The kilogram is defined as follows: "The kilogram is defined by taking the fixed numerical value of h to be 6.626070151034 when stated in the unit Js, which is equivalent to kgm2s1, where the meter and the second are defined in terms of speed".
What is the value of h(k)?The K value of a cyclotron, also known as the bending limit, is determined by the charge-to-mass ratio and the achievable energy, where is the particle's kinetic energy and is the atomic mass number.
The absolute values of 3 and -3 are equal since they are both three steps away from zero. Temperature sensitivity See Hooke's law for the spring's force constant.
Vapor-liquid equilibrium is the ratio of the equilibrium vapor concentration to the equilibrium liquid concentration.
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What is the factorization of the polynomial below?
x^2 - 5x - 36
OA. (X-9)(x+4)
OB. (x+9)(x-4)
OC. (x+9)(x+4)
OD. (X-9)(x-4)
The factorization of the polynomial is ( x - 4 ) ( x + 9 )
What is factorization?factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.
We are given the function as
x² + 5x - 36
We have to find out the two numbers when multiplied results to 36 & when subtracted results to 5.
The numbers are 9 and 4
x²+ ( 9 - 4)x - 36
Distribute x :
x² + 9x - 4x - 36
Take the common :
x ( x + 9 ) - 4 (x + 9 )
( x - 4 ) ( x + 9 )
Hence, The right answer is of Option C [ ( x - 4 ) ( x + 9 ) ]
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PLEASE HELP ME NOW THANK YOU I WILL GIVE YOU BRAINLIEST
[tex]-2(6x+36)-7x\leq 23 and 6x+10\ \textgreater \ 40[/tex]
Answer:
The first inequality can be solved by combining like terms and isolating x on one side:
-2(6x + 36) - 7x <= 23
-12x - 72 - 7x <= 23
-19x - 72 <= 23
-19x <= 95
x >= -5
The second inequality can be solved by subtracting 10 from both sides:
6x + 10 > 40
6x > 30
x > 5
The solution to both inequalities is x >= -5 and x > 5, which means that x is a real number greater than 5.
Find the perimeter and area of these shapes asap!
Answer: #1 a=226
Step-by-step explanation:#1, split the shale into 2 parts. A small square with the 6 and 16. Then subtract six from sixteen and you have the height of the rectangle. Then take your difference (10) and multiply it with your width (19)= 190
Then do the little square which is 6x6=36. Add 190 and 36
Answer:
The area and the perimeter is 225 and 152. I'll show you how to do the rest below:
Step-by-step explanation:
For the Area you Multply all the numbers together
And for the perimeter you multiply the numbers by four
I hope you understand! let me know in the reply box
The height of parallelogram whose area is 35 cm2 and altitude 7 cm
Answer:
altitude is same as height =7cm
Step-by-step explanation:
area of parallelogram=height (altitude) × base length
Define and distinguish among mean, median, and mode. Choose the correct description of the mean below. O A. The mean is the most common value in a data set. It can be strongly affected by outliers. O B. The mean is the sum of all the values divided by the number of values. It can be strongly affected by outliers. O C. The mean is the most common value in a data set. It is not affected by outliers. O D. The mean is the sum of all the values divided by the number of values. It is not affected by outliers. O E. The mean is the middle value in a data set. It can be strongly affected by outliers O F. The mean is the middle value in a data set. It is not affected by outliers.
Answer:
As far as I know
Mode: The most frequent number—that is, the number that occurs the highest number of times. Example: The mode of {4 , 2, 4, 3, 2, 2} is 2 because it occurs three times, which is more than any other number.
The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.
Please help me I'm stuck and just don't get it
Answer:
Point 1: (2,6)
Point 2: (8,6)
If this help please set brainliest.
The path of a drinking fountain is designed to reach a maximum height of 4.5 feet after 1 second. The spout is at a height of 4 feet. If the water pressure decreases, the water does not reach the intended height. Complete the values for the inequality in vertex form to describe the points that are less than the projected path. y__a(x – h)2 + k
a=
h=
k=
The values for the inequality in vertex form is y < -1.5(x - 1)^2 + 4.5
How to determine the equation of the parabolaThe equation for a parabolic function in vertex form is given by y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.
The vertex of the parabolic path of the drinking fountain is (1, 4.5). So, h = 1 and k = 4.5.
Substituting the values for h and k into the equation:
y = a(x - 1)^2 + 4.5
Now, we need to determine the value of a using the point
(x, y) = (2, 4)
So, we have
a(2 - 1)^2 + 4.5 = 4
Evaluate
a = -1.5
So, we have
y = -1.5(x - 1)^2 + 4.5
Express as inequality
y < -1.5(x - 1)^2 + 4.5
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Complete question
The path of a drinking fountain is designed to reach a maximum height of 4.5 feet after 1 second. The spout is at a height of 4 feet after 2 seconds. If the water pressure decreases, the water does not reach the intended height. Complete the values for the inequality in vertex form to describe the points that are less than the projected path. y__a(x – h)2 + k
Answer:
Step-by-step explanation:
The path of a drinking fountain is designed to reach a maximum height of 4.5 feet after 1 second. The spout is at a height of 4 feet. If the water pressure decreases, the water does not reach the intended height.
Complete the values for the inequality in vertex form to describe the points that are less than the projected path.
y
✔ <
a(x – h)2 + k
a =
✔ –0.5
h =
✔ 1
k =
✔ 4.5
On a given blueprint 1 inch equals 20 feet if the dimensions of a building is on the blueprint are 2.75 inches times 4.5 inches what are the actual building measurements
On solving the provided question, we can say that by equation =2.75x = 50feet and 4.5x = 900 feet in actual
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
here, we have
1 in = 20 feet
let it be x 20 feet,
then by equation =2.75x = 50feet and 4.5x = 900 feet in actual
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Geometry math perpendicular bisectors please help
If QT is perpendicular bisector of PR then the measures are
x = 7y = 11PQ = 24SR = 32PT = 20PR = 40How to find the measuresThe figure consist of two isosceles triangles, for an isosceles triangle the two sides are equal
For the triangle that has the value of x, TSR
4x + 4 = 7x - 17
4 + 17 = 7x - 4x
3x = 21
x = 7
For triangle PQR
5y - 31 = 2y + 2
5y - 2y = 2 + 31
3y = 33
y = 11
PQ = 5y - 31 = 5 * 11 - 31 = 24
SR = 7x - 17 = 7 * 7 - 17 = 32
PT = 6x - 2y = 6 * 7 - 2 * 11 = 20
PR = 2 * PT= 2 * 20 = 40
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five digit numbers divisible by 12
Answer:
There are 7500 five digit numbers divisible by 12. Out of the 7500 5-digit numbers divisible by 12, 7500 are even numbers and 0 are odd numbers. What is the smallest five digit number divisible by 12? The smallest 5-digit number divisible by 12 is 10008.
Step-by-step explanation:
What is the domain of f 7?
The domain of the function [tex]f(x) = 7[/tex] is (-∞, ∞). It means that all real numbers are domains for the given function.
The domain of the function is the set of numbers for which the function is defined. It acts as input for the function and gives output known as range.
The range of the function is the set of numbers of possible output values.It is derived from set of inputs known as domain.
The domain of the expression [tex]f(x)=7[/tex] is all real numbers except where the expression is undefined. In this given case, there is no real number that makes the expression undefined.
Hence, The domain for the given expression is (-∞, ∞).
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It costs $31 for 3 visitors to take a tour. It costs $80 for 10 visitors to take the same tour. What is the rate of change?
The rate of change is $2.33 per visitor
What is rate of change?Rate of change refers to how quickly something changes over time. For example, acceleration is the rate of change of velocity with time.
Velocity is also the rate of change in position with time.
Rate of change means difference or changes with time.
It cost $31 for 3 visitor. This means that the cost per visitor is $31/3 = $10.33
It cost $80 for 10 visitor. This means that the cost for one visitor is 80/10 = $8
The rate of change is the difference in rate. This means that rate of change = $10.33 - $8
= $2.33/visitor
Therefore the rate of change is $ 2.33 per visitor.
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Determine the number of unique triangles that can be made from the following information: For ∆LMN, ∠ = 31°, /LM = 6.9, and /MN = 3.4.
Answer:
Step-by-step explanation:
There is only one unique triangle that can be made with this information.
Describe the range of values for the correlation coefficient Choose the correct answer below. A. The range of values for the correlation coefficient is - 1 to 1. not inclusive. B. The range of values for the correlation coefficient is - 1 to 1, inclusive. C. The range of values for the correlation coefficient is 0 to 1, not inclusive D. The range of values for the correlation coefficient is 0 to 1, inclusive.
The range of values for the correlation coefficient is - 1 to 1, inclusive is the correct answer.
What is value?Value is an important concept in economics, philosophy, and psychology. In economics, value is the amount of utility or satisfaction that an individual derives from a good or service. In philosophy, value is the worth or usefulness of something, based on its purpose. In psychology, value is the perceived importance of something that influences an individual's behavior. Value can also be seen as a measure of the worth of an object or action. Value is subjective and can differ from one person to another, depending on their beliefs and experiences. Value is also a key factor in decision-making and can help individuals make informed choices.
The range of values for the correlation coefficient is -1 to 1, inclusive. This means that the correlation coefficient can range from a perfect negative correlation (-1) to a perfect positive correlation (1).
Values in between those two extremes indicate a weaker correlation.
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Ajar contains 24 blue marbles, 16 red marbles, and 14 white marbles. Find the simplified ratio
of total marbles to red marbles.
Answer:
Answer: 27:8
Step-by-step explanation:
There are 24 + 16 + 14 = 24+16+14= 54
54 marbles in total.
The ratio of total marbles to red marbles is 54 : 16, which simplifies to 27 : 8.
Answer: 27:8
what is the square root of 0.4
Answer:
0.6324
Step-by-step explanation:
Answer:
0.63245553203. that is the square root
2. Use what you know about equivalent expressions to write an expression equivalent to the
one given.
a. 5n
b. 2n+2
c. 4n-4
d. 3n+2n + n
The equivalent of the expression given as (2n + 4) - 2 is 2n + 2
How to determine the equivalent expressionFrom the question, we have the following parameters that can be used in our computation:
(2n + 4) - 2
To start with, we need to remove the brackets
So, we have the following representation
(2n + 4) - 2 = 2n + 4 - 2
Next, we evaluate the like terms
(2n + 4) - 2 = 2n + 2
Hence, the equivalent expression is 2n + 2
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Complete question
Use what you know about equivalent expressions to write an expression equivalent to the one given.
(2n + 4) - 2
a. 5n
b. 2n+2
c. 4n-4
d. 3n+2n + n
Solve and graph.
-4p>-28
Answer:
p < -7
Step-by-step explanation:
-4p > 28 Divide both sides by -4 and flip the sign
p < -7
a. Find the area of the region enclosed by one loop of the curve. r = sin(10θ)
b. Find the area that it encloses r = 4 + 2 cos(θ)
a. The area enclosed by one loop of the curve is:
Area = 1/2 * ∫(1-cos²(10θ))dθ from θ₁ to θ₂
b. The area that it encloses r = 4 + 2 cos(θ) is:
Area = 1/2 * ∫((4 + 2 cos(θ))²)dθ from θ₁ to θ₂
Polar Area Calculationa. To find the area enclosed by one loop of the curve r = sin(10θ), we can use the formula for the area of a polar region, which is:
Area = 1/2 * ∫(r²)dθ from θ₁ to θ₂
However, to use this formula, we need to express r in terms of θ. To do this, we can use the identity sin²(θ) + cos²(θ) = 1:sin²(10θ) + cos²(10θ) = 1r² = sin²(10θ) = 1 - cos²(10θ)So the area enclosed by one loop of the curve is:Area = 1/2 * ∫(1-cos²(10θ))dθ fromθ₁ to θ₂
b. To find the area enclosed by one loop of the curve r = 4 + 2 cos(θ) we can use the same formula,
Area = 1/2 * ∫(r²)dθ from θ₁ to θ₂Area = 1/2 * ∫((4 + 2 cos(θ))²)dθ from θ₁ to θ₂It should be noted that the above result are for one loop only, if you want the area enclosed by multiple loops, you should multiply the result by the number of loops.Learn more about Polar Area here:
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Let g(x)=∫x0f(t)dt where f is the function whose graph is shown. Evaluate g(0), g(2), g(4), g(6) and g(12)?
The function g(x) is the integral of f(t) from 0 to x, where f(t) is the function whose graph is shown. This means that the value of g(x) is the area under the graph of f(t) from 0 to x.
g(0) = 0
g(2) = 8
g(4) = 24
g(6) = 48
g(12) = 96
g(0) = ∫02f(t)dt = 0
g(2) = ∫22f(t)dt = 8
g(4) = ∫42f(t)dt = 24
g(6) = ∫62f(t)dt = 48
g(12) = ∫122f(t)dt = 96
The function g(x) is the integral of f(t) from 0 to x, where f(t) is the function whose graph is shown. This means that the value of g(x) is the area under the graph of f(t) from 0 to x. To evaluate g(x) for a given value of x, we need to calculate the area under the graph of f(t) from 0 to x. In this case, the area under the graph of f(t) from 0 to 2 is 8, from 0 to 4 is 24, from 0 to 6 is 48 and from 0 to 12 is 96. Therefore, g(0) = 0, g(2) = 8, g(4) = 24, g(6) = 48 and g(12) = 96.
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Ann has 440 meters of fencing and wishes to enclose a rectangular field.
Suppose that a side length (in meters) of the field is x, as shown below.
The function that gives the area A(x) of the field (in square meters) in terms of x is A(x)=(220x-x²).
What is the area of a rectangle?The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.
Ann has 440 meters of fencing and wishes to enclose a rectangular field is x.
We know that, the perimeter of a rectangle is P=2(Length+Width)
Let the length of a rectangle be x.
Now, 440=2(x+Width)
Width=220-x
a) A function that gives the area A(x) of the field (in square meters) in terms of x.
A(x)= x(220-x)
A(x)=(220x-x²)
b) Side length x gives the maximum area that the field can have
220x-x²=0
220x=x²
x=220 meters
So, Side length x= 220 meters
Therefore, the function that gives the area A(x) of the field (in square meters) in terms of x is A(x)=(220x-x²).
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Find length of third side help please
Length of third side = 10 units.
What is Pythagorean theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
Here, given that,
Height = 7 units
Base = √51 units
And, we have, it is a right angle triangle
and we have to find the hypotenuse.
By Pythagorean theorem we get,
Hypotenuse = √7²+ 51
=√100
=10 units.
Hence, Length of third side = 10 units.
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Please help me !!!<3Aisha will choose between two restaurants to purchase pizzas for her party. The first restaurant charges a delivery
fee of $5 for the entire purchase and $16 per pizza. The second restaurant has no delivery fee and charges $17 per
pizza. Let x be the number of pizzas purchased.
For each restaurant, write an expression for the total charge of purchasing a pizzas (with delivery).
Total charge from the first restaurant (in dollars):
Total charge from the second restaurant (in dollars) =
Write an equation to show when the total charge (with delivery) would be the same for each restaurant.
The system of equations are y₁ = 16x₁ + 5 and y₂ = 17x₂ respectively
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be represented as A
Now , the value of A is
The first restaurant charges a delivery fee of $5 for the entire purchase and $16 per pizza
So , y₁ = 16x₁ + 5
where x is the number of pizzas and y is the total charge
Let the second equation be represented as B
And , The second restaurant has no delivery fee and charges $17 per pizza
So , y₂ = 17x₂
Now , Total charge from the first restaurant (in dollars) is given by the equation , y₁ = 16x₁ + 5 where x₁ is the number of pizzas
And , Total charge from the second restaurant (in dollars) is given by the equation , y₂ = 17x₂ where x₂ is the number of pizzas
For the total charge to be same for each restaurant , y₁ = y₂
Substituting the values in the equation , we get
16x₁ + 5 = 17x₂
And , when x₁ = x₂
16x₁ + 5 = 17x₁
Subtracting 16x₁ on both sides of the equation , we get
x₁ = 5
So , the total charge would be same if the number of pizzas from the first restaurant is 5
Hence , the system of equations are solved
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Last year your salary for your full-time job was $23,000. You
contributed $1,000 to your company's retirement plan. Your
savings account interest totaled $35. And Your health
insurance premiums totaled $2,400. You are married and
took the standard deduction of 24,000. What is your taxable
income?
The taxable income is $17235.
Given :
salary for full-time job : $23,000
Salary contributed to your company's retirement plan : $1,000
savings account interest : $35
health insurance premiums : $2,400
standard deduction : 2400
Since , salary for full-time job is $23,000
After , contribution to your company's retirement plan = $23,000-$1,000=$22,000
Since , interest is $35 and health health insurance premiums costs $2,400
Net salary = $22,000 - $2,400 + $35 = $19635
Salary after the standard deduction of 2400 = $17235.
Hence, the taxable income is $17235.
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For the canned food drive, 6 students each collected the same number of cans. They collected 48 cans in all. How many cans did each student collect
Answer:
They each collected 8
Step-by-step explanation:
If all 6 collected the same amount, we can just divide the total amount of cans by 6
48/6 = 8
Please help!!!!! I need it right know
1) The increasing interval of the function is (-5.5,-5)∪(-4, -3)∪ (2,∞).
2) The decreasing interval of the function is (-5,-4)∪(1,2).
3. The negative interval is (-5.5, -3.25).
4. The positive interval is (-3.25,∞).
5. The minimum are at (-4,-2) and (2,0).
6. The maxima are at (-5,0).
7. The domain of the function is (-5.5,∞).
8. The range of the function is (-2.5,∞).
9. The value of f(-5) is 0.
10. The value of f(1) is 2.5.
What is increasing interval?
The interval is expanding if the value of the function f(x) grows as the value of x increases, and it is contracting if f(x) shrinks as x shrinks.
The graph is increasing in between points (-5.5,-2.5) to (-5,0), (-4,-2)to (-3,2.5) and (2,0) to (∞,∞)
The increasing interval is (-5.5,-5)∪(-4, -3)∪ (2,∞).
The graph is decreasing (-5,0 to (-4,2) and (1,2.5) to (2,0).
The decreasing interval of the function is (-5,-4)∪(1,2).
If the value of x for which the value of f(x) is negative, the interval is known as the negative interval.
From the point (-5.5, -2.5) to (-3.25,0), the graph lies below x-axis.
Thus the negative interval is (-5.5, -3.25).
If the value of x for which the value of f(x) is positive, the interval is known as the positive interval.
From the point (-3.25,0) to (∞,∞), the graph lies above x-axis.
Thus the negative interval is (-3.25,∞).
The graph of a function y = f(x) has a local maximum at the point where the graph changes from increasing to decreasing. At this point the tangent has zero slopes. At the point when the graph shifts from declining to increasing, a local minimum is present.
The minimum is at (-4,-2) and (2,0).
The maxima are at (-5,0).
The possible value of the x-coordinates of the graph is the domain of the graph.
The domain of the graph is (-5.5,∞).
The possible value of the y-coordinates of the graph is the range of the graph.
The range of the graph is (-2.5,∞).
The y-coordinate of a point at x = a on the graph is the value of f(a).
(-5,0) is a point on the graph. Thus the value of f(-5) is 0.
(1,2.5) is a point on the graph. Thus the value of f(1) is 2.5.
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PLS HELP MEE.. I hv BEEN working on this question for days..i hv to submit it today...
Answer:
Below
Step-by-step explanation:
Working on this for days ? Seriously ??
5 x 10 ^8 = 50 x 10^7
50 x 10^7 + 2 x 10^7 = 52 x 10^7 = 5.2 x 10^8 = 520, 000,000
Pick the form you need.....
A farm raises cows and chickens. The farmer has a total of 40 animals. One day he counts the legs of all his animals and realizes he has a total of 118 legs. How many chickens does the farmer have?.
After solving, the farmer have total 21 chicken and 19 cows.
In the given question, a farm raises cows and chickens.
The farmer has a total of 40 animals.
One day he counts the legs of all his animals and realizes he has a total of 118 legs.
We have to find how many chickens the farmer have.
Let the number of cows that the farmer have is x.
Let the number of chicken that the farmer have is y.
The farmer has a total of 40 animals.
So the equation should be
x + y = 40....................(1)
As we know that a cow has 4 legs and a chicken has 2 legs.
He has a total of 118 legs.
Now the equation should be
4x + 2y = 118....................(1)
Substituting x = 40 - y from the equation 1, we get
4(40 - y) + 2y = 118
160 - 4y + 2y = 118
160 - 2y = 118
Subtract 160 on both side, we get
-2y = - 42
Divide by -2 on both side, we get
y = 21
Now putting the value of y in x = 40 - y, we get
x = 40 - 21
x = 19
Hence, the farmer have total 21 chicken and 19 cows.
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The farmer has 0 chickens and 40 cows.
Let's solve this problem using an algebraic equation. First, we will assign a variable to represent the number of chickens the farmer has. We will call this variable 'x'. We also know that the total number of animals the farmer has is 40. Therefore, we can write an equation that states:
x + (40 - x) = 40
This equation states that the sum of the number of chickens and the number of cows is equal to the total number of animals the farmer has. Now, let's look at the number of legs the animals have. We know the total number of legs is 118. We also know that chickens have two legs and cows have four legs. We can now write another equation that states:
2x + (4(40 - x)) = 118
This equation states that the sum of the number of chicken legs and the number of cow legs is equal to the total number of legs the animals have. We can solve for x by multiplying both sides of the equation by -1 and then adding both equations:
2x + (4(40 - x)) = 118
-2x - (4(40 - x)) = -118
0x = -118 + 118
0x = 0
Since 0x = 0, we can conclude that x = 0. This means that the farmer has 0 chickens and 40 cows.
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FInd the value of a, b and c
The angles in the triangle is as follows:
a = 55°b = 97°c = 83°How to find the angle of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
Therefore, let's find the angles a, b and c in the triangle as follows:
c + 44 + 53 = 180(sum of angles in a triangle)
c = 180 - 44 - 53
c = 83 degrees
Therefore, let's find the value of a and b.
b + 83 = 180 (sum of angle on straight)
b = 180 - 83
b = 97 degrees.
Hence,
28 + 97 + a = 180(sum of angles in a triangle)
a = 180 - 28 - 97
a = 55 degrees.
Therefore,
a = 55°
b = 97°
c = 83°
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A carpenter is making a wooden window frame that has a width of 1 inch. A window with a one-inch frame is shown. The frame is comprised of a rectangle and a semicircle. The rectangle has side lengths of 12 inches and 48 inches. The semicircle has a radius of 6 inches. The frame is 1-inch wider than the window. How much wood does the carpenter need to build the frame
The carpenter needs 1602.76 inches of wood to build the frame, which includes a 13x49 inch rectangle, a 12x48 inch rectangle, and a 7 inch radius semicircle.
Rectangle 1:
13 x 49 = 637 inches
Rectangle 2:
12 x 48 = 576 inches
Semicircle:
3.14 x 7 x 7 = 153.94 inches
Total = 637 + 576 + 153.94 = 1602.76 inches of wood
The second piece will be a rectangle with sides of 12 inches and 48 inches. The third piece will be a semicircle with a radius of 7 inches. Therefore, the carpenter will need a total of
(13 x 49) + (12 x 48) + (3.14 x 7 x 7)
= 1602.76 inches of wood to build the frame.
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