Given:
Radius of circle = 3 ft.Height of triangle = 4 ft.1. Finding the area of the semi-circle:Since the area of the semi-circle is the area of half the circle, the formula of finding the area of the circle will be divided by 2 to find the area of the semi-circle.
This means that:
Area of semi-circle = Area of circle/2 = πr²/2Now, let's substitute the radius into the formula to find the area.
Substituting the radius into the equation:
Area of semi-circle = πr²/2 => Area of semi-circle = (π)(3²)/2Simplifying the RHS:
=> Area of semi-circle = (π)(3²)/2 => Area of semi-circle = (π)(9)/2Substituting π as 3.14:
=> Area of semi-circle = (π)(9)/2 => Area of semi-circle = (3.14)(9)/2Simplifying the RHS:
=> Area of semi-circle = (3.14)(9)/2 => Area of semi-circle = (1.57)(9)=> Area of semi-circle = 14.132. Finding the area of the triangle:Before we find the area of the triangle, we need to know the base, which is the diameter of the semi-circle.
Diameter = 2(Radius)=> Diameter = 2(3)=> Diameter = 6 feetNow, let's find the area of the triangle.
Area of triangle = 1/2 x 6 x 4=> Area of triangle = 3 x 4=> Area of triangle = 12 ft²3. Finding the area of the figure:The area of the figure is basically the sum of the semi-circle and the triangle.
=> Area of figure = Area of triangle + Area of semi-circle=> Area of figure = 12 + 14.13=> Area of figure = 26.13 ft²Thus, the area of the figure is 26.13 ft².
If you have any questions or any confusions, post them in the comments.
Olivia is growing roses and keeps track of how much fertilizer (in ounces) she adds to the soil and how many blooms each rose bush has. She finds a linear relationship that can be modeled by the equation y = 1. 345x 4. When will Olivia only have 4 blooms?.
Olivia only has 4 blooms when she adds no fertilizer.
What is the equation of a line?According to the conditions of the question, being x the ounces of fertilizer Olivia adds to the soil, and y the number of blooms each rose bush has, the relation between them.
Given
Olivia is growing roses and keeps track of how much fertilizer (in ounces) she adds to the soil and how many blooms each rose bush has.
She finds a linear relationship that can be modeled by the equation y = 1. 345x + 4.
The equation of the line is;
[tex]\rm y=1.345x+4\\\\[/tex]
It's bee required to compute the value of x such that the roses have 4 blooms, thus
[tex]\rm 1.345x+4=4\\\\ 1.345x=4-4\\\\1.345x=0\\\\ x=0[/tex]
Hence, Olivia only has 4 blooms when she adds no fertilizer.
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My teenage brother plays on his computer game for 15 hours each day. How many hours will he have played on his computer in a week?
Answer:
self awareness it's is to know more about your self
Answer:
105
Step-by-step explanation:
when joe got out of bed, it was 58° in his room. He turned on the heater, and the temperature warmed up to 67° in five minutes. How many degrees per minute did the temperature rise?
Answer:
it raised by 9 so.. look below
Step-by-step explanation:
it took 5 minutes to raise 9 degrees so all you do is you do 9/5
9/5 is 1.8
It raised 1.8 degrees per minute
In the diagram below lines HA and BC are parallel. If angle GEC = 135, what is angle DEC?
Answer:
45
Step-by-step explanation:
angles on a straoght line = 180
180-135=45
The angle DEC is 180°-135°=45°.
What is the angle o a straight line?The angle in a straight line says that the sum of all the angles on a straight line is 180°.opposite vertical angle is the two opposite angles on a parallel line at the point of intersection.angle y=135° (opposite vertical angle).
The angle on a straight line is 180°angle y+z=180°
What's a perspective?In-plane Geometry, a parent that is fashioned via two rays or lines that shares a not unusual endpoint is called an angle. The phrase “attitude” is derived from the Latin phrase “angulus”, because of this “nook”. the two rays are known as the edges of an angle, and the not unusual endpoint is known as the vertex.
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2. An object is launched at an upward velocity of 96 feet per second from the top
of a building 160 feet above the ground. Use the vertical motion model
h=-16t+vt+c where h is the ending height of the object, c is the initial height, in
feet, of the object, t is the time in seconds, and v is the velocity of the object
Answer:
3,304
Step-by-step explanation:
The ending height of the object is 304 feet.
Given that, an object is launched at an upward velocity of 96 feet per second from the top of a building 160 feet above the ground.
The vertical motion model is [tex]h=-16t^2+vt+c[/tex].
Here, c=160 and v=96
Now, [tex]h=-16t^2+96t+160[/tex]
Maximum h is at axis of symmetry.
Thus, [tex]t=-\frac{b}{2a}[/tex]
[tex]= -\frac{96}{2\times(-16)}[/tex]
[tex]= -\frac{96}{(-32)}[/tex]
[tex]= 3[/tex]
Substitute [tex]t=3[/tex] in [tex]h=-16t^2+96t+160[/tex], we get
[tex]h=-16\times3^2+96\times3+160[/tex]
[tex]= -16\times9+288+160[/tex]
[tex]= -144+448[/tex]
[tex]= 304[/tex]
Therefore, the ending height of the object is 304 feet.
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Do number 7 pleaseeee
Explanation:
Let's say 5 people get a lunch platter. The cost would be 7*5 = 35 dollars.
Or if 3 people got the lunch platter, then it would be 7*3 = 21 dollars
In general, the cost is 7p dollars where p is a placeholder for a whole number. So that's how we end up with c = 7p
If it is one platter per person, the following will be true,
Answer:
c = 7p
Step-by-step explanation:
This is because every time someone buys a platter, it adds $7 to the total cost
-> If two people buy a platter, it is 7 + 7, aka 7 *2
-> If three, it is 7 + 7 + 7 aka 7 * 3
Using this pattern, we can see that the total cost will be 7 times the number of people there.
We can put this into an equation by doing:
c = 7p
Solve for brainiest
4/x+2 + 8/x+5 - 8/x+3 - 4/x+6
Answer:
i think it will be like take all of from lcm x then
takke - to opent the answer will be =-4
Groundhog's Day is on February 2nd each year. On this day, in Punxsatawney, Pennsylvania, thousands of onlookers watch to see if Phil, the groundhog, will cast a shadow. If he does, then six more weeks of winter are predicted. If he doesn't, then an early spring is predicted. Historically, Phil's prediction has only been correct about 40% of the time.
Using complete sentences, design a simulation to determine the probability that Phil's prediction will be correct at least two out of the next three years. Make sure to explain how you would use the simulation to determine the probability.
Answer:
In the theory of chances, it states that no matter what the average, chance can change it no matter what. Like someone getting good chances in a video game 2 times in a row. its rare, but compared to how many people play the game and how often, it was bound to happen at some point. the chances could be tiny, but it could still happen. just like if 100 monkeys were on typewriters typing 60 wpm, one would eventually type Abraham Lincoln. low chance, but if all these monkeys are doing it enough, it would happen eventually. so, it is entirely possible that 2/3 of his next predictions will be correct.
Step-by-step explanation:
5(y + ⅖) = -13 May i pleas get help
Answer:
y = -3
Step-by-step explanation:
You want the solution to the equation 5(y +2/5) = -13.
SolutionThis is a 2-step equation.
Step 1, divide by 5:
y +2/5 = -13/5
Step 2, subtract 2/5
y = -13/5 -2/5 = -15/5
y = -3
Answer: y = -3
Step-by-step explanation:
[tex]\boldsymbol{\sf{Exercise\:solution \longmapsto \ 5\left(y+\dfrac{2}{5}\right)=-13 }}[/tex]
We multiply each term between kinship by 5.
[tex]\boldsymbol{\sf{5y+5\times\dfrac{2}{5}=-13 }}[/tex]
We calculate the product of rational numbers.
[tex]\boldsymbol{\sf{5y+2=-13 }}[/tex]
The constant moves to the right side and the sign is changed.
[tex]\boldsymbol{\sf{5y=-13-2 }}[/tex]
We find the sum of two negative numbers.
[tex]\boldsymbol{\sf{5y=-15 }}[/tex]
We divide both sides by the same number.
[tex]\boldsymbol{\sf{5y=-15 \ It \ changes \ y=\dfrac{-5}{5} =-3} }\\\\\ \ \ \ \ \ \ \ \boxed{\boldsymbol{\sf{y=-3 }}}\boldsymbol{\sf{ \ \longmapsto \ Answer}}[/tex]
1/2,7/8,3/4 in least to greatest order
To find which of the set of numbers is the least or greatest, we must find the value of them:
1/2 = 0.57/8 = 0.8763/4 = 0.75Thus the numbers from least to greatest is 1/2, 3/4, 7/8
Hope that helps!
Which statements are true about squares? Select all that apply.
Answer: B, C, D
Step-by-step explanation:
Are correct:
B) Diagonals are perpendicular
C) Consecutive Angles are Supplementary
D) Diagonals bisect angles
Not correct:
A) Diagnols are congruent to sides is not correct the because diagonals of a square are congruent to each other, not to the sides
Tumbleweed, commonly found in the western United States, is the dried structure of certain plants that are blown by the wind. Kochia, a type of plant that turns into tumbleweed at the end of the summer, is a problem for farmers because it takes nutrients away from soil that would otherwise go to more beneficial plants. Scientists are concerned that kochia plants are becoming resistant to the most commonly used herbicide, glyphosate. In 2014, 19. 7 percent of 61 randomly selected kochia plants were resistant to glyphosate. In 2017, 38. 5 percent of 52 randomly selected kochia plants were resistant to glyphosate. You will conduct a significance test to determine if the data provides convincing statistical evidence, at the level of a = 0. 05, that there has been an increase in the proportion of all kochia plants that are resistant to glyphosate?
Using the z-distribution, as we are working with a proportion, it is found that since the test statistic is less than the critical value for the right-tailed test, there is not enough evidence to conclude that there has been an increase in the proportion of all kochia plants that are resistant to glyphosate.
In this problem, we consider that:
[tex]p_1[/tex] is the proportion in 2014.[tex]p_2[/tex] is the proportion is 2017.What are the hypothesis tested?At the null hypothesis, we test if there has been no increase, that is, the subtraction is of 0.
[tex]H_0: p_2 - p_1 = 0[/tex]
At the alternative hypothesis, we test if there has been an increase, hence:
[tex]H_1: p_2 - p_1 \neq 0[/tex].
What is the distribution of the difference of sample proportions?The proportions and standard errors are given by:
[tex]p_1 = 0.197, s_1 = \sqrt{\frac{0.197(0.803)}{61}} = 0.0509[/tex]
[tex]p_2 = 0.385, s_2 = \sqrt{\frac{0.385(0.615)}{52}} = 0.0675[/tex]
Hence, the distribution has mean and standard error given by:
[tex]\overline{p} = p_2 - p_1 = 0.0675 - 0.0509 = 0.0166[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0509^2 + 0.0675^2} = 0.0845[/tex]
What is the test statistic?It is given by:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
In which p = 0 is the value tested at the null hypothesis, hence:
[tex]z = \frac{0.0166}{0.0845}[/tex]
[tex]z = 0.2[/tex]
What is the decision?Considering a right-tailed test, as we are testing if the proportion is greater than a value, with a significance level of 0.05, the critical value is of [tex]z^{\ast} = 1.645[/tex]
Since the test statistic is less than the critical value for the right-tailed test, there is not enough evidence to conclude that there has been an increase in the proportion of all kochia plants that are resistant to glyphosate.
More can be learned about the z-distribution at https://brainly.com/question/26454209
The mean of 6 numbers is 34.Calculate the sum of the numbers
Answer:
mean = fx/n
34= fx/6
34×6 = fx
fx = 204
sum= 204
M = f/x. (M=mean ,f=sum of no. ,
x = total no.)
36 = f/6
f=36×6
f = 216Please mark my answer the brainliest and rate me 5 star and follow me.please please please please please please
State the value of "c" such that the following polynomial is a perfect square trinomial.
x^2 - 14x + c
If you could show your work that would be great!
Answer:
Consider the quadratic equation
x
2
+
4
x
+
4
=
0
, which, on the left side, is also a perfect square trinomial. Factoring to solve:
⇒
(
x
+
2
)
(
x
+
2
)
=
0
⇒
x
=
−
2
and
−
2
Two identical solutions! Recall that the solutions of a quadratic equation are the x intercepts on the corresponding quadratic function.
So, the solutions to the equation
x
2
+
5
x
+
6
=
0
, for example, will be the x intercepts on the graph of
y
=
x
2
+
5
x
+
6
.
Similarly, the solutions to the equation
x
2
+
4
x
+
4
=
0
will be the x intercepts on the graph of
y
=
x
2
+
4
x
+
4
.
Since there is really only one solution to
x
2
+
4
x
+
4
=
0
, the vertex of the function
y
=
x
2
+
4
x
+
4
lies on the x axis.
Now, think of the discriminant of a quadratic equation. If you don't have previous experience with it, don't fret.
We use the discriminant,
b
2
−
4
a
c
, to verify how many solutions, and the solution type, a quadratic equation of the form
a
x
2
+
b
x
+
c
=
0
may have without solving the equation.
When the discriminant equals less than
0
, the equation will have no solution. When the discriminant equals exactly zero, the equation will have exactly one solution. When the discriminant equals any number more than zero, there will be exactly two solutions. If the number in question that you get as a result is a perfect square in the latter case, the equation will have two rational solutions. If not, it will have two irrational solutions.
I've already shown that when you have a perfect square trinomial, you will have two identical solutions, which is equal to one solution. Hence, we can set the discriminant to
0
and solve for
c
.
Where
a
=
1
,
b
=
14
and
c
=
?
:
b
2
−
4
a
c
=
0
14
2
−
4
×
1
×
c
=
0
196
−
4
c
=
0
4
c
=
196
c
=
49
Thus, the perfect square trinomial with
a
=
1
and
b
=
14
is
x
2
+
14
x
+
49
. We can verify this by factoring.
x
2
+
14
x
+
49
=
(
x
+
7
)
(
x
+
7
)
=
(
x
+
7
)
2
Practice exercises:
Using the discriminant, determine the values of
a
,
b
,
or
c
that render the trinomials perfect squares.
a)
a
x
2
−
12
x
+
4
b)
25
x
2
+
b
x
+
64
c)
49
x
2
+
14
x
+
c
Step-by-step explanation:
will has $79,908 in a savings account that earns 13% interest per year. to the nearest cent , how much interest will he earn in 1 year?
Answer:
10388.04
Step-by-step explanation:
I used a calculator.. But nearest if its nearest cent it might be just 10388.
Maria buys a pair of earrings for $12. 50, a necklace for $15. 50, and a shirt for $21. 98
Find the degree measure of the arc of a sector with area 36π if the area of the circle is 144π.
SHOW WORK PLEASE
The degree measure of the arc is the central angle of the circle
The degree measure of the arc is 90 degrees
How to calculate the degree measure of the arcThe area (a) of the sector is 36π and the area (A) of the circle is 144π.
The area of a sector is calculated as:
[tex]a = \frac{\theta}{360} * A[/tex]
So, we have:
[tex]36\pi = \frac{\theta}{360} * 144\pi[/tex]
Divide both sides by [tex]36\pi[/tex]
[tex]1 = \frac{\theta}{360} * 4[/tex]
Evaluate the product
[tex]1 = \frac{\theta}{90}[/tex]
Solve for [tex]\theta[/tex]
[tex]\theta = 90[/tex]
Hence, the degree measure of the arc is 90 degrees
Read more about sectors and circles at:
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Kara wants to make a histogram of the number of students who wear blue shirts in her class throughout the week. She gathered the following information: Day 1 4 students Day 2 9 students Day 3 5 students Day 4 7 students Day 5 6 students What data would be on the horizontal axis?
Answer
Days
Step-by-step explanation:
Then number of blue shirts worn on the vertical
if the car spends no time going 35 mph how long would the trip take?
The area of a trapezoid is 500 square inches. The bases of the trapezoid are 16 inches and 24
inches. What is the height of the trapezoid, in inches?
Step-by-step explanation:
area = ½ (a+b) x h
500in² = ½ (16+24) x h
500in² = ½ (40) x h
500in² = 20 x h
500in²
20 = h
h = 25 inches :)
Giving brainlyist to the first person with a complete and correct answer
Answer:
25 tubs can be filled.
Step-by-step explanation:
96 goes into 2,400, 20 times so write a 2
2,400 - 1,920 from 96 x 20 = 480
96 goes into 480, 5 times so write 5
480 - 480 is 0
therefore,
the answer is 25 R 0
A store pays two fees when a customer uses a credit card to make a purchase. These fees include:
A flat fee of $0.15
A processing fee equal to 1.75% of the dollar amount of the purchase.
There is no sales tax on the purchase.
Part A
What is the amount, in dollars and cents, the store pays in fees for a $60.00 purchase by a customer using a credit card?
Answer:
So the amount to pay is $1 and 20 cents ( or a total of 120 cents)
Step-by-step explanation:
Help pls help
It’s a grade
The first option is correct.
You could do all the math to compare the final answers, but I looked at the part where you add. Using a standard algorithm, when going on to the next digit in the second number, you always add a 0 first. The rest of those options don't include a 0.
The largest 5-digit number minus the smallest 4-digit number is equal to …
[tex]Answer:[/tex]
4999999999999999+e 313
The number is technically infinite, but since it's the largest multiple of 5, we can't make it infinite. So in this case, use the line method to represent the instance that it will go on, and on, and on.
The last number will end in 6, because any multidigit number with all 0's after the number, minus 4, is that number followed by 6 in the ones place.
Select the correct answer.
What is the value of x?
Answer:
7.5
Step-by-step explanation:
Answer? Please help quickly
The Juice Cafe posted the sign below showing the prices of smoothies of various sizes.
Which change would make the price of smoothies a function of the size?
Explain
Please Help, i’m struggling
A. change the smoothie prices so that each interval between prices is $0.50
B. change the first 12-ounce smoothie to a 10-ounce smoothie so that each smoothie size has only one price
C. change the price of the 22-ounce smoothie to $4.29 so that each price is assigned to only one smoothie size
D. change the 22-ounce smoothie to a 24-ounce smoothie so that each interval between smoothie sizes is 4 ounces
Answer:
A
Step-by-step explanation:
Changing the interval should help because im pretty sure it would make the prices cheaper
I hope this is correct if not Im really sorry
Using the 28/36 ratio, determine the maximum allowable recurring debt for someone with a monthly income of $3,200. A. $256 b. $512 c. $640 d. $896 Please select the best answer from the choices provided A B C D.
8 to 11 do it with equations thx
Answer:
Step-by-step explanation:
8. [tex]4\geq x+\frac{3}{4}[/tex]
[tex]4(4\geq x+\frac{3}{4} )[/tex]
[tex]16\geq 4x + 3[/tex]
[tex]-3[/tex] [tex]-3[/tex]
[tex]13\geq 4x[/tex]
[tex]\frac{13}{4}\geq \frac{4x}{4}[/tex]
[tex]\frac{13}{4} \geq x = x\leq \frac{13}{4}[/tex]
[tex]x\leq \frac{13}{4}=3.25[/tex]
9. [tex]x-3\leq -8[/tex]
[tex]+3[/tex] [tex]+3[/tex]
[tex]x\leq -5}[/tex]
10. [tex]4\leq x-7[/tex]
[tex]+7[/tex] [tex]+7[/tex]
[tex]11\leq x=x\geq 11[/tex]
11. 6.9 < x - 2.3
+ 2.3 + 2.3
9.2 < x = x > 9.2
Hope this helps!
what is the answer for : 3y-y
Answer:
Simplify 3y-y
2y
solution:2y
Step-by-step explanation:
Answer:
2y
Step-by-step explanation
you has to subtract the number by the y