The following measurements on a semi circle are
m< S = 47 degree
m< U = 90
x = 6.78
What are angles on a semicircle?The angle inscribed on a semicircle is equal to 90 degrees. This makes the triangle SUT a right triangle
How to find the angle on the semicircleThe angle at U is the inscribed angle and this is equal to 90 degrees
m< U = 90 degrees
m< S + m< U + m< T = 180 - sum of angle o a triangle
m< S = (9x - 14)
m< U = 90
m< T = 43
substitute the values
9x - 14 + 90 + 43 = 180
9x - 14 = 180 - 90 - 43
9x - 14 = 47
9x = 47 + 14
9x = 61
x = 61/9
x is solved to be 61/9
m< S = 9x - 14
substitute the value of x
m< S = 9 * 61/9 - 14
m< S = 47 degree
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A bicycle is traveling at 18 miles per hour.
How many feet will it cover in 45 seconds?
Round your answer to the nearest tenth of a foot.
Answer:
0.225
Step-by-step explanation:
hour= 60 min
18miles/h
18miles/60 = 0.3 per minute
minute = 60 sec
0.3/60 = 0.005 per second
0.005s x 45 sec = 0.225
Josephine earns a salary of $560.00 per week, plus a commission of 10 % on all sales. Last week she sold $843 worth of goods. How much was she paid?
$ __________ .
189,993 in expanded form
Answer:
Step-by-step explanation:
balls
Consider the matrices.
X=
[-7 7]
[-8 4]
[-8 -5]
Y=
[5 1]
[-1 6]
[3 -9]
If -3x+3y =
[a b]
[c d]
[e f]
It looks like you are trying to find the values of a, b, c, d, e, and f in the matrix [-3x+3y] given the matrices X and Y.
To find the values of a, b, c, d, e, and f, you will need to perform matrix multiplication. Here is how you would do this:
[-3x+3y] = [-3X+3Y]
= [-3*[-7 7]+3*[5 1]]
= [-3*[-7 7]+3*[5 1]]
= [-3*[-7 7]+3*[5 1]]
= [-3*[-7 7]+3*[5 1]]
= [-3*[-7 7]+3*[5 1]]
= [[-21 21] [9 -3]]
Therefore, the matrix [-3x+3y] is equal to [[-21 21] [9 -3]].
on my paper it says determine if the ratios are equivalent the number is 20:14 and 80:56
Answer:
The ratios are equivalent.
Step-by-step explanation:
If you multiply the ratio 20:14 by 4, it will give you 80:56.
or
If you simplify 80:56 by 4, it will give you 20:14
Find the quotient
3 divided by 4/5
Simplify the expression
Answer:
[tex] \frac{1}{x {}^{2} y {}^{4} }[/tex]
Step-by-step explanation:
[tex] \frac{x {}^{ - 2} }{y {}^{4} } = x {}^{ - 2} \times \frac{1}{y {}^{4} } [/tex]
[tex]x {}^{ - 2} = \frac{1}{x {}^{2} } [/tex]
[tex]therefore \: \frac{x {}^{ - 2} }{y {}^{4} } = \frac{1}{x {}^{2} } \times \frac{1}{y {}^{4} } \\ = \frac{1}{x {}^{2}y {}^{4} }[/tex]
Write 0.000000836 in scientific notation.
836 × 10 to the power of 9
836 × 10− to the power of 9
8.36 × 10 to the power of 7
8.36 × 10− to the power of 7
A teacher is making tutus for the school play. She wants to make at least 24 tutus and needs 1.25 yards of tulle for each tutu.
Write an inequality that can be used to determine the amount of tulle, x, the teacher needs to buy
Answer:
x ≥ 30
Step-by-step explanation:
The teacher wants to make at least 24 tutus. If each tutu requires 1.25 yards of tulle, then she will need to buy at least (1.25 × 24) yards of tulle. 1.25 yards × 24 is 30 yards.
The teacher will need at least 30 yards of tulle. In inequality form, this is x ≥ 30.
105 oranges, 126 apples, and 147 pears are equally packed in fruit boxes so that no fruit is left. What is the largest possible number of fruit boxes needed?
Answer:
the LCM of 105, 126, and 147 is 18420.
Since the fruit boxes need to be equally packed and no fruit is left, the largest possible number of fruit boxes needed is 18420/105 = 176 fruit boxes.
Step-by-step explanation:
To find the largest number of fruit boxes needed, we need to find the least common multiple (LCM) of 105, 126, and 147.
What is the least common multiple (LCM)?[The least common multiple is the smallest number that is a multiple of all the given numbers. One way to find the LCM of three numbers is to first find the LCM of two of the numbers, and then find the LCM of the result with the third number.]
To find the LCM of 105 and 126, we can list the multiples of each number and look for the smallest number that is a multiple of both:
Multiples of 105: 105, 210, 315, 420, 525, 630, 735, 840, 945, 1050, 1155, 1260, ...
Multiples of 126: 126, 252, 378, 504, 630, 756, 882, 1008, 1134, 1260, 1386, 1512, ...
The smallest multiple that both 105 and 126 share is 1260. Therefore, the LCM of 105 and 126 is 1260.
Now we can find the LCM of 1260 and 147 by finding the smallest multiple of 1260 that is also a multiple of 147:
Multiples of 1260: 1260, 2520, 3780, 5040, 6300, 7560, 8820, 10080, 11340, 12600, 13860, 15120, ...
Multiples of 147: 147, 294, 441, 588, 735, 882, 1029, 1176, 1323, 1470, 1617, 1764, ...
The smallest multiple that both 1260 and 147 share is 18420. Therefore, the LCM of 105, 126, and 147 is 18420.
Since the fruit boxes need to be equally packed and no fruit is left, the largest possible number of fruit boxes needed is 18420/105 = 176 fruit boxes.
What’s the correct answer answer asap for brainlist
The answer is B because that is what paraphrasing is
afla produsul a trei nnumere consecutive a,b,c stind ca a este cel mai mare numar natural de doua cifre
Answer:
what
Step-by-step explanation:
Analyze the proportion below and complete the instructions that follow.
1+3x 5
=
4 2
A. 7
5
52
Solve the proportion for x.
'B. 3
C. 5
D. 6
Please select the best answer from the choices provided
The value of x is 4/3 for equation 1+3x=5.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 1+3x=5
One plus three times of x equal to five
We need to solve for x
1+3x=5
Subtract 1 from both sides
3x=5-1
3x=4
Three times of x equal to four
Divide both sides by 3
x=4/3
Hence, the value of x is 4/3 for equation 1+3x=5.
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4. A department store offers a rewards card for frequent customers. Every time a customer earns 100
or more points, the customer receives a gift certificate. Each purchase is worth 12 points, and customers
automatically earn 25 points when they sign up. Which inequalities could be solved to find the number of
purchases, p, that a customer needs to make in order to earn the first gift certificate? Select all the correct
answers.
A) 12p+ 25 <100
B) 12p+252 100
C) 12p+ 25 100
5. A table of values is shown below.
D) 12p-25 ≥100
E) 25 > 100-12p
F) 12p≥ 100-25
Answer:
The correct inequalities that could be solved to find the number of purchases that a customer needs to make in order to earn the first gift certificate are:
A) 12p+ 25 <100
C) 12p+ 25 ≥100
D) 12p-25 ≥100
F) 12p≥ 100-25
The inequality 12p+ 25 <100 represents the condition where the customer has fewer than 100 points, so they have not yet earned the first gift certificate.
The inequality 12p+ 25 ≥100 represents the condition where the customer has 100 points or more, so they have earned the first gift certificate.
The inequality 12p-25 ≥100 represents the condition where the customer has at least 100 points, so they have earned the first gift certificate.
The inequality 12p≥ 100-25 represents the condition where the customer has at least 100 points, so they have earned the first gift certificate.
please help asap!! Show work 2 and 3
2. In rectangle ABCD, DB = 12 cm AC = 12 cm and AB = √23 cm.
3. it is proven that ∠JMK = ∠LMK = ∠JMI = ∠IML = 90° and the diagonals of the rhombus are perpendicular.
Points to remember:
Diagonals of rectangles are equal in length. By the Pythagorean theorem, In a right-angle triangleHypotenuse² = side² + side²
All rhombus are parallelograms with equal sides.Problem - 2
ABCD is a rectangle
Give that DW = 6 cm and BC = 11
As we can see that DW is half of DB
=> Length of DB = 2(6) = 12 cm
Since the diagonals of a rectangle are equal
=> Diagonal DB = Diagonals AC
=> Length of AC = 12 cm
In the given figure, ABD will form right angle triangle
As we know in right angle triangle
Hypotenuse² = side² + side²
=> DB² = AB² + AD²
=> AB² = DB² - AD²
=> AB² = 12² - 11²
=> AB² = 144 -121
=> AB² = 23
=> AB = √23
Therefore,
In rectangle ABCD, DB = 12 cm AC = 12 cm and AB = √23 cm.
Problem - 3
Given that IJKL is a rhombus
IK and JL are diagonals of rhombus intersecting at M
To prove that the diagonals are perpendicular we need to prove that
∠JMK = ∠LMK = ∠JMI = ∠IML = 90°
As we know All Rhombus are parallelograms
IJ = JK = KL = IL ---- (1)
In a parallelogram, diagonals bisect each other
Therefore, IM = KM and JM = LM ---- (2)
In ∆IML and ∆JMK
JM = ML [ From 2 ]
JK = KL [ From 1 ]
MK = MK [ Common side ]
∆ IML ≅ ∆ JMK [ By SSS congruency criteria ]
=> ∠JMK = ∠LMK
=> ∠JMK + ∠LMK = 180° [ Linear pair ]
=> ∠JMK + ∠JMK = 180°
=> 2 ∠JMK = 180°
=> ∠JMK = 90°
=> ∠JMK = ∠LMK = 90°
Similarly, ∠JMI = ∠IML = 90°
Hence, it is proven that ∠JMK = ∠LMK = ∠JMI = ∠IML = 90° and the diagonals of the rhombus are perpendicular.
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What is the slope of a line perpendicular to the line whose equation is 4 x + 10 y = -140
Answer:
5/2
Step-by-step explanation:
Perpendicular lines are opposite reciprocals:
For example, -2 and 1/2 are opposite reciprocals:
Negate 1/2 to get -1/2. Then take the reciprocal of -1/2 to get -2.
In order to find the slope of an equation, isolate y:
4x + 10y = -140 ==> solve for y
10y = -4x - 140 ==> subtract 4x on both sides
y = (-4x - 140)/10 ==> divide both sides by 10 to isolate y
y = -4x/10 - 140/10 ==> divide each term by 10
y = -2x/5 - 14 ==> simplify
^^ In this equation, the slope is -2/5 since y increases by -2/5 every time x increases by 1.
Now take the opposite reciprocal of -2/5:
First, take the reciprocal of -2/5 by switching the numerator and denominator: -2/5 ==> -5/2
Now negate the result: -5/2 ==> -(-5/2) = 5/2
Hence, 5/2 is the slope of the line perpendicular to 4x + 10y = -140
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2.85 kilograms of sugar is mixed with 3.15 kilograms of flour. What percent of this mixture is sugar?
Answer:
47.5% of the mixture is sugar.
Step-by-step explanation:
To find the percent of the mixture that is sugar, we need to first find the total weight of the mixture. We can do this by adding the weight of the sugar to the weight of the flour: 2.85 kg + 3.15 kg = 6.00 kg.
Next, we need to divide the weight of the sugar by the total weight of the mixture and multiply the result by 100% to express the answer as a percentage: (2.85 kg / 6.00 kg) * 100% = 47.5%.
Therefore, 47.5% of the mixture is sugar.
Andrew buys 8 pounds of apples for $12.00. He wants to know and use the unit rate of the cost per pound.
True or False: Two pounds of apples cost more than $3.50.
The unit rate of the cost per pound is $1.5
False: Two pounds of Apple do not cost more that $3.50
How to calculate the Unit rate of the cost per pound?
8 pounds of Apple costs $12
The unit rate is
8= 12
1= x
cross multiply both sides
8x= 12
x= 12/8
x= 1.5
Hence the unit rate of the cost per pound is $1.5
Two pounds is 1.5 + 1.5
= 3
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Please i need help-------
Answer:
Sorry I dont have enough time
I hope it helps u..
Alright Ima go teacher mode for a moment,
1.
1/3+1/5= 8/15 explanation-
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD this is basically multiplying each fraction by 1.Complete the multiplication and the equation becomes. The two fractions now have like denominators so you can add the numerators.
This fraction cant be reduced Therefore - 1/3+1/5=8/15
Alright thats the only one I will explain i'll just put the answers for the rest lol
2. 1/8+2/6= 11/24
3. 8/9+11/12= 1 29/36
4. 1/7+5/8=43/56
5. 1/4+2/4=3/4
6. 1/2+3/9=5/6
7.1/10+1/4=7/20
8.3/11+11/12= 1 25/132
9. I cant see number 9 so just tell me the bottom numbers so I can help ya out :>
10. 1/8+3/5=29/40
Hope I helped good luck on your test :> <3 Ciao mate!!!
How many ¼ pound bags of nuts can be made from a 2 1/2 pound bag of nuts?
Answer:
9 bags
Step-by-step explanation:
2 1/4 ÷ 1/4
9/4 ÷ 1/4
9/4 x 4/1 = 9
given the following table with selected values of f(x) and g(x) evaluate f(g(1))
From the table given the value of f(g(1)) = 3.
What is composite function?
Function composition is an operation о used in mathematics that takes two functions, f and g, and creates a function, h = g о f, such that h(x) = g. The function g is applied in this operation to the outcome of applying the function f to x.
From the given table we have to find the value of f(g(1)).
First to find the value of g(1).
From the table given g(1) = 3.
So, f(g(1)) becomes, f(3).
Now to find the value of f(3).
From the table given f(3) = 1.
So, f(g(1)) = 3.
Hence, from the table given the value of f(g(1)) = 3.
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if 8 is divided into pieces that are each 1/2 of a whole, how many pieces are there?
There are 16 pieces of 1/2 of a whole
How to determine how many pieces are there?
Numeric simplification is the process of reducing a number or expression to its simplest form.
If 8 is divided into pieces that are each 1/2 of a whole, there would be 16 pieces.
Mathematically, this can be written as:
8 / (1/2) = 18 × (2/1) = 16
Therefore, the pieces that are each 1/2 of a whole would result in 16 pieces.
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Mr. Cooper asks his students to simplify the expression written on the board.
Four students' responses are listed in the table.
2+2+2+e+e+
with 2 left over.
Student
Elijah
Lillian
Scarlett
Zach
Which student simplifies the expression correctly, and why?
O Elijah simplifies the expression correctly because the constant combines with the variable.
Lillian simplifies the expression correctly because 2+2+2=6 which combines with the variable.
Scarlett simplifies the expression correctly because e + e + e + e = 4e and
2+2+2=6 which cannot be combined together because they are not like terms.
Zach simplifies the expression correctly because 2e + 2e + 2e = 6e with 2 left over.
Zach's response correctly shows combining the like terms, 2e's, and giving the remaining 2 as it is.
What is a simplification of an algebraic expression?
Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easily with calculations and solving.
Zach simplifies the expression correctly because 2e + 2e + 2e = 6e with 2 left over.
The expression given "2+2+2+e+e+" is a mix of numerical constants and a variable, e. The correct simplification of this expression would be to combine like terms.
Like terms are terms that have the same variable raised to the same exponent.
In this case, 2's can be combined to give 6 and e's can be combined to give 2e. Adding 2 with 6 or 2e won't be correct as 6 and 2e are not like terms.
Hence, Zach's response correctly shows combining the like terms, 2e's, and giving the remaining 2 as it is.
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Q2
I NEED HELP ON THIS ONE
The length of arc FE, considering the dilation is given as follows:
4.42.
What is a dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
For the dilation, due to the multiplication of the side lengths by the scale factor, the side lengths are modified, meaning that the original triangle and the dilated triangle are not congruent.
The angle measures, conversely, remain constant, meaning that the original triangle and the dilated triangle are similar.
As the two circles in this problem are similar, we have that the central angle has the same measure.
The scale factor of the dilation is given as follows:
k = 2.5/5 = 0.5.
Then the length of arc EF is given as follows:
EF = 0.5 x 8.84 = 4.42.
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Calculate the double integral.
∫ 4x / 1+xy
R dA, R=[0,4] × [0,1]
The double integral for this problem has the result given as follows:
[tex]\int_{0}^4 \int_0^1 \frac{4x}{1 + xy} dy dx = 20\ln{(5)} - 16[/tex]
How to calculate the double integral?Considering the variable y as the inner variable, the double integral is defined as follows:
[tex]\int_{0}^4 \int_0^1 \frac{4x}{1 + xy} dy dx[/tex]
We start calculating the inner integral, as follows:
[tex]I = \int_0^1 \frac{4x}{1 + xy} dy[/tex]
Using substitution, we have that:
u = 1 + xy
du = x dy.
dy = du/x
Hence:
[tex]I = \int \frac{4x}{u} \times \frac{du}{x}[/tex]
[tex]I = 4\int \frac{1}{u} du[/tex]
I = 4 ln(u).
Returning to x and y, we have that:
I = 4 ln(1 + xy), from y = 0 to y = 1.
Applying the Fundamental Theorem of Calculus for the definite integral, we have that:
I = 4 ln(1 + x) - 4 ln(1 + 0)
I = 4ln(1 + x).
Then the outer integral is given as follows:
[tex]O = \int_{0}^4 4 \ln{(1 + x)} dx[/tex]
Hence:
O = 4[ln(1 + x) + xln(1 + x) - 1 - x], from x = 0 to x = 4.
Applying the Fundamental Theorem again, now for the variable x, we have that:
O = 4[ln(5) + 4ln(5) - 1 - 4] - 4[ln(1) + 0ln(1) - 1 - 0]
O = 4[5ln(5) - 5] + 4
O = 20ln(5) - 20 + 4
O = 20ln(5) - 16.
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what’s the correct answer answer asap for brainlist
Answer:
C. His labor is a chant.
Step-by-step explanation:
Metaphors are figures of speech where a word is applied to a noun or verb which is not literal. A person's labor cannot literally chant, as stated here, so this sentence is a metaphor.
45. A blueprint for a house has a scale of 1:55. A wall in the blueprint is 6 in. What is the length of
the actual wall?
330 ft.
110 ft.
27.5 in.
027.5 ft.
Answer:
the correct answer is 27.5 feet
Step-by-step explanation:
The scale of a blueprint is a ratio that represents the relationship between the size of an object on the blueprint and the size of the actual object. In this case, the scale is 1:55, which means that for every 1 unit of length on the blueprint, the actual object is 55 units long.
If a wall on the blueprint is 6 inches long, then the actual wall is 55 times longer, or 6 inches * 55 = 330 inches. Since there are 12 inches in a foot, the actual wall is 330 inches / 12 inches/foot = 27.5 feet long. Therefore, the correct answer is 27.5 feet
I need help with this!
Answer:
3. 8÷ x² is the correct answer.
Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $ 60 . For one performance, 25 advance tickets and 20 same-day tickets were sold. The total amount paid for the tickets was $ 1325 . What was the price of each kind of ticket?
The price of each advanced tickets sold is; $35
The price of each same day tickets sold is; $25
How to solve a system of linear equations?Let x be the cost of each advanced tickets sold
Let y be the cost of each same day tickets sold
We are told that for one performance, 25 advance tickets and 20 same-day tickets were sold. Thus;
x + y = 60 ------(1)
The total amount paid for the tickets was $1325 and as such, we have;
20x + 25y = 1325 ------(2)
Make x the subject in eq 1 to get;
x = 60 - y
Put (45 - y) for x in eq 2 to get;
20(60 - y) + 25y = 1325
1200 - 20y + 25y = 1325
5y = 125
y = 125/5
y = $25
Thus;
x = 60 - 25
x = $35
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URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100
POINTS!!!!!!!!
The volume comparison of the given data is written below:
the volume of 3 cones = The volume of one Cylinderthe volume of 2 cones = The 1/3 volume of the Cylinderthe volume of 1 sphere = The volume of 2 cylinders.the volume of 1 cone = The 1/6 volume of the cone.What is the volume of an object?Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Given, A cone, cylinder, and Sphere all have the same radius with the height of the cone and cylinder being twice the radius.
The volume of the cone = [tex]\frac{1}{3}[/tex] πr²h
Since, h = 2r
The volume of the cone = [tex]\frac{1}{3}[/tex] πr² * 2r = 2/3 πr³
The volume of the Cylinder = πr²h
Since, h = 2r
The volume of the Cylinder = πr² * 2r = 2πr³
The volume of the sphere = 4 πr³
Thus, the volume of 3 cones = 2πr³
that is also equal to The volume of one Cylinder.
Thus, the volume of 2 cones = 4/3πr³
that is also equal to The 1/3 volume of the Cylinder.
Thus, the volume of 1 sphere = 4πr³
that is also equal to The volume of 2 cylinders.
Thus, the volume of 1 cone = 2/3πr³
that is also equal to The 1/6 volume of the cone.
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