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Anon25 [30]
2 years ago
12

Working​ together, it takes two roofers 10 hours to put a new roof on a portable classroom. if the first roofer can do the job b

y himself in 12 ​hours, how many hours will it take the second roofer to do the job by​ himself?
Mathematics
1 answer:
Vadim26 [7]2 years ago
7 0
Well it sounds like you would have to multiply by 2, which is the amount of roofers, then subtract 12.

10 x 2 = 20

20 - 12 = 8

Hope this helped.
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In the figure, angle ZYX is measured in degrees. The area of the shaded sector can be determined using the formula StartFraction
tensa zangetsu [6.8K]

<u>The given options are:</u>

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

(B)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector.

(C)the central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.

(D)the central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.

Answer:

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

Step-by-step explanation:

The area of the shaded sector can be determined using the formula:

\frac{m\angle ZYX}{360^\circ} \cdot \pi r^2

m\angle XYZ=$Central angle of XYZ\\\pi r^2$=Area of a Circle

360^\circ =$Total Angle

Therefore, the formula is:

\dfrac{m\angle ZYX}{360^\circ} \cdot \pi r^2\\\text{Area of XYZ}=\dfrac{\text{Cental Angle of XYZ}}{\text{Total Angle}} X \text{Area of the Circle}

Therefore, the formula is best explained by Option A.

7 0
2 years ago
The polynomial equation x cubed minus 4 x squared + 2 x + 10 = x squared minus 5 x minus 3 has complex roots 3 plus-or-minus 2 i
Tpy6a [65]

Answer: Answer is B, -1

Step-by-step explanation:

This is the correct answer according to Edge

This should be a five star btw sorry

7 0
2 years ago
Read 2 more answers
Hillel is juggling flaming torches to raise money for charity. His initial appearance raises \$500$500dollar sign, 500, and he r
Svetlanka [38]

Answer:

$R = $500 + $15(t)

Step-by-step explanation:

in this question, we are told to give a mathematical expression that would model the amount of money that is made by Hillel.

from the question, we were made to understand that the amount of money he makes is a front of his time t. that is noted.

and also, he has a base cost of $500.

now, let’s write an equation;

R = $500 + 15(t)

where t represents the length of the performance as suggested by women

3 0
2 years ago
The pizza has an area of 78.5 in². What is the minimum width of a placemat that can be placed underneath it so that the pizza do
xz_007 [3.2K]

Answer:

The minimum width of the placemat is 10 inches.

Step-by-step explanation:

Let suppose that placemat has a square form, whose width must be at least equal to the diameter of the pizza, so that pizza does not touch the table. Hence, the following relationship is obtained:

w = D

Where:

w - Width of the placemat, measured in inches.

D - Diameter of pizza, measured in inches.

The area of the pizza, measured in square inches, is determined by this formula:

A = \frac{\pi}{4} \cdot D^{2}

The diameter is cleared afterwards:

D = \sqrt{\frac{4\cdot A}{\pi} }

If A = 78.5\,in^{2} and \pi = 3.14, then:

D = \sqrt{\frac{4\cdot (78.5\,in^{2})}{3.14} }

D = 10\,in

The minimum width of the placemat is 10 inches.

4 0
2 years ago
Read 2 more answers
Find dy/dx implicitly and find the largest interval of the form −a &lt; y &lt; a or 0 &lt; y &lt; a such that y is a differentia
mylen [45]

Answer:

dy/dx = -1/√(1 - x²)

For 0 < y < π

Step-by-step explanation:

Given the function cos y = x

-siny dy = dx

-siny dy/dx = 1

dy/dx = -1/siny (equation 1)

But cos²y + sin²y = 1

=> sin²y = 1 - cos²y

=> siny = √(1 - cos²y) (equation 2)

Again, we know that

cosy = x

=> cos²y = x² (equation 3)

Using (equation 3) in (equation 2), we have

siny = √(1 - x²) (equation 4)

Finally, using (equation 4) in (equation 1), we have

dy/dx = -1/√(1 - x²)

The largest interval is when

√(1 - x²) = 0

=> 1 - x² = 0

=> x² = 1

=> x = ±1

So, the interval is

-1 < x < 1

arccos(1) < y < arxcos(-1)

= 0 < y < π

6 0
2 years ago
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