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2 years ago

The area of a piece of construction paper is 204 inches. The paper is 17 inches long. What is the width of the paper?

Mathematics

1 answer:

Brut [27]2 years ago

4 0

The width of the construction paper is 12 inches.

The formula for area is length(l)*width(w)=area in units squared(a^2).

To find the width, we divide both sides by length, this gives us the following:

17*w=204in^2 w=204in^2/17

To find the answer, you just perform the operation.

204/17=12

The width is 12 inches.

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The volume of a pyramid that fits exactly inside a cube is 10 cubic feet. What is the volume of the cube?

Tatiana [17]

Answer:

the cubic feet will be 1000

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2 years ago

Calculate the area of the shaded sector in the circle

scZoUnD [109]

Answer:

area ≈ 6.3 units²

Step-by-step explanation:

Calculate the area (A ) of the sector as

A = area of circle × fraction of circle

= πr² × $\frac{45}{360}$

= π × 4² × $\frac{1}{8}$

= 16π × $\frac{1}{8}$ ← cancel 8 and 16 by 8, leaving

A = 2π ≈ 6.3 units² ( to 1 dec. place )

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2 years ago

Let f of x equals the integral from x to 1 of the square root of the quantity of 1 plus t squared . use your calculator to find

ollegr [7]

Analytically, it will be

-√(1+1²) = -√2

The calculator shows it to be -1.41421356237

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= -√2 to 12 significant digits.

8 0

3 years ago

Solve the system below using substitution write your final answer as a coordinate point

Mademuasel [1]

(3, -2)

Step-by-step explanation:

y = -2x + 4

-x + 3y = -9

-x + 3 (-2x + 4) = -9

-x + -6x + 12 = -9

-7x = - 9 – 12

-7x = - 21

X = 3

We substitute x with 3 to evaluate y;

-3 + 3y = -9

3y = -6

y = -2

Elimination Method;

y = -2x + 4

-x + 3y = -9

We arrange the equations for substitution;

2x + y = 4

-x + 3y = -9

We multiply the first equation with 3 so we can substract one variable to zero;

3 (2x + y = 4)

= 6x + 3y = 12

Then we subtract the two;

6x + 3y = 12

-x + 3y = -9

7x = 21

x = 3

We evaluate y by substitution x with 3 in one of the equation;

-x + 3y = -9

-3 + 3y = -9

3y = -6

y = -2

The final answer expressed as a coordinate point is;

(3, -2)

7 0

3 years ago

The diameter of a basketball is 245 cm. What is the circumference?

maks197457 [2]

Answer: 769.3

Step-by-step explanation:

$C=2\pi r\\$

C=2*3.14*122.5

245/2=122.5

C=769.3

5 0

3 years ago