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2 years ago

Find the volume of a box 24 in. x 20 in x 23 in.

1 answer:

8 0

<span>The definition for discovering the volume of a box is when the person takes the length, the width, and the height of the box. And because we have those values here, there is no math that is necessary to do other than multiplying the numbers together and creating a new unit of inches cubed. The answer is 11040 inches cubed.</span>

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You have a map of an area in France. The scale used is 2cm:8km. You want to ride to a national park. The park is shown on the ma

antiseptic1488 [7]

Every cm on the map = 8/2 = 4 km

so 16 cm is equivalent to 4*16 = 64 km Answer

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2 years ago

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Anarel [89]

The ratio of volumes is equal to the ratio of the cubes of the scale factor. Thus,
Volume ratio:
6³ : 7³
216 : 343

7 0

3 years ago

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Evaluate the triple integral.

Irina-Kira [14]

The definition of the set E gives you a natural choice for the limits in the integral:

$\displaystyle \iiint_E y \, dV = \int_0^6 \int_0^x \int_{x-y}^{x+y} y \, dz \, dy \, dx$

Computing the integral, we get

$\displaystyle \iiint_E y \, dV = \int_0^6 \int_0^x y ((x+y)-(x-y)) \, dy \, dx = 2 \int_0^6 \int_0^x y^2 \, dy \, dx$

$\displaystyle \iiint_E y \, dV = 2 \int_0^6 \frac13 (x^3 - 0^3) \, dx = \frac23 \int_0^6 x^3 \, dx$

$\displaystyle \iiint_E y \, dV = \frac23 \cdot \frac14 (6^4 - 0^4) = \boxed{216}$

6 0

1 year ago

Please help

Svetllana [295]

The midpoint of the line segment joining points S (8,3) and T (2,-1) is (5, 1)

<h3>How to determine the midpoint of the line segment joining the points?</h3>

The points are given as:

S(8,3) and T(2,-1)

The midpoint of the line segment joining points S(8,3) and T(2,-1) is calculated as:

Midpoint = 0.5 * (x1 + x2, y1 + y2)

So, we have

Midpoint = 0.5 * (8 + 2, 3 - 1)

Evaluate the sum

Midpoint = 0.5 * (10, 2)

Evaluate the product

Midpoint = (5, 1)

Hence, the midpoint of the line segment joining points S (8,3) and T (2,-1) is (5, 1)

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8 0

1 year ago

TV and RI intersect at E. If the measure of IVE=50, the measure of VIE=70 and the measure of RET=2X-10 , find the value of x

Helen [10]

The value of x from the given conditions is 35.

The line TV and RI intersect at E.

The measure of IVE=50° and the measure of VIE=70°.

Since, the points V, I and E makes a triangle.

Therefore, the total angle inside the triangle is 180°.

Hence,

∠IVE + ∠VIE + ∠VEI = 180°

50°+70°+ ∠VEI = 180°

∠VEI = 180°-50°-70°

∠VEI = 60°

Also the angles ∠VEI and the angle ∠RET are congruent.

Therefore, ∠VEI = ∠RET

60° = 2x-10

2x = 70

x = 70/2

x = 35.

The lines TV and RI intersect at E. If the measure of IVE=50, the measure of VIE=70 and the measure of RET=2X-10. Then the value of x = 35.

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5 0

1 year ago

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