If 40% is 972 how much is 100%?

Gabriel models the volume of a popcorn box as a right rectangular prism and the box can hold 74 cubic inches of popcorn when it

vodka [1.7K]

If the volume of the popcorn box is 74 cubic inches. Then the length of the popcorn box in inches will be 0.3 inches.

<h3>What is a rectangular prism?</h3>

A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.

Gabriel models the volume of a popcorn box as a right rectangular prism and the box can hold 74 cubic inches of popcorn when it is full.

Its width is 3 and 1/2 in and its height is 77 in.

Then the width of the prism will be

$\rm W = 3 + \dfrac{1}{2}\\\\W = \dfrac{7}{2}$

Then the length of the popcorn box in inches will be

$\rm V \ = LWH\\\\\\74= L \times \dfrac{7}{2} \times 77\\\\\\L\ = 0.2745 \approx 0.3$

More about the rectangular prism link is given below.

brainly.com/question/12649592

#SPJ1

4 0

2 years ago

ABCD is a Rhombus with side length 10 cm. Angle ADC = 40. DAC is a sector of a circle with center D. BAC is a sector of a circle

Natasha_Volkova [10]

The value of the <em>shaded</em> area is approximately 34.907 square centimeters.

<h3>How to calculate the area between a rhombus and a circle</h3>

According to the description in statement we prepared a representation of the figure in the image attached below. The <em>shaded</em> area is equal to the area of the <em>circle</em> sector ( $A$ ), in square centimeters:

$A = \frac{\theta\cdot \pi \cdot R^{2}}{360}$ (1)

Where:

$R$ - Length of the radius, in centimeters.
$\theta$ - Angle of circle arc, in degrees.

If we know that $\theta = 40^{\circ}$ and $R = 10\,cm$ , then the area of the circle is:

$A = \frac{(40)\cdot \pi\cdot (10\,cm)^{2}}{360}$

$A\approx 34.907\,cm^{2}$

The value of the <em>shaded</em> area is approximately 34.907 square centimeters. $\blacksquare$

To learn more on areas, we kindly invite to check this verified question: brainly.com/question/16151549

7 0

2 years ago

What collateral secures a mortgage?

malfutka [58]

Mortgage collateral is the asset that secures the mortgage loan. Traditionally, the mortgage collateral is the asset the loan finances. If you fail to make payments to your lender on the loan, your lender has the option to claim ownership of the property due to its security interest.

5 0

3 years ago

Dorian is spreading mulch on his triangular flowerbed. If the base is 8 feet and the height is 6 feet. How many square feet of m

katovenus [111]

Answer:

24 square feet

Step-by-step explanation:

Given:

Dorian is spreading mulch on his triangular flowerbed.

The base is 8 feet.

The height is 6 feet.

Question asked:

How many square feet of mulch will he need for the flowerbed?

Solution:

The base of triangular flowerbed = 8 feet.

The height of triangular flowerbed = 6 feet.

now, to find how many square feet of mulch he will need for the flowerbed, we will find area of the triangular flowerbed:-

As we know:

$Area\ of\ triangle=\frac{1}{2} \times base\times height$

$=\frac{1}{2} \times8\times6\\\\ =\frac{48}{2} \\ \\ =24\ square\ feet$

Thus, 24 square feet of mulch he will need for the flowerbed.

8 0

3 years ago

Write an inequality from (–5) to (–1) inclusive

skad [1K]

Answer:

$-5\leq x\leq -1$

Step-by-step explanation:

This is a compound inequality that basically states that the X value is greater than or equal to -5, but less than or equal to -1. It is inclusive, because it includes both numbers and therefore should have an equal to sign ( $\leq or \geq$ ) instead of just less than or greater than ( < or >).

8 0

3 years ago