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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

3 years ago

In the calm waters of an inlet, Manon's boat moves with a velocity (speed and direction) vector \vec{b_1} = (3,4) b 1 =(3,4)

andrew-mc [135]

Answer with Step-by-step explanation:

We are given that

$b_1=(3,4)$

$b_2=(1,1)$

We have to find the speed of river's current and the direction of current flowing.

$b=b_2-b_1=(1,1)-(3,4)=(-2,-3)$

Speed of river's current= $\mid b\mid$

Speed of river's current= $\sqrt{(-2)^2+(-3)^2}$

Speed of river's current= $\sqrt{13} m/s$

By using the formula

$\mid r\mid =\sqrt{x^2+y^2}$

Direction of current flowing, $\theta=tan^{-1}(\frac{y}{x})$

$\theta=tan^{-1}(\frac{-3}{-2})=56.3^{\circ}$

The angle lies in third quadrant therefore

$\theta=180+56.3=236.3^{\circ}$

3 0

3 years ago

solve the problems below step by step I'll give 30 points please explain find the area and the perimeter for the problems below

guajiro [1.7K]

Answer:

Step-by-step explanation:

14. You would add 41 + 41 + 61 + 61 because you just need to add together all the sides.

15. you need to measure the all the sides for 15 and do the same thing that you did on 14

3 0

3 years ago

Read 2 more answers

|x-4|=12 may someone answer this question

IRINA_888 [86]

Answer:

x= 16 or -8

Step-by-step explanation:

absoultes

3 0

3 years ago

Read 2 more answers

A driveway has an area of 96 square feet. The width of the driveway is 8 feet.

Mrrafil [7]

Answer:

12 feet

Step-by-step explanation:

A driveway is rectangular in shape.

Therefore we can calculate the area using the formula;

$A = L \times W$

From the question;

The area,A=96 feet square

The width, W=8 feet

We substitute this values into the formula to find the length, L.

This implies that

$96 =L \times 8$

Dividing through by 8.

$\implies \frac{96}{8}= \frac{L \times 8}{8}$

$\implies L = 12$

Hence,the length of the driveway is 12 feet.

4 0

3 years ago