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iragen [17]
3 years ago
13

When Josiah opens and lays a cereal box out flat, he sees that the top and the bottom of the box both measure 2 inches by 8 inch

es, the sides of the box both measure 2 inches by 11 inches, and the front and back of the box both measure 8 inches by 11 inches. What is the surface area of Josiah's cereal box?
Mathematics
1 answer:
Dominik [7]3 years ago
3 0

Answer:

<u>252 square inches is the surface area of Josiah's cereal box.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Height of the box = 11 inches

Length of the box = 8 inches

Width of the box = 2 inches

2. What is the surface area of Josiah's cereal box?

Let's recall the surface area of a rectangular prism:

Surface area = 2 (width * length + height * width + length * height)

Surface area = 2 (2 * 8 + 11 * 2 + 8 * 11)

Surface area = 2 (16 + 22 + 88)

Surface area = 2 * 126

<u>Surface area = 252 inches²</u>

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If the two triangles shown below are congruent, select the corresponding 1 point
nadya68 [22]

Answer:

SSS

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The two triangles both share a side (the middle line), and it is shown that the other lines are congruent to each other. So all 3 sides are congruent, meaning SSS is the postulate that proves this.

4 0
2 years ago
Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S
Harman [31]
ANSWER

y =  \frac{3}{2} x + 8



EXPLANATION

The line given to us has equation,

2x + 3y = 9

We need to write this equation in the slope intercept form to obtain,


3y =  - 2x + 9



\Rightarrow \: y =  -  \frac{2}{3}x + 3


The slope of this line is

m_1 =  -  \frac{2}{3}
Let the slope of the perpendicular line be

m_2

Then
m_1 \times m_2 =  - 1


-  \frac{2}{3} m_2=  - 1

This implies that,

m_2 =  - 1 \times  -  \frac{3}{2}


m_2 =  \frac{3}{2}



Let the equation of the perpendicular line be,

y = mx + b

We substitute the slope to get,


y =  \frac{3}{2} x + b

Since this line passes through
(-2,5)
it must satisfy its equation.


This means that,

5=  \frac{3}{2} ( - 2)+ b


5 =  - 3 + b



5 + 3 = b


b = 8

Wherefore the slope-intercept form is

y =  \frac{3}{2} x + 8
6 0
3 years ago
You sell soup mixes for a fundraiser. For each soup mix you sell, the company that makes the soup receives x dollars l, and you
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