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3 years ago

A carpenter designs two cabinets: one in the shape of an oblique rectangular prism and one in the shape of a right

Mathematics

2 answers:

natulia [17]3 years ago

6 0

Answer:

The cabinets have the same base area.
The cabinets may have the same base dimensions.
The cabinets may have different base dimensions.

Step-by-step explanation:

The volume of a prism is the product of its base area and height. It doesn't matter whether the prism is right or oblique, and the shape of the base is immaterial.

Both the given prisms have the same volume and height, so their base areas must be the same. The dimensions of the base may be the same, but do not have to be the same.

Vedmedyk [2.9K]3 years ago

4 0

Answer:

1)The cabinets have the same base area.

3)The cabinets may have the same base dimensions.

4)The cabinets may have different base dimensions.

Step-by-step explanation:

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Find the area of this trapezoid. Include the correct unit in your answer.

NemiM [27]

Answer:

$\displaystyle A _{ \text{trapezoid}} = 70 {m}^{2}$

Step-by-step explanation:

we are given a trapezoid

we want to figure out the area

remember that,

$\displaystyle A _{ \text{trapezoid}} = \frac{a + b}{2} h$

where a and b represent the parallel lines and h represents the height

we get from the pic that a and b are 5 and 15 respectively and h is 7

so substitute:

$\displaystyle A _{ \text{trapezoid}} = \frac{5 + 15}{2} \times 7$

simplify addition:

$\displaystyle A _{ \text{trapezoid}} = \frac{20}{2} \times 7$

simplify division:

$\displaystyle A _{ \text{trapezoid}} = 10\times 7$

simplify multiplication:

$\displaystyle A _{ \text{trapezoid}} = 70$

since we multiply two same units we of course have to use square unit

hence,

$\displaystyle A _{ \text{trapezoid}} = 70 {m}^{2}$

4 0

2 years ago

2x + 3y = 2 y = {x+3

FrozenT [24]

The solution of the system is (-2,2)

Step-by-step explanation:

a solution is a system of equations intersecting.

on the graph you can see that the lines intersect at (-2,2)

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2 years ago

The Cooking Club made some pies to sell during lunch to raise money for an end-of-year banquet. The cafeteria contributed three

Alex73 [517]

7x13=91 meaning 13 pies were made in total. Since the cafeteria contributed 3 we can subtract 3 from 13. Ultimately meaning that the club contributed 10 pies.

The answer is 10.

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3 years ago

Question

Aleonysh [2.5K]

Answer:

$\large \boxed{-40, \ 4, \ -4}$