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mario62 [17]
4 years ago
6

Can you please help me with this

Mathematics
1 answer:
nadya68 [22]4 years ago
6 0

Answer:

-The total area of a Rectangular Prism:

A = 366 in^{2}

Step-by-step explanation:

-To find the total area of a rectangular prism, you need this formula:

A = 2(l \cdot w +  l \cdot h + w \cdot h)

l = Length

w = Width

h = Height

-Apply the length, width and height for the formula:

A = 2(11 \cdot 8 +  11 \cdot 5 + 8 \cdot 5)

l = 11 in

w = 8 in

h = 5 in

-Then, solve for the area:

A = 2(11 \cdot 8 +  11 \cdot 5 + 8 \cdot 5)

A = 2(88 + 55 + 40)

A = 2(143 + 40)

A = 2 \times 183

A = 366

So, the total area would be 366 in ^{2}.

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In the figure, mZRPZ = 95 and TU ||RQ|| VW. Find the measure of angle YSV.
madreJ [45]

Answer:

m\angle YSV=85^o

Step-by-step explanation:

The complete question in the attached figure  

step 1

Find the measure of angle QPZ

we kno that

m\angle RPZ+m\angle QPZ=180^o ---> by supplementary angles (form a linear pair)

we have

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substitute

95^o+m\angle QPZ=180^o

m\angle QPZ=180^o-95^o

m\angle QPZ=85^o

step 2

Find the measure of angle YSV

we know that

When two lines are crossed by another line, <em><u>Alternate Exterior Angles</u></em> are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal. If the two lines are parallel then  the alternate exterior angles are congruent.

In this problem

The transversal is the line XY

The two parallel  lines are RQ and VW

therefore

m\angle YSV=m\angle QPZ ---> by alternate exterior angle

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m\angle QPZ=85^o

therefore

m\angle YSV=85^o

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4 years ago
How many 1/4 are in 36?
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