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3 years ago

What’s the surface area of the prism in square inches? A.300 B.360 C.390 D.460 helpppppp

Mathematics

2 answers:

butalik [34]3 years ago

5 0

Answer:

2) 360 square inches

Step-by-step explanation:

First of all we have to verify that the base triangle is a right triangle

For this we use Pythagoras

h² = l1² + l2²

13² = 12² + 5²

169 = 144 + 25

169 = 169

Equality is fulfilled by what is a right triangle

Now we need to calculate the area of the triangle

a = (12 in * 5 in) / 2

a = 60in² / 2

a = 30in²

Now we have to calculate the 3 areas of the rectangles

a1 = 10in * 13 in

a1 = 130in²

a2 = 10 in * 12 in

a2 = 120in²

a3 = 10 in * 5 in

a3 = 50in²

Now we must add all the calculated areas and the triangle 2 times

a1 + a2 + a3 + 2a =

130in² + 120in² + 50in² + 2 * 30in²

360in²

The surface area of the prism is 360in²

iogann1982 [59]3 years ago

3 0

Answer:

360 is correct

Step-by-step explanation:

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Answer:

$4\dfrac{3}{8}$ cups of flour

Step-by-step explanation:

A muffin recipe, which yields 12 muffins, calls for 2/3 cup of milk for every 1 3/4 cups of flour.

Then this recipe, which yields one muffin, calls for

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Thus,

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3 years ago

If you have 21 cats and give 2 away how much will you have

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Answer:

Step-by-step explanation:

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3 years ago

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Complete the proof given below.

allochka39001 [22]

Given that the opposite sides of a parallelogram are congruent, a diagonal

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The correct options to complete the proof are;

Opposite sides of a parallelogram; ABCD is a parallelogram

Reflexive property of congruency

SSS

Reasons:

The completed two column proof is presented as follows;

Statement ${}$ Reason

1. ABCD is a parallelogram ${}$ 1. Given

2. $\overline{AB}$ ≅ $\overline{DC}$ and $\overline{BC}$ ≅ $\overline{DA}$ ${}$ 2. Opposite sides of a parallelogram

3. $\overline{AC}$ ≅ $\overline{CA}$ ${}$ 3. Reflexive property of congruency

4. ΔABC ≅ ΔCDA ${}$ 4. SSS

The correct options are therefore;

Opposite sides of a parallelogram; ABCD is a parallelogram

Reflexive property of congruency

SSS;

Reason 2. Opposite sides of a parallelogram, which is based on the

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Reason 4. SSS is an acronym for Side-Side-Side, which is a congruency

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Learn more about parallelograms here:

brainly.com/question/4218263

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3 years ago

The width of a rectangle is 7 inches less than its length. The area of the rectangle is 120 square inches. Solve for the dimensi

pav-90 [236]

Answer:

Length is 15 inches

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Step-by-step explanation:

A = L*W

the Width = L-7

120 = L (L-7)

120 = L^2-7L

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0 = L^2 - 7L - 120

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