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3 years ago

Use the net to find the surface area of the prism

Mathematics

1 answer:

swat323 years ago

4 0

If we were to fold this into a prism, the rectangle on the left would be the base. The short sides of the triangles would fold to meet up with the 5 inch sides of the base. Then the rectangle on the right would fold down and fit between the two triangles, meeting up with the base. Visualizing the shape in 3 dimensions allows us to figure out the lengths of some sides. For example, the short sides of the triangles both equal 5 inches. Also, the long sides of the triangles equal 13 inches and the long side of the base is 8 inches.

The surface area is the area of all the surfaces.

8*5=40
8*12=96
2*(0.5*5*12)=60
13*8=104

Add these up..

40+96+60+104=300 in^2

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givi [52]

Answer:

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Step-by-step explanation:

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2 years ago

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Nat2105 [25]

Answer: $\bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}$

Step-by-step explanation:

Pythagorean Theorem is: a² + b² = c² , where "c" is the hypotenuse

$9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}$

Note: 4² + (8√2)² = hypotenuse² → hypotenuse = 12

$10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}$

Note: 12² + opposite² = 20² → opposite = 16

$11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}$

Note: adjacent² + 5² = 6² → adjacent = √11

$12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}$

Note: adjacent² + 7² = (13√2)² → adjacent = 17

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2 years ago

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krek1111 [17]

The answer is this:
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2 years ago

By what percent must we decrease the number A to obtain the number 4A/5?

Schach [20]

$\bf \cfrac{4A}{5}\implies \cfrac{4}{5}\cdot A\impliedby \textit{A is being reduced to four fifths} \\\\\\ \stackrel{\textit{let's convert four fifths to percentage}}{\cfrac{4}{5}\cdot 100\implies \cfrac{400}{5}\implies 80}$

so 4/5 of A is really 80% of A then.

since a whole A is 100% of A, 100% - 80% = 20%, A is being reduced by 20%, namely 1/5.

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2 years ago

Solve the proportion x+1/3 = x/2 5 1 2 10

s344n2d4d5 [400]

Value of x is 2.

Step-by-step explanation:

Step 1: Given that x+1/3 = x/2

Cross-multiply to find the value of x.

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2 years ago