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3 years ago

Analyze the diagram below and complete the instructions that follow.

Mathematics

1 answer:

vlada-n [284]3 years ago

5 0

Answer:

4/5

Step-by-step explanation:

The cosine of the angle is found as the ratio of adjacent to the hypotenuse.

To find it first find the sin 45 = √8/ x. This is equal to 4.

sin 45 = √8/ x

x = √8/ sin 45

x = 4

This means the triangle FHE has side lengths 3, 4, and 5.

The cosine of FHE will be FH / HE. This is 4/5.

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KonstantinChe [14]

Answer:

all real values of x where x < -1

Step-by-step explanation:

See attached graph.

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2 years ago

What is the surface area of this right triangular prism ? round your answer to the nearest tenth.

velikii [3]

Answer:

78 m^2 Unless I got some of the measurements wrong, kinda hard to see them.

Step-by-step explanation:

The surface area will be the sum of the area of each face. so lets see, there is the base (in this orientation) which is a 8x3 rectangle it looks like.

then two trianglular sides with both having a base of 8 and height of 3

then two "roof" pieceswhich are rectangles again, one side of 3 and the other 5.

Now we add each face up.

rectangular base = 3x8 = 24

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Now add it all up

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3 years ago

Read 2 more answers

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JulijaS [17]

Answer:

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Step-by-step explanation:

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3 years ago

Simplify each expression using the laws of exponents. No negative exponents should be in your final answer. (On the image attach

Cloud [144]

Answer:

Answer is given below with explanations.

Step-by-step explanation:

$by \: simplifying \: the \: given \: expression \: using \: \\ law \: of \: exponents \: we \: get \\ \frac{15 {x}^{15} {y}^{ - 3} {z}^{4} }{18 {x}^{18} { {y}^{4} {z}^{ - 4} }^{} } \\ = \frac{5 \: {x}^{ - 3} {y}^{ - 7} {z}^{8} }{6} \\ we \: may \: also \: write \: as \\ = \frac{5 {z}^{8} }{6 {x}^{3} {y}^{7} }$