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3 years ago

What is the length of the hypotenuse of the triangle when x=10?

Mathematics

2 answers:

Schach [20]3 years ago

5 0

Answer:

84 (nearest whole number)

Step-by-step explanation:

If x = 10,

Longest leg = (7 x 10) + 4 = 74

Shortest leg = 4 x 10 = 40

Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse of a right triangle):

⇒ 74² + 40² = c²

⇒ 7076 = c²

⇒ c = √7076 = 84.11896...

⇒ hypotenuse = 84 (nearest whole number)

nikitadnepr [17]3 years ago

4 0

Answer:

Step-by-step explanation:

$\sqrt{ {(40)}^{2} + {74}^{2} } = 84.1$

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erastova [34]

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4 years ago

Write the equation of the line that passes thriugh the points (3,-2) and (5,-9)?

Tanya [424]

Answer:

y = -7/2x + 17/2

Step-by-step explanation:

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2 years ago

Which of the following statements are true?

Eduardwww [97]

Answer:

B, C

Step-by-step explanation:

Consider all options:

A. The graph of the function $f(x)=\dfrac{1}{2}\sqrt[3]{x}$ is vertically shrunk by a factor $\frac{1}{2}$ the graph of the function $f(x)=\sqrt[3]{x},$ so the domain and the range of both functions are the same. This option is false.

B. The graph of the function $f(x)=\dfrac{1}{2}\sqrt[3]{x}$ is vertically shrunk by a factor $\frac{1}{2}$ the graph of the function $f(x)=\sqrt[3]{x},$ so the domain and the range of both functions are the same. This option is true.

C. The graph of the function $f(x)=\dfrac{1}{2}\sqrt[3]{(x-2)}$ is translated 2 units to the right and vertically shrunk by a factor $\frac{1}{2}$ the graph of the function $f(x)=\sqrt[3]{x},$ so their graphs are similar except the first graph is shifted right and shrunk vertically by a factor of $\frac{1}{2}.$ . This option is true.

D. The function $f(x)=\dfrac{1}{2}\sqrt{x}$ has the domain and the range all non-negative real values. The function $f(x)=\sqrt[3]{x}$ has the domain and the range all real values. So this option is false.