The legs of a right triangle are 6 units and 7 units. What is the length of the hypotenuse?

2 answers:

5 0

This requires the pythagorean theorem :
a^2 + b^2 = c^2...where a and b are the legs and c is the hypotenuse..and by the way, this can only be used on right triangles

a^2 + b^2 = c^2
6^2 + 7^2 = c^2
36 + 49 = c^2
85 = c^2...take the sqrt of both sides, eliminating the ^2
sqrt 85 = c
9.22 = c....so the hypotenuse is approximately 9.22 units (thats rounded)

Masteriza [31]3 years ago

4 0

The length of the hypotenuse is about 9.22 units.

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Look at the graph of connected points in the plane which make up a function,

mihalych1998 [28]

Answer:

-2 ≤ f(x) ≤ 4

Step-by-step explanation:

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3 0

3 years ago

The surface area of the cone is 43.75pie cm^2. What is the slant height of the cone and the diameter is 5

Masteriza [31]

If the diameter of the cone is 5, then the radius of it will be half that, or 2.5, thus

$\bf \textit{total surface area of a cone}\\\\
SA=\pi r\stackrel{slant~height}{\sqrt{r^2+h^2}}+\pi r^2~~
\begin{cases}
r=radius\\
h=height\\
------\\
SA=43.75\pi \\
r=2.5
\end{cases}
\\\\\\
43.75\pi =\pi (2.5)\sqrt{r^2+h^2}+\pi (2.5)^2
\\\\\\
43.75\pi -\pi (2.5)^2=2.5\pi \sqrt{r^2+h^2}
\\\\\\
43.75\pi -6.25\pi =2.5\pi \sqrt{r^2+h^2}\implies 37.5\pi =2.5\pi \sqrt{r^2+h^2}
\\\\\\
\cfrac{37.5\pi }{2.5\pi }=\sqrt{r^2+h^2}\implies 15=\sqrt{r^2+h^2}$

3 0

3 years ago

How do you solve to get y?

dmitriy555 [2]

Answer:

y = 64

Step-by-step explanation:

Using the rule of logarithms

• $log_{b}$ x = n ⇔ x = $b^{n}$