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2 years ago

in the computer lab, there are 1 PC every 5 Mac computers. if the computer lab has a total of 24 computers, how many are Mac?

Mathematics

1 answer:

nalin [4]2 years ago

8 0

Answer:

20 of the computers are Mac

Step-by-step explanation:

if 1 pc = 5 Mac

4 pc = 20 mac

add 4 + 20 you get 24 which is the total number of computers

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What is 5 radians converted to degrees? If necessary, round your answer to the nearest degree.

Alinara [238K]

Answer:

286 degrees

Step-by-step explanation:

Your formula would be 5 x 180/π

7 0

3 years ago

The legs of a isosceles right triangle both measure 10 inches find the length of the hypotenuse

Artist 52 [7]

Answer:

Hypotenuse = 14.1421 inches (rounded off to four decimal values)

Step-by-step explanation:

The legs of an isosceles triangle both measure 10 inches

Since the triangle is a right triangle,

We apply the Pythagorean Theorem to find the height of the hypotenuse

a² + b² = c²

a = 10 inches, b = 10 inches and (c) is the hypotenuse whose value we don't know.

So; 10² + 10² = c²

c² = 100 + 100

c² = 200

c = $\sqrt{200}$ = 14.1421356237 inches

The hypotenuse is 14.1421 inches (answer rounded off to four decimal values)

7 0

3 years ago

Sz – [32 – (10z + 2)]

Dmitry_Shevchenko [17]

Sz－[32－(10z＋2)]
＝Sz－(32－10z－2)
＝Sz－(30－10z)
＝Sz－30＋10z

Hope my answer helped u :)

5 0

3 years ago

Solve for 'p'

Darina [25.2K]

$\left(\dfrac{9a^{-4}}{25}\right)^p=\dfrac3{5a^2}$
$\left(\dfrac9{25a^4}\right)^p=\dfrac3{5a^2}$

One way to find $p$ is to notice that the part on the left hand side within the parentheses can be written as a square:

$\dfrac9{25a^4}=\dfrac{3^2}{5^2(a^2)^2}=\left(\dfrac3{5a^2}\right)^2$

So you could write

$\left(\left(\dfrac3{5a^2}\right)^2\right)^p=\left(\dfrac3{5a^2}\right)^{2p}=\dfrac3{5a^2}$

Since these two expressions are equal, and the bases are the same, you know the exponents must be equal, with the exponent on the right hand side being 1. So $2p=1$ , or $p=\dfrac12$ .

6 0

2 years ago

A circle with a circumference of 51 inches to find the area

Kaylis [27]

$\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=51 \end{cases}\implies 51=2\pi r\implies \boxed{\cfrac{51}{2\pi }=r} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \implies A=\pi \left( \cfrac{51}{2\pi } \right)^2\implies A=\cfrac{51^2}{2^2\pi }\implies A\approx 206.98$

4 0

2 years ago