If an angle measures three times the measure of its supplementary angle. find the measure of both angles

kelly subscribes to a service called mysongs for downloading music she pays a $7 fee each month to download an unlimited numbers

Nastasia [14]

subtract the fee from the total to get the amount actually spent on songs

23.80-7 = 16.80

divide that amount by price per song to get number of songs downloaded

16.80 /0.20 = 84 songs

8 0

3 years ago

2. The following formula relates three quantities: Force (F), mass (m), and acceleration (a).

castortr0y [4]

Let

F--------> represent the force

m--------> represent the mass

a-------> represent the acceleration

we know that

The formula that relates three quantities: Force (F), mass (m), and acceleration (a) is equal to

$F=ma$

Part a) Solve this equation for a

$F=ma$

Divide both sides by the mass

$a=\frac{F}{m}$

therefore

the answer part a) is equal to

$a=\frac{F}{m}$

Part b) Let the force be 25 units and the mass be m = 10 units. What is the acceleration, a?

we know that

the formula of acceleration is equal to

$a=\frac{F}{m}$

in this problem

we have

$F=25\\m=10$

Substitute the values n the formula

$a=\frac{25}{10}$

$a=2.5$

therefore

the answer part b( is equal to

$a=2.5$

Part c) Let the force be F = 25 units and the acceleration be a = 5 units. What is the mass, m?

we know that

$F=ma$

Solve for m

Divide both sides by the acceleration

$m=\frac{F}{a}$

in this problem

we have

$F=25\\a=5$

Substitute the values n the formula

$m=\frac{25}{5}$

$m=5$

therefore

the answer Part c) is

$m=5$

5 0

3 years ago

Read 2 more answers

Find the average value of f over region

SVETLANKA909090 [29]

$D$ is a right triangle with base length 1 and height 8, so the area of $D$ is $\dfrac12(1)(8)=4$ .

The average value of $f(x,y)$ over $D$ is given by the ratio

$\dfrac{\displaystyle\iint_Df(x,y)\,\mathrm dA}{\displaystyle\iint_D\mathrm dA}$

The denominator is just the area of $D$ , which we already know. The average value is then simplified to

$\displaystyle\frac74\iint_Dxy\,\mathrm dA$

In the $x,y$ -plane, we can describe the region $D$ as all points $(x,y)$ that lie between the lines $y=0$ and $y=8x$ (the lines which coincide with the triangle's base and hypotenuse, respectively), taking $0\le x\le1$ . So, the integral is given by, and evaluates to,

$\displaystyle\frac74\int_{x=0}^{x=1}\int_{y=0}^{y=8x}xy\,\mathrm dy\,\mathrm dx=\frac78\int_{x=0}^{x=1}xy^2\bigg|_{y=0}^{y=8x}\,\mathrm dx$
$=\displaystyle56\int_{x=0}^{x=1}x^3\,\mathrm dx$
$=14x^4\bigg|_{x=0}^{x=1}$
$=14$

3 0

3 years ago

Plz hurry, brainliest and lots of points plz explain answer and only answer if you are actually gonna do it.

Citrus2011 [14]

Answer and Step-by-step explanation:

1st box:

0, -3

2nd box

-2, -9/4

3rd box:

2, -3/2

4th box:

4, 0

Btw 0, -2, 2, 4 are in the x-coordinate column if you didn’t know, and 1, -9/4, -3/2 are in the y-coordinate column

Basically to solve if you plug in 0 into x, so basically it’s 3(0)-4y=12, which you simplify gives you 0-4y=12, subtract 0 from 12 which is 12 and then do 12 divided by -4 and then you get y = -3 and that’s how you get the box answer

Idk how to the rest srry lol!

3 0

3 years ago

It took 30 minutes for Melinda to run 4 miles (Find the unit rate and explain what they mean)

zhannawk [14.2K]

Each mile took 7.5 minutes. So we did this by dividing 30 by 4. Hope this helped you :)

5 0

3 years ago

Read 2 more answers