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Novosadov [1.4K]
3 years ago
15

A gym sells memberships for $325. To determine the amount of money made on memberships, the gym can use the equation, t=325m , w

here t represents the total amount of money made on memberships and m represents the amount of memberships sold. If the gym sells 19 memberships in January, how much money will be made on memberships for the month? $ If the gym sells the same amount of memberships each month, how much money will be made in a year? $
Mathematics
1 answer:
Elis [28]3 years ago
3 0
$6175 in January because 19*325=6175
$74100 in a year because 6175 per month*12 months in a year= $74100
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Find the area of the triangle ABC with the coordinates of A(10, 15) B(15, 15) C(30, 9).
lions [1.4K]

Check the picture below.  so, that'd be the triangle's sides hmmm so let's use Heron's Area formula for it.

~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{10}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{15}~,~\stackrel{y_2}{15}) ~\hfill a=\sqrt{[ 15- 10]^2 + [ 15- 5]^2} \\\\\\ ~\hfill \boxed{a=\sqrt{125}} \\\\\\ (\stackrel{x_1}{15}~,~\stackrel{y_1}{15})\qquad (\stackrel{x_2}{30}~,~\stackrel{y_2}{9}) ~\hfill b=\sqrt{[ 30- 15]^2 + [ 9- 15]^2} \\\\\\ ~\hfill \boxed{b=\sqrt{261}}

(\stackrel{x_1}{30}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{5}) ~\hfill c=\sqrt{[ 10- 30]^2 + [ 5- 9]^2} \\\\\\ ~\hfill \boxed{c=\sqrt{416}} \\\\[-0.35em] ~\dotfill

\qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=\sqrt{125}\\ b=\sqrt{261}\\ c=\sqrt{416}\\ s\approx 23.87 \end{cases} \\\\\\ A\approx\sqrt{23.87(23.87-\sqrt{125})(23.87-\sqrt{261})(23.87-\sqrt{416})}\implies \boxed{A\approx 90}

6 0
2 years ago
MOre geometry.<br> Sorry i struggle.
il63 [147K]

1/2 (Base x height) = area

1/2 (4*x)=10

2x=10

X=5

The height is 5 units

5 0
3 years ago
A car traveled at a constant speed for 4 hours and covered 144.6 miles. It used 12 gallons of gas to travel this distance. How f
FromTheMoon [43]
In one hour he traced the distance of: 36.15 miles

With one gallon of gas he went: 12.05 miles 

;) There you go! Good Luck!
8 0
3 years ago
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Inequalitys math question<br> please help
Zielflug [23.3K]
Answer is B (hope this helps!)

8 0
2 years ago
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Can someone help me on 6?
fomenos

Answer:

66600 ft

Step-by-step explanation:

First draw a rectangle and draw a diagonal line in the middle. The line makes two triangles, and the line itself is the hypotenuse. So, to find hypotenuse, the formula is:

a^2 + b^2 = c^2

The variable c defines the hypotenuse. Therefore:

a = 150

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Let's solve:

150^2 + 210^2 = c^2

22500 + 44100 = c^2

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Therefore, in conclusion, the result we are getting is 66600 ft.

<u><em>Hope This Helps!</em></u>

6 0
2 years ago
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