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KengaRu [80]
3 years ago
10

There are 32 female performers in a dance recital. The ratio of men to women is 3;8. How may men are in the dance recital?

Mathematics
2 answers:
djyliett [7]3 years ago
8 0
Ratio m/w = 3/8 = m/32

So in the example the equation is:

m= 3/8 X 32= divide both 3 and 32 by 8=

There are 12 men
Dmitriy789 [7]3 years ago
8 0
12, because 32 divided by 8 is 4 and 4 Times 3 is 12
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In a standard television set, the screen height is 0.75 times the screen width. If a television set measures 34 inches along the
S_A_V [24]
We can solve this by using the  P<span>ythagorean theorem which is below:

a^2 + b^2 = c^2

Or we can say
</span>w^2 + h^2 = d^2
<span>w = widht
h = height
d = diagonal measure


With that said, we know the height is .75 times the width so .75w. We also know d = 34, which is our diagonal measure.
w = don't know yet but need to find
h = .75w
d = 34
Now lets plugin the information we know into our equation

</span>w^2 + h^2 = d^2
w^2 + (.75w)^2 = 34^2
Now lets to the math
w^2 + (.75w)^2 = 34^2
w^2 + (.75w)^2 = 1156
w^2 + .5625w^2 = 1156
Combine like terms
w^2 + .5625w^2 = 1156
1.5625w^2 = 1156
Divide both sides of the equal sign by 1.5625
\frac{1.5625w^2}{1.5625} = \frac{1156}{1.5625}
w^2 = 739.84
Now take the square root on both sides of the equal sign
\sqrt{w^2} = \sqrt{739.84}
w = 27.2

So the width is 27.2
We can check this by putting 27.2 back into our original equation
w^2 + (.75w)^2 = 34^2
27.2^2 + (.75\times 27.2)^2 = 34^2



3 0
3 years ago
What is run pattern of j, f, m, a, m
Dafna1 [17]
Those are some of the first letters of the month. j = January, f = Feb, m = March, a = April, and m = May.

Happy studying ^-^
5 0
3 years ago
Can you please help me please please thank you very much you please
kipiarov [429]

we know that

The unit rate is $0.65 per foot

so

To find out the cost, multiply the unit rate by the length of the rope

so

0.65*(10.8)=$7.02

therefore

<h2>The cost is $7.02</h2>
3 0
1 year ago
Equations and inequalities
DerKrebs [107]
Inequalities and equations use similar steps to solve, but inequalities give a range of numbers that can represent the variable while an equation will give a direct answer.

Example:

4+5x=24

First you would subtract 4 or add the opposite of 4 from 24.

4+5x=24
+(-4) +(-4)
—————
5x=20

Then divide each side by 5 or multiply each side by the reciprocal of 5 to isolate the variable.

1/5*5x=20*1/5 (reciprocal)
X= 4

You would use the same steps in an inequality but end up with a different sign.
8 0
2 years ago
Read 2 more answers
Directions: Find the indicated trigonometric ratio as a fraction in simplest form. 1. Sin L =
Rainbow [258]

Answer:

\sin L = 0.60

tan\ N = 1.33

\cos L = 0.80

\sin N = 0.80

Step-by-step explanation:

Given

See attachment

From the attachment, we have:

MN = 6

LN = 10

First, we need to calculate length LM,

Using Pythagoras theorem:

LN^2 = MN^2 + LM^2

10^2 = 6^2 + LM^2

100 = 36 + LM^2

Collect Like Terms

LM^2 = 100 - 36

LM^2 = 64

LM = 8

Solving (a): \sin L

\sin L = \frac{Opposite}{Hypotenuse}

\sin L = \frac{MN}{LN}

Substitute values for MN and LN

\sin L = \frac{6}{10}

\sin L = 0.60

Solving (b): tan\ N

tan\ N = \frac{Opposite}{Adjacent}

tan\ N = \frac{LM}{MN}

Substitute values for LM and MN

tan\ N = \frac{8}{6}

tan\ N = 1.33

Solving (c): \cos L

\cos L = \frac{Adjacent}{Hypotenuse}

\cos L = \frac{LM}{LN}

Substitute values for LN and LM

\cos L = \frac{8}{10}

\cos L = 0.80

Solving (d): \sin N

\sin N = \frac{Opposite}{Hypotenuse}

\sin N = \frac{LM}{LN}

Substitute values for LM and LN

\sin N = \frac{8}{10}

\sin N = 0.80

7 0
3 years ago
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