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marshall27 [118]

3 years ago

7

The votes for president in a club election were: Smith: 24 Munoz: 32 Park: 20 Find the following ratios and write in simplest fo

rm. Votes for Munoz to Smith: Votes for Park to Munoz: Votes for Smith to total votes: Votes for Smith to Munoz to Park:

1 answer:

Setler79 [48]3 years ago

4 0

Answer:

Step-by-step explanation:

Smith=24

Munoz=32

Park=20

Total votes=24+32+20=76

Ratio of votes for Munoz to Smith

32:24

=4:3

Ratio of votes for Park to Munoz

20:32

=5:8

Ratio of votes for Smith to total votes

24:76

=6:19

Ratio of votes for Smith to Munoz to Park

24:32:20

=6:8:5

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4a - 5 = 11<br> Solve this please

d1i1m1o1n [39]

Answer:

a = 4

Step-by-step explanation:

Given equation:

4a - 5 = 11

Add 5 to both sides:

⇒ 4a - 5 + 5 = 11 + 5

⇒ 4a = 16

Divide both sides by 4:

⇒ 4a ÷ 4 = 16 ÷ 4

⇒ a = 4

7 0

2 years ago

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Since a math school opened the girls basketball team had the same record every season the team won a total of 182 games while lo

Tems11 [23]

Answer:

11

Step-by-step explanation:

I guess

6 0

3 years ago

Complete the assignment on a separate sheet of paper<br><br> Please attach pictures of your work.

Irina18 [472]

Answer:

<u>TO FIND :-</u>

Length of all missing sides.

<u>FORMULAES TO KNOW BEFORE SOLVING :-</u>

$\sin \theta = \frac{Side \: opposite \: to \: \theta}{Hypotenuse}$
$\cos \theta = \frac{Side \: adjacent \: to \: \theta}{Hypotenuse}$
$\tan \theta = \frac{Side \: opposite \: to \: \theta}{Side \: adjacent \: to \: \theta}$

<u>SOLUTION :-</u>

1) θ = 16°

Length of side opposite to θ = 7

Hypotenuse = x

$=> \sin 16 = \frac{7}{x}$

$=> \frac{7}{x} = 0.27563......$

$=> x = \frac{7}{0.27563....} = 25.39568.....$ ≈ 25.3

2) θ = 29°

Length of side opposite to θ = 6

Hypotenuse = x

$=> \sin 29 = \frac{6}{x}$

$=> \frac{6}{x} = 0.48480......$

$=> x = \frac{6}{0.48480....} = 12.37599.....$ ≈ 12.3

3) θ = 30°

Length of side opposite to θ = x

Hypotenuse = 11

$=> \sin 30 = \frac{x}{11}$

$=> \frac{x}{11} = 0.5$

$=> x = 0.5 \times 11 = 5.5$

4) θ = 43°

Length of side adjacent to θ = x

Hypotenuse = 12

$=> \cos 43 = \frac{x}{12}$

$=> \frac{x}{12} = 0.73135......$

$=> x = 12 \times 0.73135.... = 8.77624....$ ≈ 8.8

5) θ = 55°

Length of side adjacent to θ = x

Hypotenuse = 6

$=> \cos 55 = \frac{x}{6}$

$=> \frac{x}{6} = 0.57357......$

$=> x = 6 \times 0.57357.... = 3.44145....$ ≈ 3.4

6) θ = 73°

Length of side adjacent to θ = 8

Hypotenuse = x

$=> \cos 73 = \frac{8}{x}$

$=> \frac{8}{x} = 0.29237......$

$=> x = \frac{8}{0.29237.....} = 27.36242.....$ ≈ 27.3

7) θ = 69°

Length of side opposite to θ = 12

Length of side adjacent to θ = x

$=> \tan 69 = \frac{12}{x}$

$=> \frac{12}{x} = 2.60508......$

$=> x = \frac{12}{2.60508....} = 4.60636....$ ≈ 4.6

8) θ = 20°

Length of side opposite to θ = 11

Length of side adjacent to θ = x

$=> \tan 20 = \frac{11}{x}$

$=> \frac{11}{x} = 0.36397......$

$=> x = \frac{11}{0.36397....} =30.22225....$ ≈ 30.2

5 0

2 years ago

Will give brainliest.

Dennis_Churaev [7]

Pretty sure it's A. (X times .5 equals Y)

8 0

3 years ago

Which represents a side length of a square that has an area of 450 square inches?

amm1812

The formula of an area of a square:

$A=a^2$

a - a side

We have $A=450\ in^2$

substitute:

$a^2=450\to a=\sqrt{450}\\\\a=\sqrt{225\cdot2}\\\\a=\sqrt{225}\cdot\sqrt2\\\\\boxed{a=15\sqrt2\ in}$

Used:

$\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}$

5 0

3 years ago