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3 years ago

STAAR Review= the ratio of number of boy to girls is 5 to 4 . there are 60 girls how many boys is in the choir

Mathematics

2 answers:

3241004551 [841]3 years ago

4 0

Answer:

75 boys

Step-by-step explanation:

$\frac{5}{4}$ = $\frac{x}{60}$

4x = 300

x = 75

Brilliant_brown [7]3 years ago

4 0

Answer:

Step-by-step explanation:

5/4 = x/60

4x = 300 300 divided by 4 equals 75

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A painter is using a 8-foot ladder to paint a house. The painter places the ladder 6 feet from the house. How high up the wall d

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Step-by-step explanation:

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3 years ago

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2 years ago

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2 years ago

Angle (theta) is in standard position. If (8,-15) is on the terminal ray of angle (theta), find the values of the trigonometric

mariarad [96]

Answer:

$\sin \theta =\frac{-15}{17}\\cos \theta =\frac{8}{17}\\\tan \theta =\frac{-15}{8}\\\csc \theta =\frac{-17}{15}\\\sec \theta =\frac{17}{8}\\\cot \theta =\frac{-8}{15}$

Step-by-step explanation:

Given: (8,-15) is on the terminal ray of angle

To find: All the trigonometric ratios

Solution:

Trigonometry is a branch of mathematics that explain relationship between the sides and angles of triangles.

If (x, y) lies on the terminal side of θ then $r=\sqrt{x^2+y^2}$

$r=\sqrt{(8)^2+(-15)^2}=\sqrt{64+225}=\sqrt{289}=17$ units

$\sin \theta =\frac{y}{r}=\frac{-15}{17}\\cos \theta =\frac{x}{r}=\frac{8}{17}\\\tan \theta =\frac{y}{x}=\frac{-15}{8}\\\csc \theta =\frac{1}{\sin \theta }=\frac{-17}{15}\\\sec \theta =\frac{1}{cos \theta}=\frac{17}{8}\\\cot \theta =\frac{1}{\tan \theta}=\frac{-8}{15}$

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3 years ago

STAAR Review= the ratio of number of boy to girls is 5 to 4 . there are 60 girls how many boys is in the choir​

STAAR Review= the ratio of number of boy to girls is 5 to 4 . there are 60 girls how many boys is in the choir