What is the length of the missing side of the triangle in simplest radical form? Please show all work.

Mathematics

1 answer:

Sergio [31]3 years ago

6 0

For this question u can use a^2+b^2=c^2!
6^2+10^2=c^2
u will get 2✓34

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If Holly gets 14 % off a shirt , what percent of the original price will still pay

scoundrel [369]

Answer:

Holly will still pay 86% of the original price.

Step-by-step explanation:

Given

Holly gets 14% off a shirt, so

Discount = 14%

To determine

What percent of the original price will still pay.

All we need is to subtract the percentage of discount from 100.

i.e.

100 - Discount = 100 - 14 = 86%

The amount left over would be what remains of the original price after Holly gets 14 % off a shirt.

Thus, Holly will still pay 86% of the original price.

3 0

3 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

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