All categories

4 years ago

Solve the triangle. a = 10, b = 23, C = 95°

1 answer:

3 0

C² = a² + b² - (2ab * cosC)
c² = 10² + 23² - (2 * 10 * 23 * cos95) 
c² = 100 + 529 - (460 * -.08715) 
c² = 629 - (-40.1) 
c² = 669.1 
c = 25.87 

(Sin C) / C = (Sin A) / A 
(Sin 95) / 25.87 = SinA / 10, Remember 0 < A < 85 
(10 * Sin95) / 25.87 = Sin A 
A = arcsin ((10 * sin95) / 25.87) 
A = 22.65º 

B = 180 - A - C 
B = 180 - 95 - 22.65 
B = 62.35º 

I hope this helps. Have a good day.

You might be interested in

Solve for the missing side to the nearest tenth. 19 X 51

telo118 [61]

Answer:

x = 30.2 units

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

Selecting any of the acute angles, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides and the hypotenuse.

The given right triangle has an angle of measure 51° and its adjacent leg has a measure of 19 units. It's required to calculate the hypotenuse of the triangle.

We use the cosine ratio to calculate x:

$\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}$

$\displaystyle \cos 51^\circ=\frac{19}{x}$

Solving for x:

$\displaystyle x=\frac{19}{\cos 51^\circ}$

$\displaystyle x=\frac{19}{0.6293}$

x = 30.2 units

3 0

3 years ago

Given that set A={1,2,3,4,5}and set B={2,4,6,8} AnB'

Liono4ka [1.6K]

Step-by-step explanation:

First u hv to understand what is asked. Here, u have to find the intersecting numbers from the set A and not included in set B. Thus, u know except foe 2,4,6,8, othher numbers are not in set B. Set A is included 1,2,3,4,5. In this way u can simply find AnB' as AnB'={1,3,5}

8 0

3 years ago

Rebecca baked 48 pizzas to share with her friends. She ate 3 pizzas and gave 5 to each of her friends. Which pair of equations,

soldier1979 [14.2K]

48=5x-3

45=5x
x=9 friends

equation: 48=5x-3

3 0

3 years ago

Read 2 more answers

Rectangle ABCD has vertices A(1, 2) , B(4, 2) , C(1, −2) , and D(4, −2) . A dilation with a scale factor of 6 and centered at th

iogann1982 [59]

B because its ratio matches the (4,2)

8 0

4 years ago

Read 2 more answers

A wall is 12 feet long and 8 feet tall. There is a square window 4 feet long in the wall. What is the area of the wall surface?

timofeeve [1]

How to find the surface area of Rectangular Prisms:

Find the area of two sides (Length*Height)*2 sidesFind the area of adjacent sides (Width*Height)*2 sidesFind the area of ends (Length*Width)*2 endsAdd the three areas together to find the surface area.

I hope this helps :)

6 0

3 years ago

Read 2 more answers