How to find length of a triangle given one side and angle

Answers

Answer 1

Answer:

Use trigonometric ratio

Step-by-step explanation:

Since it is one side and angle of the triangle that is given, it is assumed that the triangle is a right-angled triangle

To solve for one of the two unknown lengths, use trigonometric ratio

There are 3 basic trigonometric ratio namely Sine (sin), Cosine (cos) and Tangent (tan)

Sine of the angle given = opposite side ÷ hypotenuse side

Cosine of the angle given = adjacent side ÷ hypotenuse side

Tangent of the angle given = opposite side ÷ adjacent side

Assuming the length given is the hypotenuse side and the angle is inclined to the horizontal

To find the opposite side of the triangle, multiply the hypotenuse side by the sine of the angle given

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FIVE
What is the area of a parallelogram with base length 12 m and height 9 m?

Answers

Answer:

The Area is 108

Step-by-step explanation:

A=bh

A=12 × 9

A=108

Answer:

108 meters^2

Step-by-step explanation:

The area of a rectangle can be found using:

a=Bh

We now the base is 12, and the height is 9, so we can substitute them in

a=12*9

a=108

The area is 108 meters^2

2. Sarah's craft project uses pieces of yarn that areyard long. She has a piece of yarn that is 3 yards long.
How many -yard pieces can she cut and still have 1
yards left?

Answers

Answer:

She will be able to cut approximately 2 yards off and still have 1 yard.

Step-by-step explanation:

Because 3-2=1 so there would be 1 yard left.

Vito is reading a historical fiction novel about Nelson Mandela for his literature class. He needs to identify a theme from the novel. Which statement is an example of a theme?Politicians can become very famous.
Mandela served as president of South Africa for five years.
Challenges can be overcome through hard work and persistence.
Mandela encouraged peace in his country while he was president.

Answers

Answer:

In Nelson Mandela's family he was the first to receive a formal education. At that time, very few black kids attained high school education in South Africa.

What solution of the inequality -1<4+5x<9

Answers

$-1\ \textless \ 4+5x\ \textless \ 9 \n \n -1 - 4 \ \textless \ 5x \ \textless \ 9 - 4 \ / \ subtract \ 4 \ from \ equation \n \n -5 \ \textless \ 5x \ \textless \ 5 \ / \ simplify \n \n - (5)/(5) \ \textless \ x \ \textless \ 1 \ / \ divide \ equation \ by \ 5 \n \n -1 \ \textless \ x \ \textless \ 1 \ / \ simplify \n \n$

Answer: -1 < x < 1

I need to turn this is tomorrow, the area of the rectangle is 10cm², find the value of x and use it to find the length and the width of the rectangle. The long sides of the rectangle measure 4x+2 and 10x-1. I need a formula please and thank you.

Answers

The formula is
Area=Length ×width
10=(4x+2)(10x-1)

What is the slope of 6x-3y=18??

Answers

$the \ slope \ intercept \ form \ is : \n \n y= mx +b \n \n6x-3y=18 \n \n-3y=-6x+18 \ \ /:(-3)\n \ny=(-6)/(-3)x + (18)/(-3) \n \ny=2x-6 \n \n m = 2$

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The area of a circle is 36π square centimeters. What is the diameter of the circle?A= πr2A 6B 9C 12D 18

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