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olasank [31]
3 years ago
5

In the triangle below, what is the length of the side opposite the 30 degree angle?

Mathematics
1 answer:
Vitek1552 [10]3 years ago
5 0

Answer:

A. 3/2

Step-by-step explanation:

To find the lenght of the side opposing the 30° angle, you need to use trigonometry, since it's a right-angled triangle. You have your 30° angle and you have the side beside : therefore, you can use the sine :

sin(30) x 3 = ?

0,5 x 3 = ?

1,5 = ?

1,5 = 3/2

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What is an equation of the line that passes through the point (-3,-1) and is
Yuri [45]

Answer:

y = -2x - 7

Step-by-step explanation:

x - 2y = 6

   -2y = -x + 6

Divide the whole equation by (-2)

\frac{-2y}{-2}=\frac{-x}{-2}+\frac{6}{-2}\\\\y = \frac{1}{2}x - 3

slope = 1/2

Slope of the line perpendicular to this line = -1/m = -1 ÷ (1/2)

                                                                      =(-1)*\frac{2}{1}\\\\= -2

(-3, - 1)

y -y1 = m(x -x1)

y - [-1] = -2(x - [-3])

y + 1 = -2(x + 3)

y + 1= x* (-2)  + 3*(-2)

y + 1 = -2x - 6

    y = -2x - 6 - 1

     y = -2x - 7

6 0
3 years ago
Which statement describes the function y=ax^n when a=1 and n is odd?
julsineya [31]
ANSWER

B. The graph is symmetric about the origin

EXPLANATION.

The given function is

y = a {x}^{n}

When a=1,

y = {x}^{n}

Let,

f(x)= {x}^{n}

f(-x)= {( - x)}^{n}

Since n is odd,

f(-x)=-{( x)}^{n}

\Rightarrow f(-x)=-f(x)

This implies that, the function

y={x}^{n}

is symmetric with respect to origin.

The correct answer is B
5 0
3 years ago
Read 2 more answers
The length of a photograph is 3 cm less than twice the width. The area is 54 cm^2. Find the dimensions of the photograph?
11Alexandr11 [23.1K]
Length = 9, width = 6.
4 0
3 years ago
A pipe is leaking at 1.5 cups per day. About how many gallons per week is the pipe leaking?
Ira Lisetskai [31]
1.5 cups = 0.09375 gallon
per week = 7 days 
So, 0.09375(7) =0.65625 gallon /week
Or you could round it to 0.66
7 0
3 years ago
Complete the following proof.
Ivan

Using the circle theorems, we have proven that m ∠RTW = 15°

<h3>Circle theorems </h3>

From the question, we are to prove that m ∠RTW = 15°

In the given diagram,

measure of arc ST = 30°

∴ m ∠SRT = 30°

m ∠SRT = ∠T + ∠W ( <em>Exterior angle of a triangle equals the sum of the two remote angles</em>)

Also,

∠T = ∠W (<em>Radii of the same circle</em>)

∴ m ∠SRT = ∠T + ∠T

m ∠SRT = 2 × ∠T

30° = 2 × ∠T

∠T = 30° /2

∠T = 15°

∴ m ∠RTW = 15°  

Hence, we have proven that m ∠RTW = 15°

Learn more on Circle theorems here: brainly.com/question/27111486

#SPJ1

7 0
2 years ago
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