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eimsori [14]
3 years ago
8

Find the reference angle of the following angles:

Mathematics
1 answer:
nadya68 [22]3 years ago
5 0

Answer:

7π/18 radians

Step-by-step explanation:

A reference angle for angle β is the positive acute angle made by the terminal side of angle β and the x-axis.

A semi-circle angle has a measure of π radians.

The angle of the figure (in absolute value) can be decomposed as the addition of its reference angle and π radians. Therefore:

π + reference angle  = 25π/18

reference angle  = 25π/18 - π

reference angle  = 7π/18 radians

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The radius,r , of a sphere is 4 . 3m Calculate the sphere's volume,v . Use the value 3.14 for sqaure, and round your answer to t
kotykmax [81]

Answer:

V(s) = 332,9 m³

Step-by-step explanation:

The volume of a sphere is:

V(s) = (4/3)*π*r³

if we know  r  = 4,3 m then

V(s)  = (4/3)*3,14*(4,3)³

V(s)  = 332,8693 m³

Rounding the answer to the nearest tenth

V(s) = 332,9 m³

4 0
3 years ago
Which equation represents a proportional relationship?
asambeis [7]

Given:

Four equations in the options.

To find:

The equation which represents a proportional relationship.

Solution:

If y is proportional to x, then

y\propto x

y=kx

where, k is the constant of proportionality.

In this case if x=0, then y=0. It means the graph of a proportional relationship passes through the origin.

From the given options, only option B, i.e., y=\dfrac{1}{4}x, is of the y=kx, where, k=\dfrac{1}{4}.

So, the equation y=\dfrac{1}{4}x represents a proportional relationship.

Therefore, the correct option is B.

6 0
2 years ago
Felix wrote several equations and determined that only one of the equations has no solution. Which of these equations has no sol
lara [203]

Answer:

3(x-2)+x=4x+6

Step-by-step explanation:

case 1) we have

3(x-2)+x=4x-6

Solve for x

3x-6+x=4x-6

4x-6=4x-6

0=0 ----> is true for any value of x

therefore

The equation has infinite solutions

case 2) we have

3(x-2)+x=2x-6

3x-6+x=2x-6

4x-2x=-6+6

2x=0

x=0

case 3) we have

3(x-2)+x=3x-3

3x-6+x=3x-3

4x-3x=-3+6

x=3

case 4) we have

3(x-2)+x=4x+6

3x-6+x=4x+6

4x-4x=6+6

0=12 ------> is not true

therefore

The equation has no solution

4 0
3 years ago
Read 2 more answers
Solve<br> x+y= -1<br> x - y = -7<br> using elimination.
Andreas93 [3]

Answer:

(-4, 3)

x = -4, y = 3

6 0
3 years ago
Express each improper fraction as a decimal <br><br> 1.22/5
sesenic [268]

you would dived the numerator by the denominator 1.22 divided by  =0.244

7 0
3 years ago
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