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3 years ago

Area of a sector of a circle is 1/6 to the area of circle. Find the degree measure of its min

Mathematics

1 answer:

Inga [223]3 years ago

8 0

Answer:

theta = 60

Step-by-step explanation:

let the radius BE R

and angle be theta

formula

theta/360 x pi r2= 1/6 x pi r2

pi r2 gets canceled on both sides

theta/360 = 1/6

theta = 360/6

= 60

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Evaluate the following:<br>(-8)2

Zigmanuir [339]

Answer:

Step-by-step explanation:

PEMDAS- (Parenthesis, Exponents, Multiply, Divide, Add, and Subtract) from left to right.

BOMDAS- (Brackets, Of, Multiply, Divide, Add, and Subtract) from left to right.

(-8)2

-8*2 (First, remove parenthesis.)

-8*2=-16

-16

Therefore, the final answer is -16.

5 0

3 years ago

Read 2 more answers

Given that f(x) = x + 4 and g(x) = x^{2} - x, find (f + g)(5), if it exists.

user100 [1]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

<u>Answer</u><u> </u><u>Check</u>

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$

The equation is true for both roots.

<u>Answer</u>

$\large \boxed {3 {x}^{2} - 14x - 5 = 0}$

8 0

3 years ago

How to solve this problem?

SOVA2 [1]

Covert to a common denominator to help:
A LCD is 24.
12/24, 20/24, and 15/24

So 12/24, 15/24, 20/24
Convert back into their original denominators:
1/2, 5/8, 5/6.
F.

6 0

3 years ago

Andrew has one book that is two and 378 inches thick and a second book that is 3.56 inches thick if he stacks the books about ho

Georgia [21]

2.378 + 3.56 = 5.938

two and 378 inches = 2.378

8 0

4 years ago