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2 years ago

A circle has an area of 30in². What is the area of a 60° sector of this circle?

Mathematics

1 answer:

Amanda [17]2 years ago

7 0

Answer:

5 in^2

Step-by-step explanation:

The area of the sector will always be proportionate to the angle in the circle.

(The area of the sector / area of the circle) is equal to( the angle of the section divided by the angle of the circle)

The total degrees of a circle is 360

(area of the sector) = (60° / 360°) * 30 in^2

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Eli has saved $48.50. Eli's brother borrowed 1/10 of Eli's savings. How much money does Eli have left?

zimovet [89]

Answer:

$43.65

Step-by-step explanation:

1. divide 48.50 by 10

4.85

2. subtract 4.85 from 48.50

3. your answer would be $43.65

5 0

2 years ago

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What is x+y=10;y=x+10

Alenkasestr [34]

[ Answer ]

$\boxed{\bold{X \ = \ 0, \ Y \ = \ 10}}$

[ Explanation ]

System Of Equations $\bold{\left \{ {X \ + \ Y \ = \ 10} \atop {Y \ + \ X \ = \ 10}} \right.}$

-----------------------------------

[Substitute] Y = X + 10

$\bold{\begin{bmatrix}x+x+10=10\end{bmatrix}}$

Isolate x for x + x + 10 = 10: x = 0

For y = 10

Substitute x = 0

Y = 0 + 10

0 + 10 = 10

y = 10

Solutions

X = 0

Y = 10

$\boxed{\bold{[] \ Eclipsed \ []}}$

3 0

2 years ago

Solve sin 0 + 1 = cos20 on the interval 0 ≤ 0 < 2pi. Show work please!

yan [13]

Answer:

$\theta=\frac{\pi}{2},\frac{3\pi}{2}\frac{2\pi}{3}\frac{4\pi}{3}$

Step-by-step explanation:

You need 2 things in order to solve this equation: a trig identity sheet and a unit circle.

You will find when you look on your trig identity sheet that

$cos(2\theta)=1-2sin^2(\theta)$

so we will make that replacement, getting everything in terms of sin:

$sin(\theta)+1=1-2sin^2(\theta)$

Now we will get everything on one side of the equals sign, set it equal to 0, and solve it:

$2sin^2(\theta)+sin(\theta)=0$

We can factor out the sin(theta), since it's common in both terms:

$sin(\theta)(2sin(\theta)+1)=0$

Because of the Zero Product Property, either

$sin(\theta)=0$ or

$2sin(\theta)+1=0$

Look at the unit circle and find which values of theta have a sin ratio of 0 in the interval from 0 to 2pi. They are:

$\theta=\frac{\pi}{2},\frac{3\pi}{2}$

The next equation needs to first be solved for sin(theta):

$2sin(\theta)+1=0$ so

$2sin(\theta)=-1$ and

$sin(\theta)=-\frac{1}{2}$

Go back to your unit circle and find the values of theta where the sin is -1/2 in the interval. They are:

$\theta=\frac{2\pi}{3},\frac{4\pi}{3}$

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2 years ago

.54545454 as a fraction

defon

The answer as a fraction is 6/11

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3 years ago

Plz Help due in 10 min If triangle ABC has the following angle measurements, what is the value of x?

Nookie1986 [14]

Answer:

Step-by-step explanation:

4x-17+3x+8+x+13=180

8x+4 =180

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5 0

2 years ago

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