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never [62]
3 years ago
14

A circle has central angle with an angle measure of 2 rad and a radius with a length of 5.7. Determine the length of the arc sub

tended by this angle. Record answer to the nearest tenth.
Mathematics
1 answer:
lisabon 2012 [21]3 years ago
7 0

Answer:

Step-by-step explanation:

A circle has central angle with an angle measure of 2 rad. We would convert from rad to degrees.

1 rad = 57.296 degrees

2 rads = 2×57.296 = 114.592 degrees.

The radius of the circle is 5.7

To determine the length of the arc subtended by this angle, we would apply the formula,

Length of arc = #/360 × 2πr

r = radius of circle = 5.7

π = constant = 3.14

Length of arc = 114.952 /360 × 2× 3.14 ×5.7 = 11.39

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omeli [17]

To solve the inequality -25 > -5(x + 2.5), first multiply -5 by the number and variable in the parentheses.

-25 > -5x - 12.5

Now add 12.5 to both sides of the equation.

-25 + 12.5 > -5x - 12.5 + 12.5

-12.5 > -5x

Now divide -12.5 by -5 to get the answer.

-12.5 ÷ -5 is 2.5

You would think the final answer is 2.5 > x, but that is not true because -5 is negative and when a negative number is divided to both sides of an inequality, the sign gets flipped.

So, the real answer is 2.5 < x, or x > 2.5.

3 0
2 years ago
5х – у = -5<br> 3х - бу = 24 ​
Kitty [74]

Answer:

(x,y) = (—2,—5)

Step-by-step explanation:

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2 years ago
Find ​f(-1​), ​f(0​) and ​f(2​) for the following function.
Anastaziya [24]

Answer:

The answers are...

h(-1) = 3

h(0) = 0

h(4) = -6

Step-by-step explanation:

In order to solve each of these, simply input the value of x into the equation.

f(x) = -3x

f(-1) = -3(-1)

f(-1) = 3

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f(0) = 0

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f(2) = -3(2)

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5 0
3 years ago
How are area and volume similar? both are 2-dimensional both take up an amount of space both are 3-dimensional both have length,
VARVARA [1.3K]

Answer:

128

Step-by-step explanation:

The area of the larger rectangle is \begin{align*}8(16)=128 \ \mathrm{units}^2\end{align*} and the area of the smaller rectangle is \begin{align*}5(10)=50 \ \mathrm{units}^2.\end{align*} If we compare the areas in a ratio, it is \begin{align*}50:128 \ = \ 25:64 \ = \ 5^2:8^2.\end{align*}

~Vee

6 0
1 year ago
Read 2 more answers
A+b+c=180 solve for c
sladkih [1.3K]
<span>a + b + c = 180

c = 180 - (a + b)

c = 180 - a - b</span>
7 0
3 years ago
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