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2 years ago

Find the length of each arc r=13 ft x=90 degrees

Mathematics

1 answer:

VladimirAG [237]2 years ago

6 0

Answer:

$13\pi/2$

Step-by-step explanation:

The formula of the circumference of a circle is $2\pi r$ .

The length of an arch can be found by using the ratio of circumference to the arc.

First, find the circumference of the circle:

$2\pi *13=26\pi$

Then you find the ratio:

The length of the arc is 90/360, which is 1/4, of the circumference.

Finally, find the length of the arc:

$26\pi*1/4=(13/2)\pi$ or $13\pi/2$

I hope this helps :)

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kherson [118]

Answer:

yes this is true

Step-by-step explanation:

this is because 2x3=6 so 2x3g=6g

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3 years ago

Determine whether the function f(x) = -9.5 + 6 + x² is even, odd or neither.

zimovet [89]

Answer:

The function f(x) = -9.5 + 6 + x² is neither odd or even.

Step-by-step explanation:

We know that a function is termed as 'even' when

f(-x) = f(x) for all x

We know that a function is termed as 'odd' when

f(-x) = -f(x) for all x

Given the function

f(x) = -9.5x⁵ + 6 + x²

substitute x with -x

f(-x) = -9.5(-x)⁵ + 6 + (-x)²

as (-x)⁵ = -x⁵, so

f(-x) = -(-9.5x)⁵ + 6 + (-x)²

Apply exponent rule: (-a)ⁿ = aⁿ, if n is even

f(-x) = -(-9.5x)⁵ + 6 + x²

Apply rule: -(-a) = a

f(-x) = 9x⁵ + 6 + x²

f(-x) ≠ f(x) ≠ -f(x)

Therefore, the function f(x) = -9.5 + 6 + x² is neither odd or even.

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3 years ago

Simplified radical form of 4800 feet how many seconds was the diver in a free fall? Using functions (t)=16t^2 models the distanc

amm1812

Answer:

The diver will be in free fall for $10\sqrt{3}$ seconds.

Step-by-step explanation:

The distance in feet, that an object falls in t seconds is given by the function $h(t) = 16t^{2}$ .

Now, given that the height is 4800 feet and we have to calculate the number of seconds the diver was in a free fall.

Therefore, $4800 = 16t^{2}$

⇒ $t^{2} = \frac{4800}{16} = 300$

⇒ $t = \sqrt{300} = \sqrt{100 \times 3} = 10\sqrt{3}$ seconds.

Therefore, the diver will be in free fall for $10\sqrt{3}$ seconds. (Answer)

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3 years ago

Mikhail believes he can use the multiplication expression 1/2x6 to find the total number of

Svetlanka [38]

Answer:

I think the second option is the most appropriate option.

Step-by-step explanation:

Mikhail believes he can use the multiplication expression $\frac{1}{2} \times 6$ to find the total number of pound servings of rice he can make from 6 pounds of rice.

Now, we have to select the statement from the four options that best explains why Mikhail is correct or incorrect.

I think the second option is the most appropriate option.

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2 years ago

Carol has a 24 cm x 36 cm photo that she reduces to 3/4 of its size. What are the dimensions of the new photo?

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3 years ago