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ElenaW [278]
3 years ago
9

GIVING EVERYTHING IF CORRECT. NO fake answers, you will be reported. And it hurts my grades so please don't.

Mathematics
1 answer:
seropon [69]3 years ago
3 0

Answer:

A. 9.8 ft

Step-by-step explanation:

first convert the degrees to radians:

80° x (pi/180) ≈ 1.396

arc length = r x θ (always in radians)

= 7 x 1.396

= 9.772 ≈ 9.8 ft

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Two turtles race. The speed of the first is 4 1/ 2 inches per minute and the speed of the other is 5 inches per minute How far a
RSB [31]

Answer:

(a) 1.5 inches

(b) 2.5 inches

(c) 5 inches

Step-by-step explanation:

speed of first turtle = 4 1/2 inches per  minute = 9/2 inches per minute

speed of the second turtle = 5inches per minute

distance = speed x time

(a) Distance traveled by first turtle in 3 minutes

s = 9/2 x 3 = 13.5 inches

distance traveled by second turtle in 3 minutes

s' = 5 x 3 = 15 inches

So, the gap is

s'- s = 15 - 13.5 = 1.5 inches

(b) Distance traveled by first turtle in 5 minutes

s = 9/2 x 5 = 22.5 inches

distance traveled by second turtle in 5 minutes

s' = 5 x 5 = 25 inches

So, the gap is

s'- s = 25 - 22.5 = 2.5 inches

(c) Distance traveled by first turtle in 10 minutes

s = 9/2 x 10 = 45 inches

distance traveled by second turtle in 10 minutes

s' = 5 x 10 = 50 inches

So, the gap is

s'- s = 50 - 45 = 5 inches

6 0
3 years ago
Absolute value of -4 1/2
iragen [17]

Answer: 4 1/2

Step-by-step explanation:

4 0
3 years ago
Write an expression with (-1) as its base that will product a negative product
algol [13]

Base of the exponential equation should be (-1).

And finally the product or result should also be a negative number.

Let us take a variable for n natural numbers.

(Note: All positive whole numbers are called natural numbers that is  1,2,3,4,5,....).

In order to get the expression, we need to find the expession for odd natural numbers.

We know,

The expession for odd natural numbers is given by = 2n-1.

Where n= 1,2,3,4,5...

If we have an odd exponent of a negative number, it always gives a negative number.

We got, base = -1  ( a negative number) and

exponent = (2n-1)    ........... expression for odd number.

Therefore, we could write final exponential expression that would give a negative for all natural numbers.

(-1)^{2n-1}


7 0
3 years ago
One brand of coffee is packaged in cylinders where the height is equal to the radius, r. The volume of the package, in cubic cen
aliya0001 [1]

Answer:

<h2>C(V(r)) = 3.2πr3</h2>

Step-by-step explanation:

This problem is a composition of function defined by C(V(r)), now we have the functions V(r)= \pi r^{3} and C(V)=3.2V, where the first depends on the radius, and the second dependes on the volume, that means, to find the number of ounce of coffe, we need to determine the volume of the cylinder, that's why we have to replace the volume function inside the ounces function,

C(V(r))=3.2(\pi r^{3} )

Therefore, the right answer is the last choice.

8 0
3 years ago
Calculate the speed at the edge of a disc of radius 8.5 cm that rotates at the rate of 2.5 rev/s.
Zina [86]

Answer:

11 m/s

Step-by-step explanation:

cause 8.5 add 2.5 then 11 then m/s

6 0
1 year ago
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