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anygoal [31]
2 years ago
15

Find the arc length of the partial circle.

Mathematics
2 answers:
Mashcka [7]2 years ago
6 0

Answer:

arc length = 4π units

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × \frac{90}{360}

     = 2π × 8 × \frac{1}{4}

     = 2π × 2

    = 4π units ← exact answer

Novosadov [1.4K]2 years ago
4 0
Mark Brainliest please

Answer : Arc length (L) = 12.56637
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What is the average rate of change for h(t) between t=0 and t=2
nordsb [41]

Part a: Option D 18 feet per second

Part b: increasing

Solution:

Height h(t)=-16 t^{2}+50 t+3

Part a: To find the average rate of change for h(t) between t = 0 and t = 2.

Substitute t = 0 in h(t).

h(0)=-16 (0)^{2}+50 (0)+3

h(0) = 3

Substitute t = 2 in h(t).

h(2)=-16 (2)^{2}+50 (2)+3  

h(2) = 39

Average rate of change formula:

           $=\frac{h(b)-h(a)}{b-a}

Here, a = 0 and b = 2.

           $=\frac{h(2)-h(0)}{2-0}

           $=\frac{39-3}{2}

           $=\frac{36}{2}

           = 18

Average rate of change = 18 feet per second

Option D is the correct answer.

Part b:

This means height of the ball is increasing for 0 < x < 2.

6 0
2 years ago
Which of the following statements is false?
Alina [70]

Answer:

C is false

Step-by-step explanation:

Example 3 is odd but 6 is equal.

3•6 is 18

18 is even

3 0
2 years ago
The volume of the rectangular prism is 648 feet. The rectangular base is 6 feet by 9 feet. What is the height of the prism?
IrinaK [193]

Answer:

h=12ft

Step-by-step explanation:

The formula one would use for finding the volume of a rectangular prism is as follows:

  • Volume = length × width × height , V=l*w*h

With this in mind, let's plug in the given variables in the question for this formula.

V=648ft^3

l=6ft

w=9ft

h= ?

  • We don't know the height, but that's just fine. We will plug in all our values and isolate h.

V=lwh\\648ft^3=(6ft)(9ft)h

  • I'm leaving in units just because I want to show that units aren't just for show. They can be used when in doubt of how to go about your math.

648ft^3=(6ft)(9ft)h\\648ft^3=(54ft^2)h\\\frac{648ft^3}{54ft^2}=\frac{(54ft^2)h}{54ft^2}

  • Notice, that the units on the left side cancel out, leaving only the unit ft left next to the solution. In the same way, the units on the right side cancel out too, leaving only h, height.

\frac{648ft^3}{54ft^2}=\frac{(54ft^2)h}{54ft^2}\\12ft=h

If involving units only confuses you, like it does for me, you can remove them like so, you just need to know what units your solution uses instead of being able to come to the proper units by using math.

V=lwh\\648=(6)(9)h\\648=54h\\\frac{648}{54}=\frac{54h}{54}\\12ft=h

5 0
3 years ago
Mrs. Saunders bought a 19 pound turkey for Thanksgiving. The total cost of the
Luda [366]

Answer:

$1.35 per pound

Step-by-step explanation:

25.65/19=1.35

7 0
2 years ago
The perimeter of a rectangle is 60 centimeters. The base is 2 times the height. What are the dimensions of the rectangle?
andrezito [222]
C) is the correct answer because since the base is 2 times the height, this means that the base is larger than the height. And when u look at c, and u add up all the sides( 10+10+20+20) you get the perimeter, 60 cm
5 0
3 years ago
Read 2 more answers
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