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Zepler [3.9K]
2 years ago
9

What are the circumference and area of a circle with radius 7in. Round to the nearest tenth.

Mathematics
1 answer:
Natalka [10]2 years ago
4 0

Circumference is 40 in and area is 150 in²

Step-by-step explanation:

  • Step 1: Find the circumference of the circle when radius = 7 in

Circumference = 2πr = 2 × 22/7 × 7 = 44 in ≈ 40 in

  • Step 2: Find the area of the circle.

Area = πr² = 22/7 × 7² = 154 in² ≈ 150 in²

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At home, Alice noticed that she had a flat tire. With the spare, Alice drove 30 miles to the next shop at 45 mph. After getting
Mrac [35]

Answer: Approximately 54.7826 mph

As a fraction, this average speed is exactly 1260/23 mph.

========================================================

Work Shown:

"Alice drove 30 miles...at 45 mph". This means

t = d/r

t = 30/45

t = 2/3

She drove for 2/3 of an hour, which is (2/3)*60 = 40 minutes.

Then "she drove home at 70 mph". She drove the same distance, meaning,

t = d/r

t = 30/70

t = 3/7

She drove for 3/7 of an hour, which is roughly (3/7)*60 = 25.714 minutes.

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

Add up the time values

(2/3 hr) + (3/7 hr)

(2/3 + 3/7) hr

(14/21 + 9/21) hr

23/21 hr

She spent 23/21 of an hour driving going to the auto shop and then back home. The total distance she traveled was 30+30 = 60 miles.

Use these values to find the speed

r = d/t

r = d divided by t

r = 60 divided by (23/21)

r = (60/1) divided by (23/21)

r = (60/1) * (21/23)

r = (60*21)/(1*23)

r = 1260/23

r = 54.7826

Her average speed for the round trip is about 54.7826 mph.

7 0
3 years ago
Elizabeth brought a box of donuts to share. There are​ two-dozen (24) donuts in the​ box, all identical in​ size, shape, and col
Wewaii [24]
This is a probability problem with two dependent events and conditional probability. Note that after the first donut is chosen, it is not replaced into the data set, so only 23 donuts remain. If we set A=selection of a lemon-filled, and B=selection of a custard-filled, then P(A and B) = P(A)*P(B|A), where P(B|A) means the probability of B happening given that A has already occurred.P(A) = 8/24 = 1/3 = 0.333333P(B|A) = 12/23 = 0.521739P(A and B) = 1/3(12/23) = 12/69 = 0.1739130435 or 17.4%

https://www.wyzant.com/resources/answers/296921/find_the_probability_of_selecting_a_a_lemon_filled_d...
4 0
3 years ago
Ten individuals are candidates for a committee. Two will be selected. How many different pairs of individuals can be selected?
Nina [5.8K]

Answer:

45

Step-by-step explanation:

The different pairs of individual can be computed using rule of combination.

The combination is denotes as nCr.

nCr=n!/(r!(n-r)!)

In the given problem n=total candidates=10 and r= Selected candidates=2.

10C2=10!/(2!(10-2)!)

10C2=10*9*8!/(2!8!)

10C2=90/2

10C2=45

So, 45 different pairs of individuals can be selected.

6 0
2 years ago
Read 2 more answers
Which ordered pair below is a solution to the following system of equations?
KatRina [158]

The solution of the equation is given by (-2,-1), This is represented by option C.

<h3>What is a System of Equations?</h3>

A system of equations is a set of equation that have a common solution.

The solution of the equations can be determined by using the Elimination and Substitution method

3x-5y = -1

2x-y = -3

-7x = 14

x = -2

Substituting this value in the equation

3 * (-2) -5y = -1

-6 -5y = -1

-5y = 5

y = -1

Therefore, the solution of the equation is given by (-2,-1), This is represented by option C.

To know more about System of Equations

brainly.com/question/12895249

#SPJ1

3 0
1 year ago
PLSSSS HELPPPPPP I WIIILLLL GIVEEE BRAINLIEST!!!!!! PLSSSS HELPPPPPP I WIIILLLL GIVEEE BRAINLIEST!!!!!!
koban [17]

Answer:

X<-19

Step-by-step explanation:

5x + 23 < 4 + 4x \\ 5x - 4x  < 4 - 23 \\ x <  - 19

8 0
3 years ago
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