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balu736 [363]
3 years ago
11

Work out the area of this quarter circle of radius 8 cm. Give your answer in terms of pie

Mathematics
1 answer:
Bess [88]3 years ago
3 0

16pi

Step-by-step explanation:

pi x r² = ans ÷ 4 = Answer for area

Pi×8²=64pi ÷ 4 = 16pi

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Two lines are intersecting. What is the value of x? Enter your answer in the box. (x + 23) (2x + 4)° Help! Please!!!
Delicious77 [7]

Answer:

x = 51^o

Step-by-step explanation:

Given

Intersecting lines

Required

Find x

To do this, we make use of:

x + 23^o + 2x + 4^o = 180^o --- angle on a straight line

Collect like terms

x  + 2x = 180^o - 4^o - 23^o

3x = 153^o

Divide both sides by 3

x = 51^o

5 0
3 years ago
Today joelle walked at a rate of 3 miles per hour and she ran 15 minutes at a rate of 6 miles per hour.How many total miles did
svetoff [14.1K]
I added a screenshot with the complete question

<u><em>Answer:</em></u>
Total miles = 2.5 miles

<u><em>Explanation:</em></u>
<u>1- While walking:</u>
We are given that Joelle walked 20 minutes at a rate of 3 miles per hour.
This means that she walked \frac{20}{60} =  \frac{1}{3} of an hour at a rate of 3 miles per hour
The formula that relates distance, time and velocity is:
Distance = velocity * time
<u>Substitute with the givens to get the distance she covered while walking:</u>
Distance = 3 * \frac{1}{3} = 1 mile

<u>2- While running:</u>
We are given that Joelle ran 15 minutes at a rate of 6 miles per hour
This means that she ran \frac{15}{60} =  \frac{1}{4} of an hour at a rate of 6 miles per hour
The formula that relates distance, time and velocity is:
Distance = velocity * time
<u>Substitute with the givens to get the distance she covered while running:</u>
Distance = 6 * \frac{1}{4} = 1.5 miles

<u>3- getting the total mileage:</u>
Total distance she covered = distance while walking + distance while running
Total distance she covered = 1 + 1.5
Total distance she covered = 2.5 miles

Hope this helps :)

4 0
3 years ago
a line intersects the point (12,3) and has a slope of 4. what are the inputs to the point slope formula
astraxan [27]

Hey There,

The equation would be y = 4x - 45

Point slope formula

(y-y1)=m(x-x1)

Plug in the numbers

(y-3)=4(x-12)

Solve for y.

4 * x = 4x

4 * -12 = -48

Bring 3 to the other side (change the sign)

-48 +3 = 45

Therefore, the equation would be y = 4x - 45

4 0
3 years ago
Solve for n 20 &gt; -4x - 8
yan [13]

Answer:

x > -7

Step-by-step explanation:

20 + 8 > -4x

Simplify

28 > -4x

Divide both sides by 4

-28/4 < x

-7 < x

x > -7

5 0
3 years ago
Carole purchased 7/8 of a pound of chocolate chips to make cookies. On the way home from school she got hungry and ate 1/4 of th
AURORKA [14]
Answer is below..................

4 0
3 years ago
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