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Delicious77 [7]
3 years ago
6

What is the area of a 120 degree sector of a circle with the radius of 15 cm? Round to the nearest square cm.

Mathematics
1 answer:
Delvig [45]3 years ago
8 0

Answer:

236 cm^2

Step-by-step explanation:

Formula

Area = sector angle/360 * pi * r^2

Givens

Sector angle = 120

r = 15

Solution

Area = 120/360  * 3.14 * 15 * 15

Area = 1/3 * 3.14 * 225

Area = 235.5

Area = 236 cm^2

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Can we predict how fast a tennis player can hit a serve from the playerâs height? The following computer output and scatterplot
olga_2 [115]

Complete question :

The computer output and scatter plot output pertaining to the question can be found in the attached picture.

Answer:

Kindly check explanation

Step-by-step explanation:

A.) Relationship between height and fastest serve speed :

According to the scatterplot and Correlation Coefficient (R) value which can be obtauned by getting the square root of R²

R = √27.7%

R = 0.5263 = 52.63% ; this depicts a fairly strong positive correlation or relationship between height and fastest serve speed

B.)

Equation of least square regression line :

From the computer output and scatter plot above :

Recall :

y = mx + c

y =predicted variable (s fastest serve)

m= slope

x = predictor variable (height)

c = intercept

y = 84.98x + 68.81

C.) 27.7% of the variation in fastest speed can be explained by height while the remaining percentage is due to other variables

D.) fastest serve of tennis player with height 1.7m

y = 84.98x + 68.81

y = 84.98(1.7) + 68.81

y = 213.276km/hr

E.)

R = √27.7%

R = 0.5263 = 52.63% ; this depicts a fairly strong positive correlation or relationship between height and fastest serve speed

F.)

Height = 2.06m = x

y = 84.98(2.06) + 68.81

y = 243.8688 km/hr

Residual = Actual - predicted

Actual = 230 ; predicted = 243.8688

Residual = 230 - 243.8688

Residual = −13.8688

Hence, the model overestimated fastest serve speed of a 2.06 m tall player by −13.8688 km/hr

3 0
3 years ago
If a boat goes down stream 72 milesind upstream 60 miles in 6 hours, the rate of the river and the rate of the boat in still wat
andre [41]

Answer:

Speed of boat in still water = 11 miles per hour.

Step-by-step explanation:

Speed = distance / time

or

Distance= Speed * time

Let s be speed of the boat upstream and r be the speed of the river.

Then

Upstream speed=  s- r = 60/6= 10 miles per hour

Downstream speed= s+r= 72/6= 12 miles per hour

Therefore

s-r= 10--------- equation A

s+r= 12--------- equation B

Adding equation A and Eq. b

s-r= 10--------- equation A

<u>s+r= 12--------- equation B     </u>

<u>2s    = 22                             </u>

<u />

or

s= 22/2= 11 miles per hour.

Speed of boat in still water = 11 miles per hour.

3 0
2 years ago
When heated and metal barn creases in line from 1.25 m to 1.262 m calculate percentage increase the correct one decimal place. C
Misha Larkins [42]

Answer:

0.96%

Step-by-step explanation:

Well the easy way to do this is

1.262

- - - - - - - x 100 = 100.96%

1.25

( this is just saying, now the thing is 100.96% of it original size)

So now they are asking the increase, so just simply take

100.96 - 100

= 0.96%

4 0
2 years ago
To make sure the lobsters are cool but not frozen, you need to keep their temperature between 32 and 40 degrees Fahrenheit while
MaRussiya [10]

C=5/9(F-32) 5/9 =1.8 32-32= 0* 1.8 = 0 32F= 0Celsius 40-32=8* 14.4 40F= 14.4 CTemperature between 0-14 degrees Celsius

5 0
3 years ago
Can someone please help me on this one
likoan [24]

You know vertical Angles SRU and TRV are congruent.

You are given that Sides UR and VR are congruent.

You are given that Angles SUT and SVT are congruent.

An appropriate choice is the ASA postulate, since you have congruent angles with congruent sides in between.

4 0
3 years ago
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