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3 years ago

The radius of a circle with the given dimension being r=17cm

Mathematics

1 answer:

postnew [5]3 years ago

8 0

D=2r
17×2=34 cm. As a result, the diameter of the circle is 34 cm. Hope it help!

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Two sides of a triangle are 8cm and 12cm. Which of the following CANNOT be the measure of the third side,

blondinia [14]

Answer:

4 cannot be the measure of the third side. This is because of the Triangle Inequality Theorem, which states that the sum of two sides of a triangle must be greater than the third side (A+B>C, A+C>B, B+C>A) In this example, if side C were 4, side C (4) plus side A (8) would be 12. Since side B is 12, and 12 cannot be greater than 12, 4 would not work.

Answer=8

Step-by-step explanation:

7 0

3 years ago

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A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the

kolbaska11 [484]

Answer:

Volume of cylinder = $\pi r^2h$

Step-by-step explanation:

Given : A cylinder fits inside a square prism.

To find : The volume of cylinder

Solution : Refer the attached graph.

Area of circle = $\pi r^2$

Area of square = $s^2$

Side of square = diameter of circle= $D^2$

Diameter = 2r

∴ Area of square= $2r^2=4r^2$

$\frac{Area of circle}{Area of Square}=\frac{\pi r^2}{4r^2}=\frac{\pi}{4}$

Area of circle is $\frac{\pi }{4}$ of area of square.

Volume is always = area × height

Volume of prism = Area of square × h = $4r^2h$

Volume of cylinder = Area of circle × h = $\pi r^2h$

Now, rate

$\frac{Volume of cylinder}{Volume of prism}=\frac{\pi r^2h}{4r^2h}=\frac{\pi}{4}$

⇒Volume of cylinder is $\frac{\pi }{4}$ of Volume of prism.

Volume of Cylinder = $\frac{\pi }{4}\times Volume of prism$

Volume of cylinder = $\frac{\pi }{4}\times 4r^2h$

Volume of cylinder = $\pi r^2h$

6 0

3 years ago

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(x, y) ----> (x + 2, y - 3) please help this is my final

ipn [44]

slide right 2 and down 3

OPTION B is the correct answer.

7 0

3 years ago

Connie Harris, in charge of office supplies at First Capital Mortgage Corp., would like to predict the quantity of paper used in

Amiraneli [1.4K]

Answer:

y = 0.325X + 7.5 ;

21.5 ;

R^2 = 0.7655 ;

r = 0.8749

Step-by-step explanation:

No. of loans originated ____ sheets of p/paper

45 ______________22

25 ______________ 13

50 _____________ 24

60 _____________ 25

40 _____________ 21

25 _____________ 16

35 _____________ 18

40 _____________ 25

Using the linear regression calculator : the linear model obtained is:

y = 0.325X + 7.5

y = predicted variable = sheets of photocopy paper

X = number of loans originated

0.325 = slope

Intercept = 7.5

B.)

X = 42

y = 0.325(42) + 7.5

y = 21.15

C.)

The Coefficient of determination as determined using the correlation coefficient calculator is :

R^2 = 0.7655 ; this means that about 76.55% of change in number of photocopy performed is explained by the number of loans originated.

D.) The correlation Coefficient (r) :

r = sqrt(R²)

r = sqrt(0.7655)

r = 0.8749

This shows that a strong positive correlation exists between the number of loans originated and the volume of photocopying done.

3 0

3 years ago

The cost to park a car in a parking lot is $3.45 per hour. Maleek parked his car for 4 hours on Monday,3 hours on Tuesday,and 2

ozzi

Answer:$31.05

Step-by-step explanation:

I added the hours then multiply by $3.45

5 0

3 years ago

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