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soldi70 [24.7K]

2 years ago

8

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

1 answer:

Sav [38]2 years ago

7 0

Answer: slope = 6/15

Step-by-step explanation:

▪︎ Slope = rise / run

▪︎ Rise = y2 - y1

▪︎ Run = x2 - x1

☆ Two points: (-7, -2) and (8, 4)

=> Rise = 4 - (-2) = 4 + 2 = 6

=> Run = 8 - (-7) = 8 + 7 = 15

=> Slope = 6/15

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Solve the simultaneous equations j-k= 2 and j2 + 2k=8. Give the answer in three decimal places.

Vika [28.1K]

Answer:

Step-by-step explanation:

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here is an solution :

4 0

3 years ago

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Paul is spreading grass seed on an area of his lawn that is 10 feet wide and 12 feet long.

Alex17521 [72]

Answer:

8 bags, but will have some extra.

Step-by-step explanation:

The area of the lawn is 120 square feet, and 15 x 8 =124.

5 0

3 years ago

klasskru [66]

Answer:

16 times

Step-by-step explanation:

$\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

If only the radius is changed, the change in volume will be proportionate to the multiplicative factor squared.

$\sf \implies Volume =\dfrac{1}{3} \pi (ar)^2h=\dfrac{1}{3} \pi (a^2)r^2h$

Therefore, if the cone is quadrupled (multiplied by 4), the volume of the larger cone will be 4² times greater than the volume of the smaller cone, so <u>16 times greater </u>than the smaller cone.

<h3><u>Proof</u></h3>

Given:

radius = 6
height = 9

Substituting the given values into the formula:

$\sf \implies Volume =\dfrac{1}{3} \pi (6)^2(9)=108 \pi \: \:cubic\:units$

If the radius is quadrupled:

radius = 6 × 4 = 24
height = 9

Substituting the new given values into the formula:

$\sf \implies Volume =\dfrac{1}{3} \pi (24)^2(9)=1728 \pi \: \:cubic\:units$

To find the number of times greater the volume of the large cone is than the volume of the smaller cone, divide their volumes:

$\sf \implies \dfrac{V_{large}}{V_{small}}=\dfrac{1728\pi}{108\pi}=16$

So the volume of the larger cone is <u>16 times greater</u> than the volume of the smaller cone.

4 0

2 years ago

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What is 19/5 as a mixed number?

Dvinal [7]

Answer:

3 4/5

Step-by-step explanation:

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3 0

3 years ago

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A motorcar is running at the rate of 66 km per hour. Each

amm1812

Answer:

Given:

The radius of a wheel =r=35 cm=0.35 cm.

The speed it must keep =s=66 km/h=

60

66×1000

m/min=1100 m/min

To find out:

The number of revolution =n, it makes per minute to maintain that speed.

Solution:

The circumference =C of the wheel =2πr=2×

7

22

×0.35 m=2.2 m=C

The distance the wheel covers in 1 min=d=1100 m.

Now the distance =d covered by a wheel in one revolution = the circumference of the wheel.

∴ Here the number of revolution =n=

C

d

=

2.2

1100

=500.

3 0

3 years ago