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2 years ago

6

What is the minimum force required to prevent a ball weighing 22.6 lb from rolling down a ramp which is inclined at 39.0 with th

e horizontal?

1 answer:

shusha [124]2 years ago

3 0

22.6sin[39.0]= 21.78

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PLEASE HELP ASAP !!

wariber [46]

Answer:

<u>First figure:</u> $954cm^3$

<u>Second figure:</u> $1,508yd^3$

<u>Third figure:</u>

Height= q
Side length = r

<u>Fourth figure: </u> $726cm^3$

Explanation:

<u></u>

<u>A. First figure:</u>

<u>1. Formula:</u>

$\text{Volume of a cylinder}=\pi \times radius^2\times length$

<u>2. Data:</u>

radius = 9cm / 2 = 4.5cm

length = 15 cm

<u>3. Substitute in the formula and compute:</u>

$Volume=\pi \times (4.5cm)^2\times (15cm)\approx 954cm^3\approx 954cm^3$

<u>B. Second figure</u>

<u>1. Formula: </u>

$\text{Volume of a leaned cylinder}=\pi \times radius^2\times height$

<u>2. Data:</u>

radius = 12yd

height = 40 yd

<u>3. Substitute and compute:</u>

$Volume=\pi \times (12yd)^2\times (40yd)\approx 1,507.96yd^3\approx 1,508yd^3$

<u></u>

<u>C) Third figure</u>

a) The<em> height </em>is the segment that goes vertically upward from the center of the <em>base</em> to the apex of the pyramid, i.e.<u> </u><u>q </u>.

The apex is the point where the three leaned edges intersect each other.

b) The side length is the measure of the edge of the base, i.e.<u> r </u><u> </u>.

When the base of the pyramid is a square the four edges of the base have the same side length.

<u>D) Fourth figure</u>

<u>1. Formula</u>

The volume of a square pyramide is one third the product of the area of the base (B) and the height H).

$Volume=(1/3)B\times H$

<u>2. Data: </u>

height: H = 18cm

side length of the base: 11 cm

<u>3. Calculations</u>

a) <u>Calculate the area of the base</u>.

The base is a square of side length equal to 11 cm:

$\text{Area of the base}=B=(11cm)^2=121cm^2$

b) <u>Volume of the pyramid</u>:

$Volume=(1/3)B\times H=(1/3)\times 121cm^2\times 18cm=726cm^3$

4 0

3 years ago

Read 2 more answers

What is thevmedian of starter repair cost if starters for four different vehicles 316,443,249 and 210

Leni [432]

Answer: 283

Step-by-step explanation:

To find the median, you have to first arrange the figures in the distribution in ascending order:

210, 249, 316, 443

As this is an even distribution, the Median will be found by adding up the second and third numbers and then dividing by 2:

= (249 + 316) / 2

= 283

7 0

2 years ago

6x+2y=<br> −10 <br> slope int form

valentinak56 [21]

Answer:

y = -3x -5

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercep

6x+2y = -10

Subtract 6x from each side

6x+2y -6x = -6x-10

2y = -6x-10

Divide each side by 2

2y/2 = -6x/2 -10/2

y = -3x -5

7 0

1 year ago

Read 2 more answers

There are 500 computers in an office building. The IT manager randomly chose 40 computers to be inspected for viruses. Of those

EastWind [94]

About 75 computers have a virus

3 0

2 years ago

Solve for j: J/-2+7=-12

Anestetic [448]

Answer:

J=38

Step-by-step explanation:

Subtract 7 to both sides so J/-2=-19

Then multiply -2 to both sides to get -19 times -2

That equals to 38

6 0

2 years ago