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uranmaximum [27]
3 years ago
9

The volume of a prism is 8000 mm3. What is the volume of this prism, measured in cm3?

Mathematics
1 answer:
Tema [17]3 years ago
7 0
1meter=1000milimeter
1meter=100centimeter
1000milimeter=100centimeter
1cm=10mm
1cm^3=1000mm^3
8000mm^3 * 1cm^3/(1000mm^3) = 8 cm^3
hopes this gains.
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The braking distance, in feet of a car a Travling at v miles per hour is given.
irakobra [83]

The braking distance is the distance the car travels before coming to a stop after the brakes are applied

a. The braking distances are as follows;

  • The braking distance at 25 mph, is approximately <u>63.7 ft.</u>
  • The braking distance at 55 mph,  is approximately <u>298.35 ft.</u>
  • The braking distance at 85 mph,  is approximately <u>708.92 ft.</u>

b. If the car takes 450 feet to brake, it was traveling with a speed of 98.211 ft./s

Reason:

The given function for the braking distance is D = 2.6 + v²/22

a. The braking distance if the car is going 25 mph is therefore;

25 mph = 36.66339 ft./s

D = 2.6 + \dfrac{36.66339^2}{22} = 63.7 \ ft.

At 25 mph, the braking distance is approximately <u>63.7 ft.</u>

At 55 mph, the braking distance is given as follows;

55 mph = 80.65945  ft.s

D = 2.6 + \dfrac{80.65945^2}{22} \approx 298.35 \ ft.

At 55 mph, the braking distance is approximately <u>298.35 ft.</u>

At 85 mph, the braking distance is given as follows;

85 mph = 124.6555 ft.s

D = 2.6 + \dfrac{124.6555^2}{22} \approx 708.92 \ ft.

At 85 mph, the braking distance is approximately <u>708.92 ft.</u>

b. The speed of the car when the braking distance is 450 feet is given as follows;

450 = 2.6 + \dfrac{v^2}{22}

v² = (450 - 2.6) × 22 = 9842.8

v = √(9842.2) ≈ 98.211 ft./s

The car was moving at v ≈ <u>98.211 ft./s</u>

Learn more here:

brainly.com/question/18591940

8 0
2 years ago
Lexie is making a scale drawing of a soccer field that is 120 yards long and 80 yards wide. If the field in Lexie’s drawing is 3
timurjin [86]

Answer:

  • <em><u>The field in Lexie's drawing should be 20 cm long.</u></em>

Explanation:

Making a scale drawing requires that the figure be similar, which implies that the sides of the figures be proportional.

The proportion for a drawing 30 cm wide and unknown length with the soccer field that is 120 yards long and 80 yards wide is:

  • length of the drawing / width of the drawing = length of the field / width of the field

Thus, using x for the unknown width of the drawing:

  • 30 cm / x = 120 yard / 80 yard

Thus, you must solve for x:

  • 30 cm × 80 yard = 120 yard × x

  • x = 30 cm × 80 yard / 120 yard = 20 cm.

Hence, the field in Lexie's drawing should be 20 cm long.

4 0
3 years ago
Paul can walk 15 steps in 5 minutes. How long does it take Paul to walk 75 steps at the same speed? I got 25 minutes am i right?
lina2011 [118]

The best way to solve this one is with a proportion:

     (15 steps) / (5 minutes) = (75 steps) / ('x' minutes)

Cross-multiply the proportion:    15 x = 5 x 75

Divide each side by 15  :                 x = 5 x 5 = <em>25 minutes</em>.

You are correct, and Paul walks very slowly.


3 0
3 years ago
Read 2 more answers
What does 3ˣ + 4·3ˣ⁺¹ =<br> a. 13·3ˣ⁺¹<br> b. 5·3ˣ⁺¹<br> c. 5·3²ˣ⁺¹<br> d. 13·3ˣ
Crazy boy [7]

Answer:

D. 13*3^x

Step-by-step explanation:

3^x +4*3^x^+^1= \\3^x+4*3(3^x)=\\3^x(1+[4*3])=\\3^x(1+12)=\\3^x(13)=\\13*3^x

3 0
3 years ago
A number is doubled and then the product is increased by 6. This sum is then multiplied by -3, and the result is 54 greater than
34kurt

Answer:

  • -24

Step-by-step explanation:

Let the number be x

<u>Then we have the equation</u>

  • (2x + 6)*(-3) = -3x + 54
  • -6x - 18 = -3x + 54
  • 6x - 3x = -18 - 54
  • 3x = -72
  • x = -72/3
  • x = - 24
8 0
3 years ago
Read 2 more answers
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