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Alex_Xolod [135]
2 years ago
6

Please explain and help me with this question.

Mathematics
1 answer:
k0ka [10]2 years ago
5 0

it is so easy

Step-by-step explanation:

can i help you

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The stopping distance d of an automobile is directly proportional to the square of its speed s. On one road, a car requires 75 f
Anton [14]

Answer:

The car requires 192 feet to stop from a speed of 48 miles per hour on the same road

Step-by-step explanation:

  • Direct proportion means that two quantities increase or decrease in the same ratio
  • If y is directly proportional to x (y ∝ x) , then \frac{y_{1}}{y_{2}}=\frac{x_{1}}{x_{2}}  <em>OR</em>  y = k x, where k is the constant of proportionality

∵ The stopping distance d of an automobile is directly

   proportional to the square of its speed s

- That means d ∝ s²

∴  \frac{d_{1}}{d_{2}}=\frac{(s_{1})^{2}}{(s_{2})^{2}}

∵ A car requires 75 feet to stop from a speed of 30 miles per hour

∴ d = 75 feet

∴ s = 30 miles/hour

- Change the mile to feet

∵ 1 mile = 5280 feet

∴ 30 miles/hour = 30 × 5280 = 158400 feet/hour

∵  The car require to stop from a speed of 48 miles per hour

    on the same road

- Change the mile to feet

∴ 48 miles/hour = 48 × 5280 = 253440 feet/hour

∵  \frac{d_{1}}{d_{2}}=\frac{(s_{1})^{2}}{(s_{2})^{2}}

- Substitute the values of d_{1} by 75 feet, s_{1} by 158400 feet/hour

   and s_{2} by 253440 feet/hour

∴ \frac{75}{d_{2}}=\frac{(158400)^{2}}{(253440)^{2}}

∴  \frac{75}{d_{2}}=\frac{25}{64}

- By using cross multiplication

∴ 25 × d_{2} = 75 × 64

- Divide both sides by 25

∴ d_{2}  = 192 feet

The car requires 192 feet to stop from a speed of 48 miles per hour on the same road

4 0
2 years ago
The area of a rectangle patio is 12-3/8 square meters. The width of the patio is 2-3/4 meters. What is the length?
Nitella [24]
Area=length x width
A=lw
A=12 3/8
l=x
w=2 3/4

first, make your mixed numbers into improper fractions
12 3/8 --> 99/8
2 3/4 --> 11/4

then, set equal denominators

99/8 and 22/8

99/8=22/8x --plug in values
99/22=x --divide both sides by 22/8

convert improper fraction to mixed number
99/22 --> 4 11/22 --> 4 1/2

therefore, the length is 4 1/2 meters
6 0
3 years ago
K=10t−19<br> Find the output, k, when the input, t is, -7.
aalyn [17]
K= 10(-7) -19
k= -70-19
k=-89
4 0
3 years ago
Please will give brainliest and thanks
VMariaS [17]

Answer:

-  \frac{6}{7}p +  \frac{1}{7}

Step-by-step explanation:

Get rid of the parenthesis then combine like terms

8 0
3 years ago
Evaluate the expression. 4–4÷2
n200080 [17]

Answer:

2.

Step-by-step explanation:

7 0
3 years ago
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