First we write the mathematical model in a generic way:
"The stopping distance of an automobile is directly proportional to the square of its speed v"
d = kv ^ 2
Where,
k: proportionality constant.
We now look for the value of K:
d = kv ^ 2
90 = k ((70) * (5280/3600)) ^ 2
k = 90 / ((70) * (5280/3600)) ^ 2
k = 0.008538539 s ^ 2 / feet
The equation will then be:
d = (0.008538539) * v ^ 2
For v = 71 miles per hour we have:
d = (0.008538539) * ((71) * (5280/3600)) ^ 2
d = 92.6 feet
Answer:
a mathematical model that gives the stopping distance in terms of its speed v is:
d = (0.008538539) * v ^ 2
The stopping distance if the brakes are applied when the car is traveling at 71 miles per hour is:
d = 92.6 feet
Answer:
<em>Jomo Kenyatta</em>
Step-by-step explanation:
Jomo Kenyatta was a Kenyan politician, who was one of the first African anti-colonial figures. He became the prime minister of Kenya from 1963 to 1964, and after Kenyan independence in 1964, he became president of Kenya. <em>Jomo Kenyatta was born into a family of Kikuyu farmers in Kiambu, present day Kenya which was then, British East Africa.</em> He had his basic schooling in a missionary school before proceeding to study at Moscow's Communist University of the Toilers of the East, University College London, and the London School of Economics.
Answer:
5/3
Step-by-step explanation:
1) The denominator will be multiply to the whole number to find the improper fraction. 3 (denominator) x 1 (whole number)
2) 1 plus 2 (numerator) equal 5
3) Always keep the denominator (3) for you improper fraction.
4) 5 will be the numerator and 3 will be the denominator.
5/3
Answer:
Divide 3/4 by 3/5 to get 1 1/4.
Step-by-step explanation:
<em>To find area, you multiply the length by the width. However, they gave you the area and the width. Therefore, you divide the width by the area (I think).</em>
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<em>3/4 divided by 3/5 = 1 1/4</em>
The length is 1 1/4.
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Step-by-step explanation:
Let ABCD be a rhombus. So, AC (AC = 14 cm) and BD (BD=48 cm) will be its diagonals. Let us assume that diagonals are intersecting at point O.
Since, diagonals of a rhombus are perpendicular bisector.
Hence, length of a side (or all) is 25 cm.