Can someone tell me what d is

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 63.7 ft.

The braking distance at 55 mph, is approximately 298.35 ft.

The braking distance at 85 mph, is approximately 708.92 ft.

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 63.7 ft.

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 298.35 ft.

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 708.92 ft.

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 ≈ 98.211 ft./s

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2 years ago

Triangle angle- sum theorem help!!!

PIT_PIT [208]

Answer:

222555413`125431534

Step-by-step explanation:

8 0

3 years ago

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Can I please get help with this ? Thank you

Amiraneli [1.4K]

Answer:

$2.25268983 * 10^{103}$

Step-by-step explanation:

The upside down exclamation point(¡) denotes the subfactorial in math. There are two ways to approach solving the subfactorial, one being exact, while the other is a more practical approach.

One way (the mathematically correct way) is using the formula:

n=n!∑[(-1)^k]/k!, where k starts at 0 and counts to n.

However, another, less accurate way is simply ¡n = [n!/e], where the brackets mean to round to the nearest integer, which returns 2.25268983 * 10^(103)

Hope it helps :) and let me know if you want me to elaborate, or if the notation used was intended to be something else, as the subfactorial of 72 seems like an unnecessary amount of tedium.

5 0

2 years ago

Read 2 more answers

Please help and explain how you did it

jenyasd209 [6]

To determine the lengths of the sides from shortest to longest, you need to calculate the corresponding angles. The higher angles will correspond to longer sides.

To find the angles, you have to solve for x. You’re already given that angle A is 76. To find the others, you know that angle C is 180-(16x+16) since it’s supplemental to the exterior angle. Then, you know the sum of the angles of the entire triangle is 180, so add up A, B, and C

A+B+C=180
76+6x+(180-16x-16)=180
240-10x=180
-10x=-60
x=6

So to find angle B, you use 6x or 6(6)=36.

To find angle C, you use 180-(16x-16) or 180-16(6)-16=68

So now match up the angles with their corresponding sides to find the length from shortest to longest.

Angle A (76) corresponds with BC
Angle B (36) corresponds with AC
Angle C (68) corresponds with AB

Again, the higher the degree, the longer the corresponding side, so AC is shortest, AB is next, and BC is the longest.

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3 years ago

Someone help please math homework

Sergeeva-Olga [200]

9. (x + 12)(x + 5)

10. (x + 4)(x + 10)

11. (x - 13)(x + 6)

12. (x + 11)(x - 7)

15. (x - 15)(x + 7)

16. (x - 7)(x + 7)

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3 years ago