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Marta_Voda [28]
3 years ago
12

LAW ENFORCEMENT: A police accident investigator can use the formula S=25L−−−√ to estimate the speed s of a car in miles per hour

based on the length l in feet of the skid marks it left. How fast was a car traveling that left skid marks 129 feet long?
Mathematics
1 answer:
Luda [366]3 years ago
5 0
The answer is 50.8 miles per hour.

The formula is s=2 \sqrt{5l}
If l = 129 feet, we will implement it in the formula:
s=2 \sqrt{5l} =2 \sqrt{5*129} =2 \sqrt{645}= 2*25.4=50.8

<span>Thus, the speed of the car that left skid marks 129 feet long was 50.8 miles per hour.</span>
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What is the mass of aluminum?
garik1379 [7]

Answer:

The mass of aluminum is 26.982 g/mol.

Step-by-step explanation:

The molar mass of an element is the mass in grams of 1 mole of the element. It is determined by taking the atomic weight of the element on the periodic table, and writing it as g/mol.

5 0
3 years ago
Find the area of the shaded region of the trapezoid.
myrzilka [38]

Answer:

B

Step-by-step explanation:

Area of Trapezoid

Area = (b1 + b2)*h/2

Area = (9 + 13)*11 /2

Area = (22) * 11/2

Area = 121 sqr. units.

Area of the unshaded triangle

Area = 1/2 b * h

Area = 1/2 9 * 11

area = 49.5

Area of the shaded region

Area = 121 - 49.5

Area = 71.5

B

6 0
3 years ago
Use the unit circle to evaluate these expressions:
sergeinik [125]

Answer:

a) We can remove the complete rotations around the unitary circle like this, because we know that one complete revolution is equivalent to 2\pi:

17 \pi/4 - 2\pi = \frac{9\pi}{4} -2\pi = \pi/4

For this case we know that sin (\pi/4) = \frac{\sqrt{2}}{2}

So then sin(\frac{17 \pi}{4}) = \frac{\sqrt{2}}{2}

b) We can remove the complete rotations around the unitary circle like this, because we know that one complete revolution is equivalent to 2\pi:

19 \pi/6 - 2\pi = \frac{7\pi}{6}

For this case we know that cos (\pi/6) = \frac{\sqrt{3}}{2}

And we know that \frac{7\pi}{6} is on the III quadrant since is equivalent to 210 degrees. And on the III quadrant the cosine is negative. So then cos(\frac{19 \pi}{6}) = -\frac{\sqrt{3}}{2}

c) For this case that any factor of \pi the sin function is equal to 0.

So from definition of tan we have this:

tan (450\pi) = \frac{sin(450 \pi)}{cos(450 \pi)}= \frac{0}{cos(450\pi)}= 0

Step-by-step explanation:

a. sin (17pi / 4 )

We can remove the complete rotations around the unitary circle like this, because we know that one complete revolution is equivalent to 2\pi:

17 \pi/4 - 2\pi = \frac{9\pi}{4} -2\pi = \pi/4

For this case we know that sin (\pi/4) = \frac{\sqrt{2}}{2}

So then sin(\frac{17 \pi}{4}) = \frac{\sqrt{2}}{2}

b. cos (19pi / 6 )

We can remove the complete rotations around the unitary circle like this, because we know that one complete revolution is equivalent to 2\pi:

19 \pi/6 - 2\pi = \frac{7\pi}{6}

For this case we know that cos (\pi/6) = \frac{\sqrt{3}}{2}

And we know that \frac{7\pi}{6} is on the III quadrant since is equivalent to 210 degrees. And on the III quadrant the cosine is negative. So then cos(\frac{19 \pi}{6}) = -\frac{\sqrt{3}}{2}

c. tan(450pi)

For this case that any factor of \pi the sin function is equal to 0.

So from definition of tan we have this:

tan (450\pi) = \frac{sin(450 \pi)}{cos(450 \pi)}= \frac{0}{cos(450\pi)}= 0

4 0
3 years ago
If n is the smallest of three consecutive integers, write an expression for the largest number.
Ronch [10]
N+2 because n is the smallest number
8 0
3 years ago
7.4D
Gnesinka [82]

Answer:

The answer is: 8%

Step-by-step explanation:

The shipping and handling fee of $35 was applied to the order or $437.50.

Divide the total by the shipping and handling fee:

35 / 437.50 = .08

Multiply by 100 to get percent:

.08 x 100 = 8%

6 0
4 years ago
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