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barxatty [35]
2 years ago
9

Jackie drives 160 miles from Gary, Indiana to Indianapolis, Indiana in 2 1/2 hours. At that rate, how long would it take her to

drive from Gary to Detroit, Michigan, which is a distance of 240 miles?
Mathematics
1 answer:
Alinara [238K]2 years ago
5 0

Answer:

3.75 hours

Step-by-step explanation:

Given data

DIstance driven from Gary, Indiana to Indianapolis= 160 mile

Time taken= 2 1/2 hours or 2.5 hours

Speed= distance/time

Speed= 160/2.5

Speed= 64 miles per hours

We want to find the time it will take to drive 240 miles at the same speed

Time= distance/speed

Time= 240/64

Time= 3.75 hours

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A circular swimming pool has a diameter of 40 meters. The depth of the pool is constant along west-east lines and increases line
Nataliya [291]

Answer:

Volume is 2000\pi\ m^{3}

Solution:

As per the question:

Diameter, d = 40 m

Radius, r = 20 m

Now,

From north to south, we consider this vertical distance as 'y' and height, h varies linearly as a function of y:

iff

h(y) = cy + d

Then

when y = 1 m

h(- 20) = 1 m

1 = c.(- 20) + d = - 20c + d              (1)

when y = 9 m

h(20) = 9 m

9 = c.20 + d = 20c + d                  (2)

Adding eqn (1) and (2)

d = 5 m

Using d = 5 in eqn (2), we get:

c = \frac{1}{5}

Therefore,

h(y) = \frac{1}{5}y + 5

Now, the Volume of the pool is given by:

V = \int h(y)dA

where

A = r\theta

A = rdr\ d\theta

Thus

V = \int (\frac{1}{5}y + 5)dA

V = \int_{0}^{2\pi}\int_{0}^{20} (\frac{1}{5}rsin\theta + 5) rdr\ d\theta

V = \int_{0}^{2\pi}\int_{0}^{20} (\frac{1}{5}r^{2}sin\theta + 5r}) dr\ d\theta

V = \int_{0}^{2\pi} (\frac{1}{15}20^{3}sin\theta + 1000) d\theta

V = [- 533.33cos\theta + 1000\theta]_{0}^{2\pi}

V = 0 + 2\pi \times 1000 = 2000\pi\ m^{3}

7 0
3 years ago
12 POINTS PLEASE HELP
Elina [12.6K]

Answer: Supplementary angles have a sum of 180 degrees so you would subtract 79 from 180 to determine the value of its supplement which would be 101 degrees

While complementary angles have a sum of 80 degrees. So you would subtract 59 from 80 and that leaves you with 21, so the complement angle is equal to 21 degrees

Step-by-step explanation:

8 0
3 years ago
The number of ways in which 4 squares can be chosen at random on a chess board such that they lie on a diagonal line?.
wariber [46]

The number of ways is 364 if the number of ways in which 4 squares can be chosen at random.

<h3>What are permutation and combination?</h3>

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

It is given that:

On a chessboard, four squares are randomly selected so that they are adjacent to each other and form a diagonal:

The required number of ways:

= 2(2[C(4, 4) + C(5, 4) + C(6, 4) + C(7, 4)] + C(8, 4))

= 2[2[ 1 + 5 + 15+35] + 70]

= 364

Thus, the number of ways is 364 if the number of ways in which 4 squares can be chosen at random.

Learn more about permutation and combination here:

brainly.com/question/2295036

#SPJ4

5 0
1 year ago
A boogie board that has a regular price of $69 is on sale at a 35% discount. What is the sale price with a 7% tax?
san4es73 [151]
You take 69 * 0.35 and then take that total (24.15) so 60-24.15= 35.85 then to find the tax take 35.85*.07=2.51 so your answer is 35.85+2.51=38.36
5 0
3 years ago
The points earned by each choir team during the All-State Competition are as follows:
gavmur [86]
130.1 because 1 rounds down to 0 it isn't over 5
8 0
2 years ago
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