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LUCKY_DIMON [66]
3 years ago
6

A person is looking from a car to the top of a building. The angle of elevation to the top of the building from the car

Mathematics
1 answer:
MrRa [10]3 years ago
4 0

Answer:124.29ft (approximately 125ft)

Step-by-step explanation:

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Fabio is driving west away from Albany and towards buffalo along interstate 90 at a constant rate of speed of 62 miles per hour.
emmasim [6.3K]

Answer:

The distance between Albany and Buffalo along the I90 is 288.8 mi.

The speed of Fabio is 62 mph.

After 1.5 hours, he is 221 miles from Albany.

Things we can calculate here:

Using the relation:

Distance = time*speed.

We can calculate the number of miles that he moved in that 1.5 hours.

D = 62mph*1.5h = 93mi.

If after 1.5 hours, he was 221 miles Albany, then before that he was 93 miles closer to Albany.

His initial position was:

221 - 93 = 128 miles away from Albany.

Now we also can calculate the time left to arrive at Buffalo.

We know that the distance between Albany and Buffalo is 288.8 mi

And he is 221 mi away from Albany.

Then the distance left to Buffalo is:

288.8mi - 221mi = 67.8mi

And the time left will be:

Distance/speed = time

67.8mi/62mph = 1.1 hours.

He needs to drive for another 1.1 hours to get to Buffalo.

7 0
3 years ago
14
Sveta_85 [38]

Answer:

Money spend on drink  = £ 609

Step-by-step explanation:

Food : drink = 29 : 3

Money spend on food = 29x

Money spend on drink = 3x

Total money spend = 29x + 3x = 32x

32x = £6496

   x = 6496/32

  x = £ 203

Money spend on drink = 3x = 3 * 203 = £ 609

6 0
3 years ago
Read 2 more answers
The square of a positive number is 24 more than 5 times a number. What is the value of the number?
satela [25.4K]
First, let's construct an algebraic equation to formally find the answer:

Let x represent (the value of) the unknown number. 

x²= 5x + 24 --- This equation shows that the (positive) number's square equals 24 more than 5 times the number.

Now we can solve for x (the number):

                 x² = 5x + 24
  x² - 5x - 24 = 0
(x + 3)(x - 8) = 0
                   x =  -3, 8

Therefore, this means that x (the number ) can be either -3 OR 8. Both will satisfy the description.
Hope this helps!
4 0
3 years ago
Read 2 more answers
What is the probability that you will fail a test (pass or fail), draw a red ace, and then roll a 6?
andrey2020 [161]

Answer:

<u>0.7890176%</u>

Step-by-step explanation:

First, there is a 64% chance of failing a test.

Then there are 54 cards in a deck. There are two colors, red and black. There are two red aces and two black aces. You have a 50% chance that the card is red. Then there are 27 cards of each color. Since there are 2 aces in those 27, there is a 2/27 or ~7.4%.

Lastly there are 6 sides on a die. Each side has the same chance of landing. So this gets you 16.66%

Now we need to multiply each chance of something happening by one another

64% × 7.4% = 0.04736%

4.736% × 16.66% = 0.7890176%

So there is a 0.7890176% of all of these happening

6 0
3 years ago
What expression is equivalent to 2(x-4)+x
malfutka [58]

Step-by-step explanation:

2(x-4) + x

= 2x-8 + x

= 3x - 7

5 0
3 years ago
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