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Sophie [7]
2 years ago
11

A straight road to the top of a hill is 2500 feet long and makes an angle of 12° with the horizontal. Find the height of the hil

l. Round to the nearest foot.
Mathematics
1 answer:
Sati [7]2 years ago
4 0

Answer:

520 ft

Step-by-step explanation:

A straight road to the top of a hill is 2500 feet long and makes an angle of 12 degrees with the horizontal. Find the height of the hill.

base angle = 12 deg

hypotenuse = 2500

----

 

height = 2500*sin(12) = 519.78 ft

Do 520 ft if rounded

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Paul went on a bike ride of 30 miles. He realized that if he had gone 8 mph faster, he would have arrived 12 hours sooner. How f
lara [203]

Answer: He actually rode 2 miles per hour on his trip

Step-by-step explanation: Maybe unconventional, but express the time it took, then figure the speed.

Time  = distance /speed  t will represent time, s is the speed:  t = 30/s Use the rime it would have taken at the higher speed to create an equation:

t-12 = 30/s+8   replace the y with the 30/s

30/s -12 = 30/s+8

(s)(30/s -12 ) = (s)(30/s+8 )  Cross multiply to cancel denominators  

(s-8)(30 -12s) = (s-8)(30s/s+8 ) ==> 30s +240 -12s² -96s =30s   Simplify:  

(-1)(-12s² -96s +240 ) =0 ==>  12s² +96s -240  divide all by 12

s² + 8s -20 = 0   Factor and solve for s

(s +10)(s -2) =0    s-2=0   S= 2  

Proof:

30/2 = 15 hours for original trip at 2mph,  

increase speed by 8mph   2 + 8 = 10mph

30 miles at 10mph takes 3 hours; that is 12 hours less than his actual trip.

(Brainilest, please :-)

4 0
3 years ago
Write 50/6 as a mixed number. Give your answer in its simplest form.
DochEvi [55]

Answer:

8 1/3

Step-by-step explanation:

Step 1: Simplify

50/6 = 8 2/6

Step 2: Simplify fraction

2/6 = 1/3

Step 3: Add it up

8 1/3

5 0
3 years ago
Read 2 more answers
What is the measure of A?<br> (3y + 27)<br> What is the measure of B?<br> (5y - 3)
user100 [1]

Answer:

y=15

Step-by-step explanation:

3y+27=5y-3

27=2y-3

30=2y

y=15

Thats assuming A and B are equal ^

Hope this helps :)

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3 years ago
What is average of 46.66% and 60%
chubhunter [2.5K]
The average for the 2 percents added together is 0.5333 I believe this is the answer. And to double check look up average percentage calculator and Average Calculator - Omni will pop up and use that calculator to be sure. Hope this helped.
5 0
3 years ago
Find the mean and the median of this data set: 8, 6, 6, 3, 55, 7, 5, 2. The mean is and the median is .
Sonja [21]

Answer:

Mean:  11.5  Median:  6

Step-by-step explanation:

For the mean find the average by adding all of the numbers up and dividing by the number of numbers in the set.

For the median arrange the numbers in order of least to greatest then find the middle number if there is two add them together and divide by two.

7 0
3 years ago
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