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arsen [322]
3 years ago
15

A student five and a half feet tall stands opposite of a mirror from a flagpole. The distance between the student and the mirror

is 6 feet and the distance from the mirror to the flagpole is 14 feet. What is the height of the flagpole?​
Mathematics
2 answers:
Delicious77 [7]3 years ago
8 0
You have decided to go camping with some friends. While out on a hike, you reach the top of a ridge and look down at the trail behind you. In the distance, you can see your camp. You're thinking about how far you've traveled, and wonder if there is a way to determine it.


By using a small device called a clinometer, you're able to measure the angle between your horizontal line of sight and the camp as 37∘, and you know that the hill you just hiked up has a height of 300 m. Is it possible to find out how far away your camp is using this information? (Assume that the trail you hiked is slanted like the side of a triangle.)
shusha [124]3 years ago
7 0

Answer:

Step-by-step explanation:

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Find the values for x and y.
vivado [14]
Both sides need to equal 180 (The side with the 90 degrees measurement and the side with equations). So first subtract 180 from 90
180 - 90
to get the measurement of 5x and you get 90 but we aren't done yet since we need to find x so now we need to divide 5 by 90
90 \div 5 = 18
and we get 18 which is X.
x = 18
Now we need to find the measurement of Y. Now both angles on that side together equals 180 so we need this equation.
5(y + 11) + 4y - 10 = 180
First, distribute 5(y + 11)
5 \times y \\ 5 \times 11
Then you get this equation :
5y + 55 + 4y - 10 = 180
Now, add the two equations together
5y + 55 + 4y - 10
and you get this equation

9y + 45 = 180
Now subtract 45 from both sides
9y + 45 - 45 = 180 - 45
and divide by 9 on both sides
9y \div 9 = 135 \div 9
and you get your answer
y = 15

So
x = 18
and
y = 15
8 0
3 years ago
Mr. Gonzales has only $42.50 to spend at a clothing store. He wants to buy a shirt that costs $29, including tax, and some brace
lisabon 2012 [21]

Answer: The equation is $29 + x*$4.50 = $42.50, and the solution is x = 3

Step-by-step explanation:

The data we have is:

Gonzales has $42.50

He wants to buy:

a shirt that costs $29

some bracelets that cost $4.50 each.

The equation that we need to solve is:

Total cost = money that Gonzales has.

The cost is $29 + x*$4.50

where x is the number of bracelets he can buy.

The equation that we need to solve is:

$29 + x*$4.50 = $42.50

to solve it we must isolate x:

x*$4.50 = $42.50 - $29 = $13.50

x = 13.50/4.50 = 3

So we have that Mr. Gonzales can buy a total of 3 bracelets.

8 0
3 years ago
Read 2 more answers
Cole drew a rectangle that is 3 meters by 10 meters. It has an area of 30 square meters and a perimeter of 26 meters. Which rect
cricket20 [7]
A rectangle with 8x5 dimensions
5 0
3 years ago
Read 2 more answers
Challenger Elementary School has 8 0 0 800800 students. Every Wednesday, 1 2 % 12%12, percent of the students stay after school
Juliette [100K]
You need to calculate 12% of 800.

To find a percent of a number, multiply the percent by the number.
Change the percent into a decimal by dividing the percent by 100 (move the decimal point of the percent two places to the left.)

12% of 800 =

= 12% * 800

= 0.12 * 800

= 96

Answer: 96 students
6 0
3 years ago
Jefferson middle school is selling tickets to a choral performance. On the first day of ticket sells they sold 4 adult tickets a
scoundrel [369]

Answer:

Adult is $12 and child is $7

Step-by-step explanation:

Adult=x and Children=y

first day: 4x+1y=55

second: 3x+2y=50

Get one letter the same but opposite

(4x+1y=55) times that by -2

-8x+-2y=110

3x+2y=50

minus all of that u get

-5x=60

divide 60 by 5

x=12

fill in X

3(12)+2y=50

36+2y=50

-36       -36

2y=14

/2    /2

y=7

6 0
3 years ago
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