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bezimeni [28]
3 years ago
12

The length of the base of a triangle is twice its height. if the area of the triangle is 44 square​ kilometers, find the height

Mathematics
1 answer:
xeze [42]3 years ago
3 0
Let
x
be the height of the triangle.

Formular for area of Triangle
= ½ × base × height






thus,
{ \frac{1}{2} }(2x)(x)=44\ kilometers^2

Simplifying
x^2=44\ kilometers^2 \\\\ x= \sqrt{ 44 } \\\\ x=6.63\ kilometers
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There are officially two people aboard the space station
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A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, t
xxMikexx [17]
If we let
x as the distance traveled by the boat
y as the distance between the boat and the lighthouse.

Then, we have:
tan 18°33' = 200 / (x + y)
and
tan 51°33' = 200 / y

Solving for y in the second equation:
y = 200 / tan 51°33'

Rearranging the first equation and substituting y
x = 200 / tan 18°33' - 200 / tan 55°33'
x = 458.81 ft

Therefore, the boat traveled 458.81 ft before it stopped.
5 0
3 years ago
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Terry is filling spherical water balloons with a faucet that puts out 100 cm^3 of water per second. At least rate, it takes Terr
stiv31 [10]

Answer:

its 5 cm

Step-by-step explanation:

its what I got off of Khan

7 0
3 years ago
John is parasailing 350 ft away from the boat that pulls him. suppose he is lifted 400 feet into the air. Find the length of the
ohaa [14]
John
| \
| \
|. \
|. \
(a)400ft
|. \
|. \
|. \(c) length of rope
|. \
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|____________________Boat
350 ft (b)

Pythagorean theorem
a-squared + b-squared = c-squared
400-squared + 350-squared = c-squared
160,000 + 122,500 = c- squared
282,500 = c-squared
Now take the square root of each side of the equation
531.5 = c
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7 0
3 years ago
14. MULTIPLE CHOICE The number of students in the marching band increased from 100 to 125. What is the percent of increase? (Ski
slamgirl [31]

The percentage of the increase will be 25% when the number of students in the marching band increased from 100 to 125.

<h3>What is the percentage?</h3>

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

It is given in the question that the number of students in the marching band increased from 100 to 125 so we need to find the percentage increase of the students.

The percentage increase of the students will be calculated as:-

% increase=[(125-100)÷(100)]x100

% increase=[(25)÷(100)]x100

% increase= [0.25x100]

% increase= 25%

Hence the percentage of the increase will be 25% when the number of students in the marching band increased from 100 to 125.

To know more about percentages follow

brainly.com/question/24304697

#SPJ1

6 0
2 years ago
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