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Ilia_Sergeevich [38]
3 years ago
14

In an origami class, the instructor tells the students to cut a square that has an area of 24 square inches. Kevin cuts a square

with a side length of 4.80 inches. Which statement is true?
A.
The side length of the square Kevin cuts is exactly the same as the length the instructor required.
B.
The side length of the square Kevin cuts is slightly less than the length the instructor required.
C.
The side length of the square Kevin cuts is slightly more than the length the instructor required.
D.
The side length of the square Kevin cuts is far more than the length the instructor required.
Mathematics
1 answer:
rodikova [14]3 years ago
7 0
The answer is
The side length of the square Kevin cuts is slightly less than the length the instructor required
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Step-by-step explanation:

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A boat is 122 meters from the base of a lighthouse. The lighthouse is 34 meters tall. The angle formed with the lighthouse and s
mojhsa [17]

Answer:

about 16°

Step-by-step explanation:

Make sure your calculator is in degree mode.

Drawing the right triangle, we see that the shorter leg is 34 meters, and the longer leg is 122 meters. So the angle of elevation is:

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2 years ago
In 1995, Hazel was 25 years older than her son Gary. In 2022, Hazel's age will be 150% of Gary's age. How old were they in 1995?
Kitty [74]
So find the difference between 1995 and 2022 to make it easier
2022-1995=27

so the rephrased question is
when hazel was x years old, she was 25 years older than son gary who was y old at that time (equation is x is 25 more than y or x=25+y)
in 27 years, (this means x+27 and y+27) hazel's age will be 150% of gary's age (x+27= 150% of y+27)
percent means parts out of 100  so 150%=150/100=15/10=1.5
'of' in math means multiply so
the equations are
x=25+y
x+27=1.5(y+27)
subsitute 25+y for x in second euation
25+y+27=1.5(y+27)
add like terms
y+52=1.5(y+27)
I personally dislike decimals to multiply both sides by 2 to make 2 0.5's or 1 (you are technically supposed to distribute or divide both sides by 1.5) so
2y+104=3(y+27)
distribute
2y+104=3y+81
subtract 2y from both sides
104=y+81
subtract 81 from both sides
23=y
subsitute
x=25+y
x=25+23
x=48


Hazel was 48 and Gary was 23 in the year of 1995
5 0
3 years ago
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