4 weeks because he takes 4 every week
Answer:
48
Step-by-step explanation:
48
Let the tens digit be x.
Hence, the units digit will be 2x
Number =10×(x)+(2x)=12x
When 36 is added to the number, the new number formed =12x+36
As the digits are reversed, we can also write the new number as 10×(2x)+x=21x
Hence,
12x+36=10×(2x)+x
⇒12x+36=21x
⇒21x−12x=36
⇒9x=36
⇒x=4
Hence, the original number =12x=12×4=48
9514 1404 393
Answer:
2 1/2 feet
Step-by-step explanation:
The Pythagorean theorem is not useful in this problem.
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If you reflect the triangle over the vertical line, you find that line to be the altitude of an equilateral triangle. That is, all of the vertex angles are 60°.
The base of that equilateral triangle is necessarily twice the length of the base of the triangle shown. All sides of the equilateral triangle are the same length, so all are 5 ft. The base of the triangle shown is half that.
The base (short leg) of the triangle shown is 2 1/2 feet.
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Since angles are given, this can be solved using trigonometry. The short leg will be (5 ft)·cos(60°) = (5 ft)(0.5) = 2.5 ft. (The cosine of 60° is one of the few exact rational values of trig functions of exact angles measured in degrees.)
Answer:
x = (y - 4)/7
Step-by-step explanation:
Subtract 4 from both sides to get:
y - 4 = 7x
Then, divide both sides by 7 to get:
(y - 4)/7 = x
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