3 years ago

Mrs. Ibarra wants to create a right triangle for a geometry test. She plans to use 15, 36, and 41 as side lengths.

Mathematics

1 answer:

barxatty [35]3 years ago

6 0

Answer: A, C, D and E

Step-by-step explanation:

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This month, Tony worked four hours more than twice the number of hours, h, he worked last month. What expression represents the

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B. 2h+4
"Worked four hours MORE"
More symbolizes addition
"TWICE the number of hours"
Twice means multiple by two - two times a number

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3 years ago

A garden is rectangular with an area of 6/7 square miles. If the length of the garden is 3/5 miles, what is its width?

Dafna11 [192]

Answer:

Step-by-step explanation:

Area= length x width

area=6/7, length=3/5, width=?

6/7=3/5 x width

6/7 divided by 3/5= 6/7 x 5/3 (you have to multiply by the recipricol, or flip the fraction.)

6/7 x 5/3=30/21= 1 3/7=width

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3 years ago

2. Suppose (220)_b and (251)_b are the squares of consecutive integers. Determine b.

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Let $x$ and $x+1$ be these consecutive integers. For some base $b$ , we can write

$(x_{10})^2=220_b=2b^2+2b$

$((x+1)_{10})^2=251_b=2b^2+5b+1$

$x^2=2b^2+2b$

then

$x^2+1=2b^2+2b+1$

Now,

$x^2+2x+1=2b^2+5b+1$

$2x+2b^2+2b+1=2b^2+5b+1$

$\implies2x=3b$

Squaring both sides gives

$4x^2=9b^2$

and so

$4(2b^2+2b)=9b^2$

$\implies8b^2+8b=9b^2$

$\implies b^2-8b=0\implies\boxed{b=8}$

(because the base has to be non-zero)

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2 2/5

Step-by-step explanation:

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