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SIZIF [17.4K]
2 years ago
8

7. If the diagonals of a square measure 24

Mathematics
1 answer:
melisa1 [442]2 years ago
3 0

Answer:

Step-by-step explanation:

the diagonal is the hypotenuse of a 45-45-right triangle

the two legs are the same measure so the Pythagoreant theorem

2x²=24     divide by 2

x² = 12      square root

x = \sqrt{12} \\  \sqrt{4x3} \\2\sqrt{3}

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PLEEASSEEEE Answer ASAP. Due in 5 Minutes. 25 points!!!!!!!!!
jonny [76]

Answer:

Here we will use the relationships:

a^n*a^m = a^{n + m}

(a^n)^m = a^{n*m}

\frac{a^n}{a^m} = a^{n - m}

And a number:

a^n

is between 0 and 1 if a is positive and larger than 1, and n is negative.

if a is positive and 0 < a < 1, then we need to have n positive such that:

0 < a^n < 1

A) 5^3*5^{-4} = 5^{3 + (-4)} = 5^{-1}

This is between zero and 1,

B) \frac{3^5}{3^{-6}} = 3^{5 - (-6)} = 3^{11}

This is greater than 1, because the exponent is positive.

C) (\frac{1}{4})^3*( \frac{1}{4})^2 = (\frac{1}{4})^{2 + 3} = (\frac{1}{4})^5

Because a is smaller than 1, and the exponent is positive, then the expression is between 0 and 1.

D) \frac{(-7)^5}{(-7)^7} = (-7)^{5 - 7} = -7^{-2}

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Remember that when the exponent is pair, we always have that:

(-N)^m = (N)^m

So (-7)^-2 = 7^-2

4 0
2 years ago
You roll a 6-sided die. What is P(factor of 10)? Write your answer as a percentage rounded to the nearest tenth.
exis [7]

Answer:

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3 years ago
A cylinder with the height of 6km has a volume of 384km3 what is the radius?
azamat

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A Statistics class is estimating the mean height of all female students at their college. They collect a random sample of 36 fem
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Answer: = ( 63.9, 66.7)

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The confidence interval of a statistical data can be written as.

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