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jok3333 [9.3K]
4 years ago
10

What is the area? Please explain steps so I can attempt to understand

Mathematics
1 answer:
yarga [219]4 years ago
3 0

Answer:

12 \sqrt{2}

Step-by-step explanation:

you can use hypotenuse formula

45-45-90 isosceles right triangle

so, 45= x

x² + x² = 24²

2x² = 24²

x²= 24.12

x= \sqrt{288}  = 12 \sqrt{2}

or :

you can use this rule: if you see a 45 45 90 isosceles right triagngle (you can look picture) 45=a cm and 90 = a\sqrt{2}

cm

so ;

a \sqrt{2}  = 24

a= 12 \sqrt{2}

hope this helps ^-^

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Answer:

The angle of X is 60

Step-by-step explanation:

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3 years ago
The perimeter of a rectangular garden is 110ft. The length is 5 ft greater than the width. Find the length and width.
tigry1 [53]

P = perimeter

L = length

W = width

Formula for the perimeter of a rectangle = L + L + W + W  or  P = 2L + 2W

You know:

P = 110ft

L = W + 5  [length is 5ft greater than the width]

So plug this into the formula:

P = 2L + 2W             Substitute/plug in (W + 5) for L

110 = 2(W + 5) + 2W           Distribute/multiply 2 into (W + 5)

110 = (2)W + (2)5 + 2W

110 = 2W + 10 + 2W       Combine like terms (2W + 2W)

110 = 4W + 10       Subtract 10 on both sides

110 - 10 = 4W + 10 - 10

100 = 4W     Divide 4 on both sides to get "W" by itself

\frac{100}{4}=\frac{4W}{4}

25 = W        Now that you know the width, plug it into the equation for length

L = W + 5       Plug in 25 for W

L = 25 + 5

L = 30

L = 30 ft

W = 25 ft

PROOF

P = 2L + 2W

110 = 2(30) + 2(25)

110 = 60 + 50

110 = 110

4 0
3 years ago
Suppose that IQ scores have a bell-shaped distribution with a mean of 97 and a standard deviation of 17. Using the empirical rul
a_sh-v [17]

Answer:

99.7% of IQ scores are between 46 and 148.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 97, standard deviation of 17.

What percentage of IQ scores are between 46 and 148?

97 - 3*17 = 46

97 + 3*17 = 148

Within 3 standard deviations of the mean, so:

99.7% of IQ scores are between 46 and 148.

5 0
4 years ago
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