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3 years ago

Find the length of leg x x=side a is 15side b is 12side x=

Mathematics

1 answer:

Paul [167]3 years ago

6 0

Answer:

x=9

Step-by-step explanation:

a=hyp=15

b=base=12

x=perp=?

using pathagorus theorem:

${hyp}^{2} = {base}^{2} + {perp}^{ 2} \\ {15}^{2} = {12}^{2} + {x}^{2} \\ 225 = 144 + x \\ 225 - 144 = {x}^{2} \\ 81 = {x}^{2} \\ x = 9$

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The data show prices of light bulbs at a home improvement store, rounded to the nearest dollar. Find the interquartile range (IQ

Yuliya22 [10]

Answer:

The interquartile range (IQR) of the data set is 8.

Step-by-step explanation:

Given:

The data show prices of light bulbs at a home improvement store, rounded to the nearest dollar.

5, 2, 8, 10, 2, 20, 6, 15, 29, 6, 2, 2, 5, 1, 3.

Now, to find the interquartile range (IQR) of the data set.

So, we arrange first in orders:

1,2,2,2,2,3,5,5,6,6,8,10,15,20,29.

Now, to get the median:

1,2,2,2,2,3,5,5,6,6,8,10,15,20,29.

5 is the median.

So, to get the IQR we need to get the Q1 (median of the first half) and Q3 (median of the second half):

Q1 = 1,2,2,2,2,3,5, 5,6,6,8,10,15,20,29

Q1 = 2.

Q3 = 1,2,2,2,2,3,5,5 ,6,6,8,10,15,20,29

Q3 = 10.

Now, to calculate the IQR:

$IQR = Q3-Q1$

$IQR=10-2$

$IQR=8.$

Therefore, the interquartile range (IQR) of the data set is 8.

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3 years ago

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Which of the fallowing is an incorrect way to label the line in the diagram below

SpyIntel [72]

Answer:

Line DF, line n, line d

Step-by-step explanation:

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3 years ago

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If the simple interest on $7000 for 10 years is $6300, then what is the interest rate? I will pick branliest answer with the

Roman55 [17]

Answer:

0.09

Step-by-step explanation:

So if you use the Simple interest equation it will begin with:
Interest total = Initial Amount of money x Interest rate per year x Years money is invested for.

Then substitute the values you have been given so:

$6300 = 7000 x Interest rate per year x 10.

This is simplifies to 6300 = 70,000 x Annual Interest rate

You can rearrange this to find the annual interest rate by dividing by 70,000:
$\frac{6300}{70000} = Interest\ rate$

Simplifying this would be:
$\frac{63}{700}\\$ = Interest rate.

The interest rate is 0.09.

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1 year ago

The sides of a rectangle are x cm and 4 cm. Its perimeter is 46 cm. Determine the value of x.

Vedmedyk [2.9K]

Answer:

x = 19 cm

Step-by-step explanation:

perimeter = 46 = 2(x + 4)

2x + 8 = 46

2x = 38

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2 years ago

What is (5,1) reflected on the y axis

asambeis [7]

Answer:

(-5 , 1)

Step-by-step explanation:

If you are reflecting over the x-axis, you are changing the sign of the y.

If you are reflecting over the y-axis, you are changing the sign of the x.

In this case, you have the point (5 , 1). You are reflecting over the y-axis, which means that you are flipping the sign of the x value.

(5 , 1) reflected over the y-axis is (-5 , 1)

(-5 , 1)

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2 years ago

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Find the length of leg x x=side a is 15side b is 12side x=​

Find the length of leg x x=side a is 15side b is 12side x=