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AfilCa [17]
2 years ago
7

Explain how to answer the question attached

Mathematics
2 answers:
Ivenika [448]2 years ago
5 0

Answer:

150 meters

Step-by-step explanation:

Use the Pythagorean Theorem to calculate this distance:  L^2 + W^2 = D^2, where W is the width, L is the length and D is the diagonal length.

Here D^2 = 90^2 + 120^2 = 22500, and so D = √22500 = 150

The diagonal distance in question is 150 meters.

LenaWriter [7]2 years ago
3 0

Answer:

The players ran 150 meters

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

Since we have a rectangle with sides 90 and 120, we know if we split a diagonal across it, we will get a right triangle with legs 90 and 120. From there, we use Pythagorean Theorem to solve:

90² + 120² = c²

8100 + 14400 = c²

c² = 22500

√c² =  √22500

c = 150

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Help!!!!!!!!!!!<br> Solve for x<br> x+11+8x=29<br> Explain how you got the answer please!
dolphi86 [110]
X + 11 + 8x = 29. We need to solve for x.
First, on the left side, you have "x" and "8x": You can always add 2 numbers with the same variable, so you have 1 number: x + 8x = 1x + 8x = (1+8)x = 9x

So we get:
9x + 11 = 29

Now subtract 11 from both sides (You can't do any operation if you don't do it both sides), so you can get the variable alone on the left side, and the numbers on the right side:
9x + 11 = 29
9x + 11 - 11 = 29 - 11
9x = 18

Now divide both sides by 9, so you can transform the coefficient of x to one, and have the numeric value of x on the right side:
9x = 18
(9x)/9 = 18/9
x = 2

So x+11+8x = 29 for x = 2.

You can recheck your answer (very important):
x + 11 + 8x = 2 + 11 + 8*2 = 2 + 11 + 16 = 13 + 16 = 29
The answer has been approved.

Hope this Helps! :)
8 0
3 years ago
Read 2 more answers
The ratio of the units digit to the tens digit in a two-digit number is one-half. the tens digit is two more than the units digi
vodomira [7]
Let the first digit of the 2-digit number be x and the second digit be y.
Then the ratio (x/y) equals (1/2).  Write a formula for y in terms of x.

The tens digit is 2 more than the units digit.  Using the letters x and y, write out the proper equation.

Now solve your two equations simultaneously for x and y.
5 0
3 years ago
A health research institute collects information from 20 individuals on the number of years they have spent smoking cigarettes,
olga55 [171]

The correlation coefficient of the health research institute data measures the relationship between the age and the years of the smokers

The correlation coefficient is 0.53

<h3>How to calculate the correlation coefficient</h3>

The correlation coefficient (r) is calculated as:

r = \frac{n(\sum xy) - \sum x \sum y}{\sqrt{[n \sum x^2 - (\sum x)^2][n\sum y^2 - (\sum y)^2}}

Using the given parameters, we have:

r = \frac{20 *8249 - 1257* 116}{\sqrt{[20 * 98823 - 1257^2][20 * 836 - 116^2}}

Evaluate the exponents

r = \frac{20 *8249 - 1257* 116}{\sqrt{[20 * 98823 - 1580049][20 * 836 - 13456}}

Evaluate the products

r = \frac{164980 - 145812}{\sqrt{[1976460 - 1580049][16720 - 13456}}

Evaluate the differences

r = \frac{19168}{\sqrt{[396411*3264}}

Evaluate the product

r = \frac{19168}{\sqrt{1293885504}}

Evaluate the root

r = \frac{19168}{35970.6}

Evaluate the quotient

r = 0.53

Hence, the correlation coefficient is 0.53

Read more about correlation coefficient at:

brainly.com/question/1564293

8 0
2 years ago
-4x+7 x= -1 evaluate the expression
NeX [460]
Hello luv! So here is how I will evaluate this expression
-4x+7, x=-1 so you are using substitution
-4(-1)+7
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:)

3 0
3 years ago
Cobert 5 feet to to meters to the nearest hundredths place​
Brums [2.3K]
1.5 meters

There is 30 cm in a foot and 5 feet times 30 is 150. There is 100 cm in a meter so 150/100 is 1.5 meters.
6 0
3 years ago
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