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2 years ago

Find the value of x in the triangle shown below.

Mathematics

1 answer:

nika2105 [10]2 years ago

6 0

Answer:

$x = \sqrt{28}$

Step-by-step explanation:

Given,

Base of the triangle = 6

Hypotenuse of the triangle = 8

Let the height of the triangle = x

Therefore, According to Pythagoras Theorem,

${8}^{2} - {6}^{2} = {x}^{2}$

$= > 64 - 36 = {x}^{2}$

$= > 28 = {x}^{2}$

$= > x = \sqrt{28} (ans)$

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Given the speeds of each runner below, determine who runs the fastest.

Lesechka [4]

Answer:

Debbie runs 9 feet per second: 9 ft/s

Jessica runs 1 mile in 440 seconds: 414/50 ft/s = 207/25 ft/s = 8 7/25 ft/s

jesssica runs 131 feet in 10 seconds: since 1 mile = 5280 ft we have 1/470 mi/s = 5280/470 ft/s = 528/47 ft/s = 11 11/47 ft/s

ron runs 603 feet in 1 minute: 547 ft/min = 603/60 ft/s = 201/20 ft/s = 10 1/20 ft/s

Since:

11 11/47 > 10 1/20 > 9 > 8 7/25

Emily runs the fastest.

7 0

2 years ago

Can someone solve -192= -6 (6x - 4) step by step?

olasank [31]

Answer:

x= 4 2/3 OR 14/3 OR 4.6... –– 4 2/3 and 4.6... are the simplest form.

Step-by-step explanation:

Your original equation is -192 = -6 (6x - 4):

1. -192 = -6 (6x - 4)

Use distributive property and multiply: -6 x 6x = -36x and -6 x -4 = 24:

2. -192 = -36x + 24

We now move the +24 onto the other side of the equation, -192. Add 24 onto -192 and since we're moving the 24 on the left side of the equation, 24 will removed, so -24 on the right side of the equation:

3. -192 + 24 = -36x + 24 - 24

Divide both sides of the equations by -36 to get "x" by itself:

4. -168 / -36 = -36x / -36

Simplify the fraction of 24/36 by 12:

5. 4 24/36 = 4 2/3 or 14/3 or 4.6... = x

4 2/3, 14/3, 4.6... = x

7 0

2 years ago

15. Sonny has $75 to spend. The purchase he wants to make requires $93.

Rina8888 [55]

Answer:

Hello!!

If Sonny has $75 to spend and the purchase he would like to make requires $93. If he borrows extra money, he would need to borrow $18 dollars.

Step-by-step explanation:

$93-75=18$

Hope this helps!!

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3 years ago

If f(x)=x/(3x+2), what is f(a+h)

KATRIN_1 [288]

F(x)=x/(3x+2)

f(a+h)=(a+h)/(3a+3h+2)

8 0

3 years ago

Max is thinking of a number, which he calls n. He adds 8 and then doubles the sum. What is Max's final number if his starting nu

Sonja [21]

Based on the given situation, Max final number if his starting number is 7 is -4.5

<h3 /><h3>Algebra</h3>

Unknown number = n

He adds 8

n + 8

then doubles the sum

2(n + 8)

starting number = 7

So,

2(n + 8) = 7

2n + 16 = 7

2b = 7 - 16

2n = -9

n = -9/2

n = -4.5

Learn more about algebra:

brainly.com/question/4344214

#SPJ1

3 0

1 year ago

Find the value of x in the triangle shown below.​

Find the value of x in the triangle shown below.