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svp [43]
3 years ago
15

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

Mathematics
1 answer:
ankoles [38]3 years ago
5 0

Answer: 8\sqrt{3}

Step-by-step explanation: x^2 + b^2 = c^2 x^2 + 8^2 = 16^2 x^2 + 64= 256 x^2= 192 x= \sqrt{192} x= 8\sqrt{3}

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What value of x is in the solution set of 9(2x + 1) &lt; 9x - 18? <br> -4<br> -3<br> -2<br> -1
Anastaziya [24]

Answer:

The only possible answer that is correct is the first one, x = -4.

Step-by-step explanation:

Simplify the given inequality as much as possible, and then substitute each of the given x values one by one to determine which is in the solution set.

9(2x + 1) < 9x - 18 becomes 18x + 9 < 9x - 18, which, if reduced by dividing all four terms by 9, becomes 2x + 1 < x - 2.

Simplifying further, we get x < - 3.  The only possible answer that is correct is the first one, x = -4.  -4 < -3 is true.

8 0
2 years ago
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Belina bought 4 1/2 yards of red fabric. She also bought 6 yards of white fabric. How many inches of white fabric than red fabri
kirill115 [55]
First, I will made 4 1/2 into the decimal which is 4.5. Then, I add 6 with 4.5 to find the total fabric that Belinda will buy which is 10.5 in total. As a result, Belinda buys total 10.5 white and red fabrics.
6 0
3 years ago
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If Cody is draining his hot tub which holds 1,400 gallons of water at a rate of 27 gallons a minute, what impact will it have on
inessss [21]

Facts:

- tub has 1400 gallons

- draining at 27 gallons/minute

How much water will be left after 18 minutes?

We know that after 1 minute, there will be 27 gallons less.

So after 18 minutes, there must be 18 times less water.

27 x 18 = 486

This is how much water was lost in 18 min

So to find out how much he had left after <u>486 is subtracted.</u>

Therefore, the answer is A) -486 gallons

4 0
3 years ago
Please answer, thank you and have a nice day
taurus [48]

Answer:

The inequality represented by the graph is y >  \frac{1}{3} x - 3

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

  • m is the slope of the line
  • b is the y-intercept

The rule of the slope is m = \frac{y2-y1}{x2-x1} , where

  • (x1, y1) and (x2, y2) are two points on the line

<em>To find the inequality represented by the graph, find at first the equation of the line</em>

∵ The line passes through points (0, -3) and (3, -2)

∴ x1 = 0 and y1 = -3

∴ x2 = 3 and y2 = -2

→ Substitute them in the rule of the slope above to find it

∵ m = \frac{-2--3}{3-0} = \frac{-2+3}{3} = \frac{1}{3}

∴ m =  \frac{1}{3}

→ Substitute it in the form of the equation above

∴ y =  \frac{1}{3} x + b

∵ b is the y-intercept ⇒ value y at x = 0

∵ y = -3 at x = 0

∴ b = -3

→ Substitute it in the equation

∴ y =  \frac{1}{3} x + -3

∴ y =  \frac{1}{3} x - 3

→ Let us change it to inequality

∵ The line is dashed

∵ The shading area is above the line

∴ The sign of inequality should be >

∴ y >  \frac{1}{3} x - 3

∴ The inequality represented by the graph is y >  \frac{1}{3} x - 3

8 0
2 years ago
shut up bought a pen on sale. she saved 17% of the original price of $29. about how much money did she save? a $1 b $5 c $10 or
vredina [299]

Answer:

$4.93 cents so round it to $5.00

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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