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SpyIntel [72]
3 years ago
11

What is the solution set for this inequalty? -8x + 40> -16

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
3 0

Answer:

x < 7

Step-by-step explanation:

-8x + 40> -16

Subtract 40 from each side

-8x + 40-40> -16-40

-8x >-56

Divide each side by -8, remembering to flip the inequality

-8x/-8 < -56/-8

x < 7

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The triangle below is equilateral. Find the length of side xx in simplest radical form with a rational denominator.
mylen [45]

The length of side x in simplest radical form with a rational denominator is 8√3

<h3>How to find the length of side x in simplest radical form with a rational denominator?</h3>

The given parameters are:

Triangle type = Equilateral triangle

Height (h) = 12

Missing side length = x

The missing side length, x is calculated using the following sine ratio

sin(60) = Height/Missing side length

This gives

sin(60) = 12/x

Make x the subject of the formula

So, we have

x = 12/sin(60)

Evaluate the quotient

So, we have

x = 12/(√3/2)

This gives

x = 24/√3

Rationalize

x = 24/√3 * √3/√3

Evaluate

x = 8√3

Hence, the length of side x in simplest radical form with a rational denominator is 8√3

Read more about triangles at

brainly.com/question/2437195

#SPJ1

6 0
1 year ago
The length of a rectangle is 8 feet more than its width. If the width is increased by 4 feet and the length is decreased by 5 fe
alexgriva [62]
Let the width be x.

Length is 8 feet more than width. Length = x + 8

Area = x(x + 8)

width increased by 4, that is,  (x + 4)
Length decreased by 5,    (x + 8 - 5) = (x + 3)

Area  = (x + 4)(x +3)

Area remains the same

x(x + 8) = (x+4)(x +3)

x² + 8x =   x(x +3) + 4(x +3)

 x² + 8x =   x² +3x + 4x +12

x² + 8x =   x² +7x +12        Eliminate x² from both sides

8x = 7x + 12

8x - 7x = 12

x = 12

Dimensions of original rectangle :  x,  x + 8

12, 12 +8 =   12, 20

Original rectangle is   20 feet   by 12 feet 
5 0
3 years ago
Read 2 more answers
Reduce to simplest form. -3/5 + (-8/2) =
Dominik [7]

Answer:

<u>The answer is -4 3/5</u>

Step-by-step explanation:

Let's reduce to its simplest form:

-3/5 + (-8/2) =

Step 1: Lowest Common Denominator (10):

- 6/10 + (-40/10) =

Step 2: Solve the parentheses:

- 6/10 - 40/10 =

Step 3: Subtract the fractions:

-46/10

Step 4: Simplify (Dividing by 2):

-23/5

Step 5: Converting the fraction to mixed number:

-4 3/5

<u>The answer is -4 3/5</u>

3 0
3 years ago
I have like five of these so I'm sorry.
myrzilka [38]

Answer:

z ≥ -5/6

Step-by-step explanation:

10z - 2 ≥ 4z - 7

6z ≥ -5

z ≥ -5/6

6 0
2 years ago
Read 2 more answers
What is the lcm of 3,8
ludmilkaskok [199]

Answer: 24

Step-by-step explanation: The LCM of 3 and 8 is 24.

3 6 9 12 15 `18 21 24

8 16 24

8 0
3 years ago
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