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3 years ago

Write a compound inequality to represent all of the numbers between -4 and 6

Mathematics

1 answer:

Neko [114]3 years ago

6 0

-4 ≤ n ≤ 6

Hope this helps! :)))

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Solve each trigonometric equation such that 0 ≤ x ≤ 2????. Give answers in exact form.

sveticcg [70]

Answer:

(a) $x=\frac{5\pi }{3}$

(b) $x=\frac{\pi }{8}$

Step-by-step explanation:

It is given that $0\leq x\leq 2\pi$

(a) We have given equation $2sinx+\sqrt{3}=0$

$sinx=\frac{-\sqrt{3}}{2}$

$x=sin^{-1}(-0.866)$

$x=\frac{-\pi }{3}=2\pi -\frac{\pi }{3}=\frac{5\pi }{3}$

(b) $tan(2x)=1$

$2x=tan^{-1}1$

$2x=\frac{\pi }{4}$

$x=\frac{\pi }{8}$

7 0

4 years ago

Edward wants to compare slope of two wake board ramps.The first ramp has the rise of 5 feet and run of 12 feet. The second has t

xxMikexx [17]

Answer:

Step-by-step explanation:

The formula for determining the slope of a ramp is expressed as

Slope = rise/run

The first ramp has the rise of 5 feet and run of 12 feet. This means that the slope of the first ramp is

Slope = 5/12 = 0.417

The second has the rise of 6 feet and the run of 3 feet. This means that the slope of the second ramp is

Slope = 6/3 = 2

The lower the run, the steeper the slope. This means that the second ramp is steeper than the first ramp.

This can be confirmed by calculating the angle formed by each ramp. To determine the angle formed by the ramp with the horizontal, we would apply we would apply

the tangent trigonometric ratio.

Tan θ = opposite side/adjacent side.

Considering the first ramp,

Tan θ = 5/12 = 0.417

θ = Tan^-1(0.417)

θ = 22.6°

Considering the second ramp,

Tan θ = 6/3 = 2

θ = Tan^-1(2)

θ = 63.4°

The second ramp forms a greater angle. Thus, it is steeper.

8 0

3 years ago

-125>-135 divide each side by -5 what is the resulting true inequality

Reptile [31]

Answer: 25<27

Step-by-step explanation:

-125/-5=25

-135/-5=27

25<27

5 0

3 years ago

Read 2 more answers

What is the least common multiple (LQM) of 8 and 12?

Bumek [7]

Answer:

Step-by-step explanation:

The LCM of 8 and 12 is 24. Find least common multiple (LCM) of: 16 & 24 4 & 6 24 & 36 40 & 60 56 & 84 16 & 12 8 & 24 24 & 12 8 & 36 40 & 12 8 & 60 56 & 12 8 & 84

8 0

3 years ago

Which expression is equivalent to the following complex fraction?

otez555 [7]

Answer:

Hence, the complex fraction is equal to

[-2y + 5x]/[3x - 2y] that is,

[-2y + 5x] divided by [3x - 2y]

Step-by-step explanation:

Complete Question

Which expression is equal to the complex fraction

[-2/x + 5/y] divided by [3/y - 2/x]

We first take the LCM of each of these

[-2/x + 5/y] = [(-2y + 5x)/xy]

[3/y - 2/x] = [(3x - 2y)/xy]

[-2/x + 5/y] ÷ [3/y - 2/x] becomes

[(-2y + 5x)/xy] ÷ [(3x - 2y)/xy]

= [(-2y + 5x)/xy] × [xy/(3x - 2y)]

= [-2y + 5x]/[3x - 2y]

Hope this Helps!!

5 0

3 years ago