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antiseptic1488 [7]
3 years ago
7

Simplify problem: ∛-27n^27

Mathematics
1 answer:
enot [183]3 years ago
6 0

Answer:

-3n⁹

Step-by-step explanation:

= \sqrt[3]{-27n^(27)}

= \sqrt[3]{-27} * \sqrt[3]{n^{27}}

= (-3) × n⁹

= -3n⁹

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A steep mountain is inclined 75 degree to the horizontal and rises 3900 ft above the surrounding plain. A cable car is to be ins
maria [59]

Answer: 4004.76\ ft

Step-by-step explanation:

Given

inclination is \theta=75^{\circ}

Mountain is h=3900\ ft high

Cable is tied x=910\ ft from the base of the mountain

From the figure, length of the shortest path is l

It is given by using Pythagoras theorem

\Rightarrow l^2=3900^2+910^2\\\Rightarrow l=\sqrt{(3900)^2+(910)^2}\\\Rightarrow l=4004.76\ ft

7 0
3 years ago
HELP someone please!!!! i dont understand
ad-work [718]

Answer:

x = 65.03°

Step-by-step explanation:

To solve for x, we have to apply trigonometric ratio.

Recall: SOH CAH TOA

From the diagram, we know the following:

Reference angle = x

Hypotenuse = 45

Adjacent = 19

Since we know the Hyp and Adj, we would apply CAH, which is:

Cos x = Adj/Hyp

Plug in the values

cos(x) = \frac{19}{45}

x = cos^{-}(\frac{19}{45})

x = 65.0250346°

x = 65.03° (nearest hundredth)

4 0
3 years ago
A rocket is launched into the air. The height h(t), in yards, of the rocket is a function of time, t, in seconds, as shown in th
Vesna [10]

Answer:

Step-by-step explanation:

Average rate of change is the same thing as the slope.  Because this is parabolic, we cannot find the exact rate of change as we could if this were a linear function.  But we can use the same idea.  When t = 3, h(t) = 33, so the coordinate point is (3, 33).  When t = 6, h(t) = 0, so the coordinate is (6, 0).  Plug those values into the slope formula:

m=\frac{0-33}{6-3} and

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From 3 to 6 seconds, the rocket is falling 11 yards per second.

8 0
3 years ago
I NEED HELP PLEASE !!!!!
erastovalidia [21]

Answer:

c= (f-d)/ab

Step-by-step explanation:

  1. abc+d = f
  2. Subtract f from both sides so abc= f-d
  3. Divide by ab from both sides so c = (f-d)/ab
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3 years ago
Sixty out of every 100 pieces of candy is red. Which Indicates the
JulsSmile [24]

Answer:

The proportion of red candies is 60/100.

Step-by-step explanation:

Given that sixty out of every 100 pieces of candy is red, to determine which indicates the proportion of red candies, the following calculation must be performed:

60 red candies out of 100 total candies

60/100

Therefore, the ratio of red candies is 60/100.

8 0
3 years ago
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