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frutty [35]
4 years ago
13

Can I get some help with this problem ​

Mathematics
1 answer:
Andrej [43]4 years ago
5 0

Answer:

I cant give you the answer but I do know that you need a compass to solve this. ( the first corner is 70degrees)

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Please help asap 100 points
vesna_86 [32]

Answers:

Problem #1: Option C, 166 yards cubed

Problem #2:  Option A, 10

Step-by-step solution:

The first problem may seem a lot more confusing that it really is and this actually happened to me when I looked at it.  Just because the cylinder is slanted that actually doesn't change any of the volume that we would have if it was straight up with the same diameter and height.

Using what we know about cylinders, let us plug all the information inside of the formula to determine the volume of the cylinder.  However, before doing that we need to determine the radius of the circle from the diameter that was given.

<u>Divide the diameter by two to get the radius</u>

  • Radius = \frac{Diameter}{2}
  • Radius = \frac{5.2\ yd}{2}
  • Radius = 2.6\ yd

<u>Plug in the values</u>

  • V_{cylinder} = (\pi * radius^2)*height
  • V_{cylinder} = (\pi * (2.6\ yd)^2)*7.8\ yd

<u>Simplify the exponent</u>

  • V_{cylinder} = (\pi * (2.6)^2 *(yd)^2)*7.8\ yd
  • V_{cylinder} = (\pi * 6.76\ yd^2)*7.8\ yd

<u>Simplify the expression</u>

  • V_{cylinder} = (21.237\ yd^2)*7.8\ yd
  • V_{cylinder} = 165.65\ yd^3

Therefore, after simplifying the expression using the cylinder volume formula and the given information we were able to determine that the option that best fits the description of our answer is option C, 166 cube yards.

Now that we completed the first question, we can move onto the second question.  In this question we are given a figure along with 3 numbers and one unknown, x, which we need to find the value of.  We need to use the Secant-Secant Power Theorem to help determine our solution.

<u>Make an expression to represent the scenario</u>

  • 32(x + 32) = 28(20 + 28)

We know have an expression which we can now simplify and get the value of the unknown easily.  The first step would be to distribute the 32 and 28.

<u>Distribute both sides</u>

  • 32(x + 32) = 28(20 + 28)
  • (32 * x) + (32 * 32) = (28 * 20) + (28 * 28)
  • 32x + 1024 = 560 + 784

<u>Simplify the expression</u>

  • 32x + 1024 = 1344

We now have a simple expression where we can now subtract both sides by 1024 to help isolate x with its coefficient.

<u>Subtract 1024 from both sides</u>

  • 32x + 1024 - 1024 = 1344 - 1024
  • 32x = 1344 - 1024
  • 32x = 320

The final step that we have to help fully isolate x by itself is to divide both sides by 32 which would remove the coefficient from x.

<u>Divide both sides by 32</u>

  • \frac{32x}{32} = \frac{320}{32}
  • x = \frac{320}{32}
  • x = 10

After simplifying the expression completely, we are able to see that the best option that fits our description is option A, 10.

8 0
2 years ago
4 has how many modulus points
hoa [83]
Mod just means you take the remainder after performing the division. Since 4 goes into 2 zero times, you end up with a remainder of 2.
3 0
3 years ago
A well-conducted opinion poll showed that 48% of voters surveyed favored the reelection of Congressman Porkbarrel. The people wh
GenaCL600 [577]

Answer:

A. Based on the procedure by which this figure was generated, it is likely that the population proportion is between 44.5% and 51.5%.

Step-by-step explanation:

Confidence interval:

We build a confidence interval from a sample proportion, to get an estimate of where the population proportion should likely be.

48% of voters surveyed favored the reelection of Congressman Porkbarrel, with a margin of error of 3.5%.

48 - 3.5 = 44.5%.

48 + 3.5 = 51.5%.

Following the concept of a confidence interval, the population proportion is likely to be between 44.5% and 51.5%, and thus, the correct answer is given by option A.

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3 years ago
How do you solve cos((π/6)x)=0
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\bf cos\left( \frac{\pi }{6}x \right)=0\implies cos^{-1}\left[ cos\left( \frac{\pi }{6}x \right) \right]=cos^{-1}(0)&#10;\\\\\\&#10;\cfrac{\pi x}{6}=cos^{-1}(0)\implies \cfrac{\pi x}{6}=&#10;\begin{cases}&#10;\frac{\pi }{2}\\\\&#10;\frac{3\pi }{2}&#10;\end{cases}\\\\&#10;-------------------------------

\bf \cfrac{\pi x}{6}=\cfrac{\pi }{2}\implies \pi x=\cfrac{6\pi }{2}\implies x=\cfrac{6\pi }{2\pi }&#10;\implies \measuredangle x=\stackrel{radians}{3}\\\\&#10;-------------------------------\\\\&#10;\cfrac{\pi x}{6}=\cfrac{3\pi }{2}\implies\pi x=\cfrac{18\pi }{2}\implies x=\cfrac{18\pi }{2\pi }\implies \measuredangle x=\stackrel{radians}{9}
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4 years ago
What number is 15% of 120
Sergio039 [100]

Answer:

18

Step-by-step explanation:

120 times .15 to get 18

5 0
4 years ago
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