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Cloud [144]
3 years ago
15

HELP!!! NO LINKS PLEASE!!!

Mathematics
1 answer:
Anna11 [10]3 years ago
3 0

Step-by-step explanation:

a) (i) length = 2(pi)r = 2(3.14)(.5 m) = 3.14 m

(ii)3.14 m × ($4.70/m) = $14.76

b) A = (pi)r^2 = (3.14)(18 m)^2 = 1017.9 m^2

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A rope is tied to the bottom of a hot air balloon as shown. The altitude of the balloon is 50 feet and the rope is 75 feet long.
Semenov [28]

Answer:

As per the statement

The altitude of the balloon is 50 feet and the rope is 75 feet long.

⇒ Altitude of the balloon = 50 feet.

And length of the rope = 75 feet.

We have to find the angle that rope makes with ground,

Using Sine ratio:

\sin \theta = \frac{\text{Opposite side}}{\text{Hypotenuse side}}

You can see the diagram as shown below.

Here,

Opposite side =  Altitude of the balloon = 50 feet.

Hypotenuse side =  length of the rope = 75 feet.

Substitute the given values we have;

\sin \theta = \frac{50}{75} =\frac{2}{3}

⇒\theta = \sin^{-1} (\frac{2}{3}) = 41.8°

Therefore, the angle that the rope makes with the ground is, 41.8 degree

8 0
4 years ago
Read 2 more answers
Which is not a way to determine if two ratios are proportional?​
AfilCa [17]

Answer:

the correct answer is d

Step-by-step explanation:

To find an equal ratio, you can either multiply or divide each term in the ratio by the same number (but not zero). For example, if we divide both terms in the ratio 3:6 by the number three, then we get the equal ratio, 1:2.

5 0
3 years ago
Passes through (-2,13) and (2,-7); write answer in slope intercept form.
Ksju [112]

Step-by-step explanation:

You must first know the formular for gradient then use the applied formular for slope

3 0
3 years ago
8. Derek was observing the change in water levels in his fish pond. The table below show the change in water levels of the fish
Alla [95]

Answer:

H. 2 3/4

Step-by-step explanation:

  • DATE                         >> WATER LEVEL CHANGE (inches)
  • August 25                  >>  -0.75
  • September 8              >>  -1 3/ 8
  • September 22            >>  2.5
  • October 6                    >>  -1/2
  • October 20                 >>  1 7/8

<u>Total change:</u>

  • 1 7/8 - (-0.75) =
  • 1+ 7/8 + 3/4 =
  • 1 + 7/8 + 6/8 =
  • 1 + 13/8 =
  • 1+ 1 5/8 =
  • 2 5/8

The closest answer option is H. 2 3/4

8 0
4 years ago
In the June 2007 issue, Consumer Reports also examined the relative merits of top-loading and front-loading washing machines, te
saveliy_v [14]

Answer:

Yes

Step-by-step explanation:

Given that in the June 2007 issue, Consumer Reports also examined the relative merits of top-loading and front-loading washing machines, testing samples of several different brands of each type.

The difference in mean values test gave a p value of 0.32

Confidence level = 95%

Alpha = 1-0.95 = 0.05

Compare p with alpha, here p >alpha

Hence we accept null hypothesis that there is no difference in the means.

Confidence interval method also will yield the same result.  i.e. confidence interval for difference of means would definitely contain 0 at 95% conf level.

So answer is yes

3 0
3 years ago
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