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Sveta_85 [38]
2 years ago
10

An inflatable figure is a decoration on Gabriella's lawn. A rope 42 in. long secures the top of the figure to the ground at an a

ngle of 80°. About how tall is the figure?
round to the nearest tenth of an inch
Mathematics
1 answer:
Mekhanik [1.2K]2 years ago
7 0

Answer:

41.4 in

Step-by-step explanation:

(sin 80) <u>opposite</u>      =    <u>x</u>

          hypotenuse        42

x = 42 * sin (80)  = 41.4 in

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Solve the following question using the elimination method :)
pochemuha
The one above me is correct
8 0
3 years ago
The perimeter of a rectangle is 208 inches. The ratio
bearhunter [10]

Answer:

65 in and 39 in respectively

Step-by-step explanation:

Let r be the common ratio; when we multiply both L and R by this common ratio, we'll get the actual length and actual width of the rectangle,  Recalling that the formula for the perimeter of a rectangle is P = 2L + 2R, we get:

2(5r) + 2(3r) = 16r = 208 in

Then r = 208/16 = 13

Thus, the actual length is 5(13 in) and the actual width is 3(13 in.),

or 65 in and 39 in respectively.

As a check, calculate 65 in / 39 in; this comes out to 5:3, as required.

Then

6 0
3 years ago
Solve for x in simplest form. 3=7/2(3x−4)
polet [3.4K]

Answer:

x = 34/21

Step-by-step explanation:

  • 3 = 7/2 (3x-4)
  • 3 = (21/2)x - 28/2
  • 3 = (21/2)x - 14
  • (21/2)x = 17
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  • x = 34/21
6 0
3 years ago
Read 2 more answers
The difference between twice a number and three is equal to six decreased by the number find the number
devlian [24]
Translate the English to Math language:

Let x be that number


2x -3 = x-6 solve for x ; x=-3
5 0
3 years ago
An exit poll of 1000 randomly selected voters found that 515 favored measure A. a. Construct a 99% confidence interval for the s
never [62]

Answer:

Step-by-step explanation:

Given that an  exit poll of 1000 randomly selected voters found that 515 favored measure A.

Sample proportion p = \frac{515}{1000} =0.515

q=1-0.515 =0.485\\n =1000\\SE = \sqrt{\frac{pq}{n} } \\=0.158\\

Margin of error 99% = 2.58*SE

=2.58*0.0158\\=0.0408

99% confidence interval =(0.515-0.0408, 0.515+0.0408)\\= (0.474, 0.556)

------------------------

H_0: p =0.5\\H_a: p >0.5\\

(Right tailed test)

STd error = \sqrt{\frac{0.5*0.5}{1000} } \\=0.0158

Test statistic Z = p diff/std error =\frac{0.015}{0.0158} \\\\=0.9487

p value = 0.1714

6 0
3 years ago
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