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wariber [46]
2 years ago
10

Let ∠D be an acute angle such that cosD=0.33. Use a calculator to approximate the measure of ∠D to the nearest tenth of a degree

.
What is the measurement of
Please show all the work on how you got your answer.

Mathematics
1 answer:
kotegsom [21]2 years ago
5 0

To approximate the measure of angle D, we will need to use the inverse cosine function on our calculator. All calculators vary, so I am not sure where you would find the button for it on your calculator. However, I know many calculators have it so you click the second button, then cos.

cos(D) = 0.33

D = cos^-1 (0.33)

D = 70.7 degrees

Hope this helps!! :)

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Stan's cookie recipe makes 242424 cookies and calls for exactly 384384384 sprinkles. He is wondering how many sprinkles (p)(p)le
arlik [135]
If these numbers are correct:

For every 242,424 cookies he needs 384,384,384 sprinkles. So how many sprinkles does he need for 606,060 cookies?

242,424/384,384,384 = 606,060/x

384,384,384 * 606,060 = 242,424 * x

232,959,999,767,040 = 242,424 * x

960,960,960 = x
7 0
2 years ago
According to Eurostat, 55.2% of households in Italy have one child, the highest percentage in the Euro zone. A random sample of
Sladkaya [172]

Answer:

0.04

Step-by-step explanation:

In this case we must use the following formula to be able to find the standard error, which would be the square root, of the probability for its complement divided by the population:

SE= \sqrt{\frac{p *(1-p)}{n} } \\

Now, knowing that p = 0.552 and n = 160 we replace and we are left with:

SE =  \sqrt{\frac{0.552 *(1-0.552)}{160} } \\

SE = \sqrt{0.00154}

SE = 0.039

Which means that the standard error of the proportion is 0.04

3 0
1 year ago
Select the two statements that are true about the equation y−56=4(x+5)y-56=4(x+5).
Sergio [31]

The correct answers are:

The slope of the line is 4.

A point on the line is (−5, 56)

Step-by-step explanation:

Given equation is:

y-56=4(x+5)

The slope-intercept form is:

y-y_1=m(x-x_1)

Comparing both equations we get

m = 4

y-56=y-y_1\\y_1 = 56\\x+5 = x-x_1\\x_1=-5

The point is (-5,56)

So, the correct answers are:

The slope of the line is 4.

A point on the line is (−5, 56)

Keywords: Point-slope form, Slope

Learn more about point-slope form at:

  • brainly.com/question/2048256
  • brainly.com/question/2115122

#LearnwithBrainly

6 0
2 years ago
The cost of phone is reduced by 30% new cost is 116.83 what was the original price of the phone
slava [35]

Answer:

p = $116.83/0.70 = $166.90

Step-by-step explanation:

let p represent the original price.  Then:

(1.00 - 0.30)p = $116.83, or

0.70p = $116.83.

Finally,

p = $116.83/0.70 = $166.90

3 0
2 years ago
In a USA TODAY/Gallup Poll, respondents favored Barack Obama over Mitt Romney in terms of likeability, 61% to 32% (Los Angeles T
dybincka [34]

Answer:

a) percentage of respondents that favored neither Obama nor Romney in terms of likeability = 7%

b) For a given survey of 500, the number of respondents that favored Obama than Romney is 145.

Step-by-step explanation:

Given that none of those surveyed can favour the two candidates at the same time,

n(Universal set) = n(U) = 100%

n(Obama) = n(O) = 61%

n(Romney) = n(R) = 32%

n(That favour Obama and Romney) = n(O n R) = 0%

To calculate for the number that favour neither of the candidates

n(O' n R')

n(U) = n(O) + n(R) + n(O n R) + n(O' n R')

100 = 61 + 32 + 0 + n(O' n R')

n(O' n R') = 100 - 93 = 7%

b) For a given survey of 500, how many more respondents favored Obama than Romney?

Number of those surveyed that favour Obama = 61% of 500 = 305

Number of those surveyed that favour Romney = 32% of 500 = 160

Difference = 305 - 160 = 145

5 0
1 year ago
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