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kondaur [170]
2 years ago
8

the triangle above is changed so that the Exterior angle measures 128 degrees. How does this affect angles B and C?

Mathematics
1 answer:
Readme [11.4K]2 years ago
3 0

Answer:

That means that B+C=128°

Step-by-step explanation:

(I think that there's an error in the task itself though C + the outer angle should be 180°)

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What is the value of y in the 1/4y =12
aliina [53]

Answer:

8

Step-by-step explanation:

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3 years ago
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Let f(x) = – x-1 and g(x) = x² – 4.<br> Find (f o g)(3).<br> Then (f o g)(3) =
Dmitry_Shevchenko [17]

Answer:

answer is -6

Step-by-step explanation:

hope it helped!!!

6 0
2 years ago
In a survey of adults aged 57 through 85​ years, it was found that 86.6​% of them used at least one prescription medication. Com
OleMash [197]

Answer:

a) 272 used at least one prescription​ medication.

b) The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).

Step-by-step explanation:

Question a:

86.6% out of 3149, so:

0.866*3149 = 2727.

272 used at least one prescription​ medication.

Question b:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 3149, \pi = 0.866

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.  

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.866 - 1.645\sqrt{\frac{0.866*0.134}{3149}} = 0.856

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.866 + 1.645\sqrt{\frac{0.866*0.134}{3149}} = 0.876

For the percentage:

0.856*100% = 85.6%

0.876*100% = 87.6%.

The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).

7 0
3 years ago
Given: tangent A = negative StartRoot 15 EndRoot What is the value of Tangent (A minus StartFraction pi over 4 EndFraction)?
marshall27 [118]

Answer:

( √15 + 8)/7

Step-by-step explanation:

TanA = -√15

.we are to find tan(A-π/4).

In trigonometry

Tan(A-B) = TanA - TanB/1+ tanAtanB

Hence:

tan(A-π/4) = TanA - Tanπ/4/1+ tanAtanπ/4

Substitute tan A value into the formula

tan(A-π/4) = -√15-tanπ/4 / 1+(-√15)(tanπ/4

tan(A-π/4) = -√15-1/1-√15

Rationalize

-√15-1/1-√15 × 1+√15/1+√15

= -√15-√225-1-√15/(1-√225)

= -2√15-15-1/1-15

= -2√15 -16/(-14)

= -2(√15+8)/-14

= √15 + 8/7

Hence the required value is ( √15 + 8)/7

4 0
2 years ago
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A boat can travel 377 kilometers on 75.4 liters of gasoline . how far can it travel on 100.8 liters?
Nadya [2.5K]
Answer: 490.1km
(photo):

4 0
3 years ago
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