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andrezito [222]
4 years ago
4

Triangle L J K is shown. Angle J L K is a right angle. The length of the hypotenuse is 15 inches and the length of the side adja

cent to the right angle is 10 inches. The angle between the 2 sides is x. Which equation can be used to find the measure of angle LJK? sin(x) = Ten-fifteenths sin(x) = Fifteen-tenths cos(x) = Ten-fifteenths cos(x) = Fifteen-tenths
Mathematics
1 answer:
zaharov [31]4 years ago
4 0

Answer:

  cos(x) = Ten-fifteenths

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the relation between the adjacent side and the hypotenuse is ...

  Cos = Adjacent/Hypotenuse

  cos(x) = 10/15

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36 out of 100 randomly selected taxpayers knew about tax incentives for installing energy-saving furnaces. Find a 90% confidence
tresset_1 [31]

Answer:

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

Step-by-step explanation:

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 zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 100, \pi = \frac{36}{60} = 0.6

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue 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}} = 0.36 - 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.28

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.44

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

7 0
4 years ago
Please help! I will give brainliest!!!
Romashka-Z-Leto [24]

Answer:

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Step-by-step explanation:

7 0
3 years ago
A cylinder and a cone both have radius of 6". The height of the cone is 12". The height of the cylinder is 6". Which has the gre
Shkiper50 [21]

Answer:

cylinder has greatest volume

Step-by-step explanation:

solution

given,

radius of cylinder(r)=6cm

height of cylinder (h)=6cm

we know,

volume of cylinder=πr^2h

=22÷7×6×6×6

=4752÷7

=678.857cm^3

radius of cone(r)=6cm

height of cone(h)=12cm

we know,

volume of cone=1÷3πr^3

= 1÷3×22÷7×6×6×6

= 4752÷21

=226.2857cm^3

as a result,cylinder has greatest volume

4 0
3 years ago
Please help me answer this question
olga55 [171]
Answer: $9900


Explanation:

Commission =  6% x $165000 = 0.06 x 165000 = $9900
7 0
3 years ago
Read 2 more answers
The sum of two numbers is 18. The sum of the greater number and twice the smaller number is 25. Find the numbers.
Vikki [24]

The smaller number is 7 and the greater number is 11.

Step-by-step explanation:

Let,

x be the smaller number

y be the greater number

According to given statement;

x+y=18     Eqn 1

y+2x=25    Eqn 2

Subtracting Eqn 1 from Eqn 2

(y+2x)-(x+y)=25-18\\y+2x-x-y=7\\x=7

Putting x=7 in Eqn 1

7+y=18\\y=18-7\\y=11

The smaller number is 7 and the greater number is 11.

Keywords: numbers, linear equation

Learn more about linear equations at:

  • brainly.com/question/11203617
  • brainly.com/question/11253316

#LearnwithBrainly

6 0
3 years ago
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