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diamong [38]
3 years ago
6

In ΔQRS, r = 1.5 inches, ∠S=23° and ∠Q=22°. Find the length of s, to the nearest 10th of an inch.

Mathematics
1 answer:
wel3 years ago
7 0

Answer:

0.8 inches

Step-by-step explanation:

< R = 180-23-22 = 135°

the length of s = 1.5 × sin 23° / sin 135°

= 1.5 × 0.391 / 0.707 = 0.5865/0.707

= 0.8 inches

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Solve -3.5 = for x using the multiplication property of equality. The operation in the problem is eration is Addition Subtractio
Gemiola [76]

The answer is the Division on the top The multiplication then -14

Step-by-step explanation: I hope this will help you

6 0
3 years ago
A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confid
katrin [286]

Answer:

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

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 = 865, \pi = \frac{408}{865} = 0.4717

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 - 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.4384

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 + 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.5050

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

6 0
3 years ago
PLEASE SOMEONE HELP ILL GIVE BRAINLIEST!
grin007 [14]

Answer:

Part A

The rotation of the point (x, y) 180° about the origin gives the point (-x, -y)

Therefore, we have the points, ΔLMN, L(1, 1), and M(2, 2), and N(3, 3)

The coordinates of the vertices of the image, ΔL'M'N' are L'(-1, -1), and M'(-2, -2), and N'(-3, -3)

Please find attached the graph of triangle ΔLMN and ΔL'M'N'

Part B

The lines drawn through L and L' and through M and M' are colinear

Part C

A line is defined by two points, such as <em>L </em>and <em>M.</em> Rotation of a line through 180° about the origin will give an image location on the same path as the extension of the original line.

The third point, <em>N</em>, however, defines a plane, and the rotation of a plane by 180° will give an image which is turned upside down with regards to the preimage

Therefore, a trough in the preimage becomes a peak in the image and the lines drawn through N and N' crosses the colinear lines drawn throgh M and M' and L and L'

Step-by-step explanation:

5 0
3 years ago
Daniels is considering two job offers: a full-time permanent position that pays $78,000 annually and a full-time contract job th
WITCHER [35]

Answer:

Option B,contract job

Step-by-step explanation:

It is likely the number of hours in a work week is 40 hours .

With fifty weeks in year 2020 and 10 ten days of Bank Holidays,the gross annual income from the contract full time employment can be computed thus

gross annual income=$40*40*(53-2)=$81,600

The pay is $40 per hour

In a week 40 hours are worked

There are fifty three weeks in the year minus 10 days of holiday which represents 2 working weeks for a Monday to Friday job

The gross annual income for full time permanent role is $78,000

As a result,the full time contract job pays more

                   

5 0
3 years ago
What is 8y=48 what is the answer to the problem
valkas [14]

48 divided by 8 equals 6

so y = 6

7 0
2 years ago
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