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4 years ago

Find the the measure of angle C

Mathematics

1 answer:

Arada [10]4 years ago

3 0

Answer:

C = 72.97°

Step-by-step explanation:

Known side b (=13) is opposite known angle 47 deg, and

known side c (=17) is opposite unknown angle C. This situation calls for the application of the Law of Sines:

13 17

------------ = -----------

sin 47° sin C

Solving this equation for sin C, we go through the following procedure:

Cross multiply, obtaining 13sin C = 17°sin 47°, or

17sin 47°

sin C = ---------------- = (17/13) sin 47° = 1.308 sin 47° = (1.308)(0.731)

Then sin C = 0.956

The angle C is equal to arcsin 0.956: C = 72.97°

Then

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Use the image below, answer the following questions. Be sure to answer all 3 questions in order.

Nastasia [14]

Answer:

a. Yes

b. VT

c. Segment RQ

Step-by-step explanation:

a. Find the slope of RS and UV

Slope = rise/run

Slope of RS = rise/run = RQ/QS

Slope of RS = 6/6

Slope of RS = 1

Slope of UV = rise/run = UT/TV

Slope of UV = 3/3

Slope of UV = 1

Thus, TS and UV have equivalent slopes

b. Slope of VT:

VT is an horizontal line.

It has no rise. But only run.

Therefore, it's rise = 0, while run = VT = 3

Slope of VT = rise/run = 0/3

Slope of VT = 0

c. Vertical lines have undefined slope.

Segment RQ is vertical line and therefore has an undefined slope.

RQ has rise but no run.

Thus:

Rise = 6

Run = 0

Slope of Segment RQ = 6/0 (this can't divide)

Therefore, slope of Segment RQ is undefined.

3 0

3 years ago

Which of the following orders 2/3,25%,3/5,0.40 from least to greatest

grandymaker [24]

Answer:

1. 25%

2. 0.40

3. $\frac{3}{5}$

4. $\frac{2}{3}$

Step-by-step explanation:

Solve each individually;

$\frac{2}{3}=0.67\\$

25% = $\frac{25}{100}=0.25$

$\frac{3}{5}=0.60$

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3 years ago

In 2013, the population of the state of New York was approximately 19.65 million, and the population of New York City was 8,406,

bonufazy [111]

Approx. 11.244 million people

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3 years ago

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The graph shows the motion of two trains starting at different places on tracks that run side by side. Their speeds can be compa

damaskus [11]

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Step-by-step explanation: vbhnjhbvfcdfgtyhujiuhygvfcdcfvgh

7 0

3 years ago

The diameter of a spindle in a motor is supposed to be 40 mm with standard deviation of 0.5 mm. If the spindle is either too sma

grandymaker [24]

Answer:

It can be used the confidence interval to check the idea.

The confidence interval tells us that the real mean is expected to be between 40.2 and 40.4, with a 95% of confidence.

We can conclude that the mean diameter has moved away from the target value.

Step-by-step explanation:

A method to determine wether the mean diameter has moved away from the target is to calculate a confidence interval over the mean.

This would let us know if the real mean diameter could be 40 mm or not.

If the confidence interval does not include the value 40 mm, we can claim that the mean diameter has moved from the target value.

We will calculate a 95% confidence interval (CI), for which the z-value is z=1.96.

The margin of error is:

$E=z*\sigma/\sqrt{n}=1.96*0.5/\sqrt{100}=0.098\approx 0.1$

Then, the upper and lower limits of the CI are:

$UL=\bar x+z*\sigma/\sqrt{n}=40.3+0.1=40.4\\\\\\ LL=\bar x-z*\sigma/\sqrt{n}=40.3-0.1=40.2$

The confidence interval tells us that the real mean is expected to be between 40.2 and 40.4, with a 95% of confidence.

We can conclude that the mean diameter has moved away from the target value.

8 0

4 years ago