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Fiesta28 [93]
4 years ago
10

If the length of side a is 16 centimeters, the length of side b is 10 centimeters, and m = 42°, what is the measure of ? Round y

our answer to two decimal places.
Mathematics
1 answer:
kupik [55]4 years ago
5 0

Answer:Substitute the given values in the Law of Sines and find that the measure is 24.72°

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The radius of a circular disk is given as 21 cm with a maximum error in measurement of 0.2 cm.
ella [17]

Answer:

a) \Delta A \approx 26.389\,cm^{2}, b) r_{A} \approx 0.019, c) \delta = 1.9\,\%

Step-by-step explanation:

a) The area of the circular disk is modelled after this expression:

A = \pi \cdot r^{2}

The total differential is given by the following formula:

\Delta A = 2\pi r \cdot \Delta r

The maximum absolute error in the calculated area of the disk is:

\Delta A = 2\pi \cdot (21\,cm)\cdot (0.2\,cm)

\Delta A \approx 26.389\,cm^{2}

b) The relative error is given by:

r_{A} = \frac{\Delta A}{A}

r_{A} = \frac{26.389\,cm^{2}}{\pi \cdot (21\,cm)^{2}}

r_{A} \approx 0.019

c) The percentage error is:

\delta = r_{A}\times 100\,\%

\delta = 0.019 \times 100\,\%

\delta = 1.9\,\%

3 0
3 years ago
PLS HELP WITH THESE ILL GIVE BRAINLIEST
zysi [14]

Answer:

1.) y=2x-2

2.) y=-5/4x+3

3.) y=7/8x=2

4.) 5/3

Step-by-step explanation:

8 0
3 years ago
Melissa has 885 cards and she wants to store them in envelopes. She has 35 envelopes. How many envelopes does she need
Verizon [17]

Answer:

I don't know

Step-by-step explanation:

I don't understand the point of this probem. It says that she has 35 envelopes best it doen't say how much can fit into each one. Maybe you ftogot some details pls reply in the comments.

8 0
3 years ago
A nail manufacturer throws out nails with lengths that are not within 0.05 inch of the mean of the batch. The lengths (in inches
Natasha_Volkova [10]

Answer:

0.42  & 0.55

Step-by-step explanation:

Mean length =  0.42 + 0.53+ 0.55 + 0.48 + 0.51/5

                     =  0.498

0.42 -  0.498  =   - 0.078‬    

0.53 -  0.498  =     0.032‬

0.55 -  0.498  =     0.052‬

0.48 - 0.498  =    - 0.018‬

0.51  - 0.498  =      0.012‬

The nails to be thrown out are:

0.42  & 0.55 because their deviations from the mean are not within 0.05 inch

7 0
4 years ago
Look at the chart and answer the question. Which country has about four times as much helium as Canada?
garri49 [273]
Canada is 4, and you multiply it by 4 the answer is 16, then choose the closest percentage, so the answer is Algeria
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3 years ago
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