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Alexandra [31]
3 years ago
15

The measure of angle

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
8 0
Answer:
120 degrees

Explanation:
Opposite angles (angles that are on opposite sides of an intersection) are equal to each other. Because angle 2 and 120 degrees are opposite angles, angle 2 is equal to 120 degrees.

I hope this helped if it did, a brainliest would be much appreciated:)
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Two competing headache remedies claim to give fast-acting relief. An experiment was performed to compare the mean lengths of tim
DaniilM [7]

Answer:

t = 0.875

Step-by-step explanation:

Given

<u>Brand A</u>            <u>Brand B</u>

n_ 1= 12               n_2 = 12

\bar x_1 = 21.8            \bar x_2 = 18.9

\sigma_1 = 8.7              \sigma_2 = 7.5

Required

Determine the test statistic (t)

This is calculated as:

t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} +  \frac{1}{n_2}}}

Calculate s using:

s = \sqrt{\frac{(n_1-1)*\sigma_1^2+(n_2-1)*\sigma_2^2}{n_1+n_2-2}}

The equation becomes:

s = \sqrt{\frac{(12-1)*8.7^2+(12-1)*7.5^2}{12+12-2}}

s = \sqrt{\frac{1451.34}{22}}

s = \sqrt{65.97}

s = 8.12

So:

t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} +  \frac{1}{n_2}}}

t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{12} + \frac{1}{12}}}

t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{6}}}

t = \frac{21.8 - 18.9}{8.12 * 0.408}}

t = \frac{2.9}{3.31296}}

t = 0.875

3 0
3 years ago
What is the height of an object thrown when time is 6 seconds? Also explain how u got your answer
nevsk [136]

Answer:

946.4\ m

Step-by-step explanation:

Let

h(t) ---> the height of an object in meters

t ----> the time in seconds

we have

h(t)=-2.6t^2+40t+800

For t=6 sec

substitute in the quadratic equation  the value of t and solve for h

h(6)=-2.6(6)^2+40(6)+800

h(6)=946.4\ m

4 0
3 years ago
Bob harvested flour from 4 of his fields. From the first field, he harvested 13 ton of flour. The second field yielded 24 ton of
DIA [1.3K]
Bob harvested 65 tons total (13 + 24 + 14 + 14)
and as far as drawing a diagram I don't know what to tell you 

hope this helps
6 0
3 years ago
Madeleine owes $36,000 to a private lender. The debt grows with 12% annual interest that compounds every week. How much will Mad
viva [34]

Answer:

A= $40584.28      

Step-by-step explanation:

P = 36000

r = 12% = 0.12

n = 52 weeks

t = 1

A = P(1 + \frac{r}{n})^{nt}\\

   =36000(1 + \frac{0.12}{52})^{52 \times 1}\\\\=36000 (1.002307)^{52}\\\\=36000 \times 1.12734\\\\=40584.28

7 0
3 years ago
What is the value of s ?
Leto [7]

Answer:

36.7 degrees. A straight line is 180 degrees.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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