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Lera25 [3.4K]
3 years ago
15

If one angle of a parallelogram measures 80° what are the measures of the other three angles in a parallelogram

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
6 0

In a parallelogram the 4 angles need to sum to 360 degrees. There are two sets of identical angles, so one of the other angles would also be 80 degrees.

Now find the other two angles:

360 - 80 - 80 = 200 degrees

200 degrees / 21 = 100 degrees each.

The other 3 angles are: 80, 100 and 100

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t is known that the population variance equals 484. With a 0.95 probability, the sample size that needs to be taken if the desir
PtichkaEL [24]

Answer:

The sample size needed to be taken is approximately 74.

Step-by-step explanation:

To get alpha; we have 1 - 0.95 = 0.05

Therefore, z_{\frac{a}{2} }  = \frac{0.05}{2}  = 0.025

The we look up z* in a Standard Normal table where α = 0.025 area in each tail.

From the table, z* = 1.96

From the question variance is 484, then the standard deviation is 22

Standard deviation = \sqrt{Var(x)}  = \sqrt{484}  = 22

And margin of error is 5 or less

The formula for margin of error is given as:

margin of error = \frac{(z^{*}) (SD)}{\sqrt{n} }

5 = \frac{1.96  * 22}{\sqrt{n} } \\5 = \frac{43.12}{\sqrt{n} } \\5 * \sqrt{n}  = 43.12\\(5)^{2}  * (\sqrt{n} )^{2} = (43.12)^2\\25 * n = 1859.3344\\25n =  1859.3344\\\frac{25n}{25}  = \frac{1859.3344}{25} \\n = 74.373376\\n = 74

The approximate value of n is 74.

3 0
3 years ago
The area of the base of a rectangular prism is 4 3/4 ft², and the height is 2 1/3 ft. Determine the volume of the rectangular pr
slamgirl [31]

Answer:

Step-by-step explanation:

The volume of a rectangular prism is calculated multiplying the area of the prism times the height of the prism.

The area of the base of your prism is 4 3/4 ft2, so you are going to multiply it times the height that is 2 1/3 ft.

The result must be: 11.07 ft³

7 0
3 years ago
I suck at story problems can I please have help?
Mamont248 [21]

a.

b=cost per burrioto

t=cost per taco


b.

3 burritos and 4 tacos costs 11.33; 3b+4t=11.33

9 burritos and 4 tacos costs 22.07; 9b+4t=22.07


c. solve

3b+4t=11.33

9b+4t=22.07

mulitply irst equation by -1 and add to 2nd to cancel t's


-3b-4t=-11.33

<u>9b+4t=22.07 +</u>

6b+0t=10.74


6b=10.74

divide both sides by 6

b=1.79

subsitute back


3b+4t=11.33

3(1.79)+4t=11.33

5.37+4t=11.33

4t=5.96

divide both sides by 4

t=1.49


solution: 1 taco costs $1.49 and 1 burrito costs $1.79

6 0
4 years ago
BRAINLIEST FOR RIGHT ANSWERS!
exis [7]

Answer:

The formula for finding volume of a cone is (in this case),

V=(3.14)(r^2)(h/3)

With this formula in mind, you would simply substitute in.

V=(3.14)(2^2)(9/3)

You could work that out for yourself on your own, but to save you the time, it is 37.68 in. cubed.

Step-by-step explanation:

hope i helped

6 0
3 years ago
Read 2 more answers
A crew is made up of 8 men; the rest are women. If 32 % of the crew are men, how many people are in the crew?
Lelechka [254]

Answer:

12

Step-by-step explanation:

(66 2/3)

---------- (x) = 8

  100

Solve for x

(66 2/3)x = 800

x = 800/(66 2/3)

x = 800/(200/3)

x = 800(3/200)

x = 4(3)

x = 12

8 0
3 years ago
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