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zzz [600]
3 years ago
6

The lengths of the sides of a rectangle are 12.4 and 26. What are the measures of the angles between its diagonals? Round your a

nswers to the nearest whole number.
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
8 0

Answer:

129 and 51 degrees.

Step-by-step explanation:

Drawing a diagonal gives us a triangle  with the opposite side = 12.4 and the adjacent side = 26.

tan x = 12.4 / 26

x = 25.497 degrees.

The other angle will be 90 - 25.497

= 64.503 degrees.

One of the diagonal angles is  180 - (2*25.497)

= 129 degrees

and the other  is 180 - 129 = 51 degrees.

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A library had 6422 music CDs stored on 26 shelves. If the same number of CDs were stored on each shelf, how many CDs were stored
sattari [20]
Simply divide the number of CDs by the number of shelves. 6422 / 26 = 247  247 CDs per shelf.
8 0
3 years ago
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Plz help but not if you don't know
balandron [24]
I hope this helps you



Euclid



h^2=4.6



h=2 square root of 6



h^2+6^2=base^2


24+36=base^2


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5 0
3 years ago
Polly is a server at a
Anna [14]

Answer:

They gave her a $6.12 tip

Step-by-step explanation:

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8 0
2 years ago
Name the values Of the 4s in the number 400,440
gavmur [86]

The first value of 4 is in the tens place.

The second value of 4 is in the hundreds place.

The third value of 4 is in the hundred thousands place

40

400

400,000

6 0
3 years ago
A random sample of n observations is selected from a normal population to test the null hypothesis that muμequals=10. Specify th
brilliants [131]

Answer:

Step-by-step explanation:

a) H0: μ = 10

Ha: μ ≠ 10

This is a two tailed test

n = 13

Since α = 0.01, the critical value is determined from the t distribution table. Recall that this is a two tailed test. Therefore, we would find the critical value corresponding to 1 - α/2 and reject the null hypothesis if the absolute value of the test statistic is greater than the value of t 1 - α/2 from the table.

1 - α/2 = 1 - 0.01/2 = 1 - 0.005 = 0.995

The critical value is 3.012

The rejection region is area > 3.012

b) Ha: μ > 10

This is a right tailed test

n = 23

α = 0.1

We would reject the null hypothesis if the test statistic is greater than the table value of 1 - α

1 - α = 1 - 0.1 = 0.9

The critical value is 1.319

The rejection region is area > 1.319

c) Ha: μ > 10

This is a right tailed test

n = 99

α = 0.05

We would reject the null hypothesis if the test statistic is greater than the table value of 1 - α

1 - α = 1 - 0.05 = 0.95

The critical value is 1.66

The rejection region is area > 1.66

d) Ha: μ < 10

This is a left tailed test

n = 11

α = 0.1

We would reject the null hypothesis if the test statistic is lesser than the table value of 1 - α

1 - α = 1 - 0.1 = 0.9

The critical value is 1.363

The rejection region is area < 1.363

e) H0: μ = 10

Ha: μ ≠ 10

This is a two tailed test

n = 20

Since α = 0.05, we would find the critical value corresponding to 1 - α/2 and reject the null hypothesis if the absolute value of the test statistic is greater than the value of t 1 - α/2 from the table.

1 - α/2 = 1 - 0.05/2 = 1 - 0.025 = 0.975

The critical value is 2.086

The rejection region is area > 2.086

f) Ha: μ < 10

This is a left tailed test

n = 77

α = 0.01

We would reject the null hypothesis if the test statistic is lesser than the table value of 1 - α

1 - α = 1 - 0.01 = 0.99

The critical value is 2.376

The rejection region is area < 2.376

7 0
3 years ago
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