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musickatia [10]

3 years ago

14

Angles 4, 5, and 6 are in the ratio 2:5:3. Find the measure of each angle

1 answer:

garri49 [273]3 years ago

4 0

Answer:

The angles 4, 5 and 6 are 36, 90 and 54 respectively.

Step-by-step explanation:

First, let's find the total number of parts:

2 + 5 + 3 = 10

The amount of degrees per part is 180 / 10 = 18.

Now, we multiply that factor to the ratio:

$2*18 : 5*18 : 3*18//36:90:54$

Thus, the angles 4, 5 and 6 are 36, 90 and 54 respectively.

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Help me please I need this done by tomorrow!!!!

Reptile [31]

12) 12, 8

12 - 8 = 4

12 + 8 = 20

Answer: 4 < x <span>< 20

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11 - 3 = 8

11 + 3 = 14

Answer: 8 </span>< x <span>< 14

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3 0

3 years ago

Give a 98% confidence interval for one population mean, given asample of 28 data points with sample mean 30.0 and sample standar

klio [65]

We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:

$\begin{gathered} 1-\alpha=0.98 \\ \alpha=0.02 \end{gathered}$

The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:

$CI(\mu)=\lbrack x-Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}},x+Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}}\rbrack$

Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:

$CI(\mu)=\lbrack30.0-Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}},30.0+Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}}\rbrack$

Where (from tables):

$Z_{0.99}=2.33$

Finally, the interval at 98% confidence level is:

$CI(\mu)=\lbrack28.94,31.06\rbrack$

4 0

1 year ago

Mary rented a truck for one day. There was a base fee of $13.50, and there was an additional charge of 9 cents for each

marishachu [46]

Answer:

15.3 dollars

Step-by-step explanation:

13.50 + (.09 x 20 = 1.8)

13.50 + 1.8

5 0

2 years ago

The first four terms of a sequence are shown below:

Marta_Voda [28]

Answer:

Step-by-step explanation:

Since each term is decreased by three $f(n+1)=f(n)-3$

7 0

2 years ago

Find the sine of angle S. Reduce the answer to the lowest terms.

NeX [460]

Answer:

$\sin e\text{ S = }\frac{3}{5}$

Explanation:

Here, we want to get the value of sine S

The sine of an angle is the ratio of the opposite side to the hypotenuse side

The hypotenuse side is the side that faces the right angle which is the small box. It is the longest side of the triangle and it measures 10

The opposite is the side that faces the angle which is 6

We have the sine as:

$\frac{6}{10}\text{ = }\frac{3}{5}$

8 0

11 months ago