Find the GCF 18;45 24;16

Find the measures of two supplementary angles if their measures are in the given ratio. 3:7

NeTakaya

Two supplementary angles are in the ratio 3:7. Find the angles ?

Let the two angles be 3x and 7x.

Supplementary angles add up to 180 degrees.

Therefore:

3x + 7x = 180

10x = 180

x = 18

3x = 3 * 18 = 54

7x = 7 * 18 = 126

4 0

3 years ago

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I think of number I add 14 to the number and multiply the result by 3 if my final answer is 51 what number did I think of

erma4kov [3.2K]

Answer:

-1

Explanation:

Let the number be x.

Then the equation will be:

3(x+18) = 51

=> 3x + 54 = 51

=> 3x = 51 - 54

=> 3x = -3

=> x = -3/3

=> x = -1

So, the number you thought of is -1.

4 0

3 years ago

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A sphere with a radius of 5 cm fits inside a box. Every face of the box is tangent to the sphere. What is the ratio of the volum

BARSIC [14]

Volume of box with side length of 5 = 5^3 = 125

Volume of sphere = (4/3)*pi*5^3 = (4/3)pi * 125

Ratio = 125/(4pi/3)*125 = 1/(4pi/3) = 3/(4pi)

Answer: B

8 0

3 years ago

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W=x+xyz solve for z solve for z

kogti [31]

Once you solve for z, you will get z = -1/y + w/xy. :)

4 0

3 years ago

The director of a state agency believes that the average starting salary for clerical employees in the state is less than $35 c

MrRissso [65]

Answer:

There is not enough evidence to conclude that average starting salary for clerical employees in the state is less than $35,000 per year.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 35,000 dollars per year

Sample mean, $\bar{x}$ = 34,700 dollars per year

Sample size, n = 100

Alpha, α = 0.10

Population standard deviation, σ = 3,500 dollars per year

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 35,000\text{ dollars per year}\\H_A: \mu < 35,000\text{ dollars per year}$

We use one-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{34700 - 35000}{\frac{3500}{\sqrt{100}} } = -0.8571$

Now, $z_{critical} \text{ at 0.10 level of significance } = -1.28$

Since,

$z_{stat} > z_{critical}$

We fail to reject the null hypothesis and accept the null hypothesis.

Thus, there is not enough evidence to conclude that average starting salary for clerical employees in the state is less than $35,000 per year.

3 0

3 years ago