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Natalka [10]
2 years ago
9

Find the missing dimension of the figure below: 18" 18" 9"

Mathematics
1 answer:
Nuetrik [128]2 years ago
6 0

Answer:

√(243)

Step-by-step explanation:

a2+b2=c2

c2 = Hypotenuse

a2 = Leg

b2 = Second Leg

givens

18 = c2 = Hypotenuse

9 = a2 = One Leg

9 sqaured + b squared = 18 squared

81 + b squared = 324

-81                          -81

---------------------------------

b squared = 243

b = square root 243

b = √(243)

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Find the measure of the arc. Please help!
kolbaska11 [484]

Answer:

The value of mEFD = 214°

Step-by-step explanation:

Given that the measure of the degree of one of the central angles of an inner circle is 146°.

We know that sum of all central angles is 360°.

In other words, in our case

mEFD + 146° = 360°

Thus, we can determine the mEFD using the equation

mEFD + 146° = 360°

so subtracting 146° to both sides

mEFD + 146° - 146°  = 360° - 146°

mEFD = 214°

Therefore, the value of mEFD = 214°

4 0
3 years ago
B+8b -5 -2b = 16 what does b equal
kotegsom [21]

Answer:

b=3

Step-by-step explanation:

b+8b -5 -2b = 16 Simplify

7b - 5 = 16 Add 5 on both sides

7b = 21 divide 7 on both sides

b = 3

8 0
3 years ago
Read 2 more answers
What is the slope and the y-intercept of the graph of y = 8/9x - 8
Rudiy27
Slope: 8/9
y-intercept: (0,-8)

If needed hope this answers your question!!

4 0
3 years ago
According the the U.S. Department of Education, full-time graduate students receive an average salary of $15,000 with a standard
Firdavs [7]

Answer:

Step-by-step explanation:

Given that :

population Mean = 15000

standard deviation= 1200

sample size n = 100

sample mean = 16000

The null and the alternative hypothesis can be computed as follows:

\mathtt{H_o : \mu = 15000 }\\ \\ \mathtt{H_1 : \mu >  15000}

Using the standard normal z statistics

z = \dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}}

z = \dfrac{16000 -15000}{\dfrac{1200 }{\sqrt{100}}}

z = \dfrac{1000}{\dfrac{1200 }{10}}

z = \dfrac{1000\times 10}{1200}

z = 8.333

degree of freedom = n - 1 = 100 - 1 = 99

level of significance ∝ = 0.05

P - value from the z score = 0.00003

Decision Rule: since the p value is lesser than the level of significance, we reject the null hypothesis

Conclusion: There is sufficient evidence  that the Dean claim for his graduate students earn more than average salary of $15,000

5 0
4 years ago
What is the weighted average cost of capital if a business has a cost of equity of 12%, a cost of debt of 10%, tax rate of 25%,
kvv77 [185]

If the cost of equity is 12% , cost of debt 10%, tax rate 25%, 20 million market value of debt , 60 million market value of equity then the weighted average cost of capital is 10.875%

Given cost of equity is 12% , cost of debt 10%, tax rate 25%, 20 million market value of debt , 60 million market value of equity.

We know that weighted average cost of capital= cost of equity* weight of equity+ cost of debt* weight of debt.

Cost of debt (consider after tax)=10%(1-25%)

=10%*0.75

=0.075

Weight of equity=60/80

=0.75

Weight of debt=20/80

=0.25

Weighted average cost of capital=12%*0.75+0.075*0.25

=0.09+0.01875

=0.10875

=10.875%

Hence the weighted average cost of capital is 10.875%

Learn more about weighted average at brainly.com/question/18554478

#SPJ4

8 0
2 years ago
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