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stellarik [79]
3 years ago
9

Questions. multiple choicw

Mathematics
1 answer:
jeyben [28]3 years ago
6 0
11. 8 * 18 = 144 in³, Option D

12. Half the height of 8 cm is 4 cm. Volume = 4 * 6 * 10 = 240 cm³, Option D

13. Double the dimensions you get 8 cm for the height, 6 cm for the radius. Then plug in. V = pi * (6)² * 8 >> pi * 36 * 8 = 288pi or ≈ 904.78, Option C

14. Half of all the dimensions are 1 in, 4 in, and 3 in. 1 * 4 * 3 = 12 in³, Option B

15. \frac{10}{16} =  \frac{x}{18} >> 16x = 180 >> x = 11.25 so Option B

16. Option D, 10 cm.

17. Option C, 8.5 in

18. Option B. 10.2 km

19. Option D. 0.82

20. cos 30 = b / 11.5 >> b = 11.5(cos (30)) = 9.96 m, Option C. 
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In the diagram below, A C ≅ C E , and D is the midpoint of CE. If CE = 10x+18, DE = 7x-1, and BC = 9x+2, find AB.
mezya [45]

Answer:

5x+10

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
In circle F with m∠EFG=54m∠EFG=54 and EF=19
elena-14-01-66 [18.8K]

Answer:

17.907082 unit

Step-by-step explanation:

According to the Question,

Given, A circle with centre F, ∠EFG=54 and EF=19 .

length of arc EG = Radius(EF) × ∠EFG(in Radian)

  • We Know, 1 degree = 0.0174533 Radian
  • 54 degree = 0.942478 Radian

length of arc EG = 19 x 0.942478 ⇔ 17.907082 unit

(For Diagram please find in attachment)

3 0
3 years ago
25% of the accountants in a business are female. if there are 360 accountants altogether how many accountants are female ? round
Darina [25.2K]
360 × 25% = 90 female accountants
3 0
4 years ago
Write a rule in function notation for each situation:
algol [13]

Answer:

1. \bold{S=f(P) = 0.07P}

2. x = 16

3. Part 1: P is the independent variable and S is the dependent variable.

Part 2: x is the independent variable and y is the dependent variable.

Step-by-step explanation:

1. To write the function notation for:

Sales tax is 7% of the total price.

Let the total price be P.

And sales tax be S.

As per the given statement:

S = 7\% \ of\ P\\\Rightarrow S =\dfrac{7}{100}P\\\Rightarrow S=0.07P

Writing it in the function notation:

\bold{S=f(P) = 0.07P}

2. To find the value of x such that f(x) = 14 and

f(x) = \dfrac{1}4x + 10

Putting the value of f(x) = 14

14 = \dfrac{1}4x + 10\\\Rightarrow \dfrac{1}4x =14-10\\\Rightarrow \dfrac{1}4x =4\\\Rightarrow x =4\times 4\\\Rightarrow \bold{x =16}

3. To find the dependent and independent variable.

Independent variables are those whose value is not dependent on the other variable's values.

Dependent variables are dependent on the value of other variables.

In question 1:

\bold{S=f(P) = 0.07P}

P is the independent variable.

S is the dependent variable.

In question 2:

If we write it as follows:

y=f(x) = \dfrac{1}4x + 10

x is the independent variable and y is the dependent variable.

5 0
4 years ago
After four years of college, Erica has to start paying off all her student loans. Her first payment is due at the end of this mo
tatiyna

Answer:

Therefore, the approximate monthly payment is $548.85

Step-by-step explanation:

The amount of student loans Erica currently has = $34,006.00

The duration over which Erica is to pay back the loan = 7 years

The annual interest rate for the loan = 9.1%

Therefore, we have the geometric sequence formula is given as follows;

A_n = P( 1 + r)^n - M \times \left [ \dfrac{(1 + r)^n-1}{r} \right ]

Where;

M = The monthly payment

P = The initial loan balance = $34,006.00

r = The annual interest rate = 9.1%

n = The number of monthly payment = 7 × 12 = 84

Aₙ = The amount remaining= 0 at the end of the given time for payment

Substituting the values into the above formula, , we get;

0 = 34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} - M \times \left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]

M = \dfrac{34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84}  }{\left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]} \approx 548.85

Therefore, the approximate monthly payment = $548.85

6 0
4 years ago
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