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2 years ago

The diagram shows a regular dodecagon.Work out the size of one interior angle

Mathematics

1 answer:

nikdorinn [45]2 years ago

5 0

Answer:

150°

Step-by-step explanation:

number of terms=12

sum of exterior angles=360

one exterior angle=360/12=30

interior angle=180-30=150°

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Y=2 Enter the solution (x, y) to the system of equations shown 7y+3x=5

AnnyKZ [126]

Answer:

(x, y) = (-3, 2)

Step-by-step explanation:

Put the given value of y into the equation and solve for x.

... 7·2 +3x = 5

... 3x = -9 . . . . . . subtract 14

... x = -3 . . . . . . . divide by the x-coefficient

The solution (x, y) is (-3, 2).

6 0

3 years ago

If we get the 100 from number 1 each year for ten years and invest each payment in an account that earns 8% how much will be the

blsea [12.9K]

Answer:

$1,448.66

Step-by-step explanation:

The future value of an annuity with yearly deposits 'P' at an interest rate of 'r' invested for 'n' years is determined by:

$FV = P[\frac{(1+r)^n-1}{r}]$

For P = $100, r = 0.08 and n = 10 years:

$FV = 100[\frac{(1+0.08)^{10}-1}{0.08}]\\FV=\$1,448.66$

The amount at the end of the ten years is $1,448.66

4 0

3 years ago

Which of the following is the endpoint of the altitude of a regular pyramid

larisa [96]

It’s either vertex or base

4 0

3 years ago

You can do both problems if want

Agata [3.3K]

A= π r2 and v=3.14d

---Volume(v=3.14d):

3.14(15) equals 47.1

47.1 rounds to 47

nearest hundreth would be 0 that rounds to .1 or .10,which rounds to 47
v=47

---Area(π r2)

3.14(7.5)^2 is 3.14(56.25)
176.625

176.625 rounded to the nearest hundreth is 176.630.

Answer:

The area of a circle with the diameter of 15 is 176.630.

4 0

3 years ago

Using calculus, it can be shown that if a ball is thrown upward with an initial velocity of 16 ft/s from the top of a building 7

Karolina [17]

Answer:

[0, 7]

Step-by-step explanation:

We want the height to be greater than or equal to 32 ft, so ...

704 +16t -16t^2 ≥ 32

t^2 -t -42 ≤ 0 . . . . . . . . . . . subtract 32, divide by -16

(t -7)(t +6) ≤ 0

This inequality will be true for values of t between -6 and +7. Since we're only concerned with times t ≥ 0, the appropriate solution interval is ...

0 ≤ t ≤ 7 . . . . [0, 7] in interval notation

6 0

3 years ago