All categories

3 years ago

NEED HELP!!?? 40 pts See attached image (Pre-Cal)

Mathematics

1 answer:

Naya [18.7K]3 years ago

7 0

Answer:

8(cos(π) +i·sin(π))

Step-by-step explanation:

The number in parentheses has a magnitude of ...

√(1^2 +(√3)^2) = √4 = 2

Then the cube of that number will have a magnitude of 8, eliminating the 2nd and 4th choices

The angle of the number in parentheses is ...

arctan(-√3/1) = -π/3

Then 3 times that angle will be -π, also π.

The number of interest has a magnitude of 8 and an angle of π, so is written in the desired form as ...

8(cos(π) +i·sin(π)) . . . . . matches the 3rd choice

You might be interested in

6) BRAINLIEST & 10 + POINTS!

MA_775_DIABLO [31]

Answer:

the height of the building is approximately 134 yards

Step-by-step explanation:

Recall that i order to use the arc-length formula:

$arc\,\,length=R\,\theta$

we know the radius R, but the angle $\theta$ must be given in radians. Then we convert $4.5^o$ to radians, and then use 1700 yards as the radius in the formula.

$4.5^o*\frac{\pi}{180} =0.07854$

Therefore, the arc length formula would render:

$arc\,\,length=R\,\theta\\arc\,\,length=1700\,(0.07854)=133.518\, yards$

which rounded to the nearest yard becomes: 134 yards

6 0

3 years ago

Read 2 more answers

Eight people are entered in a race. If there are no ties, in how many ways can the first three places come out? a.336 b.368 c.67

Luden [163]

The first thing to do is to calculate how many ways you can choose 3 people from a set of eight. In order to do this, we need to use the attached formula.
(The letter 'n' stands for the entire set and 'r' stands for the number of objects we wish to choose.)
So we wish to choose 3 people ('r') form a set of 8 ('n')
combinations = n! / r! * (n - r)!
combinations = 8 ! / (3! * 5!)
combinations = 8 * 7 * 6 * 5! / (3!) * (5!)
combinations = 8 * 7 * 6 / 3 * 2
combinations = 56

Now of those 56 combinations, the 3 people can finish in 6 different ways.
For example, persons A, B and C could finish
ABC or ACB or BAC or BCA or CAB or CBA

So to get the TOTAL combinations we multiply 56 * 6 which equals
336 so the answer is (a)

8 0

3 years ago

Beatrice has at least one quarter, one dime, one nickel, and one penny. She has exactly 13 coins total. Beatrice also has a tota

prohojiy [21]

Answer:

(Q, D, N, P) = (0, 7, 4, 2) or (1, 3, 7, 2)

Step-by-step explanation:

Let the numbers of coins be Q, D, N, P

We have:

Q + D + N + P = 13

25Q + 10D + 5N + P = 92

Obviously, P = 2, so

Q + D + N = 11 (1)

25Q + 10D + 5N = 90

Divide by 5 and get

5Q + 2D + N = 18 (2)

(2) - (1), get

4Q + D = 7

Let D = 7, Q = 0, from (1), N = 4, so the set is (Q, D, N, P) = (0, 7, 4, 2)

Let D = 3, Q = 1, from (1), N = 7, so the set is (Q, D, N, P) = (1, 3, 7, 2)

If D = 6, 5, 4, 2, 1, 0, Q is not an integer, these can be ignored.

6 0

2 years ago

The chart shows the nutritional facts for a nutrition bar.

Vilka [71]

Answer:

259.27

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

How many yards must you run to complete a 100 meter dash

Natasha_Volkova [10]

If you were to convert meters to yard, 100 meters would be converted to about 109.361 yards.

3 0

3 years ago