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bazaltina [42]
4 years ago
5

In the right triangle shown, m∠A = 30 degrees, and BC = 6√2, how long is AC?

Mathematics
1 answer:
mart [117]4 years ago
3 0

They're trying to trick you with √2.  Remember in the 30/60/90 triangle the sides are in ratio 1:√3:2, with the "1" opposite the 30 degrees.

Here we have

1:√3:2  = 6√2:x:hypotenuse

or

x/(6√2) = √3/ 1

x = 6√2×√3 = 6√6

Answer: AC=6√6

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2) Lucy spent $15, 500 to purchase a new car this year. Lucy can expect her car to depreciate at a rate of 7% per year.
Lelechka [254]

Answer:

<u>Equation: V = C * (1 - r)^t</u>

<u>Answer: $ 8,066.37</u>

Step-by-step explanation:

Let's recall that depreciation on a car can be determined by the formula:

V = C * (1 - r)^t , where:

V is the value of the car after t years,

C is the original cost

r is the rate of depreciation

t is the number of years of utilization of the car

Therefore, we have:

V = C * (1-r)^t

V = 15,500 * (1 - 0.07)⁹

V = 8,066.37 (rounding to the next cent)

5 0
3 years ago
Three lights all go on one changes every 5 sec one every 6 sec one every 8 sec when will they all go on together
inysia [295]
In order to calculate, you need to find their LCM
LCM of 5,6 and 8 is equal to 120

So, That time will be 120 sec = 2 min.
In short, Your Final Answer would be 2 min.

Hope this helps!
3 0
4 years ago
Need help ASAP and will give brainliest if right!
Luba_88 [7]

Answer: The answer is converges r=1/7

4 0
4 years ago
Consider the equation below
s344n2d4d5 [400]

Answer: B

Step-by-step explanation:

Let's solve the given equation. Then we can see which other equation has the same answer.

-5n+31=-14n-5

36=-9n

n=-4

We need to fina another equation that gives n=4 as the answer.

A. Incorrect

3-6n+3n=-3+4-4n

3-3n=1-4n

n=-2

B. Correct

\frac{11}{4} n+2=-3+\frac{3}{2}n

\frac{5}{4}n=-5

n=-4

C. Incorrect

1=0.75n+3.25

-2.25=0.75n

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D. Incorrect

-1-22n=-20n-9

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n=4

7 0
3 years ago
17 divided by what equals 43
irina [24]
You have to multiply 43 by 17 to get the missing number.

8 0
3 years ago
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