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Vlad1618 [11]
3 years ago
7

12.41 less than the product of 42 and x

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
7 0
12.41 less than the product of 42 and x

= 42x - 12.41
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Highschool level trigonometry!!! Need help knowing step by step how to find answer!
Goshia [24]

Answer:

\theta \approx 82.34^\circ

Step-by-step explanation:

Please refer to the attached diagram. (Apologies if the shading or resolution is a bit off.)

So, we want to find θ.

Since we formed a right triangle, we can use right triangle ratios.

We know the measure of the adjacent side to θ and the hypotenuse.

Therefore, we will use the cosine ratio:

\displaystyle \cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}

The adjacent side is 2 and the hypotenuse is 15. By substitution:

\displaystyle \cos(\theta)=\frac{2}{15}

Now, we will take the inverse cosine of both sides. So:

\displaystyle \theta=\cos^{-1}\Big(\frac{2}{15}\Big)

Use a calculator. Hence:

\theta \approx 82.34^\circ

The angle between the ground and the ladder is about 82.34°.

5 0
3 years ago
Lola gets two 20-minute breaks at work each day. She works 5 days a week. How much time does she spend on break each week?
Maslowich

Answer:

200 minutes / 3 hours & 20 minutes.

Step-by-step explanation:

This is quite simple.

First, since we know that Lola takes two 20 minute breaks at work each day, let's multiply 20 and 2.

20 × 2 = 40

This means she is on break for a total of 40 minutes each day.

Finally, let's take that 40 and multiply it by 5.

40 × 5 = 200

This means she spend 200 minutes (3 hours & 20 mins) on break each week.

8 0
3 years ago
Read 2 more answers
**WARNING** IF YOU ANSWER THIS QUESTION INCORRECTLY OR TRY TO ANSWER WITH FOOLISHNESS YOU WILL GET REPORTED
frozen [14]

The solution is attached as a word file.

Download doc
3 0
3 years ago
KL = 4x +3.<br> JK = 4x + 2, and<br> JL = 45<br> Find KL.
lbvjy [14]

Answer:

KL=23

Step-by-step explanation:

We are given the length of the whole line and its two halves. Since JK and KL make up the line JL, adding them together would make the line JL.

(4x+3)+(4x+2) = 45

8x+5=45

8x=40

x=5

Now we can plug the value of x back into the expression we were given for the line KL.

4(5)+3

23

7 0
3 years ago
Is this correct? I'm really confused xD
denpristay [2]
Yes, your current answer is correct. Divide each term by the divisor. 
4 0
4 years ago
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