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ddd [48]
2 years ago
12

Find the length of side x to the nearest tenth

Mathematics
1 answer:
navik [9.2K]2 years ago
3 0

Answer:

x = 2 sqrt(3)/3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = 1 /x

x sin 60 =1

x = 1 /sin 60

x = 1 / sqrt(3)/2

x = 2 sqrt(3)/3

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Ronch [10]
No youll lose it if you answer too many
7 0
3 years ago
Read 2 more answers
How many liters each of a 35% acid solution and a 80% acid solution must be used to produce 60 liters of a 65% acid solution? (R
serg [7]

Solving a system of equations we will see that we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

<h3>How many liters of each solution do we need to use?</h3>

First, we need to define the variables:

  • x = liters of the 35% acid used.
  • y = liters of the 80% acid used.

We know that we want to produce 60 liters of 65% acid, then we have the system of equations:

x + y = 60

x*0.35 + y*0.80 = 60*0.65

(in the second equation we wrote the percentages in decimal form).

To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:

x = 60 - y

Replacing that in the other equation:

(60 - y)*0.35 + y*0.80 = 60*0.65

y*(0.80 - 0.35) = 60*(0.65 - 0.35)

y*0.45 = 60*0.30

y = 60*0.30/0.45 = 40

So we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

7 0
2 years ago
If an 8 hour workday includes a total break time of 14 5/8% how many hours are used for breaks? Round your answer to the nearest
irina1246 [14]
....................
4 0
3 years ago
Samuel can type nearly 40 words per minute. Use this information to find the number of hours it would take him to type 2.9 × 105
AleksAgata [21]

Answer:

Samuel can type 40 words per minute

Step-by-step explanation:.

Then how many hours will it take for him to type 2.6 words times 10 to the power of five words

=> 2.6 words time 10 to the power of 5

=> 2.6 x 10^5

=> 2.6 x 100 000

=> 260 000 words in all.

Now, we need to find the number of words Samuel can type in a hour

=> 40 words / minutes , in 1 hour there are 60 minutes

=> 40 x 60

=> 2 400 words /hour

Now, let’s divide the total of words he need to type to the number of words he can type in an hour

=> 260 000 / 2 400

=> 108.33 hours.

4 0
3 years ago
What is the midpoint of 10 and 20
erica [24]

Answer:

15

Step-by-step explanation:

Simply subtract the smaller number from the bigger number, and divide by 2. Or add the two numbers together and divide by 2.

6 0
2 years ago
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