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Varvara68 [4.7K]
2 years ago
11

What is the measure of A. Cannot be determined B. 74 C. 16 D. 32

Mathematics
1 answer:
Levart [38]2 years ago
3 0
The answer would be D. 32

Why? The triangle in the problem is an isosceles triangle. That means the two legs of the triangle are equal and the angle opposite to the equal legs are also equal. 

Therefore, angle C is also 74°. 

The sum of the interior angles of a triangle is equal to 180°.
Thus, 
      180° = ∡A + ∡B + ∡C
      180° = 74° + ∡B + 74°
      180° = 148° + ∡B
        ∡B = 180° - 148°
        ∡B = 32°
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Tim and Tom are painters. Tim and Tom are painting a crate. Tom paints 10 sq ft per minute. They painted a particular crate in 1
slava [35]
Tom-------------- >10 sq ft per minute

Tim------------------- >3.5*10=35 sq ft per minute

 Both painters (10+35)=45 sq ft per minute

 let's assume a cubic unit crate----------> V1=1*1*1=1 feet3

<span>the total surface of the cube is S1=6*(1*1)=6 </span>sq ft

 if the volume of the cube increases twice 

V2=2 feet3 ------------------- >    2=x*x*x------------- >x=2^(1/3)

And the S2=6*(2^(1/3)*<span> 2</span>^(1/3)=9.5244 sq ft

V2/V1=9.5244/6=1.5874

Therefore

If Tim and Tom----------------------- > take 1 day----------- > to paint a crate V1

For the crate V2------------- > take 1.5874 days 

assuming an 8-hour work day

 0.5874*8=4.70 hr-------------- > 4 h 42 min

 The answer is 1 day 4h 42 min

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3 years ago
Is y=2 2 -5x linear or non linear​
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melisa1 [442]

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2 years ago
Sylvia worked 3 hours and 45 minutes, while Paul worked 4 hours and 35 minutes. What’s the ratio of Sylvia’s work time to Paul’s
alexira [117]
Answer: 9 / 11

That is approximately 0.82


Explanation:

The ratio of two quantities x and y is x divided by y, i.e. the quotient x / y.

So, the ratio of Sylia's work time to Paul's work time is:

Sylvia's work time
---------------------------
Paul's work time

Given that you have the times in mixed units, hours and minutes, you must convert to one of the, either hours or minutes.

If you choose to work with hours, this is the work:

1) Silvia's time: 3 hours and 45 minutes = 3 hours + 45 / 60 hours = 3hours + 0.75 hours = 3.75 hours

2) Paul's work time: 4 hours and 35 minutes = 4 hours + 35/60 hours = 4 hours + 7/12 hours = (48+7)/12 = 55/12 hours ≈ 4.58 hours

3) Ratio:

Sylvia's work time             3.75 hours            3.75*12         45          9
------------------------- =      --------------------- = ---------------- =  -------- =   -----
Paul's work time               (55/12) hours            55              55         11

≈ 0.82

You can calculate the ratio using minutes and shall obtain the same result. Look:

1) 3 hours + 45 minutes = 3 * 60  minutes + 45 minutes = 180 minutes + 45 minutes = 225 minutes

2) 4 hours + 35 minutes = 4*60 minutes + 35 minutes = 240 minutes + 35 minutes = 275 minutes

3)

225 minutes          9
----------------- =     ------, which is the same result obtained above.
275 minutes         11
3 0
3 years ago
Read 2 more answers
655% of what number is 26,200?
sukhopar [10]

Answer:4000

Step-by-step explanation:

Let them number be a

655% of a=26200

655/100 x a=26200

655a/100=26200

Cross multiplying we get

655a=26200x100

655a=2620000

Divide both sides by 655

655a/655 = 2620000/655

a=4000

3 0
3 years ago
Read 2 more answers
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