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igor_vitrenko [27]
3 years ago
10

Is 12/42=10/35 a true proportion

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
3 0
Yes, they both are 2/7

Proof: Left-hand side

Simplify the following:
12/42

The gcd of 12 and 42 is 6, so 12/42 = (6×2)/(6×7) = 6/6×2/7 = 2/7:
Answer:  2/7
Right-hand side:

Simplify the following:
10/35
The gcd of 10 and 35 is 5, so 10/35 = (5×2)/(5×7) = 5/5×2/7 = 2/7:
Answer:  2/7
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Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. C = 71°, a = 27, c = 26
guajiro [1.7K]

We have

SinC/ c  = Sin A / a

Sin 71/ 26 = Sin A / 27

Sin A  = 27 Sin 71 /  26  = about .982

So°

Sin-1(.982)  = A  = 79. 08°

Then angle B = 180 - 71 - 79.08 = 29.92°

And b is given by

b/sin29.92  = 26/sin 71

b = 26sin29.92/sin71 =  about 13.72

But A could also be an obtuse angle = 180 - 79.08 =  100.92°

So we have

B = 180 - 71 - 100.92 = 8.08°

And we have

b / sin 8.08  = 26/sin71

b = 26sin8.08/sin 71 = 3.865

8 0
3 years ago
A jet files at an altitude of 52,800 feet. what is the height of the hey on miles
Triss [41]
There are 5,280 feet in a mile. so 52,800 feet is 10 miles.
4 0
3 years ago
Read 2 more answers
The curve with equation y=e^2x/4+3e^x has one stationary point.find the exact value of the coordinates of this point
Softa [21]
y=\dfrac{e^{2x}}{4+3e^x}
\implies y'=\dfrac{2e^{2x}(4+3e^x)-3e^xe^{2x}}{(4+3e^x)^2}
\implies y'=\dfrac{8e^{2x}+3e^{3x}}{(4+3e^x)^2}

Stationary points occur where the derivative is zero. The denominator is positive for all x, so we only need to worry about the numerator.

8e^{2x}+3e^{3x}=e^{2x}(8+3e^x)=0

e^{2x}>0 for all x, so we can divide through:

8+3e^x=0\implies e^x=-\dfrac83

But e^x>0 for all x\in\mathbb R, so this function has no stationary points...

I suspect there may be a typo in the question.
6 0
3 years ago
I'm not sure how to do this please help
IgorLugansk [536]

Answer:

maria will run 1.75 more miles than her goal

Step-by-step explanation:

If you multiply 2.75 to 7 days you will get 19.25. And if you subtract it by 17.5(because that's her goal) you will get 1.75.

So the answer to this question would be:

Maria will run 1.75 more mile than her goal.

7 0
3 years ago
Can anybody help with this
iris [78.8K]
100 =d


your welcome lol
8 0
3 years ago
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