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nordsb [41]
3 years ago
13

Angles and geometry!! Please help!

Mathematics
1 answer:
stiks02 [169]3 years ago
6 0

They are complementary angles and acute angles.

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Sketch the situation if necessary and use related rates to solve. Two airplanes are flying in the air at the same height. Airpla
Alexeev081 [22]

Answer:

  -390 mph

Step-by-step explanation:

Let a and b represent, respectively, the distances of A and B from the airport. The distance d between the planes is then given by the Pythagorean theorem as ...

  d² = a² + b²

Differentiating with respect to time, we have ...

  2d·d' = 2a·a' +2b·b'

Solving for d', we get ...

  d' = (a/d)a' +(b/d)b'

The value of d at the time of interest is ...

  d = √(a² +b²) = √(30² +40²) = √2500 = 50

Then the rate of change of separation is ...

  d' = (30/50)(-250 mph) +(40/50)(-300 mph) = (-150 -240) mph

  d' = -390 mph

The distance between planes is decreasing at 390 miles per hour.

4 0
3 years ago
Which of the following equations is written in standard form?
Harlamova29_29 [7]
Standard Form is ax + by = c, where a, b, and c are not fractions and a is not negative.

So, you can go through each of your options to see which ones work with those rules. 

A. 2.5x + 3y = 12   No, this is not in Standard Form. 2.5 can be rewritten as 2<span>\frac{1}{2}, menaing A is a fraction, which you can't have.

B. -10x - 3y = 1   No, this is not in Standard Form. A is -10, but A can't be negative.

C. 2x + 3y = 12   Yes, this is in Standard Form. It follows all of the rules.

D. 5x + 5y = 10   Yes, this is in Standard Form. It follows all of the rules.

So, C and D are both written in Standard Form.


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6 0
3 years ago
I am a number between 1 and 50. I am composite. I have 10 factors. My ones digit is a 6. What number am i
quester [9]
The number is 36 because 1,2,3,4,6,9,12,16,24,36 and that is 10 factors
5 0
3 years ago
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Why do whole numbers with an exponent get bigger while fractions with an exponent get smaller.
ohaa [14]

Raising a whole number to a power means: 

             Take (a number of things) a number of times, and then possibly
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Raising a fraction to an exponent means: 

             Take a piece of (a piece of one thing), and then possibly
              take just a piece of that smaller piece.


8 0
3 years ago
Training has saved $425 to spend during her 14-day vacation about how much money can she spend a day
lukranit [14]
She can spend about $30 per day.
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