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3 years ago

If the measure of an angle is twenty less than the measure of its complement, what is the measure of the angle?

1 answer:

5 0

That angle would be 35 degrees.

Complementary angles equal 90 degrees. So you can create an equation with x as the angle and its complement being x + 20. Set that equal to 90 and solve.

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a culture started with 2000 bacteria. after 6 hours it grew to 2400 bacteria. predict how many bacteria will be present after 16

valentina_108 [34]

Hi!

Let's find how much bacteria it grows per hour.
2400 - 2000 = 400
bacteria per (divided by) hour
400/6 = 66.7
After 16 hours...
66.7 x 16 = 1067.2
Plus the original amount of bacteria
1067.2 + 2400 = 3467.2

The answer is 3067.2

Hope this helps! :)
-Peredhel

8 0

3 years ago

What is the 8th term of the sequence 1, 3, 9, 27, 81,... .

slega [8]

9514 1404 393

Answer:

2187

Step-by-step explanation:

This geometric sequence has a first term of 1 and a common ratio of 3. Its general term can be written as ...

an = a1·r^(n-1)

an = 3^(n-1)

Then the 8th term is ...

a8 = 3^(8-1) = 2187

4 0

3 years ago

Complete to get an equal ratio<br> 3x/y = ? /2y

amid [387]

Answer:

Step-by-step explanation:

3x/y=x/2y

Since 2y is 2X greater than y, 6x is 2X greater than 3x.

So,

The answer is 6x.

5 0

3 years ago

Use your knowledge on the triangle proportionality theorem to find the missing side length indicated. Be sure to explain the pro

ikadub [295]

Answer:

? = 4.29

Step-by-step explanation:

Remark

Let x be the question mark. You get the proportionality by using the dimensions of the little triangle to the dimensions of the large triangle.

Equation

14/(14+ 4) = 15/(x + 15) Combine like terms on the left

14/18 = 15/(x + 15) Cross multiply

14*(x + 15) = 18 * 15 Simplify the right

14(x + 15) = 270 Divide by 14

x + 15 = 270 / 14

x + 15 = 19.29 Subtract 15 from both sides

x = 19.29 - 15

x = 4.29

6 0

3 years ago

The probability of an event is 1. What do you know about the event?

Harrizon [31]

Answer: A probability of 1 means the event is certain to happen. A probably of zero means the event is certain not to happen.

3 0

3 years ago