All categories

3 years ago

How to do? Question #6

Mathematics

1 answer:

aksik [14]3 years ago

7 0

STEP 1

Since AB = CD , M is the midpoint of AB , and L is the midpoint of CD

then OM = OL

2x - 3 = x + 5 → x = 8

OM = 2x - 3 → OM = 2(8) - 3 → OM = 16 - 3 → OM = 13

STEP 2

Since AB = 60 and M is the midpoint of AB

then MB = 30

STEP 3

Draw a line from O to B to create triangle OMB. Notice that OM is perpendicular so M is a 90° angle, so the Pythagorean Theorem can be used.

OM² + MB² = OB²

13² + 30² = OB² substituted from steps 1 and 2

169 + 900 = OB²

1069 = OB²

32.7 = OB

Realize that OB is the radius.

Answer: 32.7

You might be interested in

9 is the difference of a number n and 7

Varvara68 [4.7K]

N - 7 = 9 if you want it written in equation form

3 0

3 years ago

Read 2 more answers

Simplify: Write your answer in scientific notation. (3.3 x 10^7) + (7.7 x 10^8)

maks197457 [2]

The answer is 8.03x10^8

6 0

3 years ago

Help me please in urgent

Stells [14]

Answer:

Step-by-step explanation:

20 times 10% is 2

7 0

2 years ago

55.27 is the same as 55 ____' 12".

choli [55]

27100(60)=815=1615 The 16 is how many minutes you have. If you were not given the seconds, we would have to say that we have a remainder of (1/5) of a minute. Since 1 minute is (1/60), one-fifth of that is (1/300). Now we would need to see how many seconds that gives us. 1 second is (1/3600) of a degree, so we would need to divide (1/300) by (1/3600). Doing this gives us: 1300÷13600=1300(3600)=12

5 0

3 years ago

Working together to palms can drain a certain pool in three hours if it takes the older pump nine hours to drain the pool by its

andreyandreev [35.5K]

Answer:

It would take the newer pump 4.5 hours to drain the pool

Step-by-step explanation:

Let's investigate first what is the fraction of the job done in the unit of time (hour in this case) by each pump if the work individually:

older pump: if it takes it 9 hours to complete the job, it does $\frac{1}{9}$ of the job in one hour.

newer pump: we don't know how long it takes (this is our unknown) so we call it "x hours". Therefore, in the unit of time (in one hour) it would have completed $\frac{1}{x}$ of the total job.

both pumps together: since it takes both 3 hours to complete the job, in one hour they do $\frac{1}{3}$ of the job.

Now, we can write the following equation about fractions of the job done:

The fraction of the job done by the older pump plus the fraction of the job done by the newer pump in one hour should total the fraction of the job done when they work together. That is in mathematical terms:

$\frac{1}{9} +\frac{1}{x} =\frac{1}{3}$

and solving for x:

$\frac{1}{9} +\frac{1}{x} =\frac{1}{3} \\x+9=3x\\2x=9\\x=\frac{9}{2} \,\,hours\\x = 4.5\,\,hours$

4 0

3 years ago