Answer:
12 feet
Step-by-step explanation:
Use the Pythagorean Theorem.
5² + x² = 13²
25 + x² = 169
169 - 25 = 144
√144 = 12
12 feet
These are vertical angles so they are equal.
3x + 50 = 6x - 10
50 + 10 = 6x - 3x
3x = 60
x = 20 answer
Answer:
There are total 12 outfit combinations.
Step-by-step explanation:
Number of hat are: 2
1 red hat and 1 black hat
Number of shirt are: 3
1 white shirt , 1 black shirt , 1 black-and-white striped shirt.
Number of pants are: 2
1 black and 1 blue
Now, the total number of combinations could be seen with the help of a tree diagram.
We observe that total 12 combinations are possible.
Step-by-step explanation:
The given numbers are : 32 , 48 , 140 , 120
First number is 32
Second number is 48
Third number is 140
Fourth number is 120
First number/second number :
Third number/Fouth number :
From equation (1) and (2) we can see that the ratio is not same. Hence, they are not in proportion.
Answer:
She swam a total distance of 2 1/4 miles in those three days.
Step-by-step explanation:
Okay, so- The first thing you need to do is make all denominators equal to make these fractions able to be added together. So, I made all denominators 12. (Tell me if you don't know how to make them all the same denominator, and I'll be happy to help!)
<u>2/3 = 8/12 </u>
<u>3/4 = 9/12 </u>
<u>5/6 = 10/12</u>
Then, I added the numerators together. Like this:
<u>8 + 9 + 10 = 27 </u>
So, this would be:
<u>27/12</u>
Lastly, I changed this improper fraction to a mixed number. I multiplied the denominator twice because it looked like it would be closest to 27 without going over.
<u>12 * 2 = 24 </u>
<em>The "2" will be the whole number in the mixed fraction.</em> Now, I'm going to subtract 24 from the numerator.
<u>27 - 24 = 3 </u>
<u>2 3/12</u>
After simplified, the fraction will be:
2 1/4
<h3>Hope this helps! Let me know if you need help with something else or if you have questions about this problem !</h3>
