Answer:
use Pythagoras theorem formula 
= 
+ 
Step-by-step explanation:
= 
+ 
= 576 + 324
= 900
C = 
C = 30
Does that make sense? :|
Answer:
2,000 is the value of the digit 2 in the thousands place
Answer:
1 7/8 quarts
Step-by-step explanation:
The amount Yuan has left can be found by multiplying the original amount by the fraction he has left.
__
<h3>used</h3>
After using 1/2 of the broth for soup, the fraction remaining is ...
1 -1/2 = 1/2
The amount Yuan used for gravy is 1/4 of this, or ...
(1/4)(1/2) = 1/8 . . . of the original amount of broth
The total fraction Yuan used was ...
fraction used = fraction for soup + fraction for broth = 1/2 +1/8 = 5/8
<h3>remaining</h3>
Then the fraction remaining is ...
fraction remaining = 1 - fraction used = 1 - 5/8 = 3/8.
The amount remaining is this fraction of the original amount:
(3/8)(5 quarts) = 15/8 quarts = 1 7/8 quarts . . . . remaining
Answer:
j=13, g=20.8, h=24
Step-by-step explanation:
The overall shape given and the shape within, are both right triangles. With right triangles, you are allowed to use the pythagorean theorem formula (
) in order to solve for some sides. In this case, that would be j and h. The five in the smaller triangle is represented by b and the 12 is the hypotenuse so it is represented by c. When you plug in those numbers in the pythagorean theorem formula, you will find the value of j to be 13. When looking at this, we see that 12 is the second greatest value in the right triangle values that we just found, so we know the the opposing angle for that one will be 60 degrees. The 5's opposing side is therefore 30 degrees. When subtracting 90 and 30, we get 60, so therefore you can use the 30 60 90 formula to find the sides of the bigger triangle. The 60 degrees represents g. This formula will be 
. The a is 12 since it is the smallest value. So therefore, g is 
, which is 20.8. Now that we have this side, we can just use the pythagorean theorem formula to find the remaining side. Therefore, h is going to be 24
Step 1:
Start by setting it up with the divisor 5 on the left side and the dividend 33 on the right side like this:
5 ⟌ 3 3
Step 2:
The divisor (5) goes into the first digit of the dividend (3), 0 time(s). Therefore, put 0 on top:
0
5 ⟌ 3 3
Step 3:
Multiply the divisor by the result in the previous step (5 x 0 = 0) and write that answer below the dividend.
0
5 ⟌ 3 3
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (3 - 0 = 3) and write the answer below.
0
5 ⟌ 3 3
- 0
3
Step 5:
Move down the 2nd digit of the dividend (3) like this:
0
5 ⟌ 3 3
- 0
3 3
Step 6:
The divisor (5) goes into the bottom number (33), 6 time(s). Therefore, put 6 on top:
0 6
5 ⟌ 3 3
- 0
3 3
Step 7:
Multiply the divisor by the result in the previous step (5 x 6 = 30) and write that answer at the bottom:
0 6
5 ⟌ 3 3
- 0
3 3
3 0
Step 8:
Subtract the result in the previous step from the number written above it. (33 - 30 = 3) and write the answer at the bottom.
0 6
5 ⟌ 3 3
- 0
3 3
- 3 0
3
Which equals 6
