Answer:
D : 510 units
Step-by-step explanation:
NOTE:
Something to consider when solving problems like this is to break the large shape down into smaller, more managable shapes. So for this problem, you can break down this irregular shape into two rectangles. This will make solving problems similar to this easier in the future :)
WORK:
I broke down this shape into two rectangles with the following dimensions:
- 12 meters by 5 meters
- 3 meters by 14 meters
You also know that the depth has to be 5 feet (the problem itself did not account for differences in feet and meters, as when I converted the 5 feet to meters and solved that way, none of the answers were correct)
Using this information, you can now solve for the volume of each of the rectangles
12*5*5 = 300 units
3*14*5 = 210 units
Then, you simply add the two volumes together to find the total volume needed to fill the pool which equals
510 units
4c + 5h = 650 and
5c + 6h = 800 where c are chefs, h are helpers
Start by finding an expression for c
4c + 5h = 650
4c = 650 -5h
c = (650- 5h)/4
Then substitute that into the second equation and solve for a number value for h
5 (650-5h)/4 + 6h = 800
(3250-25h)/4 + 6h = 800
Multiply both sides by 4
3250-25h + 24h = 3200
-h = -50
h = 50
Take that 50 and substitute it into the expression we have for c to get a number value for c
C= 650-5(50)/4
C = 650-250/4
C = 400/4
C= 100
Check your first equations, substituting $50 for the helpers and $100 for the chefs.
4 (100) + 5(50) =
400 + 250 = 650
5(100) + 6(50) =
500 + 300 = 800
Step-by-step explanation:
Sin<D = Opposite / Hypotenuse
Opposite - EC
Hyp - DE
Sin<D = EC/DE = x/9
we need x to find <D.
so -->Use pythagorean theorem.
DE^2 = EC^2 + DC^2
DE = 9 DC = 7 EC = ?
EC^2 = DE^2 - DC^2 rearranged.
= 9^2 - 7^2
= 81 - 49
EC^2 = 32 Put both sides under square root.
√(EC^2) = √32
EC = 4√2 ~ 5.65.
We now have X which was representing the unknown side EC.
Sin<D = EC/DE = 5.65/9 = 0.627
To find <D Take the sine inverse of of 0.627.
<D = Arcsin(0.627) = 38.82°.
We now know <D. It's <E's turn.
A right angle triangle has a summation of interior angles of 180°.
thus, <em><D + <C + <E = 180°</em>
38.82° + 90° + <E = 180°
128.82° + <E = 180°
subtract both sides by 128.82°
0 + <E = 180° - 128.82°
<em><E = 51.</em><em>2</em><em>°</em>
Answer:
E. Step 3
Step-by-step explanation:
Step 2:
2x + 18 = 4x + <u>28 + 2</u>
Step 3:
2x + 18 = 4x + <u>26</u>
She subtracted instead of adding (see bold and underline)
Answer:
yes
Step-by-step explanation:
4 divided by 3 is 1.33333 repeating
