Answer:
Because sine can only be positive in quadrant II according to the CAST rule.
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>
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Answer:
The answers are that x = 8 and y = 7%
Step-by-step explanation:
To find the value of x, we need to divide 1.36 by the percentage it is of the whole (17%).
1.36/17% = 8
And now to find y, we divide 1.05 by 15
1.05/15 = 7%
Answer:
52 because in 1 cup equivalent to 8 ounces.. if she drinks 6 cups that is 48 ounces plus the half cups 4 ounces so 52 ounces all in all
