Answer:
8/17
Step-by-step explanation:
The correct and complete question is:
<em>Use △XYZ, in which ∠X is a right angle and tanY=8/15. What is the ratio for sinY?</em>
From definition:
tan(Y) = opposite/adjacent
From the graph and the question:
tan(Y) = XZ/XY = 8/15
Then:
XZ = 8 and XY = 15. Using pytaghorean theorem:
XZ² + XY² = YZ²
8² + 15² = YZ²
√289 = YZ
17 = YZ
From definition:
sin(Y) = opposite/hypotenuse
From the graph:
sin(Y) = XZ/YZ
sin(Y)= 8/17
Statement 1: WXYZ is a kite
Reason 1: Given
Statement 2: WX = XY and WZ = YZ
Reason 2: Definition of a kite
Statement 3: XZ = XZ
Reason 3: Reflexive property
Statement 4: Triangle WXZ = Triangle YXZ
Reason 4: SSS Congruence
Statement 5: Angle W = Angle Y
Reason 5: CPCTC
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Extra notes:
* A kite is a quadrilateral that has two pairs of adjacent congruent sides. In this case, WX and XY is one pair of congruent sides that are adjacent (ie next to each other). So that's why WX = XY. Similarly, WZ = YZ is the second pair of adjacent congruent sides.
* Draw in a segment from point X to point Z to help form two triangles. The two triangles are congruent as proven in statement 4. One triangle is a reflection over the line XZ to get the other triangle.
* Due to this reflection, angle W reflects over line XZ to get angle Y. Proving that angle W = angle Y
* SSS means "side side side", basically saying "you use three pairs of congruent sides to prove two triangles congruent".
* The acronym CPCTC stands for "corresponding parts of congruent triangles are congruent"
Soo first apply the exponent rule (2^5)^1/3*1/4
1/3*1/4= 1/12
so (2^5)^1/12
then you apply the exponent rule again 2^5*1/2
so 5*1/12= 5/12
So the answer would be 2^5/12
Answer:
A = 46
B = 134
C = 78
Step-by-step explanation:
Answer:
the graph on the right-top
Step-by-step explanation:
Transferring an "x" to the right side in 
, we get 
The system of inequalities is
We have y=2x+2 - ascending function with a=2, b=2
b=2 shows that ascending function intersects Y-axis is in y=2 - that situation is only on the right-top and left-down. So, we refuse left-top and right-down.
y=-x-3 - descending function with a=-1, b=-3
y<2x+2 is an area below the ascending function and we see that on the left-
is an area above the descending function
On the left-down we have an area above both functions, so we refuse this picture
Right-top is correct
