The 30-60-90 triangle's sides share a ratio of 1:√3:2 where the shortest side is the one facing opposite 30°.
This means that the longest side of aa 30-60-90 triangle is twice that of the shortest side. Now, given that the shortest side has a length of 15, then its longest side would be 2(15) = 30.
Thus, the hypotenuse is 30 units.
Answer:
Matrix transformation =
Vertices of the new image: P'= (5,-2), Q'= (6,-3), R'= (2,-3)
Step-by-step explanation:
Transformation by reflection will produce a new congruent object in different coordinate. Reflection to y-axis made by multiplying the x coordinate with -1 and keep the y coordinate unchanged. The matrix transformation for reflection across y-axis should be: .
To find the coordinate of the vertices after transformation, you have to multiply the vertices with the matrix. The calculation of the each vertice will be:
P'= = (5,-2)
Q'= = (6,-3)
R'= = (2,-3)
Answer:3/4
Step-by-step explanation:60 minutes divided by 4 is 15. 3 15 minute increments is 45. 45 minutes is 3 /4 of an hour.
Answer:
0+_+0
<h3>Step-by-step explanation:</h3>
Answer:
Apple = $0.6
Banana = $0.75
Step-by-step explanation:
Let us represent Apple by A and Banana by B
For Joe,
5A + 4B = 6 (1)
For Dawn
3A + 6B = 6.3 (2)
To eliminate A, Multiply equation (1) by 3 and equation (2) by 5
15A + 12B = 18 (3)
15A + 30B = 31.5 (4)
subtracting equation (4) from (3)
15A - 15A +12B - 30B = 18 - 31.5
-18B = -13.5
divide through by -18
-18B/-18 = -13.5/-18
B = 0.75
substitute 0.75 in equation (1)
5A + 4B = 6
5A + 4(0.75) = 6
5A + 3 = 6
subtract 3 from both sides
5A + 3 - 3 = 6 - 3
5A = 3
divide through by 5
5A/5 = 3/5
A = 0.6