<u>Answer:</u> The ratio that represents the cosine of ∠T is 
<u>Step-by-step explanation:</u>
We are given:
UV = 56 units
VT = 33 units
UT = 65 units
∠V = 90°
Cosine of an angle is equal to the ratio of base and the hypotenuse of the triangle. ΔTUV is drawn in the image below.
Base of the triangle is UV and the hypotenuse of the triangle is TU
Putting values in above equation, we get:
Hence, the ratio that represents the cosine of ∠T is
Answer:
-1, 6
Step-by-step explanation:
x + y = 5
xy = -6
Take first equation and rewrite it. y = -x + 5
Then substitute the new equation in the second one.
x(-x + 5) = -6
-x^2 + 5x + 6 = 0
Divide by -1
x^2 - 5x - 6
(x + 1)(x - 6) = 0
x = -1, 6
Answer:
42 units squared
Step-by-step explanation:
break it up into smaller shapes. if you split the big shape at y = 2 and at y=-2, you'll get two triangles and one rectangle.
so the area of the rectangle = l x w
= 4 x 7
= 28
the area of the triangle is ( l x w )/2
= (7 x 2)/2
= 7
the other triangle is the same too
so the area of that is also 7.
now add all areas,
7+7+28 = 42
