Step-by-step explanation:





In the given triangle, y = 32°.
Step-by-step explanation:
Step 1; In the given triangle, the opposite side has a length of 9cm while the hypotenuse of the triangle measures 17cm. As we have the lengths of the opposite side and the hypotenuse side, we can calculate the sine of the value y.
sin y =
.
Step 2; Length of the opposite side = 9 cm.
Length of the hypotenuse side = 17 cm.
sin y =
=
= 0.5294.
We can multiply inverse sine on both sides to solve y.
y =
(0.5294) = 31.9657°.
Rounding this off to the nearest tenth we get, y = 32.0°.
y = mx +b
y = -2x +0
the y intercept is 0
so one point is (0,0)
the slope is -2
we go down 2 to the right 1 (1,-2)
we now have 2 points
2 points make a line
Answer:
x² + 16x + 64
Step-by-step explanation:
To find f(g(x)) , substitute x = g(x) into f(x), that is
f(x + 7)
= (x + 7)² + 2(x + 7) + 1 ← expand (x + 7)² using FOIL
= x² + 14x + 49 + 2x + 14 + 1 ← collect like terms
= x² + 16x + 64
Answer:
Volume of the piece in the picture = 350 cubic inches
Volume of the remaining piece = 300 cubic inches
Step-by-step explanation:
Given question is incomplete without the picture; here is the picture as an attachment.
Volume of the rectangular prism = Length × width × height
V = 5 × 13 × 10
= 650 cubic inches
Now volume of the piece given in the picture = Volume of prism at the base + Volume of the prism with triangular base
= 10×5×1 + 
= 50 + 
= 50 + 300
= 350 cubic inches
Volume of the other piece = 650 - 350
= 300 cubic inches