Answer:
Puppy Liz runs 34.61 ft.
Step-by-step explanation:
From the figure we can extract two triangles: one with angle 34° and adjacent 40ft, the other with angle 34°+23° and adjacent 40ft.
Let us call the distance from the pole to the fire hydrant , and the distance from the pole to the bench , then the distance from the fire hydrant to the bench is
which is the distance the Puppy Liz runs.
Now, from trigonometry we have
and
Therefore, the distance Puppy Liz runs is
Answer:
Step-by-step explanation:
Shape of the can is cylinder
r = 4 in
h = 15 in
Volume =πr²h
= 3.14* 4 * 4 * 15
=753.6 cubic inches
greg score = x
kara score = 3/4x-1
x + 3/4x-1 = 153
1 3/4x -1 = 153
1 3/4x = 154
x = 154 / 1 3/4 = 88
gregs score was 88
kara s score was 153 -88 = 65
-x^2y^2 + x^4 + 4y^2 - 4x^2
Separate into two parts to make simplification easier. Find the GCF of the values in each part.
-x^2 (y^2 - x^2) + 4 (y^2 - x^2)
Combine the factors and because the two in parenthesis are equal, eliminate one.
(-x^2 + 4) (y^2 - x^2)
Hope this helps!