Answer:
18 stars
Step-by-step explanation:
We can use a ratio to solve
9 stars x
--------- = -----------
2 hearts 4 hearts
Using cross products
9*4 = 2x
36 = 2x
Divide by 2
36/2 =2x/2
18 =x
18 stars
Answer:
Step-by-step explanation:
V=4/3πr^3
288πcm^3=4/3×π×r^3
288π×3cm^3=4πr^3
864π=4πr^3
r^3=216
r=6cm
Answer:
Slope intercept form
Step-by-step explanation:
y = Mx + B
M = slope - 7/11
B = y intercept - 5
Answer:
z+42+42=180
Step-by-step explanation:
Since it is an isosceles triangle, the two base angles are the same and remember all the angles add to 180. So use this equation:
z+42+42=180
If you need to find z, it is 96.
Check: 96+42+42=180
Answer:
a) P = (-3, 4, 3)
b) P = (7, 4, 1)
Step-by-step explanation:
a) You want Q-P = (5, 4, -1) where Q = (2, 0, 2). Solving for P, we get ...
P = Q - (5, 4, -1) = (2-5, 4-0, 2-(-1))
P = (-3, 4, 3)
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b) The vector in the opposite direction of the one given is the given one multiplied by -1.
P = Q - (-1)(5, 4, -1) = (2+5, 0+4, 2-1)
P = (7, 4, 1)