Answer:
(a) t = 7 sec approximately; (b) t = 6 sec
Step-by-step explanation:
(a) Set h(t)= -16(t-3)^2 + 288 = 0 and solve for t:
16(t-3)^2 = 288
After simplification, this becomes (t - 3)^2 = 18, or t - 3 = ±3√2.
Because t can be only zero or positive, t = 3 + 3√2 = 7 seconds
(b) Solve h(t)= -16(t-3)^2 + 288 = 150:
-16(t-3)^2 = - 162
or (t - 3)^2 = 10.125, or
t - 3 = ±3.18, or, finally, t = 6.18 sec (discard t = -0.18 sec)
Answer:
Step-by-step explanation:
Given
Required
Select 3 equivalent expressions
Express 9 as 3^2
--- This is one equivalent expression
Take 
as difference of two squares
-- This is another equivalent expression:
Solving further:
becomes
-- This is another equivalent expression:
Hence, the equivalent expressions are:
9514 1404 393
Answer:
103°
Step-by-step explanation:
The law of sines tells you ...
sin(C)/c = sin(A)/a
sin(C) = (c/a)sin(A)
C = arcsin(c/a·sin(A)) = arcsin(37/19·sin(30°)) ≈ 180° -76.8° ≈ 103°
Obtuse angle C is about 103°.
If Jeff starts with 1/2 of a pizza then eats 1/3 of it he has 2/3 of 1/2 left. Therefore if you multiply those together you get your answer.
(2/3)*(1/2)=2/6=1/3
Jeff has 1/3 of the pizza left
Hello,
Let's suppose y'=y-3
and x'=x-5
Parabola become y'²=8x' whose focus is (8/4,0)=(2,0)
y=y'+3==>y=0+3=3
x=x'+5==>x=2+5=7
Focus is (7,3)
Rem for parabola y²=kx focus is (k/4,0)
