Step-by-step Answer:
AN is height, so A is perpendicular to BC. (See image attached).
BN = 18
AN = 24
AC = 40
All as labeled.
ABN is a right triangle, with AB = sqrt(18^2+24^2)=sqrt(324+576)=30
ACN is a right triangle, with CN = sqrt(40^2-24^2)=sqrt(1600-576) = 32
=>
BC = BN + NC = 18 + 32 = 50
Answer:
B 7
Step-by-step explanation:
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The answer is (b² + 5b + 4).
The volume of a rectangular prism (V) is:
V = l · w · h (l - length, w - width, h - height)
The base of the rectangular prism is the product of length and width, so the area of the base is:
A = l · w
Since V = l · w · h and A = l · w, then:
V = A · h
It is given:
V = b³ + 8b² + 19b + 12
h = b + 3
⇒ b³ + 8b² + 19b + 12 = A · (b + 3)
⇒ A = (b³ + 8b² + 19b + 12) ÷ (b + 3)
Now, we have to present the volume as multiplication of factors. One of the factors is b+3. So:
b³ + 8b² + 19b + 12 = (b · b² + 3b²) + (5b² + 15b) + (4b + 3·4) =
= b²(b + 3) + 5b(b + 3) + 4(b + 3) =
= (b + 3)(b² + 5b + 4)
A = (b³ + 8b² + 19b + 12) ÷ (b + 3) = (b + 3)(b² + 5b + 4) ÷ (b + 3)
(b + 3) can be cancelled out:
A = (b² + 5b + 4)
Answer:
3xpi/2 is 270 degree counter-clockwise from Ox
That time P(x,y) is (0,-1)
=> x= 0 and y = -1 as you can see in picture.
=> Cos 3pi/2 = x = 0
=> Sin 3pi/2 = y = -1
Step-by-step explanation:
Not so slow.
