Answer:
a. AB = 3.4 ft
b. AE = 1.6 ft
Step-by-step explanation:
SOH CAH TOA reminds you of the relationship between trig functions and right triangle sides.
a. Cos = Adjacent/Hypotenuse
cos(28°) = BE/BA = 3 ft/BA
Multiplying by BA and dividing by cos(28°), you get ...
BA = (3 ft)/cos(28°) ≈ 3.4 ft
___
b. Tan = Opposite/Adjacent
tan(28°) = AE/BE = AE/(3 ft)
Multiplying by 3 ft, you get ...
AE = (3 ft)·tan(28°) ≈ 1.6 ft
Problem 13
10p+10q factors to 10(p+q). If we apply the distributive property, we can distribute the 10 to each term inside (p and q) to get
10(p+q) = (10 times p)+(10 times q) = 10*p + 10*q = 10p+10q
so we get the original expression again. Here 10 is the GCF of the two terms.
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Plug p = 1 and q = 2 into the factored form
10*(p+q) = 10*(1+2) = 10*(3) = 30
As a check, let's plug those p,q values into the original expression
10*p+10*q = 10*1+10*2 = 10+20 = 30
We get the same output of 30
Answer:
24x^2+112x+120
Step-by-step explanation:
distribute the 2
(6x+10)(4x+12)
foil it
24x^2+112x+120
Answer:
(f o g)(x)= 3x + 14
(g o f)(x) = 3x + 4
Step-by-step explanation:
(f o g)(x) = f(g(x)) = f(x + 5) = 3(x + 5) - 1 = 3x + 15 - 1 = 3x + 14
(g o f)(x) = g(f(x)) = g(3x - 1) = 3x - 1 + 5 = 3x + 4
Answer:
what is your question though. if its create an equation, its
y = 1/6x + 2
