Answer:
m∠E = 38.7°
Step-by-step explanation:
If you make a drawing it will help. What you have is a right triangle where you are given the adjacent side to ∠E and the hypotenuse.
The cosine of a angle = adjacent side/hypotenuse.
Therefore cos E = 32/41
arccos (32/41) = 38.7°
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1572/6 = 262 which is an integer so x could be 2
X could also be 8 because 1578/6 is 263
Answer:
The first one, i.e., a)28cm^3
Hope it helped you!
Answer:
k = 13
smallest zero = -6
Step-by-step explanation:
f(x) is basically the function of x.
x could be any integer. f(x) is the solution of the function of x.
f(x) is defined as x² + 3x - 10
f(x) = x² + 3x - 10
Now, f(x+5) = x² + kx + 30
This statement here says that if the value of x is x+5, then the answer would be x² + kx + 30.
f(x) = x² + 3x - 10
f(x+5) = (x+5)² + 3(x+5) - 10
f(x+5) = x² + 10x + 25 + 3x + 15 - 10
f(x+5) = x² + 13x + 40 - 10
f(x+5) = x² + 13x + 30
x² + 13x + 30 = x² + kx + 30
hence, k = 13
Smallest zero = The smallest x value.
f(x+5) = x² + 13x + 30
Let's take f(x+5) = 0
x² + 13x + 30 = 0
which two numbers products give us 30 and add up to 13?
== 6 and 5
(x+6)(x+5) = 0
x+6 = 0
x = -6
x+5 = 0
x = -5
The two solutions are -6 and -5
The smallest out of these two is -6.