This is a 30-60-90 triangle. The short leg is given to us as 5
The long leg is equal to sqrt(3) times the short leg
long leg = sqrt(3)*(short leg)
long leg = sqrt(3)*5
long leg = 5*sqrt(3)
The base is 5. The height is 5*sqrt(3)
b = 5
h = 5*sqrt(3)
Use this to find the area
A = b*h/2
A = 5*5*sqrt(3)/2
A = 25*sqrt(3)/2
which is the exact area in terms of a radical
You can write it out as
Answer:
x = 38
∠P = 26º
Step-by-step explanation:
The sum of the angle in a triangle is 180
x + (x + 78) + (x - 12) = 180
Combine like terms
3x + 66 = 180
Subtract 66 from both sides
3x = 114
Divide both sides by 3
x = 38
-----------------------
∠P = x - 12
∠P = 38 - 12
∠P = 26º
The distributive property states that:
a(b+c)=ab+bc.
or more generally: a(b+c+d)=ab+av+ad.
This is a very useful tool to perform multiplication.
For example, if we want to multiply 7 by 234, we can proceed as follows:
7*234=7(200+30+4)=7*200+7*30+7*4=1400+210+28=1610+28=1638
back to our problem,
4 * 24 = 4(20+4)=4*20+4*4=80+16=96 ($)
So, instead of multiplying 4 by 24, we multiplied 4 by 20 and 4, which is easier, and then added these together.
Answer:
4 * 24 = 4(20+4) [=4*20+4*4=80+16=96 ($)]
4/5 because 12/3=4 and 15/3=5
<h3>
Answer: C) 3</h3>
=========================================================
Explanation:
f(x) is the outer function, so the final output -8 corresponds to f(x)
We see that f(-4) = -8 in the first column of the table. I'm starting with the output and working my way backward to get the input. So we started with -8 and worked back to -4.
Then we move to the g(x) function to follow the same pattern: start with the output and move to the input. We start at -4 in the g(x) bubble and move to 3 in the x bubble.
In short, g(3) = -4
So,
f(g(x)) = f(g(3)) = f(-4) = -8
We see that x = 3 leads to f(g(x)) = -8
