Answer:
1) 3
2) 1
3) -5
Step-by-step explanation:
The coefficients are the numbers that come before each variable.
The 3 in the first term is in front of the x^2; so the coefficient is 3.
There is no visible number in front of the y in the second term, but there is a y, so we can assume there's at least 1; so the coefficient is 1.
The term in front of x for the third term is -5, so the coefficient is -5.
Answer:
0.65 square inch
Step-by-step explanation:
Each triangle has an area given by ...
A = 1/2bh = 1/2·(0.5 in)(0.4 in) = 0.10 in²
The square base has an area given by ...
A = s² = (0.5 in)² = 0.25 in²
The total area is that of the square base and 4 triangles:
S = 0.25 in² + 4×0.10 in² = 0.65 in²
Try making a grid like this. Apologies for the terrible drawing and handwriting. It represents all possible results of rolling two dice and summing their values. The blue column and yellow row represent the values of each die, and the green numbers reptesent their sums.
First, you can see that there are 36 possible values. Second, it's easy to see how many results are greater than 9, since they're all in one corner. And last, you can see just how many are even and how many are odd. Remember to reduce your fractions in the end.
Answer: h=3v/pir^2 +1
Step-by-step explanation:
sorry i can't use the pi symbol so i'll be referring to pi as pi
^2 is squared
1/3pir^2(h-1) =v
<u>simplify 1/3pir^2</u>
pi/3r^2(h-1)=v
<u>multiply both sides by 3 and simplify </u>
3*pi/3r^2(h-1)=3v <-- simplify = pir^2(h-1)=3v
<u>divide both sides by pir^2</u>
pir^2(h-1)/ pir^2 = 3v/ pir^2
<u>simplify </u>
h-1 = 3v/pir^2
<u>add 1 to both sides</u>
h-1 +1 = 3v/pir^2+1
answer/ simplify:
h=3v/pir^2 +1
1
The first one is correct.
2
A hexagon has the weird property of having the radius and the side being of exactly the same length
The formula is A = 3 * sqrt(3) * a^2 / 2
where a = the side or radius
A = 3 * sqrt(3) * 5^2 / 2
A = 3 * sqrt(3) * 25 / 2
A = 1.5 * sqrt(3) * 25
A = 64.95
A <<<< Answer (the first one is the answer.)
C
This one seems so much more entailed. Do you know what the cos law is? That's what I will use to find c.
c^2 = a^2 + b^2 - 2*ab* cos(C)
C = 33 degrees
a = 2.75 miles
b = 1.32 miles
c^2 = 2.75^2 + 1.32^2 - 2 * 2.75 * 1.32 * cos(33)
c^2 = 9.3049 - 6.0887
c^2 = 3.2162
c = sqrt(3.2162) = 1.7934
Now you have to use this result to get the area. You have to use Heron's formula.
A = sqrt(s * (s - a) * (s - b) * (s - c) )
s = 1/2 the perimeter
s = 1/2 (2.75 + 1.32 + 1.7934)
s = 1/2(5.8634)
s = 2.9317
I'll finish this in the comments. I have to leave for a bit.
