The value of 6 in the tenths place is 10 times the value of 6 in the hundredths place.
0.06 x 10 = 0.6
Answer:
80 Cubic Units
Step-by-step explanation:
5 x 4 = 20
20 x 4 = 80
Hope it helps :)
Answer:
a=35 given
b=40
c=110
I couldn't complete see c. Please look at the picture to see what I assumed it to be.
Step-by-step explanation:
Hmmm... I guess a and b are not vertical.
We are given b=180-4a and a=35 so b=180-4(35)=180-140=40.
So b=40.
Isosceles triangles always have congruent base angles. So let's call both of the base angles in the bottom triangle x.
That means x+x+40=180.
We need to solve this for x.
Combine like terms:
2x+40=180
Subtract 40 on both sides:
2x=140
Divide both sides by 2:
x=140/2
Simplify:
x=70
So I'm assuming that c and it's adjacent angle are sitting on a straightedge together which means 70+c=180.
70+c=180
Subtract 70 on both sides:
c=180-70
Simplify:
c=110
Sec(x/2) = 1/cos(x/2)
sec(x/2)=cos(x/2) ----> cos^2(x/2)=1 ---> cos(x/2) = -1 and cos(x/2) = 1
Cos(x/2)=1 --- > x/2 = 0, only. x = 0;
cos(x/2)=-1 ----> x/2 = pi -> x = 2pi. But the statement says [0,2pi), so 2pi can not be chosen.
Only x = 0.
In fact, your equation is equivalent to sec(x)=cos(x), for x in [ 0, pi), so yes, only x = 0 .
The lowest possible score that Jake can have is 92.
To solve a problem like this, you need to find the average of the data set. To do that, you add up all the given numbers and divide the total by how many numbers were added up.
To find this answer, I just added in each letter one at a time (for C, I did 66+80+88+82+72+92, which equals 480, and then I divided it by 6 to get 80.) until I got an answer of 80.