Answer:
<h3>B. The must gain 20 yards to keep possession</h3>
Step-by-step explanation:
Let the number of yards gained be positive
Let the number of yards lost be negative
Since the total that must be gained in the next four games is 10, hence the total is +10
If The Tigers lose 24 yards, gain 4 yards, and lose 10 yards in the first three rounds with x being the number of yards in the fourth round, this is expressed as;
-24 + 4 - 10 + x = 10
-20 - 10 + x = 10
-30 + x = -10
x = -10 + 30
x = 20
Hence they need 20 yards in the last round to keep possession
Answer:
Step-by-step explanation:
Use the half angle identity for cosine:
cos(x/2)=+ or - sqrt(1+cos(x))/sqrt(2)
I'm going to figure out the sign part first for cos(x/2)...
so x is in third quadrant which puts x between 180 and 270
if we half x, x/2 this puts us between 90 and 135 (that's the second quadrant)
cosine is negative in the second quadrant
so we know that
cos(x/2)=-sqrt(1+cos(x))/sqrt(2)
Now we need cos(x)... since we are in the third quadrant cos(x) is negative...
If you draw a reference triangle sin(x)=3/5 you should see that cos(x)=4/5 ... but again cos(x)=-4/5 since we are in the third quadrant.
So let's plug it in:
cos(x/2)=-sqrt(1+4/5)/sqrt(2)
No one likes compound fractions (mini-fractions inside bigger fractions)
Multiply top and bottom inside the square roots by 5.
cos(x/2)=-sqrt(5+4)/sqrt(10)
cos(x/2)=-sqrt(9)/sqrt(10)
cos(x/2)=-3/sqrt(10)
Rationalize the denominator
cos(x/2)=-3sqrt(10)/10
00 o = 2 1/2
— 00 o
2 — = 1 — = .25
2 2
00=2
o=1/2
2/2=1
.5/2=.25
Final answer = 1.25 or 1 1/4
The number line would have an open circle that would be on 5 and the line would go right. the number line should count up.
Answer:
2.617
Step-by-step explanation:
