Answer:
B.70
Step-by-step explanation:
For one or two angles are complementary angle(s), they have to equal 90°.
So, we need to find the larger angle, but what about the other?
Let x be the other angle and y be the angle we are looking for
x + y = 90
Lets look for x first, since one angle is ten less than four times the angle we are looking for or visa versa, we must:
y = 4x - 10
For an exchange, lets take out the y variable for another x variable:
So now we should have x + 4x - 10 = 90
Combine like terms and do cross equation :
x + 4x -10 = 90
5x - 10 = 90
Add 10 to both sides:
5x = 100
100/5 = 20
So <u><em>x=20</em></u>
<u><em></em></u>
Now for y which is what we are looking for,
y = 4x - 10
Since x is 20, plug it in
y = 80 - 10
y=70 is our larger angle
Answer:
y = -3/4x -2
Step-by-step explanation:
Slope intercept is y = mx+b where m is the slope and b is the y intercept
4y = -3x-8
Divide each side by 4
4y/4 = -3x/4 -8/4
y = -3/4x -2
Answer:
, 
Step-by-step explanation:
The velocity function of the projectile is obtained by deriving the position function:

Now, the velocities after 3 and 15 seconds are, respectively:




Answer:
D
Step-by-step explanation:
We calculate the z-score for each
Mathematically;
z-score = (x-mean)/SD
z1 = (1.9-2.1)/0.2 = -1
z2 = (2.3-2.1)/0.2 = 1
So the proportion we want to calculate is;
P(-1<x<1)
We use the standard score table for this ;
P(-1<x<1) = P(x<1) -P(x<-1) = 0.68269 which is approximately 68%