Answer:
5
Step-by-step explanation: 5x5 =25$
Answer:
k = 48
For x = 6, y = 8.
Step-by-step explanation:
The general equation for inverse variation is
y = k/x
We are told that y = 24 when x = 2, so we plug in those two values in the general equation to find the value of k.
24 = k/2
k = 24 * 2 = 48
Now that we know k = 48, the equation for our case is
y = 48/x
Now we plug in x = 6 and find y.
y = 48/x
y = 48/6
y = 8
Answer:
y- intercept = 1
Step-by-step explanation:
The y- intercept is the point on the y- axis where the graph crosses.
This occurs when the x- coordinate is 0
From the table the point (0, 1 ) is where the graph crosses the y- axis
Then y- intercept = 1
Answer:
The remaining 15 athletes did not participate in any type of flexibility program
Answer:
tan(2u)=[4sqrt(21)]/[17]
Step-by-step explanation:
Let u=arcsin(0.4)
tan(2u)=sin(2u)/cos(2u)
tan(2u)=[2sin(u)cos(u)]/[cos^2(u)-sin^2(u)]
If u=arcsin(0.4), then sin(u)=0.4
By the Pythagorean Identity, cos^2(u)+sin^2(u)=1, we have cos^2(u)=1-sin^2(u)=1-(0.4)^2=1-0.16=0.84.
This also implies cos(u)=sqrt(0.84) since cosine is positive.
Plug in values:
tan(2u)=[2(0.4)(sqrt(0.84)]/[0.84-0.16]
tan(2u)=[2(0.4)(sqrt(0.84)]/[0.68]
tan(2u)=[(0.4)(sqrt(0.84)]/[0.34]
tan(2u)=[(40)(sqrt(0.84)]/[34]
tan(2u)=[(20)(sqrt(0.84)]/[17]
Note:
0.84=0.04(21)
So the principal square root of 0.04 is 0.2
Sqrt(0.84)=0.2sqrt(21).
tan(2u)=[(20)(0.2)(sqrt(21)]/[17]
tan(2u)=[(20)(2)sqrt(21)]/[170]
tan(2u)=[(2)(2)sqrt(21)]/[17]
tan(2u)=[4sqrt(21)]/[17]