We subtract 28 - 16 and get the number of girls
so lets do that
28 - 16 = 12
now we know the unsimplified ratio os 12 to 16
simplifed girls 12 ÷ 4 = 3
simplified boys 16 ÷ 4 = 4
since it says (girls to boys) we put girls first then boys
so it would become 3 : 4
Or the answer is B.) 3 : 4
Answer and Step-by-step explanation:
If the radius is 5, then we can plug 5 into the area of a circle equation.
A = 
A = 
A = 25
<u>The area of a circle with radius 5 is 25</u><u>.</u>
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Step-by-step explanation:
The value of sin(2x) is \sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−
8
15
How to determine the value of sin(2x)
The cosine ratio is given as:
\cos(x) = -\frac 14cos(x)=−
4
1
Calculate sine(x) using the following identity equation
\sin^2(x) + \cos^2(x) = 1sin
2
(x)+cos
2
(x)=1
So we have:
\sin^2(x) + (1/4)^2 = 1sin
2
(x)+(1/4)
2
=1
\sin^2(x) + 1/16= 1sin
2
(x)+1/16=1
Subtract 1/16 from both sides
\sin^2(x) = 15/16sin
2
(x)=15/16
Take the square root of both sides
\sin(x) = \pm \sqrt{15/16
Given that
tan(x) < 0
It means that:
sin(x) < 0
So, we have:
\sin(x) = -\sqrt{15/16
Simplify
\sin(x) = \sqrt{15}/4sin(x)=
15
/4
sin(2x) is then calculated as:
\sin(2x) = 2\sin(x)\cos(x)sin(2x)=2sin(x)cos(x)
So, we have:
\sin(2x) = -2 * \frac{\sqrt{15}}{4} * \frac 14sin(2x)=−2∗
4
15
∗
4
1
This gives
\sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−
8
15
Answer:
approx. 3 hours
Step-by-step explanation:
14 newspapers in 20 minutes means he can deliver 42 newspapers an hour.
60/42 = 1.4285 newspapers per minute
131 x 1.4285 = 187.1335 minutes = 3.1188 hours
Just find the slope between the points
basically find (f(10)-f(7))/(10-7)
f(7)=7^2-3(7)-4=49-21-4=24
f(10)=10^2-3(10)-4=100-30-4=66
slope=(66-24)/(10-7)=42/3=14
average rate of change is 14
