Answer:
C) 3/5
Step-by-step explanation:
Have you heard of this way to memorize the trig ratios?
SOH-CAH-TOA (Say it out loud so you remember it.)
It represents these ratios:
Sine = opposite side / hypotenuse
Cosine = adjacent side / hypotenuse
Tangent = opposite side / adjacent side
In this problem, cos C = adj / hyp = BC / AC = 24 / 40.
That simplifies to 3/5
Remember you can do anything to an equation as long as you do it to both sides
expand by foiling or distributing
4x²-19x-5=-43x-41
add 43x to both sides and add 41 to both sides
4x²+24x+36=0
factor
facotr out of 4
4(x²+6x+9)=0
factor inside
what 2 numbers multiply to get 9 and add to get 6?
3 and 3
4(x+3)(x+3)=0
set to 0
x+3=0
x=-3
x=-3 is answer
Answer:
(-1,1), (1,3), (2,2)
Step-by-step explanation:
To dilate an object, we need to multiply the x and y values by the given scale factor.
In this case the scale factor is 1/3 --> 1/3(x, y)
Before-> After dilation
1/3(-3,3) = (-1,1)
1/3(3,9) = (1,3)
1/3(6,6) = (2,2)
Please leave a 'thanks' if this helps!
Answer:
Step-by-step explanation:The surface area of a sphere (the shape of a baseball) is given by the formula, SA = 4 (pi) r^2. Given the circumference of the circle, you can solve for the radius.
The formula for circumference is C = 2 x pi x r.
So input 9 for C and solve. 9 = 2 x pi x r.
You will get that r is equal to about 1.43 in.
Now put that r value into the surface area equation: SA = 4 (pi) 1.43^2
You will get a surface area equal to about 25.7 in^2.
Now multiply that number by the number of baseballs you need to cover, 100.
I'll let you do that step by yourself since it's simple algebra and you're smart enough to figure it out ;)
Answer:
x = 583,33...
Step-by-step explanation:
x+ 2x= 1750
3x= 1750
x = 1750/3
x = 583,33...
