Answer:
<em>There are 12 boys and 18 girls</em>
Step-by-step explanation:
<u>Equations</u>
There are 30 students in a class. Let's call:
x = number of boys
Since the sum of boys and girls is 30:
30 - x = number of girls
The ratio of boys to girls is 2:3, thus:
Crossing denominators:
3x = 2(30 - x)
Operating the parentheses:
3x = 60 - 2x
Adding 2x:
5x = 60
Dividing by 5:
x = 60/5 = 12
x = 12
There are 12 boys and 30-12=18 girls
Answer:
7. 49
8. 10.4
Step-by-step explanation:
7) our hypotenuse is 8, and the side opposite the base of ladder and ground angle is 6, therefore we can use Sin
sin = opposite/hypotenuse
sin(x) = 6/8 = 3/4
sin-1(3/4) = 49
8) using the theorem that alternate exterior angles are congruent
the angle opposite side x is 30
tan = opposite/adjacent
tan(30) = x/18
x = 18tan(30) = 6√(3) = 10.4
you can also use 30-60-90 special right triangles.
the side opposite 30 is x
side opposite 60 is x√(3)
and side opposite 90 is 2x
I do not know what kind of answer you may want but here is a few you might be asking for
(1). Every 12 games Alice wins 8 games and looses 4. ( 8/12 )
(2). Alice wins 2/3 games against a computer. ( 8/12 )
(3). Alice wins 66% of games she plays against a computer.
There you go.
Answer:
about 78.539 meters. smallest diameter = 50. plug that into the equation C = πd
Step-by-step explanation:
3x + 20 = 5x - 16
3x - 5x = -16 - 20
-2x = -36
x = -36/-2
x = 18
The measure of angle xyz can also be said to be the measure of angle y.
So, y = (3•18 + 20)
y = 54 + 20
y = 74°
The measure of angle xyz = 74°.
