Answer1: for every 5 kids there are 9 parents
2 part a: the for every 4 cookies for every 9 sodas that are sold
2 part b:the ratio of cookies to soda is 9:4
3.the ratio of pencils to erasers is 15:7
3: for every 15 pencils there are 7 erasers.
4.The first blank is 2eyes there Are4 legs
Step-by-step explanation:
10x+y = 10y+x +36
x+y=14
9x-9y=36
x-y=4
x= 14-y
14-2y==4
10=2y
y=5
x=9
Answer:
y = x + 6.
Step-by-step explanation:
y = mx + c where m = the slope of the line and c is the y-intercept.
So here m = 4/4 = 1 and c = 6, so it's:
y = 1x + 6.
Answer:
11
Step-by-step explanation:
11
Answer: 70.5°
Solution:
Call B, the measure of the angle CBA
cos(B) = adjacent-leg / hypotenuse = 3 / 9 = 1 / 3
=> B = arc cos (1/3) ≈ 70.5°
I will calculate other measures for you, trying to cover the most common ratios: sine, cosine, tangent
1) (segment CA)^2 + (segment BC)^2 = (hypotenuse)^2
=> (segment CA )^2 = (hypotenuse)^2 - (segment BC)^2 = 9^2 - 3^2 = 81 - 9 = 72
=> segment CA = √72 = 6√2
2) sin(B) = opposite-leg / hypotenuse = 6√2 / 9 =2√2 / 3
3) sin(A) = cos(B) = 1/3
4) cos(A) = sin(B) = 2√2 / 3
5) tan(B) = opposite-leg / adjacent-leg = (2√2 / 3 ) / 3 = 2√2 / 9
6) tang(A) = 3 / (2√2 /3) = 9 /( 2√2) = 9√2 / 4
