Answer:
97.94 is 83% of 118
Step-by-step explanation:
Let the missing number be x
97.94=83% of x
I.e, 97.94=83/100 × x
97.94=83x/100
Cross multipy 97.94/1=83x/100
We have, 97.94 × 100 = 83x × 1
9794=83x
Divide both sides by 83 to make x the subject of the formula.
9794/83=83x/83
118=x
Answer:
cos(θ) = 3/5
Step-by-step explanation:
We can think of this situation as a triangle rectangle (you can see it in the image below).
Here, we have a triangle rectangle with an angle θ, such that the adjacent cathetus to θ is 3 units long, and the cathetus opposite to θ is 4 units long.
Here we want to find cos(θ).
You should remember:
cos(θ) = (adjacent cathetus)/(hypotenuse)
We already know that the adjacent cathetus is equal to 3.
And for the hypotenuse, we can use the Pythagorean's theorem, which says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, this is:
3^2 + 4^2 = H^2
We can solve this for H, to get:
H = √( 3^2 + 4^2) = √(9 + 16) = √25 = 5
The hypotenuse is 5 units long.
Then we have:
cos(θ) = (adjacent cathetus)/(hypotenuse)
cos(θ) = 3/5
Answer:
The slope is 1/3
Step-by-step explanation:
Take 2 points on the line, lets use (0,50) and (30,60)
x1 y1 x2 y2
Use slope formula:
y2 - y1 / x2 - x1
60 - 50 / 30 - 0
10 / 30
which can be simplified to:
1/3
Answer:
y=-3/7x+2
Step-by-step explanation:
first formula (Slope): y2-y1/x2-x1
-1-2/7-0= -3/7
second formula (point slope): y-y1=m(x-x1)
y-2=-3/7(x-0)
(distribute the -3/7)
y-2=-3/7x-0
(add 2 to both sides)
y=-3/7x+2
Answer:
y = -0.07x2 + 3.07x
Step-by-step explanation:
For each plant we add, there is a decrease of 70 grams for all plants from the inicial value of 3 kg of beans.
So, for 2 plants, we have (3 - 0.07) * 2
For 3 plants, we have (3 - 2*0.07) * 3
For x plants, we have (3 - (x-1)*0.07) * x
So we can model the final result of the amount of beans 'y' with the equation:
y = (3 - (x-1)*0.07) * x
y = (3 - 0.07x + 0.07) * x
y = (3.07 - 0.07x) * x
y = -0.07x2 + 3.07x
(In this equation we have a = -0.07, b = 3.07 and c = 0)
