Answer:
y = 1/6
Step-by-step explanation:
direct variation
y =kx
substitute in what we know to find k
1/2 = k*3
solve for k
divide by 3
1/2 /3 = k
1/6 = k
substitute k into the direct variation equation
y = 1/6 x
let x = 1
y = 1/6 *1
y = 1/6
Answer:
Step-by-step explanation:
Ok first multiply the first two monomials:
Then multiply THAT with the OTHER monomial:
This should be the answer. Let me know if it's wrong.
Answer:
37.97
Step-by-step explanation:
y=-0.00001(37000)+0.97
=-37+0.97
=37.97
Part (a)
The radius is r = 42 because OA = 42.
The circumference, aka distance around the circle, is
C = 2*pi*r
C = 2*(22/7)*42
C = 264
We're told that arc AB is 110 mm which is 110/264 = 5/12 of the full distance around the circle.
So we'll apply 5/12 to the full rotation 360 to get (5/12)*360 = 150
<h3>
Answer: 150 degrees</h3>
==============================================================
Part (b)
Compute the area of the full circle
A = pi*r^2
A = (22/7)*(42)^2
A = 5544
Then take 5/12 of this because we only want 5/12 of the full circle area (to get the area of the shaded pizza slice)
(5/12)*(5544) = 2310
<h3>Answer: 2310 square mm</h3>
==============================================================
Side note: Both answers are approximate because pi = 22/7 is approximate.
Answer:
The probability is 0.27
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that:
Odds of a win are 27 to 73.
This means that for each 27 games that you are expcted to win, you are also expected to lose 73.
So
Desired outcomes:
27 wins
Total outcomes:
27 + 73 = 100 games
Probability
Answer:
The probability is 0.27
