Answer:
Step-by-step explanation:
Hello,
as
Answer:
26.6 but that is not one of yor answers...
I think you have a typo in "A"
I think that your have a typo in the answers
x/sin(40) = 32/sin(90)
x = 26.6
Step-by-step explanation:
Answer:
51.1 ≈ r
Step-by-step explanation:
"A bicycle wheel travels 321 in for each revolution"- means that 321 is the circumference of the wheel that is a circle.
C = 2· π· r
What is the radius of the wheel ?
321 = 2· π· r, divide both sides of the equation by 2 π
(321/2·π) = r , use calculator, solve and round the answer
51.1 ≈ r
Answer:
3/14
Step-by-step explanation:
5/7 minus 1/2 is 5/7 - 1/2
5/7 and 1/2 are both called proper fractions. 5 and 1 in each fraction are called the numerator while 7 and 2 are called denominators
5/7 - 1/2
Step one
Find the lowest common multiple (LCM) of the denominators of each fractions
Multiples of 7
7 x 1 = 7
7 x 2 = 14
7 x 3 = 21
Multiples of 2
2 x 1 = 2
2 x 2 = 4
2 x 3 = 6
2 x 4 = 8
2 x 5 = 10
2 x 6 = 12
2 x 7 = 14
The lowest common multiple of 2 and 7 is 14
Step 2
The LCM of 2 and 7 becomes the common denominator for both fractions.
14/7 = 2
14/2 = 7
5/7 - 1/2 = [2(5) - 7(1)]/14 = (10 - 7)/14
= 3/14
Step-by-step explanation:
x = number hours dog walking
y = number hours tutoring
x + y <= 11
6x + 10y >= 80
the solution is the common area below the first line and above the second line.
the first line is above the second line (due to the y-intercept of 11 vs. 8) until the crossing point.
for the crossing point we use the regular equations :
from the first we get
x = 11 - y
using this in the second
6×(11 - y) + 10y = 80
66 - 6y + 10y = 80
4y = 14
y = 14/4 = 7/2 = 3.5
x = 11 - y = 11 - 3.5 = 7.5
so, she has to do at least 3.5 hours tutoring (and then 7.5 hours dog walking) for the minimum of $80 earning, all the way up to the maximum of 11 hours tutoring (and 0 dog walking) for $110 earning.
