Answer:21 cm
Step-by-step explanation: The circle's circumference is 84 cm. 84 / 4 = 21. Therefore the length of the arc XY is 21 cm.
Answer:
3 hours
Step-by-step explanation:
$12 = 2hours
Find how much Clare was paid for one hour
Total money earned ÷ number of hours = wage per hour
12 ÷ 2 = $6 per hour
set up equation
6x = 18
This equation says 6 dollars an hour × number of hours = $18
To solve for this equation, divide both sides by 6 (this isolates the variable)
6x ÷ 6 = 18 ÷ 6
1x = 3
x = 3
Answer:
A. 72cm
Step-by-step explanation:
Figure a is a convex pentagon, a convex pentagon is a pentagon that does not have an internal angle greater than

An easier thing to remember is that it does not have an angle pointing inwards like b, none of its angles/edges point toward the shape/inside
I found h max = 64 feet
Explanation: Ok...probably you can do this differently but I would try to find the vertex of the parabola describing the trajectory: 1) derive it: h ` ( t ) = 64 − 32 t 2) set derivative equal to zero: 64 − 32 t = 0 t = 64 32 = 2 sec 3) use this value of t into your trajectory: h ( 2 ) = h max 64 ⋅ 2 − 16 ⋅ 4 = 64 feet .
Answer:
C(w) = 6w + 9
Step-by-step explanation:
Anytime 0 is given somewhere, it should be given close scrutiny. In an equation whose general form is
y = mx + b
0 will determine the y intercept immediately.
So when x = 0, y will equal
y = 0*m + 9
So b = 9
y = mx + 9 Now we need to find m
I should start using your variables.
C(w) = m*w + 9
when w = 3 then C(3) = 27
27= 3m +9
27-9 =3m + 9 -9
18 = 3m
18/3 = 3m/3
x = 6
So the complete equation is
C(w) = 6w + 9