Okay. So for this equation, she would make $60, plus $5.25 in tips each hour. So for this, she would get $60 + 5.25h. Plug in 4 hours, and she would make $21 off of tips, plus the $60, which brings her up to $81 total. The answer is C.
Given: sin theta = 2/5. This tells us that the lengths of the opp side and the hyp are 2 and 5 respectively. The adj side is found using the Pyth. Thm.: 5^2-2^2= 25-4 = 21, so that the adj side is sqrt(21).
The double angle formula for the sine is sin 2theta = 2 sin theta *cos theta.
In this particular problem, the sine of 2theta is 2*(2/5)*[sqrt(21) / 5], or:
(4/25)*sqrt(21).
Answer:
r = 7 cm; l = 11cm
The circle encloses more area than the square
Step-by-step explanation:
(a) Radius of circle
The formula for the circumference of a circle is
A = 2πr
r = A/(2π)
Data:
C = 44 in
Calculation:
r = 44/(2 × 22/7)
= 44/2 × 7/22
= 2/2 × 7
= 7 in
(b) Side of square
P = 4l
l = P/4
= 44/4
= 11 in
(c) Areas
(i) Circle
A = πr²
= 22/7 × 7²
= 22/7 × 49
= 22 × 7
= 154 cm²
(ii) Square
A = l²
= 11²
= 121 cm²
The circle encloses more area than the square.
Answer:
548 and 213
Step-by-step explanation:
Use a linear function:
Let x = 1st number
Let y = 2nd number
x+y=761
x-y=335
2x=1096
x=548
plug x into either equation
548+y=761
y=761-548
y=213
548-y=335
-y=-213
y=213
