C, 51 because acute angles are less than 90° but together the angles create a right triangle which is 90°.
Step-by-step explanation:
We can break this up into pieces, first we do, 7/8 - 1/4, find the least common denominator which is 8, so the equation will be 7/8 - 2/8, which we can now subtract and will give us, 5/8, now that we have done that, we can do 5/8 - 1/2. Since we know that half of 8 (our denominator) is 4. Then the equation would be 5/8 - 4/8, which brings us to 1/8 as our final answer.
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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:
she will pay 79.36 in taxes
Step-by-step explanation:
