A^2 + 24^2 = 26^2
a^2 + 576 = 676
a^2 = 100
a = 10
To use distributive property, all you have to do is multiply the number in the parenthesis.
Example:
3(2x+4)
To solve this problem, first, you would have to multiply 3 and 2x. Your answer would be 6x. Next, you would have multiply 3 and 4. You would get 12. Finally, your expression would be 6x+12.
Answer:
the answer is 5
Step-by-step explanation:
f(4) = 3(4) -2
7 - 2 = 5
Answer:
a) 23.56 ft (2 dp)
b) 58.90 ft² (2 dp)
Step-by-step explanation:
<u>Formula</u>
![\textsf{Arc length}=r \theta](https://tex.z-dn.net/?f=%5Ctextsf%7BArc%20length%7D%3Dr%20%5Ctheta)
![\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta](https://tex.z-dn.net/?f=%5Ctextsf%7BArea%20of%20a%20sector%7D%3D%5Cdfrac%7B1%7D%7B2%7Dr%5E2%20%5Ctheta)
![\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}](https://tex.z-dn.net/?f=%5Cquad%20%5Ctextsf%7B%28where%20r%20is%20the%20radius%20and%7D%5C%3A%5Ctheta%5C%3A%7B%5Ctextsf%7Bis%20the%20angle%20in%20radians%29%7D)
<u>Calculation</u>
Given:
- r = 5 ft
![\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 5\left(\dfrac{3 \pi}{2}\right)\\& = \dfrac{15}{2} \pi \\& = 23.56\: \sf ft\:(2\:dp)\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cimplies%20%5Ctextsf%7BArc%20length%7D%20%26%20%3Dr%20%5Ctheta%5C%5C%26%20%3D%205%5Cleft%28%5Cdfrac%7B3%20%5Cpi%7D%7B2%7D%5Cright%29%5C%5C%26%20%3D%20%5Cdfrac%7B15%7D%7B2%7D%20%5Cpi%20%5C%5C%26%20%3D%2023.56%5C%3A%20%5Csf%20ft%5C%3A%282%5C%3Adp%29%5Cend%7Baligned%7D)
![\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(5^2) \left(\dfrac{3 \pi}{2}\right)\\\\& = \dfrac{25}{2}\left(\dfrac{3 \pi}{2}\right)\\\\ & = \dfrac{75}{4} \pi \\\\& = 58.90 \: \sf ft^2\:(2\:dp)\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%20%5Cimplies%20%5Ctextsf%7BArea%20of%20a%20sector%7D%26%20%3D%5Cdfrac%7B1%7D%7B2%7Dr%5E2%20%5Ctheta%5C%5C%5C%5C%20%26%20%3D%20%5Cdfrac%7B1%7D%7B2%7D%285%5E2%29%20%5Cleft%28%5Cdfrac%7B3%20%5Cpi%7D%7B2%7D%5Cright%29%5C%5C%5C%5C%26%20%3D%20%5Cdfrac%7B25%7D%7B2%7D%5Cleft%28%5Cdfrac%7B3%20%5Cpi%7D%7B2%7D%5Cright%29%5C%5C%5C%5C%20%26%20%3D%20%5Cdfrac%7B75%7D%7B4%7D%20%5Cpi%20%5C%5C%5C%5C%26%20%3D%2058.90%20%5C%3A%20%5Csf%20ft%5E2%5C%3A%282%5C%3Adp%29%5Cend%7Baligned%7D)