Answer:
The answer is 5 people
Step-by-step explanation:
This is because 30/6 equals 5
So your equation is
![2x^{2} +7x = 4](https://tex.z-dn.net/?f=2x%5E%7B2%7D%20%2B7x%20%3D%204)
. You need to simplify this answer.
So first off, do 2x times 2x.
2 x 2 = 4.
Your equation is now
![4x + 7x = 4.](https://tex.z-dn.net/?f=4x%20%2B%207x%20%3D%204.)
You're already off to a great start, so now let's add 4x + 7x. It is 11x.
Your equation is almost done! It's
![11x = 4](https://tex.z-dn.net/?f=11x%20%3D%204%20)
right now.
Divide both sides by 11, and your answer is...
0.36363636 and so on, or you can round to the nearest hundreth, in which it will be
0.36.
I hope I helped!
Answer:
Step-by-step explanation:
4x + 4 - 3
= 4x + 1
Yes they both are equivalent because the algebraic expression is same
Answer:
a) 29.45 cm (2 dp)
b) 220.89 cm² (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 = 15 cm
![\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 15\left(\dfrac{5 \pi}{8}\right)\\& = \dfrac{75}{8} \pi \\& = 29.45\: \sf cm\:(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%2015%5Cleft%28%5Cdfrac%7B5%20%5Cpi%7D%7B8%7D%5Cright%29%5C%5C%26%20%3D%20%5Cdfrac%7B75%7D%7B8%7D%20%5Cpi%20%5C%5C%26%20%3D%2029.45%5C%3A%20%5Csf%20cm%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}(15^2) \left(\dfrac{5 \pi}{8}\right)\\\\& = \dfrac{225}{2}\left(\dfrac{5 \pi}{8}\right)\\\\ & = \dfrac{1125}{16} \pi \\\\& = 220.89 \: \sf cm^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%2815%5E2%29%20%5Cleft%28%5Cdfrac%7B5%20%5Cpi%7D%7B8%7D%5Cright%29%5C%5C%5C%5C%26%20%3D%20%5Cdfrac%7B225%7D%7B2%7D%5Cleft%28%5Cdfrac%7B5%20%5Cpi%7D%7B8%7D%5Cright%29%5C%5C%5C%5C%20%26%20%3D%20%5Cdfrac%7B1125%7D%7B16%7D%20%5Cpi%20%5C%5C%5C%5C%26%20%3D%20220.89%20%5C%3A%20%5Csf%20cm%5E2%5C%3A%282%5C%3Adp%29%5Cend%7Baligned%7D)
Best Answer:<span> </span><span>694 m = 0.694 km
1hr = 3600 s
3600 × 0.694 = 2498.4 km/h</span>