“Unit rate” is a comparison of any two separate but related measurements when the second of these measurements is reduced to a value of one. Calculating the unit rate in any set of circumstances will require the use of division.
Answer:
B 18.38
Step-by-step explanation:
log4x = 2.1
logx/log4 = 2.1
logx = log(4) x 2.1
logx = 1.2643
x = antilog(1.2643)
x = 18.38 (to 2 d.p)
The pythagorean theorem states that a^2+b^2=c^2.
3^2 is 9.
9+9=18
The square root of 18 is approximately 4.24.
a.
![\sqrt{18}](https://tex.z-dn.net/?f=%20%5Csqrt%7B18%7D%20)
b.
![3 \sqrt{2}](https://tex.z-dn.net/?f=3%20%5Csqrt%7B2%7D%20)
c.4.24
Step-by-step explanation:
☄ ![\underline {\underline{ \text{Given}}} :](https://tex.z-dn.net/?f=%20%5Cunderline%20%7B%5Cunderline%7B%20%5Ctext%7BGiven%7D%7D%7D%20%3A%20)
- Length of a park ( l ) = 55 m
- Breadth of a park ( b ) = 35 m
- Width running outside the park ( d ) = 2.5 m
- Rate of paving the path with stones = Rs 120 per sq.metre
☄ ![\underline{ \underline{ \text{To \: find}}}:](https://tex.z-dn.net/?f=%20%5Cunderline%7B%20%5Cunderline%7B%20%5Ctext%7BTo%20%5C%3A%20find%7D%7D%7D%3A%20)
- Area of the park
- Cosy of paving the path with stones at Rs 130 per sq.metre
☄ ![\underline{ \underline{ \text{Solution}}} :](https://tex.z-dn.net/?f=%20%5Cunderline%7B%20%5Cunderline%7B%20%5Ctext%7BSolution%7D%7D%7D%20%3A%20)
Part 1 : ![\boxed{\text{Area \:of \:a \:path \: running \:outside = 2d(l + b + 2d)}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%5Ctext%7BArea%20%5C%3Aof%20%5C%3Aa%20%5C%3Apath%20%5C%3A%20running%20%5C%3Aoutside%20%3D%202d%28l%20%2B%20b%20%2B%202d%29%7D%7D)
plug the known values and simplify :
⟹ ![\sf{2 \times 2.5(55 + 35 + 2 \times 2.5)}](https://tex.z-dn.net/?f=%20%5Csf%7B2%20%5Ctimes%202.5%2855%20%2B%2035%20%2B%202%20%5Ctimes%202.5%29%7D)
⟹ ![\sf{5 \times 95}](https://tex.z-dn.net/?f=%20%5Csf%7B5%20%20%5Ctimes%2095%7D)
⟹ ![\sf{475 \: {m}^{2} }](https://tex.z-dn.net/?f=%20%5Csf%7B475%20%5C%3A%20%20%7Bm%7D%5E%7B2%7D%20%7D)
Part 2 : ![\boxed{ \sf{Total \: cost = Area \: of \: paths \: \times Rate}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Csf%7BTotal%20%5C%3A%20cost%20%3D%20Area%20%5C%3A%20of%20%5C%3A%20paths%20%5C%3A%20%20%5Ctimes%20%20Rate%7D%7D)
⟹ ![\sf{475 \times 120}](https://tex.z-dn.net/?f=%20%5Csf%7B475%20%20%5Ctimes%20120%7D)
⟹![\sf{Rs \: 57000}](https://tex.z-dn.net/?f=%20%5Csf%7BRs%20%5C%3A%2057000%7D)
![\purple{ \boxed{ \boxed{ \sf{ \tt{⟿ \: Our \: final \: answer : (i) = 475 \: {m}^{2} \: and \: (ii ) = Rs \: 57000}}}}}](https://tex.z-dn.net/?f=%20%5Cpurple%7B%20%5Cboxed%7B%20%5Cboxed%7B%20%5Csf%7B%20%5Ctt%7B%E2%9F%BF%20%5C%3A%20Our%20%5C%3A%20final%20%5C%3A%20answer%20%3A%20%28i%29%20%3D%20475%20%5C%3A%20%20%7Bm%7D%5E%7B2%7D%20%20%20%5C%3A%20%20and%20%5C%3A%20%28ii%20%29%20%3D%20Rs%20%5C%3A%2057000%7D%7D%7D%7D%7D)
Hope I helped ! ♡
Have a wonderful day /night ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
The funds in the account remain for as long as you’re employed by the company sponsoring the FSA.