Answer:
A square root of 123 is
Step-by-step explanation:
41
surface area (S) of a right rectangular solid is:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
-----
you have:
L = 7
W = a
H = 4
-----
formula becomes:
S = 2*7*a + 2*7*4 + 2*a*4
simplify:
S = 14*a + 56 + 8*a
combine like terms:
S = 22*a + 56
-----
answer is:
S = 22*a + 56 (equation 2)
-----
to prove, substitute any value for a in equation 2:
let a = 15
S = 22*a + 56 (equation 2)
S = 22*15 + 56
S = 330 + 56
S = 386
-----
since a = 15, then W = 15 because W = a
go back to equation 1 and substitute 15 for W:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
-----
you have:
L = 7
W = 15
H = 4
-----
equation 1 becomes:
S = 2*7*15 + 2*7*4 + 2*15*4
perform indicated operations:
S = 210 + 56 + 120
S = 386
-----
surface area is the same using both equations so:
equations are good.
formula for surface area of right rectangle in terms of a is:
S = 22*a + 56
-----
Answer:
1152 tons of grains
Step-by-step explanation:
We are told in the above question:
Total number of grains = 1440 tons of grain
On the second day 80 percent of the amount of the amount of the grain delivered during the first day where brought in.
Hence,
The number of grains brought in during the first day = 80% × 1440 tons
= 80/100 × 1440 tons
= 1152 tons of grains
Answer:
it will be (2,-3)
Step-by-step explanation:
hsvs hs sdbd. dvd d d dvd dbdbdg
Answer:
14
Step-by-step explanation:
Given the indicinal expression 64^5/6 + 27^2/3 - 81^3/4
According to indices;
![a^{m/n} = (\sqrt[n]{a}) ^m](https://tex.z-dn.net/?f=a%5E%7Bm%2Fn%7D%20%3D%20%28%5Csqrt%5Bn%5D%7Ba%7D%29%20%5Em)
Applying this to the question
![64^{5/6} \\= (\sqrt[6]{64}) ^5\\= 2^5= 32](https://tex.z-dn.net/?f=64%5E%7B5%2F6%7D%20%5C%5C%3D%20%28%5Csqrt%5B6%5D%7B64%7D%29%20%5E5%5C%5C%3D%202%5E5%3D%2032)
Similarly
![27^{2/3}\\= (\sqrt[3]{27}) ^2\\= 3^2\\= 9\\](https://tex.z-dn.net/?f=27%5E%7B2%2F3%7D%5C%5C%3D%20%28%5Csqrt%5B3%5D%7B27%7D%29%20%5E2%5C%5C%3D%203%5E2%5C%5C%3D%209%5C%5C)
Also;
![81^{3/4}\\= (\sqrt[4]{81}) ^3\\= 3^3\\= 27](https://tex.z-dn.net/?f=81%5E%7B3%2F4%7D%5C%5C%3D%20%28%5Csqrt%5B4%5D%7B81%7D%29%20%5E3%5C%5C%3D%203%5E3%5C%5C%3D%2027)
Substitute inti the original equation
64^5/6 + 27^2/3 - 81^3/4
= 32 + 9- 27
= 41 - 27
= 14
Hence the required answer is 14
