Answer:
502 m²
Step-by-step explanation:
We require to find b before calculating the surface area.
The volume (V) of a cuboid is calculated as
V = lbh ( l is length, b is breadth and h is height )
Here V = 510, l = b, b = 10 and h = 3, thus
b × 10 × 3 = 510
30b = 510 ( divide both sides by 30 )
b = 17
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The opposite faces of a cuboid are congruent, thus
top/bottom area = 2(17 × 10) = 2 × 170 = 340 m²
front/back area = 2(17 × 3) = 2 × 51 = 102 m²
sides area = 2(10 × 3) = 2 × 30 = 60 m²
Surface area = 340 + 102 + 60 = 502 m²
Answer:
(-4, 5)
Step-by-step explanation (work shown in attached picture):
1) Since x is already isolated in the first equation, substitute that value for x into the other equation to find y. So, substitute 16-4y for the x in 3x + 4y = 8, then solve for y. This gives us y = 5.
2) Now, substitute that given value for y back into any one of the equations to find x. I chose to do it in the first equation. Substitute 5 for the y in x = 16-4y, then solve for x this time. This gives us x = -4.
Since x = -4 and y = 5, the solution is (-4, 5).
Answer:
A) x=4
B) x=35/2
Step-by-step explanation:
calculate the product
A) 5x/2+1=11
multiply both sides of the equation by 2
5x+2=22
move the constant to the right hand side and change its sign
5x+22-2
now subtract the numbers
5x=20
now didvide both sides
5x=20
x=4
B)
calculate the product
2x/7-3=2
multiply both sides of the equation by 7
2x-21=14
move the constant to the right hand side and change its sign
2x=14+21
add the numbers
2x=35
now divide both sides of the equation by 2
x=35/2
Answer:
Step-by-step explanation:
Given that
sample size n = 55: x bar = 654.16 and s = sample sd = 162.34
Std error = 162.34/sqrt 55 = 21.889
For 95% CI we can use t critical value as population std dev is not known.
df = 54
t critical = 2.004
Margin of error = 2.004 *21.889 = 43.866
Confidence interval lower bound = 654.16-43.866 =610.294
Upper bound = 654.16+43.866=698.026
Confidence interval rounded off at 95% = (610.29, 698.23)
