<span>The roof is higher than the ladder can reach
10^2-1.5^2=h^2
h=sqrt(100-2.25)=9.89 feet
distance to the roof= 12-9.89</span>
Answer:
4.5 sq. units.
Step-by-step explanation:
The given curve is 
⇒
...... (1)
This curve passes through (0,0) point.
Now, the straight line is y = 3x - 6 ....... (2)
Now, solving (1) and (2) we get,

⇒ (y - 3)(y + 2) = 0
⇒ y = 3 or y = -2
We will consider y = 3.
Now, y = 3x - 6 has zero at x = 2.
Therefor, the required are = 
= ![\sqrt{3} [{\frac{x^{\frac{3}{2} } }{\frac{3}{2} } }]^{3} _{0} - [\frac{3x^{2} }{2} - 6x ]^{3} _{2}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D%20%5B%7B%5Cfrac%7Bx%5E%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%20%7D%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%20%7D%5D%5E%7B3%7D%20_%7B0%7D%20-%20%5B%5Cfrac%7B3x%5E%7B2%7D%20%7D%7B2%7D%20-%206x%20%5D%5E%7B3%7D%20_%7B2%7D)
= ![[\frac{\sqrt{3}\times 2 \times 3^{\frac{3}{2} } }{3}] - [13.5 - 18 - 6 + 12]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%5Csqrt%7B3%7D%5Ctimes%202%20%5Ctimes%203%5E%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%20%20%7D%7B3%7D%5D%20-%20%5B13.5%20-%2018%20-%206%20%2B%2012%5D)
= 6 - 1.5
= 4.5 sq. units. (Answer)
Answer:
![4\sqrt[3]{7x}](https://tex.z-dn.net/?f=4%5Csqrt%5B3%5D%7B7x%7D)
Step-by-step explanation:
Look for the same stuff under the radical symbol. Here, that "stuff" is "7x". Only one answer choice has 7x under the radical.
_____
Here, there are no cubic factors under the radical that can be factored out—either in the problem expression or in the answer choices. If there were cubic factors, you'd want to remove them before making the comparison.
For example, ∛(56x) would be a like radical to ∛(7x) because a cubic factor of 2^3 = 8 can be removed to make it be 2∛(7x).
Answer:
Step-by-step explanation:
Cassava = 1/3 of his land
Remaining after planting Cassava = 1 - 1/3 = 2/3 of his land
Maize = 2/5 x 2/3 = 4/15 of his land
Vegetables = 2/3 - 4/15 = 2/5 of his land
If vegetables = 10 acres
2/5 of his land = 10 acres
1/5 of his land = 10 ÷ 2 = 5 acres
5/5 of his land = 5 x 5 = 25 acres
Answer:
Option A= 250
Step-by-step explanation:
Coterminal angles are angles in standard positions having thesame terminal .
Coterminal angles are always negative and positive.
For example:
The coterminal angle of 30° is-
30 - 360 = -330
30 + 360 = 390
Therefore, -330 and 390 are coterminal.
So, to the question:
The angles between 0 -360 coterminal to -110 is 250.
Prove:
250 - 360 = -110
250 + 360 = 610
Option A is correct