Answer:
The ladder reaches (4)(√3) ft up the wall (6.93 ft)
Step-by-step explanation:
Think of a triangle with a 60 degree angle in the lower left corner. The lower right corner is a right triangle, and 8 ft is the length of the hypotenuse. The other angle is 30 degrees.
We know the angle 60 degrees, plus the length of the hypotenuse, but need the length of the vertical side opposite the 60 degree angle. Use the sine function here because it involves these knowns:
opposite side
sin 60 degrees = ------------------------ = x/(8 ft) = (√3)/2
Cross-multiplying, we get:
2x = (8 ft)(√3), or through reduction, x = (4)(√3)
The ladder reaches (4)(√3) ft up the wall (6.93 ft)
728.56 x3 (because that is the days he is working) = $2185.68
2185.68 x4 (because that’s how many week are in a month) = $8742.72 per month
Neil will be earning $8742.72 per month
Answer: x= -4
Have to slove what’s inside the parentheses first so you distribute x & 4 from 6 which gives you 6x + 24 then you subtract 6x & -8x gives you -2x drop down the 24 & begin to do the math
Try this option:
1. the required surface area consists of: A=A₁+A₂+A₃, where
2. A₁=pi*r*l - the surface of the cone:
pi=3.14; r=4/2=2 cm; l=sqrt(6²+2²)=2√10≈6.33 (cm);
A₁=3.14*2*6.33=39.74 (cm²).
3. A₂=a²-pi*r² - the surface of the top plane:
A₂=36-3.14*4=23.43 (cm²).
4. A₃=5*a² - the surface of the five planes of the given cube:
A₃=5*6²=180 (cm²).
5. the required area:
A=39.74+23.43+180=243.17 (cm²).
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<u>Answer: 243.17</u>
Answer:
When convert mixed to improper fraction;
First, multiply the denumerator and the whole number together e.g 2 1/2=4/2,then
Second, add the result and the numerator together. that is 4+1/2=5/2.
