Answer:
see explanation
Step-by-step explanation:
Given that z² is directly proportional to w then the equation relating them is
z² = kw ← k is the constant of proportion
To find k use the condition z = 4 when w = 8, thus
4² = 8k
16 = 8k ( divide both sides by 8 )
2 = k
(i)
z² = 2w ← equation of proportion
(ii)
When w = 18, then
z² = 2 × 18 = 36 ( take the square root of both sides )
z = 
= 6
(iii)
When z = 5 , then
5² = 2w
25 = 2w ( divide both sides by 2 )
w = 12.5
Please refer to my attachments for visual guidelines.
We are going to solve your problem by using the pythagorean theorem, a^2+b^2 = c^2, where a and b are the legs of the triangle, and c is the hypotenuse (the longest side).
The length of the ladder is equal to 70ft (hypotenuse); one leg is the distance between the wall and the bottom of the ladder - 40 ft, the other leg is unknown for it is the distance between 10 ft above the ground and the top of the ladder-represented by "x". Using pythagorean theorem, a^2+b^=c^2, we have x^2+40^2 = 70^2. Solving the exponents, we have x^2 + 1600 = 4900.
Isolating the variable x, we have x^2 = 4900-1600. Futher simplying, x^2 = 3300. Thus, x = √
3300 or 57.4456264654 ft.
Adding 10 ft to x, therefore, the top of the leadder is 67.4456264654 ft off the ground.
Answer:
B. x > -5
Step-by-step explanation:
It seems you have a number x such that ...
This matches choice B: x > -5.
Answer:
Step-by-step explanation:
We know that the iceberg is 131 feet above the water and 273 feet bellow the water. We don't need the - on the 272 because we just want to know the length, no the direction it is going. so we add 131 and 272 and get 303.
If you read 4.8 out loud it should be "four and eight tenths." This is always a good start when changing a decimal into a fraction. 4 8/10 is a mixed number, so to further simplify it as a mixed number we leave the 4 alone and reduce the fraction 8/10. So we can reduce 8/10 to 4/5. Then you bring the 4 back and put 4/5 with it. So 4.8 as a fraction is 4 4/5.
I hope that helped!
