Answer:
19.) must add 9.02 to both sides the answer will be n= 12.87
20.) must subtract 31.53 from 62.4 but add a zero behind the 4 in the number 62.4 and the answer will be r=30.87
22.) Jake needs about 2.21 meters of wood to complete the school project.
Step-by-step explanation:
Answer:
2299 in^2
Step-by-step explanation:
The formula for the volume of a square pyramid of base A and height h is
V = (A)(h).
Here, the perimeter of the base is 44 inches, so that the length of one side must be (44 in) / 4, or 11 in. The area of a square of side s is A = s^2, so we have:
Here, V = (11 in)^2 * (19 in) = 2299 in^2
9514 1404 393
Answer:
- 7.5 ft
- 32.5 ft, 5 ft
- 10.7 ft
Step-by-step explanation:
a) The starting height is h(0) = 7.5 feet, the constant in the quadratic function.
The irrigation system is positioned <u> 7.5 </u> feet above the ground
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b) The axis of symmetry for quadratic ax^2 +bx +c is x = -b/(2a). For this quadratic, that is x=-10/(2(-1)) = 5. This is the horizontal distance to the point of maximum height. The maximum height is ...
h(5) = (-5 +10)(5) +7.5 = 32.5 . . . feet
The spray reaches a maximum height of <u> 32.5 </u> feet at a horizontal distance of <u> 5 </u> feet from the sprinkler head.
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c) The maximum distance will be √32.5 + 5 ≈ 10.7 ft.
The spray reaches the ground at about <u> 10.7 </u> feet away.
Answer:
There is not a slope perpendicular to the lie x = -6
Step-by-step explanation:
In this equation, you are given a line, x = -6.
This is in fact a line with an undefined slope. The slope for a perpendicular intersection is the opposite reciprocal of the slope.
Eg. If you have the line y = 2x
The reciprocal is y = 1/2x, the opposite means negative
So the slope that would intersect this line perpendicularly is y = -1/2x.
There is an undefined slope in this, therefore, you cannot find the slope for a line perpendicular to x = -6.
If it were an option, I would choose "no slope"
Answer:
the inequality would be, b/3<=16
Step-by-step explanation:
