Answer:

Step-by-step explanation:
Given: Monica wants to measure the dimensions of her rectangular lawn.
If the longer side of the lawn is BC=(x + 3) feet.
If the diagonal length is AC=(x + 4) feet.
Let the shortest side of lawn is AB=y feet
The angle of rectangle is right angle.
Using diagonal, shortest and longer side to make a right angle triangle whose hypotenuse is length of diagonal.
Using Pythagoreous theorem,






We will ignore the negative value because side of rectangle can't be negative.


Answer:
x = 2, 16.
Step-by-step explanation:
x2 - 18x + 81 = 49
(x - 9)^2 = +/- 7
x - 9 = +/- 7
x = 7 + 9, -7 + 9.
x = 2, 16.
Answer: [D]: " 196π in.³ " .
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Explanation:
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Given: radius, "r", equal 7 in.
Given: height, "h", equals 4 in.
Volume: V = Base area * h ;
The base area of a cone is a circle: A = π * r² = π* (7²) = 49π .
(NOTE: Since all answer choices given are in terms of "π" ; we will leave the units in terms of "π").
V = (Based area) * h = (49π in.) * (4 in.) = (49*4)π in.³
= 196π in.³ ; which is: Answer choice: [D] .
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Answer:
-138/7
Step-by-step explanation:
use l.c.m . Or multiply through by 30.
Answer: Initial height before launch
Step-by-step explanation:
Given
The equation
the height of toy rocket after t sec
when the rocket is launched, time is 
Substituting 0 for
in the equation

Here,
represents that rocket is already at a height of
m before the launch.