To answer this you could write the first rate that is given (12 plants: 1.5 hours in fraction form and make it equivalent to a second rate of x: 1 hour. X represents the number of plants in an hour.
You can use cross products to solve for x. Please see the attached picture for the steps. The answer is 8 plants.
Answer:
The height of the roof is 534.8 feet.
Step-by-step explanation:
Let h be the height of the roof.
We know the formula
Since, the stone is dropped from the edge of the roof hence, the initial velocity should be zero. Thus, u = 0
Now, we have
v = -185 feet per second
g = 32 feet per square second
On substituting these values, we get
The height of the roof is 534.8 feet.
Answer:
x = 2
Step-by-step explanation:
x + 3 = -x + 7
Add x to each side
x+x + 3 = -x+x + 7
2x+3 = 7
Subtract 3 from each side
2x = 7-3
2x = 4
Divide by 2
2x/2 = 4/2
x = 2
<span>96 degrees
Looking at the diagram, you have a regular pentagon on top and a regular hexagon on the bottom. Towards the right of those figures, a side is extended to create an irregularly shaped quadrilateral. And you want to fine the value of the congruent angle to the furthermost interior angle. So let's start.
Each interior angle of the pentagon has a value of 108. The supplementary angle will be 180 - 108 = 72. So one of the interior angles of the quadrilateral will be 72.
From the hexagon, each interior angle is 120 degrees. So the supplementary angle will be 180-120 = 60 degrees. That's another interior angle of the quadrilateral.
The 3rd interior angle of the quadrilateral will be 360-108-120 = 132 degrees. So we now have 3 of the interior angles which are 72, 60, and 132. Since all the interior angles will add up to 360, the 4th angle will be 360 - 72 - 60 - 132 = 96 degrees.
And since x is the opposite (or congruent) angle to this 4th interior angle, it too has the value of 96 degrees.</span>
Answer:
Use the Pythagorean theorem for right triangles to solve this
a^2 + b^2 = c^2 where 'a' and 'b' are the legs of the triangle and 'c' is the hypotenuse
so:
8^2 + b^2 = 17^2 solve for the second leg, b
64 + b^2 = 289
b^2 = 289 - 64= 225
b = 15
