Answer: He will have enough paint to put one coat of paint on all of the tables.
49 percent of 1013 is 496.35
Answer:
see explanation
Step-by-step explanation:
(a)
For the graph to display direct proportion it must pass through the origin.
The graph shown does not pass through the origin thus does not represent direct proportion.
(b)
Given that q is directly proportional to r then the equation relating them is
q = kr ← k is the constant of proportion
To find k use the condition q = 76 when r = 20, thus
76 = 20k ( divide both sides by 20 )
3.8 = k
q = 3.8r ← equation of proportion
When r = 45, then
q = 3.8 × 45 = 171
Basically, we are to find the area of the television screen. Because a TV is rectangular in form, the formula for the area is written below:
A = L×W
The given dimensions are 64 inches in length and 52 inches in width. But that includes the edges. To compute for the screen area only, we subtract 4 inches (2 inches on both sides) to each dimension.
A = (64 - 2)(52 - 2)
A = 3,100 square inches
Answer:
![\boxed{\sqrt{65}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csqrt%7B65%7D%7D)
Step-by-step explanation:
The radius of circle D is the distance from the origin to (-4, -7).
In math, the distance formula gives us the distance between two points, (x₁, y₁) and x₂, y₂):
![d = \sqrt{(x _{2}-x_{1})^{2} +(y _{2}-y_{1})^{2}}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x%20_%7B2%7D-x_%7B1%7D%29%5E%7B2%7D%20%2B%28y%20_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D%7D)
You are really using Pythagoras' Theorem to find the distance. You are building a right triangle whose hypotenuse connects two given points.
For example, in the blue triangle below, the distance between the points (0,0) and (-4, -7) is
![d = \sqrt{(0 - (-4))^{2} +(0 -(- 7))^{2}}\\\\ = \sqrt{4^{2} +7^{2}}\\ = \sqrt{16 + 49}\\=\sqrt{65}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%280%20-%20%28-4%29%29%5E%7B2%7D%20%2B%280%20-%28-%207%29%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%3D%20%5Csqrt%7B4%5E%7B2%7D%20%2B7%5E%7B2%7D%7D%5C%5C%20%3D%20%5Csqrt%7B16%20%2B%2049%7D%5C%5C%3D%5Csqrt%7B65%7D)
![\text{The radius of the circle is }\boxed{\mathbf{\sqrt{65}}}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20radius%20of%20the%20circle%20is%20%7D%5Cboxed%7B%5Cmathbf%7B%5Csqrt%7B65%7D%7D%7D)