The polar coordinate of any point can be written as:
(r, θ) = (r, θ + 2nπ) when positive
(r, θ) = [ - r, θ + (2n + 1)π ] when negative
The polar coordinates of this given point P is: P = (r, θ) = (5, π/3).
When the value of r is positive, the polar coordinate is written as P= (5, π/3) = (5, π/3 + 2nπ)
When the value of r is negative, the polar coordinate is written as P = (5, π/3) = [ - 5, π/3 + (2n + 1)π] where n is any integer.
Therefore all polar coordinates of point P are (5, π/3 + 2nπ) and [ - 5, π/3 + (2n + 1)π ].
Answer:
13 ft.
Step-by-step explanation:
Lateral Surface area of a cube is the area of 4 sides, front side, back side, left side face and right side face.
It can be seen seen from the attached figure as well.
Each face in a cube is a square. And each side in the cube is equal.
So, Lateral surface area is nothing but 4
area of a square.
And we know that area of a square =
.
Hence, Lateral surface area = ![4 \times side^{2}](https://tex.z-dn.net/?f=4%20%5Ctimes%20side%5E%7B2%7D)
As per question:
= 676
![side^2 = 169 \\\Rightarrow side = 13](https://tex.z-dn.net/?f=side%5E2%20%3D%20169%20%5C%5C%5CRightarrow%20side%20%3D%2013)
Hence, side length of cube = 13 feet.
Answer:
B
Step-by-step explanation:
The diagram shows four points through which the line of proportional relationship should pass. One of these points has coordinates (8,28).
The line representing proportional relationship is always straight line passing through the origin and has the equation
![y=kx,](https://tex.z-dn.net/?f=y%3Dkx%2C)
where k is the coefficient of proportionality.
Substitute coordinates of known point into the equation:
![28=k\cdot 8\\ \\k=\dfrac{28}{8}=\dfrac{7}{2}=3.5,](https://tex.z-dn.net/?f=28%3Dk%5Ccdot%208%5C%5C%20%5C%5Ck%3D%5Cdfrac%7B28%7D%7B8%7D%3D%5Cdfrac%7B7%7D%7B2%7D%3D3.5%2C)
so the coefficient of proportionality is equal to ![3.5.](https://tex.z-dn.net/?f=3.5.)
Answer:
= 2.8
Step-by-step explanation:
If the quadrilaterals are similar, then the ratios of corresponding sides will be equal:
KL : QR = 4 : 5.6 = 4 / 5.6 = 5/7
JM : PS = 7 : 9.8 = 7 / 9.8 = 5/7
LM : RS = 3 : 4.2 = 3 / 4.2 = 5/7
This shows that the ratio of KJ : QP = 5/7
KJ : QP = 2 :
= 2 / ![x](https://tex.z-dn.net/?f=x)
Therefore, ![\frac{2}{x}=\frac{5}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7Bx%7D%3D%5Cfrac%7B5%7D%7B7%7D)
cross multiply: 14 = 5![x](https://tex.z-dn.net/?f=x)
Divide both sides by 5:
= 2.8
Answer:
ummm
Step-by-step explanation:
6185152673 For the second question and 0/0 is unknown for now