Answer:
942 ft²
Step-by-step explanation:
The diagram shows the area to be 3/4 of that of a circle of radius 20 ft. The area of a circle is given by ...
A = πr² = π(20 ft)² = 400π ft²
Then 3/4 of that area is ...
dog run = (3/4)(400π ft²) = 300π ft² ≈ 942.48 ft²
The area of the dog's run is about 942 ft².
Answer:
g = -1
Step-by-step explanation:
Given the following data;
Slope, m = 9
Points = (-7, -10) and (-6, g)
X-axis = x1, x2 = (-7, -6)
Y-axis = (y1, y2) = (-10, g)
Mathematically, slope is given by the formula;
Substituting into the equation, we have;
9 = (g - (-10))/(-6 - (-7)
9 = (g + 10)/(-6 + 7)
9 = (g + 10)/1
Cross-multiplying, we have;
9 = g + 10
g = 9 - 10
g = -1
Answer:
option 4.
16 square units
Step-by-step explanation:
as we do not have the measures of the sides, but if the points of the vertices with Pythagoras we can calculate the sides.
P = (2 , 4)
S = (4 , 2)
we have to subtract the values of p from s
PS = (4 - 2 , 2 - 4)
PS = (2 , -2)
by pitagoras h ^ 2 = c1 ^ 2 + c2 ^ 2
h: hypotenuse
c1: leg 1
c2: leg 2
PS^2 = 2^2 + -2^2
PS = √ 4 + 4
PS = √8
PS = 2√2
S = (4 , 2)
R = (8 , 6)
SR = (8-4 , 6-2)
SR = (4 , 4)
by pitagoras h ^ 2 = c1 ^ 2 + c2 ^ 2
h: hypotenuse
c1: leg 1
c2: leg 2
SR^2 = 4^2 + 4^2
SR = √ (16 + 16)
SR = √32
SR = 4√2
having the values of 2 of its sides we multiply them and obtain their area
PS * RS = Area
2√2 * 4√2 =
16
Yes. If we wanted to get even more specific, -2 is an integer, which falls under the label of the real numbers. √-2, on the other hand, is an imaginary number. The square root of -1 doesn't exist in the real numbers, so we invent a new number i with the property that i² = -1. Blending real and imaginary numbers together creates <em>complex numbers, </em>numbers with a real and imaginary part. This extension of the number system is tremendously useful because it essentially makes numbers two-dimensional, allowing us to manipulate and study them through a geometric lens.
You can line them up underneath each other and skip count is one way like this :
2; 2,4,6,8,10
4; 4,8,12,16,
and your answer would be 8 because it is a common number between 2 and 4
