Answer:
0.2146
Step-by-step explanation:
From the picture:
The radius of the circle = r. This means that the area of the circle = πr²
Also For the square, the length of the square = 2r, Therefore the area of the square = Length × length = 2r × 2r = 4r²
The area inside the square but outside the circle = Area of square - Area of circle = 4r² - πr² = r²(4 - π) = 0.8584r²
The ratio of the area inside the square but outside the circle to the area of the square = r²(4 - π) / 4r² = (4 - π) / 4 = 1 - π/4 = 0.2146
Answer:
Step-by-step explanation:
given that the following linear regression prediction equation: Y = 12 + –1x
Here slope = -1
Whenever regression slope is negative, we can say that the two variables x and y are negatively correlated.
In other words, when y increases x decreases and vice versa.
The relationship between the variables is negative or inverse.
The graph of this line with negative slope shows the line as moving from top left to bottom right
Here slope = -1
Hence for unit increase in x, there is one unit increase in y.
Answer:
If EFGH is an isosceles trapezoid,
if
EH=4x-27+
FG=x%2B9+
EG=3y%2B19
FH=11y-21
then EH=FG and EG=FH
set up equations:
4x-27=x%2B9 .......solve for x
4x-x=27%2B9
3x=36
x=36%2F3
3y%2B19=11y-21.......solve for y
11%2B19=11y-3y
30=8y
y=30%2F8
y=15%2F4
y=3.75
so,x=12 and y=3.75
you can also check the length of equal sides and equal diagonals:
EH=4%2A12-27+=21
FG=12%2B9+=21
EG=3%283.75%29%2B19=30.25
FH=11%283.75%29-21=30.25x=12
Step-by-step explanation:
Answer:
33.634 ; 134.536 ; d = √[(50t)² + (45t)²]
Step-by-step explanation:
Given the following :
Toyota Prius = East at 50mph
Dodge Circuit = South at 45mph
Distance apart after 30 minutes :
Distance = speed * time
Distance moved by Prius = ( 50mph × 0.5hr) = 25 miles
Distance moved by Circuit = ( 45mph × 0.5hr) = 22.5 miles
Hence Displacement after 30 minutes :
d = √(25² + 22.5²)
d = √625 + 506.25
d = √1131.25
d = 33.634 miles
Distance apart after 2 hours :
Distance = speed * time
Distance moved by Prius = ( 50mph × 2hr) = 100 miles
Distance moved by Circuit = ( 45mph × 2hr) = 90 miles
Hence Displacement after 2 hours :
d = √(100² + 90²)
d = √10000 + 8100
d = √18100
d = 134.536 miles
Distance d in miles after t hours :
d = √[(50t)² + (45t)²]
Answer:
x = 4 sqrt(5)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
8^2 + x^2 = 12^2
64+ x^2 =144
Subtract 64 from each side
x^2 = 144-64
x^2 =80
Take the square root of each side
sqrt(x^2) = sqrt(80)
x = sqrt(16*5)
x = 4 sqrt(5)
