Answer:
1) 27/2 2) 8pi 3) 48 4) 16+2pi
Step-by-step explanation:
1) The length of the triangle is 9 (found by finding the distance between (-5,-3) and (4,-3)) and the height is 3 (found by finding the distance between (1,0) and (1,-3)). The area of a triangle is 1/2 (length times height) which in this case is 27/2.
2) The shape is a semicircle, so the area is 1/2 pi*r^2.
1/2 * pi * r^2=8pi
3) B*H=8*6=48
4) The figure is a semicircle and a square.
The area of the semicircle is 1/2 * pi * r^2=2pi
The area of the square is b*h=4*4=16
The area is 16+2pi.
Answer:
237 feet
Step-by-step explanation:
take the circumference (5), square it, and multiply it by pi. Then add 40 for the distance of the two sides. Multiply your answer by two to find the distance for twice around
By definition, the ratio is the expression that would allow us to express the quotient of two numbers and/or any mathematical expressions. Let us take for example, numbers 4 and 5. The ratio between these values is 4/5.
The statement given above, "A ratio is a rate" is only sometimes true. This is only true when the unit of measurement of the denominator is in terms of time (seconds, minutes, hours, years, etc) because this would tell us how fast is something being done, consumed, etc. Example, the speed or rate of a car is 4 meters / 5 seconds.
Answer:
Step-by-step explanation:
Let angle ABZ be angle 1 and angle ZBC be angle 2.
Angle 1 = 85 degree
Angle 2 = 6x + 9
measure of angle ABC = 24x+4
Angle 2 = ABC - 85
6x + 9 = 24x + 4 - 85
6x - 24x = 4 - 85 - 9
-18x = -90
x = -90/-18 = 90/18 =
x = 5
Therefore the measure of angle 2 = 6*5 + 9 = 30+9 = 39 degree
Therefore the measure of angle ZBC = 39 degree
Hope you understand
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Answer:
X² - 14x + 48= 0
Step-by-step explanation:
To find the quadratic equation well have to look for the root of the equation.
So the roots are at x= 6 and x= 8
The quadratic curve didn't pass the origin .
It intercepted the x axis at 6 and 8 and that's the roots.
So our equation is
(X-6)(x-8)= x²-8x -6x +48
X² - 14x + 48= 0
