The product of side length and altitude is area. The area remains the same regardless of how you measure it.
From the first side and altitude,
.. area = side*altitude = (4.2 cm)*(3.6 cm) = 15.12 cm^2
From the second side and altitude
.. area = side*altitude
.. 15.12 cm^2 = side*(2.4 cm)
.. side = (15.12 cm^2)/(2.4 cm) = 6.3 cm
The perimeter is the sum of the measures of all sides. Opposite sides are of equal measure.
.. perimeter = 2*(4.2 cm +6.3 cm) = 21.0 cm
Answer:
Step-by-step explanation:
x^2-16y-4x-12=0
Transpose and separate x and y
16y = x^2-4x-12
16y = (x^2-4x+4) -16
16y = (x-2)^2 -16
y = (1/16)(x-2)^2 -1
This means that the vertex is at
(x-2)=0 or x=2
y = -1
=> vertex (2,-1)
Answer:
Meredith runs <em><u>90</u></em> meters in 1 min
Step-by-step explanation:
The information says that she runs at a rate of 90 meters per minute.
90 meters in 1 min
180 meters in 2 min
Answer:
314.2 cm²
Step-by-step explanation:
The area of the circular cross section of the pipe is given by A = πd²/4 where d = diameter of pipe = 20 cm
So, A = πd²/4
substituting the value of d into the equation, we have
A = π(20 cm)²/4
A = π400 cm²/4
A = 100π cm²
A = 314.16 cm²
A ≅ 314.2 cm²