Answer:
(3, 1.7)
Step-by-step explanation:
The point at which the vertices of a triangle meet is known as the orthocenter of the triangle. The orthocenter passes through the vertex of the triangle and is perpendicular to the opposite sides.
Two lines are perpendicular if the product of their slopes is -1.
The slope of the line joining D(0,0), F(3,7) is:

The slope of the line perpendicular to the line joining D and F is -3/7. The orthocenter is perpendicular to the line joining D and F and passes through vertex E(7, 0). The equation is hence:

The slope of the line joining E(7,0), and F(3,7). is:

The slope of the line perpendicular to the line joining E and F is 4/7. The orthocenter is perpendicular to the line joining E and F and passes through vertex D(0, 0). The equation is hence:

The point of intersection of equation 1 and equation 2 is the orthocenter. Solving equation 1 and 2 simultaneously gives:
x = 3, y = 1.7
Answer:
7/6
Step-by-step explanation:
7/3÷4/5
7/3×5/4
35/12
Now the multiplication
2/5×35/12
70/60
7/6
Answer:
volume of cylinder = 1232cm³
Step-by-step explanation:
from the question
volume of cylinder =?
height of the cylinder = 8cm
Base diameter of the cylinder = 14cm
to solve this problem we need to know the formula to calculate the volume of a cylinder
volume of cylinder = πr²h
or
volume of cylinder = π(d/2)²h........................... if we are given diameter and not radius.
D= 14cm
d = 14/2
d = 7cm
now,
volume of cylinder = π × (7)² × 8
volume of cylinder = 22/7 ×49 ×8
volume of cylinder = 22 × 7 × 8
volume of cylinder = 1232cm³
therefor the volume of the cylinder is equals to 1232cm³
Answer:
21,316! hope that helps lol
We know there are 12 months in a year so we would multiply 1 1/4 by 12. We can write 1 1/4 as 1.25 (to make it easier to multiply). 12x1.25=15
Your answer is 15 vacation days in one year