Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
-3 = 2x+6y
2x+6y = 0
By transitivity, -3 = 0, a contradiction. No solution.
If you graph the lines, you will see they are parallel, therefore never intersect.
The area of a circle is \pi r^2, where r is the radius of the circle. The diameter of a circle is the length of a line that passes through the center of the circle and stops at the perimeter of circle. The radius of a circle is half the diameter. Divide the diameter by 2 to find the radius.
1. 2.8 m / 2 = 1.4 m
2 .
: Plug in the value we just found for r.
3.
: Use the order of operations (PEMDAS).
4.
The area of the circle is equal to
Answer:
The height of the lamp post is 15 feet ⇒ 1st answer
Step-by-step explanation:
The ladder , the lamp post and the ground formed a right triangle, the length of the ladder is its hypotenuse (l), the height of the lamp post (h) and the horizontal distance on the ground between the base of the ladder and the base of the lamp post (d) are the legs of the triangle
By using Pythagoras Theorem ⇒ <em>the square of the hypotenuse is equal to the sum of the squares of the other two legs</em>
∵ l² = h² + d²
∵ The length of the ladder is 25 feet
∴ l = 25
∵ The ladder is placed 20 feet from the lamp post
- That means the distance between the base of the ladder and
the base of the lamp post on the ground
∴ d = 20
- Substitute the values of l and d in the Pythagoras formula
∵ (25)² = h² + (20)²
∴ 625 = h² + 400
- Subtract 400 from both sides
∴ 225 = h²
- Take √ for both sides
∴ 15 = h
∴ The height of the lamp post is 15 feet
Answer:
total number of brown sugar cubes = 3
total number of white sugar cubes = 1
total number of sugar cubes = total no of brown sugar cubes + total no of white sugar cubes = 3 + 1 = 4
probability to select one brown sugar cube = total number of brown sugar cube / total number of sugar cube = 3/ 4
therefore the probability of selecting a brown sugar cube is 3/4 or 0.75
