Answer:
Prism B has a larger base area
Step-by-step explanation:
Given
Base dimensions:
Prism A:
Lengths: 6cm, 8cm and 10cm
Prism B:
Lengths: 5cm and 5cm
Required [Missing from the question]
Which prism has a larger base area
<u>For prism A</u>
First, we check if the base dimension form a right-angled triangle using Pythagoras theorem.
The longest side is the hypotenuse; So:
The above shows that the base dimension forms a right-angled triangle.
The base area is then calculated by;
Area = 0.5 * Products of two sides (other than the hypotenuse)
<u>For Prism B</u>
So, the area is:
<em>By comparison, prism B has a larger base area because </em><em></em>
The answer is 5. Write the numbers and cross out each number alternating sides of number line until you end up with one number left.
Answer:
x = 2, y = 3
Step-by-step explanation:
x + y = 5
Shift y to the other side and change to (-y).
x = 5 - y --- Equation 1
x - 2y = -4 --- Equation 2
Substitute x = 5 - y into Equation 2:
x - 2y = -4
5 - y - 2y = -4
Shift 5 to the other side and change to (-5).
-y - 2y = -4 - 5
Evaluate like terms.
-3y = -9
Divide both sides by -3.
y = -9 ÷ -3
y = 3
Substitute y = 3 into Equation 1:
x = 5 - y
x = 5 - 3
x = 2
Answer:
30 hours.
Step-by-step explanation:
Richard can build 15 snowballs in 1 hour
But 2 snowballs melt every 15 minutes
In 1 hour, the number of snowballs that will have melted is:
× 2 = 8
The number of snowballs that will have remained = 15 - 8 = 7
So 7 snowballs will have remained in 1 hour
For 210 snowballs to have remained, it will take:
× 1 = 30 hours.