Answer:
Step-by-step explanation:
Solving (a):
7x - 19 and 3x + 14 are interior angles.
So:
Collect like terms
7x - 19 and 5y - 2 are equal angles --- corresponding angles
So:
Make 5y the subject
5y = 7x -17
Make y the subject
Substitute
Solving (b):
The triangle is right-angled.
So:
Collect Like Terms
Answer: 450 cm³ is the volume
Step-by-step explanation:
Volume of pyramid = L x W x H divide by 3
Answer:
area of pool = w(w+5) = w^2 + 5w square feet
Explanation:
The height of the pool is used as its width.
Assume that the width of the pool is w feet.
Now, we are given that the length of the pool is 5 feet longer than its width.
This means that:
length of the pool = w + 5 feet
The area of the rectangle is calculated as follows:
area = length * width
area = (w+5) * (w)
area = w^2 + 5w square feet
Hope this helps :)
Answer:
x = 7
Step-by-step explanation:
-3 + 2x = 11
(group like terms)
2x = 11 + 3
2x = 14
(divide both sides by 2 to make x stand alone)
2x/2 = 14/2
x = 7
When working with very large or very small numbers, scientists, mathematicians, and engineers use scientific notation to express these quantities. Scientific notation is a mathematical abbreviation, based on the idea that it is easier to read an exponent than to count many zeros in a number. Very large or very small numbers need less space when written in scientific notation because the position values are expressed as powers of 10. Calculations with long numbers are easier to do when using scientific notation
