Lisa is incorrect although it is an odd number it is not composite. It only has itself and 1. Therefore its a prime number.
This is the definition for prime if you still dont understand.
A prime number is a whole number greater than 1 whose only factors are 1 and itself.
Answer:
7/17
Step-by-step explanation:
16 inches of concrete plus 4 inches of limestone come to 20 inches of concrete and limestone combined. Subtracting 20 inches from 34 inches yields 14 inches. 14 inches of the total wall thickness (34 inches) is brick. This fraction is 14/34, or 7/17.
x = average of next 5 quizzes
4 * 73 = first 4 quizzes
There will be a total of 4 +5 = 9 quizzes
Average of all quizzes = 88 = (4*73+5x)/9
9*88 = 9*(292 +5x)/9
792 = 292 + 5x
500 = 5x
X = 500/5 = 100
<span> Next 5 quizzes need
to average 100</span>
The height of the tree is 60 meters.
Explanation:
Let the height of the tree be x. The tree casts a shadow of
meters and the distance from the top of the tree to the end of the shadow is
meters.
The sides of the triangle are attached in the image below:
Using pythagoras theorem,

Expanding, we get,




Solving the equation using the quadratic formula
, we get,

Simplifying, we have,



Thus,
and 
where the value
is not possible because substituting the value
in
results in negative solution. Which is not possible.
Hence, the value of x is 60.
Thus, The height of the tree is 60 meters.