Answer: 800pi inches
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Explanation:
The formula to find the circumference of a circle is
C = pi*d
where
C = distance around the circle (aka circumference)
pi = 3.14 approximately
d = diameter
We know that the diameter of the wheel is d = 8, so
C = pi*d
C = pi*8
C = 8pi
is the circumference of the wheel
One full rotation will have the wheel cover a distance of 8pi inches. Imagine that wet paint is on the outer surface of the wheel. If the wheel is rolled out in a straight line, then the wet paint would cover a linear distance of 8pi inches along the flat ground. This is one full rotation, so 100 rotations covers 100*8pi = 800pi inches
Note: if we use pi = 3.14 as the approximation, then the hamster ran approximately 800*pi = 800*3.14 = 2512 inches if the wheel could move
The expression 1x² + 14x + 40 is a quadratic expression, and the answers in the yellow boxes are 40 and 14
<h3>How to complete the boxes?</h3>
The quadratic expression is given as:
1x² + 14x + 40
This implies that:
a = 1
b = 14
c = 40
Because a quadratic expression is represented as:
ax² + bx + c
The expressions in the yellow boxes are:
a * c and b
So, we have:
a * c = 1 * 40 = 40
b = 14
Hence, the answers in the yellow boxes are 40 and 14
Read more about quadratic expressions at:
brainly.com/question/18797214
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Answer
Find out the Area of a triangle .
To proof
Formula
Area of Triangle
Now vertices are D(3, 3) , E(3, −1) , and F(−2, −5) .
Solving the above
= -10 units²
(Neglected the negative sign as area cannot be negative.)
= 10 units ²
Area of a triangle is 10 units ²
Hence proved
The number of unique ways is given by the number of possible
combination having distinct members.
The number of unique ways there are to arrange 4 of the 6 swimmers are <u>15 ways</u>.
Reasons:
The given parameters are;
The number of swimmers available = 6 swimmers
The number of swimmers the coach must select = 4 swimmers
Required:
The number of unique ways to arrange 4 of the 6 swimmers.
Solution:
The number of possible combination of swimmers is given as follows;
Therefore, the coach can select 4 of the 6 available swimmers in <u>15 unique ways</u>
Learn more here:
brainly.com/question/23589217
Answer:
<u>Approximate values according to picture:</u>
<u>The values of given expressions:</u>
- a) a + b + c = 1.6 + 4 + 5.8 = 11.4
- b) c - b + a = 5.8 - 4 + 1.6 = 3.4
- c) c ÷ a + b = 5.8 ÷ 1.6 + 4 = 3.6 + 4 = 7.6 (3.6 is rounded)
