Answer:
Brielle
Step-by-step explanation:
10x0.55 of an hour=5.5
9x0.6 of an hour= 5.4
<span>(a) Triangles ABC and PQR are similar triangles since they both share 2 congruent angles and therefore their 3rd angle is also congruent. So the triangles are similar due to the AAA similarity theorem.
(b) The area of triangle PQR is 1 million times larger than the area of triangle ABC. This can be shown since the area of a triangle is 1/2 base times height. You can show that the base of triangle PQR is 1000 times larger than the base of triangle ABC. And since all the sides are in proportion to each other, the height of triangle PQR is also 1000 times larger than the height of triangle ABC. And since 1000 times 1000 equals 1,000,000 or 1 million, the area of triangle PQR is 1 million times larger than triangle ABC.</span>
Answer:
C(t)=5000 -10t
Step-by-step explanation:
There are many examples in the real world of relationships that are functions.
For example, imagine a tank full of water with a capacity of 5000 liters, this tank has a small hole, by which 10 liters of water are lost every hour.
If we call C the amount of water in the tank as a function of time, then we can write the following equation for C:
Where:
C (t): Amount of water in the tank as a function of time
: Initial amount of water in the tank at time t = 0
a: amount of water lost per hour
t: time in hours
Then the equation is:
The graph of C (t) is a line of negative slope. This relation is a function since for each value of t there is a single value of C.
Its domain is the set of all positive real numbers t between [0,500]
Because the time count starts at t = 0 when the tank is full and ends at t = 500 when empty
Its Range is the set of all positive real numbers C between [0,5000] Because the amount of water in the tank can never be less than zero or greater than 5000Litres
Answer: 180 in³
Step-by-step explanation:
You must apply the formula for calculate the volume of a rectangular prism, which is shown below:
Where l is the lenght, w is the width and h is the height.
Then, you must susbtitute the values given in the problem.
Therefore, you obtain that the volume is:
Answer:
Step-by-step explanation:
Given
Required
Number of curve length needed to round the circle
The length round the circle is the circumference of the circle.
To get the number of curves (n), we simply divide the circumference by the length of each curve.
i.e.
Circumference is calculated as:
So, we have:
Simplify fraction
<em>Hence, </em><em> of the curve length will fit the circle</em>