Answer:
dv = surface area * dh
so
dv/dt = surface area * dh/dt
width at surface = 40 + (80-40)(30/40)
= 40 + 30 = 70 cm = 0.70 m
so
surface area = 9 * .7 = 6.3 m^2
so
.3 m^3/min = 6.3 m^2 * dh/dt
and
dh/dt = .047 meters/min or 4.7 cm/min
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Recall a linear function, is a line on a graph made up of an infinite amount of points which satisfy the relationship. That means at x=3 there is a specific point on the line with an output. The value of a function at x=3 asks, what is the output y value for the input x value?
To find it, we locate 3 on the x-axis. We draw a vertical line directly to the line following the grid line. We mark the point on the line. We then draw a horizontal line directly to the y-axis following the grid line. The point we hit on the y-axis is the value of the function.
Here it is 4.
1/5^2 = 1/25
1/5^1 = 1/5
1/5^0 = 1
1/5^-1 = 5
1/5^-2 = 25
Given rectangle RUTS, the missing reasons that justifies the five statements in the two-column proof are:
- Given
- Definition of rectangle.
- Definition of rectangle.
- By SAS Congruence Theorem.
- By CPCTC.
<h3>What is a Rectangle?</h3>
- A rectangle is a quadrilateral.
- All four angles in a rectangle are right angles.
- The opposite sides of a rectangle are parallel and congruent to each other.
Therefore, based on what we are given and the definition of a rectangle, we can establish that △URS ≅ △STU by SAS.
Since △URS ≅ △STU, therefore ∠USR = ∠SUT by CPCTC.
In conclusion, given rectangle RUTS, the missing reasons that justifies the five statements in the two-column proof are:
- Given
- Definition of rectangle.
- Definition of rectangle.
- By SAS Congruence Theorem.
- By CPCTC.
Learn more about properties of rectangle on:
brainly.com/question/2835318
Answer:
There are 60 monkeys in the Zoo
Step-by-step explanation:
In this question, we are asked to calculate the number of monkeys in a Zoo given some information to use.
Let’s have the total number of monkeys be m.
60% are going monkeys. This means number of young monkeys is 0.6m.
The number of baby and old monkeys is obviously 0.4m.
Ratio of baby to old monkeys is 3:1. This means if we splitter 0.4m into 4, number of baby monkeys is 0.3m while number of old monkeys is 0.1m
Now, subtracting the number of baby monkeys from young monkeys give a total of 18 monkeys.
Let’s project this mathematically;
This means ;
0.6m - 0.3m = 18
0.3m = 18
m = 18/0.3
m = 60
There are 60 monkeys in the zoo
