Answer:
1. A = 40 units²
2. A = 72 units²
3. B) 45
Step-by-step explanation:
1. This shape comprises 4 congruent triangles with base of 5 units and height of 5 units.
Area of a triangle = 1/2 x base x height
Therefore, area of polygon = 4(1/2 x 5 x 4)
= 40 units²
2. This shape comprises two pairs of congruent triangles.
Area of a triangle = 1/2 x base x height
Therefore, area of polygon = 2(1/2 x 2 x 6) + 2(1/2 x 10 x 6)
= 72 units²
3. Count the number of shaded squares:
9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45 units²
I didn't do anything but yay
Answer:
Step-by-step explanation:
Let h be the cylinders height and r the radius.
-The volume of a cylinder is calculated as:
-Since the cone is within the cylinder, it has the same radius as the cylinder.
-Let 
be the height of the cone.
-The area of a cone is calculated as;
The volume of the solid section of the cylinder is calculated by subtracting the cone's volume from the cylinders:
Hence, the approximate area of the solid portion is
m=-(5/4)
From left to right, (1,3) is first and then comes (5,-2). Always remember when finding slopes without equations, the rule is RISE over RUN, to the numerator and denominator, respectively.
The y value of the second coordinates becomes negative which is unlike the y value in the first coordinates, which means our slope is downward, meaning it has a negative sign in front.
In every slope, there’s a numerator, being the rise, and a denominator, being the run.
To find the rise, we must look at the y values. Starting at 3 going to -2 has a space of 5 units, making that our numerator.
To find the run, the first x value is 1 and the second is 5, making a space of 4, which is out denominator.
With these two numbers and the negative sign, we get -(5/4) as our slope.
Answer:
450 minutes
Step-by-step explanation:
Given
w = 45000 - 100t
Required
Determine how long it'll take to empty the pool
Being empty means there's no water in the pool.
So, we have to set w to 0 to get the value of t
i.e w = 0
Substitute 0 for w in w = 45000 - 100t
0 = 45000 - 100t
Collect Like Terms
100t = 45000
Divide through by 100.
t = 450
Hence, it'll take 450 minutes to empty the pool
