What is (3z+1) + (5+7z)
1 answer:
You might be interested in
ANSWER:
1) 25.70 cm 2) 30.84 cm 3) 10.71 km 4) 1.07 km 5) 6.71 cm 6) 10.07 mm
EXPLANATION:
<em>1. Know that the circumference formula for a full circle is:</em>
The value of pi () = 3.14
The radius () will be given in the diagrams.
<em>2. Now we can figure out the perimeters. </em>
<u>Shape One: Semi-circle</u>
C = 2 x 3.14 x 5
C = 31.4 cm
Divide the circumference by 2 because it is a semi-circle. Then add 10 cm to this (because the flat side is 10 cm).
P =
P = 25.7 cm ≈ 25.70 cm
<u>Shape Two: Semi-circle</u>
C = 2 x 3.14 x 6 (the picture shows the diameter so we need to half that to get the radius)
C = 37.68 cm
Divide the circumference by 2 because it is a semi-circle. Then add 12 cm to this (because the flat side is 12 cm).
P =
P = 30.84 cm
<u>Shape Three: Quadrant</u>
C = 2 x 3.14 x 3
C = 18.84 km
Divide the circumference by 4 because it is a quadrant. Then add 6 km to this (because the two flat sides are 3 km each and so it is 6 km total).
P =
P = 10.71 km
<u>Shape Four: Quadrant</u>
C = 2 x 3.14 x 0.3
C = 1.884 km
Divide the circumference by 4 because it is a quadrant. Then add 0.6 to this (because the two flat sides are 0.3 km each and so it is 0.6 km total).
P =
P = 1.071 km ≈ 1.07 km
<u>Shape Five</u>
C = 2 x 3.14 x 1
C = 6.28 cm
For this shape, we need to subtract the circumference of the missing sector from the circumference of the full circle to obtain the circumference for this shape. So, the circumference for the shape would be:
C =
C = 6.28 - 1.57
C = 4.71 cm
Then add the flat sides (1 cm + 1 cm = 2 cm) to this circumference to get the perimeter.
P = 4.71 + 2
P = 6.71 cm
<u>Shape Six</u>
C = 2 x 3.14 x 1.5 (Divide the 3 mm diameter by 2 to get the radius)
C = 9.42 cm
Do the same thing you did for Shape 5.
C =
C = 7.065 mm
Then add the flat sides (1.5 + 1.5 = 3) to this circumference.
P = 7.065 + 3
P = 10.065 mm ≈ 10.07 mm
Answer:
32901 gallons
Step-by-step explanation:
First, we find the volume of the cylindrical water tank when it is full.
The volume of a cylinder is given as:
V =
where r = radius and h = height of the cylinder
The diameter of the tank is 20 feet, hence, its radius is 10 feet.
Volume, V, is therefore:
V =
This is the volume of the tank, when it is full.
When it is 70% full, the volume will be:
1 cubic foot () is 7.48 gallons.
Therefore, the volume of the 70% full tank in gallons will be:
4398.23 * 7.48 = 32901.05 gallons ≅ 32901 gallons
The tank contains 32901 gallons of water.