A cone has a circular base with a diameter of 18 inches. The height of the cone is 40 inches. What is the approximate lateral ar
1 answer:
The approximate lateral area of the circular cone with has the base diameter 18 in and height 40 in long is 1,159 square inches
<h3>What is the lateral area of cone?</h3>Lateral area of the cone is the area bounded by the surface of the cone, and this Lateral area of the cone can be found out using the following formula.
here. (<em>h</em>) is the height of the cone and (<em>r</em>) is the radius of the cone.
A cone has a circular base with a diameter of 18 inches. The height of the cone is 40 inches.
Put these values in the above formula as,
Hence, the approximate lateral area of the circular cone with has the base diameter 18 in and height 40 in long is 1,159 square inches
Learn more about the lateral area of the cone here:
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Answer:
B) 40 ft
Step-by-step explanation:
Use the picture for a reference.
1. We can see the diagonal forms a triangle. Since the angles of a rectangle are right, we can use the Pythagorean Theorem to solve for x.
2. The Pythagorean Theorem
a^2 (a squared) + b^2 (b squared) = c^2 (c squared)
a = 30 ft (width)
b = x ft (unknown length)
c = 50 ft (diagonal)
3. Substitute in the values:
30^2 + x^2 = 50^2
900 + x^2 = 2500
x^2 = 1600
x = 40
The length of the field is 40 ft.
Answer:
<em>Table shown below</em>
Step-by-step explanation:
<u>Linear Modeling</u>
It consists of finding and using the equation of a line to represent the behavior of a real situation in numerical terms.
We are given the model of the charges for a satellite radio company that charges a fixed fee of $36 for installation and a variable fee of $42 per month for use.
The model is written as:
C(m) = 36 + 42m
Where m is the number of months.
For m=1:
C(1) = 36 + 42(1)=$78
For m=2:
C(2) = 36 + 42(2)=$120
For m=3:
C(3) = 36 + 42(3)=$162
For m=4:
C(4) = 36 + 42(4)=$204
For m=5:
C(5) = 36 + 42(5)=$246
The calculations are resumed in the table shown below.
