Answer:
1/12
Step-by-step explanation:
The whole circumference (i.e complete circle) is an arc which measures 360°
in our case, it is given that our arc measures only 30°
the fraction of our arc of 30° to the complete circle of 360° is
30/360
= 3/36
= 1/12
Answer:
(a) Equations for both
--- lifeguard
--- camp counselor
(b) Total pay for 5 days
Lifeguard pays $800
Camp counselor pays $375
(c) Which pays more
Lifeguard job pays more
Step-by-step explanation:
Let
Given
Lifeguard job
Camp counselor job
Solving (a): The equation for both
The total pay for each job is calculated as:
Total Pay = Signing Bonus + Rate * Hours
So, we have:
Lifeguard
Camp counselor
Solving (b): Total pay for 5 days
First, we calculate the total hours worked in 5 days
So, the pay for each is:
--- Lifeguard
--- camp counselor
Solving (c): Which job pays more
By comparing the solution in (b)
<em>Hence, lifeguard job pays more</em>
C=pi*d
=22/7*7
=22
22 is the circumference of first circle
Answer:
A) 24 ft³
Step-by-step explanation:
The area of the right triangle base is ...
A = (1/2)(3)(4) = 6 ft²
The volume of the triangular prism is the product of the area of its base (6 ft²) and its height (4 ft).
V = Bh = (6 ft²)(4 ft) = 24 ft³ . . . . matches choice A
_____
<em>Comment on the triangle</em>
You know the 3-4-5 triangle is a right triangle, because you have seen those numbers many times in relation to the Pythagorean theorem. If you don't know that, then you can check to see by using the Pythagorean theorem:
5² = 3² +4²
25 = 9 + 16 . . . . . true; so the triangle is a right triangle
In any event, there are other means for finding the area of the triangle based on the lengths of its sides. You will get the same area result.
Using Heron's formula, s = (a+b+c)/2 = (3+4+5)/2 = 6.
A = √(s(s -a)(s -b)(s -c)) = √(6(3)(2)(1)) = √36 = 6 . . . . area of base triangle
