I think 2 equal ratios are called a <u>proportion</u>
The perimeter of the triangle, rounded to the nearest tenth, is 8.5 units.
Answer:
46°
Step-by-step explanation:
Answer:
24) x = 9.2
25) x = 30.8
Step-by-step explanation:
Given
See attachment for triangles
Solving (24)
To solve for x, we make use of cosine formula
i.e.
cos(40) = adjacent ÷ hypotenuse
So, we have:
cos(40) = x ÷ 12
Multiply both sides by 12
12 cos(40) = x
12 * 0.7660 = x
x = 9.2
Solving (25)
To solve for x, we make use of sine formula
i.e.
sin(25) = opposite ÷ hypotenuse
So, we have:
sin(25) = 13 ÷ x
Multiply both sides by
x sin(25) = 13
Divide by sin(25)
x = 13 ÷ sin(25)
Using a calculator
x = 30.8
Volume of a cone can be found using the equation 1/3 π r² h (or π r² h / 3)
r = 11
h = 4.5
π ≈ 3.14
(1/3) (3.14) (11²) (4.5) =
(1/3) (3.14) (121) (4.5) =
(1/3) (3.14) (544.5) =
(1/3) (1709.73) = 569.91
569.91 rounded to the nearest tenth is 569.9 so your answer would be 569.9 in³