<em>If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up (+1).</em>
<em>If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down (no change).</em>
<span>3184.5641</span> ≈ <span><em>3184.56</em></span>
By utilizing the law of the sines and Heron's formula, we find that the <em>approximate</em> area of the triangle is approximately 73.1 square centimeters. (Correct choice: A)
<h3>How to calculate the area of a triangle by Heron's formula</h3>
Prior to using Heron's formula, we must find the lengths of the missing sides by law of the sines:
A = 180° - 95° - 35°
A = 50°

b ≈ 10.483 cm

c ≈ 18.206 cm
Now, we proceed to calculate the area of the triangle:
s = 0.5 · (14 cm + 10.483 cm + 18.206 cm)
s = 21.345 cm

A ≈ 73.113 cm²
By utilizing the law of the sines and Heron's formula, we find that the <em>approximate</em> area of the triangle is approximately 73.1 square centimeters. (Correct choice: A)
To learn more on triangles: brainly.com/question/2773823
#SPJ1
Required number is
and required expression is n – 10 = 6n + 3
<h3><u>Solution:</u></h3>
Given that
Ten less than a number is three more than six times the number.
Number is represented by variable "n"
Need to determine equation and the number.
Ten less than number means subtracting 10 from the number
As number is n so ten less than number = n – 10 ------(1)
Six times the number = number multiplied by 6 = 6n
So three more than Six times the number = 6n + 3 --------(2)
As ten less than number is equal to 3 more than six times the number
=> n – 10 = 6n + 3
Solving the above expression for n we get
-10-3 = 6n – n
=> 5n = -13

Hence required number is
and required expression is n – 10 = 6n + 3
Given:
Funnel is in the shape of a cone.
Radius = 4 inches
Height = 10 inches
To find:
a) The volume of the funnel
b) How many quarts of oil are in the funnel.
Solution:
Volume of cone:


in³
The volume of the funnel is 167.47 in³.
1 qt ≈ 58 in³
To convert cubic inch to quarts divide by 58.

= 2.9 quarts
Therefore 2.9 quarts of oil are in the funnel.