Answer:
6 sides of the hexagon * one side length of 3 inches = 18
Step-by-step explanation:
Answer:
The Alans's average for the course is 84.5
Step-by-step explanation:
We are given
There are 4 tests, A Term paper and a Final examination.
Score = 92, 78, 82, 90.
Term paper score = 80
Final examination score = 86
Weighted mean = ∑ w.f/∑w
also the sum of all the weights is 100% = 1
weighted mean = 15%*92 + 15%*78+15%*82+15%*90+20%*80+20%*86/1
= 51.3 + 33.2
= 84.5
Therefore the Alans's average for the course is 84.5
In a triangle the sum of two sides is always greater than the third side.
If one side = 8 in and other two sides are equal to a positive whole number, then the smallest possible sum of the other two sides = 9 in ⇒
<span>Smallest possible perimeter = 8 + 9 = 17 in</span>
The greatest angle in the given triangle is 104 degrees.
<h3>
What is a triangle?</h3>
- The polygon with 3 sides, three vertices, and three angles is known as a triangle.
- A triangle's overall number of degrees is always 180 degrees.
Given:
- Let, the second angle has a measurement of x degrees.
- The first angle's measurement is 24 degrees greater than the second angle's measurement.
- As a result, the first angle is (24+x) degrees.
- The third angle is four times as large as the second.
- As a result, the third angle has a measure of 4x.
So,
- (24 + x) + x + 4x = 180
- 6x = 124 - 48
- 6x = 156
- x = 156/6
- x = 26
As a result, the second angle has a measurement of 26 degrees.
The first angle's measurement is now 24 degrees greater than the second angle's measurement.
Now,
As a result, the first angle has a measure of 50 degrees.
The third angle is now four times the size of the second angle.
So,
Therefore, the greatest angle in the given triangle is 104 degrees.
Know more about triangles here:
brainly.com/question/17335144
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The first solution contributes 0.78*1 = 0.78 L of acid.
The second contributes 0.64*6 = 3.84 L of acid.
There will be 7 L total of the new solution, and 3.84 + 0.78 = 4.62 total L of acid in it. So the new solution has a concentration of 4.62/7 = 0.66, or about 66%.
