Triangle Inequality Theorem is used to find the inequality for a triangle when it only gives you two sides
<em><u>Solution:</u></em>
We can find the inequality for a triangle when it only gives you two sides by Triangle Inequality Theorem
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
This rule must be satisfied for all 3 conditions of the sides.
Consider a triangle ABC,
Let, AB, BC, AC be the length of sides of triangle, then we can say,
Acoording to Triangle Inequality Theorem,
sum of any 2 sides > third side
BC + AB > AC
AC + BC > AB
AB + AC > BC
For example,
When two sides, AB = 7 cm and BC = 6 cm is given
we have to find the third side AC = ?
Then by theorem,
Let AC be the third side
AB + BC > AC
7 + 6 > AC
Thus the inequality is found when only two sides are given
Answer:
sqrt(1 - 36/49) = +root(13)/7
Step-by-step explanation:
sin^2t + cos^2t is identical to 1 for all t.
(6/7)^2 + cos^2t = 1
1 - 36/49 = cos^2t
hence plus/miuns sqrt(1 - 36/49) = cos(t)
since t is acute, the answer must be positive.
Answer:
x= ?
Step-by-step explanation:
Answer:
<u>The correct answer is x = 5 2/3 - 7 2y/3</u>
Step-by-step explanation:
1. Let's solve the equation for x
3x + 23y = 17
3x = 17 - 23y (Subtracting 23y at both sides)
3x/3 = 17/3 - 23y/3 (Dividing by 3 at both sides)
x = 17/3 - 23y/3
2. Proof of 17/3 - 23y/3 as the value of x
3x + 23y = 17
3(17/3 - 23y/3) + 23y = 17 (Multiplying the values inside the parenthesis)
17 - 23y + 23y = 17
<u>17 = 17</u>
<u>It has been proved that x = 17/3 - 23y/3</u>
<u>3. </u>However we can simplify
17/3 - 23y/3
<u>5 2/3 - 7 2y/3</u>
<u>There isn't a system of equations that will allow us to find y</u>
Let the projected number of work hours be w.
Then the number of hours he actually worked was 1.25w. This represents the number of hours that Bob actually spent on the project.
Another way in which to answer this would be as follows:
Actual work hours = w + h (h hours beyond the projected w work hours).
This w + h is equivalent to 1.25w. This means that h = 0.25w.
