Answer:
It can be calculated by finding the difference between the two angles. Half of this difference will be the angle that is required.
Therefore
236 - 124 = 112
Tanget-tanget angle = 112 / 2 = 56 degrees
Answer:
Therefore, the possible lengths (in whole inches) for the third side is
9 inches < x < 45 inches
Step-by-step explanation:
For the above question, we have a rule, the sum of the length of any two sides of the triangle must be greater than the length of the third side.
Hence:
She has two sides of length 18 inches and 27 inches
Let the third side = x
Hence:
a) 18 + 27 > x
45 > x
b) 18 + x > 27
x > 27 - 18
x > 9
Therefore, the possible lengths (in whole inches) for the third side is
9 inches < x < 45 inches
We know that it costs $68 for 16 square feet of flooring. To find out how much it costs for 12, we first have to find out how much it costs for 1 square foot.
To find that, we would do $68 divided by 16, which is 4.25.
That means 1 square foot costs $4.25.
Then, we would multiply $4.25 by 12 to find how much 12 square feet costs.
$4.25 times 12 is 51.
So, it would cost $51 to have 12 square feet of flooring.
1x + 4y = 11 ⇒ 5x + 20y = 55
5x - 7y = -10 ⇒ <u>5x - 7y = -10</u>
<u>27y</u> = <u>65</u>
27 27
y = 2¹¹/₂₇
x + 4(2¹¹/₂₇) = 11
x + 8²²/₂₇ = 11
<u> - 8²²/₂₇ - 8²²/₂₇
</u> x = 2⁵/₂₇
(x, y) = (2⁵/₂₇, 2¹¹/₂₇)