Answer:
see explanation
Step-by-step explanation:
Using the Cosine rule
a² = b² + c² - 2abcosA ← Rearranging for cosA gives
cosA = 
(a)
let a = 10, b = 7, c = 8 and A = α, then
cosα =
=
=
, thus
α =
(
) ≈ 83° ( to the nearest degree )
(b)
let the angle opposite side 7 be x
Using the Sine rule
=
( cross- multiply )
10sinx = 7sin83 ( divide both sides by 10 )
sinx =
, thus
x =
(
) = 44°
The third angle can be found using the sum of angles in a triangle
third angle = 180° - (83 + 44)° = 180° - 127° = 53°
The 3 angles are 83°, 44°, 53°
Profit percentage for weaver after selling mat is equals to 140%.
<h3>What is percentage ?</h3>
" Percentage is defined as the hundredth part of the whole given quantity. It is represented by symbol %."
Formula used
Profit% =
× 100
According to the question,
Given,
Cost price of bundle of grass = $50.00
Number of mats made = 8
Selling price of each mat = $15.00
Therefore,
Selling price of 8 mats = 15 × 8
= $120
Selling price > Cost price
Therefore,
Profit = Selling price - Cost price
= 120 - 50
= $70
Substitute the value in the formula to get profit percentage we get,
Profit% =
×100
= 140%
Hence, profit percentage for weaver after selling mat is equals to 140%.
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Answer: 31
How: If there are two negative signs like this, you would connect them together and make it into a addition sign where you then can add them.
Answer:
Step-by-step explanation:
Just using pythagorean theorem,
13.2²+16.9²=c²
174.24+285.61=c²
c²=√459.85
c= 21.4441134114
c = 21.4 (nearest tenth)