The answer is 365 don’t listen to me
Answer: Yes. Dominic is correct
Step-by-step explanation:
We are informed that Two fifth of the students wrote a report. This also means that (2/5 × 100) = 40% = 0.4 wrote a report and 0.6 of the students gave a presentation.
From the decimals gotten, we can see that 0.6 is more than 0.4. Therefore, more students gave a presentation. This implies that Dominic is correct.
These problems are solved using the trigonometric function. Trigonometric functions provides the ratio of different sides of a right-angle triangle.
<h3>What are Trigonometric functions?</h3>
The trigonometric function refer to function that are periodic in nature and which lend insight to the relationship between angles and the sides of a triangle that is right angled.
The solutions to x in the respective problems is given as follows:
1st.) x = 5 /Sin(30°)
x = 10
!) sin(45°) = 4/x
x = 4/sin(45°)
x = 4√2
I) Cos(45°) = √3 / x
x = √3 / Cos(45°)
x = √6
E) Tan(60°)
= (3√3) / x
x = (3√3) / 3
W) It is to be noted that for right-triangle that is isosceles in nature, the angle made by the legs and the hypotenuse is always 45°.
x = 45°
N) x² + x² = (7√2)²
x = 7
V) Tan(60°) = 7 / x
x = 7√3/3
K) x² + x² = (9)²
x = 9/√2
Y) Sin(60°) = 7√3/x
x = 14
M) Sin(30°) = x/11
x = 11/2
T) Sin(45°) = x/√10
x = √5
A) x + 2x + 90° = 180°
x = 30°
O) Sin(45°) = √2 / x
x = 2
R) Tan(30°) = x / 4
x = 4/√3
= 4√3 / 3
S) Sin(60°) = x / (10/3)
x = (5√3) / 3
Learn more about Trigonometric functions at:
brainly.com/question/1143565
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ANSWER
Paul and Matt will take
![9.9 \: \: hours](https://tex.z-dn.net/?f=9.9%20%5C%3A%20%5C%3A%20hours)
to install the floor working together.
EXPLANATION
First, calculate Paul's rate, which is
![= \frac{1}{18}](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7B1%7D%7B18%7D%20)
Next, calculate Matt's rate, which is,
![= \frac{1}{22}](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7B1%7D%7B22%7D%20)
Let us assume that, Paul and Matt took
![x \: hours](https://tex.z-dn.net/?f=x%20%5C%3A%20hours)
to do the work together.
Then, the rate of working together is,
![= \frac{1}{x}](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7B1%7D%7Bx%7D%20)
Now, add the individual rates and equate to the rate of working together to form an equation that will help us solve for x.
![\frac{1}{18} + \frac{1}{22} = \frac{1}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B18%7D%20%2B%20%5Cfrac%7B1%7D%7B22%7D%20%3D%20%5Cfrac%7B1%7D%7Bx%7D%20)
Simplify the left hand side
![\frac{11 + 9}{198} = \frac{1}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B11%20%2B%209%7D%7B198%7D%20%3D%20%5Cfrac%7B1%7D%7Bx%7D%20)
![\frac{20}{198} = \frac{1}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B20%7D%7B198%7D%20%3D%20%5Cfrac%7B1%7D%7Bx%7D%20)
We reciprocate both sides to get (You could have also done cross multiplication).
![\frac{198}{20} = \frac{x}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B198%7D%7B20%7D%20%3D%20%5Cfrac%7Bx%7D%7B1%7D%20)