Please refer the attached figure for better understanding of the solution
Here we are given that the angle of depression is 40°
And the height of the boat from the water is 25.17 ft
we need to find the length of the rope used which we can take as x
We can see that sin is the ratio that corresponds to the opposite side and the hypotenuse sides of the triangle formed
so we have
sin 40° = ![\frac{25.17}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B25.17%7D%7Bx%7D)
![x=\frac{25.17}{sin 40}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B25.17%7D%7Bsin%2040%7D)
![x=\frac{25.17}{0.6427}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B25.17%7D%7B0.6427%7D)
![x= 39.16](https://tex.z-dn.net/?f=x%3D%2039.16)
Hence the length of the rope needed is 39.16 ft
x=12 and y=18 satisfies both the equalities.
Step-by-step explanation:
Given equations are;
x/y = 2/3 Eqn 1
y/24 = 3/4 Eqn 2
Multplying by 24 on both sides of Eqn 2
![24*\frac{y}{24}=\frac{3}{4}*24\\\frac{24y}{24}=\frac{72}{4}\\y=18](https://tex.z-dn.net/?f=24%2A%5Cfrac%7By%7D%7B24%7D%3D%5Cfrac%7B3%7D%7B4%7D%2A24%5C%5C%5Cfrac%7B24y%7D%7B24%7D%3D%5Cfrac%7B72%7D%7B4%7D%5C%5Cy%3D18)
Putting y=18 in Eqn 1;
![\frac{x}{18}=\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B18%7D%3D%5Cfrac%7B2%7D%7B3%7D)
Multiplying both sides by 18
![18*\frac{x}{18}=\frac{2}{3}*18\\\frac{18x}{18}=\frac{36}{3}\\x=12](https://tex.z-dn.net/?f=18%2A%5Cfrac%7Bx%7D%7B18%7D%3D%5Cfrac%7B2%7D%7B3%7D%2A18%5C%5C%5Cfrac%7B18x%7D%7B18%7D%3D%5Cfrac%7B36%7D%7B3%7D%5C%5Cx%3D12)
Putting both values in Eqn 1
![\frac{12}{18}=\frac{2}{3}\\](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B18%7D%3D%5Cfrac%7B2%7D%7B3%7D%5C%5C)
As 12 and 18 are multiples of 6;
![\frac{2}{3}=\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%3D%5Cfrac%7B2%7D%7B3%7D)
x=12 and y=18 satisfies both the equalities.
Keywords: fraction, division
Learn more about fractions at:
#LearnwithBrainly
The orientation of the solid is odd, but here is what I see.
24+24+39+52+65= 204 units^2
Answer:
5/6
Step-by-step explanation:
1/2 + 1/3 need a common denominator to add them up.
1/2 is the same as 3/6.
1/3 is the sane as 2/6.
3/6 + 2/6
Add the tops, but keep the same denominator.
3/6 + 2/6 = 5/6
5/6 cannot be simplified, so that's the answer. That's how you do it! Hope this helps!
yes if you multiply 3/4 and 8/1 you will get 24/4 which equals 6 meaning she needs 6 cups of warm water for 8 batches of paint
Step-by-step explanation: