Answer:
27/111
Step-by-step explanation:
add 27+41+14+29 = 111
the number of child ticket over the total number of all the tickets on Saturday and Sunday
Answer:
See explanation
Step-by-step explanation:
Consider triangles ABD and BEC. In these tirangles:
- Angles BCE and ADB are congruent, because angles BCA and BDA areinscribed angles subtended on the same arc AB;
- Angles CBE and DBA are congruent too. Consider two angles DBA and DCA, they are congruent, because they are inscribed angles subtended on the same arc AD. Since AD=CD, angles ACD and DAC are congruent as angles adjacent to the base of isosceles triangle ACD. Angles DAC and CBD are congruent as inscribed angles subtended on the same arc CD. Hence, ∠DBA=∠DCA=∠DAC=∠CBD. Angle CBD is angle CBE too.
So, by AA similarity theorem, tringles DBA and CBE are similar. Similar triangles have proportional corresponding sides, thus
![\dfrac{BD}{BC}=\dfrac{DA}{CE}=\dfrac{AB}{BE}\Rightarrow BE\cdot DA=AB\cdot CE](https://tex.z-dn.net/?f=%5Cdfrac%7BBD%7D%7BBC%7D%3D%5Cdfrac%7BDA%7D%7BCE%7D%3D%5Cdfrac%7BAB%7D%7BBE%7D%5CRightarrow%20BE%5Ccdot%20DA%3DAB%5Ccdot%20CE)
Answer:
Step-by-step explanation:
Remark
I take it you are studying the sine law. If that is so, Then it will be set up as
Formula
x/sin(53) = 7 / sin(44) Multiply both sides by Sin(53)
Solution
Sin(53)x/Sin(53) = 7 sin(53)/Sin(44)
x = 7*Sin(53)/Sin(44)
x = 7 * 0.7986/0.6947
x = 8.0848
Note:
The sine law is always set up by 2 ratios. It consists of the sine of an angle divided by the side opposite = equal to another angle's sine over the side oppose the second angle.
The sine law can also be set up as two ratios side opposite / sin(Angle).
divide 53.32 by 12 which is 4.36$ per package of coffee
Answer: 24.99 ft
Step-by-step explanation:
1. You can find the angle A as following:
![A=arctan(\frac{5}{8})\\A=32\°](https://tex.z-dn.net/?f=A%3Darctan%28%5Cfrac%7B5%7D%7B8%7D%29%5C%5CA%3D32%5C%C2%B0)
2. Now, you can calculate the height of the tree as following:
![tan(A)=\frac{opposite}{adjacent}](https://tex.z-dn.net/?f=tan%28A%29%3D%5Cfrac%7Bopposite%7D%7Badjacent%7D)
Where:
A=32°
opposite=x
adjacent=40
3. When you substitute values and solve for x, you obtain that the height of the tree in feet is:
![tan(A)=\frac{x}{40}\\x=40*tan(32\°)\\x=24.99](https://tex.z-dn.net/?f=tan%28A%29%3D%5Cfrac%7Bx%7D%7B40%7D%5C%5Cx%3D40%2Atan%2832%5C%C2%B0%29%5C%5Cx%3D24.99)