Answer:
Number of child tickets = 9
Number of adult tickets = 36
Number of senior tickets = 27
Step-by-step explanation:
Given:
The ratio of adult tickets to child tickets = 4:1
Ratio of adult tickets to senior tickets = 4:3
Number of total tickets = 72
Find:
The number of each ticket.
Computation:
Ratio between Adult to senior to child = 4:3:1
So,
Number of child tickets = [1 / (4+3+1)]Total tickets
Number of child tickets = [1 / (8)]72
Number of child tickets = 9
Number of adult tickets = [4 / (4+3+1)]Total tickets
Number of adult tickets = 36
Number of senior tickets = [3 / (4+3+1)]Total tickets
Number of senior tickets = 27
Answer:
Below in bold.
Step-by-step explanation:
Area = altitude * base
3. 6.2 * 6
= 37.2 cm^2.
4. 0.12 * 0.24
= 0.0288 m^2.
5. 32 * 0.4
= 12.8 m^2.
From the diagram above,
XZ = 10 in and OX = 10 in
we are to find length of OY
XZ is a chord and line OY divides the chord into equal length
Hence, ZY=YX= 5 in
Now we solve the traingle OXY
To find OY we solve using pythagoras theorem
applying values from the triangle above
![\begin{gathered} OX^2=XY^2+OY^2 \\ 10^2=5^2+OY^2 \\ 100=25+OY^2 \\ OY^2\text{ = 100 -25} \\ OY^2\text{ = 75} \\ OY\text{ = }\sqrt[]{75} \\ OY\text{ = }\sqrt[]{25\text{ }\times\text{ 3}} \\ OY\text{ = 5}\sqrt[]{3\text{ }}in \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20OX%5E2%3DXY%5E2%2BOY%5E2%20%5C%5C%2010%5E2%3D5%5E2%2BOY%5E2%20%5C%5C%20100%3D25%2BOY%5E2%20%5C%5C%20OY%5E2%5Ctext%7B%20%3D%20100%20-25%7D%20%5C%5C%20OY%5E2%5Ctext%7B%20%3D%2075%7D%20%5C%5C%20OY%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B75%7D%20%5C%5C%20OY%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B25%5Ctext%7B%20%7D%5Ctimes%5Ctext%7B%203%7D%7D%20%5C%5C%20OY%5Ctext%7B%20%3D%205%7D%5Csqrt%5B%5D%7B3%5Ctext%7B%20%7D%7Din%20%5Cend%7Bgathered%7D)
Therefore,
Length of OY =
![5\sqrt[]{3}](https://tex.z-dn.net/?f=5%5Csqrt%5B%5D%7B3%7D)
Answer:
-4
Step-by-step explanation:
8-10 = -2
-2^2 = -4
