Answer:
<h2>The required percentage is 65.45%.</h2>
Step-by-step explanation:
The total costing is ![1000 \times 1.10 = 1100](https://tex.z-dn.net/?f=1000%20%5Ctimes%201.10%20%3D%201100)
35% were given to the charity, hence 350 were given to the charity.
There are (1000 - 350) = 650 lapel pins remaining.
60% of 650 =
werre sold for 3.00 each. Hence, earning from here is
.
40% of 650 = 260 were sold at 5.00 for 2. It can also be said that
were sold at 5.00 each. Earning from this section is ![130 \times5 = 650](https://tex.z-dn.net/?f=130%20%5Ctimes5%20%3D%20650)
Total earning is (1170 + 650) = 1820.
Profit percentage = ![\frac{1820 - 1100}{1100} \times100 = \frac{720}{11} = 65.45](https://tex.z-dn.net/?f=%5Cfrac%7B1820%20-%201100%7D%7B1100%7D%20%5Ctimes100%20%3D%20%5Cfrac%7B720%7D%7B11%7D%20%3D%2065.45)
Answer:
The tree is 12 feet tall
Step-by-step explanation:
Let a represent the length of where the bird was sitting to the oak tree
let b represent the height of the tree
let c represent the length at which the bird flew
by pythagoras theorem
c²=a²+b²
b²=c²-a²
![b = \sqrt{ {c}^{2} - {a}^{2} }](https://tex.z-dn.net/?f=b%20%3D%20%20%5Csqrt%7B%20%7Bc%7D%5E%7B2%7D%20-%20%20%7Ba%7D%5E%7B2%7D%20%20%7D%20)
subtitute in the values
![b = \sqrt{ {15}^{2} - {9}^{2} }](https://tex.z-dn.net/?f=b%20%3D%20%20%5Csqrt%7B%20%7B15%7D%5E%7B2%7D%20-%20%20%7B9%7D%5E%7B2%7D%20%20%7D%20)
![b = \sqrt{225 - 81}](https://tex.z-dn.net/?f=b%20%3D%20%20%5Csqrt%7B225%20-%2081%7D%20%20)
![b = \sqrt{144}](https://tex.z-dn.net/?f=b%20%3D%20%20%5Csqrt%7B144%7D%20)
![b = 12](https://tex.z-dn.net/?f=b%20%3D%2012)
Answer:
2 or ii
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
These angles are actually equal to each other
This is because when two lines intersect, the two opposite angles are the same.
Since they are the same, you can set them equal to each other
Like so:
6x - 7 = 4x - 1
Then solve:
6x - 7 = 4x - 1
6x = 4x +6
2x = 6
x = 3
Some triangles can have a right angle, but not all triangles are right angles. If a triangle has a right angle, it has one angle of 90°. Triangles have a total of 180°.
Hope this helps! :)