<u><em>Answer:</em></u>
The bird is approximately 9 ft high up in the tree
<u><em>Explanation:</em></u>
The required diagram is shown in the attached image
Note that the tree, the cat and the ground form a right-angled triangle
<u>Therefore, we can apply special trigonometric functions</u>
<u>These functions are as follows:</u>
![sin(\alpha)=\frac{opposite}{hypotenuse} \\ \\ cos(\alpha)=\frac{adjacent}{hypotenuse} \\ \\tan(\alpha)=\frac{opposite}{adjacent}](https://tex.z-dn.net/?f=sin%28%5Calpha%29%3D%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D%20%5C%5C%20%5C%5C%20cos%28%5Calpha%29%3D%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D%20%5C%5C%20%5C%5Ctan%28%5Calpha%29%3D%5Cfrac%7Bopposite%7D%7Badjacent%7D)
<u>Now, taking a look at our diagram, we can note the following:</u>
α = 25°
The opposite side is the required height (x)
The adjacent side is the distance between the cat and the tree = 20 ft
Therefore, we can use the <u>tan function</u>
<u>This is done as follows:</u>
which is 9 ft approximated to the nearest ft
Hope this helps :)
p = number of items sold (note: this is not the profit)
1 item sells for $855, so p items sell for 855p dollars
Subtract off the cost of 6780 and we have the expression 855p-6780 which is the profit for that given month.
Now plug in p = 250 because 250 items were sold in that given month
855*p - 6780 = 855*250 - 6780 = 206,970
The company earns $206,970 in profit for that month. Apply 15% to this value
15% of 206,970 = (15/100)*206,970 = 0.15*206,970 = 31,045.50
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Answer: $31,045.50 which is choice C
Find the common denominator first--> 10
1/2= ?/10 ?=5
so 5/10 +9/10 (Now you just add the numerators and keep the common denominator the same)
14/10 and if you want to simplify it, simply divide both the top and bottom by 2
answer = 7/5
Answer:
26 units.
Step-by-step explanation:
AB + BC + AC = AC + AD + DC + 4
AC is common so
AB + BC = AD + DC + 4
AB + BC - AD - DC = 4
Substituting the given values
AB + 7 - 5 - 6 = 4
AB = 4 - 7 + 5 + 6 = 8
So the perimeter of ABCD
= AB + BC + AD + CD
= 8 + 7 + 5 + 6
= 26.
Answer:
c = 5 and t = 20
Step-by-step explanation:
t = 2c + 10, t = 4c
so
2c + 10 = 4c
-2c = -10
c = 5
t = 4(5)
t = 20