<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>
<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 :)
Answer:
Girl's height: 3 1/3 ft
Giraffes height: 10 ft
Difference between the heights: 6 2/3
Step-by-step explanation:
Ok, so the question is bit vague, so I'm not sure which of the following answers your are looking for, that's for you to put.
We have the girl's height.
We multiply the girl's height by 2 to get the giraffe's height.
We subtract the girls height from the giraffe's height to get the difference.
Step-by-step explanation:
1st
8x-59 + 2x-11 = 180
10x -70 = 180
10x = 180 + 70
10x = 250
x = 25
2nd
8x - 59 = 15y + 6
8(25) -59 = 15y + 6
200 -59 = 15y + 6
141 = 15y + 6
15y + 6 = 141
15y = 141 - 6
15y = 135
y = 135/15
y = 9
Answer:
y= 28/17
x= 57/17
Step-by-step explanation:
5x + 2y = 22
-2x + 6y = 3
(2)(5x + 2y = 22)→ 10x + 4y = 44
(5)(-2x + 6y = 3)→ -10x +30y = 15
Add this last eq → 34y=56 → y= 28/17
Replace this in any equation
-2x + 6(28/17) = 3 → x= - (54/17-168/17)/2 = 57/17
Answer:
Step-by-step explanation:
To solve this, we first need the area of the square, then subtract from it the area of the circle. Since our instructions tell us to round to the nearest hundredth, we will use 3.1415 for pi. First the square:
A = s * s so
A = 15 * 15 and
A = 225; next the circle:
A = 3.1415 * 7.5*7.5 (the area of a circle is pi times the radius squared. The radius is half of the diameter which is 15, so r = 7.5) so
A = 176.709
Subtracting the area of the circle from the area of the square:
225 - 176.709 = 48.29 ft squared.