Answer: 268
Step-by-step explanation:
From the question, we are informed that 67 out of 206 species of birds found in the Badlands nest there and that 824 species were found in the Badlands. The number of those that nest there would be:
= 67 × 824/206
= 67 × 4
= 268
Answer: X = 30*
All circles = 360*
we can subtract 260 from that because we know the length of one so we know the other is 130.
We are then left with only 100 and we know the two sides are equivalent so 100 / 2 = 50
Answer:
Part 1)
Bob's mistake was to have used the cosine instead of the sine
The measure of the missing angle is 
Part 2) The surface area of the pyramid is 
Step-by-step explanation:
Part 1)
Let
x----> the missing angle
we know that
In the right triangle o the figure
The sine of angle x is equal to divide the opposite side angle x to the hypotenuse of the right triangle


Bob's mistake was to have used the cosine instead of the sine
Part 2) we know that
The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces
so
![SA=b^{2}+4[\frac{1}{2}(b)(h)]](https://tex.z-dn.net/?f=SA%3Db%5E%7B2%7D%2B4%5B%5Cfrac%7B1%7D%7B2%7D%28b%29%28h%29%5D)
where
b is the length side of the square
h is the height of the triangular lateral face
In this problem
-------> by an 45° angle
so



Find the value of b

Find the surface area
![SA=12^{2}+4[\frac{1}{2}(12)(6)]=288\ cm^{2}](https://tex.z-dn.net/?f=SA%3D12%5E%7B2%7D%2B4%5B%5Cfrac%7B1%7D%7B2%7D%2812%29%286%29%5D%3D288%5C%20cm%5E%7B2%7D)
Answer:
11
Step-by-step explanation:
Area = LW
We know that the w = 2
We are told that the L (length) is three less than an unknown number so that mean L = (x - 3)
We are then told that the area = 22 square inches.
Area = LW
22 = (x - 3)2
Now solve for x
22 = (x - 3)2
Distribute the 2
22 = 2x - 6
22 + 6 = 2x
28 = 2x
28 / 2 = 2x / 2
14 = x
x = 14
Now take 14 and subtract 3
14 - 3 = 11
Unknown number = 11
Area = LW
L = 11
W = 2
Area = 22
11 * 2 = 22
Simple interest
you can charge it monthly or yearly
find 4% and multiply by how many months or years
4% of 900=
0.04 times 900=36
that is each time the interst is added
if it is monthly, (6months so ) 6 times 36=216
if it is yearly (6months=1/2year so )6 times 1/2=3
if it is taken monthly, then Sam earns $216
if it is taken yearly, then Sam earns $3