Answer:
x ≈ 12.6 m
Step-by-step explanation:
By using cosine ratio in the given right triangle RTS,
cos(S)° = 
cos(33)° = 
cos(33)° = 
x = 15.cos(33)°
x = 12.58
x ≈ 12.6 m
Therefore, measure of side ST = 12.6 m is the answer.
Answer: 5
Step-by-step explanation:
If the sides of A is (8,4) and the coordinates of D is (8-1), the same value in both coordinates are 8 and the different values are 4 (A) and -1 (D). We will take the absolute values (AV) of both when added: |4 + -1|.
The answer will be<u><em> 5 grids</em></u> (or whatever measurements the question uses).
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Answer:
After 11 weeks, Darnell′s savings account will have a total of $8,360.
Step-by-step explanation:
The data provided is as follows:
n: 1 2 3 4
f (n): 260 360 460 560
Consider the data for f (n).
The series f (n) follows an arithmetic sequence with a common difference of 100 and first term as 260.
The nth term of an arithmetic sequence is:
![a_{n}=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=a_%7Bn%7D%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Compute the value of f (11) as follows:
![f(11)=\frac{11}{2}[(2\times260)+(11-1)\times 100]](https://tex.z-dn.net/?f=f%2811%29%3D%5Cfrac%7B11%7D%7B2%7D%5B%282%5Ctimes260%29%2B%2811-1%29%5Ctimes%20100%5D)
![=5.5\times[520+1000]\\\\=5.5\times 1520\\\\=8360](https://tex.z-dn.net/?f=%3D5.5%5Ctimes%5B520%2B1000%5D%5C%5C%5C%5C%3D5.5%5Ctimes%201520%5C%5C%5C%5C%3D8360)
Thus, after 11 weeks, Darnell′s savings account will have a total of $8,360.
Answer:
2.25π square inches [or 7.07 sq. in. rounded to 2 decimal places]
Step-by-step explanation:
The largest circle inscribed in a square would have DIAMETER EQUAL TO THE SIDE LENGTH OF THE SQUARE.
Since diameter is double of radius, we can find the radius to be:
diameter = 3 [side length of square]
radius = 3/2 = 1.5 inches
The area of a circle is πr^2
THus, the largest circle area = πr^2 = π(1.5)^2 = π(2.25) = 2.25π square inches