Answer:
The last one 
.
Step-by-step explanation:
1) There are three trigonometric ratios for right-angled triangles.
In a right triangle, the hypotenuse, h, is the side opposite the right angle. Relative to the acute angle θ, check the attachment, the legs are called the opposite side, o, and the adjacent side a.
2) In this case, we are given a length and an angle to find x and y.
Let's find x first. To find x we need to use 
.
Find y.
Notice that, we can use the Pythagorean Theorem 
to find y.
3) Round them off to the nearest tenth.
Therefore, the correct choice is the last one .
5^23 - 5^21 = 5^(21+2) - 5^21
5^23 - 5^21 = 5^21*5^2 - 5^21*1
5^23 - 5^21 = 5^21*(5^2 - 1)
5^23 - 5^21 = 5^21*(25 - 1)
5^23 - 5^21 = 5^21*24
5^23 - 5^21 = 24*5^21
5^23 - 5^21 = 24*k
The original number is in the form 24k where k = 5^21, so this proves that the original number is a multiple of 24
Answer:
A person who has height less than 5.2521 m can walk under the rope without hitting his/her head.
Step-by-step explanation:
Radius of earth = R
Length of rope around Earth = Circumference of Earth = 2πR
Now add 33 m to the length of the rope that means to increase the circumference
C = 2πR+33
Now,
C = 2πR'
⇒2πR' = 2πR+33
In order to find the height we need to find difference of the radii
⇒2πR'-2πR = 33
So, a person who has height less than 5.2521 m can walk under the rope without hitting his/her head.
If we make the days and ounces be in the ordered pair, the points are: (2, 39), (4, 33), (6, 27), and (8, 21). We may use linear regression from the calculator using the equation,
y = Ax + B
where A is the slope. The value of A from the linear regression is equal to -3.
