In order to find the missing number use the Pythagorean theorem which is used to find a missing length of a right triangle. The formula is a 2 + b 2 = c 2, where a and b are the legs of the triangle, and c is the hypotenuse. So the answer would be 22squared plus 27squared which will equal....
Answer:
-10
Step-by-step explanation:
30m - 22m =80 therefore m is equal to -10
Answer: Time t = 33.0 seconds
Step-by-step explanation:
Given that the vertical distance H between the dock and the top of the boat's mast t seconds after its first peak is modeled by the function
H(t) = 5cos( 2π/3 t) − 35.5H
Where the maximum vertical distance = 5
At the down position, H(t) = 0
5cos( 2π/3 t) − (35.5/100)H = 0
5cos( 2π/3 t) − 0.355 × 5 =0
5cos( 2π/3 t) − 0.1775 = 0
5cos( 2π/3 t) = 0.1775
cos( 2π/3 t) = 0.1775/5
cos( 2π/3 t) = 0.355
2π/3 t = cos^-1 (0.355)
2π/3 t = 69.2
2πt = 69.2 × 3
2πt = 207.6
t = 207.6/2π
t = 33.0 seconds
If the perimeter is 13y-5, then it should be equal to all of these sides added together. So, let’s add all of the sides we already know up:
5y-4 + y + 3y+1 = 9y-3.
Now set this equal to the perimeter we already know:
9y-3 = 13y-5. Subtract 9y from both sides.
-3 = 4y-5. Add 3 to both sides.
4y-2.
Now we have the value of 4y-2. Since we know that the last two sides are completely the same, then we can divide this expression by 2.
Therefore, the remaining side is 2y-1.
Annual Social Security benefit = 0.42 x $37,991 = $15,956.22
Annual bills = $1,755 x 12 = $21,060
Outstanding annual bill to be settled after using the Social Security benefit = $21,060 - $15,956.22 = $5,103.78
Monthly supplementary money needed = $5,103.78/12 = $425.32
