Answer:
A. x=√53
Step-by-step explanation:
Using Pythagoras theorem
Hypotenuse ²=Base²+Perpendicular²
Hyp²=(2)²+(7)²
Hyp²=4+49
Hyp²=53
Taking square root on both sides
Hyp=√53
Correct principal is $1200.
Answer:
R = 6.736%
Step-by-step explanation:
Formula for simple interest is;
Interest = PRT/100
We are given;
Principal; P = $1200
Time; T = 6 years
Interest; I = $485
Rate; R =?
From, Interest = PRT/100, we have;
485 = 1200 × R × 6/100
Making R the subject gives;
R = 485 × 100/(6 × 1200)
R = 6.736%
Given an endpoint of a segment and a midpoint, the other endpoint can be obtained by manipulation of the midpoint formula. The said formula is shown below:
Let: (a,b) = coordinates of point 1 ; (c,d) = coordinates of point 2; (e,f) = coordinates of the midpoint
Midpoint = ( (a+c)/2 , (b + d)/2 )
From the formula: (a+c)/2 = e ; (b + d)/2 = f
Since we are already given an endpoint and the midpoint, we can solve for the other endpoint using the obtained equations. This is shown below:
(a+c<span>)/2 = e
</span>(3 + c)/2 = 0
c = -3
(b + d<span>)/2 = f
</span>(11 + d)/2 = 0
d = -11
Therefore, the coordinates of the other point is Q(-3,-11)
Y = 1/20x
In this equation, y is equal to one twentieth times x. Using PEMDAS (parentheses, exponents, multiplication and division, addition and subtraction) from left to right, we would first divide 1 by 20 and then multiply it by x. An example of a real world problem is this:
Georgia is throwing a party for her friends. She has a large cake to split among all of the party guests. She has cut the cake into 20 slices for each of the friends who show up. She wants to know how much cake she will give in total to all of her friends.
In this equation, y is equal to the total amount of cake that will be eaten by Georgia's friends at the party. Because the cake is sliced into 20 pieces, each friend will receive 1/20 of the cake. X is equal to the number of friends who show up to the party.
