Answer:
distance = 10.8
Step-by-step explanation:
the distance between 2 points is the Hypotenuse of the right angled triangle of the x and y coordinate differences.
so, Pythagoras is used.
c² = a² + b²
c = the Hypotenuse (the side of the triangle being opposite to the 90 degree angle).
x- difference : -4 - -8 = +4
y- difference : -3 - 7 = -10
c² = +4² + (-10)² = 16 + 100 = 116
c = sqrt(116) = 10.8
Answer:
42 degrees, and 48 degrees
Step-by-step explanation:
set up an equation to find x, the first angle measure
(x+6)+x=90
then simplify:
2x+6=90
2x=84
x=42
So, the first angle measure is 42, now to find the second angle measure, add 6 to 42, and you will get 48.
Answer:
Riley will earn interest of $1706.86 in 15 years. But when the same problem solved for interest compounded annually we get,
c)1663.90
The options does not match with answer
Step-by-step explanation:
Given
principal amount P = $ 1000
rate of interest r = 6.75 % = 6.75/100 =0.0675
time t = 15
compounded semi annually, hence
no. of times interest is compounded, n = 2
We know that the formula for deriving final amount (A) is
A = P
Substituting the known values , we get
A = 1000 x
= $2706.86
Hence the interest earned = A - P
= $2706.86 - $ 1000
= $1706.86
The answer is $1706.86
But when the same problem solved for interest compounded annually we get, n=1 and so
A = 1000 x
= 2663.90
Hence interest earned = $2663.90 - $ 1000
= 1663.90
Answer:
(1,-5)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
Step-by-step explanation:
Lets find out first the Area of the rectangle building
A=50*100=5000 ft^2
we have 2 circles with the radius of 42 ft, r=21ft
Acircle=3.14*(21)^2=1384.74
Area of 2 circles=2*1384.74=2769.48
What is not covered by the rings is
5,000.00-2769.48=2230.52, rounded is 2231
Choice A