You need to draw the triangle DEF with a right angle at E. Angle D = 40 and DE = 100 m. Once you have marked up your triangle, you can use cosine to find DF.
Answer:
Shorts = 112 and t shirts = 165
Step-by-step explanation:
Let S = shorts
Let T = t shirts
T + S = 277
$2T + $3S = $656
-2(T + S) = 277 so -2T -2S = -544
2T + 3S = 656 so 2T + 3S = 656
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SO: (subtract T's cancel out) 1S = 112
divide by 1 so S = 112
Plug S into the top equation: T + s = 277 T + 112 = 277 so T = 165
From the equation we see that the center of the circle is at (-2,3) and the radius is 9.
So using the distance formula we can see if the distance from the center to the point (8,4) is 9 units from the center of the circle...
d^2=(8--2)^2+(4-3)^2 and d^2=r^2=81 so
81=10^2+1^2
81=101 which is not true...
So the point (8,4) is √101≈10.05 units away from the center, which is greater than the radius of the circle.
Thus the point lies outside or on the exterior of the circle...
Answer:
present value = $16750
Step-by-step explanation:
The simple interest formula allows us to calculate A, which is the final amount. According to this formula, the amount is given by A = P (1 + r*t), where P is the principal, r is the annual interest rate in decimal form, and t is the loan period expressed in years
simple interest formula:
t: time
P: present value
A: amount
r
: anual interest
A = P (1 + r*t)
P = A / (1 + r*t)
P = 19,513.75 / (1 + 3/100 * 5.5)
P = 19,513.75/ (1 + 0.165)
P = 19,513.75 / 1.165
P = 16750
present value = $16750
