Answer:
Equilateral triangle implies each angle is 60 degree.
And any median is the altitude.
So, NT perpendicular LM, where T is the midpoint of [ML];
We use the Pythagorean Theorem in right triangle NTL ( NT = h; NL = a;
LT = a / 2 );
h² = a² - (a/2)² = a² - a²/4 = 4a²/4 - a²/4 = 3a²/4
;
It follows that
h = √(3a²/4) = a√3/2 ≈ 0,866*a;
But, a = 8;
h ≈ 0,866 * 8 ≈ 6,928;
Step-by-step explanation:
Answer:
1.)6=y-5
On transposing y to L.H.S, we obtain
6+5=y
11=y
Step-by-step explanation:
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Answer:
B
Step-by-step explanation:
Assuming the dilatation is centred at the origin, then multiply each of the coordinates by 4 , that is
A (0, 10 ) → A' (4(0), 4(10) ) → A' (0, 40 )
B (8, 6 ) → B' (4(8), 4(6) ) → B' (32, 24 )
C (4, 2 ) → C' (4(4), 4(2) ) → C' (16, 8 )
Answer:
Difference= $3,090.15 in favor of compounded interest
Step-by-step explanation:
Giving the following information:
Present value (PV)= $8,500
Ineterest (i)= 0.025/12= 0.00208
Number of periods (n)= 360 months
<u>We will calculate the future value of each option and determine the difference:</u>
<u>Simple interest:</u>
FV= (PV*i*n) + PV
FV= (8,500*0.00208*360) + 8,500
FV= $14,864.8
<u>Compounded interest:</u>
FV= PV*(1+i)^n
FV= 8,500*(1.00208^360)
FV= $17,958.95
Difference= $3,090.15