<u>Given</u>:
The given triangle is a right triangle.
One of the angle of the triangle is 60°
The length of the hypotenuse is 8.
The length of the side opposite to the angle 60° is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;
Substituting 
, 
and 
, we get;
Multiplying both sides by 8, we have;
Thus, the value of x is 
Hence, Option B is the correct answer.
Answer:
-x^2+3x+3; 5
Step-by-step explanation:
polynomial is -x^2+3x+3
when x=2 then -2^2+3*2+3=-4+6+3=5
This problem represents a geometric sequence. Which is always:
a(n)=ar^n where a is the original term, r is the common ratio, and n is the number of terms.
In this case, we wish to know the minimum common ratio which will produce 750000 for the 7th term given that the first term a is you, one :) so we have the equation...
a(n)=r^n using 750000 for a(7) and 7 for n...
750000=r^7 taking the natural log of both sides...
ln(750000)=7(lnr)
lnr=ln(750000)/7
r=e^(ln(750000)/7)
r=6.91 since r must be an integer for this particular problem r=7
So our equation was:
a(7)=7^7=823543
note if we only shared with 6 originally you would fall very short...
a(6)=6^7=279936
Answer:
See explanation.
Step-by-step explanation:
First equation:
- 1/6b + 17/24
- = 1/24 + 17/24
- = 18/24.
Second equation:
- 1/6(1/4) + 17/24 = __ + 17/24 = __
hope this helps.
