Answer: C
f) = 2(x+1) + 2
Step-by-step explanation:
<span>Use the log properties: LogA+logB=log(A*B) and log(A/B)=logA-logB.
ALso NlogA=log(A^N).
So 2log4=log4^2=log 16.
2logx=logx^2. Then we have log16-log3+logx^2-4=0.
Bring the 4 to the other side:
log16-log3+logx^2=4 Combine using the properties into one log:
log(16/3)*x^2=4.
With log, the understood base is 10. log _(10) [ (16/3)*(x^2]=4 where_10 means base 10.
We know log_b M=N means b^N=M by the definition of log. We use that here and change log into an exponential equation:
10^4=(16/3)x^2
10000 *(3/16)=x^2
Taking the square root we have + or- 43.30127.
We only want the positive solution since we can only take the log of positive numbers.
Our answer rounded is 43.3013.</span>
Answer: .95
Step-by-step explanation: There are 2 quarts and in each quart there are 2 pints. 1 quart would cost $1.90 and half of that which would be a pint is .95.
Answer:
15/16
Step-by-step explanation:
To find the value of Sin A can be found using the sine rule. the rule states that the ratio of the length facing an angle in a triangle to the sine of the angle is constant. As such,
a/Sin A = b/Sin B = c/Sin C
Where is a is the side facing angle A, b is the side facing angle B and c is the side facing angle C.
Hence,
8/(3/4) = 10/Sin A
Sin A = 3 * 10 / (8 * 4)
= 30/32
= 15/16
Total Area
= Area of semicircle (radius 6/2=3) + Area of rectangle (sides 6 and 10)
= 2 x Pi* (3)^2 + (10 x 6)
= 116.55