Since it's a right triangle, we can use SOH-CAH-TOA. So tan(x) = opposite/adjacent = 5/20
tan(x) = 1/4 = 0.25
x = arc-tan (0.25) = 14.04°
Answer:
f=14 or f=34
Step-by-step explanation:
(x+d)(x+e) =x^2 +fx+33, d, e, f>0
x^2 +xe+dx+de=x^2+fx+33
x^2+(e+d)x+de=x^2 +fx+33 that
e+d=f and d*e=33, d=33/e
e+33/e=f
33=1*33 or 33=3*11
If e=1,d=33 then f=34
If e=3*,d=11, then f=14
Answer:
D
Step-by-step explanation:
first of all, what is mode: it is the highest occuring number in a set of numbers.
now since 12 is supposed to be the mean and it occurs twice but 9 also occurs twice so for 12 to be the mode, we must add one more 12.
therefore the answer is 12
Answer:
4
Step-by-step explanation:
1. if the mass of coffee worth $10 is 'x', then its worth is 10x, and the worth of the mixture is 5(x+20);
2. using the previous item it is possible to write the next equation:
5(x+20)=4*20+10*x; ⇒ x=4.
3. the required mass is 4 pounds.
Answer:
79%
Step-by-step explanation:
To find the median, you need to arrange the numbers in ascending order. Than pick the middle number. If there are two middle numbers then you add them together and then divide by 2.