3n/2-n/4=7n+4/12
12 (3n/2-n/4=7n+4/12) factored in 12 to both sides to get rid of fractions
12 (3n/2)-12 (n/4)=12 (7n)+12 (4/12) distributive power
36/2n-12/4n=84n+48/12
18n-3n=84n+4 simplified
15n=84n+4
15n-84n=84n-84n+4 addition property
-69n=4
-69/-69n=-4/69 division property
n=-4/69
Solution : n=-4/69
Answer:
123.46 or 42.28
Step-by-step explanation:
Assuming that b is the leg side of a triangle and that c is the hypotenuse, we can solve for c using SOHCAHTOA.
We can find the angle from the equation sin X = 0.3240.
X =
0.3240
X = ...
Through SOHCAHTOA, we know that we should use either sin X =
or that cos X =
.
I'm going to assume that we use sin X =
since we are given a length b and not a length a. So:
sin 18.9050 = 
c =
= 123.46
If we use cos X =
, then:
cos 18.9050 = 
c =
= 42.28
Not sure which one is correct since we are not given a picture of the sides.
Answer:
x=20
Step-by-step explanation:
30°-60°-90°Δ
a=10
b=20
c=10
x=b
x=20
<u>Answer:</u>
The most appropriate answer option is D) The girls are generally taller than the boys.
<u>Step-by-step explanation:</u>
A) The shortest boy is taller than the shortest girl:
The shortest guy is not taller than the girl so its false.
B) The range for the girls is greater than the range for the boys:
Range for girls = 56 - 44 = 12
Range for boys = 54 - 41 = 13
C) There is an outlier in the data for the boys, but not for the girls:
It is present in both.
D) The girls are generally taller than the boys:
Average height of boys =
= 49.05
Average height of girls =
= 50.9
Therefore, the correct answer option is D) The girls are generally taller than the boys.