We have 240/40 = total students/ 100
Total students are in the middle school is: (240 x 100)/ 40 = 600 students
The area of a triangle can be determined as half the product of two sides multiplied by the sine of the angle between them. In this case,
A = (1/2)(AB)(AC)(sin A) = (1/2)(6)(15)(sin 48) = 33.44 square units.
Answer:
E.) 1
Step-by-step explanation:
Firstly we will solve for L.H.S.
L.H.S. =
Since we know that is the inverse of 
.
So we can say that;
Now For R.H.S.
Since we can rewrite 
as 
.
Now we can say that the R.H.S. is;
Now we add the fraction and get;
Now according to trigonometric identity;
So, 
Here,
and = 
<em> </em>
L.H.S. = R.H.S.
Hence 
Answer:
35.5 pounds or less
Step-by-step explanation:
99.7% is a z score of 2.75
(x - 30)/2 = 2.75
x - 30 = 5.5
x = 35.5
Answer:
135ft²
Step-by-step explanation:
Width = w
Length = w + 6
Perimeter = 48
Perimeter = 2(l + w)
Perimeter = 2(w + 6 + w) = 48
2(2w + 6) = 48
4w + 12 = 48
4w = 48 - 12
4w = 36
w = 36/4
width = 9
length = w + 6 = 9 + 6 = 15
Area = length × width
= 15 × 9
= 135 ft²
