Answer:
║
[Corresponding Sides of similar triangles are proportional.]
Answer:
1. 15
2. 27
3. 4
4. 72
5. 2
6. 9
7. 1
Step-by-step explanation:
Answer:
There are 6,296 children at the carnival
Step-by-step explanation:
The number of each group of people can be expressed as;
Number of boys (b)+number of adults (a)=7,052
b+a=7,052....equation 1
Number of girls (g)=Number of adults (a)-756
g=a-756....equation 2
But Number of girls (g)=number of boys (b)
Replacing the value of b in equation 1 with that of g in equation 2;
(a-756)+a=7,052
a+a=7,052+756
2 a=7,808
a=7,808/2
a=3,904
Replace the value of a in equation 2 with 3,904
g=3,904-756
g=3,148
But since g=b
g=b=3,148
b=3,148
Total number of children=Total number of boys (b)+total number of girls (g)
Total number of children=b+g
where;
b=3,148
g=3,148
replacing;
Total number of children=(3,148+3,148)=6,296
There are 6,296 children at the carnival
Tan of an angle = perpendicular / base
<span>Here, perpendicular is the side of the triangle opposite the angle. </span>
<span>And base is the arm of the angle other the hypotenuse. </span>
<span>If the side of the triangle to be found (marked as ? in the figure) is x, then </span>
<span>perpendicular = 20 feet </span>
<span>base = x </span>
<span>so, tan 30 = 20/x </span>
<span>so, x = 20/(tan 30 degrees) = 34.64 feet </span>
<span>= 35 feet to the nearest foot</span>
