Answer:
1300 kids attended the circus
Step-by-step explanation:
Using one variable, we can set up an equation to solve for the amount of kids that attended the circus. Using 'x' for the amount of adult tickets, we can use '2x' for the amount of children's tickets since the problem says there were 'twice as many kids than adults'. With the ticket prices and total sales:
6x + 2.5(2x) = 7150 (distribute) 6x + 5x = 7150
Combine like terms: 11x = 7150
Divide by 11: 11x/11 = 7150/11 or x = 650
Since 650 represents the amount of adult tickets, 2x is the amount of children's tickets: 2(650) = 1300 childrens tickets
Answer:
Y-1=4/5(x-(-2))
Step-by-step explanation:
Point slope form is written as y-y1=M(x-X1)
M is the slope
so replace the variables for the given value
Y-1=4/5(x-(-2))
100 USD *(* means times) the current exchange rate which is <span>110.39 right now.</span>
Answer: d
Step-by-step explanation:
Note that the distance to the tower and the height of the tower create a right triangle at the base of the tower. The equation to find the height of a right triangle is to multiply the length times the tangent of angle β.
Given:
b = a · tanβ
tan(30°) = √3/3
Step 1: Solve
b = (30/1) · (√3/3)
b = (30 · √3) / (1 · 3)
b = (30√3) / (3)
b = 10√3
Answer:
10.92
Step-by-step explanation:
1. Find all side lengths of this tetrahedron.
A to B is 2 units
A to C is 2 units
A to D is 2 units
B to C is square root of 8
B to D is square root of 8
C to D is square root of 8
See 3D distance formula attached below to get the answers above.
2. Find the area of the triangles
Triangle ACD can be calculated using Heron’s formula, which is also attached below.
Area of Triangle ACD is 2 units squared.
Area of Triangle ABD is congruent to the previous one so it is also 2 units squared.
Area of Triangle CBD is roughly 3.46 units squared.
Area of Triangle ABC is congruent to Triangle CBD so it is also 3.46 units squared.
Adding them altogether is 2 + 2 + 3.46 + 3.46 = 10.92