Answer:
triangular prism
Step-by-step explanation:
Shape 1 attached is a triangular prism it has the same name and same net but is not identical as its slightly longer. The top side has 5 edges and its base has 4 edges
Has the same Faces: 5
Has the same Edges: 9
Has the same Vertices: 6
Shape 2 attached, is called a square based pyramid
It differs as its top side has 4 edges and its base has 4 edges where the base is the only common side and slope as the other one.
Faces: 5
Edges: 8
Vertices: 5
For the answer to the question above, this is a right triangle problem using the tangent function.
<span>Tan(x) = Opposite (O) / Adjacent (A) </span>
<span>x = 40 degrees </span>
<span>A = 30 ft </span>
<span>Solve for O </span>
<span>O= Tan (x) * A </span>
<span>O = Tan (40) * 30 </span>
<span>Use your calculator or whatever method to get the tangent of 40 degrees (which is .84) </span>
<span>O = .84 * 30 </span>
<span>O = 25.2 Ft</span>
Answer:
It would be 10 months for the price of $320.
Step-by-step explanation:
First we need to find how much Anna's swimming charge and Bobie's charge is.
PA=70+t The price of the month equals to the starting fee and monthly charge
120=70+2t The price of 2 months times the monthly charge
50=2t
25=t is Anna's monthly charge
PB=250+t is Bobies starting price and monthly charge
264=250+2t is the month charge for Bobie after 2 months
14=2t
7=t is Bobie's monthly charge
70+25x=250+7x We need to find x which is what month will satisfy both equations
25x=180+7x Subtract 70 from both sides
18x=180 Subtract 7x from both sides
x=10 divide 18 from both sides
Now we have the months that satisfy both equations we need to find the total price that matches with it. So we plug it back into both equations.
PA=70+25x PB=250+7x
PA=70+25(10) PB=250+7(10)
PA=70+250 PB=250+70
PA=320 PB=320
Answer: Team one = 1/5
Team 2 = 4/21
Team A is the fastest
Step-by-step explanation: Answer: Team one = 1/5
Team 2 = 4/21
Team A is the fastest
Step-by-step explanation: TEAM A
Tammy working alone in 1hr can clean 1/2
Melissa working alone in 1 hr can clean 1/3
working together in 1hr ,let x represent the area they will clean we have
+ 
= 1/x
⇒ 3 + 2 = 1/x
5 = 1/x
x = 1/5
TEAM B
Santay working alone can clean 1/4
Leticia working alone in 1 hr can clean 4/5
working together in 1 hr ,let y represent the amount they clean, we have
+ 
= 1/y
4 + 5/4 = 1/y
21/4 = 1/y
y = 4 /21
comparing x and y , 1/5 is greater than 4/21 , therefore Team A is faster
