Answer:
6 and 400
Step-by-step explanation:
Pesky Pests: 100+50a No Bugz: 40+60a After <u>6 </u>additional applications do both companies charge the same. The cost is <u>400</u>. 100+50*6=400 40+60*6=400
Pretend the cost of the hotel is called "x" and the amusement park is "y"
make the equations.
450=3x+2y and 700=5x+3y
since you're solving for amusement park, you basically just solve for y
multiply the first equation by 5 and the second equation by 3.
2250=15x+10y and 2100=15x+9y
these are a system of equations so subtract one from the other to cancel the x values away.
150=y so the answer is that a day trip to the amusement park costs $150
Answer: 76 ft2
Step-by-step explanation:
Perimeter = 2 side length +base length
40 = 2s +12
Solving for s:
40-12 =2s
28 =2s
28/2=s
14ft =side
Since the line which bisects and isosceles triangles is at a right angle to the base we can use the Pythagorean Theorem to find the height (see attachment)
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case 14) and a and b are the other sides. (Base divided by 2 is one side, the other side is the height)
Replacing with the values given:
14^2= 6^2 + x^2
196 = 36 + x^2
196-36 = x^2
160 = x^2
√160 = x
x = 12.64 (height)
Area of an isosceles triangle = 1/2 x base x height
A = 1/2 x 12 x 12.64 = 76 ft2
9514 1404 393
Answer:
(a) plane NOU
Step-by-step explanation:
The points identified on plane <em>L</em> are {M, N, O, U}. All but point U are on the same line.
To identify the plane we need to name 3 non-collinear points. U must be one of them. The other two could by any two from the set {M, N, O}.
One possible name for plane <em>L</em> is plane NOU.
13: 72.25
14: 52
For 14, you need to split the figure into a triangle and rectangle.
