Triangles a are similar because they have the same degrees
And Triangles d are similar because they are the same shape
The advantage of the graphing calculator is that you just have to find two independent equations, introduce them in the calculator and it will find the intersection point ot the two graphs.
The equations that you have to introduce are:
1) y = 2.25x + 24
2) y = 2.75x + 23
The algebraic solution, which will give you the same coordinates of the intersection point of the graphs is
2.25x + 24 = 2.75x + 23
2.75x - 2.25x = 24 - 23
0.5x = 1 => x 1 /0.5 = 2.
Answer: 2
The volume of Kuroshio Sea rank is 9450 cubic meters, if the sea tank is 27m long, 35m wide and 10m deep.
Step-by-step explanation:
The given is,
Kuroshio Sea tank is 27m long, 35m wide and 10m deep.
Step:1
Sea tank looks like a rectangular prism,
Formula to calculate the volume of rectangular prism,
.............................(1)
Where, w - Width of the rectangular prism
h - Height or depth of the rectangular prism
l - Length of the rectangular prism
From given,
w = 35 meters
l = 27 meters
h = 10 meters
Equation (1) becomes,
Volume of the sea tank, V = 9450 Cubic meters
Result:
The volume of Kuroshio Sea rank is 9450 cubic meters, if the sea tank is 27m long, 35m wide and 10m deep.
<h3>Given</h3>
A(-3, 1), B(4, 5)
<h3>Find</h3>
coordinates of P on AB such that AP/PB = 5/2
<h3>Solution</h3>
AP/PB = 5/2 . . . . . desired result
2AP = 5PB . . . . . . multiply by 2PB
2(P-A) = 5(B-P) . . . meaning of the above
2P -2A = 5B -5P . . eliminate parentheses
7P = 2A +5B . . . . . collect P terms
P = (2A +5B)/7 . . . .divide by the coefficient of P
P = (2(-3, 1) +5(4, 5))/7 . . . . substitute the given points
P = (-6+20, 2+25)/7 . . . . . . simplify
P = (2, 3 6/7)
Answer:
a+c=27
195a+320c=6515
Step-by-step explanation:
adult (a): 195
children (c): 320
total $: $6515
child $: 27
a+c=27 --> c=-a+27
195a+320c=6515
sub the first equation into the 2nd equation to get a=17
sub a=17 into c=-a+27 to get c=10
so, an adult ticket is $17 and a child ticket is $10.
