Answer:
Step-by-step explanation:
A
lets say t is each ticket
and b is each book
0.25t + 2b = 17 that is for both
for just books
2b = 17
1. x=5
Explanation:
2(2x-3)=x+9
4x-6=x+9
-x -x
3x=15
x=5
2. x=-9
Explanation:
2(x+19)=x+29
2x+38=x+29
-2x -2x
9=-x
-9=x
Answer:
The height is 4.472
Step-by-step explanation:
That formula is Heron's formula.
Where "s" is calculated like this:
s = (a + b + c) / 2
In this case:
a = 14
b = 12
c = 6
replacing:
s = (14 + 12 + 6) / 2
s = 16
Now we calculate the area:
A ^ 2 = 16 * (16−14) * (16−12) * (16−6)
A ^ 2 = 1280
A = 35.777
The area of the triangle is:
A = b * h / 2
In this case we will take the base as the longest side of the triangle, that is to say = 14
Thus:
h = A * 2 / b
h = 35.777 * 2/16
h = 4.472
So the height is 4.472
Answrer
Find out the what is the perimeter of the rectangle .
To prove
Now as shown in the figure.
Name the coordinates as.
A(−3, 4) ,B (7, 2) , C(6, −3) , and D(−4, −1) .
In rectangle opposite sides are equal.
Thus
AB = DC
AD = BC
Formula

Now the points A(−3, 4) and B(7, 2)





Thus

Now the points
A (−3, 4) , D (−4, −1)




Thus
Formula
Perimeter of rectangle = 2 (Length + Breadth)
Here






Perimeter of a rectangle = 30.6 units.
Therefore the perimeter of a rectangle is 30.6 units.
Answer:
162 cents
Step-by-step explanation:
to find the rate you want take the inches which is 21 and divide by the cost which is 63 and find the rate is 3 which means each inch costs 3 cents and so with that rate you can find the cost of 54 inchest of wire so you take your 54 inches and multiply it by 3 which is the cents per inch and find that 54 inches of wire would cost you 162 cents