Answer:
Step-by-step explanation:
Given : Jennifer got a box of chocolates. the box is a right triangular prism shaped box. it is 7 in long. and the triangular base measure 2in times 3in times 4in.
a = 2
b=3
c=4
To Find : what is the surface area of the box of chocolates?
Solution: The first thing we should know is the area of the triangular base.
Triangular base area:
Where, s is the semi-meter of the triangle:
a, b, c: sides of the triangle.
Substituting:
s = (2 + 3 + 4) /2=4.5
A1 = 2.90
Then, you must know the area of each rectangle associated with each side of the triangular base.
Rectangle area 1: Ar1 = (a) * (l)
Ar1 = (2) * (7)
Ar1 = 14
Rectangular area 2: Ar2 = (b) * (l)
Ar2 = (3) * (7)
Ar2 = 21
Rectangular area 3: Ar3 = (a) * (l)
Ar3 = (4) * (7)
Ar3 = 28
Finally the surface area is: A = Ar1 + Ar2 + Ar3 + 2 * A1
A = (14) + (21) + (28) + 2 * (2.90)
Hence the surface area of the box of chocolates is
Draw a graph that joins the points (100, 120) and (50, 95) and has a slope = 2
Draw a graph that joins the points (120, 100) and (95, 50) and has a slope = 2
Draw a graph that joins the points (120, 100) and (95, 50) and has a slope = 0.50
Answer:
The correct answer is A. Draw a graph that joins the points (100, 120) and (50, 95) and has a slope = 0.50
Step-by-step explanation:
1. Let's review the information given to us for solving the question:
Total of megabytes of date used = x
Total monthly charges = y
x₁ = 50 Megabytes, x₂ = 100 Megabytes
y₁ = US$ 95, y₂ = US$ 120
2. Let's find out the best description of the steps to draw the graph and the slope.
Slope = (y₂ - y₁)/ (x ₂- x₁)
Slope = 120 - 95/ 100 - 50
Slope = 25/50 = 1/2 = 0.50
Remember that the coordinates of the points in the line are written this way:
(x, y) ⇒ (Total of megabytes of date used, Total monthly charges)
The correct answer is A. Draw a graph that joins the points (100, 120) and (50, 95) and has a slope = 0.50
Answer:
a
Step-by-step explanation:
100% on test
Answer:
12th term = 34.5
Step-by-step explanation:
l = a + (n-1)*d
d = 1.5
70th term = 121.5
a + 69 * 1.5 = 121.5
a + 103.5 = 121.5
a = 121.5 - 103.5
a = 18
12 th term = 18 + 11 * 1.5 = 18 + 16.5 = 34.5
Answer:
= 34.5
Step-by-step explanation:
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given = 121.5, then
a₁ + (69 × 1.5) = 121.5
a₁ + 103.5 = 121.5 ( subtract 103.5 from both sides )
a₁ = 18
Hence
= 18 + (11 × 1.5) = 18 + 16.5 = 34.5
Answer:
$969.70
Step-by-step explanation:
The deductions add up to $580.30. So deduct $580.30 from $1,550, which equals 969.70