Area of the triangle = 1/2 x 2.9 x 8 = 11.6 cm²
Volume = base area x height
Volume = 11.6 x 6 = 69.6cm³
$24.95−$6.95=$18. Thus 8 tubes of paint cost $18.
$188=$2.25 for 1 tube of paint.
Explanation:
Once you remove the cost of the canvas from the total price, you're left with only the cost of the 8 tubes of paint.
This is represented by
$24.95−$6.95=$18
If 8 tubes of paint cost $18, then all we have to do is divide 18 by 8 to get the cost of each individual tube of paint.
Thus
$188=$2.25
is the cost for one tube of paint.
Hope this is helpful to you..
Mark as brainlist
Answer:
The second choice: graph begins in the second quadrant near the axis and increases slowly while crossing the ordered pair 3, 1. The graph then begins to increase quickly throughout the first quadrant.
Explanation:
1) As per the set of choices, the function is:
2) Therefore it is an exponential function with these characteristics:
- Since, the bases is greater than 1 (2), the function is growing in all the domain.
- The domain is all real numbers (- ∞, ∞).
- To know where the function starts, calculate the limit of f(x) as x trends to negative infinity:
That means that the range is y > 0, and so the graph starts in the second quadrant.
- You can find the y-intersection making x = 0, which is 2⁰ ⁻ ³ = 2 ⁻³ = 1/8 = 0.25. So, the graph cross the y axis at y = 0.25.
- That tells you, that the function increases slowly, at least, until that point (0, 0.25).
- The other bullet point is when x = 3: 2 ³ ⁻ ³ = 2⁰ = 1. Therefore, the graph passes through the point (3, 1).
- From that point, the function starts to increase rapidly (since it is exponential).
- Those are the characteristics given by the second choice: graph begins in the second quadrant near the x-axis and increases slowly while crossing the ordered pair 3, 1. The graph then begins to increase quickly throughout the first quadrant.
You surely will find useful to watch the graph that I have attached.
Answer:
- 24 cm²
- 6400 -1600π ≈ 1373.45 square units
Step-by-step explanation:
1. You can look at this several ways.
It can be considered to be a stack of 1+2+3 = 6 squares that are 2 cm on a side, so have a total area of 6 × (2 cm)² = 24 cm².
You can lop off one of the squares sticking out and put it into the empty corner to form a 6 cm by 4 cm rectangle with an area of (6 cm)(4 cm) = 24 cm².
You can consider it to be a 6 cm square with 3 squares cut out of it that are 2 cm on a side: (6 cm)² -3(2 cm)² = (36 -12) cm² = 24 cm².
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2. The shaded area is the difference in areas of a square 80 units on a side and a circle of 40 units radius. If we let d represent the side dimension of the square, then the area formulas are ...
Square area = d²
Circle area = π(d/2)²
So the difference area is ...
shaded area = d² -(π/4)d² = d²(1 -π/4)
For d=80, the shaded area is ...
shaded area = 80²(1 -π/4) = 6400 -1600π ≈ 1373.45 square units
Answer:
x/y = 88/7
Step-by-step explanation:
x+y=19
x+3y=12y+5
First rewrite second equation as:
x +3y-12y = 5
Combine like terms:
x-9y = 5
Now you have:
x+y=19
x-9y = 5
Elimination method Subtract 2 equations:
10y = 14 Divide both sides by 10
y = 14/10 = 7/5
Plug in y in any given equation and calculate x:
x+ 7/5 = 19 Subtract 7/5 from 19
x = 88/5 = 17 3/5
x/y = 88/5 : 7/5
