if y=367
then you need to figure out this:
367=5x+287
so remove 287 from 367
367-287=80
Then divide by 5
80/5=16
so, x=16
Answer:
Step-by-step explanation:
Given two similar triangles.
Corresponding parts of similar figures have same ratio.
<u>Use ratios to find the value of x:</u>
- (4x - 5)/(x + 7) = 35/12.5
- (4x - 5)/(x + 7) = 14/5
- 5(4x - 5) = 14(x + 7)
- 20x - 25 = 14x + 98
- 20x - 14x = 98 + 25
- 6x = 123
- x = 123/6
- x = 20.5
<u>Find the value of FG:</u>
Answer:
I think you forgot to attach the file...
Step-by-step explanation:
Answer:
Altura = 20,000 cm
Step-by-step explanation:
V = (pi x r^2 x a)/3
1.696.464 = (3.14 x 9^2 x a) / 3
1.696.464 = 84,82 altura
1.696.464 / 84,82 = altura
a = 20,000cm
Answer:
27/2
Step-by-step explanation:
Given
Vertices (0, 0), (3, 0), and (0, 3)
Since the base of the equilateral in the plane perpendicular to the x-axis goes from the x-axis to the line y = 3 - x.
So, the length of each side of the triangle is (3-x)
Calculating the area;
Area = ½bh
Where b = base = 3 - x
height is calculated as;
h² = (3-x)² + (½(3-x))² --- from Pythagoras
h² = 9 - 6x + x² + (3/2 - ½x)²
Let h² = 0
0 = 9 - 6x + x² + (9/4 - 6/4x + ¼x²)
0 = 9 + 9/4 - 6x - 6/4 + x² + ¼x²
0 = 45/4 - 30x/4 + 5x²/4
0. = 5x²/4 - 30x/4 + 45/4
0 = 5x² - 15x/4 - 15x/4 + 45/4
0 = 5x(x/4-¾) - 15(x/4 - ¾)
0 = (5x - 15)(x/4 - ¾)
5x = 15 or x/4 = 3/4
x = 3 or x = 3
So, h = 3
Area = ½bh
Area = ½ * (3-x) * 3
Area = ½(9-3x)
Volume= Integral of ½(9-3x) {3,0}
V = 9/2 - 3x/2 {3,0}
V = 9x/2 - 3x²/4 {3,0}
V = 9(3)/2 - 3(3)²/4
V = 27/2 - 27/4
V = 27/2
