Sold 17 tulips and 76 roses. tulips is equal to x and roses are equal to 4x+8. Then multiply by the amount they cost and then tulips are 2x and roses are 20x+40. They add together to get 414. 2x=20x=40=414. Solve. x=17. X is equal to the amount of tulips.
9514 1404 393
Answer:
470.16 cm²
Step-by-step explanation:
The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.
The apothem of the base for side length s is ...
s/2 = a·tan(π/8)
a = s/(2·tan(π/8)) ≈ 7.24 cm
The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...
x² = 10² + a² = 100 +52.46
x ≈ √152.46 ≈ 12.35
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The area of the 8 triangular faces will be ...
A = 1/2Px . . . . where P is the perimeter of the pyramid
The area of the base will be ...
A = 1/2Pa
So, the total surface area is ...
A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²
Answer:
The equation is y = x + 9.
Step-by-step explanation:
We need to equation of SR
Slope = slope of UV = 3/2
= 1.
One point on SR is (-2, 7) so using the point-slope form of the equation:
y - y1 = m(x - x1)
Here m = 1, x1 = -2, y1 = 7:
y - 7 = 1(x - (-2))
y - 7 = x + 2
y = x + 9
9514 1404 393
Answer:
1/4
Step-by-step explanation:
The slope can be found using the slope formula with the two left-most marked points:
m = (y2 -y1)/(x2 -x1)
m = (6 -5)/(0 -(-4)) = 1/4
The slope of the line is 1/4.