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MatroZZZ [7]
3 years ago
13

Solve each quadratic equation by factoring. 1] x^2+24=11x 2] 2x^2+12x-14=0

Mathematics
1 answer:
slavikrds [6]3 years ago
3 0

1] x=3 and x=8

2] x=-7 and x=1

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ExtremeBDS [4]
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3 0
3 years ago
Find the volume of the composite solid. Round your answer to the nearest tenth
Vesna [10]

Answer:

V = 1206.3 ft^{3}

Step-by-step explanation:

This shape is made up of a cylinder on the bottom and a cone on the top. We'll find the volumes of these shapes separately and then add them together.

Volume of a cylinder = area (of the base) x height

Substitute in the formula for the area of a circle.

V(cylinder) = \pir^{2} x h

Substitute in the values for the radius (8) and height (4)

V(cylinder) = \pi x 8^{2} x 4

Evaluate using a calculator

V(cylinder) = 804.2477

To the nearest tenth, V(cylinder) = 804.2

Volume of a cone = \frac{\pi r^{2}h }{3}. This is the area of the circular part of the cone (\pi r^{2}), multiplied by the height from the point to the base, all divided by 3.

Substitute in the values for the radius of the circle (8) and the height (6)

V(cone) = \frac{\pi 8^{2} 6 }{3} (On the top it's \pi x 8^{2} x 6)

Evaluate using a calculator

V(cone) = 402.1239

To the nearest tenth, V(cone) = 402.1

Total volume = V(cylinder) + V(cone)

= 804.2 + 402.1

= 1206.3 ft^{3}

7 0
3 years ago
in order to prepare for building a brick patio, a rectangle measuring 8 feet by 10 feet must be marked off, then the dirt dug ou
Gala2k [10]
The sand makes up a rectangular prism of dimensions 8' by 10' by 0.5'.

The volume of sand is then   V = L*W*H, or V = (10')(8')(0.5') = 40 cubic ft.
5 0
3 years ago
1. It is a four digit whole number. 2. It is the product of three consecutive numbers. 3. One of these three consecutive numbers
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8 0
3 years ago
Find the discriminant of 3x^2-10x=-2
Oksanka [162]

Answer:

76

Step-by-step explanation:

given a quadratic equation in standard form : ax² + bx + c = 0 : a ≠ 0

then the discriminant is Δ = b² - 4ac

given 3x² - 10x = - 2 ( add 2 to both sides )

3x² - 10x + 2 = 0 ← in standard form

with a = 3, b = - 10 and c = 2

b² - 4ac = (- 10)² - (4 × 3 × 2) = 100 - 24 = 76


7 0
3 years ago
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