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3 years ago

What is the product of the expression (-2.2)(1.5)(-4.2)

Mathematics

2 answers:

Nataliya [291]3 years ago

8 0

Answer:

13.86

Step-by-step explanation:

(-2.2)(1.5)(-4.2) =

Use a calculator. Start with -2.2 * 1.5.

= (-3.3)(-4.2)

= 13.86

jok3333 [9.3K]3 years ago

5 0

Answer:13.86

Step-by-step explanation:

((−2.2)(1.5))(−4.2)

=(−3.3)(−4.2)

=13.86

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Marco is making a kite, using sticks for its diagonals. One stick is 2 feet long and the other is 3 feet long. How much material

Marat540 [252]

Answer:

Marco will need $3\ ft^{2}$ of material to make the kite

Step-by-step explanation:

we know that

To know how much material Marco will need to make the kite, the area must be calculated.

Remember that the area of the kite is equal to

$A=\frac{1}{2}[d1*d2]$

where

d1 and d2 are the diagonals of the kite

we have

$d1=2\ ft$

$d2=3\ ft$

substitute

$A=\frac{1}{2}[2*3]=3\ ft^{2}$

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3 years ago

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What is the remainder when the polynomial 6x^2 + 11x - 3 is divided by x + 2?

Firlakuza [10]

Answer:

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Step-by-step explanation:

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4 years ago

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3 years ago

Two unidentified flying discs are detected by a receiver. The angle of elevation from the receiver to each disc is 39.48 degree.

lys-0071 [83]

Answer:

The answer is "298.83 m"

Step-by-step explanation:

Its gap from its transmitter from each disc comprises of 2 triangles. Its horizontal segment via disc to vertical, and longitudinal segment. Disk height, h, is parallel to a horizontal disc Wink including its line across recipient to disc or horizontal 39. 48^{\circ}

$\to 39. 48^{\circ} = \frac{h_1}{826 \ m}\\\\ \to 826\ m (\ sin 39. 48^{\circ} ) = h_1\\\\ \to 525.18 = h_1\\\\$

if:

$\to \sin 39. 48^{\circ} = \frac{h_2}{1.296 \ km}\\\\ \to \sin 39. 48^{\circ} (1296 \ m) = h_2\\\\ \to 824.01 = h_2\\\\\to h_2 - h_1 = 824.01 - 525.18\\\\$

$= 298.83 \ m$

4 0

3 years ago

A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 505π ft3,

Romashka-Z-Leto [24]

Answer:

radius x = 3 ft

height h = 23,8 ft

Step-by-step explanation:

From problem statement

V(t) = V(cylinder) + V(hemisphere)

let x be radius of base of cylinder (at the same time radius of the hemisphere)

and h the height of the cylinder, then:

V(c) = π*x²*h area of cylinder = area of base + lateral area

A(c) = π*x² + 2*π*x*h

V(h) = (2/3)*π*x³ area of hemisphere A(h) = (2/3)*π*x²

A(t) = π*x² + 2*π*x*h + (2/3)*π*x²

Now A as fuction of x

total volume 505 = π*x²*h + (2/3)*π*x³

h = [505 - (2/3)* π*x³ ] /2* π*x

Now we have the expression for A as function of x

A(x) = 3π*x² + 2π*x*h A(x) = 3π*x² + 505 - (2/3)π*x³

Taking derivatives both sides

A´(x) = 6πx - 2πx² A´(x) = 0 6x - 2x² = 0

x₁ = 0 we dismiss

6 - 2x = 0

x = 3 and h = [505 - (2/3)* π*x³]/2* π*x

h = (505 - 18.84) / 6.28*3

h = 23,8 ft

7 0

3 years ago