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Nikolay [14]
3 years ago
12

Please help asap 50 pts

Mathematics
2 answers:
Gala2k [10]3 years ago
7 0
The volume of the rectangular prism:

V = length × width × height

60x^3+145x^2+70x=5x(12x^2+29x+14)=5x(12x^2+21x+8x+14)\\\\=5x[3x(4x+7)+2(4x+7)]=5x(4x+7)(3x+2)

Answer: A.\ 5x(4x+7)(3x+2)
adell [148]3 years ago
4 0
The correct answer would be A.
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Approximate the distance between (-1, -3) and (1, 3) to the nearest tenth
jasenka [17]

Answer: The distance or d = 6.324555

For:

(X1, Y1) = (-1, -3)

(X2, Y2) = (1, 3)

Step-by-step explanation:

Distance Equation Solution:  This picture of the work out problem will show you how you would work it out.  

7 0
3 years ago
The arc length of a sector created by a 90 degrees angle is 2 pi cm. What is the circumference of the entire circle? Express the
Anvisha [2.4K]

Answer:

8 pi

Step-by-step explanation:

When radius is

L = r * Θ = 2 * π/4 = 1.57079633 cm.

When radius is

L = r * Θ = 10 * π/4 = 7.85398163 cm.

8 0
3 years ago
Read 2 more answers
A square pyramid has a base length of 4 inches. The height of each triangular face is 12 inches. What is the surface area of the
Wittaler [7]

Answer:

The surface area of the given pyramid is 112 inches^{2}.

Step-by-step explanation:

Base length of the pyramid = 4 inches

Area of the base = length^{2}

                            = 4^{2}

                            = 16

Area of its base = 16 inches^{2}

Area of one of its triangular surface = \frac{1}{2} x base x height

                                 = \frac{1}{2} x 4 x 12

                                 = 2 x 12

                                 = 24 inches^{2}

Area of all its four triangular surfaces = 4 x 24

                                                       = 96 inches^{2}

surface area of the pyramid = sum of areas of all its surfaces

                                               = 16 + 96

                                       = 112 inches^{2}

The surface area of the given pyramid is 112 inches^{2}.

8 0
3 years ago
A 99 ft length of wire is to be cut into 2 pieces, so that the longer piece is eight feet longer than six times the shorter piec
Serhud [2]

here's the solution,

let the length of shorter peice = x

then the lenght of longer peice = 6x + 8

now, we know that the sum of length of peices measures 99 feet,

So,

=》x + 6x + 8 = 99

=》7x = 91

=》x = 13

shorter piece length = 13 feet

longer peice length = 13 × 6 + 8 = 78 + 8 = 86 feet

5 0
3 years ago
A source of laser light sends rays AB and AC toward two opposite walls of a hall. The light rays strike the walls at points B an
Schach [20]
When drawn out, the answer becomes the sum of the bases of two triangles

Answer: 70 m

3 0
3 years ago
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