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vodka [1.7K]
3 years ago
9

Please help

Mathematics
1 answer:
V125BC [204]3 years ago
3 0

A cone that is sliced through the vertex would make the shape of a triangle.

You are told the h eight is 10 cm and the radius is 4 cm.

The radius would be half the base, so the base would be 4 * 2 =8 cm.

The area of the triangle is found by multiplying the base by the height, then dividing by two.

Area = 8 x 10 = 80

80 / 2 = 40 square centimeters.

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Solve for x (3X -8) (x+2)
Oxana [17]

Answer:

(3X -8) (X +2)

=(3X^2 + 6X - 8X -16)

use the quadratic formula

a=3

b=-2

c=-16

therefore your x=8/3 or -2

7 0
2 years ago
–6(x + 5) + 3 = –2(x + 4) – 4x
Irina-Kira [14]

Step-by-step explanation:

–6(x + 5) + 3 = –2(x + 4) – 4x

–6x – 30 + 3 = –2x –8 – 4x

–6x –27 = –6x –8

–6x + 6x = –8 + 27

0 = 19

no solution

5 0
3 years ago
Find the linear equation with<br> Slope= 2/3<br><br> y-intercept = 1
beks73 [17]

Answer:

I believe the answer would be using the form of y= mx+b, b is y intercept and slope is m. It would end up looking like y= 2/3x+1

Step-by-step explanation:

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5 0
3 years ago
A bus travels 6 hours at a constant speed of 36 miles per hour.
adell [148]
Multiply the number of hours by how fast the bus is going. 

6*36= 216

The bus traveled 216 miles. 

I hope this helps!
~kaikers
6 0
3 years ago
Read 2 more answers
Metal Fabrication If an open box is made from a tin sheet 10 in. square by cutting out identical squares from each corner and be
MrRa [10]

Answer:

  • ength (l) : (10-2*5/3) = 20/3
  • width(w): (10 - 2*5/3) = 20/3
  • height(h): 5/3

Step-by-step explanation:

Let x is the side of identical squares

By cutting out identical squares from each corner and bending up the resulting flaps, the dimension are:

  • length (l) : (10-2x)
  • width(w): (10-2x)
  • height(h): x

The volume will be:

V = (10-2x) (10-2x) x

<=> V = (10x-2x^{2}) (10-2x)

<=> V = 100x -20x^{2} - 20x^{2} + 4x^{3}

<=> V = 4x^{3}  - 40x^{2} + 100x

To determine the dimensions of the largest box that can be made, we need to use the derivative and and set it to zero for the maximum volume

dV/dx = 12x^{2} -80x + 100

<=>  12x^{2} -80x + 100 =0

<=> x = 5 or x= 5/3  

You know 'x' cannot be 5 , because if  we cut 5 inch squares out of the original square, the length and the width will be 0. So we take x = 5/3

=>

  • length (l) : (10-2*5/3) = 20/3
  • width(w): (10 - 2*5/3) = 20/3
  • height(h): 5/3
6 0
3 years ago
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