All Answers 358536 Answers

b + 10 divides 8b + 10 for b = 4.

Thanks!

I think it has 23 digits = 22120202341134444310412_5

I think it has: 4.444444444444..._5×5^10077695 =10077696 digits.

Pretty sure that's incorrect.

Find, in simplest radical form, the shortest possible distance in centimetres that could be traced from A to B on the surface of this 6 cm x 10 cm x 24 cm block.

AB = 32 cm  

This is the smallest I could come up with:  10468 x 23579=246,824,972

​Find the height, h, of the diagram if each circle has a radius of 12 cm.

h ≈ 65.569 cm 

A lot lol... just got a new exam review and need someone to explain the solutions to me.

1% ? im guessing

how many are u sending?!

An equilateral triangle has a side of length 12 inches. What is the area of the triangle, in square inches? Express your answer in simplest radical form.

a = 12 in

h = sqrt(3) * a/2 = 10.39230485

Δ Area = h * a/2 ≈ 62.354 in²  

An equilateral triangle has a side of length 12 inches. What is the area of the triangle, in square inches? Express your answer in simplest radical form.   

Area of a triangle is one-half the base times the height.  The base of this triangle is 12 inches of course.  What is the height? 

The height would be the length of the line dropped perpendicular from the top vertex to the base.  This forms a right triangle, with one side of 6 inches (half the base side, 6 inches) and the hypotenuse (12 inches).  We use Pythagoras' Theorem to determine the other side. 

a² + b² = c² 

6² + b² = 12² 

36 + b² = 144 

b² = 144 – 36 = 108 

b = sqrt(108)  =  sqrt(36•3)  =  6•sqrt(3)       This is the height. 

The area of a triangle is (1/2) • base • height

A = (1/2) • (12) • (6 • sqrt(3))

A  =  36 • sqrt(3) 

_.

g    = green beads

o = orange beads =  g + 8

b = brown beads = 2 * o   =   2 (g+8)         summed = 96

g       +      g+8      +      2 (g+8)   = 96

       solve for g                           then    o = g+8                       and b   = 2 (g+8)   

A short computer code gives 275 such numbers beginning with: 

1003, 1006, 1007, 1011.......and ending with.............. 1985, 1991, 1994.

  You can use Tan function

Tan 78^o = opp / adj         opp is the height  (to which you must add David's 6 ft height)    and      adj = 500 ft   

tan 78 = opp/500           solve for opp....then add the 6 ft

72 inch

an equalatral tryangle has all the same side length, so (12 x 12) / 2

72 inch

an equalatral tryangle has all the same side length, so (12 x 12) / 2

144 inches

Sammy has two similar boxes.  One box has side lengths that are 3 times larger than the other box.  If the larger box has a volume of 5400 inches cubed, what is the volume of the smaller box?

Let the larger box have these dimensions:  30 x 15 x 12 = 5400 in³

The volume of the smaller box is:  ( 30/3 )*( 15/3 )*( 12/3 ) = 200 in³  

Name variables for each type of coin.

What do you get when you isolate x?