B² = 8b + 84
b² - 8b - 84 = 0
b = -(-8) +/- √((8)² - 4(1)(-84))
 2(1)
b = 8 +/- √(64 + 336)
 2
b = 8 +/- √(400)
 2
b = 8 +/- 20
 2
b = 4 + 10
b = 4 + 10 b = 4 - 10
b = 14 b = -6

4 0

3 years ago

The surface areas of two similar hexagonal prisms are 882cm² and 1,058 cm²? What is the scale factor of the smaller

max2010maxim [7]

Answer:

scale factor of the smaller prism to the larger prism is B. 21/23

Step-by-step explanation:

Given

surface areas of two similar hexagonal prisms are 882cm² and 1,058 cm²?

scale factor is ratio of sides of two similar objects

thus scale factor for given prism will be = side of smaller prism / side of larger prism

in general rule

If shape of solid has scale factor of k

scale factor of area = k²

scale factor of volume = k³

_____________________________

Given in the problem area of two prism is given

we know area = side^2

scale factor of area = k²

k^2 = area of smaller prism / area of larger prism

$k^2 = 882 / 1058 = 441/529\\k = \sqrt{ 441/529} \\k = 21/23$

Thus, correct option is B 21/23.

7 0

2 years ago

joe is using his allowance money to download songs from the internet. he can download them at a rate of eight songs every 10 min

Mama L [17]

Joe: 8 songs in 10 minutes = 8/10 = 0.8 songs per minute

Jasmine: 12 songs in 15 minutes = 12/15 = 0.8 songs per minute

they are downloading at the same speed

7 0

3 years ago

If 8 poles are 3m apart,what is the distance in meters between the first and the eight pole​

If 8 poles are 3m apart,what is the distance in meters between the first and the eight pole