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balu736 [363]
3 years ago
12

How do I simplify 10√96

Mathematics
1 answer:
harkovskaia [24]3 years ago
5 0
 <span>96 = 16*6 = 4*4*6 

10√96 = 10√(4*4*6) = 10*4√6 = 40√6</span>
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Adam is 159 centimeters tall and casts a shadow 105 centimeters in height. If Cara is 140 centimeters tall, how many centimeters
vodomira [7]

Answer:

The answer to your question is 12.55 cm

Step-by-step explanation:

Data

Adam                                  Cara

height = 159 cm                  height = 140 cm

shadow = 105 cm                shadow = x

Process

1.- To solve this problem use the Thales' theorem

         Cara's shadow / Cara's height = Adam's shadow / Adam's height

- Substitution

                                     x / 140 = 105 / 159

-Solve for x

                                     x = 105 (140) / 159

-Simplification

                                     x = 14700 / 159

                                     x = 92.45 cm

Cara's shadow is 92.45 cm long.

2.- If both shadows are in line, then Cara must walk forward

                105 - 92.45 cm

                12.55 cm

             

4 0
3 years ago
Tasha purchased a $40 shirt on sale for $30 how much of a discount did Tasha recieve
WITCHER [35]
She received $10 discount
6 0
3 years ago
Read 2 more answers
What is the mean of 8,17,9,3,13
Aleonysh [2.5K]
You get the mean by finding the middle term if its an odd number if its an even number get the 2 middle numbers add thema nd divide them by 2 in this case the answer would be 9 

Hope this helps
6 0
4 years ago
Read 2 more answers
A raffle is being held to benefit the local animal shelter. They sell 717 tickets that do not win any prize, 19 tickets that win
matrenka [14]
Let’s start by finding the total amount of tickets sold

717+19+1=737

Now multiply by 5 to see how much money they initially brought in

737•5=3,685

Now let’s find the total expense of the prizes

166+(19•20)=t

166+380=546


Now subtract the expenses from the total ticket sales

3,685-546=3,139


They made $3,139 TOTAL


Now let’s divide the total made by the total tickets sold

3139 / 737 = 4.26


They made $4.26 PER TICKET


Hope this helps!
7 0
3 years ago
Solve the equation?
stiks02 [169]

Answer:

A

Step-by-step explanation:

Given

p² + 2p - 8 = 0 ← in standard form

with a = 1, b = 2, c = - 8

Using the quadratic formula to solve for p

p = ( - 2 ± \sqrt{2^2-(4(1)(-8))} / 2

  = ( - 2 ± \sqrt{4+32} / 2

  = ( - 2 ± \sqrt{36} ) / 2

p = \frac{-2-6}{2} = \frac{-8}{2} = - 4

p = \frac{-2+6}{2} = \frac{4}{2} = 2

5 0
3 years ago
Read 2 more answers
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