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il63 [147K]
3 years ago
13

20 square root of 270 /4 square root of 3

Mathematics
1 answer:
OleMash [197]3 years ago
6 0

Answer:

<u>The most simplified form is 15√10</u>

Step-by-step explanation:

1. Let's simplify the expression:

20√270 ÷ 4√3

20√9 * 30/  4√3 (√270 = √9 * 30)

60 √30/ 4√3

(60 √3 * √10) / 4√3 (√30 = √3 * √10)

60/4 √10 ( We cancel √3 in the numerator and in the denominator)

15√10

<u>The most simplified form is 15√10</u>

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When the smaller of two consecutive integers is added to two times the​ larger, the result is 35. Find the integers.
Aleonysh [2.5K]

x+2(x+1)=35

x+2x+2=35

3x=35-2=33

x=33/3=11

smaller number=11

larger number=11+1=12

4 0
3 years ago
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5 0
3 years ago
Plz help asap i really need it for 30 points
Pani-rosa [81]

Answer:

13.04 cm^2

Step-by-step explanation:

Larger Circle diameter is 12.5 cm and the smaller is 3.5 cm

The Area of a circle is A = πr^2 = πd^2/4

Larger Circle divide the diameter by 2 = 6.25 cm

Smaller Circle dive the diameter by 2 = 1.75 cm

Using above formula  A =  122.71846303085 cm^2 &  

Finally we deduct the smaller Area from the larger Area

A = 9.6211275016187 cm^2 - 9.6211275016187 cm^2

122.71846303085 cm^2 - 9.6211275016187 cm^2 =

113.0973355292 cm^2 thus 13.04 is your answer since I used the

π = 3.1415926535898

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π = pi = 3.1415926535898

6 0
3 years ago
What is the domain of h?
sergeinik [125]

Answer:

C

Step-by-step explanation:

  • The domain is all the x numbers for each point
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3 0
3 years ago
In sunlight, a vertical stick has a height of 4 ft and casts a shadow 2 ft long at the same time that a nearby tree casts a shad
marshall27 [118]
Remark
Make up a proportion that relates the tree and its properties to the stick and its properties.

Givens
Stick height (s_h) = 4
Stick shadow(s_s) = 2
Tree shadow = t_s = 18
Tree height = x

Formula
s_h / s_s = x / t_s

Substitute and solve.
4/2 = x / 18  Cross multiply
4*18 = 2 * x
72 = 2x        Divide by 2
72/2 = x       
x = 36

The height of the tree is 36 feet.     
6 0
3 years ago
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