All categories

3 years ago

HURRY PLEASE I really need this to pass my class

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

6 0

Problem 1.

$\sqrt{\dfrac{2160x^8}{60x^2}} =$

$= \sqrt{36x^6}$

$= 6x^3$

Problem 2.

$\sqrt{400x^{100}} =$

$= 20x^{50}$

Problem 3.

$\sqrt{100x^{36}} =$

$= 10x^{18}$

You might be interested in

Geometry Pythagorean theorem

lara31 [8.8K]

Answer:

Below!

Step-by-step explanation:

Using Pythagoras theorem, I will solve all of the problems.

<u>Question 9:</u>

10² = 6² + x²
=> 100 = 36 + x²
=> 100 - 36 = x²
=> 64 = x²
=> x = 8

<u>Question 10:</u>

26² = 24² + x²
=> 676 = 576 + x²
=> 676 - 576 = x²
=> 100 = x²
=> x = 10

<u>Question 11:</u>

15² = 12² + x²
=> 225 = 144 + x²
=> 225 - 144 = x²
=> 81 = x²
=> x = 9

<u>Question 12:</u>

x² = 8² + 12²
=> x² = 64 + 144
=> x² = 208
=> x = √208
=> x = 14.2 (Rounded)

<u>Question 13:</u>

7² = 2² + x²
=> 49 = 4 + x²
=> 49 - 4 = x²
=> 45 = x²
=> x = √45
=> x = 6.7 (Rounded)

<u>Question 14</u>

First, let's solve for the variable x using Pythagoras theorem.

=> 5² = 3² + x²
=> 25 = 9 + x²
=> 16 = x²
=> x = 4 units

Now, let's solve for the variable y using Pythagoras theorem.

(3 + 6)² = 5² + y²
=> (9)² = 25 + y²
=> 81 = 25 + y²
=> y² = 56
=> y = √56
=> y = 7.5 (Rounded) units

Answers (Nearest tenth):

x = 4 units
y = 7.5 units

<u>Question 15:</u>

First, let's find the value of the variable y using Pythagoras theorem.

8² = 6² + y²
=> 64 = 36 + y²
=> 28 = y²
=> y = √28
=> y = 5.3 (Rounded) units

Now, let's find the value of the variable x using multiplication.

x = 2y
=> x = 2(5.3)
=> x = 10.6 units

Answer (Nearest tenth)

x = 10.6 units
y = 5.3 units

5 0

2 years ago

[2/(n+2)] - (3/n+2) = 5<br><br> Solve by u-substitution

IgorLugansk [536]

<span>let n+2=u so, the equation became= [2/u]-[3/u]=5 => [(2+3)/u]=5 => 5/u=5 => u=5/5=1 thus, u=1 we know u=n+2 so, n+2=1 => n=1-2=-1 so, n=-1</span>

7 0

3 years ago

5x divided by 6=9<br> what is x

Tju [1.3M]

X is nine.............

6 0

3 years ago

Read 2 more answers

in a history class the girl to boy ratio is 9 to 5 if there are a total of 70 students, how many boys are there

Nikolay [14]

Answer:

Girls: 45

Boys: 25

Step-by-step explanation:

$9 + 5 = 14$

$70 \div 14 = 5$

$9 \times 5 = 45$

$5 \times 5 = 25$

Awnser Check:

$45 + 25 = 70$

8 0

3 years ago

Tracy measured the weight of her hamster. Her first measurement was 13 ounces. Her second measurement was 1 pound. Which measure

pickupchik [31]

Answer:

13 ounces

Step-by-step explanation:

5 0

3 years ago