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UNO [17]
3 years ago
13

What is the simplified form of (cube root of)16

Mathematics
1 answer:
xeze [42]3 years ago
5 0
Remember that \sqrt[n]{x^m}=  x^{ \frac{n}{m} } so

∛16=16^(1/3)
we know that
16=2^3 so
(2^3)^(1/3)
remember another rule
(x^m)^n=x^(mn) so
(2^3)^(1/3)=2^(3/3)=2^1=2
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Can someone help me with this proof
maksim [4K]

Step-by-step explanation:

Given :

Given that lines a and b are parallel, angles 1 and 5 are congruent because they are corresponding angles, and angles 1 and 4 are congruent because they are vertical angles

To find : by which property are angles 4 and 5 congruent

Solution :

We know that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

Also, we know that if two things are equal to the same thing then they are equal to each other . In this case, we can say that if two angles are congruent to a third angle, then they are congruent to each other. As angles 4 and 5 are both congruent to angle 1, they are congruent to each other but angles 4 and 5 are alternate interior angles. So, if parallel lines have a transversal, alternate interior angles are congruent.

8 0
3 years ago
At a ski resort, 1/4 of the 300 skiers are beginners, and 1/4 of the 260 snowboarders are beginners. The resort staff used the d
Evgen [1.6K]

\frac{1}{4}(300 + 260) = \frac{1}{4} \times 300 + \frac{1}{4} \times 260 is the expression that demonstrates the distributive property

<em><u>Solution:</u></em>

Given that,

At a ski resort, \frac{1}{4} of the 300 skiers are beginners

\frac{1}{4} of the 260 snowboarders are beginners

The resort staff used the distributive property to make the calculation of the total number of beginners on the ski slopes

Beginners in skiers = \frac{1}{4} of the 300

Beginners in snowboarders = \frac{1}{4} of the 260

Total number of beginners = Beginners in skiers + Beginners in snowboarders

\text{ Total number of beginners } = \frac{1}{4}(300) + \frac{1}{4}(260)

We have to use distributive property

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum

<h3>a(b + c) = ab + bc</h3>

<em><u>Therefore, our expression is:</u></em>

\frac{1}{4}(300) + \frac{1}{4}(260)

We have to take \frac{1}{4} as common term to get distributive property

\frac{1}{4}(300) + \frac{1}{4}(260) = \frac{1}{4}(300 + 260)\\\\\frac{1}{4} \times 300 + \frac{1}{4} \times 260 = \frac{1}{4}(300 + 260)

Thus distributive property is applied

8 0
3 years ago
Find the value of x ​
Gwar [14]

Answer:

hello

Step-by-step explanation:

4x+3x+2x=180⁰

9x=180⁰

x=20

hope it helps

have a nice day

5 0
3 years ago
Read 2 more answers
The Robinson family and the Moore family are going on a day trip to visit the Square Caverns on Monday. The Robinson family has
sladkih [1.3K]

Answer:

admission price of each parent = $7.5

admission price of each child = $15

Step-by-step explanation:

x = admission price of each parent

y = admission price of each child

Robinson family:

2x + 4y = 75

Moore family:

2x + 3y = 60

2x + 4y = 75 (1)

2x + 3y = 60 (2)

Subtract (2) from (1)

4y - 3y = 75 - 60

y = 15

Substitute y = 15 into (1)

2x + 4y = 75

2x + 4(15) = 75

2x + 60 = 75

2x = 75 - 60

2x = 15

x = 15/2

x = 7.5

6 0
3 years ago
How do you find out the mean?
Alexandra [31]

Answer:

Add up all the numbers, then divide by how many numbers there are

Step-by-step explanation:


4 0
3 years ago
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