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3 years ago

Is 10xyz^3 a monomial

Mathematics

2 answers:

Margarita [4]3 years ago

6 0

Answer:

Yes

Hope this helped :)

Kay [80]3 years ago

4 0

Answer:

Yes

Step-by-step explanation:

A monomial is a number, a variable, or the product of a number & 1 or more variables with whole number exponents. So, this is a monomial. Hope this helped!

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A baker made 9 cakes. He cut each cake into 6 slices. How many slices of cake did the baker end up with?

Gnoma [55]

Answer:

54 slices

Step-by-step explanation:

You just multiply 9 by 6

8 0

4 years ago

A right triangle has a hypotenuse length of 13 units. One leg has a length of 12 units. Which equation can be used to determine

viktelen [127]

a = √(13² - 12²) units

<h3>Further explanation</h3>

<u>Given:</u>

A right triangle has a hypotenuse length of 13 units.
One leg has a length of 12 units

<u>Question:</u>

Which equation can be used to determine the length of the other leg?

<u>The Process:</u>

We will solve a problem regarding right triangles. In the process, there is a relationship between the Pythagorean Theorem with Exponent and Square Root.

Let us find out the equation to determine the length of the other leg. Let the length of the leg as "a".

The Phytagorean Theorem:

$\boxed{ \ (leg)^2 + (leg)^2 = (hypotenuse)^2 \ }$

$\boxed{ \ a^2 + 12^2 = 13^2 \ }$

Subtract by 12² on both sides.

$\boxed{ \ a^2 = 13^2 - 12^2 \ }$

To take the square root on both sides.

So here's the equation that can be used to determine the length of the other leg: $\boxed{\boxed{ \ a = \sqrt{13^2 - 12^2} \ }}$

- - - - - - - - - -

Notes

If we continue working on the above, the results will be as follows:

$\boxed{ \ a = \sqrt{13^2 - 12^2} \ }$

$\boxed{ \ a = \sqrt{169 - 144} \ }$

$\boxed{ \ a = \sqrt{25} \ }$

Hence the length of the other leg equal to a = 5 cm.

Of course, we agree with the use of the right intuition, which is to remember Pythagorean Triples, i.e., $\boxed{ \ 5-12-13 \ }.$ This method is very convenient when working on multiple-choice tests in a limited amount of time.

<h3>Learn more</h3>

What are the lengths of the legs of the triangle? brainly.com/question/13027296
Find out the measures of the two angles in a right triangle brainly.com/question/4302397
A word problem of a quadratic equation brainly.com/question/11805547

5 0

4 years ago

. All the students in SS3 of a named school take either Mathematics (M), or Physics (P) or Chemistry (C). 40 take Mathematics, 4

aivan3 [116]

Answer:

(a) = 13

(b) = 8

Step-by-step explanation:

Addition theorems on sets are

Theorem 1 :

n(AuB) = n(A) + n(B) - n(AnB)

Theorem 2 :

n(AuBuC) : = n(A) + n(B) + n(C) - n(AnB) - n(BnC) - n(AnC) + n(AnBnC)

Total number of students in the school is not given

so let there are 60 students in the school

using theorem 2

n(AuBuC) : = n(A) + n(B) + n(C) - n(AnB) - n(BnC) - n(AnC) + n(AnBnC)

let n(A) = Mathematics, n(B) =Physics and n(C) = Chemistry

so putting values,

60 = 40 + 42 + 38 - 20 - 28 - 25 + n(AnBnC)

60 +73 -120 = n(AnBnC)

13 = n(AnBnC)

therefore, there are total 13 students who take all three subjects

Number of students who had taken only Mathematics =
n(A) - n(AnB) - n(AnC) + n(AnBnC)

40 - 20 - 25 + 13

53 - 45 = 8 students

Number of students who had taken only Physics =

n(B) - n(BnA) - n(BnC) + n(AnBnC)

42 - 20 - 28 + 13

53 - 48 = 5 students

learn more about sets and vein diagrams at

brainly.com/question/2332158

#SPJ10

4 0

2 years ago

Is the product of a fraction that is greater than one and any whole number less than or greater than the whole number? Explain y

uysha [10]

F the fraction is greater than 1, in other words the numerator is greater than the denominator, the product will be greater than the whole number.If the fraction is less than one, in other words the numerator is less than the denominator, the product will be less than the whole number.If the fraction is equal to 1, in other words the numerator is equal to the denominator, the product will equal the whole number.

7 0

4 years ago

1) find the Least Common Multiple of 12 and 18

Alekssandra [29.7K]

Answer:

Step-by-step explanation:

3 0

3 years ago