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1 year ago

Pls complete fast and be sure of ur answer

Mathematics

1 answer:

jekas [21]1 year ago

4 0

The number of students which are either in algebra or physics are 23 which is the second option.

Given that:-

Total number of students = 30

Number of students both in physics and algebra = 4

Total number of students in Physics = 12

Total number of students in Algebra = 19

We have to find the number of students which are either in algebra or physics.

Number of students in physics but not in algebra = 12 - 4 = 8

Number of students in algebra but not in physics = 19 - 4 = 15

We know that:-

Number of students which are either in algebra or physics = Number of students in physics but not in algebra + Number of students in algebra but not in physics

Hence, we can write,

Number of students which are either in algebra or physics = 8 +15 = 23.

We can also do this question using Venn diagram.

To learn more about Venn diagram, here:-

brainly.com/question/1605100

#SPJ1

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Prove divisibility 45^45·15^15 by 75^30

Anuta_ua [19.1K]

Answer:

$3^{75}$

Step-by-step explanation:

We are asked to divide our given fraction: $\frac{45^{45}*15^{15}}{75^{30}}$ .

We will simplify our division problem using rules of exponents.

Using product rule of exponents $(a*b)^n=a^n*b^n$ we can write:

$45^{45}=(3*15)^{45}=3^{45}*15^{45}$

$75^{30}=(5*15)^{30}=5^{30}*15^{30}$

Substituting these values in our division problem we will get,

$\frac{3^{45}*15^{45}*15^{15}}{5^{30}*15^{30}}$

Using power rule of exponents $a^m*a^n=a^{m+n}$ we will get,

$\frac{3^{45}*15^{45+15}}{5^{30}*15^{30}}$

$\frac{3^{45}*15^{60}}{5^{30}*15^{30}}$

Using quotient rule of exponent $\frac{a^m}{a^n}=a^{m-n}$ we will get,

$\frac{3^{45}*15^{60-30}}{5^{30}}$

$\frac{3^{45}*15^{30}}{5^{30}}$

Using product rule of exponents $(a*b)^n=a^n*b^n$ we will get,

$\frac{3^{45}*(3*5)^{30}}{5^{30}}$

$\frac{3^{45}*3^{30}*5^{30}}{5^{30}}$

Upon canceling out $5^{30}$ we will get,

$3^{45}*3^{30}$

Using power rule of exponents $a^m*a^n=a^{m+n}$ we will get,

$3^{45+30}$

$3^{75}$

Therefore, our resulting quotient will be $3^{75}$ .

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2 years ago

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2 years ago

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Two angles of a triangle measure 22 and 53 what is the measure of the third angle

Musya8 [376]

The third angle is 105.
How do I know this?
Add 22 and 53:
22 + 53 = 75
All interior angles on a triangle should add up to 180.
Subtract 75 from 180:
180 - 75 = 105
105 is our answer.
Hope this helps! =)

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3 years ago

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2 years ago

Pls complete fast and be sure of ur answer ￼￼

Pls complete fast and be sure of ur answer