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3 years ago

one angle of a triangle is 8 times as large as the smallest angle, and the longest is 3 times the smallest. find all 3 angles

Mathematics

1 answer:

vaieri [72.5K]3 years ago

3 0

3S + S + S + 20 = 180 gives 5S = 160 OR S = 32

Largest = 3S = 3*32 = 96 degrees ANSWER

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landon wants to show that the product of rational numbers is always a rational number. complete his work and explanation by fill

lubasha [3.4K]

Multiply √2 by √72. The product is a rational number because √144 can be simplified to an integer.

Step-by-step explanation:

As Landon has to prove that two product of two rational numbers, he has to choose two rational numbers from the list and then multiply and show that the product is also a rational number.

Let us define the rational numbers first

A number that can be written in the form of p/q where p,q are integers and q is not equal to zero, is called a rational number.

From the give =n list of rational numbers

Taking

√2 and √72

$\sqrt{2} * \sqrt{72}\\=\sqrt{2*72}\\=\sqrt{144}\\=12\\=\frac{12}{1}$

As we can see that the product of √2 and √72 is 12 which is also a rational number.

So,

Multiply √2 by √72. The product is a rational number because √144 can be simplified to an integer.

Keywords: Rational numbers, Product

Learn more about rational numbers at:

#LearnwithBrainly

7 0

3 years ago

Ax+by=(a-b) , bx - ay =(a+b) simultaneous linear equations using cross multiplication

Molodets [167]

Answer:

$x=1\,,\,y=-1$

Step-by-step explanation:

Given: $ax+by=a-b\,,\,bx-ay=a+b$

To solve: the given linear equations

Solution:

Consider the equations:

$A_1x+B_1y+C_1=0\\A_2x+B_2y+C_2=0$

By method of cross multiplication:

$\frac{x}{B_1C_2-B_2C_1}=\frac{y}{C_1A_2-C_2A_1}=\frac{1}{A_1B_2-A_2B_1}$

For equations: $ax+by=a-b\,,\,bx-ay=a+b$

$ax+by-(a-b)=0\\bx-ay-(a+b)=0$

Take $A_1=a\,,\,B_1=b\,,\,C_1=-(a-b)\,,\,A_2=b\,,\,B_2=-a\,,\,C_2=-(a+b)$

So,

$\frac{x}{-b(a+b)-a(a-b)}=\frac{y}{-b(a-b)+a(a+b)}=\frac{1}{-a^2-b^2}\\\frac{x}{-ab-b^2-a^2+ab}=\frac{y}{-ab+b^2+a^2+ab}=\frac{1}{-(a^2+b^2)}\\\frac{x}{-(a^2+b^2)}=\frac{y}{a^2+b^2}=\frac{1}{-(a^2+b^2)}\\\frac{x}{-(a^2+b^2)}=\frac{1}{-(a^2+b^2)}\,,\,\frac{y}{a^2+b^2}=\frac{1}{-(a^2+b^2)}\\x=1\,,\,y=-1$

6 0

3 years ago

4/9+5/6 what is it?HELP!

stiv31 [10]

Answer:

1 5/18

Step-by-step explanation:

4/9 = 8/18

5/6 = 15/18

15/18 + 8/18 = 23/18 = 1 and 5/18

7 0

3 years ago

The Kendal Company manufactures automobile engine parts. Running the manufacturing operations requires 12 watts (units of electr

bazaltina [42]

No parts are manufactures is when x=0 because it is run 0 hours

y=amount of elctricity needed
y=12(0)+24
y=0+24
y=24

24 watts are used on a day when no parts are manufactured

6 0

3 years ago

What shape has eight edges?

wlad13 [49]

Answer:

A rectangular Pyramid

7 0

3 years ago

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