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2 years ago

The angles of a triangle are in the ratio 2:3:4. Find the angles of the triangle

Mathematics

1 answer:

mash [69]2 years ago

5 0

180/2=90 degree
180/3=60 degree
180/4=45 degree

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He rain caused the river to ride a total of 6 2/3 inches. The river was rising at an average of 2/3 of an inch each hour. How ma

Kobotan [32]

To find out how many hours it rained, divide the total rise in the river by the amount it rose every hour.

$\sf 6\dfrac{2}{3}\div\dfrac{2}{3}$

First convert the mixed number into an improper fraction. We do this by multiplying the denominator to the whole number, adding it to the numerator, which becomes our new numerator, and we keep the denominator the same:

$\sf\dfrac{20}{3}\div\dfrac{2}{3}$

When dividing fractions we flip(the reciprocal) the one we're dividing by and multiply:

$\sf\dfrac{20}{3}\times\dfrac{3}{2}$

Multiply the numerators and denominators together:

$\sf\dfrac{60}{6}$

Simplify by dividing:

$\boxed{\sf 10}$

So it rained for 10 hours.

5 0

3 years ago

REALLY APPRECIATE YOUR HELP Given log x = 3 and log y = 2, prove that x^2 -7xy =3000y

anyanavicka [17]

Answer:

$if \: log(x ) = 3 \\ log_{10}(x) = 3 \\ {10}^{3} = x \\ therfore \to \: \boxed{x = {10}^{3} } \\ \\ if \: log(y ) = 2 \\ log_{10}(y) = 2 \\ {10}^{2} = y \\ therfore \to \: \boxed{y= {10}^{2} }$

Step-by-step explanation:

$x^2 -7xy =3000y \: then \to \\ x^2 =3000y + 7xy \\ {(10 ^{3} )}^{2} = 3000(10)^{2} + 7( {10}^{3} \times {10}^{2}) \\ {10}^{6} = 3000(10)^{2} + 7( {10}^{3} \times {10}^{2}) \\ {10}^{6} = 3000(10)^{2} + 7( {10}^{5} ) \\ {10}^{6} = 300000 + 700000 \\ \boxed{{10}^{6} = 1000000} \\ hence \: the \: equation \to \: x^2 -7xy =3000y \\ \boxed{ is \: corret}$

♨Rage♨

3 0

2 years ago

helium gas accounts for less than 0.01% of Earth's atmosphere gases. write this percentage as a decimal and as a mixed number or

Sphinxa [80]

Answer: 0.01% in decimal form=0.0001 and in fraction form=1/10000

Step-by-step explanation:

Step 1 To convert the percentage in decimal form.

A percentage is a ratio expressed as a fraction of 100.

So, 0.01% means 0.01 out of 100.

Therefore,

0.01%= 0.01/100

0.01%= 0.0001

Step 2: Convert the decimal in fraction form.

Remove the point by dividing by 10000

0.01%= 1/10000

The meaning of the result is that helium account for less than one part per 10000 parts of Earth’s atmosphere gases.

7 0

3 years ago

A right triangle is shown Enter the value of x.

aleksandr82 [10.1K]

Answer:

Step-by-step explanation:

Using $A^2 + B^2 = C^2$, we know that $A = 6$ and $B = 8$. $8^2 = 64$ and $6^2 = 36$. $64 + 36 = 100$, and $√100 = 10$.

4 0

2 years ago

Read 2 more answers

Someone plz help 7(x-4)-3x+2=3x-2-x what is x

il63 [147K]

Simplify 7(x-4)-3x+2x:

4x-26=3x-2-x

Subtract x from 3x:

4x-26=2x-2

Move all terms containing x to the left:

2x-26=-2

Move all terms not containing x to the right:

2x=24

Divide by 2 and simplify:

x=12

7 0

2 years ago