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3 years ago

Simplify -4 + 2x + 8x

Mathematics

1 answer:

ycow [4]3 years ago

5 0

Combine like terms

− 4 + 2 + 8

− 4 + 1 0

Rearrange terms

− 4 + 1 0

1 0 − 4

Solution

1 0 − 4

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The three angles of a triangle are in the ratio of 2:3:5. calculate the size of the biggest angle.

Inessa05 [86]

Answer:

80°

Step-by-step explanation:

The sum of the angles of a triangle is always 180°.

∴ 2x + 3x + 5x = 180°

10x = 180°

x = 180 / 10

x = 18

The biggest angle = 5x

= 5 * 18

= 90°

Hope this answer was helpful!!

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4 years ago

A one-way trolley ticket to Old Town costs

MA_775_DIABLO [31]

Answer:

$28

Step-by-step explanation:

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2 × $3.50 = $7.00

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3 years ago

Rationalise the denominator of (12)/(\sqrt(10)+\sqrt(7)+\sqrt(3))

jasenka [17]

Answer:

$\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210} }{21 }$

Step-by-step explanation:

$\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }$

$=\frac{12\left( \sqrt{10} -\left( \sqrt{7} +\sqrt{3} \right) \right) }{(\sqrt{10}+(\sqrt{7} +\sqrt{3 } ))( \sqrt{10} -( \sqrt{7} +\sqrt{3}))}$

$=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{10^2} -(\sqrt{7} +\sqrt{3})^2}$

$\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{10-(10+2\sqrt{21} )} }$

$=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{-2\sqrt{21} }$

$=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{21} }$

$=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{21} } \times\frac{\sqrt{21} }{\sqrt{21} }$

$=\frac{-6\sqrt{21} \left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{21 }$

$=\frac{-6\sqrt{210} +6\sqrt{147} +6\sqrt{63} }{21 }$

$=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210} }{21 }$

Remark:

You can simplify moreover if you want to.

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3 years ago

1. Nasir borrowed $420 for six months with $77 monthly payments.

scoundrel [369]

Answer: 52 and 793.25

Step-by-step explanation:

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