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2 years ago

Find the missing lengths of the sides

Mathematics

1 answer:

Vadim26 [7]2 years ago

8 0

$\bold{ANSWER:}$
OPTION B

$\bold{SOLUTION:}$

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A scale map says that 1 cm represents 10 km. What distance on the map (in centimeters) represents an actual distance of 360 km?

castortr0y [4]

Answer:

36 cm

Step-by-step explanation:

1cm = 10 km

360km/10km=36

1x36=36

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2 years ago

When and how do you use logarithms to solve exponential equations? give an example of an exponential equation that does not requ

tatuchka [14]

$\bf 5^{x+3}=\cfrac{1}{125}\implies 5^{x+3}=\cfrac{1}{5^3}\implies 5^{x+3}=5^{-3}
\\\\\\
\textit{because the bases are the same, the exponents must also be the same}
\\\\\\
x+3=-3\implies \boxed{x=-6}\\\\
-------------------------------\\\\
3^x=4^{2x}\implies log(3^x)=log(4^{2x})\implies xlog(3)=(2x)log(4)
\\\\\\
\cfrac{x}{2x}=\cfrac{log(4)}{log(3)}\implies \cfrac{1}{x}=\cfrac{log(4)}{log(3)}\implies \cfrac{log(3)}{log(4)}=x\implies \boxed{0.79248125\approx x}$

6 0

2 years ago

Paul has $30,000 to invest. His intent is to earn 15% interest on his investment. He can invest part of his money at 8% interest

jeka94

Answer:

Amount invested at 8% is $9000 and amount invested at 18% is $21000.

Step-by-step explanation:

Let amount invested at 8% be x.

Let amount invested at 18% be y.

We get the 1st equation as:

$x+y=30000$ ........(1)

We get the second equation as:

$0.08x+0.18(y)=0.15\times30000$

=> $0.08x+0.18y=4500$

or getting rid of the decimal by multiplying by 100 on both sides.

$8x+18y=450000$ ........(2)

Multiplying (1) by 8 and subtracting from (2) we get

$10y=210000$

So, y = 21000

And $x+21000=30000$

$x = 30000-21000$

So, x = 9000

Therefore, amount invested at 8% is $9000 and amount invested at 18% is $21000.

6 0

3 years ago

Saj wants to go to all 19 home games at a football club.

Andreyy89

Answer:

£153

Step-by-step explanation:

If Saji bought a normal ticket for all 19 games, they would have to make 19 payments of £28. So, 28*19 would let us know that he would spend £532 in total. Then it's simply 532-379 to find the answer.

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2 years ago

Use the Angle Addition Postulate to find the measure of the unknown angle

Artyom0805 [142]

Answer:

Hey there!

Step-by-step explanation:

This is ur answer....

Hope it helps!

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3 0

1 year ago