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vodka [1.7K]
3 years ago
10

For every pound a company spends on advertising, it spends 43 pence

Mathematics
1 answer:
irakobra [83]3 years ago
8 0

Answer:

20:9

Step-by-step explanation:

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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC =16 and DC=5 what is the length of BC in the simplest ra
Nana76 [90]

The length of BC is 4 \sqrt{5}.

Solution:

Given ABC is a right triangle.

AC is the hypotenuse and BD is the altitude.

AB and BC are legs of the triangle ABC.

AC = 16 and DC = 5

<u>Leg rule of geometric mean theorem:</u>

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{AC}{BC}=\frac{BC}{DC}$

$\Rightarrow \frac{16}{x}=\frac{x}{5}$

Do cross multiplication.

\Rightarrow  16\times 5 = x\times x

\Rightarrow  80= x^2

\Rightarrow  16\times 5= x^2

Taking square root on both sides.

\Rightarrow  \sqrt{16\times 5} = \sqrt{x^2}

\Rightarrow  \sqrt{4^2\times 5} = \sqrt{x^2}

square and square roots get canceled, we get

\Rightarrow  4\sqrt{ 5} = x

The length of BC is 4 \sqrt{5}.

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3 years ago
If a is directly proportional to b/2 and a=1 when b=10, what is the value of a when b=35
iris [78.8K]
The value of a would be 3.5, as a=1 when b=10 means that a is worth 1/10 of b's value. 
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Answer: A

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Order each set of fractions as indicated: 1/9, 1/20, 1/25, 1/2, 1/50
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Use the least common denominator (LCD) to write these fractions as equivalent fractions with like denominators, and then compare them two at a time
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If the average weight of sophomore boys in Arizona is 140 pounds with a standard
yKpoI14uk [10]

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Light

Step-by-step explanation:

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