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3 years ago

Share £747 in the ratio 2:7 between Tom and Ben. Tom will get £ Ben will get £

1 answer:

5 0

<em> $tom \: will \: get \:£166 \\ ben \: will \: get \: £581\\ solution \\ let \: the \: ratios \: be \: 2x \: and \: 7x \\ 2x + 7x = 747 \\ or \: 9x = 747 \\ or \: x = \frac{747}{9} \\ x = £83 \\ replacing \: value \\ 2x \\ = 2 \times 83 \\ = 166 \\ 7x \\ = 7 \times 83 \\ = 581 \\ hope \: it \: helps$ </em>

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Integers that are not whole numbers are

sammy [17]

Negative numbers. Remember that whole numbers are 0 and positive numbers.

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2 years ago

Let f(x)=3x2−5x+13 and g(x)=2x−7 . What is g(f(x)) ?

grigory [225]

Option B: $6x^2-10x+19$ is the correct answer

Step-by-step explanation:

Given functions are:

$f(x) = 3x^2-5x+13\\g(x) = 2x-7$

We have to find g(f(x))

So,

$g(f(x)) = 2(f(x))-7\\= 2(3x^2-5x+13)-7\\=6x^2-10x+26-7\\= 6x^2-10x+19$

Hence,

Option B: $6x^2-10x+19$ is the correct answer

Keywords: Functions, Composition

Learn more about functions at:

#LearnwithBrainly

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3 years ago

What Is The Length Of Each Leg Of The Triangle Below

kicyunya [14]

Use a ruler. I can't see the picture.

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3 years ago

Read 2 more answers

A regular polygon has 15 sides. Which is a possible angle of rotational sym

coldgirl [10]

Answer: if i did my math correctly, 72 degrees is ur answer.

Step-by-step explanation:

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3 years ago

Given that Cosecant (t) = negative StartFraction 13 Over 5 EndFraction for Pi less-than t less-than StartFraction 3 pi Over 2 En

Sergio [31]

Answer:

$\bold{cot(t) =\dfrac{12}{5}}$

Step-by-step explanation:

Given that:

$Cosec (t) = -\frac{13}5$

for $\pi < t < \frac{3 \pi}2$

That means, angle $t$ is in the 3rd quadrant.

To find:

Value of cot(t)

Solution:

First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.

In 3rd quadrant, tangent and cotangent are positive.

All other trigonometric ratios are negative.

Let us have a look at the following identity:

$cosec^2\theta -cot^2\theta =1$

here, $\theta =t$

So, $cosec^2t-cot^2t=1$

$\Rightarrow (-\dfrac{13}{5})^2-cot^2t=1\\\Rightarrow (\dfrac{169}{25})-cot^2t=1\\\Rightarrow \dfrac{169}{25}-1=cot^2t\\\Rightarrow \dfrac{169-25}{25}=cot^2t\\\Rightarrow \dfrac{144}{25}=cot^2t\\\Rightarrow cot(t)=\pm\sqrt{\dfrac{144}{25}}\\\Rightarrow cot(t)=\pm\dfrac{12}{5}$

But, angle $t$ is in 3rd quadrant, so value of

$\bold{cot(t) =\dfrac{12}{5}}$

4 0

3 years ago