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2 years ago

In a survey of 400 people, 65% sald they owned a dog. How many people own a dog?

Mathematics

1 answer:

muminat2 years ago

5 0

Answer:

260 people own a dog.

Step-by-step explanation:

Think of the equation as this:

65% of 400 people own a dog.

Since "of" in a math equation means to multiply, replace of with a multiplication sign.

65% * 400 = 260 people own a dog.

To check you're answer, make the fraction 260/400 into a percent.

260/400 = 65%

Have a nice day!!! ;D

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PIT_PIT [208]

Option (b) is your correct answer.

Step-by-step explanation:

$\large\underline{\sf{Solution-}}$

Given Trigonometric expression is

$\rm :\longmapsto\:\dfrac{sin\theta }{1 + cos\theta }$

So, on rationalizing the denominator, we get

$\rm \: = \: \dfrac{sin\theta }{1 + cos\theta } \times \dfrac{1 - cos\theta }{1 - cos\theta }$

We know,

$\purple{\rm :\longmapsto\:\boxed{\tt{ (x + y)(x - y) = {x}^{2} - {y}^{2} \: }}}$

So, using this, we get

$\rm \: = \: \dfrac{sin\theta (1 - cos\theta )}{1 - {cos}^{2}\theta }$

We know,

$\purple{\rm :\longmapsto\:\boxed{\tt{ {sin}^{2}x + {cos}^{2}x = 1}}}$

So, using this identity, we get

$\rm \: = \: \dfrac{sin\theta (1 - cos\theta )}{{sin}^{2}\theta }$

$\rm \: = \: \dfrac{1 - cos\theta }{sin\theta }$

<u>Hence, </u>

$\\ \red{\rm\implies \:\boxed{\tt{ \rm \:\dfrac{sin\theta }{1 + cos\theta } = \: \dfrac{1 - cos\theta }{sin\theta } }}} \\$

3 0

2 years ago

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I really need help and this not working

Nostrana [21]

Answer:

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Step-by-step explanation:

6 0

2 years ago

Find two integers whose difference is -6. ( There are many!)

olga nikolaevna [1]

Step-by-step explanation:

There are infinitely many such integers.

x - y = -6 <em>add y to both sides</em>

x = -6 + y → x = y - 6

1. Choose any y value.

2. Substitute for the equation.

3. Calculate the value of x.

Examples:

for y = 0 → x = 0 - 6 = -6

check: -6 - 0 = -6

for y = 10 → x = 10 - 6 = 4

check: 4 - 10 = -6

for y = -9 → x = -9 - 6 = -15

check: -15 - (-9) = -15 + 9 = -6

5 0

3 years ago

A circle has a diameter of 10 cm. what is the circumference ?

satela [25.4K]

Answer:

Step-by-step explanation:

All u gotta do is split it in half

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3 years ago

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What's 1/10 at four in the number 42,000

Serhud [2]

42,000 split into 10 is 4,200
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3 years ago