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3 years ago

Carson has a collection of 220 coins. How many coins represent 20% of his collection?

Mathematics

2 answers:

tatuchka [14]3 years ago

6 0

Answer:

The answer is 44

Step-by-step explanation:

If we think 1/5 of 220 is 44 which 1/5 is 20%

vesna_86 [32]3 years ago

5 0

Answer:

Step-by-step explanation:

Because 0.20 which is 20% multiplied by 220 is equal to 44

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Please help.<br> Name the segments parallel to the given segment :/

labwork [276]

RS||XZ
XY||TS

RS is Parallel to XZ
XY is Parallel to TS

5 0

3 years ago

If a and b are two angles in standard position in Quadrant I, find cos(a+b) for the given function values. sin a=15/17and cos b=

tensa zangetsu [6.8K]

The value of $cos(a+b)$ for the angles $a$ and $b$ in standard position in the first quadrant is $-\frac{36}{85}$

We need to find the value of $cos(a+b)$ . To proceed, we need to use the compound angle formula

<h3>Cosine of a sum of two angles</h3>

The cosine of the sum of two angles $a$ and $b$ is given below

$cos(a+b)=cos(a)cos(b)-sin(a)sin(b)$

We are given

$sin(a)=\dfrac{15}{17}\\\\cos(b)=\dfrac{3}{5}$

We need to find $sin(b)$ and $cos(a)$ , using the identity

$sin^2(\theta)+cos^2(\theta)=1$

To find $sin(b)$ , note that

$sin^2(b)+cos^2(b)=1\\\\\implies sin(b)=\sqrt{1-cos^2(b)}$

substituting $\frac{3}{5}$ for $cos(b)$ in the identity, we get

$sin(b)=\sqrt{1-cos^2(b)}\\\\=\sqrt{1-\left(\dfrac{3}{5}\right)^2}=\dfrac{4}{5}$

To find $cos(a)$ , note that

$sin^2(a)+cos^2(a)=1\\\\\implies cos(a)=\sqrt{1-sin^2(a)}$

substituting $\frac{15}{17}$ for $sin(a)$ in the identity, we get

$cos(a)=\sqrt{1-sin^2(a)}\\\\=\sqrt{1-\left(\dfrac{15}{17}\right)^2}=\dfrac{8}{17}$

<h3>Find the value of cos(a+b)</h3>

We can now make use of the formula

$cos(a+b)=cos(a)cos(b)-sin(a)sin(b)$

to find $cos(a+b)$ .

$cos(a+b)=cos(a)cos(b)-sin(a)sin(b)\\\\=\dfrac{8}{17}\cdot\dfrac{3}{5}-\dfrac{15}{17}\cdot\dfrac{4}{5}=-\dfrac{36}{85}$

Learn more about sine and cosine of compound angles here brainly.com/question/24305408

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2 years ago

Richard is 5 years older than Shelia. Three more than four times Sheila age is 2 less than 3 times Richards age . how old is eac

Arada [10]

Richard is 15 and sheila ie 10. put the equations :r=s+5 and 4s+3=3r-2 and then solve

6 0

4 years ago

Read 2 more answers

What is cosD, in simplest form? 15 points

Lina20 [59]

The answer is A aka 3/5

3 0

3 years ago

Read 2 more answers

Subtract.<br> (-9r - 3) - (7r - 1)<br> Submit

harina [27]

Answer:

-16r -2

Step-by-step explanation:

plz brainliest :)

do you want an explanation?

8 0

3 years ago