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3 years ago

Find the angle of XZY

Mathematics

1 answer:

qaws [65]3 years ago

8 0

Answer:

Step-by-step explanation:

<h3>to understand the solving steps</h3><h3>you need to know about</h3>

trigonometry i.g sin(x)=opp/hypo
PEMDAS

<h3>given:</h3>

opp:6
hypo:15

xyz angle

<h3>let's solve:</h3>

$let \: xyz \: angle \: be \: \alpha$

$according \: to \: the \: question$

$\sin( \alpha ) = \frac{xy}{zy}$

$\sin( \alpha ) = \frac{6}{15}$

$\alpha = asin( \frac{6}{15} )$

$\alpha = {23.6}^{o}$

therefore

<h3>xyz angle=23.6°</h3>

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A local gym had 490 members last quarter. This quarter, with a change in its rates, it has 686 members. What is the percent of i

sergij07 [2.7K]

Given:

Number of gym members in last quarter = 490

Number of gym members in this quarter = 686

To find:

The percent of increase in the number of members.

Solution:

We have,

Number of gym members in last quarter = 490

Number of gym members in this quarter = 686

Now, the percent of increase in the number of members.

$\%\text{ of increase}=\dfrac{{Members in this month - Members in last month}}{\text{Members in last month}}\times 100$

$\%\text{ of increase}=\dfrac{686-490}{490}\times 100$

$\%\text{ of increase}=\dfrac{196}{490}\times 100$

$\%\text{ of increase}=\dfrac{2}{5}\times 100$

$\%\text{ of increase}=2\times 20$

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Therefore, the gym members increased by 40%.

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3 years ago

The candy store is having a 30% off sale.Emma is going to buy $7.50 worth candy. How much will she pay after the discount?

MissTica

Answer:

$5.25.

Step-by-step explanation:

That is $7.50 - 30% of 7.50

= 7.50 - 0.30 * 7.50

= $5.25.

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4 years ago

If x=-4 and y=3 what is the value of x-3y^2<br><br>a: -13<br>b: -31<br>c: -23<br>d: -85

Alexandra [31]

Answer:

b -31

Step-by-step explanation:

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3 years ago

Read 2 more answers

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sesenic [268]

I think it's a 1/16 chance

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4 years ago

Solve for x: 2x^5/3-22=464 a) x = 28 b) x = 27 c) x = ±27 d) x = ±28

Effectus [21]

Answer:

Step-by-step explanation:

Given the expression ${2x^{\frac{5}{3} }-22 = 464$ , we are to find the value of x in the expression. This is as shown below;

${2x^{\frac{5}{3} }-22 = 464$

add 22 to both sides

${2x^{\frac{5}{3} }-22 = 464+22\\\\$

${2x^{5/3} =486$

divide both sides by 2

$\frac{2x^{5/3}}{2} =\frac{486}{2}\\ x^{5/3} = 243$

raise both sides to the power of 3/5

$(x^{5/3})^{3/5} = (243)^{3/5}\\x = (\sqrt[5]{243}) ^3\\x = 3^3\\x = 27$

Hence the value of x is 27

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3 years ago