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2 years ago

In △WXY , WX=14.1 inches, WY=7.8 inches, and m∠W=52∘ .

Mathematics

1 answer:

Ghella [55]2 years ago

8 0

Answer:

43.3 square inches

Step-by-step explanation:

Given two sides a and b and the angle α between them, the area of the triangle can be computed as ...

A = (1/2)ab·sin(α)

Putting the given values into the formula gives ...

A = (1/2)(14.1 in)(7.8 in)sin(52°) ≈ 43.3 in²

The area of the triangle is about 43.3 square inches.

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ben needs to convert 500 US dollars to the japanese yen. one american dollar is worth 123.3 yen. how many yen will he have

laiz [17]

Answer:

The correct answer is 61,650 Yens

Step-by-step explanation:

US$ in cash that Ben has = 500

Exchange rate (US$/Yen) = 1 : 123.3

For calculating the total amount in Yens that Ben has, we use this formula:

Yens in Cash = US$ in Cash * Exchange rate given

Yens in Cash = 500 * 123.3

Yens in Cash = 61,650

After converting the US$ 500 Ben has, he will receive Yens 61,650

6 0

1 year ago

Liam volunteers to help plan the event. The first month, he volunteered for x hours. The next month, he volunteered for 1 2/3 ti

Eddi Din [679]

Answer:

Hours in first month = 8

Step-by-step explanation:

AS it is given

He volunteered fr the first month = x hours

He volunteered for the second month = 12/3 times of first month

which will be = 12/3 * x

Total Hours volunteered = 40 hours

Now according to the given conditions

Volunteered first month + volunteered second month = total

putting this gives

x + 12/3 8 x = 40

as 12/3 = 4 so

it becomes

x + 4x = 40

solcing it will gives

5x = 40

x = 40/5

x = 8

So Numbers of hours worked in first month are 8

I hope this help you! :)

6 0

1 year ago

Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of

Gelneren [198K]

Answer:

$P(X < 24 )= 21.186\%$

$x = 19.78 \ months$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 26 \ months$

The standard deviation is $\sigma = 4 \ months$

Generally 2 year is equal to 24 months

Generally the percentage of total production will the company expect to replace is mathematically represented as

$P(X < 24 )= P(\frac{X - \mu }{ \sigma} < \frac{24 - 26}{4} )$

Generally $\frac{X - \mu}{\sigma } =Z (The \ standardized \ value \ of \ X )$

$P(X < 24 )= P(Z < -0.8 )$

Generally from the z-table

$P(Z < -0.8) = 0.21186$

$P(X < 24 )= 0.21186$

Converting to percentage

$P(X < 24 )= 0.21186 * 100$

=> $P(X < 24 )= 21.186\%$

Generally the duration that should be the guarantee period if Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

$P(X < x) = P(\frac{X - \mu }{\sigma} < \frac{x - 26}{4} )= 0.06$

=> $P(X < x) = P(Z < \frac{x - 26}{4} )= 0.06$

From the normal distribution table the z-score for 0.06 at the lower tail is

$z = -1.555$

$\frac{x - 26}{4} = -1.555$

=> $x = 19.78 \ months$

6 0

1 year ago

Zula has a conical bird feeder with a volume of 64.3 cubic centimeters and a height of 7 centimeters. Which equation can be used

Ulleksa [173]

Answer:

16.075 is the answer.

Step-by-step explanation:

16.075 is the answer. I hope this helps. You divide

64.3/7

=16.075

6 0

2 years ago

Read 2 more answers

A professor, transferred from Toronto to New York, needs to sell his house in Toronto quickly. Someone has offered to buy his ho

I am Lyosha [343]

Answer:

(a) = 40%

(b) = 28%

Standard deviation = $7,216.88

Step-by-step explanation:

This is a normal distribution with a = 210,000 and b =235,000

(a) The probability that he will get at least $225,000 for the house is:

$P(X\geq 225,000) =1 -\frac{225,000-a}{b-a} =1-\frac{225,000-210,000}{235,000-210,000} \\P(X\geq 225,000) =0.4= 40\%$

(b)The probability he will get less than $217,000 is:

$P(X\leq 217,000) =\frac{217,000-a}{b-a} =\frac{217,000-210,000}{235,000-210,000} \\P(X\leq 217,000) =0.28= 28\%$

(c) The expected value (E) and the standard deviation (S) are:

$E=\frac{a+b}{2}=\frac{210,000+235,000}{2}\\ E=\$222,500\\S=\frac{b-a}{\sqrt{12}}=\frac{235,000-210,000}{\sqrt{12}}\\S=\$7,216.88$

4 0

2 years ago