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rusak2 [61]
2 years ago
10

Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 2(m∠Y) − 60°. Find m∠Y.

Mathematics
1 answer:
hodyreva [135]2 years ago
7 0

Answer:

m∠Y=50°

Step-by-step explanation:

So, we know that ∠S+∠Y=90 and that m∠S=2(m∠Y)-60.

If you plug those things into the equation, you get (2[m∠Y]-60)+m∠Y=90.

Then you multiply 2 and m∠Y: 2m∠Y-60+m∠Y=90.

Combine like terms: 3m∠Y-60=90.

Then you add 60 to both sides: 3m∠Y=150

Divide 3 on both sides: 3∠Y=50

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18% intrest

Step-by-step explanation:

8 0
2 years ago
Un empresario contrata a 16 obreros para realizar un trabajo y a cada uno le paga 385 €. Si el empresario quiere ganar 892 €. ¿C
OverLord2011 [107]

Answer:

7052€

Step-by-step explanation:

Si el empresario quiere gana 892€, primero tiene que encontrar el valor total a pagar a los 16 obreros y sumarle a ese valor la ganancia que quiere obtener:

Valor total a pagar a los obreros: 385€*16= 6160€

Valor a cobrar por el trabajo: 6160+892= 7052€

De acuerdo con esto, si el empresario quiere ganar 892 €, debe cobrar 7052€ por el trabajo.

5 0
3 years ago
the price of bread went from 1.50 per loaf to 2.50 per loaf in four years. find the rate of change of the price of bread
Talja [164]

Answer:

I think the answer is 1 I really hope this helps

Step-by-step explanation:


3 0
3 years ago
Find the range from 4 to -2 A. 2 B. 4 C. 6 D.-2
Scilla [17]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ The range is the highest value minus the smallest value

Therefore, you just need to subtract the two values to find the values:

-2 - 4 = -6

The difference is just 6, so your answer is C. 6

<h3><u>✽</u></h3>

➶ Hope This Helps You!

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7 0
3 years ago
Read 2 more answers
Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.5 and a mean diameter of 205
Crank

Answer:

P(205-0.3=204.7

z=\frac{204.7-205}{\frac{1.5}{\sqrt{79}}}=-1.778

z=\frac{205.3-205}{\frac{1.5}{\sqrt{79}}}=1.778

So we can find this probability:

P(-1.778

And then since the interest is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.3 inches using the complement rule we got:

P = 1-0.9243 = 0.0757

Step-by-step explanation:

Let X the random variable that represent the diamters of interest for this case, and for this case we know the following info

Where \mu=205 and \sigma=1.5

We can begin finding this probability this probability

P(205-0.3=204.7

For this case they select a sample of n=79>30, so then we have enough evidence to use the central limit theorem and the distirbution for the sample mean can be approximated with:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{\bar x-\mu}{\frac{\sigma}{\sqrt{n}}}

And we can find the z scores for each limit and we got:

z=\frac{204.7-205}{\frac{1.5}{\sqrt{79}}}=-1.778

z=\frac{205.3-205}{\frac{1.5}{\sqrt{79}}}=1.778

So we can find this probability:

P(-1.778

And then since the interest is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.3 inches using the complement rule we got:

P = 1-0.9243 = 0.0757

6 0
2 years ago
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