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Delvig [45]
3 years ago
15

Given: △KPS m∠P=105°, m∠S=30° PS=12 Find: PK.

Mathematics
1 answer:
Jobisdone [24]3 years ago
7 0

Answer:

 PK=8.49m

Explanation:

We have sine formula

     \frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}

By sine formula we have

    \frac{PS}{sinK} =\frac{PK}{sinS} =\frac{KS}{sinP}

    We have PS = 12, ∠P=105° and ∠S=30°, so ∠K=180°-(105°+30°)=45°

 Substituting

        \frac{12}{sin45} =\frac{PK}{sin30} \\ \\ PK=8.49m      

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D=33 what is the circumference
zmey [24]

Answer:

103.6726

Step-by-step explanation:

C=2πr

radius is half of diameter, so its 16.5

2* 3.14*16.5

C=103.62

103.6726 to be exact.

4 0
3 years ago
8x+5y=16 8x+10y=56 what strategy could you apply to use the linear combination method to solve the system?
Sidana [21]

Answer:

elimination

Step-by-step explanation:

7 0
2 years ago
Suppose that a company prints baseball cards. They claim that 30% of the cards feature rookies, 60% feature veterans, and 10% fe
liraira [26]

Answer:

H0: The distribution of players featured on the cards is 0.30 rookies, 0.60 veterans, and 0.10 All-Stars.

Ha: At least one of the proportions in the null hypothesis is false.

Step-by-step explanation:

On this case we need to apply a Chi squared goodness of fit test, and the correct system of hypothesis would be:

H0: The distribution of players featured on the cards is 0.30 rookies, 0.60 veterans, and 0.10 All-Stars.

Ha: At least one of the proportions in the null hypothesis is false.

And in order to test it we need to have observed and expected values. On this case we  can calculate the Expected values like this

E_{rookies}=50*0.3=15

E_{veterans}=50*0.6=30

E_{All stars}=50*0.1=5

The observed values are not provided. The statistic on this case is given by:

\chi^2 =\sum_{i=1}^n \frac{(O_i) -E_i}{E_i}

And this statistic follows a chi square distribution with k-1 degrees of freedom on this case k=3, since we have 3 groups.

We can calculate the p valu like this:

P(\chi^2 > \chi^2_{calculated})=p_v

And if the p value it's higher than the significance level we FAIL to reject the null hypothesis. In other case we reject the null hypothesis.

5 0
3 years ago
Nancy bought 570 crayons that came in packs of 15 how many packs of crayons did Nancy buy​
Finger [1]

Answer:

The answer to your question is 38 packs

Step-by-step explanation:

Data

570 crayons

packs of 15 crayons each

total number of crayons = ?

Process

To solve this problem just divide the number of crayons by the number of crayons in each pack.

                           38

                    15  570

                        -45

                          120

                        - 120

                              0

Conclusion

Nancy bought 38 packs to have 570 crayons.

3 0
3 years ago
How to write 24.357 in express unit form?
nignag [31]
(2x10)+(4x1)+(3x1/10)+(5x1/100)+(7x1/1000)
<span>1/10,1/100,1000 are fractions

Hope I Helped!!!</span>
8 0
3 years ago
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