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2 years ago

Evaluate the following. (iii) sin 30° + tan 40° - cosec 60° / cot 45° + cos 60° - sec 30°

Mathematics

1 answer:

bearhunter [10]2 years ago

4 0

Sin 30 = 1/2

tan 45 = 1

Cosec 60 = 2 / √3 = 2√3 / 3

cot 45 = 1

Cos 60 = 1/2

sec 30 = 2 / √3 = 2√3 / 3

_______________________________

[ 1/2 + 1 - 2√3/3 ] ÷ [ 1 + 1/2 - 2√3/3 ] = <em>1</em>

The face and denominator of the fraction are exactly the same thus the answer is 1 .

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Priscilla received 240 votes in the election for student council president. That was 60% of the students who voted in the electi

stira [4]

Answer:

400 students voted in the election

Step-by-step explanation:

Given:

Total number of votes received by Priscilla = 240

This was 60% of the students who voted in the election.

To find: Total number of students who voted in the election

Solution:

Total number of votes received by Priscilla = 60% of Total number of students who voted in the election

240 = 60% of Total number of students who voted in the election

240 = $\frac{60}{100}$ × Total number of students who voted in the election

So,

Total number of students who voted in the election $=\frac{240(100)}{60}=400$

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2 years ago

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Answer: the answer is A

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2 years ago

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A town recently dismissed 9 employees in order to meet their new budget reductions. The town had 7 employees over 50 years of ag

raketka [301]

Answer: 0.1340

Step-by-step explanation:

The binomial distribution formula is given by :-

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where P(x) is the probability of x successes out of n trials, p is the probability of success on a particular trial.

Given : The number of employees over 50 years of age =7

The probability of employees over 50 years of age = $\dfrac{7}{7+15}=0.318$

Number of dismissed employees : n= 9

Now, the required probability will be :

$P(x =1)=^{9}C_1(0.318)^{1}(1-0.318)^{9-1}\\\\=(9)(0.318)(1-0.318)^{8}=0.133950588714\approx0.1340$

Thus, the probability that exactly 1 employee was over 50 = 0.1340

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2 years ago

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ss7ja [257]

I think it might be x

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2 years ago

Madison has set up a lemonade stand outside her house and sells small cups and large cups of lemonade. Each small cup holds 12 o

Troyanec [42]

Answer:

$12x+22(y+10)=1240, y=x$

small cups=30

large cups=40

Step-by-step explanation:

let x be the number of small cups and y the number of large cups.

-Given that 10 more cups than small cups of lemonade were sold:

$12x+22(y+10)=1240$

#Before the 10 more were sold, the number of x and y sold were equal>

$x=y\\\\\therefore 12x+22(x+10)=1240\\\\12x+22x+220=1240\\\\34x=1240-220\\\\34x=1020\\\\x=30$

The number of small cups sold was 30

#Since, the number of large cups was 10 more, y=x+10=30+10=40

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Evaluate the following. (iii) sin 30° + tan 40° - cosec 60° / cot 45° + cos 60° - sec 30°​

Evaluate the following. (iii) sin 30° + tan 40° - cosec 60° / cot 45° + cos 60° - sec 30°