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2 years ago

The Pythagorean Identity states that:

Mathematics

1 answer:

Oksi-84 [34.3K]2 years ago

7 0

Answer:

1/2

Step-by-step explanation:

According to pythagoras theorem;

(sinx)²+(cosx)² = 1

Given that sinФ = √3/2

Substitute into the formula

(√3/2)²+(cosx)² = 1

3/4+(cosx)² = 1

(cosx)² = 1 - 3/4

(cosx)² = 1/4

cos x = √1/4

cos x = 1/2

Hence the value of cosФ is 1/2

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Solve for t. (Answer must be completely simplified) 10t=11

AlexFokin [52]

Answer:

T can be equal to 1 1/10 or 1.1 or 11/10

Step-by-step explanation:

10t=11

So divide by 10 on both sides.

t=11/10 which can be simplified to t=1 1/10 or t=1.1

4 0

2 years ago

The table gives the average age of airplanes per airline at Camila’s local airport. By what percent is the number of airlines wi

VladimirAG [237]

The percentage that the number of airlines with an average airplane age of 14 is less than the number of airlines with an average airplane age of 11 is:

B. 20%.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

$P = \frac{a}{b} \times 100\%$

The percentage of airlines with an average age of 14 years is:

$P = \frac{2}{15} \times 100\% = 13.33\%$

The percentage of airlines with an average age of 11 years is:

$P = \frac{5}{15} \times 100\% = 33.33\%$

The difference is:

33.33% - 13.33% = 20%.

Hence option B is correct.

More can be learned about percentages at brainly.com/question/10491646

#SPJ1

6 0

2 years ago

The sum of three consecutive odd numbers is 69. What is the biggest number?

ohaa [14]

Answer:

25 is the answer

Step-by-step explanation:

21 23 25

6 0

3 years ago

HELP PLEASE WILL MARK BRAINLIEST!!

Arte-miy333 [17]

Answer:

Answer is option d)346.4 ft

Step-by-step explanation:

$from \: the \: figure \\ AB = 300 \: ft \: \: \: angle \: C = 60 \:( theta)\: degress \\ in \: triangle \: ABC \: using \: tan \: theta\\ \tan(60) = \frac{opposite \: side}{adjacent \: side} \\ \tan(60) = \frac{300}{BC} \\ \sqrt{3} = \frac{300}{BC} \\ BC = \frac{300}{ \sqrt{3} } \\ BC = 100 \sqrt{3} ft \\ then \: in \: triangle \: ABD \: using \: tan \: theta \\ angle \: D = 30 \: degrees \: (theta) \\ \tan(30 ) =\frac{opposite \: side}{adjacent \: side} \\ \tan(30) = \frac{300}{BD} \\ \frac{1}{ \sqrt{ 3} } = \frac{300}{BD} \\ BD = 300 \sqrt{3} \\ CD = BD - BC \\ = 300 \sqrt{3 } - 100 \sqrt{3} \\ = (300 - 100) \sqrt{3} \\ = 200 \sqrt{3 } \\ = 200 \times 1.732 \\ = 346.4 \: ft$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

7 0

3 years ago

-2 (4t-3)+6t=5t-2 solve

ElenaW [278]

-8t+6+6t=5t-2
-2t+6=5t-2
-2t-5t=-2-6
-7t=-8
-7 -7
T=1.14 or 1 1/7

8 0

3 years ago