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Aliun [14]
3 years ago
14

........................

Mathematics
1 answer:
Vsevolod [243]3 years ago
6 0
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3uv<br> ——- help with answer?<br> 4v
wariber [46]

Answer:

1674831727833771724X

6 0
3 years ago
Which statements are true? Select all that apply.
AveGali [126]

cosθ = cotθ/cscθ is a true statement. The answer is option B

<h3>How to determine which of the trigonometric statements are true?</h3>

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles

A. tan²θ = 1 - sec²θ

tan²θ = 1 - sec²θ  

tan²θ = 1 - 1/cos²θ               (Note: sec²θ  = 1/cos²θ)

tan²θ = (cos²θ- 1)/cos²θ

tan²θ =  -sin²θ/cos²θ            (Note: cos²θ- 1  =  -sin²θ)

tan²θ = -tan²θ

This statement is not true

B. cosθ = cotθ/cscθ

cosθ = cotθ/cscθ

cosθ = (1/tanθ) / (1/sinθ)

cosθ = (cosθ/sinθ).sinθ

cosθ = cosθ

This statement is true

C. 1/sec²θ   = sin²θ + 1  

1/sec²θ   = 1/(1/cos²θ)

1/sec²θ  = cos²θ

1/sec²θ  = 1 - sin²θ

This statement is not true

D. sec²θ - 1 = 1/cot²θ  

sec²θ - 1 = 1/cos²θ - 1

sec²θ - 1 = (1-cos²θ)/cos²θ

sec²θ - 1 = sin²θ/cos²θ

sec²θ - 1 = tan²θ

This statement is not true

E. sinθ cscθ  = tan θ  

sinθ cscθ  = tan θ

sinθ cscθ = sinθ (1/sinθ)

sinθ cscθ = 1  

This statement is not true

Therefore, the true statement is cosθ = cotθ/cscθ

Learn more about Trigonometry on:

brainly.com/question/29529966

#SPJ1

7 0
2 years ago
The value of a new car decreases by about 15% in the first year. How much will a car be worth after one year if its initial valu
Masja [62]

Answer:

(a)

$850.

(b)

$4250.

(c)

$4267.

Step-by-step explanation:

It is given that the value of a new car decreases by about 15% in the first year.

(a)

Now we are asked to find the cost of a car after one year; if we are given the initial value of car=$1000.

As the rate decreases by 15%.

that means we have to pay (100-15)% of the initial amount.

i.e. we have to pay 85% of the initial amount.

Hence the amount one has to pay= 85% of 1000.

which is equal to =85%×1000

⇒   =\dfrac{85}{100}\times 1000\\\\=85\times 10\\\\=850

Hence, the amount of car after one year when initaial amount is $1000 is:

$850.

(b)

if initial amount=$ 5000

then amount one has to pay after one year:

85\%\times 5000\\ \\=\dfrac{85}{100}\times 5000\\\\=4250

Hence, the amount of car after one year when initaial amount is $5000 is:

$4250.

(c)

if initial amount=$ 5020

then amount one has to pay after one year:

85\%\times 5020\\ \\=\dfrac{85}{100}\times 5020\\\\=4267

Hence, the amount of car after one year when initaial amount is $5020 is:

$4267.

7 0
3 years ago
The data below are times (in seconds) recorded when statistics students participated in an experiment to test their ability to d
RoseWind [281]

Answer:

Mean = 58.25

Median = 57.5

Mode = 49

Step-by-step explanation:

We are given the following data set:

55, 51, 74, 61, 67, 60, 49, 49

Formula:

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{466}{8} = 58.25

Sorted data:

49, 49, 51, 55, 60, 61, 67, 74

Mode is the entry with highest frequency.

49 appeared two times.

Mode = 49

Formula:

Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}

\text{Median} = \dfrac{55+60}{2} = 57.5

All these are less than 60 seconds, which indicates that students perceive 1 minute to pass sooner than it actually has.

8 0
3 years ago
What is the answer for 4x-5=5x-5
jasenka [17]
0....

4x-5x=-5+5
-x=0
 x=0
8 0
4 years ago
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