solve for the value of k

Answer:

A) sin θ = 3/5

B) tan θ = 3/4

C) csc θ = 5/3

D) sec θ = 5/4

E) cot θ = 4/3

Step-by-step explanation:

We are told that cos θ = 4/5

That θ is the acute angle of a right angle triangle.

To find the remaining trigonometric functions for angle θ, we need to find the 3rd side of the triangle.

Now, the identity cos θ means adjacent/hypotenuse.

Thus, adjacent side = 4

Hypotenuse = 5

Using pythagoras theorem, we can find the third side which is called opposite;

Opposite = √(5² - 4²)

Opposite = √(25 - 16)

Opposite = √9

Opposite = 3

A) sin θ

Trigonometric ratio for sin θ is opposite/hypotenuse. Thus;

sin θ = 3/5

B) tan θ

Trigonometric ratio for tan θ is opposite/adjacent. Thus;

tan θ = 3/4

C) csc θ

Trigonometric ratio for csc θ is 1/sin θ. Thus;

csc θ = 1/(3/5)

csc θ = 5/3

D) sec θ

Trigonometric ratio for sec θ is 1/cos θ. Thus;

sec θ = 1/(4/5)

sec θ = 5/4

E) cot θ

Trigonometric ratio for cot θ is 1/tan θ. Thus;

cot θ = 1/(3/4)

cot θ = 4/3

Answer:

t = 35/12

Step-by-step explanation:

t - 7/4 = 2/5 t

t = 2/5 t + 7/4

t - 2/5 t = 7/4

t*(1-2/5) = 7/4

t*3/5 = 7/4

t = (7/4)/(3/5)

t = 7*5/4*3

t = 35/12

Answer:

120 and 144

120÷24=5

144÷24=6

The value that represents the Inter-Quartile Range of data is 26.

Option A is the correct answer.

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

From the boxplot, we can see that,

Third quartile = 46

First quartile = 20

Now,

Interquartile range

= Third quartile - First quartile

= 46 - 20

= 26

Thus,

The value that represents the Inter-Quartile Range of data is 26.

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Answer:

p1=2(3+6)p1=18p2=2(30+60)p2=180p2/p1=180/18=10c. The perimeter will be 10 times the original.  More

Answer:

The perimeter will be 10 times the original.

Step-by-step explanation:

Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 1, 1 ]

f(b) = f(1) = 3 ← value of y when x = 1

f(a) = f(- 1) = [tex]\frac{1}{3}[/tex] ← value of y when x = - 1

average rate of change = [tex]\frac{3-\frac{1}{3} }{1-(-1)}[/tex] = [tex]\frac{\frac{8}{3} }{2}[/tex] = [tex]\frac{4}{3}[/tex]

Answer:

the answer is 648 bc when you multiply all the answer one at a time you would get 648

I would try and help but I think it's missing the picture

Answer:

x = 17

Step-by-step explanation:

(17+1) 2 - 36 = 0

If you don't think this is right, you may clarify it by plugging it in and multiplying :) thank you for your time <3

Answer:

x=17

Step-by-step explanation:

Answer:

[tex]C(h)=120*2^h[/tex]

Step-by-step explanation:

[tex]C(h)=120*2^h[/tex]

Doubling needs a base of 2, and the original number will need to be multiplied by two.

I don't know how to explain so I'm going to just give an example.

After an hour the original number doubles so 120*2

After two hours: 120*2*2

After 3 hours: 120*2*2*2

2*2 can also be written as [tex]2^2[/tex]

and 2*2*2 can be written as [tex]2^3[/tex]

So the number of hours passed is the exponent, and the base is 2 because the original number is being doubled.

Answer:

32x - 28 is the answer

Step-by-step explanation:

g(f(x)) = 8(4x - 4) + 4

32x - 32 + 4

The final answer then becomes

32x - 28

Answer:

architect built a scale model of a new house using a scale in which 1.5 inches represents 3 feet. The height of the house is 21 feet. What is the height of the scale model

The value of the height of the scale model in inches is,

⇒ 10.5 inches

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

An architect built a scale model of a new house using a scale in which 1.5 inches represents 3 feet.

And, The height of the house is 21 feet.

Now, We get;

The value of the height of the scale model in inches is,

⇒ 1.5 / 3 x 21

⇒ 1.5 x 7

⇒ 10.5 inches

Thus, The value of the height of the scale model in inches is,

⇒ 10.5 inches

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Answer:

23

Step-by-step explanation:

Answer:

perimeter= 8+8=16 units

area = 16+8=24 sq units

Answer:

x=4

Step-by-step explanation:

since its a square, the diagonals cut the right angle in half, so 45

6x - 21 = 45

6x = 24

x=4

Annually compoudning interest formula

PV(1+i)ⁿ

4000(1+.0775)¹⁰=8437.869021

which rounds to

$8437.87

If you were to do this on a financial calculator it would look like this:

N=10

I/Y=7.75

PV=4000

PMT=0

CMPT FV = same answer

The probability that at least 16 of them like to hike would be equal to 46% So, option B is correct.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

In a group of 40 students, the probability that at most 15 of them like to hike is 54%. we need to find the probability that at least 16 of them like to hike.

The probability that at most 15 of them like to hike = 54%

Let the total possibility be 100%

then 100 - 54 = 46%

Therefore, the remaining possibility is the probability for at least 16 of them like to hike.

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Answer:D

Step-by-step explanation:(5,5)

Answer:

(5,5)

Step-by-step explanation:

Just took the test

Answer:

The rate of change is 1

Step-by-step explanation:

The rate of change is the same as the slope, the ratio of the change in y over the change in x. In this case, the slope is 1, making the rate of change also 1.

Answer:

y = 5x - 1

Step-by-step explanation:

Given the following data;

Intercept = -1

Slope = 5

To find the equation of line;

Equation of straight line is y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

Substituting the values in order to find the intercept, we have;

y = mx + 1

y = 5x - 1

Answer:

remove 4/10

20/100=20/100= 1 which is x

Step-by-step explanation:

Mrk ME BRAINLIEST PLZZZZZZZZZZ

Answer:

2.9

Step-by-step explanation:

The answer is 2.9

Step by step:

Answer:

Step-by-step explanation:

Algebra Examples

Popular Problems Algebra Graph y=7x-8

y

=

7

x

−

8

Use the slope-intercept form to find the slope and y-intercept.

Tap for more steps...

Slope:  

7

y-intercept:  

(

0

,

−

8

)

Any line can be graphed using two points. Select two  

x

values, and plug them into the equation to find the corresponding  

y

values.

Tap for more steps...

x

y

0

−

8

8

7

0

Graph the line using the slope and the y-intercept, or the points.

Slope:  

7

y-intercept:  

(

0

,

−

8

)

x

y

0

−

8

8

7

0

y=7x-8

Answer:

120  bud

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Initially, there were 80 runners in the race. After the first half, 1/5 of them dropped out (given). Therefore, 4/5*80=64 runners remain. In the second half, 5/8 of these 64 runners drop out, meaning 3/8*64=24 runners finished the race.

Answer:

Ok this time sense you want explanation i give you it your welcome. -7 1/2 reduces to -15/2 and -15/2 + 2 = -5 1/2 or -11/2

Answer:

-Exact form: 11/2

Answer:

25y+15

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

5(7y+3)

Step-by-step explanation:

Answer:

B, the mean is less than the range

Step-by-step explanation:

mean is 3.38 (rounded)

mode is 3

median is 3

range is 5

The mean is 3.38 and the range is 5, So the mean is less than the range. Option B is the correct one.

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Mean = [tex]\frac{1+5+2+3+4+6+3+1+3+4+3+5+4}{13}[/tex]

The mean is 3.38 (rounded)

Median represents the middle value of the given data when arranged in a particular order.

So, the Median would be 3.

Mode is that number that appears most frequently in the given set of data.

So, the Mode would be 3.

The range of a given set of data is the difference between the largest value and the smallest value.

So, the range would be 5

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Answer:

1,50 2,100 4,150 8,400

Step-by-step explanation:

multiply each number by the time (days)

Answer:1,50 2,100 4,200 8,400

Step-by-step explanation:

If 1=50 then 2=100 just repeat that easy