The terminal side of an angle θ in standard position is in quadrant 1. If sinθ=0.8, find cosθ.

Answers

Answer 1

Answer:

[tex]cos\theta=\frac{3}{5}[/tex]

Step-by-step explanation:

Since [tex]sin\theta=0.8[/tex] is the same as [tex]sin\theta=\frac{4}{5}[/tex] and [tex]sin\theta=\frac{opposite}{hypotenuse}[/tex], then we know that the side opposite to the angle [tex]\theta[/tex] is 4 units and the hypotenuse is 5 units.

Because [tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex], then we have to find the adjacent side to the angle [tex]\theta[/tex] using the Pythagorean Theorem:

[tex]a^2+b^2=c^2\\\\(adjacent)^2+(opposite)^2=(hypotenuse)^2\\\\(adjacent)^2+4^2=5^2\\\\(adjacent)^2+16=25\\\\(adjacent)^2=9\\\\adjacent=3[/tex]

Therefore, since the adjacent side is 3 units, then [tex]cos\theta=\frac{3}{5}[/tex]


Related Questions

This Is due tomorrow I really need the help, please make the answer short and simple

Answers

Answer:

Step-by-step explanation:

21.019=d

21.019+4=25.019 ft of rope

25.019x.45=11.26

He willpay $11.26 for the rope

What is the volume of this sphere?
Use a = 3.14 and round your answer to the nearest hundredth.
2 in

Answers

Answer:

33.49 cubic inches

Step-by-step explanation:

the volume of a sphere is represented by (4/3)pi(r)^3

pi is 3.14 and r is 2

so 4/3(3.14)(2^3)

2^3 is also 8

4/3(3.14)(8)

the final answer is 33.4933333

OR when rounded it is 33.49

Statement:

The radius of the sphere is 2 inches.

To find out:

The volume of the sphere.

Solution:

Radius (r) = 2 inπ we have to consider as 3.14.We know, volume of a sphere [tex] = \frac{4}{3} \pi \: {r}^{3} [/tex]Therefore, the volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {(2)}^{3} \: \: cubic \: \: inches \\ = \frac{4}{3} \times 3.14 \times 8 \: \: cubic \: \: inches \\ = 33.49 \: \: cubic \: \: inches[/tex]

Answer:

The volume of the sphere is 33.49 cubic inches.

Hope you could understand.

If you have any query, feel free to ask.

The person who started Educational system ,was really educated?

If you have any doubt in maths you can ask ?

Answers

Answer:

me plase me me please meeee

Answer:

Education is started when humans arose in the world.

Step-by-step explanation:

I am unable to understand the laws of sin cosin tan cot sec etc

Write the trinomial as a square of a binomial or as an expression opposite to a square of a binomial: -1 + 4a -4a^2

Answers

Answer:

-(1 - 2a)^2

Step-by-step explanation:

-1 + 4a - 4a^2

= -[1^2 - 2*1*(2a) + (2a)^2]

= -(1 - 2a)^2

Answer:

Step-by-step explanation:

Begin by taking out the minus

-(4a^2 - 4a + 1)     The answer is the square root of the 1st and 3rd terms.

√4a^2 = 2a

√1 = 1                    Since middle term is minus, one of 2a or 1 must also be minus

Usually the one is made minus.

That leaves you with a perfect square

- (2a - 1)^2   There are more ways than 1 to write this, but I think this is the clearest answer

Give an example using the subject of time to describe how to number patterns are related. go math 5th grade 563 9.5

Answers

Answer:

they are related by numbers

if you are going 55 miles per hour how long will it be til you go 70 miles

Answers

Answer

time = 60 miles / (55 miles/hour) = (60/55) (miles/(miles/hour)) = 1.09 hour

Step-by-step explanation:

Speed = distance / time

A bit of algebra will get you the formula

time = distance/speed

Answer:

15sec if its a lamboghihi

Step-by-step explanation:

What’s the correct answer for this question?

Answers

Answer:

30 ounces

Step-by-step explanation:

1 chain = 10 pounds per foot

3inches = ?

therefore

? = 30 ounces

answer both questions and get 20 points and brainliest ​

Answers

Answer:

item 30.

d. 1 ½ as we can see the difference between the each x value is 2 and y value is more of 1 and 2.

items 31.

a. ⅖ as similar to upper question the difference between each x value is 2 and y value is 5 so ⅖

Solve for b.
b
-1 = 5
4
b = 1

Answers

Answer:

B= 16

b/4 - -1 =5 is the same as b/4 + 1 = 5

b/4 + 1 = 5

- 1 both sides

b/4 = 4

x 4 both sides

b=16

16/4 - -1 =5

4 + 1 = 5

- - Means add

+ + Means add

- + Means take away or minus

Hope this helps!

[tex] \frac{b}{4} - ( - 1) = 5 \\ \\ \frac{b}{4} + 1 = 5 \\ \\ \frac{b}{4} = 5 - 1 \\ \\ \frac{b}{4} = 4 \\ \\ b = \frac{4}{4} \\ \\ b = 1.[/tex]

The value of b is 1 .

Vince worked 559 hours in 13 weeks. At what rate did he work in hours per week?

Answers

Answer:

Step-by-step explanation:

43 hours per week i think

Answer:

40 hours per week (40:1)

Step-by-step explanation:

559 / 13 = 39.93

39.93 rounded to the nearest whole number is 40.

Sum of two numbers 80 and difference is 40. Find two
numbers.

Answers

Answer:

The two numbers are 20 and 60

Step-by-step explanation:

Two numbers: x and y

x + y = 80

x - y = 40

x = y + 40

Substitute x

y + 40 + y = 80

2y + 40 = 80

2y = 40

y = 20

Substitute y, so x = 60

i need help woth this quadratics questions, confused, i think the answer is 24 but the answer key says 34​

Answers

Answer:

then it's 34... sometimes I have a hard time understanding a math problem and I feel that... I suggest using Math*way without the (*) it helped me a lot through high school and college check it out see if you like it

Step-by-step explanation:

does anyone know the answer?

Answers

Answer:

Part A: 9.75x > 195

Part B: x > 20

Step-by-step explanation:

Let's say Mark works for x hours. For each hour he works, 9.75 dollars are added to Mark's salary. Therefore, for 1 hour, he gets $9.75, for 2 hours, he gets $9.75 + $9.75 = $9.75 * 2 = $19.50, and for x hours, he gets $9.75 * x as his salary.

We want his salary to be more than $195, so we have $9.75 * x (his salary) > $195, which can be written as 9.75x > 195

divide both sides by 9.75 to solve for x

x > 20

The radius of circular pipe is 12cm,what length of tape is required to wrap once around the pipe(use pie =3.14)​

Answers

Answer:

75.36 cm

Step-by-step explanation:

We need to find the circumference of the pipe.

Circumference of a circle = 2[tex]\pi[/tex]r   (where r is the radius)

Given:

r = 12 cm[tex]\pi[/tex] = 3.14

⇒ circumference = 2 x 3.14 x 12 = 75.36 cm

Graph y=2x-7 (pls hurry!)​

Answers

Put y = 2x - 7 into a graphing website and it'll show you (0, -7), (1, -5).

height of trapezium if the area given is 124
Short base: 12 cm
Long base: 19 cm
Height:?

Answers

Answer:

A= 0.5 x (a+b) x h

124 = 0.5 x (12+19) x h

124 = 15.5 x h

÷15.5

h = 8cm

0.5x(12+19) x 8 does gives 124

Thus, height is 8cm.

Hope this helps!

I will give brainliest to the correct answers! yep that's YOU

Answers

Answer: Yes, because the amount of money you save for every beverage bought is constant, and if you buy 0 beverages, you’ll save $0. That means it the situation is graphed, the line produced will be linear and crosses through the origin, which are the requirements for a proportional relationship.

the diameter of the circle X is 12 centimeters. The diameter of the circle Y is 8 centimeters.
Which measurement is closest to the difference between the circumference of circle X and the circumference of circle Y in centimeters.

Answers

Answer:

20

Step-by-step explanation:

All you do add because it is with even numbers

Question is in the image

Answers

Answer:

A is the correct answer

The ratio of men to women working for a company is 2 to 3. If there are 87 women working for the company, what is the total number of employees?​

Answers

58 men if 2:3

From this 87+53= 145 which means

It will be 145 as the answer!

Please like and brainiest

An equation of the circle with center (h, k) and radius r is (−ℎ)^2+(−)^2=^2

Answers

Answer:

An equation of the circle with center (h, k) and radius r:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Step-by-step explanation:

Not sure what you need to find out but,

An equation of the circle with center (h, k) and radius r:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

For each line, determine whether the slope is positive, negative, zero, or undefined.

Answers

Answer:

1. Undefined

2. Negative

3. Zero

4. Positive

Step-by-step explanation:

1. Undefined, the line moves in both directions vertically. It's impossible to tell what the slope is.

2. Negative, the line is decreasing at a constant rate, the slope is negative.

3. Zero, the line doesn't increase or decrease, therefore the slope is 0. (No changes)

4. Positive, the line is increasing at a large rate, the slope is positive.

Solve the compound inequality x + 6 > 4 and 3x + 5 < 5

Answers

Answer:

[tex]x + 6 > 4 \\ x > 4 - 6 \\ x > - 2 \\ and \\ 3x + 5 < 5 \\ 3x < 5 - 5 \\ 3x < 0 \\ \frac{3x}{3} < \frac{0}{3} \\ x < 0 \\ therefore \\ - 2 < x < 0 [/tex]

A birch tree that is 4 ft tall grows at a rate of 1 ft per year. A larch tree that is 6 ft tall grows at a rate of 0.5 ft per year.

Let the variable t represent time in years and let the variable h represent height in feet.

In how many years will the trees be the same height?

Which system of equations can be used to solve this problem?




{h=1+4th=0.5+6t

{h=4+th=6+0.5t

{h=5th=6.5t

{h=4−th=6−0.5t

Answers

Answer:

h=1+4th=0.5+6t

Step-by-step explanation:

you have to multiply t and h by four and 1 separately

Answer:

H=4+t

H=6+0.5t

Step-by-step explanation:

Took the test the other answer is wrong.

Pllllease help mmmme

Answers

Answer:

21/38

0.553

Step-by-step explanation:

There are 63 married males out of the total 114 males.

So the fraction is 63/114. That is simplified into 21/38

Then divide 38 by 21 to get the decimal form.

38÷21=0.55263...

HELP!!! The number in front of a variable is known as a coefficient. What operation do we assume is in between the number and the variable. Example: 2x o addition O subtraction O multiplication O division​

Answers

Multiplication

2x represents 2 times ‘x’

The movement
Find the Least Common Denominator. Then, express each fraction using the Least Common Denominator.
7/10 and 5/6

Answers

Answer:

LCM of 7/10- 70

LCM of 5/6- 30

Step-by-step explanation:

Solution:

To find the Least common denominator (LCD) of 7/10 and 5/6, we need to find the Least common multiple of 10 and 6.

I found the LCM through division method. Refer to image attached~

We can tell that:

The LCM is 2 x 3 x 5, which when simplified, we obtain 30. The LCD is 30.

Now, let's multiply the denominators and the numerators such that 30 is the denominator in both fractions.

=> 7/10 = 7 x 3/10 x 3 = 21/30=> 5/6 = 5 x 5/6 x 5 = 25/30

The fractions are:

21/30 and 25/30

HELP PLEASE! whats the height and base??

Answers

Answer: 7.5

Step-by-step explanation:

Area of the bottom left triangle = 4x3/2 = 6

Bottom right = 6x3/2 = 9

Top right = 3x4/2 = 6

Top left = 6x3/2 = 9

6+9+6+9 = 30

Each square unit is 4

So the answer should be 30/4 = 7.5

Hope this is correct

given g(x)=5x+3, find g(4)

Answers

Answer:

g(4) = 23

Step-by-step explanation:

g(x)=5x+3, find g(4)

g(4) = 5(4) + 3

g(4) = 20 + 3

g(4) = 23

Hope that helps!

Answer:

[tex] \boxed{g(4) \: is \: 23}[/tex]

Step-by-step explanation:

given :

g(x) = 5x + 3

find g(4)

Answer :

substitute 4 into the equation of function

[tex] g(x) = 5x + 3[/tex]

[tex]g(4) = 5(4) + 3[/tex]

[tex]g(4) = 20 + 3[/tex]

[tex]g(4) = 23[/tex]

A real estate broker sold your house for $189,000 The broker's commission was 4.5% of the selling price. How much would you get for the house after the commission is paid ?

Answers

Answer: $180,495 is the take-home after the broker's commission.

Step-by-step explanation:

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