Mathematics College

A line through the origin and (10,4) is showin in the standard (x,y) coordinate plane below. The acute angle between the line and the positive x-axis has measure θ.

A Line Through The Origin And (10,4) Is Showin In The Standard (x,y) Coordinate Plane Below. The Acute

Answers

Answer 1

Answer:

[tex]\cos\theta=\frac{10}{\sqrt{116}}[/tex]

Step-by-step explanation:

To solve this, we can imagine a line drawn directly down from the point (10,4) to the x-axis. This would make a right triangle with length 10 and height 4.

[tex]\cos\theta[/tex] is equal to the length of adjacent leg to the angle divided by the length of the hypotenuse of the triangle. From the picture, we can see the adjacent leg is 10.

We can use Pythagorean's Theorem to find the hypotenuse (let [tex]c[/tex] represent the length of the hypotenuse):

[tex]10^2+4^2=c^2[/tex]

[tex]100+16=c^2[/tex]

[tex]116=c^2[/tex]

[tex]c=\sqrt{116}[/tex]

Thus, we know the adjacent is 10, and the hypotenuse is [tex]\sqrt{116}[/tex]. This means [tex]\cos\theta=\frac{10}{\sqrt{116}}[/tex].

Hope this helps!

Related Questions

A pumpkin was launched from a catapult on top of a 30-foot platform. The graph shows the height in feet of the pumpkin above the ground as a quadratic function of x, the horizontal distance in feet of the pumpkin from the platform
What is the domain of the function for this situation?


A. 0 ≤ x ≤ 226


B. 30 ≤ y ≤ 80


C. 0 ≤ y ≤ 80


D. 30 ≤ x ≤ 226

Answers

Answer: 21

Step-by-step explanation:

30-7x+:85 horiztioal 90 degrees=21

PLEASE HELP ITS URGENTZ

Answers

Answer: 68

Step-by-step explanation:

(2z-60)+(2z-16) = 180

4z-76 = 180

4z=256

z=64

2(64) - 60

128-60

68

pop quiz I have a head and tail no body and no legs and you can flip me

Answers

Answer:

coin us the right anwser

Let x= −1. Evaluate the function for y. y=7.2x+3

Answers

Answer:

y = -4.2

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

1. 8(x+7)
!!!!!!!!!!!!!!!!!!!!!

Answers

USE M A T H W A Y FOR THE ANSWER
x=-7

Distribute
8•x + 8•7
8x+56

Solve for x
8x = -56
8x/8 = -56/8
x = -7

The arrows in the diagram below represent equal forces acting on balls that are resting on a table. Which of the balls will be accelerated if the forces are applied? 

A.Ball one
B.Ball two
C.Ball three
D.Ball four​

Answers

Answer:

Ball 3

Step-by-step explanation:

Answer:

Ball three

Have a good day.

Find values of x and y that satisfy both equations 2x + y = 11 and x + 2y = 10​

Answers

Answer: (4, 3)

Explanation:
2(4) + 3 = 11
8 + 3 = 11
AND
4 + 2(3) = 10
4 + 6 = 10

Sandra used her debit card to buy lunch for $8.74 on Monday. On Tuesday, she deposited $8.74 back into her account. What is the overall increase or decrease in her bank account?

Answers

if i am correct it is gonna be 0$

Answer:

The answer should be 0.

Please help me, I dont have a lot of time left.​

Answers

Answer:

y = 3x -3

Step-by-step explanation:

The volume of a rectangular prism can be represented by the expression 216x^3y^2. If the length is 8 y and the width is 9 x , what is the height of the rectangular prism?
2 x^2y
2 x^3y^2
3 x^2y
3 x^3y^2

Answers

Answer:

h= 216x^3y^2÷(8yx9X) = 3x^2y

Joan has 48 muffins which he needs to box up into dozens how many boxes does she need

Answers

Answer:

Step-by-step explanation:

one dozen will hold 12 muffins

48/12=4 boxes

1 dozen = 12 muffins

? dozens = 48 muffins

48/12 = 4 boxes

Hope this helps

NEED ANSWER ASAP 100 POINTS

Answers

Given:

Event A : the card has the number 8

Event B : the card is blue

The probability of each events are given as:

P (A) = 1/10

P (B) = 1/4

P(A and B) = 1/10 x 1/4 = 1/40

From thea above information, we can see that the outcome of the event A cannot affect the outcome of the event B.

Therefore, the two events are independent.

Given:

Event A : the card has the number 8

Event B : the card is blue

The probability of each events are given as:

P (A) = 1/10

P (B) = 1/4

P(A and B) = 1/10 x 1/4 = 1/40

From thea above information, we can see that the outcome of the event A cannot affect the outcome of the event B.

Therefore, the two events are independent.

An equilateral triangle with side lengths of 10 units is translated 4 units to the right. What is the length of one side of the triangle
after translation, in units?

Answers

Answer:

43.301

Step-by-step explanation:

please help.me out with this question ​

Answers

Answer:

i can't see the question make sure its not blur

Answer:

download the app

Photomath

Can someone please help

Answers

Answer:

I think it is 26 and 2

Step-by-step explanation:

39÷6=6.5

4×6.5=26

13÷6.5=2

2 and 26 is the answer

if i have 6 oranges and 7 apples in the other what do i have

Answers

uh....what? That made no sense

Is my answer right. Or should I change my answer so I can get a higher grade

Answers

The answer is “No” because the line is not proportional.

Answer:

Answer First choice NO

Step-by-step explanation:

Direct Relationship

Two variables x and y have a direct relationship if the function that relates them is written as:

y = kx

Where k is the constant of proportionality.

The graph of such function is a straight line passing through the origin (0,0).

The graph does not show a direct relationship because it has the shape of a curve, not a straight line.

Answer First choice NO

Which points on the graph represent equivalent ratios?
Check all that apply.
A
B
С
D
E

Answers

Answer:

A B C E are the correct ones

im doing the same assignment currently

Answer:

A, B, C, and E

Step-by-step explanation

I'm also doing the same question rn and I got it correct.

-4(p-212)=44 can someone please help with this question

Answers

Answer:

my algebra calculator says the answer is

p=201

Answer:

p = 201

Step-by-step explanation:

In this question, you would solve for the variable "p".

Solve:

-4(p - 212) = 44

Use the distributive property to distribute the -4.

-4p + 848 = 44

Subtract 848 from both sides to get -4p by itself.

-4p = -804

Divide both sides by -4 to get "p" by itself.

p = 201

Your final answer would be p = 201

Can you show that this is a parallelogram? Explain if you agree or disagree.

Answers

Answer:

yes

Step-by-step explanation:

yes because parallelogram are a flat shape with opposite sides parallel and equal in length. 

A pair of shorts are £15 in a 40%. What was the non-sale price

Answers

Answer:

£10.71

Step-by-step explanation:

Given the original price including discount od shorts = £15

Percent discount = 40%

Original price = x

Using the expression to calculate x

x + (40%of x) = 15

x +0.4x = 15

1.4x = 15

x = 15/1.4

x = £10.71

Hence the non sale price is £10.71

. An Olympic runner completed a 100-meter race with a time of 12.5 seconds. What was her average speed?

Answers

So you would do 100 divided by 12.5 and that equals 8. So the answer would be 8mph

Which of the following must be true if the triangles are congruent?
AB II DC
AB I BC
DB bisects ABC
None of the statements above must be true.

Answers

Answer:

Third option is the correct answer

Step-by-step explanation:

[tex] \overline {DB} \:bisects \:\angle ABC[/tex]

Confusion plz help me.

Answers

nigcbkhgetghtf bjhgfc

Answer:

1.  b, 2 d. 3. e, 4. g, 5. a 6.j

Step-by-step explanation:hope this helps

Is this true or false? Explain your thinking.
4(5 +3) =(4 x 5) + (4 x 3)= 20 +12

Answers

Answer:

True

Step-by-step explanation:

Answer:

TRUE

Step-by-step explanation:

GIVEN

can you help with What times 4/5 equals 3/10

Answers

Answer:625

Step-by-step explanation: 45 x 310= 625

Rewrite the following polynomial in standard form.
5
X 2
-6- — - x
2

Answers

Answer:

[tex]-\frac{x^{5} }{2} - x^{2} -6[/tex]

Step-by-step explanation:

[tex]-\frac{x^{5} }{2}[/tex] has the greatest degree and is, therefore, the first term in the equation.

-[tex]x^{2}[/tex] has the second greatest degree and is the second term in the equation.

-6  has the lowest degree so it is the last term.

please help me thank you

Answers

Answer:

Step-by-step explanation:

Answer:

X=52      y=128

Step-by-step explanation:

Simplify this expression. -24 1/2 + 16.15 - 4

Answers

Answer:

-12.35

Step-by-step explanation:

This should be the answer. If not, let me know. If so, brainliest??

Every 7 days a plant grows 4 centimeters. Complete the table.

Answers

day 1  4 cm

day 2  8 cm

day 3  12 cm

day 4  16 cm

day 5  20 cm

day 6  24 cm

day 7  28 cm

????

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