Find the acute angle between the lines. 5x ? y = 2, 6x + y = 6

Answers

Answer 1

Answer:

Acute angle Ф = 20.77° (Approx)

Step-by-step explanation:

Given:

5x - y = 2

6x + y = 6

Find:

Acute angle

Computation:

5x - y = 2

6x + y = 6

So,

y = 5x - 2.....eq1

y = -6x + 6......eq2

Slop line y = mx + c

On comparison

m1 = 5 , m2 = -6

So,

TanФ = I(m1-m2)/(1+m1m2)I

TanФ = I(5+6)/(1-30)I

TanФ = 11/29

Ф = 20.77° (Approx)

Acute angle Ф = 20.77° (Approx)


Related Questions

How can you tell if a number is prime or compsite

Answers

Answer:

A prime number doesn't have any factors besides one and itself. For example, 17 is a prime number because you can't multiply anything to get 17 besides 17 and 1 (excluding decimals).

Composite numbers are numbers that have other factors other than 1 and themselves. Example: 12 is a composite number because you can multiply 3 by 4 to get 12, or 2 by 6 to get 12, not just 12 times 1.

A dessert recipe calls for 2 1/2 cups of milk and makes 5 servings. How many cups of mild are needed for 8 servings

Answers

Answer:ok

Step-by-step explanation:

n   jjbjnujg6t6ugyg  ffvjnjg

Step-by-step explanation

knjjbvfghjk,mn cxsertyuj

15. A new television's regular price is $800. It is on sale with a 15% discount. Ms. Adams buys the
television on sale and pays an 8% sales tax. What was the total cost of the television?

Answers

Answer:

734.4

Step-by-step explanation:

800 * 0.85=680

680 * 1.08=734.4

find the value of x showing your steps. identify the postulate that allowed you to solve for x.​

Answers

Answer:

x = 14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality Properties

Geometry

CongruencyAll angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Define

3(x + 7)° = 63°

3(x + 7)° + 63° + y° = 180°

Step 2: Solve for x

Divide 3 on both sides:                    x + 7 = 21Subtract 7 on both sides:                 x = 14

Is
Find a polynomial that represents the area of the
square.
9x + 3
The area is represented by a
(Simplify your answer.)

Answers

Answer:

Area for square is the product of 2 sides. So (9x+3)(9x+3)=81x^2 + 54x + 9

Simplify it by dividing all of the numbers by 9. So,

it'd be 9x^2 + 6x + 1

Factor the polynomal 4x3+8x2+12x.

Answers

Answer:4(3+4+3x)

Step-by-step explanation: This simplifies to 12+16+12x. The GCF is 4. So if you factor out 4, your answer will be 4(3+4+3x).

Your last visit is to the famous tourist attraction, the one and only Empire State Building! Your Boss wants you to double check your coworker’s measurements to determine if the scale drawing replicated is proportional to the actual Empire State Building.
Lastly, your Boss wants to know if your coworker’s scale drawing is an enlargement or reduction? Your coworker’s dimensions are 5.15 by 6.30 square feet. While the Empire State Building is 7.21 by ________________. What is the missing measurement of the side?Is this an enlargement or reduction?Explain why.

(Please explain thoroughly step by step how you solved the problem.If you can,please provide an image of how you solved the problem.)

Answers

Answer:  8.82

Work Shown:

(5.15)/(6.30) = (7.21)/(x)

5.15*x = 6.30*7.21 ....... cross multiply

5.15x = 45.423

x = (45.423)/(5.15) ...... dividing both sides by 5.15

x = 8.82



Colleen is 15 years from retiring. She opens an account at the Savings Bank. She plans to deposit
$10,000 each year into the account, which pays 1.7% interest, compounded annually.
a. How much will be in the account in 15 years?
b. How much interest would be earned?
Please put how to work it out!!!!

Answers

9514 1404 393

Answer:

  a) $169,234.59

  b) $19,234.59

Step-by-step explanation:

The first question you must answer is whether Colleen will earn interest on her first deposit in the first year. That is, does she deposit the money at the first of the year or the end of the year?

The usual "annuity" formula assumes the deposit is at the end of the year, so no interest at all is earned on the last deposit made. If the deposit is at the first of the year, an "annuity due" formula is used, that multiplies the entire ending account value by the annual multiplier, 1.017 in this case.

__

a) Assuming an "annuity", the formula is ...

  A = P((1 +r)^t -1)/r . . . . . for annual compounding at rate r for t years

  A = $10,000(1.017^15 -1)/0.017 = $169,234.59 . . . . ending balance

__

b) Colleen has made 15 deposits of $10,000, for a total of $150,000, so the amount of interest earned is ...

  $169,234.59 -150,000 = $19,234.59 . . . . interest earned

Betty and Sally are 28 miles apart on a path when they start moving toward each other. Betty runs at a constant speed of 6 miles per hour, and Sally walks at a constant speed of 2 miles per hour. How long does it take until they meet?

Answers

Answer:

3.5 hours

Step-by-step explanation:

if you multiply 6 and 2 by 3.5, then add them you get 28

Plz help! Will give Brainliest!!!

Answers

it’s m did i get it right?

Which statement best describes how people within a country may be different?

People know that each region has the same traditions and culture.
People from different regions have different cultures, values and languages.
People believe that people from each region are equal to one another.
People think that mountainous regions are more important than others.

Answers

Answer:

its B People from different regions have different cultures, values and languages.

Step-by-step explanation:

i just took the assignment

also i got it right thx to my notes

what are the common factors of 99 and 36

Answers

Answer:

9

Step-by-step explanation:

Just like finding the GCD.

Answer:

The common factor of 99 and 36 is 9!

Step-by-step explanation:

jxnjdjdjbdjsbjdjsnx helpp :)​

Answers

Answer: 3

Step-by-step explanation:

Help i just wanna play overwatch and I CANT DO THAT if it isnt completed pls help

Answers

Answer:

why overwatch tho

Step-by-step explanation:

Answer:

why not call of duty or something dud

Step-by-step explanation:

A server sees 84 customers over 6 hours. How many customers did they see in 1 hour?

Answers

Answer: 14 customers

Step-by-step explanation: Right now, you can set up an equation that looks something like this. 6h=84 (h means hours). To find the number of customers in one hour, all you have to do is isolate h on one side of the equation. To do this, just divide both sides by 6 and you should get h=14. So in one hour, this particular server sees 14 people. Hope this helps! :)

what is the best estimate of the product 3 1/3 x 5/6​

Answers

Answer:

8.611111

Step-by-step explanation:

brainliest plz

A recipe for 30 cookies calls for 6 tablespoons of butter. How many tablespoons of butter would you need for 45 cookies?

Answers

Answer:

9 tablespoons

Step-by-step explanation:

cut the recipe in half then add one half to the full

6+3=9

i bake a lot i had to learn how to do this

Answer: 9 tablespoons

Step-by-step explanation:

You are going to find the unit rate...

6 tablespoons of butter/30 cookies=0.2 tablespoons per cookie so....

0.2*45=9 tablespoons of butter for 45 cookies

The value of 4 + 44/10 + 404/100 +
444/1000 + 4/10000 is ?

a) 12.8844
b) 12.8804
c) 12.8224
d) 12.8944​

Answers

Answer:

12.8844

the answer is (a)12.8844

a is the correct answer.......

What is the value of the triangle?
7*= 8*

Answers

Answer:

The equation will be:

7*8 = 8*7

Step-by-step explanation:

We need to find the values of triangle.

The given equation is:

7*____ = 8*____

It can be solved using commutative law of addition that states that:

[tex]a*b=b*a[/tex]

In the given equation we have:

a = 7 and

b = 8

So, the equation will be:

7*8 = 8*7


5x+y=-24
x + 3y = -2

Answers

Answer: in point form (-5,1) in equation form: x=-5,y=1

Step-by-step explanation:

What percentage of a dollar is: 2 dimes, 3 nickels, and 2 pennies? *

Answers

Answer:

37%

Step-by-step explanation:

2 dimes = 20 cents, or 20%

3 nickels = 15 cents, or 15%

2 pennies = 2 cents, or 2%

20+15+2 = 37

186 = 6 (3n + 7) answer for N

Answers

n=8 is the correct answer

Answer:

n = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

186 = 6(3n + 7)

Step 2: Solve for n

Divide 6 on both sides:                    31 = 3n + 7Isolate n term:                                   24 = 3nIsolate n:                                            8 = nRewrite:                                             n = 8

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Substitute in n:                    186 = 6(3(8) + 7)Multiply:                               186 = 6(24 + 7)Add:                                     186 = 6(31)Multiply:                               186 = 186

Here we see that 186 does indeed equal 186.

∴ n = 8 is the solution to the equation.

Sumbody help me out with this

Answers

Answer:

the answer is c

Step-by-step explanation:

Convert the decimal to a fraction.
0.5 =
Repeating

Answers

Answer:

1/2

Step-by-step explanation:

If there is exactly the same number from each side in which the other side is doubled, it is exactly 0.5 also 1/2.

which statement is true about the function f(x)= -x?
The domain of the graph is all real numbers.
The range of the graph is all real numbers.
The domain of the graph is all real numbers less than or equal to 0.
The range of the graph is all real numbers less than or equal to 0.

Answers

Answer:

Step-by-step explanation:

The domain of the graph is all real numbers.

The one that has the domain of all real numbers

Simplify t8/t3 and m8/m3

Answers

Answer:

[tex] \frac{t8}{t3} \\ divide \: by \: t \\ = \frac{t8 \div t}{t3 \div t} \\ = \frac{8}{3} \\ 2 \frac{2}{3} [/tex]

[tex] \frac{m8}{m3} \\ divide \: by \: m \\ = \frac{m8 \div m}{m3 \div m} \\ = \frac{8}{3} \\ = 2 \frac{2}{3} [/tex]

Answer:

1) [tex]t^{5}[/tex]

2) [tex]m^{5}[/tex]

Step-by-step explanation:

1) [tex]\frac{t^{8} }{t^{3} } = t^{8-3} = t^{5}[/tex]

2) [tex]\frac{m^{8} }{m^{3} } = m^{8-3} = m^{5}[/tex]

1274 divded by 14 whatttt is itttt plssss helppp asappp

Answers

1274 divided by 14 equals 91, see attachment below

1274 divided by 14 ? = 91

Tell whether { (1,2) (3,4) (4,3) (2,1) } is a function.

Answers

Yes because all the Y s are different
I think it is 4,3 because I've seen it as one so therefore 4,3

Paula owns a shoe store in Los Angeles. Whenever she orders a new style of shoe, she orders 5 pairs of that style in each of the most popular sizes. The most popular sizes are 6, 7, 8, 9, and 10. She also orders 3 pairs in size 5 and 3 pairs in size 11.
For every new style, how many pairs of shoes does she need to order in total?

Answers

She orders 5 pair in 5 different sizes:

5 x 5 = 25 pair

She orders 3 pair in 3 different sizes:

3 x 3 = 9 pair

Total pairs = 25 + 9 = 34 pair.

$225 for 25 books would be how much per book?​

Answers

Answer:

the answer is 9 i think you have to divide

It’s 9$ per book
U have to divide 225/25 and it will give u 9$ per book
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