find acute angle between the line 2x+4y=7 and x+2y=5

Answers

Answer 1

Answer:

arctan(4/3) ≈ 0.9272

Step-by-step explanation:

On comparing eqⁿ to y = mx + c,

Slope of 2x + 4y = 7 is -2/4 = - 1/2

Slope of x + 2y = 5 is - 1/2

Therefore, if A is the angle b/w them,

A = arctan | (m1 + m2)/(1 - m1m2) |

A = arctan | (-½ - ½)/(1 - ¼) |

A = arctan (4/3)


Related Questions

What's the area of a trapezoid

Answers

Answer:

A=27 square units

Step-by-step explanation:

find nth term of -15,-18,-21.....

Answers

Answer:

I think the question is from Sequence.

on the basis that I have studied I think this is the way. if I am wrong sorry

Solve for n 20 > -4x - 8

Answers

Answer:

x > -7

Step-by-step explanation:

20 + 8 > -4x

Simplify

28 > -4x

Divide both sides by 4

-28/4 < x

-7 < x

x > -7

Find the derivative of f(x) = 6 divided by x at x = -2

Answers

Answer: x=-3

Step-by-step explanation:

i don't really know if this is what I was supposed to do, but i did 6 divided by x=-2 and got x=-3

how many lakhs are there in 2 millions?​

Answers

Answer:

2,000,000 - 2 million

20,00,000 - 20 lakhs

Answer:

10 lakh = 1,000,000

So 20 lakh is = 2 million

Hope it helps!

A drawbridge rises at a constant rate. It takes 1 1/2 minutes for the drawbridge to rise 3/10 of its total height. How much time, in minutes, does it take for the drawbridge to reach its total height?

Group of answer choices

1/5

9/20

20/9

5

Answers

9/20 this is the answer I hope I helped !

Classify the triangle by sides and angles.

Answers

Answer:

c) right isosceles triangle

Step-by-step explanation:

two equal sides and a 90 degree angle make a right isosceles triangle

what is the pattern rule for 1. 25, 1, 0.75, 0.50,0.25

Answers

Answer:

-0.25n + 1

Step-by-step explanation:

Difference between all numbers: -0.25

Hence,

[tex]t_n = -0.25n + 1[/tex]

Feel free to mark it as brainliest :D

Find perimeter of polygon :

Pls explain answer

Answers

Answer:

270

------

6 x 9 = 54

54 x 5 = 270

=270

Step-by-step explanation:

Answer:

270


Step by step:

Ezzzzzzzz

helpppppppppppppp make your answer clear please ( no links)

Answers

The answer is: 312 (Squared)

Step-by-step explanation:

(2×6 is 12. 12×2 is 24. Top and Bottom)

(12×6 is 72. 72×4 is 288. Both sides+Front and back)

(Adding those up would be: 288+24 = 312)

NEED ANSWERS ASAP THREE POINTERS
Scatter plot project
Below are the average three-point field goals per NBA game over seasons between 1979 and 2019. (The year refers to the
year each season began. For example, 2019 refers to the 2019-2020 season.) Create a scatter plot of the data. Then, write
a detailed analysis of what your scatter plot shows about the relationship of the variables. Include details about
correlation, whether or not the data is linear, any outliers, and how your scatter plot might be used to make predictions
3 Point Field
3 Point Field
3 Point Field
3 Point Field
Year Goals per Year Goals per Year Goals per
Year Goals per
Game
2019
12.1
2008 6.6
1998 4.5
1988 2.1
Game
Game
Game
2018
11.4
2007
6.6
1997
4.4
1987
1.6
2017
10.5
2006
6.1
1996
6
1986
1.4
2016
9.7
2005
5.7
1995
5.9
1985
0.9
2015
8.5
2004
5.6
1994
5.5
1984
0.9
2014
7.8
2003
5.2
1993
3.3
1983
0.6
2013
7.7
2002
5.1
1992
3
1982
0.5
2012
7.2
2001
5.2
1991
2.5
1981
0.6
2011
6.4
2000
4.8
1990
2.3
1980
0.5
2010
6.5
1999
4.8
1989
2.2
1979
0.8
2009
6.4

Answers

You’re welcome stranger

50 POINTS!!!!!!
Which transformation causes the described change in the graph of the function f(x)=sin(x)? Options for all include sin(x)-7, sin(x)+7, sin(x-7), sin(x+7)
The transformation ______ results in a vertical shift down.
The transformation _______ results in a horizontal shift left.
The transformation _____ results in a vertical shift up.
The transformation _______results in a horizontal shift right.

Answers

Answer: The transformation sin(x)-7 results in a vertical shift down.

The transformation sin(x+7) results in a horizontal shift left.

The transformation sin(x)+7 results in a vertical shift up.

The transformation sin(x-7) results in a horizontal shift right.

Step-by-step explanation:

Transformation:

If f(x) is a function then

f(x)+k is a vertical shift k units upwards.

f(x)-k is vertical shift k units downwards.

f(x-h) is horizontal shift h units rightwards.

f(x+h) is horizontal shift h units leftwards.

So,

The transformation sin(x)-7 results in a vertical shift down.

The transformation sin(x+7) results in a horizontal shift left.

The transformation sin(x)+7 results in a vertical shift up.

The transformation sin(x-7) results in a horizontal shift right.

Answer:

Answer: The transformation sin(x)-7 results in a vertical shift down.

The transformation sin(x+7) results in a horizontal shift left.

The transformation sin(x)+7 results in a vertical shift up.

The transformation sin(x-7) results in a horizontal shift right.

Step-by-step explanation:

platoooo 2022

3x+4y=−2. 2x−4y=−8
Select the statement that correctly describes the solution to this system of equations.

Answers

Answer:

One solution at (-2,1)

Step-by-step explanation:

3x+4y=−2.

2x−4y=−8

Add the two equations together

3x+4y=−2

2x−4y=−8

------------------------

5x +0y = -10

Divide by 5

5x/5 = -10/5

x=-2

Now find y

2x-4y = -8

2*-2 -4y = -8

-4-4y = -8

Add 4 to each side

-4+4 -4y = -8+4

-4y = -4

Divide by -4

y = 1

Between 02 30 and 05 15, the same day ,the volume of water in a reservoir increased from 1500 L to 14 700 L. What was the average rate of increased in volume of water, giving your answer in L/h?

Answers

Answer:

4,800

Step-by-step explanation:

(14,700- 1,500) / 2 h 45 m

= 13,200 / 2.75

= 4,800 L/h

Time in minutes between 2 30 and 5 15 = 165 minutes= 2.75 hrs

raise in water level = 14700-1500= 13200

the average rate of increased in volume of water, giving your answer in L/h = 13200/2.75 = 4800 L/h

WILL GIVE BRAILIEST!!!

Answers

Answer:

Step-by-step explanation:

6^4*612/6^7

6^4*6^12-7

6^4*6^5

6^4+5

6^9

The other person is right

Steve went the the baseball game with some of his friends. He bought 3 packages of peanuts and 4 hotdogs for a total of $14.50. Mark bought 1 package of peanuts and 6 hotdogs for $13.00. Ruben came with his family to the baseball game and bought 6 package of peanuts and 10 hotdogs. How much money did Ruben spend?

Answers

$32.50

each package of peanuts = $2.50
each hotdog = $1.75

Ruben spends $32.5 on 6 package of peanuts and 10 hotdogs.

What is a system of linear equations?

In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.

Given that, 3 packages of peanuts and 4 hotdogs costs for a total of $14.50 and 1 package of peanuts and 6 hotdogs costs for $13.00.

Let p = packet of peanuts and h = hotdogs

Establishing the system of linear equations to find the cost of one each,

3p + 4h = 14.50.............(i)

p + 6h = 13

p = 13 - 6h........(ii)

Put eq (ii) in the eq(i)

3(13-6h) + 4h = 14.50

39 - 18h + 4h = 14.50

-14h = -24.5

h = 1.75

Put h = 1.75 in eq(ii)

p = 13 - 6(1.75)

p = 2.5

Hence, the cost of 1 packet of peanut is $2.5 and 1 hotdogs costs $1.75

Therefore, 6 package of peanuts and 10 hotdogs will costs =

6(2.5) + 10(1.75) = 15 + 17.5 = $32.5

Hence, Ruben spends $32.5 on 6 package of peanuts and 10 hotdogs.

Learn more about system of linear equations click;

https://brainly.com/question/19549073

#SPJ2

Point B has coordinates ​(3​,2​). The​ x-coordinate of point A is −6. The distance between point A and point B is 15 units. What are the possible coordinates of point​ A?

Answers

Answer:

Distance between two points= √(x2-x1)²+(y2-y1)²

D= 15units

Let "k" be the y-coordinate of A

A(-6,k)

B(3,2)

15= √(3--6)²+(2-k)²

Taking square of both sides to eliminate the square root.

15²=(9)²+(2-k)²

225=81+4-4k+k²

k²-4k - 140=0

Using Quadratic Formula to evaluate

k= 14 or k=-10

The Possible coordinates of A are

(-6,14) or (-6,-10)

HELPPPP
TWO NUMBERS HAVE A SUM OF 28. THE SMALLER NUMBER PLUS FOUR TIMES THE SECOND NUMBER IS 88. FIND THE UMBERS

Answers

Answer:

The smaller number is: 8

The bigger number is: 20

Step-by-step explanation:

Ok let's say the two numbers are x and y.

x is the smaller one, and y is the bigger one.

This is the equation to find x:

x + 4y = 88

x + y = 28

x - x + 4y - y = 88 - 28

3y = 60

y = 20

x + 20 = 28

x = 8

The sum of the interior angles of a regular polygon is 2 , 880 ° . Find the number of sides of the polygon.

Answers

Answer:

Sum of the interior angles = 2,880° Therefore, assuming a convex or regular polygon and using the summation formula (n - 2) 180°, we have

(n - 2) 180° = 2,880° Solve for n

n - 2 = 16 Add 2 to both sides of the equation

n = 18

Step-by-step explanation:

(n - 2) 180° = 2,880° Solve for n

n - 2 = 16 Add 2 to both sides of the equation

n = 18

anwer pls pls pls the correct​

Answers

Answer:

a)2.5 b)-1200

Step-by-step explanation:

a)2(-5)/4=-10/-4=5/2=2.5

b)2(-5)×(-6)×5(-4)=-10×-6×-20=-1200

Answer:

2.5, - 1200

Step-by-step explanation:

(a)

Substitute the given values into the expression

[tex]\frac{2a}{c}[/tex] = [tex]\frac{2(-5)}{-4}[/tex] = [tex]\frac{-10}{-4}[/tex] = [tex]\frac{10}{4}[/tex] = [tex]\frac{5}{2}[/tex] = 2.5

(b)

2a × b × 5c

= 10abc

= 10 × - 5 × - 6 × - 4

= - 50 × 24

= - 1200

PLEAEE NEED HELP!!

Find the area of the shaded region in the regular polygon with AB = 5.5 ft.

Answers

Answer:

88 ft^2

Step-by-step explanation:

please find attached the diagram used in answering this question

Area of shaded region = area of regular polygon - area of triangle

area of regular polygon = 1/2 x height x perimeter of the polygon

perimeter of the polygon = number of sides x length of side

5 x 8 = 40

1/2 x 40 x 5.5 = 110 ft²

Area of a triangle = 1/2 x ( base x height)

1/2 x 5.5 x 8 = 22 ft²

Shaded portion = 110 - 22 = 88 ft²

The sum of two numbers is 24. The difference of
those numbers is 8. Write a system of equations to
represent the scenario.

Answers

Answer:  

Call x and y the 2 numbers. x + y = 32 x - y = 8 2x = 40 -> x = 20, and y = 32 - 20 = 12.

Step-by-step explanation:

What value of x solves the equation 56/x = 8 (Trigonometry)

(In image)

Answers

Answer:

b. 7

[tex] \frac{56}{x} = 8 \\ 8x = 56 \\ x = 7[/tex]

It’s b.7 bc 56/8 is 7 and 8x7 is 56

Help me with Math please

Answers

Answer:

18 in²

Step-by-step explanation:

Given 2 similar figures with ratio of sides = a : b , then

ratio of areas = a² : b²

Here ratio of sides = 9 : 12 = 3 : 4

ratio of areas = 3² : 4² = 9 : 16

let x be the area of the smaller figure then by proportion

[tex]\frac{x}{9}[/tex] = [tex]\frac{32}{16}[/tex] = 2 ( multiply both sides by 9 )

x = 18

That is area of smaller figure = 18 in²

Could someone pls help with this :-)

Answers

Answer:

A. y = -f(x+1)

Step-by-step explanation:

_______________

The area of a parallelogram is bh.

A parallelogram has an area of 64 in2. If the height is 4 inches, what is the length of the base?

Answers

Base = 16 in

Explanation:

Area = Base x Height
64 = 4 x Height
16 = Height
Height = 16 in

Answer:

14

Step-by-step explanation:

just did it and don't search up mr hands. just trust me.

write an equation in SLOPE- INTERCEPT FORM of the line that has the slope of -6 and a y- intercept of 2.
ANSWER THIS ASAP PLEASE!

Answers

Answer:

y=-6x=2

Step-by-step explanation:

y= mx+b

m=slope

b=y-intercept

Find the total volume of the composite figure below. Round to the nearest thousandth.

Use the π key.

Answers

Answer:

The volume of the composite figure is approximately 3567.198 cubic feet.

Step-by-step explanation:

The composite figure consists in the combination of a right cone and a cuboid. The volume of the composite ([tex]V[/tex]), in cubic feet, figure can be determined by this expression:

[tex]V = \frac{1}{3}\cdot \pi \cdot r^{2}\cdot h + w\cdot H \cdot l[/tex] (1)

Where:

[tex]r[/tex] - Radius of the circle of the right cone, in feet.

[tex]h[/tex] - Height of the cone, in feet.

[tex]w[/tex] - Width of the cuboid, in feet.

[tex]H[/tex] - Height of the cuboid, in feet.

[tex]l[/tex] - Length of the cuboid, in feet.

If we know that [tex]r = 10\,ft[/tex], [tex]h = 10\,ft[/tex], [tex]w = 20\,ft[/tex], [tex]H = 7\,ft[/tex] and [tex]l = 18\,ft[/tex], then the volume of the composite figure is:

[tex]V = \frac{1}{3}\cdot \pi \cdot (10\,ft)^{2}\cdot (10\,ft) + (20\,ft)\cdot (7\,ft)\cdot (18\,ft)[/tex]

[tex]V = \left(\frac{1000\pi}{3} + 2520\right)\,ft^{3}[/tex]

[tex]V \approx 3567.198\,ft^{3}[/tex]

The volume of the composite figure is approximately 3567.198 cubic feet.

The width of a rectangle is 5 feet shorter than its length. If the area of the rectangle is 24 square feet, find the dimensions of the rectangle.

Answers

Lets look at the possible factors of 24. 24*1, 12*2, 8*3, and 6*4. Only 8 and 3 have a difference of 5, so the rectangle has the dimentions of 8 by 3.

I'LL GIVE BRAINLIEST IF CORRECT
The illustration below shows the graph of y as a function of x.
Complete the following sentences based on the graph.
- The slope of the graph of the function is equal to ___ for x between x = -3 and x = -2.
- The slope of the graph is equal to ___ for x between x = 3 and x =4.
- The greatest value of y is y = ___.
- The smallest value of y is y = ___.

Answers

Answer:

Did you mean to attach something?

Step-by-step explanation:

I don't see the illustration... without it I cannot answer the question.

Answer:

0, 0, 4, -3

Step-by-step explanation:

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