Find the distance between the two points rounding to the nearest tenth (In decimal).​

Find The Distance Between The Two Points Rounding To The Nearest Tenth (In Decimal).

Answers

Answer 1

Answer:

approximately 8.9

Step-by-step explanation:

Regard (3, -2) and (7, 6) as the two acute angle vertices of a right triangle.  The horizontal leg of this triangle has the length (7 - 3) = 4, and the vertical leg 6 - (-2) = 8.  

Apply the Pythagorean Theorem to find the length of the diagonal connecting these two points.  This length is the distance between the two points:

d = √(4² + 8²) = √(16 + 64) = √80 + √16√5 = 4√5, or approximately 8.9


Related Questions

what is the angle M?

Answers

Answer:

The m in front of the angle notation refers to the measure of the angle labeled A, B and C (with vertex at B). By definition, the term congruent means "having equal length or measure". Figures are congruent ( ). Segments are congruent. Angles are congruent.

Answer:

ive found sideNM = 9.797...

and constructed a triangle

Step-by-step explanation:

and I've measured it

the answer ive got is approximately 30 degrees

Lol I've verified in a funny way,

Ive measured the angle directly putting on the screen and it measures 30 degrees

Using The exterior angle Theorem solve for the identified angle

Answers

Answer:

107

Step-by-step explanation:

180-(65+42) = SQR = 73

180-73 = 107

This is geometry. Please help. If at all possible show solving steps or step explanations.

Answers

slope m = 5/7 because tan

Find the slope and y-intercept for the graph.

God bless!

Answers

Slope: you can do rise/run by making a small triangle or you can use the slope formula.
Slope formula: pick any two points
(y2 - y1)/ (x2 - x1)
I found (1,1) and (2,4)
(4-1)/(2-1) = 3/1 = 3
The slope is 3

Y intercept = (0,y)
Find the point where x = 0
It would be (0,-2)
The y intercept is (0,-2)

3/7 of the students in a school are sixth graders. how many sixth graders are there if the school has 28 students.

Answers

12 students are 6th graders. 28/7= 4
4x3=12

Answer:

There are 12 6th graders

Step by Step Explanation:

Because there are 28 students, you have to make a fraction wuth a denominator of 28. To do that, you have to multiply the denominator of 3/7 by 4 to get 3/28. To get an equivalent fraction, you need to multiply the numerator by 4 too, because whenever you do something to the denominator of a fraction, you must mirror it for the numerator and vice versa. so 3/7 × 4 equals 12/28. So 12 out of the 28 students are 6th graders.

Oliver has created a plot of his backyard on the given coordinate plane, so that each unit length is one yard. He wants to design a right triangular plant bed for his backyard that has an area of eight square yards. After placing one vertex of the base of the plant bed at (3, 8) and one vertex at (7, 8) on his coordinate plane, he has to determine where to place the last vertex. Locate the possible locations of the last vertex on the coordinate plane.

Answers

Answer:

The possible locations are;

(3, 4), (3, 12), (7, 4), and (7, 12)

Please find attached the plot of the points created with Microsoft Excel      

Step-by-step explanation:

The given parameters of the plot of Oliver's backyard are;

The area of the right triangular plant bed Oliver wants to design, A = 8 yd²

The length of a/each unit of the plot = 1 yard

The location of one of the vertex of the right triangular area = (3, 8)

The location of the other vertex of the right triangular area = (7, 8)

We note that the area of a triangle, A = 1/2 × Base length, B × Height, h

Let the distance between the two plotted point represent the base length, 'B', therefore;

B = 7 - 3 = 4 (We subtract only the x-values (7 and 3) given that the y-values (8 and 8) are the same;

Therefore, the base length, B = 4 yards

A = 1/2 × B × h

∴ A = 8 yd.² = 1/2 × 4 yd. × h

h = 8 yd.²/ 2 yd. = 4 yd.

The height of the right triangle, h = 4 yd.

Therefore the possible locations of the last vertex the right triangle on the coordinate plane, given that the first two points are parallel with the x-axis, are points 4 units above or the y-axis value of the plotted points with the x-value of the last vertex being either 3, or 7 as follows;

(3, 8 ± 4) or (7, 8 ± 4) which give points, (3, 4), (3, 12), (7, 4), and (7, 12).

Answer:

3,4 7,4

Step-by-step explanation:

Four cubes are lined up to form a solid. The side lengths of the cubes are 2 ft, 3 ft 4 ft. and 5 ft. What is the volume of the solar A. 196 ft B 224 ft C.374 ft3 d 2,744ft3​

Answers

Answer:

A

Step-by-step explanation:

The sum of the age of mother and daughter is 66 years.Mothers age is 5 times of daughters age.What is the age of daughter??

Answers

Answer:

I think it might be 13 or 14 I'm not completely sure though.

Step-by-step explanation:

In 1990, the rate of change of the world population was approximately 0.09125 billion per year (or approximately 1 million people every four days). The world population was estimated to be 5.3 billion in 1990. Use the linear model to predict the world population in 2025. a. According to the model, in 2025 the world population will be 84,937,500,000 b. According to the model, in 2025 the world population will be 8,493,750,000 c. According to the model, in 2025 the world population will be 5,302,607,000 d. According to the model, in 2025 the world population will be 8,037,500,000

Answers

Answer:

According to the model, in 2025 the world population will be 8,493,750,000

Step-by-step explanation:

Rate at which population was growing per year = 0.09125 billion

Initial population figure in 1990 = 5.3 billion

World population prediction in 2010 ;

Predicted population figure :

Initial population + (population growth value per year * number of years)

number of years = (2025 - 1990) = 35 years

Predicted population figure in 2025 :

5.3 + (0.09125 * 35)

5.3 + 3.19375

= 8.49375 billion.

8,493,750,000 by 2025

Answer:

b

Step-by-step explanation:

edge 2021

How can you use mental math to multiply numbers by 10?

Answers

Answer:

add a zero at the end of the number. 5x10=50. 60x10=600. 700x10=7000 etc.

Step-by-step explanation:

Answer:

Move the decimal point one space to the right

Step-by-step explanation:

Ex:

12*10=120            12=12.0 move the decimal one space to the right=120

You can also just add 0 if there isn't a decimal point

13.5*10=135                        move the decimal one space to the right

hope this helps :)

A baseball team wins one out of every three games. How many wins
would they have after 27 games?

Answers

Answer:

9 wins

Step-by-step explanation:

[tex]\frac{1}{3} =\frac{x}{27} \\\\3x=27\\x=9[/tex]

They'd have 9 wins after 27 games.

1. Alex bought 2 buckets of baseballs that cost $19.49 each, a bat that cost $125.50, and 2 pair of baseball socks that totaled $29.50. The tax on Alex's purchases equaled $16. How much change did Alex receive if he paid with three $100 bills?​

Answers

Answer:

$90.02

Step-by-step explanation:

Solve

Formula: Change money = paid money – bill. Paid money = change + bill.

Given: 2 buckets of baseballs that cost $19.49 each

A bat that cost $125.50, and 2 pairs of baseball socks that totaled $29.50

Tax on Alex's purchases equaled $16.

Paid with three $100 bills.

To find: How much change Alex received if he paid with three $100 bills

Total payment + Total Tax  -Total cost

19.49 + 125.50 + 29.50  = 174.49 (Don't add the $16 tax because that will be taken from the amount we pay)

∴, three 100 bills is 300

So, 300 - 174.49 = 109.51

109.51 - 16 = 90.51

90.51 - 0.49 = $90.02

What is the positive solution to this equation?

4x2 + 12x = 135

Answers

Answer:

9/2

Step-by-step explanation:

Emma is a professional cyclist. For the past year she has been practicing to ride as far as she can in a minute. At the beginning of the year, her personal record was 5/6 of a kilometer in one minute. After six months, she improved her record by 1/15 of a kilometer. After a year, she further improved her record by 1/12 of a kilometer. What is her best record?

Answers

Step-by-step explanation:

5/6+1/15+1/12in on minute

Emma's best record is 59/60 kilometers per minute.

Given that, Emma personal record was 5/6 of a kilometer in one minute.

What is addition of two fractions?

To add fractions there are three simple steps:

Step 1: Make sure the bottom numbers (the denominators) are the same. Step 2: Add the top numbers (the numerators), put that answer over the denominator.

Step 3: Simplify the fraction (if possible)

Given, after six months, she improved her record by 1/15 of a kilometer. After a year, she further improved her record by 1/12 of a kilometer.

Now, 5/6 + 1/15 + 1/12

LCM of denominators 6, 15 and 12 is 60.

50/60 + 4/60 + 5/60

= 59/60

Therefore, Emma's best record is 59/60 kilometers per minute.

To learn more about the addition of fractions visit:

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Jimmy invests $2,936 in a retirement account with a fixed annual interest rate of 5% compounded continuously. What will the account balance be after 18 years?

A) $6,599.86

C) $6,534.19

B) $7,221.39

D) $6,869.20

Answers

Answer:

B) $7,221.39

Step-by-step explanation:

Given data

Principal=$2,936

Rate=5%

n=12

Time = 18 years

The expression for compound interest is

A=P(1+r/n)^nt

substitute

A= 2936(1+0.05/12)^12*18

A= 2936(1+0.00416)^12*18

A= 2936(1.00416)^12*18

A= 2936(1.00416)^216

A= 2936*2.45149

A=7197.57464

Hence the approximate amount is B) $7,221.39

1. A signal tower has two lights that are 30 feet apart from each other, one directly above the other. From

a boat, the angle of elevation of the lower light is 14 degrees, and the angle of elevation yo the upper

light is measured to be 32 degrees.

a) Find to the nearest foot the distance from the boat to the lower light.

b) The boat and the foot of the tower are in the same horizontal plane. Find to the nearest foot the

distance from the boat to the foot of the tower.

Answers

Solution :

It is given that the distance between the two lights is 30 feet.

The angle of elevation of the upper light from the boat, ∠ ABP = 32 degree

The angle of elevation of the lower light from the boat, ∠ ABQ = 14 degree

∴ ∠ PBQ = ∠ ABP - ∠ ABQ

              = 32 - 14

              = 18 degree

In triangle PAB

∠ PAB = 180 - (90 + 32)

           = 58 degree

Similarly in triangle AQB

∠ AQB = 180 - (90 + 14)

           = 76 degree

Now considering triangle PBQ and applying the sine theorem,

[tex]$\frac{PQ}{\sin 18}=\frac{BQ}{\sin 58}$[/tex]

we know PQ = 30 feet

∴ [tex]$BQ =\frac{\sin 58}{\sin 18} \times 30$[/tex]

        = 82.33 feet

Again taking the right triangle ABQ and applying sine theorem,

[tex]$\frac{BQ}{\sin 90}=\frac{AB}{\sin 76}$[/tex]

[tex]$\frac{82.33}{\sin 90}=\frac{AB}{\sin 76}$[/tex]

∴ [tex]$AB = 82.33 \times \sin 76$[/tex]

         = 79.88 ft

         = 80 feet

 

HELPP!!!!!!!!!!!!!!!!

Answers

Answer:

D.4 3/4

Step-by-step explanation:

hope it helps you

2. The picture shows a feeding trough that is shaped like a right prism.

(a) Surface A and B are identical trapezoids. What are the lengths of the bases of the trapezoids? What is the height?
(b) Surfaces A and B will be painted blue. What is the total area that will be painted blue?
(c) The edges of the trapezoids need to be sanded. A piece of sandpaper advertises that it can sand up to 80 cm. Will one piece of sandpaper be enough to sand the edges of one trapezoid? Explain.

Answers

Answer:

B

Step-by-step explanation:

is the Square root of 18 divided by 3 a rational or irrational number? explain using full sentences

Answers

Answer:

irrational

Step-by-step explanation:

[tex]\sqrt{18}[/tex] = [tex]\sqrt{9}[/tex] · [tex]\sqrt{2}[/tex] which is the same as 3[tex]\sqrt{2}[/tex]

3[tex]\sqrt{2}[/tex] divided by 3 equals [tex]\sqrt{2}[/tex], which is irrational

Find the product of (2a+b)^2

Answers

Answer:

(2a+b)^2

4a^2 + 4ab + b^2

product=4

Answer:

4a²+b²+4ab

Step-by-step explanation:

(2a+b)²=(2a)²+(b)²+2×2a×b

(a+b)²=a²+b²+2ab

answer:- 4a²+b²+4ab

Triangle CAT is equilateral and centered at the origin.
How many degrees will it need to be rotated
counterclockwise about the origin to take point C to
the initial location of point A?
60°
O 120°
240°
180°

Answers

Answer:

60 is the answer

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

What is the negative zero of the quadratic function f(x) = 4x2 – 81?

Answers

-4.5 is the negative

I want its solution and the unit is about algebraic fraction.

Answers

Answer:

3x²/(3x - 9y)

This should be the simplest form.

Step-by-step explanation:

Combine the fractions:

(5x² - 2x²)/((6x - 6y) - (3y - 3x))

Combine like terms:

3x²/(6x - 3x - 6y - 3y)

Solve.

3x²/(3x - 9y)

Answer:

9x^2      

======

6(x - y)

Step-by-step explanation:

Begin by switching the - to a plus. Switch the x and y in the second denominator.

5x^2              2x^2

=====      +    ======

6x - 6y          3x - 3y

Pull out the common factors in both denominators. Use the distributive property.

5x^2              2x^2

=====      +    ======

6(x - y)          3(x - y)

Multiply both the numerator and denominator by 2 on the left had fraction.

5x^2              2*2x^2

=====      +    ======

6(x - y)          2*3(x - y)

5x^2                4x^2

=====      +    ======

6(x - y)          6(x - y)

Put both numerators over a common denominator. Notice that the + sign shifts up.  It shifts up because both fractions have been changed to a common denominator.

5x^2        +        4x^2

===================

          6(x - y)

Combine the two numerators since they are of the same power.

9x^2      

======

6(x - y)

Solve the question in the picture below. Thank you.

Answers

The answer is 8 units. Hope this helps:)

Answer:

8 units

Step-by-step explanation:

Find the distance along the y-axis. For the example points (3,2) and (7,8), in which (3,2) is Point 1 and (7,8) is Point 2: (y2 - y1) = 8 - 2 = 6. This means that there are six units of distance on the y-axis between these two points. Find the distance along the x-axis. Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.

help I literally got a 4/10 in my math test and my mom is like REALLLLY mad that she took my phone so I’m using my sisters ipad and she gave me advice on this app so i don’t even know if this could help but this is the page I need to complete/it’s for term 2 (week2) basically on my test well it’s apart of it so pls help- ~btw don’t look at the top cause I already completed it, I just need the 2 and 3 helppppp ima die ANDDD I used all the points I think that’s what it’s called~

Answers

Answer:

3/8 < 2/4

2/3 > 7/12

i could be wrong sorry

It should look like this:

Aaron’s class as 24 students. 1/6 of them play basketball. How many students in his class play basketball?

Answers

Answer:

4

Step-by-step explanation:

f(x)=3x+5 and g(x)=x^2
find g(3x)

Answers

Answer:

g(3x) = 9x²

Step-by-step explanation:

To evaluate g(3x) substitute x = 3x into g(x) , that is

g(3x) = (3x)² = 9x²

f(x)
Which function equation is represented by
the graph?
5
4
o f(x) = 5(3)*
o f(x) = 5(3)*
o f(x) = 5(3)*
of(x) = 5(1)"
3
2+
1 +
1 2 3 4 5 6 7 8 9 10

Answers

The answer is f(x) = 5(2/4)^x, which is the fourth answer choice.

Based on the graph you can see that f(1)=2, and if you plug in 1 for each of the functions listed, the only one that gives you 2 is f(x) = 5(2/4)^x

The function equation represented by the graph is given by the following variable f ( x ) = 5 ( 2/5 )ˣ

What is Equation of Graph of Polynomials?

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let the equation of graph of the function be represented as A

Now , the value of A is

The function is an exponential equation with intercepts at

Let the first point on the graph be A ( 0 , 5 )

Let the second point on the graph be B ( 1 , 2 )

Now , the line is an exponential decay equation of the form

A = 5 ( 2/5 )ˣ

Therefore , the function is f ( x ) = 5 ( 2/5 )ˣ

Hence , the equation of graph is A = 5 ( 2/5 )ˣ and it is plotted

To learn more about equation of graph of polynomials click :

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Solve the system by substitution.
x = 9y
x-5y=20

Answers

Step-by-step explanation:

hope this helps you! have a great day

The solutions of the system of equations are x = 45 and y = 5.

What is the system of equations?

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

The system of equations,

x = 9y  .... (1)

x-5y=20 ......(2)

Substituting the value of x from the equation 1 to equation 2,

we get,

9y - 5y = 20

4y = 20

y = 5

Then, x = 5(9) = 45

Therefore, the solutions of the equations are x = 45 and y = 5

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which set of ordered pairs could be generated by an exponential function

Answers

Answer:

Option C represents an exponential function

Step-by-step explanation:

Generally, we have an exponential function in the form ;

y = a.b^x

Where in fact, a is not 0

In this case, let us have a as 1 and b as 2

So we have;

for x = -1

y = 2^-1 = 1/2

for x = 0

y = 2^0 = 1

for x = 1

y = 2^1 = 2

for x = 2

y = 2^2 = 4

So the correct choice here is the third option

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