A rectangular city is 2 miles long and 7 miles wide. What is the distance between opposite corners of the city? The exact distance is ______________ miles How far is it to the closest tenth of a mile? Answer: The distance is approximately ___________ miles.

Answers

Answer 1

Answer:

The distance is approximately 10.4 miles.

Answer 2

Answer:

exact distance is = 7.28010988928

rounded to the tenth of a mile is

distance is approximately 7.3 miles

Step-by-step explanation:

hypotenuse of a triangle that's 2 by 7

Pythagorean theorem

a^2 + b^2 = c^2

2^2 + 7^2 = c^2

4 + 49 = c^2

c^2 = 53

c = √53

c = 7.28010988928

tenth of a mile is

c = 7.3


Related Questions

what value will(i)raised to power 8 give?​

Answers

[tex]i = \sqrt{ - 1}[/tex]

[tex]i {}^{2} = - 1[/tex]

[tex]i {}^{ 3} = - 1 \sqrt{ - 1} [/tex]

[tex]i {}^{4} = 1[/tex]

[tex]i {}^{8} = i {}^{4} \times i {}^{4} = 1 \times 1 = 1[/tex]

2. Which is the absolute value of 9 and -9?

А -9

с 9

В 0

Answers

Answer:

0

Step-by-step explanation:

9-9=0

-9 is basically symbolizing subtraction

The absolute value of 9 and -9 is B=0

Five less than the quotient of a number and 4 is equal to – 12.
a). Translate the statement into a mathematical equation.

b). Solve the equation and show all your work. Check your answer.

Answers

Step-by-step explanation:fcvrrctygb

The statement into a mathematical equation form is given as -

(x/4 - 5) = - 12 and on solving the equation, we get x = - 28.

What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the statement -

"Five less than the quotient of a number and 4 is equal to -12"

We can write it as equation -

(x/4 - 5) = - 12

Solving the equation, we get -

x/4 = - 12 + 5

x/4 = - 7

x = - 28

Therefore, the statement into a mathematical equation form is given as -

(x/4 - 5) = - 12 and on solving the equation, we get x = - 28.

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Which point would map onto itself after a reflection across the line y=-x? O(4,-4) O(4,0) O(0, 4) O (4, 4)​

Answers

Answer: well it’s not b or c so I’m guess it (4,-4) if I’m wrong I’m sorry

Step-by-step explanation:

I’m taking it on edge 2020 rn

The point O(4,-4) would map onto itself after a reflection across the line y=-x.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

To find out which point would map onto itself after a reflection across the line y=-x, we need to reflect the given points across the line and see which one ends up in its original position.

The reflection of a point (x, y) across the line y=-x is (-y, -x).

Let's apply this formula to each given point:

The reflection of O(4,-4) across y=-x is (-(-4), -4) = (4, -4), which is same as the original point.

The reflection of O(4,0) across y=-x is (0, -4), which is not the same as the original point.

The reflection of O(0,4) across y=-x is (4, 0), which is not the same as the original point.

The reflection of O(4,4) across y=-x is (-4, -4), which is not same as the original point.

Therefore, the point O(4,-4) would map onto itself after a reflection across the line y=-x.

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what is 12.8% of 1,300?

Answers

Answer:

166.4

Step-by-step explanation:

Percentage of 12.8% of 1300 = ? 12.8% of 1300 is equivalent to multiplying them: 12.8% × 1300. 12.7% of 1300 = ? 12.9% of 1300 = ? 1% of 1300 = ? Detailed ...

Please help me with this

Answers

Answer:

Step-by-step explanation:

to make life easier, i'll give both angles letters

Angle ABC= x

Angle CBD= y

x= y(1/3)

x+y=180

now substitute

y(1/3) +y =180

y(4/3) =180

y(4/3) * (3/4)  = 180  *  (3/4)

y= 135

CBD is 135 degrees

A câmera is capable of snapping 1/2 of a picture per second how long will it take the camera to snap 6 pictures

Answers

It will take 12 seconds, 1/2+1/2=1

So if you count by 2: 2,4,6,8,10,12

You can see that it would take 12 seconds

Hope this was helpful :)

Answer: 12 seconds

Step-by-step explanation:

Step 1: Find the unit rate

1÷0.5=2

1 picture takes 2 seconds

Step 2: Find amount of time taken to snap 6 pictures

2*6= 12

Franco grew 2,820 flowers with 47 seed packets. With 67 seed packets, how many total flowers can Franco have in his garden? Assume the relationship is directly proportional.

Answers

Answer:

941

Step-by-step explanation:

which expression is eqivalent to 9a +12

Answers

[tex]3(3a + 4)[/tex]

this the anwers

Answer:

An easy way to do it,is just multiply both terms by a number 2 (9a+12)=18a+24 it doesn't have to be 2, it can be any number

Hope this Helps:)

the carpenter is tasked to fence a trapezoid lot whose sides are as follows : 9x, 8x-2, 17x-6 and 5x+1, where x represents the length of the piece of wood in meters that will be used. what expression could represent the total length of trapezoid to be fenced?

Answers

not necessarily. The two sides of equal length could be adjacent sides.

Since the war has started, you have lost 1/4 of your total body weight. If you now weigh 150 lb, how much did you weigh when the war started?​

Answers

Answer:

200

Step-by-step explanation:

1/4 of 150 would be 50
If you lost 1/4 of 200
200 - 50
You would get 150

Therefore your answer is 200

Also, think of it this way, if you lost 1/4 of your body weight, 150 is 3/4 of your entire body weight- so the other 1/4 would be 50
50 x 4 = 200
1/4 = 50
2/4 = 100
3/4 = 150
4/4 = 200

Write answer as an order pair
y=3x-4
Y=2 or 5x + 9

Answers

1) (1, -1), (0, -4), (3, 5), and (-2, -10).

2) (5, 2) and (-8, 2)

Can you help me please i will give you a branlist and make sure it roght

Answers

Answer:

x=20

Step-by-step explanation:

Find the values of​ a, b, and c such that the equation y=ax2+bx+c has ordered pair solutions ​(1​,16​), ​(−1​,−2​), and ​(0​,−1​). To do​ so, substitute each ordered pair solution into the equation. Each​ time, the result is an equation in three​ unknowns, a,​ b, and c. Then solve the resulting system of three linear equations in three​ unknowns, a,​ b, and c.

Answers

Answer:

c = -1

b = 9

a = 8

Step-by-step explanation:

16 = a × 1² + b × 1 + c

-2 = a × (-1)² + b × (-1) + c

-1 = a × 0² + b × 0 + c .........-> -1 = c

16 = a + b + c

-2 = a - b + c

16 = a + b - 1

-2 = a - b - 1

a + b = 17

a - b = -1 .......-> a = b - 1 ........ a = 9 - 1 = 8

(b - 1) + b = 17

2b - 1 = 17

2b = 18 .......-> b = 18/2 = 9

Answer:

  y = 8x² +9x -1

Step-by-step explanation:

The coefficients of the quadratic function can be found from three points by substituting the point values into the equation and solving for the coefficients.

The equation we want to find coefficients for is ...

  y = ax² +bx +c

For point (1, 16), the equation is 16 = a(1²) +b(1) +c

For point (-1, -2), the equation is -2 = a(-1)² +b(-1) +c

For point (0, -1), the equation is -1 = a(0) +b(0) +c

__

The last of these equations gives a value for c (c=-1). Substituting that into the other two gives the equations in a and b as ...

  a + b = 17

  a - b = -1

Adding the two equations gives ...

  2a = 16   ⇒   a = 8

Subtracting the second from the first gives ...

  2b = 18   ⇒   b = 9

Then the desired quadratic equation is ...

  y = 8x² +9x -1

What is the 6th term in the following sequence?
48, 40, 32, 24,
A.0
B.16
C.20
D.12

Answers

Answer:

should be 8 unless the first term is 56? or the question asks for 5th term which is 16

Step-by-step explanation:

Difference between 1st term and 2nd:

48-40  =8

Difference between 2nd term and 3rd:

40-32  =8

Clearly the jump between 1 point and the next is subtracting 8 or adding -8:

so 5th term will

24-8  =16

6th term:

16-8  =8

Answer:

16

Step-by-step explanation:

d=8

a=T1-d

48-8=4

T6=T5-d=8

Describe an “easy” method when multiplying or dividing a decimal by powers of ten.

Answers

Answer:

Move the decimal.

Step-by-step explanation:

Multiply by 10, move decimal place one place to the left. Divide by ten, move one to the right.

Find the mean of the sampling distribution of sample means using the given information. Round to one decimal place, if necessary. μ=51 and σ=9; n=36

Answers

The sample mean of the distribution is an estimate of the population mean

The mean of the sampling distribution of sample means is 51

How to determine the mean

The given information are:

Population mean, μ = 51

Standard deviation, σ = 9

Sample size, n = 36

The sample mean is an estimate of the population mean.

So, we have:

[tex]\bar x = \mu[/tex]

Substitute known values

[tex]\bar x = 51[/tex]

Hence, the mean of the sampling distribution of sample means is 51

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Calculate the standard error. May normality be assumed? (Round your answers to 4 decimal places.)

Answers

Answer:

EX: 1.5436666=1.5437

1.12455555=1.1246

1.29244827=1.2924

Find the missing side lengths.

Answers

Answer:

a.180-10

[tex]180 - 10 \sqrt{3 } - 60[/tex]

=use your calculator

June is driving from Brookline, Massachusetts to Brooklyn, new york. The cities are 200 miles apart. Pretend June lives in a world in which she encounters no traffic jams and can drive at a constant speed of 50mph the entire way. Consider the following function. the distance June has traveled, c, is a function of her driving time, t.

Answers

It took June 4 hours to get from Brookline to Brooklyn.

Time calculation

Given that June is driving from Brookline, Massachusetts to Brooklyn, New York, and the cities are 200 miles apart, and she can drive at a constant speed of 50mph the entire way, to determine the function that solves the time June takes to complete the route, the following calculation must be made:

C / Constant speed = T200 / 50 = T4 = T

So it took June 4 hours to get from Brookline to Brooklyn.

Learn more about time calculation in https://brainly.com/question/26707195

Answer:

4 hours

the time(t)=4

In a recent year , 1286 female deer were born in Clark country.That is 93 fewer than the number of male deer born .How many male deer were born that year?

Answers

Answer:

1382 Male deer.

Step-by-step explanation:

1289 + 93 = 1382

The possible results of an experiment are called its

Answers

Theoretical probability is determined through a study of the possible outcomes that can occur for the given experiment.

A glass holds 189 milliliters of juice. How many liters will 36 glasses hold?
(A) 6,804
(B) 680.4
(C) 68.04
(D) 6.804

Answers

Answer:

A

Because you have to Multiply  

189 by 36

A self-serve frozen yogurt restaurant charges its customers according to the weight of their filled frozen yogurt cup. So, the amount they charge is directly proportional to the weight of the purchase. If they charge $5.04 for a 12-ounce cup, how much do they charge for a cup weighing 8 ounces?​

Answers

Divide 5.04 by 12, which is .42 meaning that 42 cents is one ounce. .42 x 8 = $3.36. Hope this helps!

A sample contains 300 grams of carbon-11, which has a half-life of 20 minutes.
Write a function, A, to represent the amount of carbon-11 remaining in the sample after T minutes.

Answers

Answer:

Step-by-step explanation:

Cecilia simplified an expression. Her work is shown below.

(6 and one-half + 2 and three-fourths) minus 1.5 times (4.5 divided by 0.5)
Step 1 9 and one-fourth minus 1.5 times (4.5 divided by 0.5)
Step 2 7.75 times (4.5 divided by 0.5)
Step 3 7.75 times 9
Step 4 69.75

Where did Cecilia make her first mistake?
step 1
step 2
step 3
step 4

Answers

Answer: second step.

Step-by-step explanation:

you then have to distribute the answer not subtract 9 1/4 from 1.5

you have to do the parenthesis next

4.5/0.5=45/5=9

then

1.5*9= 13.5

then

9.25-13.5 which I think you are capable of solving

Answer:

Step 2

Step-by-step explanation:

Given work on simplification

(6 and one-half + 2 and three-fourths) minus 1.5 times (4.5 divided by 0.5) (6 1/2 + 2 3/4) - 1.5 (4.5 ÷ 0.5)

Step 1 9 and one-fourth minus 1.5 times (4.5 divided by 0.5)

9 1/4 - 1.5 (4.5 ÷ 0.5)This is ok as first step is solving parenthesis

Step 2 7.75 times (4.5 divided by 0.5)

7.75 (4.5 ÷ 0.5)Incorrect, subtraction should be the last step

The length of a rectangle is 20sq ft. Find the length and the width

Answers

Answer:

Step-by-step explanation:

5 or 4 can be the length. And 5 and 4 can be the width.

length: 5, 4, 2, 10, etc.

width: 5, 4, 2, 10, etc.

the numbers listed above are options. Multiply the numbers.

And

.

there are many more, but these are commonly used. Hope it helps!

Given p: Today is October 6 and q: Today is Nina's birthday.
Match the conditional statement to its symbolic form.
----
If today is Nina's birthday, then it is October
6.
qp
If today is not October 6, then it is not Nina's
birthday
p>
If it is not Nina's birthday, then today is not
October 6.
---
If today is October 6, then it is Nina's
birthday

Answers

Answer:

Step-by-step explanation:

The dimensions of this figure are changed so that the new surface area is exactly 12 what it was originally.

What is the new surface area?

Enter your answer as a decimal in the box.

yd²
Complex solid composed of rectangular prisms in an L shape. The height of the taller side of the L shape is labeled 8.4 yd. The height of the shorter side of the L shape is labeled 3.8 yd. The width of the of the shorter section of the L shape is labeled 4.3 yd. The length of the taller section of the L shape is labeled 10.1 yd and the width is labeled 2 yd. PLEASE HELP

Answers

Answer:

The answer is 181.61.

Answer: 181.61 :)

Step-by-step explanation:

Which operation should be used to solve x/3 = 15 ?

Answers

Answer:

Multiplication

Step-by-step explanation:

[tex]\frac{x}{3} =15[/tex]

To get the 3 out of the denominator, you would have to multiply each side by 3:

[tex]3*\frac{x}{3} =3*15\\x=45[/tex]

Answer:

X=45

Step-by-step explanation:

Multiply 3 on both sides

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