James is from Rochester. Today, he has to travel to Cannon Falls for a morning meeting and then to Austin for an afternoon meeting and then home again. Cannon Falls is 45 miles directly north of Rochester. Austin is 42 miles directly west of Rochester. There is a nice straight road from Cannon Falls to Austin. Calculate the total distance he will be driving. Round your answer to the nearest mile.
(Drawing a map may be helpful.)

Answers

Answer 1

Answer:

His total distance is 149 miles.

Step-by-step explanation:

Use the Pythagorean theorem to find the value of the straight road from cannon falls to austin.  Then add that value with 42 and 45.


Related Questions

Check image for question

Answers

Answer:

a. 18

Step-by-step explanation:

a= 2

b= 3

[tex]ab^{2} =(2)(3)^{2} =2(9)=18[/tex]

Hope this helps

a=2

b=3

Now

a*b=ab²2*3=2(3)²2*3=2(9)2*3=18

Simplify this expression
[tex]\frac{(a^8a^6)}{a^2} ^\frac{1}{7}[/tex]

Answers

Answer:

Step-by-step explanation: The simplification calculator allows you to take a simple or complex expression and simplify and reduce the expression to it's simplest form.

AGHHHHHH I REALLY NEED HELP!!!!!!!!!!!! (pls actually answer it though!)
tysm if u answer it:)

Answers

Answer:

23/99 or 0.22222222222222.

Step-by-step explanation:

Answer:

23/99

Step-by-step explanation:

Please answer hurrryy

Answers

Answer:

the answer is 270714.285714 or just  270714.2 careful \

Step-by-step explanation:

Please help me! I’m failing!!!

Answers

a. If G(t) = a (1 + r)ᵗ, then G(0) = a corresponds to the starting area of the glacier, which is given to be 142 acres. So a = 142.

The area of the glacier shrinks by 4.4% each year. This means that after 1 year, the area is reduced to

142 - (4.4% of 142) = 142 (1 - 0.044) ≈ 135.75 acres

After another year,

135.75 - (4.4% of 135.75) = 135.75 (1 - 0.044) ≈ 129.78 acres

or equivalently, 142 (1 - 0.044)² acres.

And so on. After t years, the glacier would have an area of

G(t) = 142 (1 - 0.044)ᵗ   ⇒   G(t) = 142 × 0.956ᵗ

b. If the year 2007 corresponds to t = 0, then 2012 refers to t = 5. Then the area of the glacier is

G(5) = 142 × 0.956⁵   ⇒   G(5) ≈ 113.39 acres

c. Simply take the difference between G(5) and G(0) :

G(5) - G(0) ≈ 142 - 113.39 ≈ 28.61 acres

d. The average rate of change of G(t) from 2007 to 2012 is given by the difference quotient of G(t) over the interval 0 ≤ t ≤ 5 :

[tex]ARC_{[2007,2012]} = \dfrac{G(5) - G(0)}{5 - 0} \approx \dfrac{113.39 - 142}5[/tex]

so that ARC ≈ -5.72 acres/year. This rate tells us that a little less than 6 acres of glacial ice is lost each year, based on the reduction over the first 5 years.

e. The year 2017 refers to t = 10, so now we compute

[tex]ARC_{[2012,2017]} = \dfrac{G(10) - G(5)}{10 - 5} \approx \dfrac{90.55-113.39}5[/tex]

which comes out to about ARC ≈ -4.57 acres/year. Since this rate is smaller than the ARC between 2007 and 2012, this means that the glacial ice is disappearing at a slower rate in later years.

Which exponential expression represents the numerical expression 9.9.9? O 39 99 0 9x3 O 3x9 1 2 2 3​

Answers

Step-by-step explanation:

nine to the third power or 9-cubed is the answer b/c multiply the number "9" by itself, three times.

     Therefore, 9*9*9" is equal to: 9³ 

explanation:
9^3

good luck!!

Coby designs a rectangular vegetable garden. What will be the length of the full-size
vegetable garden?

Answers

Answer:

168. would be the length

Solve using elimination 5x+7y=9
2x-3y=-37

Answers

Answer:

x = -8

y = 7

Step-by-step explanation:

5x + 7y = 9

2x - 3y = -37

1.) First, multiply each side to match either y-values or x-values. (In this example, we'll use match x-values)

10x + 14y = 18 (multiplied by 2)

10x - 15y = -185 (multiplied by 5)

2.) Then, subtract the entirety of one equation to isolate the y-value.

10x + 14y = 18

-10x + 15y = 185

3.) Add and subtract values and divide to find y.

29y = 203

y = 7

4.) Plug-in y to solve for x into one equation, or repeat steps 1-3.

15x + 21y = 27

14x - 21y = -259

29x = -232

x = -8

Tina rolls a dice what is the probability that she rolls a 1 b3 c4 d 3 or 4

Answers

Using the probability concept, it is found that there is a [tex]\mathbf{\frac{1}{6}}[/tex] probability that she rolls a 1.

A probability is the number of desired outcomes divided by the number of total outcomes.

In a dice, there are 6 sides, one of which is a roll is 1, then:

[tex]p = \frac{1}{6}[/tex]

There is a [tex]\mathbf{\frac{1}{6}}[/tex] probability that she rolls a 1.

For more on probabilities, you can check https://brainly.com/question/24437717

Using the image below which could be the first step in order to draw a arc for the construction

Answers

Answer:

With its point on A, open the compass on point E

1. A grand tour of four cities begins at city A and makes successive stops at cities B, C,
and D before returning to city A. If the cities are located as shown in the
accompanying figure, find the total distance covered on the tour. The units are in
miles.
0-900,800)
400,300)
D1-800,0)
ALOO

Answers

Using distance between two points, it is found that the total distance covered on the tour is of 3400 miles.

Given two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], their distance is given by:

[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

In this problem, the formula is used to find the distance covered on each tour, hence:

[tex]d_{AB} = \sqrt{(400 - 0)^2 + (300 - 0)^2} = 500[/tex]

[tex]d_{BC} = \sqrt{(-800 - 400)^2 + (800 - 300)^2} = 1300[/tex]

[tex]d_{CD} = \sqrt{(-800 - (-800))^2 + (0 - 800)^2} = 800[/tex]

[tex]d_{DA} = \sqrt{(0 - (-800))^2 + (0 - 0)^2} = 800[/tex]

Then, the total distance is given by the sum of each separate distance, hence:

[tex]d = d_{AB} + d_{BC} + d_{CD} + d_{DA} = 500 + 1300 + 800 + 800 = 3400[/tex]

The total distance covered on the tour is of 3400 miles.

You can learn more about distance between two points at https://brainly.com/question/25929988

Metallic blocks x,y, and z were placed in the graduates a, b, c. The initial volume of liquid in the equal sized graduates was 40 ml. Which block was placed in which graduate.

Answers

Answer:

hope it helps B-Y, C-Z, A-X

Find the equation of this line.​

Answers

y=2x+1
Hope this helps!

Which polynomial is prime? x4 3x2 â€"" x2 â€"" 3 x4 â€"" 3x2 â€"" x2 3 3x2 x â€"" 6x â€"" 2 3x2 x â€"" 6x 3.

Answers

The polynomial [tex]3x^2+x-6x+3[/tex] is a prime because it is not factorized further and this can be determined by using the factorization method.

Check all the options in order to determine the given polynomial is prime or not.

A) [tex]x^4+3x^2-x^2-3[/tex]

Now, try to factorize the above polynomial.

[tex]x^4+3x^2-x^2-3=(x+1)(x-1)(x^2+3)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

B) [tex]x^4-3x^2-x^2+3[/tex]

Now, try to factorize the above polynomial.

[tex]x^4-3x^2-x^2+3=(x+1)(x-1)(x^2-3)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

C) [tex]3x^2+x-6x-2[/tex]

Now, try to factorize the above polynomial.

[tex]3x^2+x-6x-2=(3x+1)(x-2)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

D)  [tex]3x^2+x-6x+3[/tex]

The given polynomial is not factorized further therefore, this polynomial is is a prime.

For more information, refer to the link given below:

https://brainly.com/question/17822016

Choose the best response to the question below:

Answers

Answer:

d

Step-by-step explanation:

the answer is d because 2×3 equal 6

[tex]\\ \sf\Rrightarrow a*b=ab^2[/tex]

a=2b=3

[tex]\\ \sf\Rrightarrow 2*3[/tex]

[tex]\\ \sf\Rrightarrow 2(3)^2[/tex]

[tex]\\ \sf\Rrightarrow 2(9)[/tex]

[tex]\\ \sf\Rrightarrow 18[/tex]

4d-6=-14+5d
NEED HELP ASAP

Answers

Answer:

Hewo There!!!

____________________

Isolate the variable by dividing each side by factors that don't contain the variable.

d = 8

____________________

“Darkness cannot drive out darkness: only light can do that. Hate cannot drive out hate: only love can do that.”

― Martin Luther King Jr., A Testament of Hope: The Essential Writings and Speeches

_______________________

Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn

You are buying candles for an outdoor event. The candles you want come in boxes of 10, and you have enough money to purchase 20 boxes. How many candles can you buy?

Answers

Answer:

200 candles

Step-by-step explanation:

20*10 = 200

what two integers are between the cube root of 12

Answers

Answer: 2 and 3

Step-by-step explanation:

The cube root of 12 is 2.28942848511, so it is between the integers 2 and 3.

Order the following numbers from least to greatest:
30% 3% 0.003 1/300 1.3 30,000/100 30

Answers

Step-by-step explanation:

30%=0.3

3%=0.03

1/300=0.003333

30000/100=300

Therefore the order is:

0.003;1/300;3%, 30%;1.3;30;30000/100

Answer:

Step-by-step explanation:

30%=0.3

3%=0.03

1/300=0.003333

30000/100=300

Therefore the order is:

0.003;1/300;3%, 30%;1.3;30;30000/100

someone answer this asap pls lots of points

Answers

Answer:

0.34

Step-by-step explanation:

64^1/2=34

10^-2=0.01

34*0.01=0.34

875537= ? x 10^? i need help on this question

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The given value can be expressed as ~

[tex] \sf8.75537 \times 10 {}^{5} [/tex]

Rania receives $40 for her birthday. Then he spends $15 at the movies.

Answers

She’s going to have $35

Answer:

$40-$15= $25 Rania has $25 dollars left

Step-by-step explanation:

Since Rania earned $40 for her birthday and then she spent $15 dollars at the movies, that means that 40-15=25 so she has 25 dollars left.

if cassey adds the following two equations, what multiple of the first equation will the sum represent?

x+y=5
2x+2y=10
A:2 B:3 C:4 D:5

Answers

Answer: 5

Step-by-step explanation:

If I swim 575 yards for three days how many yards I swim

Answers

The answer is 1,725 yards

Step-by-step explanation:

If you swim 575 yards in 3 days, you swim 575 yards.

If you swim 575 yards per day for 3 days, then you swim 3 × 575 yd = 1725 yd

What is 0.8782894737 nearest TENTH of a percent?

Answers

Answer: 0.9

Step-by-step explanation:

Mark me branliest please

Maurice spent $12.00 of the $25.00 on a gift card. Which decimal represents the fraction the $25.00 Maurice spent?

Answers

Answer:

0.60

Step-by-step explanation:

25/2 = 12.5 wich means that it can't be 0.50 or lower so it has to be 0.60

Another one for you guys

Answers

Answer:

50 miles

Step-by-step explanation:

when you match 5 on the side for practice on the x axis, it matches to 50 miles on the y axis

Evaluate the expression when b= -4 and c=6. -4c+ b​

Answers

Answer:

-4 x 6 + -4

-24 + -4

-28.. is your answer mark me brainlist bro plz

Answer:

-28

Step-by-step explanation:

-4(6)+(-4)

-24+(-4)

-28

Which expression is equivalent to 9 x 9 x 9 + 12 x 12 x 12?

Answers

Answer:

i think probably 2457 is answer

Last season, your
favorite basketball
team won 20 games. This
season, your favorite
basketball team won 31
games. What is the
percent change in the
number of games that
your favorite team won
from last season to this
season?

Answers

Answer:

55%

Step-by-step explanation:

The percent change formula is written like this:

[tex]|\frac{change - original }{original}|[/tex]. In this scenario, the "change" or new value is 31, because it is this season, and the original is last season. Now, 31-20 = 11, and 11/20 = 55%.

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