PLEASE HELP!
The Frostburg-Truth bus travels from Frostburg Mall through the city's center to Sojourner Truth Park. The mall is 2 miles east and 2 miles north of the city's center. Truth Park is 3 miles west and 4 miles south of the city's center. How far is it from Truth Park to the mall, to the nearest tenth of a mile?
a.) 2.8
b.) 7.8
c.) 5
d.)2.2
Answers
Option: b is the correct answer.
b) 7.8 miles.
Step-by-step explanation:Let us suppose that the city center is located at C(0,0) on the coordinate grid.
Now, The mall is 2 miles east and 2 miles north of the city's center.
This means that the coordinate of the mall is located at M(2,2)
and Truth Park is 3 miles west and 4 miles south of the city's center.
This means that the coordinate of the Truth park is located at P(-3,-4)
Hence, the distance between the mall and Truth park is equal to the sum of the distance between the Center city and mall and center city and Truth park.
i.e. PM=CM+PC
From the figure we may observe that:
[tex]CM=\sqrt{(2-0)^2+(2-0)^2}\\\\CM=\sqrt{4+4}\\\\CM=\sqrt{8}=2\sqrt{2}[/tex]
Hence, [tex]CM=2.828\ miles[/tex]
Similarly,
[tex]PC=\sqrt{(0-(-3))^2+(0-(-4))^2}\\\\\\PC=\sqrt{3^2+4^2}\\\\\\PC=\sqrt{9+16}\\\\\\PC=\sqrt{25}\\\\\\PC=5\ miles[/tex]
Hence, PM=2.828+5=7.828 miles
The distance between mall and Truth park to the nearest tenth is:
7.8 miles
Related Questions
What’s b = 3x + 9xy ? Solving the equation for x.
Answers
Answer:
x= [tex]\frac{b}{3+9y}[/tex] .
Step-by-step explanation:
Given : b = 3x + 9xy.
To find : Solving the equation for x.
Solution : We have given
b = 3x + 9xy.
Taking common 3x from right hand side
b = 3x ( 1 + 3y).
On dividing both sides by 1 + 3y .
[tex]\frac{b}{1+3y}[/tex] = 3x
On dividing both sides by 3
[tex]\frac{b}{(3+9y)}[/tex] = x .
Therefore, x =[tex]\frac{b}{(3+9y)}[/tex] .
x = b/(3 + 9y)
Further explanation[tex]\boxed{ \ b = 3x + 9xy \ }[/tex]
In the equation, there are three variables, namely b, x, and y. The coefficients of x and xy are 3 and 9, respectively.
We need solving for x from the equation.
Let us reposition it by swapping sides. The aim is to prepare x as the subject on the left-hand side.
[tex]\boxed{ \ 3x + 9xy = b \ }[/tex]
On the left-hand side, 3x is pulled out of the brackets because it is the GCF (The Greatest Common Factor) of 3x and 9xy.
[tex]\boxed{ \ 3x(1 + 3y) = b \ }[/tex]
Both sides divided by 3(1 + 3y).
[tex]\boxed{ \ x = \frac{b}{3(1 + 3y)} \ }[/tex]
Hence, the final result is
[tex]\boxed{\boxed{ \ x = \frac{b}{3 + 9y} \ }}[/tex]
That's all the steps to get x as a subject.
Learn moreSolve one of the variables of the equation to become the subject https://brainly.com/question/6465937# The inverse of a function https://brainly.com/question/3225044What is the simplified form of 5(14 - 2)² ÷ 2 ? https://brainly.com/question/1602237Keywords: what’s b = 3x + 9xy?, solving the equation for x, solve for x, both sides, divide, GCF, subject, steps, b/(3 + 9y)
Eva would like to add paper streamer around the edge of a round table. The table covers an area of 19.5 square ft. What is the minimum length of the paper streamer Eva needs?
Answers
A=3.14 r squared
19.5 divided by 3.14 =r squared
6.21 =r squared
R=2.49
C= 3.14 (4.98)=15.64 feet of paper
What is 1,995298 to the nearest 1,0000
Answers
hope this helps
Algebra 1: Consecutive Integers
If the sum of the first two consecutive even integers is equal to three times the third what are the three integers
Answers
x+(x+2)= 3(x+4)
2x+2= 3x+12
2x= 3x+10
-x=10
x=-10
Final answer: -10, -8, -6
he earns $7 a week for each cat he feeds and $0.20for each email he answers. Marcus answered 140 emails and earned $49 last week. create an equation that will determine the number of cats he fed
Answers
140x0.020= 28
7x3=21
28+21=49
bam hope i helped :)
how can I turn a parabola into an equation? (please be specific)
Answers
Discussion Explain why 2 < x < 6 can be considered the short method for writing the AND compound inequality x > 2 AND x < 6.
Answers
A town's population increases in one year from 100,000 to 110,000. If the population is growing exponentially at a steady rate, then at the end of a second year it will be
Answers
110,000 - 100,000 = 10,000
110,000 + 10,000 = 120,000 peoples.
draw a 150 degree angle
Answers
Rafael has 118 baseball cards arranged in an album. Each page of the album can hold 9 cards. How many pages are full and how many cards are on the last page? Show your work.
Answers
13 times 9= 117
Rafael would have 1 card on the last page.
118-117= 1
The division is one of the four fundamental arithmetic operations. The number of pages of the album that are completely filled is 13, while the last page of the album has only 1 card.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that Rafel has 118 baseball cards arranged in an album. Also, Each page of the album can hold 9 cards.
Therefore, the number of pages that will be full can be found by dividing the total number of cards available by the total number of cards that each page can have.
In the division, the quotient represents the number of pages which have 9 photos, therefore are full. And the remainder represents the number of photos that will be left on the last page.
The division can be carried out as shown below.
Hence, the number of pages of the album that are completely filled is 13, while the last page of the album has only 1 card.
Learn more about Division here:
https://brainly.com/question/369266
#SPJ5
2/5 (y-40) = 5 (solve for y)
Answers
2(y-40) = 25
then, divide both sides by 2 to get rid of the 2 in the left side:
y-40 = 12.5
then, isolate the y in one side and the other terms on the other.
y = 12.5+40
y = 52.5
567,433 to the nearest hundred thousand
Answers
first, find the number in the hundred thousand place....it is the 5...now look at the number directly to the right of it...
if that number is 5 or above, ur 5 gets rounded up to a 6
if that number is 4 or below, ur 5 stays the same
so the number to the right of 5 is 6....it is greater then 5, so u round ur 5 up to a 6...and ur answer is 600,000 <==
because 567,433 is closer to 600,000 then it is to 500,000
The number 567,433 nearest hundred thousand is 600,000 after rounding off, the answer is 600,000.
What is rounding off the number?Rounding is a technique to reduce a large number to a smaller, more approachable figure which is very similar to the actual. Rounding numbers can be achieved in a variety of ways.
It is given that:
The number is 567,433
600,000
Rounded to the nearest 100,000 or
the Hundred Thousands Place.
Thus, the number 567,433 nearest hundred thousand is 600,000 after rounding off, the answer is 600,000.
Learn more about the rounding off number here:
https://brainly.com/question/13391706
#SPJ2
Which integer is less than –4?
A.
–6
B.
–2
C.
0
D.
3
Answers
Pls help
Simplify
6m+ 7n+ 5m - 3n
Answers
(6m + 5m) + (7n - 3n)
11m + 4n ← answer
Do the 6m and 5m first. Add them together.
6m + 5m = 11m
Now subtract -3n from 7n.
7n - 3n = 4n
11m + 4n is simplified.
Describe how to write an equivalent ratio for 9/27 without using a multiplication table
Answers
9/27 = 1/3
Hope this helped!
a 7/16 inch bolt is used in a machine . what is the length of the bolt writtin as a decimal?
Answers
After 3.5 hours pasha had traveled to 17 miles if she travels at a constant speed how far will she have traveled after four hours
Answers
When you write a deposit slip, you put the cash and the checks in the same section True or False
Answers
What is 51/8 as a mixed number?
Answers
It's 6, and the remainder is 3, then put 3 over the denominator.
It would be 6 3/8.
the number 80 is increased by 50%. The result is then decreased by 25%. What is the final number?
Answers
So your awnser is 39.75
Divide 28 cans of soda into two groups so the ratio is 3 to 4.
Answers
3 x 4 = 12
4 x 4 = 16
12 + 16 = 28
you will put 12 cans in one group and 16 cans in another group
hope this helps
if x = -6, which inequality is true, -5 - 3x > 10, -3 - 5x < -14 or 2-x < -3?
Answers
we can subtitution x to every inequality, so :
-5 - 3x > 10
-5 - 3(-6) > 10
-5 - (-18) > 10
-5 + 18 > 10
13 > 10 [true]
-3 - 5x < -14
-3 - 5(-6) < -14
-3 - (-30) < -14
-3 + 30 < -14
27 < -14 [false]
2 - x < -3
2 - (-6) < -3
2 + 6 < -3
8 < -3 [false]
So if x=-6, inequality true is -5 - 3x > 10.
Write an algebraic expression for each verbal expression
Answers
18+n
33j
2/5*n^3
Its me again
why is scientific notation useful? how is scientific notation used in the real world?
Answers
It makes it easier to deal with because the long numbers are converted into smaller numbers. Like for example, 0.000000000000000000000000000000000000000000045 is converted into 4.5*10^44. Isn't that MUCH MORE simpler?!?!??!
It is also used to find masses, for example, like some metals or substances that have a really smaller mass.
Evaluate the expression for the given values.
mx−y when m=2, x=7, and y=5
Answers
2*7 is 14
14-5 is 9
The answer to 2(7)-5 is 9
14-5
9 would be answer
if sin q = 4/5, cos p + cos q =?
Answers
Three equivalent ratio of 36:48
Answers
There are common factors of both the numerator and denominator
The numerator and denominator are common factors of other numbers.
ex. 36 and 48 are both divisible by 2, 3, 6, and 12. If you divide both the numerator and denominator by 2, your ratio is 18:24. If the numerator and denominator were divided by 3, the ratio would be 12:16. Divided by 6 would give you a ratio of 6:8, and dividing by 12 results in a ratio of 4:3.
On the other side of the spectrum, if you, say, needed five or six options, then you can multiply both the numerator and denominator by a non-zero number (You are really multiplying by one, ex. 2/2, so the ratio is equivalent. It just seems larger.) So if you did multiply it by 2/2, then your ratio would be 72:96. Hope this helps.
Kofi is one of the best baseball players in his league. His last three pitches have been clocked at 71.025 mph, 72.35 mph, and 71.95 mph. What is the difference between the fastest and slowest pitches that were clocked?
Answers
What is 39.39 rounded to the nearest 10th
Answers
you round up, since the hundredths place is higher than 5.
hope this helps! :D
What is 855,000 in scientific notation
Answers
you want your scientific notation number in between 1 and 10 !!!
- Where’s the decimal point in 312,000,000,000? Because it’s a whole number, the decimal point is understood to be at the end of the number: 312,000,000,000.
So, N = 3.12.
Step TWO: Determine the exponent, which is the number of times you moved the decimal.
-In this example, you moved the decimal 11 times; also, because you moved the decimal to the left, the exponent is positive. Therefore, a = 11, and so you get
Step THREE: Put the number in the correct form for scientific notation