20. An airport, a factory, and a shopping center are at the vertices of a right triangle formed by three highways. The airport and factory are 6.0 miles apart. Their distances from the shopping center are 3.6 miles and 4.8 miles, respectively. A service road will be constructed from the shopping center to the highway that connects the airport and factory. What is the shortest possible length for the service road? Round to the nearest hundredth​

Answers

Answer 1

Answer:

2.88 mi

Step-by-step explanation:


Related Questions

I'll give you the brainliest

Answers

Answer:

>

Step-by-step explanation:

sqrt{17} > sqrt{11}

Answer: >

Step-by-step explanation: the square root of 17 is going to be larger than the square root of 11. since you add 3 to both equations, that is all you have to worry about.

not sure what the answer is

Answers

Given:

Base dimensions of a rectangular prism = 15 cm × x cm

The height of the prism = 8 cm

Volume of the prism = 600 cm.

To find:

The value of x.

Solution:

Base area of the prism is:

[tex]B=length\times width[/tex]

[tex]B=15\times x[/tex]

[tex]B=15x[/tex]

Volume of the prism is:

[tex]V=Bh[/tex]

Where, B is the base area and h is the height of the prism.

Putting [tex]V=600,B=15x,h=8[/tex], we get

[tex]600=15x\times 8[/tex]

[tex]600=(8)(15)x[/tex]

[tex]\dfrac{600}{(8)(15)}=x[/tex]

Therefore, the correct option is C.

Find the slope will give brainliest if it is correct.

Answers

Answer:

I cannot see pictures, so I will explain how to find slope, so you can do it on your own.

Step-by-step explanation:

Find 2 coordinates on the line.

Ex: (2,3) and (4,6)

Subtract the y-coords and x-coords from each other and divide.

6-3 = 3

4-2 = 2

3/2

So the example slope is 3/2.

The 3 represents the rise, and 2 represents the run.

---

hope it helps

A small company has a fleet of 3 pickup trucks and 4 delivery vans. A larger company has the same ratio of pickup trucks to delivery vans. If the larger company has 45 pickup trucks, how many delivery vans does it have?

Answers

Answer:

60 delivery vans

Step-by-step explanation:

Smaller company:

Pickup truck : delivery van = 3 : 4

If the larger company has 45 pickup trucks

Let x = number of delivery vans

Larger company:

Pickup truck : delivery van = 45 : x

Equate both ratios

3 : 4 = 45 : x

3/4 = 45/x

Cross product

3 * x = 4 * 45

3x = 180

x = 180/3

x = 60

x = number of delivery vans = 60

Write an equation in point-slope form of the line that passes through the point (7, -4) and has a slope of m=-6.

Answers

Answer:

(-4-y) = -6(7 - x)

Step-by-step explanation:

what is 25/x 15/30 can you please help ​

Answers

Answer:

x = 50.... 25/50 = 15/30 or 1/2 = 1/2

Step-by-step explanation:

25/x = 15/30

consider the cross multiply

25 * 30 = 15 * x

750 = 15x

divide both sides with 15 to make the co-efficient of x, 1.

x = 50

Answer:

5×15/6

5×5/2

25/2

12.2 is your answer ☺️☺️☺️. If I'm right so,

Please mark me as brainliest. thanks!!!

One hundred tickets, numbered 1, 2, 3, …, 100, are sold to 100 people for a drawing. Four different prizes are awarded, including a grand prize (a trip to Tahiti). How many ways are there to award the prizes if a) the person holding ticket 47 wins one of the prizes? b) the people holding tickets 19 and 47 both win prizes?

Answers

Solution :

It is given that four different prizes were awarded. So,

a). 4 ways for person 47 to win a prize

     99 ways to give out the 2nd prize

     98 ways to give the 3rd prize

      97 ways to give the last prize

     ∴  P(99,3) = 99 x 98 x 97

b). 1 way to give person 47 their prize

    1 way to give person 19 their prize

    98 ways to give out the 3rd prize

    97 ways to give out the last prize

    So, P(98,2) = 98 x 97

Which is NOT true?
A 11 = 11
B 11 = 18 - 7
C 11 + 5 = 15 + 11
D 11 + 3 = 6 + 8

Answers

Answer:

C

Step-by-step explanation:

11+5=15

15+11=26

15 does not equal 26

Answer:C 11 + 5 = 15 + 11

Step-by-step explanation:

This is the only one that is false because the left side of the equation is equal to 16 and the right side of the equation is equal to 26

Sammy counts the number of people in one section of the school auditorium. He counts 18 female students, 16 male students, and 6 teachers. There are 720 people in the auditorium. Consider the probability of selecting one person at random from the auditorium

Answers

Correct Question:

He counts 18 female students, 16 male students, and 6 teachers. There are

720 people in the auditorium. Consider the probability of selecting one person

at random from the auditorium.

Which of these statements are true?

Choose all that apply.

A:  The probability of selecting a teacher is 6%.

B : The probability of selecting a student is 85%.

C : The probability of selecting a male student is 32%.

D : The probability of selecting a female student is 45%.

Step-by-step explanation:

Option B  and D are correct because

The total number of people in one cross section = 18 + 16 + 6 = 40.

A = The probability of selecting a teacher is = (6/40)x100 = 15 % not equal to 6 %

B = The probability of selecting a male student is = (34/40)x100 = 85%

C = The probability of selecting a male student is = (16/40)x100 = 40 % not equal to 32 %

D : The probability of selecting a female student is = (18/40)x100= 45%

Please help me and no links

Answers

Answer:

Sam's is nonsense and Kim's is sense

Step-by-step explanation:

why? because 1/3 and 1/6 are not equivalent. and 1/3 is greater. so therfore Kim's makes sense

what is 1/12 in simplest form

Answers

It cant be written any way else its already in its simplest form

There is a manhole cover with a radius of 1 foot. What is the manhole cover's diameter?

Answers

Step-by-step explanation:

This seems like you just want to figure out the circumference of the manhole cover. The formula for the circumference of a circle is pi (3.14) multiplied by the diameter (d) of the circle so, circumference=πd. (π is the symbol for pi and approx. equals 3.14)

Circumference = πd

= 3.14(d)

= 3.14(3)

= 9.42 ft.

The length of the brass grip-strip will be 9.42 ft.

If the problem was stated in terms of the radius of the manhole cover then the formula would be circumference = 2πr which is the radius multiplied by 2 then multiplied by pi.

The radius of a circle is the distance from the center to the edge and the diameter is the distance from one edge of the circle to the other passing through the center of the circle.

Well, if the grip strip were of no width and could be straightened out to a line (which a piece of rubber cut in a circle couldn't be), then the length of the grip would correspond to the circumference of the manhole cover.

Circumference = 2*PI*radius = PI*diameter so your answer is 3*PI feet long.

Circle A has a radius of 16 inches. What is the circumference?

Answers

Answer:

100.571inches

Step-by-step explanation:

Perimeter. =2πr

Perimeter. =2×22÷7×16

Perimeter. =704÷7

Perimeter. =100.571inches

PLEASE GIVE BRAINLIEST

The revenue from a company’s factory in Scranton, PA is given by 2n2-15n+23, where n represents the number of paper goods produced in the factory. The cost in dollars of producing paper goods is given by n2+3n+23. Write and simplify a polynomial expression for the profit from making and selling n paper goods.

Answers

Answer:

The polynomial expression for the profit from making and selling 'n' paper goods, is;

n × (n - 18)

Step-by-step explanation:

The revenue, 'R', and the cost, 'C', from the company's Scranton, PA factory are as follows;

R = 2·n² - 15·n + 23

C = n² + 3·n + 23

The profit, 'P', is the revenue, 'R', in excess of the cost, 'C', therefore;

The profit, P = R - C

By substituting the polynomials representing 'R', and 'C', we have;

P = 2·n² - 15·n + 23 - (n² + 3·n + 23)

∴ P = 2·n² - n² - 15·n - 3·n + 23 - 23

P = n² - 18·n = n·(n - 18)

P = n·(n - 18)

The polynomial expression for the profit from making and selling 'n' paper goods, is P = n·(n - 18).

Lizzy had test scores of: 72, 94, 108, 60What is the RANGE of her test scores?

Answers

Answer:

48

Step-by-step explanation:

To find the range, you have to subtract the biggest/largest number by the smallest number:

108 - 60 = 48

The range is 48.

Hhhhhhhhhhjhhjhhjhjjjjjjhhhhhhhhhh

Answers

Answer:

i know right? It's so difficult till I'm brainless when I try to solving it

Answer:

same tbh

Step-by-step explanation:

HELP !!

In a sequence of numbers, a4=9, a5=15, a6=21, a7=27, and a8=33.

Which recursive rule can be used to find the nth term of the sequence, an?


a1=−9; an=an−1+6

a1=−9; an=6an−1

a1=9; an=an−1+6

a1=9; an=6an−1

Answers

Answer:

Given sequence:

a₄=9, a₅=15, a₆=21, a₇=27, and a₈=33

Common difference is:

33-27 = 27 - 21 = 21 - 15 = 15 - 9 = 6

Find the first term:

a₃ = 9 - 6 = 3a₂ = 3 - 6 = - 3a₁ = -3 - 6 = -9

Recursive formula:

a₁ = -9 and aₙ = aₙ₋₁ + 6

Correct choice is A

I need help with surface area

Answers

Answer:

Surface Area varies by object/shape.

Ask your teacher/learning helper for those formulas of surface area

Step-by-step explanation:

Surface area is the sum of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Angle C and angle D are complementary. The measure of angle C is (2x)° and the measure of angle D is (3x)°. Determine the value of x and the measure of the two angles.
The two angles are
C= 36
D= 54
So what is variable x?

Answers

Step-by-step explanation:

C+D=90

2x+3x=90

5x=90

X=90:5=18

what is the area of the conposite figure?​

Answers

Step-by-step explanation:

Area of Rectangle = Length x Width

Area of Top Rectangle =

[tex]22 \times (31 - 18) \\ = 22 \times 13 \\ = 286 {ft}^{2} [/tex]

Area of bottom Rectangle =

[tex]18 \times 9 \\ = 162 {ft}^{2} [/tex]

Area of Composite figure = Area of top Rectangle + Area of bottom rectangle

[tex] = 286 + 162 \\ = 448 {ft}^{2} [/tex]

Please answer these 3 answers correctly

Answers

Answer: 3. Tan; 4. 4.76; 5. 12

Step-by-step explanation: First question: SOH CAH TOA; if you draw a picture with the given information you know the Opposite and Adjacent sides to the upper left angle, or OA which is also Tan according to Soh Cah Toa. Second question: Use inverse tan(1/12) to solve. Third question: Same idea as the last question but use inverse sin(1/5)

What is the value of x?

Answers

Answer:

106

Step-by-step explanation:

reflection

A sphere has a radius of 9 feet. A second sphere has a radius of 6 feet. What is the difference of the volumes of the spheres? The volume of the larger sphere is π cubic feet greater than the volume of the smaller sphere.

Answers

Answer:

684 π

Step-by-step explanation:

volume of a sphere = (4/3) x (n) x (r^3)

n = 22/7

r = radius

volume of larger sphere

4/3 x n x 9³ = 972 n

4/3 x n x 6³ =288n

972n - 288n = 684n

33.6
25
27
68.4
8
[4 * (4 + 3)] - 3
[17 – 5) = 3] x 2
(5.4 + 3) * (6-2)
[9= 3 +6] * 3
DDDDD.
0
(4 +3.2) * [(9 - 2) + 2.5]

Answers

Step-by-step explanation:

1

A student made 6 bows from 12 yards of ribbon. How many bows can be made from 3

2

yards of ribbon?

2

D A bag of almonds weighs 1-pounds.

help pls and tyyy:)))

Answers

Answer is 1 plug in 1 to 3x-2
F(x)= 3x-2
F(1)= 3(1)-2
3-2= 1


Answer: f(1)= 1

In the small town of Middleton, there are only two restaurants that serve pizza- a small family owned Italian restaurant and a new franchise pizza restaurant. In a recent review of the franchise, a food critic reported that the pizza was delicious as promised. The only negative review that the franchise received from the critic was in reference to the inaccurate delivery time quoted during the online order process. In response to the article, the franchise owner used a program to analyze the online pizza orders that took place during the week before the review. He chose to track the orders at 6pm each day. He recorded his results in the frequency table below.

Use the frequency table to create a box and whisker plot of the On Time data values. In your final answer, include all calculations necessary to create the box and whisker plot.
Use the frequency table to create a box and whisker plot of the Late data values. In your final answer, include all calculations necessary to create the box and whisker plot.

Answers

Answer: 1.

Yes , the data franchise owner is collecting, will be helpful in order to counter the criticism from the critic. As he has a record for every delivery they are making on daily basis.

2.

The scenario is that for every fifth customer , the owner cross the four lines he makes. Thus a pack of five and easy to remember. As the data on regular week days is less, As can do the same for the third customer. Crossing the 2 lines for 3rd customer.

3.

With this provision of crossing the third customer, the owner can have a better check on the late delivery. As it will bring in his notice earlier as compared to fifth crossing.

4.

With the data as provided in the table, we can come to the conclusion that on weekends , i.e. both on time delivery and late deliveries are high in numbers. It must be because of high demand on that days. So owner must make some provision like hiring some more delivery boys for weekend in order to reduce the late deliveries.

Step-by-step explanation:

Find the measurements of DBC

Answers

Answer:

72 degrees

Step-by-step explanation:

To determine the value of DBC, we first have to determine the value of q

Angle on a straight line = 180 degrees

7q - 46 + 3q + 6 = 180

10q - 40 = 180

collect like terms

10q = 180 + 40

10q = 220

q = 22

Substitute for q in angle dbc

3(22) + 6 = 72 degrees

Solve X
[tex] {16}^{ \frac{1}{5} } \times {2}^{x} = {8}^{ \frac{3}{4} } [/tex]
I got X= 9/10
am I right?​

Answers

16^1/5 = 2^4/5 .. & .. 8^3/4 = 2^9/4

____________

2^4/5 × 2^x = 2^9/4

2^16/20 × 2^x = 2^45/20

2^[ ( 16/20 ) + x ] = 2^45/20

16/20 + x = 45/20

x = 45/20 - 16/20

x = 29/20

Amy,Corey, and John go to Central Park to throw a flying disk among themselves. they stand at the positions as shown on the coordinate grid below...PLEASE HELP QUICK! I WILL GIVE BRAILY ANSWER THING PLEASEEE

Answers

Hey I can help answer this but you have to add the picture of the grid

Answer:

B

Step-by-step explanation:

It is what it is

PLS HELP I'LL GIVE YOU BRAINLIEST In a recipe you need 200 g of flour to make 8 cookies. Rosie has 480 g of flour. What is the greatest number of cookies rosie can make?

Answers

Answer:

19 cookies

Step-by-step explanation:

200/8 = 25

25 grams of flour in each cookie.

480/25 = 19.2

Rosie can make up to 19 cookies with 480g of flour

Answer:

The greatest number of cookies Rosie can make is 19 cookies.

Step-by-step explanation:

200g = 8 cookies

400g = 16 cookies

475g = 19 cookies

you only have 480 g of flour and 1 cookie uses 25 g of flour.

Your Welcome!

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