Two people meet in the conference room on the fourth floor of a building. On departure, one person travels West
24 feet, South 18 feet, and Down 18 feet. The other person travels North 24 feet, East 12 feet, and Up 18 feet.
How far apart are the two people? Round to the nearest tenth.

Answers

Answer 1

Answer:

36*(5)^0.5

Step-by-step explanation:

distance on horizontal  36 feet

distance on vertical 78 feet

so distance between them = (36^2+78^2)^0.5 = 36*(5)^0.5

Answer 2

The two people are 66 feet apart from each other.

How to elaborate the problem ?

The 1st person travels 24 feet west, 18 feet south and 18 feet down.

The location of 1st person is (-24, -18, -18) , the negative sign is to convert all in same direction.

The 2nd person travels 12 feet east, 24 feet north and 12 feet up.

The location of 2nd person is (12, 24, 18)

How to find the distance between them ?

The distance between  (-24, -18, -18) & (12, 24, 18 = [tex]\sqrt{(-24-12)^{2}+(-18-24)^{2}+(-18-18)^{2} }[/tex] feet

= [tex]\sqrt{(-36)^{2}+(-42)^{2}+(-36)^{2} }[/tex]) feet

= 66 feet

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Related Questions

order 130 inches, 4 yards, 10 feet from greatest to least

Answers

Answer:

Step-by-step explanation:

Before comparison can take place, these three measurements must be expressed in the same unit of measurement:

130 inches becomes 130/12 feet, or 10.83 ft;

4 yards becomes 4*3 feet, or 12 feet; qne

10 feet stays as is.  

It becomes obvious that the greatest measurement is 12 feet, followed by 10.83 feet, followed by 10 feet.

The ordered list from greatest to least is 4 yards, 130 inches, 10 feet.

What is Unit of Measurement ?

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

First, we need to convert all the units to a common unit before we can compare them.

Let's convert them all to inches:

4 yards = 12 feet × 4 = 48 feet = 48× 12 inches = 576 inches

10 feet = 10 × 12 inches = 120 inches

Now we have: 130 inches, 576 inches, 120 inches

Ordering from greatest to least, we get:

576 inches, 130 inches, 120 inches

4 yards, 130 inches, 10 feet

Therefore, the ordered list from greatest to least is 4 yards, 130 inches, 10 feet.

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two boxes are stacked one on top of the other. one box is 5 feet 3 inches tall, and the other is 5 feet 10 inches tall. how high is the stacks?

Answers

11 feet 1 inch
12inches= 1 foot
5+5=10ft
3+10= 1ft 1inch

) What is the perimeter? use 3.14
(4 pts.)
for pi.
beri
What is the total area? use 3.14 for pi.

Show ur work 30 points

Answers

Answer:

34.54

Step-by-step explanation:

11in as diameter

3.14 as pi

11x3.12=34.54

Pls dont get mad if im wrong im trying my best :)

Answer:

73.81 in

Step-by-step explanation:

First we begin with the 3/4 circle perimeter:

(3.14) * diameter * 3/4

[tex](3.14) * 22 * \frac{3}{4} = 51.81[/tex]

Then we add the two remaining lines:

11 + 11 = 22

Adding up these two we get:

[tex]51.81 + 22 = 73.81[/tex]

The figure shows a blueprint of a dining room, kitchen, and living room. Each square has a side length of 1/4 inch. Hardwood floors cost $11 per square foot. What is the cost of hardwood flooring for the dining room?



The cost of the hardwood flooring for the dining room is $
.

Answers

Step-by-step explanation:

Each square has a side length of 1/4 inch but you have said each square=1/4

Once you have found the amount of 1/4 inches you multiply the two numbers together, only then do you multiply it to $11 for the square area.

Side:-1/4in=0.25in

Area:-

side²0.25²0.0625in²

Cost:-

0.0625(11)0.6875$

What is the value of x? Your answer may be exact or rounded to the
nearest tenth.

Answers

91 because the one on the left tip and top equal the outside always!!! hope this helps!!

The value of x in the given figure is 91 degrees.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

We need to find the value of x in the given figure.

To find x, firstly we need to find the unknown interior angle.

By Angle sum property the sum of three angles of a triangle is 180 degrees.

a+54+37=180

a+91=180

Now subtract 91 from both sides

a=180-91

a=89 degrees.

Now let us find the value of x which is adjacent to 89 degrees.

The sum should be 180 degrees

a+x=180

89+x=180

Subtract 89 from both sides

x=91 degrees

Hence, the value of x in the given figure is 91 degrees.

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) What is the slope and y-intercept of this line?

y = –4x + 7



Question 8 options:

slope: 4, y-intercept: –7


slope: –4, y-intercept: 7


slope: 7, y-intercept: –4


slope: -7, y-intercept: -4

Answers

Answer:

slope: -4 y intercept 7

Step-by-step explanation:

when using the formula y=mx+b

The slope is the fraction for m -4/1 or -4.

The y intercept is 7 and thats where the graoh starts.

Answer: slope: -4, y-intercept: 7

Step-by-step explanation: I just took the test :)

If twice the age of son is added to age of father, the sum is 56. But if twice the age of the father is added to the age of son, the sum is 82. Find the ages of father and son.

Answers

Answer:

Age of Father- 36

Age of Son- 10

What is V=(3.14)(12x12)(12)

Answers

Answer:

5,425.92

Step-by-step explanation:

multiply 12×12

then mulitply 144×3.14×12

What is the equation of a line that is perpendicular to 2x+y=−4 and passes through the point (2, −8)?
please help!!!!!!!!!!!!!!

Answers

Answer:

y2=(1/2)x-9

Step-by-step explanation:

y= -2x-4

perpendicilar so multiplication of slope is -1

-2*m2=-1

m2=1/2

y2=(1/2)x+c need to passes trough (2,-8)

-8=(1/2)*2+c

-8=1+c

c=-9

y2=(1/2)x-9

Yummy Cookies just opened a brand new cookie bakery, and sales are increasing every month!
In January, the baker made 10 chocolate chip cookies. In February, the baker doubled the January order, took 6 cookies home to his family, and sold the rest. If the baker continues to double the full amount and then brings 6 cookies home to his family, how many cookies will the baker sell in March and April?
Will mark Brainliest to the first answer!

Answers

Answer:

In March the baker will sell 34 chocolate chip cookies. In April he will sell 74 cookies.

Step-by-step explanation:

So first, we end up doubling the original amount of cookies from January for February which gets us 20 cookies, he takes 6 homes leaving us with 14. He continues to double the FULL amount so he doubles 20 for March which gets us 40, then we again take 6 away leaving us with 34. We do the same thing for April. Double 40 getting 80, take away 6 you get 74. Done.

20*2-6=34 40*2-6=74
March-34
April-74
I think this is it

25 PTS Help pls
If a single card is drawn from a standard 52-card deck, what is the probability it is a diamond or a face card (Jack, Queen, or King)?
A. 11/26
B. 2/7
C. 1/4
D. 2/52

Answers

Using it's concept, it is found that the probability that the card is a diamond or a face card is given by:

D. 25/52

What is a probability?

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

A standard deck has 52 cards, of which 13 are diamond and 12 are face, hence:

p = (13 + 12)/52 = 25/52.

Which means that option D(25/52) is correct.

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If 2x - 3y = 14 and -x + 2y = -8
what is the value of x+y?

Answers

answer = 4 does it is correct

3 of 5
Find the midpoint of the line segment with end coordinates of:
(-3,-1) and (-4, 2)
Give coordinates as decimals where appropriate.

Answers

Answer:

(-3.5, 0.5)

Step-by-step explanation:

Midpoint Formula

M (x, y) = (x₁ + x₂ / 2, y₁ + y₂ / 2)

Solving

M (x, y) = (-3 - 4 / 2, 2 - 1 / 2)M (x, y) = (-7/2, 1/2)M = (-3.5, 0.5)

What is the value of x?
What is the value of y?

Answers

Answer:

Step-by-step explanation:

Use Pythagorean's theorem. The two shorter sides (6+x) and 20 are apart of a right triangles of a hypotenuse of (18+6). Therefore:

[tex](6+x)^2+20^2} =(18+6)^2[/tex]

[tex](6+x)^2+400 =576[/tex]

[tex](6+x)^2=176[/tex]

Take the square root of both sides:

[tex]6+x=\sqrt{176}[/tex]

[tex]x=\sqrt{176} -6[/tex]

Moving on to the smaller triangle, we can find the value of 'y' to be:

[tex]6^2+y^2=18^2[/tex]

[tex]y^2+36=324[/tex]

[tex]y^2=288[/tex]

[tex]y=\sqrt{288}[/tex]

Pythagorean Theorem
(Rounding)
Find the length of the third side. If necessary, round to the nearest tenth.

SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!!!

IMAGE DOWN BELOW!!

Answers

the answer would be 7

The angle of elevation of the top of a building from the foot of a tower is 70° and the angle of elevation of the top of the tower from the foot of the building is 40°. Find the height of the building if the tower is 50 m tall.

Answers

The height of the building located at a distance from the tower is approximately 163.716 meters.

How to determine the height of a building

After a careful reading to the statement, we represent all the information given in a geometric diagram. In this question we must apply trigonometric relationships to calculate the height of the building (h), in meters, based on the fact of the existing two right triangles. The diagram is presented in the image attached below.

Now we proceed to calculate the height of the building:

[tex]h = \left(\frac{50\,m}{\tan 40^{\circ}} \right)\cdot \tan 70^{\circ}[/tex]

h ≈ 163.716 m

The height of the building located at a distance from the tower is approximately 163.716 meters. [tex]\blacksquare[/tex]

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The admission fee at an amusement park is $ 1.75 $1.75 for children and $ 6.20 $6.20 for adults. On a certain day, 301 301 people entered the park, and the admission fees collected totaled $ 1350 $1350 . How many children and how many adults were admitted

Answers

Answer: I would say that you have to divide the children's cost and the total amount of money. you would do the same for the adults as well

1,350/1.75= 780 Children

1,350/6.20= 220 Adults

Une bouteille cylindrique de 12 cm de hauteur a une capacité de 1 L quel est le rayon de sa base

Answers

Answer:

≈5.15 [cm].

Step-by-step explanation (English version):

1) Capacity - V - 1000 cm³;

height - h - 12 cm;

radius - r - ?

2) the initial formula is:

V=π*r²*h, where π=3.1415;

then final formula of the required r is:

[tex]r=\sqrt{\frac{V}{\pi *h}};[/tex]

3)   [tex]r=\sqrt{\frac{1000}{3.1415*12}} =\sqrt{26.5266} =5.15[cm].[/tex]

If charged per cut, how much will it cost
to cut a log into eight pieces if cutting it
into four pieces costs $12?

Answers

Answer:

24

Step-by-step explanation:

4x=12

x=12/4

x=3

8×=?

8(3)=24

therefore, 8 pieces will cost 24.

another way is:

since 8 is 4×2

you could double the amount of money

12x2

which would also give you $24

If charged per cut, it will cost 24 dollar to cut a log into eight pieces if cutting it into four pieces costs $12

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that to cut a log into eight pieces if cutting it into four pieces costs $12.

Thus,

4x=12

x=12/4

x=3

Hence, for 8 pieces

8(3)=24

therefore, 8 pieces will cost 24.

If charged per cut, it will cost 24 dollar to cut a log into eight pieces if cutting it into four pieces costs $12

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A $24.99 shin is on sale for 15% off. You have a coupon that will take an additional 10% off, after the first coupon. Your friend says. "Why don't they just take 25% off? It's the same amount!" She then adds. "Isn't it? How do you respond? Justify your answer. Do not round!

also its due on Thursday April 14​

Answers

Answer:

Its not the same

Step-by-step explanation:

Hey there!

I would respond to him by telling him that its first 15% off then you can add the 10%

First, you would take out the 15% from $24.99 which would make the price $21.25.

Then you would take out the 10% which makes the final price $19.13

This is because the 10% was added later.

If you took out 25% in the begining the final price would be $18.75 not $19.13

can i have help with this

Answers

Answer:

Option D

Step-by-step explanation:

Square:

     Side = 25 ft

    Area of square = side * side

                              = 25*25

                              = 625 square ft

Area of semicircle:

diameter = 25 ft

r = 25/2 = 12.5 ft

[tex]\boxed{\text{Area of semicircle =$ \dfrac{\pi r^{2}}{2} $}}[/tex]

                              [tex]=\dfrac{3.14 * 12.5*12.5}{2}\\\\\\= 245.3 \ square \ ft[/tex]

Area of the shaded region = area of square - area of semicircle

                                              = 625 - 245.3

                                              = 379.7 square ft

Help my sister she doesn’t understand this and I got to go

Answers

Answer:

1/2

1/4

2/4

1/4

2/4

1/4

The expression (x^22) (x^7)^3 is equivalent to x^p what is the value of p?

Answers

The expression (x^22) (x^7)^3 is equivalent to x^p what is the value of p

Answer:

p = 43

Step-by-step explanation:

(x²²)(x⁷)³

first, multiply the power of 7 times the power of 3

(x⁷)³ = x⁷ ° ³ = x²¹

second, add the power of (x²²) with (x²¹)

x²² ⁺ ²¹ = x⁴³

therefore, the value of p = 43

I hope this helps!

The diagram shows the shape of Jane's backyard find the area of Jane's backyard.

Answers

Answer:

1065 square feet

Step-by-step explanation:

seperate the composite shape into two rectangles:

Calculate the area of shape 1:

A=bh

To get the base 55-20= 35

35x15 = 525


calculate the area for shape 2:

A=bh

20x27 = 540


525+540= 1065

Answer:

1065 square feet

Step-by-step explanation:

Area of backyard

Left rectangle + Right rectangle27 x 20 + 15 x (55 - 20)540 + 15 x 35540 + 5251065 square feet

What is 85% of 21?
I need to know for school because we're doing this project.

Answers

Answer:

85% of 21 is 17.85.

Find the common difference of the arithmetic sequence 4, 2, 0,

Answers

Explaination :

Remember that common difference is simply calculated by substracting the second number from first number. i.e., (4 - 2 = 2)

Therefore,

Common difference is 2

Additional Information :

Arithmetic progression (A.P.) is a sequence in which each term can be found by adding a certain quantity to its preceding termDifference between two consecutive terms is called common differenceProgression means it's a type of sequence in which each term is related to its predecessor and successor.

What type of triangle is defined by the following set of side lengths
12, 8, 16
Question 3 options
Acute
Obtuse
Right
Not a triangle

Answers

The type of triangle defined by the following set of side lengths is an obtuse triangle

Properties of a triangle.

Triangles are 2-dimensional shapes with 3 sides and angles.

The triangle with the sides 12, 8 and 16 is considered a triangle since the sum of two of its sides is greater than the third.

The triangle is not right angle since the sum of its longest side is not equal to the sum of the square of other two sides.

This shows that the triaangle can either be acute or obtuse. Since one of the sides differes from the other by 8 units, hence one of its angles will be greater than 90 degrees.

This shows that the type of triangle defined by the following set of side lengths is an obtuse triangle

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Given the following construction, which of the following can you now create?

Select ALL that apply.


options:

square


equilateral triangle


rhombus


the midpoint of segment AB


perpendicular bisector of segment AB

Answers

square is the correct answer

help me pls i really need help​

Answers

Step-by-step explanation:

m<2: 65°( vertically opposite angle)

m<3: 180°-65°=115°(sum of straight line)

m<4: 180°- 65° = 115° (sum of straight line)

Draw a line between 5 and 6.

m<5: 180°- m<7=180-115=65

m<7 = m<4=115°(corresponding angle)

m<8 = m<5 =65°(vertically opposite angle)

m<6=m<7=115°( vertically opposite angle)

in this way 10,11,12 will be find.

Please feel free to ask if you have any questions

Please Mark me as Brainliest .

Thanks

Step-by-step explanation:

correct this answer

mark a brain less

An account statement has a balance of 109 dollars and 75 cents. carl is balancing his checking account. after comparing the bank statement to his register, he notices an outstanding debit of $58.00. which shows the correct amount in carl’s checking account? $51.75 $109.75 $167.75 $221.87

Answers

The correct amount in carl’s checking account will be $51.75. Then the correct option is A.

What is subtraction?

It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.

An account statement has a balance of 109 dollars and 75 cents.

Carl is balancing his checking account.

After comparing the bank statement to his register, he notices an outstanding debit of $58.00.

Then the correct amount in carl’s checking account will be

→ 109.75 - 58 = $ 51.75

More about the subtraction link is given below.

https://brainly.com/question/4319655

Answer:

Step-by-step explanation:

a

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