in danville the library is due south of the courthouse and due wesr of the community swimming pool. if the distance between the library and the countries is 3.9 kilometers and the distance between the courthouse and the city pool is 4.4 kilometers, how far is the library fron the community pool? round to the nearest tenth if necessary. (this is pythagorean theorem btw)​

Answers

Answer 1

Answer: 2 kilometers.

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:

c^2 = a^2 + b^2

Where c is the hypotenuse of the triangle, the longest side  (in this case the distance between  the courthouse and the city pool) and a and b are the other sides.

Replacing with the values given:

4.4^2 = 3.9^2 + b^2

19.36 = 15.21+b^2

19.36-15.21 = b^2

4.15 = b^2

√4.15 = b

b=2 km

Feel free to ask for more if needed or if you did not understand something.

In Danville The Library Is Due South Of The Courthouse And Due Wesr Of The Community Swimming Pool. If

Related Questions

Which number is farthest from 1 on the number line?
start root 1.2 EndRoot
start root 1.3 EndRoot
start root 1.4 EndRoot
start root 1.5 EndRoot

Answers

Answer:

start root 1.5 EndRoot

Answer:

d

Step-by-step explanation:

find the volume of the fish tank if the base is a regular octagon with side length 0.9 units and the height of the prism is 2 units

Answers

Answer:

9.2

Step-by-step explanation:

What is the probability of rolling an EVEN number on a 6 sided cube (die) with the numbers 1-6 on the six sides?

Answers

Answer:

The probability is 1/2 because 3/6 numbers are even.

Step-by-step explanation:

Is the relation shown in the arrow diagram a function? Explain.

A No, each input has one output, so the diagram does not represent a function.
B Yes, the input 2 has two outputs, so the arrow diagram represents a function.
C Yes, the inputs 1, 5, and 11 have one output, so the arrow diagram represents a function.
D No, the input 2 has two outputs, so the arrow diagram does not represent a function.

Answers

Answer:

D

Step-by-step explanation:

Each input can not have 2 outputs or else it’s not a function. 2 maps to 21 and 42. It MPs to two outputs. It’s not a function

The volume of box A is 60, and the volume of box B is half the volume of box A. What is the height of box B, a?

Answers

I really don’t know but I hope you find the correct answer

Answer:  The box measurements are as follows: Box A: height = 5 inches, length = 18 inches, width = 10. Box B: height = 8 inches, length = 10 inches, ..

Step-by-step explanation:

What is the expression of 3/4 percent divided between 7/4 and 2/4?

Answers

Answer:

85.714285 reapeating

Step-by-step explanation:

PLs ANSWER EASY 10 points

Answers

Answer:

2 2/5 miles^2

Step-by-step explanation:

For this you have to times the mixed fractions

So....

1 1/5 x 1 1/5

Rewrite it as this 1 + 1/5 + 1 + 1/5

Add the two whole numbers:

1 + 1 = 2

Now the fractions:

1/5 + 1/5 = 2/5

Then:

2 + 2/5 = 2 2/5

What is the correct equation for the line in slope-intercept form?

Answers

Answer:

y = -5x + 35

Step-by-step explanation:

You have two points: (0, 35) and (7, 0).

The slope is [tex]\frac{0-35}{7-0}=-5[/tex]

The y intercept is 35.

y = -5x + 35

Answer

Step-by-step explanat

Find the area. Photo Attached

Answers

Answer:

Area of Regular Polygon: ( About ) 716.6 m^2; Option B

Step-by-step explanation:

~ In this situation we can apply the formula 1/2 * a * P, provided a ⇒ apothem, and P ⇒ Perimeter of the shape ~

Here we are not directly provided with the apothem, so we have to first plan out our procedure step-by-step:

Let us first divide this dodecagon into 12 triangles, each equilateral provided that this is a regular polygon ( implied ). Now let us draw an altitude to one of these triangles, and provided these are equilateral triangles Coincidence Theorem can be applied to this specific triangle. That would mean this altitude is both an angle bisector and a median, which can help us determine the tan degree of the mini triangle formed by the altitude, and the length of one of the sides of this mini triangle.

1. Knowing that the altitude splits the base of the triangle into the two congruent parts ⇒ one of the congruent parts should be ⇒ 8/2 = 4 meters

2. Now the triangles formed through spliting this figure are all ≅, so one of the angles of the triangle is 360/12 = 30 degrees. The mini triangle formed should thus have a measure of 30/2 as the altitude is an angle bisector ⇒ tan 15.

3. From this you can create a proportion, with a  ⇒ apothem:

tan 15/ 1 = 4/a ⇒ tan 15 * a = 4 ⇒ a = 4/tan 15° ⇒ a = ( About ) 14.93

4. The perimeter of this shape would be 8 * 12 ⇒ 96 meters

5. Now let us solve for the area of this regular polygon through substitution into the formula 1/2 * a * P ⇒ 1/2 * 14/93 * 96 = ( About ) 716.64 meters^2

Answer ⇒ Area of Regular Polygon: ( About ) 716.6 m^2

Create an equation with one solution of x = −7.

10x − (x − 2) = 2x − (_+ x)
Full question is on attached image. All help is appreciated :)

Answers

Answer:

10x − (x − 2) = 2x − (40 + x).

The missing number is 40.

Step-by-step explanation:

Let the missing number be a, Then:

10x - (x - 2) = 2x - (a + x)

10x - x + 2 = 2x - a + x

9x - 2x - x = -a - 2

6x = -a - 2

When x = -7:

6(-7) = - a - 2

-42 + 2 = -a

-40 = -a

a = 40.

So the equation is

10x − (x − 2) = 2x − (40 + x).

10 cm

8 cm

6 cm

What is the value of tan xº?

what is the value of tan x

Answers

This question is incomplete because it lacks the appropriate diagram.

Please find attached to this answer , the appropriate diagram

Answer:

First option tan x° = 8 ÷6

Step-by-step explanation:

When we solve for angles in a right angled triangle or we are trying to find one if the sides of a right angled triangle, we used trigonometric functions to find our answers. These trigonometric functions include Sine (sin) , Cosine (cos) and Tangent (tan)

Tangent also called short form tan is used when solving problems involving a right angled triangle.

A right angled triangle has 3 sides, the Hypotenuse, the opposite side and the adjacent side.

When we are asked to find the tangent of an angle,

tan = Opposite side / Adjacent side

In the question above, we are asked to find tan x° where x is the angle.

The opposite side = 8cm

The adjacent side = 6cm

Therefore, tan x° = 8cm/6cm = 8cm ÷ 6cm

100 points.

Plz complete question 2 only.

Answers

Answer:

see below

Step-by-step explanation:

2 1/2+ 3 3/16 + 7/8

Get a common denominator of 16

2 8/16 + 3 3/16 + 14/16

5 25/16

5 + 16/16 + 9/16

6 9/16

Subtract this from 8 ft

8 - 6 9/16

Borrow 1 from 8 in the form of 16/16

7 16/16 - 6 9/16

1 7/16

b  1 7/16 - 1 1/3

The common denominator is 48

1 21/48    - 1 16/48

5/48

Answer:

2a)   [tex]1\frac{7}{16}[/tex]

2b)   [tex]\frac{5}{48}[/tex]

Step-by-step explanation:

The first thing we need to do is add all the fractions together so,

2a)      [tex]2\frac{1}{2} +3\frac{3}{16}+\frac{7}{8}[/tex]

We need to find the LCM of the denominators in order to properly add the fractions together so the LCM is 16

[tex]2\frac{1}{2} +3\frac{3}{16}+\frac{7}{8}[/tex]   =  [tex]2\frac{8}{16} +3\frac{3}{16} +\frac{14}{16} = 5\frac{25}{16} =6\frac{9}{16}[/tex]

Now we subtract this from 8 as asked in the question,

[tex]8-6\frac{9}{16} =\frac{8}{1} -\frac{105}{16} =\frac{128}{16} -\frac{105}{16}=\frac{23}{16} =1\frac{7}{16}[/tex]

2b) We are asked to minus the fraction   [tex]1\frac{7}{16}[/tex]   from    [tex]1\frac{1}{3}[/tex]

Find the common denominator which is 48

[tex]1\frac{7}{16} -1\frac{1}{3} =1\frac{21}{48} -1\frac{16}{48} =\frac{5}{48}[/tex]

A fair number cube is rolled four times. What is the probability of getting a 6 all four times.

Answers

Answer:

1/4

Hope its correct, if so. pls mrk as brainliest

2. How many times smaller is the surface area of a sphere if the radius is multiplied by 1/2?​

Answers

If a number is multiplied by 1/2, this means that it strinks 2 times.

For example, we have the radius of 4.

If multipled by 1/2, we get 2.

So, the radius is now 2 times smaller than the original radius.

So, the radius of the sphere will be 2 times smaller than what it originally was.

Best of Luck!

Determine whether each set of side lengths could be the sides of a right triangle. Drag and drop each set of side lengths to the correct box. Right Triangle Not a Right Triangle 10.5 cm, 20.8 cm, 23.3 cm6 cm, 22.9 cm, 20.1 cm

Answers

Answer:

Right Triangle-10.5 cm, 20.8 cm, 23.3 cmNot a Right Triangle-6 cm, 22.9 cm, 20.1 cm

Step-by-step explanation:

Given the sets of side lengths of a triangle:

10.5 cm, 20.8 cm, 23.3 cm6 cm, 22.9 cm, 20.1 cm

To verify whether each set of side lengths could be the sides of a right triangle, we use the Pythagorean Theorem. Note that the longest side is always taken as the hypotenuse.

Pythagoras Theorem: [tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]

In the set of side lengths 10.5 cm, 20.8 cm, 23.3 cm

[tex]23.3^2=20.8^2+10.5^2\\542.89=432.64+110.25\\542.89=542.89[/tex]

Clearly these satisfies the required theorem and thus are side lengths of a right triangle.

In the set of side lengths 6 cm, 22.9 cm, 20.1 cm

[tex]22.9^2=20.1^2+6^2\\524.41\neq 440.01[/tex]

Clearly these does not satisfy the required theorem and thus are not side lengths of a right triangle.

What is 30% as a decimal

Answers

its is 10 because its not even

What’s the answer guys

Answers

Answer:

27/28

Step-by-step explanation:

Please help it is about precent of change. ( highest number of points )

14 books to 40 books. Tell me the precent of change.

Answers

Answer:

185.714% increase

Step-by-step explanation:

Solution:

Calculate percentage change

from V1 = 14 to V2 = 40

(2−1)|1|×100

=(40−14)|14|×100

=2614×100

=1.85714×100

=185.714%change

=185.714%increase

Hi, can you pls find the area of this shape? please find it fasttttt

Answers

Answer:

20

Step-by-step explanation:

Area = ((7+3) x 4) ÷ 2 = 20

simplifye this expression 54n + 78 divided by 6 =

Answers

Answer:

9n + 13

Step-by-step explanation:

(54n + 78)/6

Divide 6 from all terms within the parenthesis:

(54n)/6 = 9n

(78)/6 = 13

9n + 13 is your answer.

~

Answer: 54n+13

Simplify

78÷6=13

54n+78/6=54n+13

Please help!!
Only find total surface area and volume.

Answers

Answer:

see explanation

Step-by-step explanation:

The triangular prism has 3 rectangular faces and 2 congruent triangular faces.

rectangular base CDEF = 8 × 2 = 16 cm²

rectangular side ABFE = 6 × 2 = 12 cm²

sloping rectangle ABCD = 10 × 2 = 20 cm²

2 triangular faces = 2 × [tex]\frac{1}{2}[/tex] × 8 × 6 = 48 cm²

Total surface area = 16 + 12 + 20 + 48 = 96 cm²

----------------------------------------------------------------------

The volume (V) of the prism is calculated as

V = Bh ( B  is the area of triangular face and h the depth of the prism )

B = [tex]\frac{1}{2}[/tex] × 8 × 6 = 24 cm² and h = 2 cm

V = 24 × 2 = 48 cm³

what is the area of the parallelogram shown below

Answers

Answer:

please add an image my bro

Step-by-step explanation:

we cant answer without knowing what it looks like

Answer:

answer my questions also

Step-by-step explanation:

Two numbers have a sum of 32 and a difference of 6. Find two numbers.

Answers

The two numbers are 19 and 13 because 19+13=32 and 19-13=6
Hope this was helpful :)

How to do this question

Answers

Answer:

Length of the shorter diagonal is 8.68 cm.

Step-by-step explanation:

Length of the side AB = 11 cm

Length of side BC = 5 cm

Angle between these sides, m∠ABC = 50°

By cosine rule in ΔABC,

AC² = AB² + BC² - 2AB.BC.cos B

AC² = (11)² + 5² - 2(11)(5)cos50°

AC² = 121 + 25 - 70.71

AC = √(75.29)

AC = 8.68 cm

By the property of parallelogram,

m∠B + m∠C = 180° [Interior consecutive angles]

50° + m∠C = 180°

m∠C = 130°

Similarly, In ΔBCD,

BD² = BC² + CD² - 2BC.CD.cos130°

BD² = (5)² + (11)² - 2(5)(11)cos130°

BD² = 25 + 121 + 70.71

BD² = 216.71

BD = 14.72 cm

Therefore, length of the shorter diagonal will be 14.72 cm.

If tangents PA and PB from a point P to a circle with centre O are inclined to each other at an angle of 100°, then ∟BOA is equal to ____________
pls answer fast

Answers

Answer:

[tex] m\angle BOA = 80\degree[/tex]

Step-by-step explanation:

PA and PB are tangents to the circle with center O at points A and B respectively.

[tex]\therefore OA \perp PA\:\: \& OB \perp PB....(\because tangent\perp radius)\\\therefore m\angle OAP=m\angle OBP = 90\degree\\m\angle APB = 100\degree\\OAPB \: is \: a\: quadrilateral\\\therefore m\angle APB+m\angle OAP+m\angle OBP+m\angle BOA = 360\degree\\\therefore 100\degree + 90\degree+ 90\degree+ m\angle BOA = 360\degree\\\therefore 280\degree + m\angle BOA = 360\degree\\\therefore m\angle BOA = 360\degree-280\degree \\\huge\red{\boxed{\therefore m\angle BOA = 80\degree}}[/tex]

5 friends plan to split a restaurant Bill evenly. The total cost of the meal is $89.75, and they want to leave a 20% tip. what amount should each friend pay?

Answers

Answer:

£17.51

i used try and error

PLEASE HELP ME ASAP

Given circle O, find the value of x .

Answers

Answer:

278

71.5 for triangles

Step-by-step explanation:

Because 32 + 45 = 82

its a circle so a circle is 360 degrees

so 360 - 82 =

278

Triangles: 180 - 37 then 143 ÷ 2 = 71.5

Your welcome!!

Lincoln and Natalie are workers in a factory making widgets. Lincoln can make 25 widgets per day in the factory. Natalie is able to produce 8% more widgets per day than Lincoln. How many widgets can Natalie make per day?

Answers

Answer:

27 widgets

Step-by-step explanation:

25÷100=0.25=1%

0.25×8=2=8%

25+2=17

What digit is in the ten thousand place 7,612,045

Answers

Answer:

the digit in the ten thousandths place is 1

Step-by-step explanation:

Answer:

1 is the digit that is in the ten thousandth place

Step-by-step explanation:

can i get brainlisest

Lee Ann earned $102.00 working for 8 hours at her job as a secretary at her second job in the mall, she earned $40.50 working for 180 minutes. At which job did lee Ann earn the most per hour? Show your work

Answers

Answer:

top lines of explanation

Step-by-step explanation:

at the secretary job she made 12.75 an hour

second job she made 13.50 an hour

180 minutes is 3 hours divide 40.50 by 3 and get 13.50

102.00 divided by 8 is 12.75

Step-by-step explanation:

8 hours = 102.00

1 hour = 102 ÷ 8 = 12.75

180 min = 3hr

3hr = 40.50

1hr = 40.50 ÷ 3 = 13.5

2nd job

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