Kim is building a triangular dog pen. She will use an existing 10 m wall as one side. She will then build a fence going out at a 45°
angle on one side of the wall and a 65° angle on the other side. How much chain-link fence is needed to complete the fence?
es )

Answers

Answer 1
The correct answer would 27.2 m
Answer 2

Answer:

  17.2 ft

Step-by-step explanation:

The angle that the fence makes opposite the wall is ...

  180° -45° -65° = 70°

The law of cosines can be used to find the lengths of fence needed.

The fence opposite the 45° angle will have a length of ...

  short side = (10 ft)·sin(45°)/sin(70°) = 7.525 . . . feet

The fence opposite the 65° angle will have a length of ...

  long side = (10 ft)·sin(65°)/sin(70°) = 9.645 . . . feet

Then the total length of fence required is ...

  7.525 ft +9.645 ft = 17.170 ft

About 17.2 feet of chain-link fence is required to complete the enclosure.

_____

We have assumed there is no chain-link fence along the 10 ft wall.

_____

The Law of Sines tells you that for sides a, b, c and opposite angles A, B, C, you have ...

  a/sin(A) = b/sin(B) = c/sin(C)

For some given side 'a' and opposite angle A, the other two sides can be found from their opposite angles as ...

  b = sin(B)·a/sin(A)

  c = sin(C)·a/sin(A)

Kim Is Building A Triangular Dog Pen. She Will Use An Existing 10 M Wall As One Side. She Will Then Build

Related Questions

A percent is the numerator of a ratio whose denominator is A. 25 B. 50 C. 75 D. 100

Answers

I am sure the answer is D

Answer:

D 100

Step-by-step explanation:

60% = 60/100

70% =70/100

7 divided by 900 please help this question is annoying

Answers

it is 0.007777777777778
hi! it’s 0.0078 (rounded up) .. maybe just put it in a calculator next time and it’ll give you the answer :)

In a Euler diagram, “No X are Y” would be represented how?

Answers

Answer: Two separated circles, one called X and the other called Y.

(so there is no element of the set X that is also in the set Y)

Step-by-step explanation:

"No X are Y"

This means that there is not a single element in the set X that is also in the set Y.

So in an Euler diagram, you can represent this as two circles, one called Y and other called X, where the circles do not intersect or touch at any point.

This particular case is represented similarly to how you would represent it in a  Venn diagram

If you have a problem that has multiple variables, you can solve it using a
system of equations. Think of a real-world example where you would need
to solve using a system of equations. Write two or three sentences
describing your example. Include the equations in your description, but do
not solve the system. That will be left to your classmates. helppppp

Need help and show work plz

Answers

Answer: (A) 15 degrees

====================================================

Explanation:

With any parallelogram, the adjacent angles always add to 180 degrees.

(angle ADC) + (angle DCB) = 180

(angle ADC) + 120 = 180

angle ADC = 180 - 120

angle ADC = 60 degrees

--------

Angles 1 and 2 combine to form angle ADC by the angle addition postulate. This is just the idea of gluing smaller angles to form larger ones.

(angle 1) + (angle 2) = angle ADC

45 + (angle 2) = 60

angle 2 = 60-45

angle 2 = 15 degrees

The answer is 15 degrees

What is 8.875% as a decimal and fraction in lowest terms???


I need help pls. Thxs!

Answers

Answer:

0.08875

71/800

Step-by-step explanation:

8.875% = 8.875/100 = 0.08875

8.875% = 8.875/100 = 8875/100000 = 1775/20000 = 355/4000 = 71/800

Answer:

0.08875

Step-by-step explanation:


The steepness or grade of a road is expressed as a percent. if a road rises 6feet for every 24 horizontal feet. What is the slope of the road? what percent grade is this ?

Answers

Answer:

  25%

Step-by-step explanation:

The ratio of rise to run is ...

  rise/run = 6 ft/24 ft = 1/4

Expressed as a percentage, this is ...

  1/4 × 100% = 25%

_____

Comment on this grade

Interstate highways are limited to a 7% grade. Most local jurisdictions limit the grade of a road to somewhere between 12% and 15%.

um the person above me answered it

pleeeaaaasseeeee help me!!!
determine the percent of change. round to the nearest whole percent if necessary. original: 250 new: 100

Answers

Answer:

going from new to original would be times 2.5

from original to new would be time 0.4

Step-by-step explanation:

new to original is the 250/100

original to new is 100/250

Answer:

-60%

Step-by-step explanation:

First, find the difference

250 - 100 = 150

Then divide the decrease by the original number

150/250 = 0.6

And to convert this to a percentage all you have to do is multiply it by 100

0.6(100) = 60

The percent of change is -60% which is a decrease since it's negative

Can someone help me with this math problem

Answers

Answer:

B. (m-1)(m-8)

Step-by-step explanation:

The factors of 8 (constant term) are

{(1,8), (2,4)}, from which we see that 1+8 = 9, the absolute value of the coefficient of the second term.

Therefore we can group the expression as

m^2 - 9m + 8

= m^2-m - (8m -8)

then factor each group

= m(m-1) - 8(m-1)

and factor out (m-1)

= (m-1)(m-8)

(m-1)(m-8) is the correct answer

John and Maria also want to put new tile in their living room. The floor measures 20 feet long by
20 feet wide. The tiles they want to purchase cost $2.25 each, and each tile covers exactly 1 square
foot of floor space. How much will they need to spend on tile? (Section 10.8) (1 point)

Answers

Answer:

$900

Step-by-step explanation:

First, find the area of the floor with the equation A = lw

A = lw

A = (20)(20)

A = 400 ft²

Since each tile covers 1 sq ft and the floor's area is 400 sq ft, they will need 400 tiles.

To calculate the total cost, multiply 400 by 2.25

400(2.25) = 900

= $900

900 dollars they will spend

What is the solution to -5 + z = -12 A. z = -17 B. z = -7 C. z = 7 D. z = 17

Answers

Answer: -7

Step-by-step explanation:

Your answer is B. Z= -7

Find RS. A. 5 B. 10 C. 9 D. 12

Answers

Answer:

RS = 5

Step-by-step explanation:

To find x use the equation 2x - 6 + 1 + x - 4 = 18

When you solve this x should equal 9

To find RS plug in x in (x-4)

9 - 4 (5)

Answer:

5 (Answer A)

Step-by-step explanation:

From the diagram we know that 2x - 6 + 1 + x - 4  must equal  18.

Then 2x - 6 + 1 + x - 4 = 18.  Combining like terms, we get:

3x - 5 - 4 = 18, or 3x - 9 = 18

Then 3x = 27, and so x must be 9.

Then the length of RS is 9 - 4 = 5 (Answer A)

Solve for u, Simplify your answer as much as possible

52=5u-8

Answers

Answer:

u = 12

Step-by-step explanation:

52 = 5u - 8

Step 1. Add 8 to both sides

60 = 5u

Step 2. Solve for u

5u = 60

u = 60/5

u = 12

Answer:

12 = u

Step-by-step explanation:

52=5u-8

Add 8 to each side

52+8=5u-8+8

60 = 5u

Divide each side by 5

60/5 = 5u/5

12 = u

An isotope of lead, 201Pb, has a half-life of 8.4 hours. How many hours ago was there 70% more of the substance? (Round your answer to one decimal place.) hr

Answers

Step-by-step explanation:

half life time-50%-8.4hr

so for 10%- 8.4/5=1.68 hr

now for 70%

1.68 × 7 = 11.76 hrs

to one decimal place - 11.8hrs

11.8 hours ago, there were 70% more of the substance if an isotope of lead has a half-life of 8.4 hours.

What is half-life?

Half life is the time that it takes for half of the original value of some amount of a radioactive element to decay.

Half-life period - 50% -8.4hours

so for 10%- 8.4/5 = 1.68 hour

now for 70%

1.68 × 7 = 11.76 hours

To one decimal place - 11.8hours

Hence, 11.8hours is the answer.

To learn more about half-life here

https://brainly.com/question/17159063

#SPJ2

can someone answer this QUICKLY and make it make SENSE please

Answers

Answer:

3x6, (3)(6), 6+6+6

Step-by-step explanation:

The are asking which equation matches the situation,...

3 tables, 6 chairs per table = 3 x 6chairs = 18 chairs

3x6

(3)(6)

6+6+6

What they want you to do is put that equation 3x6 in the "Represent the Situation" box and the rest in the "Do not represent Situation" one

I need the same one

Find the simple interest on \$5,000 at 4% interest for 3years.

Answers


As SI =PTR/100
SI=600$
600 hope this helps :)

simplify (45) - (+14)​

Answers

Answer:

31

Step-by-step explanation:

(45) - (+14)

45 - 14 (Negative sign is distributed)

=31

Is 31
Cause 45 -14 =31

Please help answer all these questions. I will give brainliest questions aint in order

Answers

Answer:

please send the questions again

This is the letter c

write the percent as a fraction or mixed number in simpelst form 35% A) 3 1/2 B) 13/20 C) 6 1/2 D) 7/20

Answers

Answer:

7/20

Step-by-step explanation:It is the same thing as .35. So just turn it into fraction and simplify.

Answer:

D) 7/20

Step-by-step explanation:

Divide 35 by 100:

35 / 100 = .35

Convert into a fraction and simplify:

[tex].35=\frac{35}{100}=\frac{35/5}{100/5}=\boxed{\frac{7}{20}}[/tex]

Option D should be the correct answer.

According to the 2000 census, the population of a city was 935,426. According to the 2010 census, the population of the same city was 934,578. Taylor says the 2000 population was greater than the 2010 population.

1. - Construct an argument that supports Taylor's conjecture.
2. - In 1870, the population was seventy-two thousand, five hundred six. Lupita wrote 72,560. Construct a math argument that explains whether Lupita wrote the number correctly.

Answers

1. Taylor is correct because in the thousands place there is a a five for 2000 snd 2010 it’s a 4
2. Lupita is wrong it should be seventy-two thousand five hundred sixty.

The Taylor is right and Lupita is wrong.

It is required to Construct a math argument.

What is a statement?

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

Given:

In 2000 census, the population of a city was 935,426.

In 2010 census, the population of the same city was 934,578.

1. Taylor is correct because in the thousands place there is a a five for 2000 and 2010 it’s a 4.

2. Lupita is wrong it should be seventy-two thousand five hundred sixty.

Therefore, the Taylor is right and Lupita is wrong.

Learn more about statement  here:

brainly.com/question/24412283

#SPJ2

NEED IT ASAP
Tony is shopping for new tires for his 4-wheel-drive truck. In addition to the price of the tires, there is a 10% sales tax plus a state-mandated $45 fee for disposing of his old tires. If Tony has determined that he will spend less than $559.80 total, then what is the price range he can spend on the tire set?

Answers

Sry couldn't find the answer

he could spend anything below 468

Convert .23 Kiloliters to liters
what’s the answer?

Answers

Answer:

230 liters

Step-by-step explanation:

1000 liters is 1 kiloliter

Multiplying by the conversion factor

.23 kiloliters * 1000 liter/ 1 kiloliter= 230 liters

Answer:

= 230litres

Step-by-step explanation:

know that

1000liters makes 1 kilometer

if 1000liters make 1kilometer then we will multiply 0.23 by 1000litres

that is,

0.23 x 1000

= 230litres

Which list shows the order of the numbers from greatest to least? List 1: 2.3, 2.03, 2.5, 0.25 List 2: 0.25, 2.5, 2.03, 2.3 List 3: 2.03, 2.3, 2.5, 0.25 List 4: 2.5, 2.3, 2.03, 0.25

Answers

Answer:

4

Step-by-step explanation:

2.5, 2.3, 2.03, .25

List 4!
2.5,2.3,2.03,0.25

what is the domain of the function shown in the graph below?
Answer type: interval, all real numbers, all values except one, all values except two
interval:

Answers

Answer:

All except one interval [-2,8]

Step-by-step explanation:

Notice that the function, wich an hyperbola, has a vertical asymptote in both -2 and 8 and there is nothing between this two values.

So we will exclude what's between them out of the domain.

If 120 is divided into 3 parts which are proportional to 1, [tex]\frac{1}{2} [/tex], and [tex]\frac{1}{6}[/tex], what is the middle part?

Answers

[tex]k+\frac{k}{2}+\frac{k}{6}=120\\\\6k+3k+k=720\\10k=720\\k=72[/tex]

72,36,12

answer: 36

So if we put 120 Into 3 parts 72,36,12 then the answer would be 36

Witch one do I pick

Answers

Answer:

c

Step-by-step explanation:

I think c is the correct answer

. Emma wanted to make an origami fish for each of her 22 classmates. She takes 30 minutes to make one fish. How long will Emma take to make all the fish? A 320 minutes B 11 hours © 600 minutes D 660 hours​

Answers

Answer:

11 hours

Step-by-step explanation:

50 minutes = 1 hour

30 minutes = 1/2 hour

She takes 1/2 per fish.

1/2 * 22 = 11

Answer: 11 hours

Simply multiply 22 and 30 and your answer will be 660 minutes.

Hope this helps!


Find the sine and cosine of each angle as a fraction and as a decimal. Round to the nearest hundredth.

Answers

Answer:

1st triangle:

sin(C): 0.64, [tex]\frac{16}{25}[/tex]

cos(C): 0.8, [tex]\frac{4}{5}[/tex]

Second triangle:

sin(C): 0.75, [tex]\frac{\sqrt{5} }{3}[/tex]

cos(C): 0.67, [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Using SOH CAH TOA, we know that to find the sin of an angle, it's Opposite/Hypotenuse.

To find the cos of an angle, it's adjacent/hypotenuse.

In the 1st triangle:

The adjacent to C is 16, the hypotenuse is 25.

[tex]\frac{16}{25} = 0.64[/tex] is the sin of C.

The adjacent to C is 20, and the hypotenuse is 25.

[tex]\frac{20}{25} = 0.8[/tex] is the cos of C.

In the second triangle:

The opposite to C is [tex]\sqrt{5}[/tex] and the hypotenuse is 2.

[tex]\frac{\sqrt{5} }{2} \approx0.75[/tex] is the sin of C.

The adjacent to C is 2 and the hypotenuse is 3.

[tex]\frac{2}{3} \approx 0.67[/tex] is the cos of C.

Hope this helped!

0.64 because it makes the most sense to me well because I looked it up too

Perform the following calculation and express the answer in scientific
notation: 1.2 x 10^-2 m x 3.0 x 10^-6 m =

Answers

Answer:

Hey there!

1.2 x 10^-2 times 3.0 x 10^-6 = 3.6 x 10^-8 m^2.

Hope this helps :)

PLEASE HELP!!! ASAP!!!

Answers

Answer:

28 units²

Step-by-step explanation:

→ Work out the size of the triangle if it was a full rectangle

Height = 4 and Base = 2

→ Work out area of triangle

0.5 × Height × Base ⇒ 0.5 × 4 × 2 ⇒ 2 × 2 ⇒ 4

→ Minus the area of the triangle from the "imaginary full' rectangle

Area of rectangle = Length × Width ⇒ 8 × 4 ⇒ 32

32 - 4 = 28

Answer:

[tex]\huge\boxed{28\ units^2}[/tex]

Step-by-step explanation:

The figure consists of a triangle, a square and a rectangle.

Area of Triangle:

[tex]\sf \frac{1}{2} (Base)(Height)\\Where \ Base = 2 , Height = 4 \\=> \frac{1}{2} (2)(4)\\=> 4\ units^2[/tex]

Area of Square:

[tex]\sf (Length)(Length)\\(4)(4)\\=> 16\ units^2[/tex]

Area of rectangle:

[tex]\sf (Length)(Width)\\Where \ Length = 4 , Width = 2\\=> (4)(2)\\=> 8 \ units^2[/tex]

Area of the whole figure:

=> 4 + 16 + 8

=> 28 units²

I will give BRAINIEST to the next person who answers this!!

Answers

Answer:

Challenge #1:

Different examples:

2x+1=3x+2

4x+3=5x+4

3x+2=4x+3

Challenge #2:

Different examples:

2x+0=4x+1

3x+1=2x+5

6x+5=8x+6

Answer:

(-2x + 1 = 1x + 1) or (-4x + 2 = 2x + 2)

Step-by-step explanation:

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