The fence around Stan's rectangular backyard is 48 feet. His yard is 3 feet longer than twice its width. What is the length of Stan's yard?

Answer:

Step-by-step explanation:

t = [tex]cos^{-1} (\frac{3}{5})[/tex]

t ≈ 53°

cos t = cos (- t) = [tex]\frac{3}{5}[/tex]  

sec ( [tex]\pi[/tex] + t ) = -  [tex]\frac{5}{3}[/tex]

Answer:

64000

Step-by-step explanation:

The absolute value is the non-negative number

|64000| = 64000

Answer:

5600 ml

Step-by-step explanation:

1 L = 1000 ml

5.6 L = 5.6 × 1000 = 5600 ml

Answer:

A

Step-by-step explanation:

The lateral surface area is given by pi*r*l, we can use trigonometry to find l. 8*sqrt(3)/l=sin(60), l=16 and r is given by tan(60)=8*sqrt(3)/r, r=8. The lateral surface area is 16*8*pi=128*pi

Answer:

2.5 meter

Step-by-step explanation:

in a right triangle, tan of an angle  = opposite side /adjacent side

tan 70° = x/ 0.9 , multiply both sides by 0.9

0.9 * tan 70° = x, solve on a calculator

x ≈ 2.5 m

Answer:

16

Step-by-step explanation:

Students                      8       x

Time taken (hours)     18     18 - 12 = 6

If number of students increases, the work will completed in less hours.

So inverse proportion

[tex]x =\frac{18*8}{6}=3*8 = 24[/tex]

Additional students required = 24 - 8 = 16

Answer:

5x+8

Step-by-step explanation:

First find the product of 5 and a number

5x

Then sum it with 8

5x+8

Answer:

Is -15

Step-by-step explanation:

Answer:

B). 2^7

Step-by-step explanation:

[tex] = { \sf{2 \times {2}^{3} \times 8 }} \\ = { \sf{2 \times {2}^{3} \times {2}^{3} }} \\ = { \sf{ {2}^{(1 + 3 + 3)} }} \\ = { \sf{ {2}^{7} }}[/tex]

Answer:

The answer is B. 2^7

Step-by-step explanation:

I did the work out lol

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

x=45

Step-by-step explanation:

straight line=180°

2x+x=3x

180-45=135

135/3=45

x=45

Answer:

12-4y=4-12y

8y=-8

y=-1

Answer:

y= 0.8

Step-by-step explanation

4(3−y) = 6−2(1−3y)

12−4y = 6−2(1−3y)

12−4y = 6−2+6y

12−4y = 4+6y

  12   =  4+10y

     8 = 10y

  0.8 = y

This is correct i just took the test. I hope this helps :)

Answer:

17.3

Step-by-step explanation:

√(-9-8)² + (-6-(-3))²

√17² + 3²

√289 + 9

√298 = 17.3

Answer:

hope it helps u

Step-by-step explanation:

and pls mark as branlist ans

Answer:

The polygons are NOT similar. The ratio of 12 to 18 equals 2 to 3, and the ratio of 26 to 32 equals 13 to 16. They're not the same, thus not similar.

Answer:

They are not similar, and the instructions says to put "None" otherwise, so...

Step-by-step explanation:

You can find this by dividing 32 by 16 to get something like 1.7777....

and dividing 26 by 12 should give the same ratio if they are similar, but it gives something like 2.1666...

Therefore they are not similar.

Congruent means two or more shapes are the same size and are similar, but for some things to be similar means that they have the same ratio, but not necessarily the same dimensions.

Answer:

A-B

Step-by-step explanation:

It doesn't say A=B... But just that A is a subset of B.

Anyways, why not try an example to help reveal the answer.

Let the universe set, U, be U={1,2,3,4,5,6}.

Let B={1,2,3,4} and A={1,3,5}

First choice would become A'={2,4,6}

Second choice would become B'={5,6}

Third choice would become A-B={5}

Fourth choice is just { }

B'-A'={5}

The only choice matching is A-B

*Just so you know X-Y is the set of elements contained in X only if they are not also in Y.

Answer:

2

Step-by-step explanation:

w

Answer:

The answer is 7.5

Step-by-step explanation:

B ) |-12| < |-48|

because the signs are not taken on to consideration if we write in |

so hence B is right option

MARK AS BRAINLIST IF IT IS USEFUL

Answer: 25%

Step-by-step explanation:

Answer:

84 women

Step-by-step explanation:

Using Algebra, we can apply the ratio of men and women, 4 and 3, in a format that can be used in an equation.

4x = men and the unknown variable that will solve the amount of men

3x = women and the unknown variable that will solve the amount of women

Now, we will use the other provided piece which is the total amount of employees, and we will put together an equation!

4x + 3x = 196

We will use this equation to solve for X by the process of addition and division.

4x + 3x = 196

7x = 196

196 ÷ 7 = 28

x = 28

Now we will use this variable and apply it for x to find the number of women.

3 x 28 = 84 women!

Checking the answer:

4 x 28 = 112 men

84 + 112 = 196

Therefore, this answer checks out.

Answer:

(a) 1:12

(b) 12:1

(c) 1:100

(d) 100:1

[tex]\\ \sf\longmapsto 3^6\times 3[/tex]

[tex]\boxed{\sf a^m\times a^n=a^{m+n}}[/tex]

[tex]\\ \sf\longmapsto 3^6\times 3^1[/tex]

[tex]\\ \sf\longmapsto 3^{6+1}[/tex]

[tex]\\ \sf\longmapsto 3^7[/tex]

Step-by-step explanation:

6x-4=26

6x=26+4

x=30/6

x=5

Answer:

x=5

Step-by-step explanation:

26÷2=13

13+2=15

15÷3=5

first 15- 4= 11

in question they gave 4-15 so

-11

Answer:

can you snap it again it's not clear

Answer:

x = -124

Step-by-step explanation:

89-x=213

Subtract 89 from each side

89-x -89=213-89

-x = 124

Multiply each side by -1

x = -124

Step-by-step explanation:

89-x=213

89-213=x

x= -124

hope this helps

Answer:4:1 just taking to test as soon as you

Step-by-step explanation:

The ratio of fiction books to nonfiction books on the shelf is,  4

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

Ellie has 20 books on her shelf

Four of these books are nonfiction

The rest are fiction

The ratio of fiction books to nonfiction books on the shelf = ?

The number of fiction books = ?

The number of fiction books = 20 - 4

                                                 = 16

Ratio =    fiction/nonfiction

         =      16/4

          =    4

Hence, the ratio is 4

To know more about Ratio check:

https://brainly.in/question/7996583

#SPJ2

We can simplify the wheel, thinking of it as a simple circle, then using general knowledge about circles, we can solve this.

1) Remember that one rotation of the wheel will be equal to the perimeter of the wheel, and for a circle of radius R, the perimeter is:

[tex]P = 2*3.14*R[/tex]

We know that our wheel has a radius of 5cm, then R = 5cm, we will get:

[tex]P = 2*3.14*5cm =31.4 cm[/tex]

Then one full rotation of the wheel is equal to

2) Not that we know the distance that the wheel does in one single rotation, the total number of rotations needed to do a distance of 50km is equal to the quotient between 50km and the distance that the wheel moves in one rotation.

But first we need to have both values in the same unit system.

Knowin that:

1km = 1000m

1km = 100*1000cm = 100,000 cm

Then 50km = 50*(100,000 cm) = 5,000,000 cm

Now we can solve the quotient:

[tex]\frac{5,000,000cm}{31.4cm} = 159,235.7[/tex]

This means that the wheel needs to do 159,235.7 rotations to move a distance of 50km.

If you want to learn more, you can read:

https://brainly.com/question/11137975

Answer:

Hello,

Step-by-step explanation:

[tex]1.272727....=1.\overline{27}\\\\=1+\dfrac{27}{99} \\\\=1+\dfrac{3}{11} \\\\=\dfrac{11+3}{11} \\\\=\dfrac{14}{11} \\[/tex]

One other way:

Let say x=1.272727...

100x=127.272727...

x=1.272727...

99x=126

x=126/99

x=14/11