2. The length of a rectangle is 5 feet more than the width. The perimeter of the rectangle is
58 feet.
Find the width of the rectangle.

answer will be -24

A=-24

Answer:

A = 36

Step-by-step explanation:

Using the cofunction identity

tan(90 - x) = cotx

Given

tan2A = cot(A - 18) , then

90 - 2A = A - 18 ( add 2A to both sides )

90 = 3A - 18 ( add 18 to both sides )

108 = 3A ( divide both sides by 3 )

36 = A

Answer:

density = 0.0087 kg/cm³

Step-by-step explanation:

density = mass/volume

= 3.48/400 = 0.0087 kg/cm³

Bob's linear speed is higher than Jack's because the radius of the circle

around which Bob rotates is larger.

Responses:

Given:

The rotational speed of the merry go round = 6 revolution per minute

Jack's distance from the center = 10 feet

Bob's distance from the center = 14 feet

The angular speed, ω, of the merry-go-round is found as follows;

Which gives;

Learn more about angular speed and linear speed here:

https://brainly.com/question/8058144

Answer:

[tex] \frac{1}{w {}^{6} } [/tex]

Step-by-step explanation:

[tex] {w}^{3} \times w {}^{ - 9} [/tex]

equal

[tex]w {}^{ - 6} [/tex]

Using the product of power rule,

[tex] {x}^{a } \times x {}^{e} = x {}^{a + e} [/tex]

Then apply negative power rule

[tex]a {}^{ - x} = \frac{1}{a {}^{x} } [/tex]

So it now becomes

[tex] \frac{1}{w {}^{6} } [/tex]

9514 1404 393

Answer:

  x = 2, y = 10, sides = 15

Step-by-step explanation:

The hash marks tell you all of the sides are the same length. You can use this fact to relate the side length expressions to each other to solve for the variables.

We see that x appears in the left and right expressions only. So we can find x by setting those expressions equal to each other.

  8x -1 = 4x +7

  4x = 8 . . . . . . . . . . . . . add 1-4x to both sides of the equation

  x = 2 . . . . . . . . . . . . . . divide by 4; the value of x

  8x -1 = 8(2) -1 = 15 . . . the length of the sides

Now, we can find y using an expression that involves y. The top expression is the simplest:

  y +5 = 15 . . . . . the length of the side we just found

  y = 10 . . . . . . . subtract 5

The variable values are ...

  x = 2

  y = 10

The side lengths are 15.

9514 1404 393

Answer:

a There are n-3 diagonals from each vertex.

b The diagonals from each vertex divide the polygon into n-2 triangles.

c In a regular polygon with n sides, each angle measures (n-2)180/n degrees.

Step-by-step explanation:

You can check to see which answers are true for a 3-sided or 4-sided regular polygon (a triangle or square).

  triangle: 3 sides, 0 diagonals, 1 triangle 60-degree angles

  square: 4 sides, 1 diagonal, 2 triangles, 90-degree angles

The statements that are true for our test cases are ...

  a There are n-3 diagonals from each vertex.

  b The diagonals from each vertex divide the polygon into n-2 triangles.

  c In a regular polygon with n sides, each angle measures (n-2)180/n degrees.

Answer:

D

Step-by-step explanation:

Answer:

40

the

answer

is

40

Answer:

The 30% of a number can be calculated multiplying that number by 0.3, so, if we call the number we don't know x, we can write this equation:

0.3x = 12

And then solve it for x::

x = 12/0.3 = 40

So now we know that the number is 40.

We can replace the 40 in the equation to get if our answer is correct or not..

30% of 40: 0.3 *  40 = 12

And then, we see it's correct

Answer:

x=18

Step-by-step explanation:

Answer:

It's the one in the bottom

Step-by-step explanation: 8 x + 14 has no solution in their section because 4 -7 is 3 meaning that it's correct yw

Answer:

b and d

Step-by-step explanation:

if you solve them be is 3=2 and d is 1= -8 so they have no solution.

hope this helps

Answer:

[see below]

Step-by-step explanation:

Assuming that we need to see if the point is a solution:

[tex]y=3x+4\\\\2=3(3)+4\\\\2=9+4\\\\2\neq 11[/tex]

The point is not a solution to the equation.

Hope this helps.

Answer:

x = -2

Step-by-step explanation:

2 (x - 1) = 4x + 3

use the distributive property

2x - 2 = 4x + 3

    +2          +2

2x = 4x + 5

-4x  -4x      

-2x = 5

divide by -2

x = - 5/2

Answer:

Step-by-step explanation:

Here you go mate߷

Step 1߷

2(x - 1) = 4x + 3  Question߷

Step 2߷

2(x - 1) = 4x + 3  Simplify߷

Step 3߷

2(x - 1) = 4x + 3  Add 2 to sides߷

2x=4x+5߷

Step 4߷

2x=4x+5  subtract 4x from sides߷

-2x=5߷

Step 5߷

-2x=5  Divide sides by -2߷

answer߷

x=-5/2߷

Hope this helps߷

Answer:

yearly cost for housing expenses = $11,400, average monthly cost for food = $650

yearly clothing cost = $900,

average monthly cost for transportation= $500,

Yearly cost for insurance & medical= $14,400

yearly cost for emergency fund = $600

average monthly college saving = $50

Step-by-step explanation:

Yearly housing = monthly cost * 12 = 950 * 12 = 11400

Food, monthly = 7800 /12 = 650

Clothing, yearly = 75 * 12 = $900

Monthly transport = 6000 / 12 = $500

Insurance and medical = 1200*12 =14400

Emergency fund = $50 * 12 = $600

College saving = $600 / 12 = $50

Answer:

b = -0.79

Step-by-step explanation:

b+ 2.77 over -2 = -1.78

multiply -2 on both sides to get

b + 2.77 = -3.56

subtract 2.77 on both sides to get

b = -0.79

I'm not sure as I didn't work it out too well but I hope you got the idea

Answer:

D. Infinitely many solutions

Step-by-step explanation:

Answer:

Please refer to the attachment

Have a good day Ahead

Answer:

Answer is 28.

Step-by-step explanation:

and thanks for free points.

Answer: 28

Step-by-step explanation:

Answer:

I believe it's B

Step-by-step explanation:

Answer:

15.7 percent of 80 = 12.56

Step-by-step explanation:

Percentage solution with steps:

Step 1: Our output value is 80.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$80=100\%$

Step 4: Similarly, $x=15.7\%$.

Step 5: This results in a pair of simple equations:

$80=100\%(1)$.

$x=15.7\%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{80}{x}=\frac{100\%}{15.7\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{80}=\frac{15.7}{100}$

$\Rightarrow x=12.56$

Therefore, $15.7\%$ of $80$ is $12.56$

Answer:

$3,750.00

Step-by-step explanation:

3,000.00×25%=750.00

3,000.00+750.00=3,750.00

9514 1404 393

Answer:

  8 km

Step-by-step explanation:

The scale means the map distance of 8 cm translates to 800,000 cm in the real world. There are 100 cm in 1 m, and 1000 m in 1 km, so that distance is ...

  800,000 cm = 8,000 m = 8 km

It is 8 km to Jennifer's destination.

Answer:

0.833

Step-by-step explanation:

5/6 = 0.83333333

Only the 8 and 3's are Significant Figures, so the answer is 0.833.

Answer: 40%

Step-by-step explanation:

Answer:40%

Step-by-step explanation:

Answer:

y > 1/3 x - 3

Step-by-step explanation:

First, it would be easiest to find the equation of the line from the two integer points given, which are (0, -3) and (3, -2).

Find the change of y over the change of x to get the slope of the line.

(-2 - (-3))/(3 - 0) = 1/3

Since the line intercepts the y axis at (0, -3), the equation of the line would be

y = 1/3x - 3

We can see that the shaded portion is above the line, (and that the line is dotted) so this graph represents

y > 1/3 x - 3

Answer:

I think the ratio is 3:2 :)

Answer:

1. the force that attracts a body toward the center of the earth, or toward any other physical body having mass.

2. extreme or alarming importance; seriousness.

"crimes of the utmost gravity"

Step-by-step explanation:

Gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.

Answer:Its 1.3

Step-by-step explanation:

I took the test