60 ft
60 ft
30t)
60 ft
60ft
30 ft.

Answer:

Math-Graphing Inequalities on a Number Line (the basics)

Step-by-step explanation:

Answer:

You can draw a trapezoid

i hope this helps if you know how to draw the trapezoid you can search on website

Considering the area of the rectangle, it is found that it's width of the rectangle is of 3 inches.

The area of a rectangle of length l and width w is given by:

A = lw.

In this problem, we have that:

A = 108, l = 6 + 4w.

Hence, using the equation for the area:

lw = 108

(6 + 4w)w = 108

4w² + 6w - 108 = 0

2w² + 3w - 54 = 0

Which is a quadratic equation with coefficients a = 2, b = 3 and c = -54, hence:

[tex]\Delta = b^2 - 4ac = (3)^2 - 4(2)(-54) = 441[/tex]

[tex]x_1 = \frac{-3 + \sqrt{441}}{6} = 3[/tex]

[tex]x_2 = \frac{-3 - \sqrt{441}}{6} = -4[/tex]

Width is a positive measure, hence it is of 3 inches.

More can be learned about the area of a rectangle at https://brainly.com/question/10489198

Answer:

76

Step-by-step explanation:

to find the area of a square do base x height

7 x 8 = 56

to find the area of a triangle do base x height ÷ 2

3 x 8 = 24

24 ÷ 2 = 12

2 x 8 = 16

16 ÷ 2 = 8

8 + 12 + 56

= 76

The measure of the radius, c, rounded to the nearest hundredthis 12.36cm

The given figure is a pentagon. The measure of one of the interior angle is 108 degrees.

The triangle in the pentagon is right angle.

Measured acute ange = 108/2 = 54 degrees

Using the trig identity

sin 54 = 10/c

c =10/sin54

c = 10/0.8090
c = 12.36 cm

Hence the  measure of the radius, c, rounded to the nearest hundredthis 12.36cm

Learn more on trigonometry identity here; https://brainly.com/question/7331447

Answer:

12.36

Step-by-step explanation:

Answer:

11x + 10y - 2w

Step-by-step explanation:

Hello!

To solve for the perimeter, we add up the like terms.

What are like terms?

Like terms are terms with the same variable and degree. 4x and 5y are NOT like terms because the variable is not the same. However, 4x and 3x are like terms, as adding them gives us 7x.

4x and 4x² are not like terms, because the degree of 4x is 1 (degree means the largest exponent), but the degree of 4x² is 2.

Solve for Perimeter:

Combine the like terms by adding them up.

The perimeter is 11x + 10y - 2w

Answer:

For problem 1...                                                    For problem 2...

Here are the solutions for a.                               Here are the solutions for b.

[tex]\left[\begin{array}{ccc}5&6\\7&8&9\end{array}\right][/tex]                                                            [tex]\left[\begin{array}{ccc}3\\4&5&6\\7&8&9\end{array}\right][/tex]

There are only 5 to infinity solutions.                Here, there are 7 to infinity.

                            What can we base off of these data sets?

   We can create many more numerical comparisons, as well as ineqaulities.

Examples of those ineqaulities include...

What have we learned?

Answer:

a is 4.5, and b is 3.

Step-by-step explanation:

These numbers are the averages for the numbers shown.

4+5 = 9

9/2 = 4.5

2+4 = 6

6/2 = 3

That is how you can find the average of two numbers.

The name of the shape depicted in the graph below is rose, so the answer is A.

A rose is a flat curve resembling a symbolic image of a flower. Geometrically, it is the algebraic or transcendent curve whose graph is characterized by a series of windings around a central point.

In the best known cases, these windings produce figures in the shape of a rose window, from which its name derives from.

Learn more about graphs in https://brainly.com/question/14375099

Answer:

Step-by-step explanation:

Surface area of rectangular prism:

length = l = 20 in

width = w = 12 in

height = h = 5 in

[tex]\boxed{\text{surface area of rectangular prism = 2*[lw + wh + hl]}}[/tex]

                                              = 2* [ 20*12 + 12*5 + 5*20]

                                              = 2* [240 + 60 + 100]

                                               = 2 * 400

                                               = 800 in²

The surface area of the shape is 400 square yards

The formula for calculating the surface area of the shape is given as:

Surface area = Area of square + area of triangle

Surface area = (15 * 20) + (0.5 * 10 * 20)
Surface area = 300 + 100
Surface area = 400 square yards

Hence the surface area of the shape is 400 square yards

Learn more on surface area of figure here:

https://brainly.com/question/16302190

Answer:

83.75 yards

Step-by-step explanation:

3.75 x 67 = 251.25ft

251.25 / 3 = 83.75yards

Answer:

520/9 = 57.77....8

Step-by-step explanation:

4x 10/3 x 13/3= 130/9 x4=520/9

Answer:

57 7/9

Step-by-step explanation:

4*4 1/3*4 1/3 = 57 7/9

Answer:

I agree with D

Step-by-step explanation:

just because

Answer:

Step-by-step explanation:

The total of their account balances is equal to the total spent plus the remaining amount. The given relations tell us ...

__

Solving this equation, we can find Mark's withdrawal and his initial deposit.

  145 +1.6d = 265

  1.6d = 120 . . . . . . . the amount Mark withdrew

  d = 120/1.6 = 75 . . . . the amount Mark deposited

Mark put $75 into his savings account.

__

Had Mark put $100 into his savings account, the total of withdrawals would have been ...

  Trisha + Mark = $100 × 145% +$100 ×160% = $145 +160 = $305

After spending $225 of this amount, they would have had a leftover amount of ...

  $305 -225 = $80

Trisha is not correct in her thinking that there would be more than $100 left over.

Answer:

C

Step-by-step explanation:

Tangent of an angle is the opposite side over the adjacent side.

Tangent of angle beta is 8/15

Answer:

irrational

Step-by-step explanation:

Use the Pythagorean theorem.

5² + 6² = c²

25 + 36 = c²

c² = 61

7² = 49

6² = 64

61 is between 7² and 8², so it is not rational.

Answer:

see explanation

Step-by-step explanation:

the angles in a square are right .

the diagonals bisect the angles , then

∠ OKL = 45°

The diagonals are perpendicular to each other , then

∠ MOL = 90°

All sides are congruent , so

perimeter = 4 × NM = 4 × 8 = 32

Answer:

Perimeter: 32

measure of angle OKL: 45

measure of angle MOL: 90

Step-by-step explanation:

Things to remember:

- the side of the square are all equal

- vertical angles are congruent

 + ex. MON and KOL; MOL and NOK

- the entirety of the four angles in the center of the square equal 360 degrees

 + ex. MON + MOL + LOK + KON = 360 degrees

- corners of a square equal 90 degrees and since lines MK and LN cut the square in half we can assume that angles like OKL are also cut in half, making them 45 degrees

+ ex. angle NKL (90) = OKL (45) + OKN (45)

- The four triangles in the square are isosceles

If we have the angles of OML and MLO we can find MOL since the angles of a triangle equal 180

OML (45) + MLO (45) + MOL (x) = 180

90 + x = 180

x = 90

Answer:

b. [tex]6\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\frac{6}{x} =\frac{x}{18}[/tex]

[tex]x^{2} =[/tex][tex](6)(18)=108[/tex]

[tex]x=\sqrt{108} =\sqrt{(36)(3)} =6\sqrt{3}[/tex]

Hope this helps

The length of x, the altitude of triangle ABC  is [tex]6\sqrt3[/tex]

From the given figure, we have the following equivalent ratio:

6 : x =x: 18

Express as fraction

6/x = x/18

Cross multiply

[tex]x^2 = 6 * 18[/tex]

Evaluate the product

[tex]x^2 = 108[/tex]

Take the square root of both sides

[tex]x = 6\sqrt3[/tex]

Hence, the length of x, the altitude of ABC  is [tex]6\sqrt3[/tex]

Read more about right triangles at:

https://brainly.com/question/2437195

#SPJ2

Answer:

At the bottom!

Step-by-step explanation:

I took the quiz! :)

Answer:

318

Step-by-step explanation:

Arithmetic sequence:

a = 28 ; d = 10 & n = 30

[tex]\boxed{a_{n}=a +(n-1)d}[/tex]

a₃₀ = 28 + (30 - 1)*10

      = 28 + 29 *10

     = 28 + 290

     = 318

Answer:

its c

Step-by-step explanation:

think about it for a second

Answer:

30[tex]\sqrt{2}[/tex]

Step-by-step explanation:

The triangle given is a special right triangle with angle measures as follows:

45-45-90

The side lengths for this special triangle is represented with a-a[tex]\sqrt{2}[/tex]-a[tex]\sqrt{2}[/tex]

a represents the side length that sees hypotenuse and it is 30 so x and y

30[tex]\sqrt{2}[/tex]

Answer:

No

Step-by-step explanation:

They can't be in a straight line because 6+10 (the distance between plants 1 and 2 and plants 2 and 3) is more than 13 which is the distance from plant 1 to plant 3.  This means plant 3 can't be in line with 1 and 2 which will give a triangular shape.  If we check Pythagorean theorem we get 6^2 + 10^2 = 13^2 ( the longest side has to be the hypotenuse) .  Since this isn't a true statement it can't be a right triangle.  

Answer:

2

Step-by-step explanation:

2⁹ ÷ (4^x) = 32^x × 32^(-1)

2⁹ ÷ 32^(-1) = 32^x × 4^x

16384 = 128^x

Kalau kamu dah belajar logaritma,

[tex]x = log_{128}(16384) \\ x = 2[/tex]

Jika belum,

2¹⁴ = 2^(7x)

Bandingkan kuasa persamaan tersebut,

7x = 14

x = 2

Answer:

2/7

Step-by-step explanation:

Total no. of chocolates in the box =14

No. of dark Chocolates=4

No. of white chocolates=5

No. of milk chocolates=5

Probability of getting a white chocolate

= No. of possible outcomes /Total No. of outcomes

=5/14

Probability of getting a dark chocolate =4/14=2/7

Answer:

19.2 or 19.20

Step-by-step explanation:

Answer:

because of some theorm or postulate i forget the name of, angles on opposite sides are equal
110 = 4t + 90
20 = 4t
5 = t
t is equal to 5 degrees