how to simplify 12
16​

9514 1404 393

Answer:

  205 ft

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is (6w-17) and the area is ...

  A = LW

  7585 = (6w-17)(w)

  6w² -17w -7585 = 0

Perhaps most straightforward is using the quadratic formula to solve this.

For ax² +bx +c = 0, the solution is x = (-b±√(b²-4ac))/(2a). For the above quadratic, the solution is ...

  [tex]x=\dfrac{-(-17)\pm\sqrt{(-17)^2-4\cdot6\cdot(-7585)}}{2\cdot6}=\dfrac{17\pm\sqrt{182329}}{12}\\\\x=\dfrac{17\pm427}{12}=\{-34\frac{1}{6},37\}[/tex]

The width is 37 feet, so the length is ...

  6(37) -17 = 205 . . . feet

The length of the rectangle is 205 feet.

Answer:

step below

Step-by-step explanation:

volume of cylinder = Bh = πr²h = π*7²*15 = 735π

volume of cone =1/3 Bh =1/3 πr²h =1/3 π*7²*15 = 1/3 * 735π

Answer:

the first choice- volume of the cylinder is 735pi

and the 3rd choice the volume of the come is 1/3 pf 735pi  (245 is 1/3 of 735)

Step-by-step explanation:

Volume of the cylinder

[tex]V=\pi r^{2} h\\V=\pi 7^{2} 15\\V=49(15)\pi \\V=735\pi[/tex]

Volume of the cone

[tex]V=\pi r^{2} (\frac{h}{3} )\\V=\pi 7^{2} (\frac{15}{3})\\V=49 (5)\pi \\V=245\pi[/tex]

Answer:

-21 yd

Step-by-step explanation:

[tex]-31-2+12=-21[/tex]

Answer:

a)  8 hours

Step-by-step explanation:

h = # hours worked

240 = .05(3200) + 10h

240 = 160 + 10h

80 = 10h

8 = h

Answer:

356

Step-by-step explanation:

Answer:

18 in.

Step-by-step explanation:

I just took the quiz

Answer:

The dimenssion of BC is - 18in.

Step-by-step explanation:

Definition of circle:

The set of all points in the plane that are a fixed distance (the radius) from a fixed point is called a circle . A radius is the distance between any two points on a circle and the center. Any two radii have the same length according to the definition of a circle.

Step 1:

in Δ[tex]ZFC[/tex] and Δ[tex]ZFD[/tex]

[tex]ZD = ZC[/tex] ( Radius of the circle will be same )

[tex]ZF= ZF[/tex] (Common side in both triangle)

[tex]$\angle Z F C=L I P D=90^{\circ}[\because F Z \perp D C][/tex]

So from Side Angle Side theorem,

[tex]$\triangle Z F C \cong \triangle Z f D$[/tex]

So, [tex]$F C=F D=18 in.[/tex]

Step 2:

[tex]$\triangle B C Z$[/tex] and [tex]$\triangle F C Z$[/tex]

[tex]$B Z=F Z \quad$[/tex] (Given)

[tex]CZ = CZ[/tex] (Common side in both the triangle)

[tex]$\angle Z B C=\angle Z F C=90^{\circ} \quad[\because \overline{B Z} 1 \overrightarrow{C A}$[/tex] and [tex]$$\overline{F 2} \perp \overline{D C}]$$[/tex]

So from sides side angle theorem,

Δ[tex]BCZ[/tex]≅ Δ[tex]FCZ[/tex]

So, [tex]BC = FC[/tex]

Hence [tex]BC = 18in.[/tex]

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Answer:

door Sai so Lally shall icb kiddo do you have any questions

Step-by-step explanation:

ok CV bjf

Answer:

Step-by-step explanation:

There are 4 colors, probability of red or yellow:

And a cube faces 1 to 3:

Probability of the two events above:

Answer:

B

Step-by-step explanation:

Answer:

D.

Step-by-step explanation: First multiply 2x^2 to x - 2 to get 2x^3 - 4x^2

and then multiply 6 to x - 2 to get 6x - 12. Then put the equation together:

2x^3 - 4x^2 + x - 2

Answer:30 centimeters

Step-by-step explanation:

The bigger square with an area of 144 cm squared has a perimeter of 100 with each side equal to 25. You find this by seeing that 25 times 25 equals the area of the square. Same thing with the smaller square 5 times 5 equals 25. Now that we have the perimeter for the sides that are connected to the square (25) and (5), multiply those together just as you would with finding the area of a square. (25)(5)=60. Since this is a triangle you divide your answer in half which is 30.

Answer:

9)

1 2/3 ÷ 2 1/4 = 5/3 x 4/9 = 20/27

10)

3 3/5 ÷ 1 3/4 = 18/5 x 4/7 = 72/35

Answer:

348m^2

Step-by-step explanation:

I'm so confused what do you need help with?

Answer:

Step-by-step explanation:

If you add up all the male and female categories, the total is 400

the number of females between 22 and 39 is 51

P(22 - 39)  = 51 / 400

P(22 - 39) = 0.1275

I think the answer you want is 51/400

Answer:

rectangular pyramid

Step-by-step explanation:

just took the test

The figure can be made using the net shown is a rectangular pyramid.

A three-dimensional shape is a pyramid. A pyramid's flat triangular faces unite at a common point known as the apex and have a polygonal base.

A prism is a polyhedron in geometry made up of an n-sided polygon basis, a second base that is a rigidly translated copy of the first base, and n additional faces that must all be parallelograms and connect the corresponding sides of the two bases.

Pyramids and prisms are both three-dimensional solids with flat faces and bases.

Yet, a pyramid only has one base, whereas a prism has two bases that are identical.

Here, the base is rectangular then the figure shows A rectangular pyramid.

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The answer is 6,580,000.

I hope this helped! :)

Answer:

5 + g

Step-by-step explanation:

The sum of 5 and g,

5 + g

Answer:

9 cm

Step-by-step explanation:

Answer:

9cm

Step-by-step explanation:

Answer:

99 and 51

Step-by-step explanation:

Answer:

5.66

Step-by-step explanation:

This is a 45 – 45 – 90 triangle. What this means is that the two legs are both congruent and the hypotenuse is the length of the legs times [tex]\sqrt{2}[/tex].

So in order to find this, we have to divide 8 by the square root of 2.

Putting this in to a calculator, we get 5.6568542. When rounded to the nearest hundredth, it is 5.66, which is the first answer.

Answer:

[tex]P(x \le -3) =0.30[/tex]

Step-by-step explanation:

Given

The attached probability distribution of x

Required

Find [tex]P(x \le -3)[/tex]

To do this, we consider all values of x less than or equal to-3.

So, we have:

[tex]P(x \le -3) =P(x=-5) + P(x = -3)[/tex]

From the table:

[tex]P(x=-5) = 0.17[/tex]

[tex]P(x = -3) = 0.13[/tex]

So, the equation becomes

[tex]P(x \le -3) =P(x=-5) + P(x = -3)[/tex]

[tex]P(x \le -3) =0.17 + 0.13[/tex]

[tex]P(x \le -3) =0.30[/tex]

Answer:

10045 rounded to nearest tens is10050

Answer:

y = 8.66

Step-by-step explanation:

tan 60° = y/5

1.7321= y/5

y = 8.66

Answer:

D

Step-by-step explanation:

EDG 2021

Answer:

D is the answer

Step-by-step explanation:

Answer:45

Step-by-step explanation:

V=a2h

3=62·3.75

3=45

Answer:

x = 13 cm

Step-by-step explanation:

The figure given is a square.

Area of the given square (A) = 169 cm²

Formula for area of a square is:

A = s²

Where,

s = x

Thus:

169 = x²

Take the square root of both sides

√169 = √x²

13 = x

x = 13 cm

Answer:

66

Step-by-step explanation:

The area of a rectangle can be found with the formula 'length time width' (lw). The length is 22, and the width is 3. Multiply 3 and 22 and you get 66 as your area.

66 square units is the area of the given rectangle.

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

To find the area of a rectangle, we multiply its length by its width.

In this case, the length is 22 and the width is 3.

Therefore, the area of the rectangle is:

Area = length × width = 22 × 3 = 66 square units.

So, the area of the rectangle is 66 square units.

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