Which of the following expressions is equivalent to 1/3 ÷ 3/4

notsponge [240]

Answer:

3w² + 10w +8 (C)

Step-by-step explanation:

A rectangle has a length that is 3 times its width, w, in inches. The width is increased by 2 inches, and the length is increased by 4 inches. Which expression represents the area of the larger rectangle?

First, remember that the length of the first rectangle is 3 * w, or 3w.

Now, onto the second rectangle.

The width is increased by 2, so it becomes w + 2

The length is increased by 4, so it becomes 3w +4.

Area is length times width, so the area is

(w + 2)(3w + 4)

Simplify.

3w*w + 4*w + 2*3w + 2*4 =

3w² + 4w + 6w +8

3w² + 10w + 8, or C

8 0

2 years ago

A rectangular yard has a total perimeter of 220 feet. The widths of the yard are each 30 feet shorter than the lengths of the ya

ziro4ka [17]

Answer:

L = 70 W = 40

Step-by-step explanation:

P = 220 ft

W = L - 30

I started guessing numbers for L that would work. When I did this, I made sure that all of the sides added up to 220 ft.

5 0

3 years ago

The ratio of the radii of two spheres is 2:5. The volume of the smaller sphere is 192 in3. What is the volume of the larger sphe

Vanyuwa [196]

R=2/5 . Hence R^3 = 8/125 (Ratio of their volume
(V1)/(V2) = 8/125 if V1=192 then 192/(V2) = 8/125

V2 = (192x125)/8
V2 = 3,000 in^3

8 0

3 years ago

I NEED HELP QUICK!

ivanzaharov [21]

<h2>Answers:</h2>

a. What properties do these shapes have in common?

The square, the rectangle and the rhombus are in the quadrilaterals group (shapes or figures with four sides) and in the parallelogram sub-group (shapes or figures with four sides in which opposite sides are parallel).

In other words,

<h2>what these three shapes have in common is that they are Parallelograms.</h2>

Hence, they have the same properties of a parallelogram, such as:

1. Opposite sides parallel and with the same length

2. Opposite angles are congruent (equal angles, or angles with the same value)

3. Consecutive angles are supplementary (angles that add up to 180°)

Also the general properties of a quadrilateral:

1. It has four sides

2. It is a 2-dimensions shape

3. It is a closed figure

4. It has four corners (called vertices), and four interior angles, as well.

5. The sum of their four interior angles is 360º

b. How are these two shapes different?

In this case we are going to talk about the differences between the Rectangle and the Rhombus, because the square is a special case of both.

Now, the differences between the Rectangle and the Rhombus are:

1. In the Rectangle only the opposite sides are of the same length, while in the rhombus all of its sides are of the same length.

2. If you trace two diagonal lines inside the Rectangle, they will have the same length. But if you trace two diagonal lines inside the Rhombus they will have different lengths.

3. When the two diagonals in the Rectangle are intersected, they are not perpendicular, but in the case of the Rhombus they are perpendicular (both lines form an angle of 90º)

4. All the angles of the rectangle have the same value: 90º. But in the case of the rhombus only the opposite angles have the same value.

c. What conclusion can you make about the square, rhombus and rectangle?

These three shapes belong to the parallelogram group (which is also part of the quadrilaterals group). They have a lot of things in common for being quadrilaterals, with some differences related to their own shape.

The square is a special case of these three figures, is a rhombus (four equal sides) and a rectangle (four equal 90º angles), as well.

5 0

3 years ago

Best answer gets brainliest

EleoNora [17]

Answer:

A. I believe I hope its correct I'm sorry if its wrong:( I tried.

4 0

2 years ago