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3 years ago

Just need to know the fraction

Mathematics

2 answers:

Reptile [31]3 years ago

7 0

<h3>Answer: 1/2</h3>

The midsegment is always exactly half as long compared to the side it's parallel to.

Put another way, the longer side (4x+20) is twice long as the midsegment (3x).

LiRa [457]3 years ago

3 0

Answer:

The answer your looking for is 1/2

Step-by-step explanation:

You might be interested in

A rectangular pool has a sidewalk around it. The pool measures 6 feet by 10 feet and the total area of the pool and sidewalk is

Otrada [13]

Answer:

width of the sidewalk = 1 feet

Step-by-step explanation:

Area of the pool = length × width

Length = 10 feet

Width = 6 feet

Area of the pool = length × width

= 10 feet × 6 feet

= 60 feet²

Area of the pool = 60 feet²

Total area = Area of the pool + Area of sidewalk

96 feet² = 60 feet ² + Area of sidewalk

Area of sidewalk = 96 feet² - 60 feet ²

Area of sidewalk = 36 feet²

Length of pool + sidewalk = 10 + 2x

width of pool + sidewalk = 6 + 2x

( 10 + 2 x ) ( 6 + 2 x ) -60 = 36

60 + 20x + 12x + 4x² - 60 = 36

4x² + 32x - 36 = 0

4x² + 36x - 4x - 36 = 0

4x (x + 9) -4(x + 9) = 0

(4x - 4) (x + 9) = 0

4(x - 1) (x + 9) = 0

(x - 1) = 0 (x + 9) = 0

x = 1 or x = -9

The width of the side walk can't be a negative value

Therefore, width of the sidewalk = 1 feet

7 0

3 years ago

How far does the tip of the minute hand of a clock move in 1 hour and 27 minutes if the hand is 2 inches long?

Nesterboy [21]

So, a full circle has 360°, thus when the minute hand does one hour, it does a full circle, therefore 360°.

now, how many degrees are there in 1 minute? well, there are 60 minutes in 360°, therefore there are 360/60 degrees in 1 minute, or 6°.

now, we know in 1 hour there are 360°, how many in 27 minutes? well, 27 * 6, or 162°. So after 1hr and 27min, the minute hand has done 360+162 or 522°.

we also know the minute hand is 2 inches long, thus

$\bf \textit{arc's length}\\\\
s=\cfrac{\pi \theta r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=2\\
\theta =522
\end{cases}\implies s=\cfrac{\pi \cdot 522\cdot 2}{180}$

which is roughly 18 inches rounded up.

5 0

3 years ago

8 cubed in standard form and exponential form

masya89 [10]

Answer:

so 8 cubed (8 × 8 × 8) in standard form is: 512

so 8 cubed (8 × 8 × 8) in exponential form is: 8³

Step-by-step explanation:

As we know that

The cube of any given number is that number times itself.

For example, 8 cubed, denoted by 8³ is equal to 8 × 8 × 8.

An exponent basically indicates the number of times we must multiply the base number. For example, to compute 8³, we multiply 3 three times (8×8×8).

so 8 cubed (8 × 8 × 8) in standard form is: 512

so 8 cubed (8 × 8 × 8) in exponential form is: 8³

8 0

3 years ago

Find the midpoint of the segment with the following endpoints. (10,6) and (6,10)

svlad2 [7]

Answer:

(8,8)

Step-by-step explanation:

4 0

3 years ago

The radius of a cylindrical vessel is 7 cm and height is 1400 m . Find the cost of painting its inner curved surface area at the

Olegator [25]

Answer:

Cost = 616000 DHS per square centimetre.

Step-by-step explanation:

curved surface of a cylinder = 2 $\pi$ rh

r = 7 cm

h = 1400 m = 140000 cm

The outer curved surface area of the cylinder = inner curved surface area of the cylinder

The inner curved surface of the cylinder = 2 $\pi$ rh

= 2 x $\frac{22}{7}$ x 7 x 140000

= 2 x 22 x 1 x 140000

= 6160000

The inner curved surface of the cylinder is 6160000 square centimetre.

But, the cost of painting is at the rate of 10 DHS per square centimetre.

The inner curved surface of the cylinder = 6.16 x $10^{6}$ square centimetre.

cost of painting the inner curved surface area = $\frac{6.16*10^{6} }{10}$

= 616000 DHS per square centimetre

The cost of painting the inner surface is 616000 DHS per square centimetre.

6 0

3 years ago