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dangina [55]
2 years ago
5

Compare the two numbers by choosing <, >or =

Mathematics
1 answer:
vlabodo [156]2 years ago
4 0

 Answer:

In order to compare the fractions we can first obtain the LCM of the denominators of the two fractions and that is to say

= LCM of 5 and 3 which is 15

= \frac{2}{5} * 15

=6

and also:

= \frac{1}{3} * 15

=5

So in conclusion the numbers 6 and 5 will determine the sign to be used and since 6 is for \frac{2}{5} and 5 is for \frac{1}{3} and numerically 6 is greater than 5 therefore:

\frac{2}{5} > \frac{1}{3}

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The area of a rectangle is 46 square inches. If the length is 4 times the width, then find the dimensions of the rectangle. Roun
vampirchik [111]

The dimensions of the rectangles to the nearest hundredth are

  • length = 13.56 inches
  • width = 3.39 inches

<h3>What is a rectangle?</h3>

A rectangle is four sided plane figure which each pair of sides equal and opposite to each other. The sides intersect at an angle of 90 degrees.

<u>Given data</u>

Area of the rectangle = 46 square inches

length L = 4 * width W

area of a rectangle, A

A = L * W

46 = L * W

46 = 4w * w

46 = 4w^2

w^2 = 11.5

w = sqrt ( 11.5 )

w = 3.391 inches

w = 3.39 to the nearest hundredth

since L = 4w

L = 4 * 3.391

L = 13.564

L = 13.56 to the nearest hundredth

Read more on areas of rectangles here: brainly.com/question/2607596

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3 0
1 year ago
Find the area, <br> 8 cm<br> 6 cm<br> 6 cm
vfiekz [6]

Answer:

288

Step-by-step explanation:

I’m not 100% sure yho

6 0
3 years ago
Read 2 more answers
What is the area of the following circle?
valkas [14]

Answer:

Area = 49π

Step-by-step explanation:

circle Area = π x (radius)²

Assuming d = 14 is the diameter (which the problem really should state explicitly, not leave you to assume), then the radius is half of that.

So r = 7, where 'r' is the radius.

Area = π x r² = π(7)² = π(49)

Area = 49π is the exact answer, so it is the one I prefer.

Area = 153.86 is the decimal you get if you multiply 49 x 3.14

Hope this helps.

4 0
3 years ago
Need help asap! Pls
Stels [109]

Answer:

Step-by-step explanation:

The upper right angle is supplement to 130° and a corresponding angle to (3x + 5)

130 + (3x + 5) = 180

3x + 5 = 50

3x = 45

x = 15

8 0
3 years ago
Find the surface area and volume of the composite figure. Use 3.14 for π and round to the nearest tenth if needed.
Vesnalui [34]

Answer:

Step-by-step explanation:

The shape consists of three parts: a half sphere, a round cylinder and a round cone.

The half sphere volume = 1/2 * 4/3 * π * (4)^3

= 32/3 π

The round cyllinder volume = π * (4)^2 * 10

= 160 π

The round cone volume = 1/3 * π * (4)^2 * 3

= 16 π

Adding them together, the volume of shape

= 32/3 π + 160π + 16π

= (32/3 + 160 + 16)*3.14

= 586.13

Similarly the surface area

= (4π4^2)/2 + 2π4*10 + π*4*5

= (32+80+25)*3.14

= 430.18

3 0
3 years ago
Read 2 more answers
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