All categories

3 years ago

Find the minimum and maximum possible areas of a rectangle measuring 2 km by 5 km.

Mathematics

1 answer:

bonufazy [111]3 years ago

5 0

Answer:

<h3>Minimum area: 6.75 km2, maximum area: 10 km2.</h3>

Step-by-step explanation:

We are given that a rectangle has length = 2km and width = 5km.

Formula for area is :

Area = Length × Width

Plugging values in above formula for area, we get

Area = 2km × 5km

On multiplying 2 and 5, we get 10.

Therefore,

$Area = 10\ km^2$

So, the maximum area possible area is $10\ km^2$ .

Therefore, you can choose correct option as:

<h3>Minimum area: 6.75 km2, maximum area: 10 km2.</h3>

You might be interested in

Find the measure of all the angle b’s pls. pretty pretty please. if you do all four ily. #desperate.

Nesterboy [21]

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I'll be helping you today :D. I hope you are having a nice day.

Theorums

To solve the problem, since it is in the field of Geometry, there is bound to be theorums and basic knowledge that we need to know, upon seeing this problem what we need to know are:

Supplementary Angles: When two angles add up to 180 degrees.

Complementary Angles: When two angles add up to 90 degrees.

Interior/Exterior Angles Theorum.

Right Angles.

Solving

So to solve this, I'll first start with number 11. In this, we need to solve for B and we are given the first angle and b as the second angle.

What we can do is first we know that it is a Complementary angle as we know 65 degrees + b has to equal to 90 degrees.

Upon solving that, we know that B for the first one is

$90=b+65\\b= 25$

We know that b is 25 degrees for the first one.

For the second one, we know that due to the interior/exterior angles theorem that 80 + b has to equal to 180 degrees due to the int/ext angles theorem and supplementary angles.

$180=80+b\\b=100$

We know that b is 100 degrees.

For the third one, we know the entire thing is 360 degrees. Since we know that, we can solve for b as we have all the angles needed.

$244+23+b=360\\b=93$

Upon solving, we know that b is 93 degrees.

For the final one, due to vertical angles, b is equal to 48 degrees!

Feel free to ask any questions you have in the comments!

Cheers!

3 0

3 years ago

Read 2 more answers

When 100 mL of an aqueous solution containing 1.0 g of caffeine is extracted with 10 mL of chloroform at room temperature, 0.5 g

expeople1 [14]

<span>The distri</span>bution coefficient is simply the ratio of the concentrations of the solute in the two solvents.

In this case there is 0.5g of caffeine in 10 ml of chloroform and 0.5 g of caffeine in 100ml of water.

The ratio is 0.5/10 : 0.5/100 = 0.05 : 0.005 = 10 : 1

5 0

4 years ago

Tara and friends order a pizza. Tara eats 3 of the 10 slices and pays $4.20 for her share. Assuming that Tara has paid at least

lana [24]

Answer:The inequality is

x greater than or equal to(>/=) 14

Step-by-step explanation:

Let x represent the possible cost of the full pizza. Tara eats 3 of the 10 slices and pays $4.20 for her share. This means that the amount of pizza that Tara ate is 3/10×x = 3x/10

Assuming that Tara has paid at least her fair share, therefore

3x/10 = 4.20

3x = 4.20 ×10 = 42

x = 42/3 = 14

This means that the total cost of the pizza is at least $14. The inequality

how much the pizza could have cost becomes

x greater than or equal to(>/=) 14

5 0

4 years ago

Determine the slope of the line that contains the points E(6,3) & F(-6,3).

vitfil [10]

Count the spaces between the points rise over run

6 0

3 years ago

Point G is rotated 90°. The coordinate of the pre-image point G was (7.5), and its image Gʻis at the coordinate (5, 7).

matrenka [14]

<h3>Answer:</h3><h3>The Direction of the rotation is counterclockwise around the origin.</h3>

Step-by-step explanation:

What was Given was that Point G is rotated 90°. The coordinate of the pre-image point G was (7, –5), and its image G’ is at the coordinate (5, 7).

What you need to find was : What is the direction of the rotation.

So coming to conclusions is we have given that Point G is rotated 90°.

The Pre-image of G = ( 7, -5).

Translated image G' = ( 5 ,7).

By the Rotation rule of 90° is : (-y, x) 90 degree rotation counterclockwise around the origin.

(y, -x) 90 degree rotation clockwise about the origin.

We can from G (7,-5) and G'( 5 ,7) it is rotation counterclockwise around the origin.

Therefore, Direction of rotation is counterclockwise around the origin.

6 0

3 years ago