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bonufazy [111]
3 years ago
11

What is the area of this figure?

Mathematics
1 answer:
KatRina [158]3 years ago
3 0
Hi!

I have attached 2 images that should help you understand :)

First, look at the edits I made to the image you posted. I separated the shape into smaller shapes so that we can find the area of each individual one. 

Let's start with the rectangle.

To find the area of a rectangle, multiply the width times the height. 
10 · 4 = 40

Rectangle = 40cm

Next up, the red triangles.

I have included another image showing the triangles combined into rectangles. So we can find the area of the triangles just like we would rectangles!

(let me know if you don't understand how I found the width + height of the triangles)

5 · 10 = 50

Red triangles = 50cm

And finally, the green triangles.

8 · 7 = 56

Green triangles = 56cm

Add it all together and you get...

40 + 50 + 56 = 146

The answer to the question is 146cm.

Next time you are having trouble with something like this, picture the triangles as rectangles! :)

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5x+6.5=8x-2.5 what does this mean and i would like to know how to solve this equation
Bingel [31]

The answer is x = 3

I hope this helped

6 0
3 years ago
9. If each of the following pairs represents a pair of equivalent rational
Oksi-84 [34.3K]

Answer:

-35/6

Step-by-step explanation:

We need to find the value of x , And the given pair of Rational numbers are equal.

<u>Question</u><u> </u><u>(</u><u>I)</u><u> </u><u>:</u><u>-</u><u> </u>

→ 3/4 = 7/x

→ 7/x = 3/4

→ 1/x = 3/4 × 1/7

→ 1/x = 3/28

→ x = 28/3

<u>Question</u><u> (</u><u>ii)</u><u> </u><u>:</u><u>-</u><u> </u>

→ x/7 = -5/6

→ x = -5/6 × 7

→ x = -35/6

<h3>• Hence the value of x is -35/6 .</h3>
7 0
2 years ago
What is 2.1 as a fraction?
german
2 1/10 because the 1 in 2.1 is in the tenth place
7 0
3 years ago
if we increased one side of a square by 5 units and decreased the other by 3 units the area of the resulting rectangle would be
zvonat [6]

Answer:

18 units

Step-by-step explanation:

So let's list out the sides.

for the first square let's just call them x

for the second square then they would be x+5 and x-3

So let's write out their areas we will cal the area of the first one z

x*x = z

(x+5)*(x-3) = z+21

since z = x^2 we can set up the second equation as a quadratic.

(x+5)*(x-3) = x^2 + 21

x^2 - 3x + 5x - 15 = x^2 + 21

But look, the x^2s cancel out

2x - 15 = 21

2x = 36

x = 18

Test it out and see if it fits the description, And if you don't understand anything just let me know so I can explain more.  

3 0
3 years ago
What is the least positive integer divisible by the numbers 2, 4, and 7?
Viefleur [7K]

Answer:

Least positive integer divisible by the numbers 2, 4, and 7 is  28

Step-by-step explanation:

We can find the least positive integer divisible by the numbers 2, 4, and 7 by taking the LCM

First lets List all prime factors for each number.

Prime Factorization of 2

2 is prime  =>  2^1

Prime Factorization of 4 is:

2 x 2  =>  2^2

Prime Factorization of 7 is:

7 is prime  => 7^1

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 2, 7

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 7 = 28

7 0
3 years ago
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