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Lera25 [3.4K]
3 years ago
8

Challenge: Find the area of the polygon.

Mathematics
1 answer:
3241004551 [841]3 years ago
4 0

Answer:

3.6 {m}^{2}

Step-by-step explanation:

The area of a rectangle is length times width.

We divide the polygon into 4 rectangles:

The area of the first rectangle is :

0.4 \times 0.4 = 0.16 {m}^{2}

The area of the second rectangle is

2.4 \times 0.6 = 1.44 {m}^{2}

The area of the 3rd rectangle is

1.6 \times 1 = 1.6 {m}^{2}

The area of the fourth rectangle is

0.4 \times 1 = 0.4 {m}^{2}

Putting all together, the area of the polygon is;

0.16+1.44+1.6+0.4=3.6m²

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Ray UW is the angle bisector of AngleVUT.
tester [92]

Answer:

AngleWUT =38°, option 2

Step-by-step explanation:

We have three rays passing through U. A ray is set extend in one direction with one fixed point.

We have UW ray bisecting VUT.As the ray bisects the angle between VUW and WUT would be same .

Given angles are (4x+6)° and (6x-10)°.

As these angles are equal

4x+6=6x-10

2x=16

x=8

AngleWUT = (6x – 10)°

and x is 8 so on substituting AngleWUT =38°.

5 0
3 years ago
Read 2 more answers
What is 37 divided by 748​
Pavlova-9 [17]

Answer:

0.04946524064

Step-by-step explanation:

or is it 748/37

5 0
3 years ago
Given the following roots build a polynomial function in standard form: -3 and +2
swat32

Answer:

  f(x) = x² +x -6

Step-by-step explanation:

The standard form will look like ...

  f(x) = x² +bx +c

where b is the opposite of the sum of the roots, and c is their product.

  f(x) = x² -(-3+2)x +(-3)(2)

  f(x) = x² +x -6

_____

<em>Additional comment</em>

In general, "standard form" is ax²+bx+c. In this case, the coefficient 'a' can be 1 since neither of the roots is expressed as a fraction. The sum of roots is (-b/a) and the product of roots is (c/a).

3 0
3 years ago
The area of a rectangle is 72 cm square. The length of the rectangle is 6 cm longer than the width. What is the width of the rec
miskamm [114]

The correct option will be :  B) 6 cm.

<u><em>Explanation</em></u>

Suppose, the width of the rectangle is x cm.

As, the length is 6 cm longer than the width, so the length will be: (x+6) cm.

<u>Formula for the Area of rectangle</u> is: (Length)*(Width)

Given that, the area of a rectangle is 72 cm²

So....

x(x+6)=72\\ \\ x^2+6x-72=0\\ \\ (x+12)(x-6)=0

Using zero-product property, we will get...

x+12=0\\ x= -12 <em>(Negative value is ignored as width can't be negative)</em>

and

x-6=0\\ x=6

So, the width of the rectangle is 6 cm.

6 0
3 years ago
Simplify<br> -3c+5d+3c-d
Rina8888 [55]

Answer:

4d

-3x+3c+5d-d

=0+4d

=4d

8 0
3 years ago
Read 2 more answers
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