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Ira Lisetskai [31]
3 years ago
15

Danielle is making a quilt with triangles and squares. There are 4 colored triangles inside each square. The base and height of

each triangle is x + 4 inches as shown. Which polynomial represents the area of the colored triangles in square inches?
Mathematics
1 answer:
enyata [817]3 years ago
8 0

Answer:

(2x^2+16x+32)\ \text{sq. inches}

Step-by-step explanation:

b = h = Base = Height of triangle = (x+4)\ \text{inches}

Area of one triangle

A=\dfrac{1}{2}bh=\dfrac{1}{2}(x+4)(x+4)

There are 4 colored triangles so total area of the triangles is

4A=4\times \dfrac{1}{2}(x+4)(x+4)\\\Rightarrow 4A=2(x+4)^2\\\Rightarrow 4A=2(x^2+8x+16)\\\Rightarrow 4A=2x^2+16x+32

The area of the colored triangles is (2x^2+16x+32)\ \text{sq. inches}

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Of all the species in the world, 4 out of every 5 are insects what percentage of species are insects
Fiesta28 [93]

Answer:

80%

Step-by-step explanation:

So you basically, just make it a ratio. Since a percentage is out of 100, just make the 5 into 100. To get 5 to 100, you times 20. Then you do the same thing to the 4 which you get 80.

5 0
3 years ago
A parallelogram has a base of 7 units. If the height has a corresponding unit of 2/3.
nexus9112 [7]

Answer:

7 x 2/3 = 14/3 = 4 2/3

To find the area of a parallelogram, simply multiply the base times its height.

8 0
3 years ago
The $1 coin depicts Sacagawea and her infant son. The diameter of the coin is 26.5 mm, and the thickness is 2.00 mm. Find the vo
Contact [7]

Answer

Find the volume of the coin is cubic millimeters.

To prove

Formula

Volume\ of\ cylinder\ = \pi r^{2} h

Where r is the radius and h is the height .

As given

The $1 coin depicts Sacagawea and her infant son.

The diameter of the coin is 26.5 mm, and the thickness is 2.00 mm.

Radius = \frac{Diameter}{2}

Radius = \frac{26.5}{2}

Radius = 13.25 mm

\pi = 3.14

Put in the formula

Volume  of  coin  = 3.14 × 13.25 × 13.25 × 2.00

                            = 1102.53 mm³ (approx)

Therefore the volume of the coin is 1102.53 mm³ .

7 0
3 years ago
Sample Response: First, I wrote each ratio as a fraction. Then I found a common denominator of 20. The fraction 4/10 is 8/20. Co
lesantik [10]

In the case above, the option that one need to include in your answer is to Find a common denominator.

<h3>What is Fraction in lowest terms?</h3>

When the numerator and denominator of a fraction are known to not have common factor other than 1, then a person can say that the fraction in its simple form or say its in its lowest term.

Since there is a common numerator and the common denominator will be between 10 and 20. Since 10 is less that than 20, the common denominator will be 20 as both can divide it.

Hence, In the case above, the option that one need to include in your answer is to Find a common denominator.

Learn more about Fraction from

brainly.com/question/78672

#SPJ1

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2 years ago
What's is the absolute value -18 degrees
dybincka [34]
The absolute value would be 18 !
5 0
2 years ago
Read 2 more answers
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