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butalik [34]
3 years ago
5

Answer the 3 question with the Task card Thank you.

Mathematics
1 answer:
REY [17]3 years ago
3 0

Answer:

Please see below.

Step-by-step explanation:

I will be using * to express multiplication, and ^ to express squares.

A) Can you find the area of the shape?

Yes, we can.

We can simply multiply 5x - 3 by 2x, as seen below.

(2x)(5x - 3)

2x * 5x = 10x^2

2x * -3 = -6x

Area = 10x^2 - 6x

B) Can you find the perimeter of the shape?

Yes.

Because a rectangle has two sets of equal sides, we can merely multiply the two given measurements by two and add them together to find the perimeter.

2x * 2 = 4x

2(5x - 3) = 10x - 6

4x + 10x - 6 = 14x - 6

Perimeter = 14x - 6

C) If x = 2, what is the area of the shape?

We can just plug in 2 wherever our x shows up.

5x - 3 = 5 * 2 - 3 = 10 - 3 = 7

2x = 2 * 2 = 4

7 x 4 = 28

We can also use our previous formula from A.

10x^2 - 6x

10 * 2^2 - 6 * 2

10 * 4 - 12

40 - 12

28

Our area if 28 if x = 2

Please let me know if any of these are incorrect.

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Katen [24]

The amount of cardboard needed to make a cuboid box of dimensions 8 inch, 3 inches and 3 inches is 114 sq. inches.

<h3>What is the surface area of cuboid?</h3>

Let the three dimensions(height, length, width) be x, y,z units respectively.

The surface area of the cuboid is given by

S = 2(a\times b + b\times c + c\times a)

For this case, tissue box is almost cuboid shaped.

Also, its dimensions are given being 8 inches, 3 inches and 3 inches.

Suppose we measure the amount of cardboard needed in terms of area, then, the amount of cardboard needed to make that box(without any whole, full cuboid) is equal to the area of its surface(either outer or inner if we assume 0 inches thickness of cardboard),

Thus, we get:

Amount of cardboard needed = surface area of cuboid box with dimensions 8 by 3 by 3 (in inches)

= 2(8 \times 3 + 3 \times 3 + 3 \times 8) = 114 \: \rm in^2

Thus, the amount of cardboard needed to make a cuboid box of dimensions 8 inch, 3 inches and 3 inches is 114 sq. inches.

Learn more about surface area of cuboid here:

brainly.com/question/13522634

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5 0
2 years ago
Pls help<br> will mark brainliest
yanalaym [24]

Answer:

1.93433

Step-by-step explanation:

Since all triangles have an interior angle sum of 180, the second angle is 45. this also means that x and y are equal. Using the pythagorean theorem, we can produce the equation 2\sqrt{14} = 2x^2. dividing both sides by two we get x^2= \sqrt{14}. when we take the square root of root 14 we get 1.934335

4 0
3 years ago
A triangle has a perimeter of 10a + 3b + 12 and has sides of length 3a + 8 and 5a + b what is the length of the third side ?
RideAnS [48]

Answer:

  2a +2b +4

Step-by-step explanation:

The perimeter is the sum of the lengths of the three sides. If x represents the length of the third side, then ...

  (3a +8) +(5a +b) +x = (10a +3b +12)

Subtracting from the equation everything on the left side that is not x, we get ...

  x = (10a +3b +12) -(3a +8) -(5a +b)

  = a(10 -3 -5) +b(3 -1) +(12 -8)

  = 2a +2b +4

The length of the third side is 2a +2b +4.

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3 years ago
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Hope this is what you are looking for

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3 years ago
Cathy uses 3/4 teaspoon of vanilla in a batch of cookies. How many teaspoons are needed for 8 batches of cookies
Leno4ka [110]

Answer: 6

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