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sladkih [1.3K]
2 years ago
4

What is the area of the trapezoid?

Mathematics
2 answers:
mash [69]2 years ago
5 0

Answer: second option.

Step-by-step explanation:

For this exercise you need to use the formula for calculate the area of a trapezoid. This is:

A_{trapezoid}=\frac{1}{2}(B+b) (h)

Where "B" and "b" are the lengths of the bases and "h" is the  height of the trapezoid.

In this case, according to the information given in the exercise, you know that:

B=19\ m\\\\b=13\ m\\\\h=16\ m

Then, knowing these values, you can substitute them into the formula given above and after evaluate, you will obtain the area of that trapezoid.

Therefore, the result is:

A_{trapezoid}=\frac{1}{2}(19\ m+13\ m) (16\ m)\\\\A_{trapezoid}=\frac{1}{2}(32\ m) (16\ m)\\\\A_{trapezoid}=\frac{1}{2}(512\ m^2) \\\\A_{trapezoid}=256\ m^2

Mekhanik [1.2K]2 years ago
5 0

Answer:

B

Step-by-step explanation:

BBBBBBBBbbbbbBBBBBbbbbbBBBBBBbbbbbBBBBBBBBbbbbbbBBBBBBbbbbbbBBBBBBbbbbbBBBBBBBbbbbbBBBBBBBbbbbbbBBBBBBBBBBBbbbbbbbBBBBBBBBbbbbbbbbbbbBBBBBBBBBbbbbbbBBBBBBBbbbb

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Andru [333]

Answer:

It's false.... correct is a2+2ab+b2

Step-by-step explanation:

This cannot be factored anymore although. when we try to substitute a with 5 and b with 2, the answer in the right hand side of the equation is -9.

That's why it's false.

3 0
2 years ago
Translate triangle a by vector (-3/1)to give triangle b. Then rotate your triangle b 180 degrees around the origin to give trian
Dmitrij [34]

Answer:

Rotation of triangle A across a point (1.5, -0.5) by 180°.

Step-by-step explanation:

Translation of a figure about a vector \binom{-3}{1} means translation of a figure by 3 units to the left on x-axis and 1 unit in the positive direction of the y-axis.

Rule for the translation will be,

(x, y) → [(x - 3), (y + 1)]

From the figure attached,

Vertices of the triangle A are A(1, -1), B(1, -4) and C(3, -4)

After translation new image points will be A'(-2, 0), B'(-2, -3), C'(0, -3).

After rotation of these image points 180° about the origin will be,

Rule for the rotation,

(x, y) → (-x, -y)

A'(-2, 0) → A"(2, 0)

B'(-2, -3) → B"(2, 3)

C'(0, -3) → C"(0, 3)

Therefore, A(1, -1) → A"(2, 0) is the single transformation.

Rule for this transformation which maps triangle C to A will be defined by,

Rotation of triangle A across a point (1.5, -0.5) by 180°.

8 0
2 years ago
Chandresh is helping his father paint the fence in their back yard. The fence is represented by the shaded part of the diagram b
Lyrx [107]

B. The total area painted is 864; they must buy two cans of paint.

Step-by-step explanation:

Step 1:

A rectangle's area can be calculated by multiplying its length and its width. The wall is made up of 5 different types of rectangular walls. All walls are 8 feet tall but the length varies.

Step 2:

The area of the 20 feet long wall = (length)(width)= (20)(8) =160,

The area of the 10 feet long wall = (length)(width)= (10)(8) =80,

The area of the 5 feet long wall = (length)(width)= (5)(8) =40,

The area of the 4 feet long wall = (length)(width)= (4)(8) =32,

The area of the 15 feet long wall = (length)(width)= (15)(8) =120.

The area of all the walls = 432 square feet.

Since there are two sides for every wall, total area = 432(2)=864 square feet.

Step 3:

If one paint can covers 500 square feet,

the number of cans required to paint 864 square feet = \frac{864}{500} = 1.728 cans.

so 2 paint cans are needed to paint 864 square feet which is option B.

7 0
2 years ago
An artist forms a spherical glass ornament that has a diameter of 6 cm. What is the volume of the ornament? Use 3.14 for π.
Mrrafil [7]

Answer:

1st option: 113.04 cm³

Step-by-step explanation:

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Volume of ornament

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A triangular piece of rubber is stretched equally from all sides, without distorting its shape, such that each side of the enlar
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<span>The area increases to 2 times the original value. </span>
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