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Mars2501 [29]
3 years ago
12

Find the volume of the figure above.

Mathematics
1 answer:
leonid [27]3 years ago
7 0

Answer:

234

Step-by-step explanation:

Base can be divided on 2 rectangles : 4*4.5 and 9*(9 - 4.5).

Area base = 4*4.5 + 9*(9 - 4.5)

height prism = 4

Volume prism = Area base* height prism = [4*4.5 + 9*(9 - 4.5)] *4 = 234 cm³

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An artist designed a metal structure in the shape of a pyramid with dimensions as shown. A pyramid has a square base with side l
bagirrra123 [75]

Answer:

Step-by-step explanation:

In order to determine the number of

tiles she will need to cover the pyramid, we would apply the formula for determining the total surface area of a pyramid. It is expressed as

Total surface area = 1/2 × p × l + base area

Where

p represents the perimeter of the base

l represents the slant height of the triangular face

Since the base is a square, the perimeter, p is

12 × 4 = 48 feet

l = 15 feet

Base area = 12² = 144 ft²

Total surface area = (1/2 × 48 × 15) + 144 = 504 ft²

Since the artist decides to cover the metal structure with 1-foot square glass tiles, the number of tiles needed is

504/1 = 504 tiles

6 0
3 years ago
Janie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?
UkoKoshka [18]

Answer:

Option (D) is correct.

No, They will not intersect.

Step-by-step explanation:

Given Points for g(x), (1,2) , (2,4) and (3,6)

Since g is a linear function then it must be in form of  g(x) = mx +c where, c is constant and m is slope.

We first calculate the slope using,

m=\frac{y_2-y_1}{x_2-x_1}

Here, consider x_1=1 , x_2=2 , y_1=2, y_2=4

Substitute above, we get slope as,

m=\frac{4-2}{2-1}=2

Thus, equation becomes g(x) = 2x + c  ...(1)

For c plug the values  in (1),

(1,2) ⇒ 2= 2 + c ⇒  c = 0

Thus, Equation of G(x) is 2x.

When we plot it it do not intersect f(x).

Thus, Option (D) is correct.

No, They will not intersect.




3 0
3 years ago
Read 2 more answers
A surveyor standing at A notices two posts B and C on the opposite side of a canal. The posts are 120m apart. If the angle of si
AveGali [126]

Unfortunately there isn't enough information.

Check out the diagram below. We have segment BC equal to 120 meters long. Points B, C, D and E are all on the edge of the same circle. According to the inscribed angle theorem, angles BDC and BEC are congruent. This shows that the surveyor could be at points D or E, or the surveyor could be anywhere on the circle. There are infinitely many locations for the surveyor to be at, which leads to infinitely many possible widths of this canal.

5 0
3 years ago
625÷5×6=x what is x​
pychu [463]

Answer:

750

Step-by-step explanation:

trust

7 0
3 years ago
two patterns start at 0. the rule for pattern A is add 2. the rule for pattern B is add 3. what is the value of pattern B when p
mariarad [96]

Answer:4.5

Step-by-step explanation:

A   0   1       2      3

B   0   1.5    3     4.5

7 0
3 years ago
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