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Bogdan [553]
3 years ago
10

What is the total surface area of this rectangular pyramid? square meters

Mathematics
2 answers:
ziro4ka [17]3 years ago
8 0

Answer:

The total answer is : 10956 m²

Step-by-step explanation:

siniylev [52]3 years ago
6 0

Answer:

The total surface area = 10956 m²

Step-by-step explanation:

∵ The pyramid is rectangular pyramid

∴ It has a rectangular base with dimensions of 50 m and 78 m

∴ It has four faces each two opposite are congruent

* to find the total surface area, we will find the area of

  each face and add them together

- Area base = L × W

∴  Area base = 50 × 78 = 3900 m² ⇒ (1)

- Area of triangular face of dimensions:

 base = 50 m and height = 60 m

∵ Area triangle = 1/2 × base × height

∴ Area triangle = 1/2 × 50 × 60 = 1500 m²

∵ We have another triangle congruent to this triangle (opposite faces)

∴ Area of the two congruent faces = 1500 × 2 = 3000 m² ⇒ (2)

- Area of triangular face of dimensions:

 base = 78 m and height = 52 m

∵ Area triangle = 1/2 × base × height

∴ Area triangle = 1/2 × 78 × 52 = 2028 m²

∵ We have another triangle congruent to this triangle (opposite faces)

∴ Area of the two congruent faces = 2028 × 2 = 4056 m² ⇒ (3)

∴ Add (1) , (2) and (3)

∴ The total surface area = 3900 + 3000 + 4056 = 10956 m²

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the ratio of boys to girls in janices classroom is 3:5, and there are a total of 32 students in the class, help plss​
svetoff [14.1K]

9514 1404 393

Answer:

  • 12 boys
  • 20 girls

Step-by-step explanation:

The total number of students (32) corresponds to the total number of ratio units (3+5 = 8), so each ratio unit represents 32/8 = 4 students.

The 3 ratio units representing boys will stand for 3×4 = 12 boys.

The 5 ratio units representing girls will stand for 5×4 = 20 girls.

There are 12 boys and 20 girls in Janice's classroom.

_____

<em>Additional comment</em>

I find the above solution to be the easiest.

You can also write a system of equations. Let b and g represent the numbers of boys and girls, respectively.

  b/g = 3/5

  b +g = 32

Multiplying the first equation by g gives an expression for b that can be substituted into the second equation:

  b = (3/5)g

  (3/5)g +g = 32

  8/5g = 32 . . . . . . . . . . . . . . . . . collect terms

  g = (5/8)(32) = 5·4 = 20 . . . . . . multiply by 5/8

  b = (3/5)(20) = 3·4 = 12 . . . . . . . find b using the value of g

5 0
2 years ago
The sum of 7 and the cube of a number
REY [17]

Answer:

1.99

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The issue of corporate tax reform has been cause for much debate in the United States. Among those in the legislature, 27% are R
Ilia_Sergeevich [38]

Answer:

The probability Democrat is selected given that this member favors some type of corporate tax reform is 0.6309.

Step-by-step explanation:

Let us suppose that,

R = Republicans

D = Democrats

I = Independents.

X = a member favors some type of corporate tax reform.

The information provided is:

P (R) = 0.27

P (D) = 0.56

P (I) = 0.17

P (X|R) = 0.34

P (X|D) = 0.41

P (X|I) = 0.25.

Compute the probability that a randomly selected member favors some type of corporate tax reform as follows:

P(X)=P(X|R)P(R)+P(X|D)P(D)+P(X|I)P(I)\\= (0.34\times0.27)+(0.41\times0.56)+(0.25\times0.17)\\=0.3639

The probability that a randomly selected member favors some type of corporate tax reform is P (X) = 0.3639.

Compute the probability Democrat is selected given that this member favors some type of corporate tax reform as follows:

P(D|X)=\frac{P(X|D)P(D)}{P(X)} =\frac{0.41\times0.56}{0.3639}=0.6309

Thus, the probability Democrat is selected given that this member favors some type of corporate tax reform is 0.6309.

5 0
3 years ago
Find the slope of the following ponit (5,1) and (7,-3)
MArishka [77]

Answer:

slope=-2

Step-by-step explanation:

First you need to know the slope formula: y2-y1/x2-x1

Then you just plug in and solve:

-3-1/7-5 = -4/2 = -2

5 0
3 years ago
Read 2 more answers
Solve x+4=10 A.x=2 B.x=3 C.x=6 D.x=14
labwork [276]

Answer:

C. x = 6

Step-by-step explanation:

6 + 4 = 10

8 0
3 years ago
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