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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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8 0
3 years ago
The scale on a map is 1 inch =2 1/2 miles.the distance between two streets on the map is 1 3/4 inches what is the actual distanc
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Answer:

4 3/8 miles

Step-by-step explanation:

We are told that: the scale on a map is 1 inch =2 1/2 miles.the distance between two streets on the map is 1 3/4 inches

If 1 inches = 2 1/2 miles

1 3/4 inches =

Cross Multiply

1 3/4 × 2 1/2/1

= 7/4 × 5/2

= 35/8

= 4 3/8 miles

The actual distance between these streets is 4 3/8 miles

7 0
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Decide if the answer to 8/7 x 12 is less than, greater than, or equal to 12.
Genrish500 [490]

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Option C.

Step-by-step explanation:

6 0
3 years ago
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What is the exact solution of cos (17pi/6)?
kolbaska11 [484]
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cos 510° = -(√3)/2

Hope this answers the question. Have a nice day.
4 0
3 years ago
A pumpkin is launched directly upwards at 72 feet per second from a platform 24 feet high. The pumpkins height, h, at time t sec
STALIN [3.7K]

Answer: Maximum height =  105 feet

And, It takes 9/4 seconds to reach that point.

Step-by-step explanation:

Here the given function that shows the height of the pumpkin,

h(t) = -16t^2 + 72t + 24 --------(1)

Where t is the time in second.

Differentiating equation (1) with respect to t,

We get,    h'(t) = -32 t + 72

Again differentiating above equation with respect to t,

We get,   h''(t) = -32

For maximum or minimum,    h'(t) = 0

- 32 t + 72 = 0

32 t = 72

t = \frac{9}{4}

At t = 9/4 , h''(t) = Negative value,

Therefore, At t = 9/4 seconds, h(t) is maximum,

And, the maximum value is,

h(\frac{9}{4} ) = -16(\frac{9}{4})^2 + 72(\frac{9}{4}) + 24

h(\frac{9}{4} ) = -16(\frac{81}{16})+ 72(\frac{9}{4}) + 24

h(\frac{9}{4} ) = -81 + 162 + 24=105

Therefore, the maximum height of the pumpkin is 105 feet at 9/4 seconds

8 0
3 years ago
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