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natka813 [3]
4 years ago
9

A skyscraper in London, England, has a roof in the shape of a square pyramid. Its approximate dimensions are shown in the net.

Mathematics
2 answers:
kirza4 [7]4 years ago
5 0

Answer:

3300 Hope this helps and extra good luck!

Step-by-step explanation:

sergiy2304 [10]4 years ago
3 0
For this question, find the area of each individual figure and then add all of them together.

Let's start with the triangles. To find the area of a triangle, use the formula A = \frac{1}{2}bh (b = base and h = height).

A = \frac{1}{2}bh
A = \frac{1}{2}(30)(40)
A = \frac{1}{2}(1200)
A = \frac{1200}{2}
A = 600m²

There are 4 triangles, so multiply the area of one triangle by 4 to find the area of all 4 triangles.
(600)(4) = 2400m²

Now we can find the area of the square. To find the area of a square, simply multiply the length x width (or square one side).
A = l x w
A = (30)(30)
A = 900m²

Add together the area of the triangles and the area of the square to get the total area:
2400 + 900 =  3300m²

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On a coordinate plane, the endpoints of line segment JK are J(−10,12) and K(8,−12). Point L lies on line segment JK and divides
lakkis [162]

Answer:

The coordinates of point L are (4.4 , -7.2) ⇒ answer A

Step-by-step explanation:

Assume that point L is (x , y)

Point L divides the line segment JK into two line segments such that

the ratio of JK to KL is 5 : 1

The coordinates of point J are (-10 , 12)

The coordinates of point K are (8 , -12)

∵ x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}

∵ y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}

Let (x_{1},y_{1}) = (-10 , 12) and (x_{2},y_{2}) = (8 , -12)

and m_{1}:m_{2} = JL : KL

∵ JK : KL = 5 : 1

∵ JK = JL + KL

∴ 5 = JL + 1

Subtract 1 from both sides

∴ JL = 4

∴ JL : LK = 4 : 1

∴ m_{1}:m_{2} = 4 : 1

∵ x=\frac{(-10)(1)+(8)(4)}{4+1}

∴ x=\frac{-10+32}{5}

∴ x=\frac{22}{5}=4.4

∴ <u><em>The x-coordinate of point L is 4.4</em></u>

∵ y=\frac{(12)(1)+(-12)(4)}{4+1}

∴ y=\frac{12+(-48)}{5}

∴ y=\frac{-36}{5}=-7.2

∴ <u><em>The y-coordinate of point L is -7.2</em></u>

* The coordinates of point L are (4.4 , -7.2)

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3 years ago
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Isolate y for 3x+2y=8

y =  \frac{8-3x}{2}

hope this helps!
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