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MaRussiya [10]
3 years ago
9

At 3:00 PM a man 138 cm tall casts a shadow 148 cm long. At the same time, a tall building nearby casts a shadow 199 m long. How

tall is the building?
Mathematics
2 answers:
ankoles [38]3 years ago
5 0

well I dont know this stuff but notice that the man is 138 and shadow is 148 its ten cm away exactly so if the 199 shadow was casted then the building is 189m long

Elenna [48]3 years ago
3 0

The answer is 51 Meters. I subtracted the man from the building and it's 51 meters.

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An inner city revitalization zone is a rectangle that is twice as long as it is wide. The width of the region is growing at a ra
Ket [755]

Answer:

The area is changing at the point of  \mathbf{61200 m^2/year}

Step-by-step explanation:

From the given information:

Let's recall from our previous knowledge that the formula for finding the area of a rectangle = L × w

where;

L = length and w = width of the rectangle

Suppose the Length L is twice the width w

Then L = 2w --- (1)

From The area of a rectangle

A = L  × w

A = 2w  × w

A = 2w²

Taking the above differentiating with respect to time

\dfrac{dA}{dt }= 4w \times  \dfrac{dw}{dt} --- (2)

At the time t

\dfrac{dw}{dt}= 34 m \ per \ year ; w = 450 \ m

Replacing the values back into equation 2, we get:

\dfrac{dA}{dt }= 4 \times 450 \times 34

\mathbf{\dfrac{dA}{dt }= 61200 m^2/year}

7 0
3 years ago
If A(-5,7), B(-4,-5), C(-1,-6) and D(4,5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD.
MrMuchimi
After plotting the quadrilateral in a Cartesian plane, you can see that it is not a particular quadrilateral. Hence, you need to divide it into two triangles. Let's take ABC and ADC.

The area of a triangle with vertices known is  given by the matrix
M = \left[\begin{array}{ccc} x_{1}&y_{1}&1\\x_{2}&y_{2}&1\\x_{3}&y_{3}&1\end{array}\right]

Area = 1/2· | det(M) |
        = 1/2· | x₁·y₂ - x₂·y₁ + x₂·y₃ - x₃·y₂ + x₃·y₁ - x₁·y₃ |
        = 1/2· | x₁·(y₂ - y₃) + x₂·(y₃ - y₁) + x₃·(y₁ - y₂) |

Therefore, the area of ABC will be:
A(ABC) = 1/2· | (-5)·(-5 - (-6)) + (-4)·(-6 - 7) + (-1)·(7 - (-5)) |
             = 1/2· | -5·(1) - 4·(-13) - 1·(12) |
             = 1/2 | 35 |
             = 35/2

Similarly, the area of ADC will be:
A(ABC) = 1/2· | (-5)·(5 - (-6)) + (4)·(-6 - 7) + (-1)·(7 - 5) |
             = 1/2· | -5·(11) + 4·(-13) - 1·(2) |
             = 1/2 | -109 |
<span>             = 109/2</span>

The total area of the quadrilateral will be the sum of the areas of the two triangles:

A(ABCD) = A(ABC) + A(ADC) 
               = 35/2 + 109/2
               = 72
8 0
4 years ago
Find the area of the following figure:
stellarik [79]

Answer:

12m

Step-by-step explanation:

You can break this shape down into a square and a trapezoid. Frist you can find the area of the square by multiplying 2 by 5 to get 10. Then you would find the area of a trapezoid by doing Area = 1/2height(base1+base2). We can find the height by subtracting 5 from 9. (We do this because we know the side of the square is 5m) Therefore the height would be 4m. We know the bases are 2 and 4. From there you can plug those numbers in to the formula. Area=1/2 * 4 (2 + 4)

Area= 1/2 * 4 (6)

Area = 2(6)

Area = 12m

4 0
3 years ago
How do you find the area of a composite figure?
Orlov [11]

Answer:

See below.

Step-by-step explanation:

Top prism:

To find the volume of the top prism, multiply the area of the base by the height. This is 1/2 times width times height times length.

V =1/2 l*w*h =1/2* 3*2.8*8 = 33.6

To find the surface area of a prism, find the area of the triangular base and the area of each rectangular side.

Area of the base is A = 1/2 * b*h = 1/2 * 3 * 8 = 12. Since there are 2 bases, the area is 24.

Area of the rectangular side is A = b*h = 2.8*5 = 14. Since there are two, the area is 2*14 = 42.

The surface area of the prism is 24 + 28 = 52.

Bottom prism:

To find the volume of the bottom prism, multiply the width times the height times the length.

V = l*w*h = 8*2.8*4.8 = 107.52

To find the surface area of the bottom prism, find the area of the base and each side of the house.

A = 8*2.8 = 22.4

A = 8*4.8 = 38.4 which occurs twice so it has a total area of 76.8

A = 2.8*4.8 = 13.44 which occurs twice so it has an area of 26.88.

The total volume is 33.6 + 107.52 = 141.12

The total surface area is 52 + 22.4 + 76.8 + 26.88 = 178.08

6 0
3 years ago
Linda just turned 15 and is planning to go to college. She has researched her favorite Texas university and discovered the tuiti
egoroff_w [7]

Answer:

Linda needs to raise a minimum of $9,000 to completely pay for her tuition fee for the first year, that is, $250 per month

Step-by-step explanation:

Tuition fee = $14,000 per year

Linda received a $5000 gift that she will use for her first year of college tuition during her 15th birthday

Amount remaining = Tuition fee - gift money received

= $14,000 - $5,000

= $9,000

Linda needs to raise $9,000 in the next three years to contribute to her first year of college tuition

The minimum amount Linda needs to save each month in the next three years to raise $9,000

= Remaining tuition / 3 years

= $9,000 / 3 * 12 months

= $9,000 / 36 months

= $250 per month

3 0
3 years ago
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