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garik1379 [7]
3 years ago
12

I’ll give the Brainliest to who answers this question with a reasonable explanation.

Mathematics
1 answer:
topjm [15]3 years ago
3 0

Answer:

143.8\:\mathrm{ft^2}

Step-by-step explanation:

The composite figure shown in the picture consists of a semi-circle and a trapezoid. We can even break this trapezoid into a rectangle and two triangles for even simpler calculations. We can find the total area of the figure by simply adding the total area of the shapes we will break the figure into:

Area of semi-circle (half the area of a circle): \frac{1}{2}\cdot 4.5^2\cdot \pi

Area of trapezoid (average of bases multiplied by height): 16\cdot 7

Thus, the total area of the figure is:

\frac{1}{2}\cdot 4.5^2\cdot \pi+16\cdot 7=143.808625618\approx \boxed{143.8\:\mathrm{ft^2}}

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Ilia_Sergeevich [38]

Answer:

x = 2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Line segment GT contains the point G(−3, 5) and a midpoint at A(1, −4). What is the location of endpoint T?
algol [13]

Imagine you're moving along the segment. Since the midpoint is in the middle of the segment (obviously), it means that when you've traveled from G to A, you're halfway through your journey, along both x and y directions. So, let's break the problem in two and analyze both directions.


Along the x axis, you've moved from -3 to 1, so you moved 4 units forward. This means that you have 4 units still to go, and your journey will end at coordinate 5.


Similarly, along the y axis, you've moved from 5 to -4, so you moved 9 units downward. This means that you have 9 units still to go, and your journey will end at coordinate -13.


So, the coordinates of the endpoint are T = (5,-13)


If you prefer a more analyitical approach, simply write the definition of the midpoint and solve it for the coordinates of T.


We have G = (-3, 5) and T = (x_T,y_T). The midpoint is computed as


A = \left( \frac{-3+x_T}{2},\frac{5+y_T}{2} \right) = (1, -4)


So, you have the equations


\frac{-3+x_T}{2} = 1,\qquad \frac{5+y_T}{2} = -4


Multply both equations by 2 to get


-3+x_T = 2,\qquad 5+y_T = -8


Move the constants to the right hand sides to get


x_T = 5,\qquad y_T = -13

8 0
3 years ago
David is filling a cylindrical cup with medication for his next patient. If he only fills the cup half way, what is the volume o
nignag [31]

Answer:

Volume of medication in the cup = 50.24 cubic inches

Step-by-step explanation:

Volume of the cylindrical cup = πr^2h

Radius, r = 2 inches

Height, h = 8 inches

Volume of the cylindrical cup = πr^2h

= 3.14 × 2^2 × 8

= 3.14 × 4 × 8

= 100.48

Volume of the cylindrical cup = 100.48 cubic inches

If David only fills the cup half way,

then, the volume of medication in the cup = Total volume of the cylinder / 2

= 100.48 inches / 2

= 50.24 cubic inches

volume of medication in the cup = 50.24 cubic inches

7 0
3 years ago
Do these ratios make a proportion? 8/11 and 88/111
mixas84 [53]

Answer:

no

Step-by-step explanation:

111 divided by 11 is 10.0909090909

and 88 divided by 8 is 11 so no it`s not proportional.

3 0
3 years ago
Find the value of x.<br> 12<br> 6x - 6
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Answer:

x-

Step-by-step explanation:

8 0
3 years ago
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