Answer:
(x-7)^2 + (y+3)^2 = 49
Step-by-step explanation:
The general equation for a circle is given by
(x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
(x-7)^2 + (y- -3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 49
Total Area<span>0.42*TotalArea = 5880 <span>Hence TotalArea = 5880/0.42 = 14000 sq ft </span></span>
The surface area of the smaller solid is 112 km².
<h3>What are Similar Solids?</h3>
Similar shapes are enlargements of two shapes using a scale factor.
The ratio of the volume of similar solids is the ratio of the cube of their length.
Formula:
- V/v = L³/l³................... Equation 1
- L/l = ∛(V/v)............... Equation 2
Where:
- V = Volume of the larger solid
- v = volume of the smaller solid
- L = Length of the larger solid
- l = Length of the smaller solid.
From the question,
Given:
Substitute the value into equation 2
To calculate the area of the smaller solid, we use the formula below
Where:
- a = Area of the smaller solid.
- A = Area of the larger solid
make a the subject of the equation
- a = (l²A)/L²................ Equation 2
From the question,
Given:
Substitute these values into equation 2
- a = (4²/9²)567
- a = 112 km²
Hence, the surface area of the smaller solid is 112 km².
Learn more about similar shapes here: brainly.com/question/2644832
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The two figures are congruent because the side lengths are the same, therefore making the angle measures the same.
Answer:
x = 9
Step-by-step explanation:
44 = 2(3x-5)
2(3x-5) expanded is 6x -10
44= 6x -10
+10 to both sides
=
54 =6x
54 divide by 6 = 9
x = 9
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