<h3>Answer:</h3>
9. 471.7 square units
10. 827.0 square units
<h3>Explanation:</h3>
If you're going to have someone else solve your problem for you, it is much quicker and easier to use an appropriate computer or graphing calculator app. (See the attached.)
9. There are at least a couple of ways to approach this. The law of sines can be used to find the length of another side. Given two sides and the angle between them, a formula gives area.
<em>Law of Sines</em>
... a/sin(A) = c/sin(C)
Multiplying by sin(C) gives
... c = sin(C)·a/sin(A) = 19·sin(64°)/sin(20°) ≈ 49.9301
The angle between sides a and c is B, which has the value ...
... B = 180° -A -C = 180° -20° -64° = 96°
Then the area of the triangle is ...
... Area = (1/2)ac·sin(B) = (1/2)(19)(49.9301)(0.994522) ≈ 471.737 ≈ 471.7
10. Heron's formula will give the area of a triangle from its side lengths.
... s = (a+b+c)/2 = (51+38+45)/2 = 67
... Area = √(s(s-a)(s-b)(s-c)) = √(67·16·29·22) = √683936 ≈ 827.004 ≈ 827.0
Split this figure into 3 shapes: 2 triangles and 1 trapezoid
Area of top triangle = 1/2(7)(2) = 7 square units
Area of bottom triangle = 1/2(3)(7) = 10.5 square units
Area of trapezoid = 1/2(3 + 6)(4) = 18 square units
Area of the polygon = 7 + 10.5 + 18 = 35.5 square units
Answer:
C and D are unchanged, but E increases.
Step-by-step explanation:
Given equation of circle
x^2+y^2+Cx+Dy+E=0
But we know that general equation of circle is with center at (h,k)
x^2 + y^2 -2hx -2ky + (h^2 + k^2 – r^2) = 0
Comparing both equations we get,
C = -2hx
D = -2ky
As in the given question we are not changing the coordinates of center so C and D will remain unchanged.
It also gives us
E = (h^2 + k^2 – r^2)
Decreasing r means that a lesser quantity will be subtracted from h^2 + k^2 which will increase the value of E.
Answer:
c. 528000
Step-by-step explanation:
The computation of the amount that need to be paid is shown below:
Let us assume the side of the square shaped hall be X meter
s
So,
Perimeter = 4X
Now
4X = 400
X = 100m
Now
Area of the hall = 100 × 100 = 10000 sq. meter.
And,
The cost on total tiles is
= 10,000 × 48 = Rs. 480000
But, there is 10% damage has occurred that involved in the cost
So,
Total cost is
= Rs 480,000 + 10% of 480,000
= 480,000 + 48,000
= Rs. 5,28,000
