Answer:
A fraction between that is 2311/3740
Step-by-step explanation:
This is because the denominator is simplified into one number and the fraction is taken from there.
Answer:
x = 3
y = 2
Step-by-step explanation:
<u>GIVEN :-</u>
- PQ = 2y + 3
- QR = 4y + 1
- RS = y + 5
- PS = 4x - 3
<u>TO FIND :-</u>
- The values of x & y for which PQRS will be a parallelogram
<u>FACTS TO KNOW BEFORE SOLVING :-</u>
In a parallelogram , pair of opposite sides are always equal in length.
<u>SOLUTION :-</u>
PQRS will be a parallelogram only when :-
1) Assume that PQ = RS.
![=> 2y + 3 = y + 5](https://tex.z-dn.net/?f=%3D%3E%202y%20%2B%203%20%3D%20y%20%2B%205)
![=> 2y - y = 5 - 3](https://tex.z-dn.net/?f=%3D%3E%202y%20-%20y%20%3D%205%20-%203)
![=> y = 2](https://tex.z-dn.net/?f=%3D%3E%20y%20%3D%202)
∴ For y = 2 , PQ = RS.
2) Now, assume that PS = QR.
![=> 4x - 3 = 4y + 1](https://tex.z-dn.net/?f=%3D%3E%204x%20-%203%20%3D%204y%20%2B%201)
(Put y = 2 in the equation)
![=> 4x - 3 = 4 \times 2 + 1](https://tex.z-dn.net/?f=%3D%3E%204x%20-%203%20%3D%204%20%5Ctimes%202%20%2B%201)
![=> 4x - 3 = 9](https://tex.z-dn.net/?f=%3D%3E%204x%20-%203%20%3D%209)
![=> 4x = 9 + 3 = 12](https://tex.z-dn.net/?f=%3D%3E%204x%20%3D%209%20%2B%203%20%3D%2012)
![=> x = \frac{12}{4} = 3](https://tex.z-dn.net/?f=%3D%3E%20x%20%3D%20%5Cfrac%7B12%7D%7B4%7D%20%3D%203)
∴ For x = 3 , PS = QR.
<u>CONCLUSION :-</u>
For x = 3 & y = 2 , PQRS is a parallelogram.
<u>Given:</u>
A circle with a diameter of 20 m inside a triangle with a base length of 56 m and a height of 56 m.
<u>To find:</u>
The area of the shaded region.
<u>Solution:</u>
To find the area of the shaded region, we must subtract the area of the circle from the area of the triangle.
The area of a circle ![= \pi r^{2} .](https://tex.z-dn.net/?f=%3D%20%5Cpi%20r%5E%7B2%7D%20.)
The diameter of the circle is 20 m so the radius is
m.
The area of the circle
square m.
The area of a triangle ![=\frac{1}{2}(b)(h).](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%28b%29%28h%29.)
The triangle has a base length of 56 m and a height of 56 m.
The area of the triangle
square m.
The area of the shaded region
square m.
The area of the shaded region is 1,254 square m.
Answer:
1 + 1/3 -8 x/3 x+32x
Step-by-step explanation:
See the steps below:)
Answer:
(a) 30.0434%
(b) 0.3004338
Step-by-step explanation:
(a)
you add all the listed accidental causes
43000+13300+8000
=64300
92200-64300
=27700
to find the percent
27700/92200*100,
= 30.0434%
(b) 27700/92200
= 0.3004338