Answer:
0.4069 ; 1.843
Step-by-step explanation:
Given:
Base of parallelogram, b = (2x - 1)
Height = (4x - 7)
Area = 1
Area of parallelogram = Base * height
Area of parallelogram = (2x - 1) * (4x - 7)
(2x - 1) * (4x - 7) = 1
8x² - 14x - 4x + 7 = 1
8x² - 18x + 7 - 1 = 0
8x² - 18x + 6 = 0
Divide through by 2
4x² - 9x + 3 = 0
Solving the quadratic equation :
Using the formula
-b ± √(b² - 4ac) / 2a
a = 4 ; b = - 9 ; c = 3
Plugging in the values :
-(-9) ± √((-9)² - 4(4)(3)) / 2(4)
9 ± √(81 - 48) / 8
9 ± √33 / 8
(9 ± 5.7445626) / 8
(9 - 5.7445626) / 8) = 0.4069
(9 + 5.7445626) / 8 = 1.843
Answer:
We know
sin (A + B) = sin A cos B + cos A sin B
sin (A - B) = sin A cos B - cos A sin B
(A + B) + sin (A - B)
= sin A cos B + cos A sin B + sin A cos B - cos A sin B
= sin A cos B + sin A cos B
= 2 sin A cos B
Answer:
Step(iii)
The value of 'f' = 3
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given - 12 = 4(f-6)
Multiply
- 12 = 4 f - 24
<u><em>Step(ii):-</em></u>
- 12 = 4 f - 24
Adding '12' on both sides, we get
- 12 + 12 = 4 f - 24 + 12
0 = 4 f - 12
4f - 12 =0
4 f = 12
<u><em>Step(iii):</em></u>-
Dividing '4' on both sides, we get
f = 3
Answer:1,200 students
Step-by-step explanation:
540/45=12=1%
12*100=1,200
3.14(a2+ab)
3.14(3(2)+3(4)
3.14 +6+12
3.14+18
21.14 I think that's it sorry if it's not.
