Answer:240.5
Step-by-step explanation:
Angle C = 87°(calculated)
AB=C
AC=220=b
Sine laws c\sin87=220\66
c=240.5
The value of x is x=2.57338 and x=−0.906718
<h3>What is equation?</h3>
An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.
Given:
3x²-5x-7=0
Using the discriminant method,
a = 3, b = -5, and c = -7
x= -b± √b²-4ac / 2a
x= 5 ± √25 + 84/ 6
x= 5± √ 109
Hence, x=2.57338 and x=−0.906718
Learn more about this concept here:
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Answer:
B) x = (-5 + √10)/3 and (-5 - √10)/3 is the answer.
Step-by-step explanation:
3x² + 10x + 5 = 0
a = 3
b = 10
c = 5
Finding the Discriminant (D),
D = b² - 4ac
D = 10² - 4 × 3 × 5
D = 100 - 60
D = 40
√D = 2√10
Using quadratic formula,
x = (-b ± √D)/2a
x = (-b + √D)/2a
x = (-10 + 2√10)/2 × 3
Taking out the common factor 2,
x = (-5 + √10)/3
Similarly,
x = (-b - √D)/2a
x = (-10 - 2√10)/2 × 3
x = (-5 - √10)/3
D
Radius of the circle is the length of rectangle divided by 2 (7cm)
Area of circle: pi*r²
Pi= 22/7
(22/7)*7²
=154
Since its a half circle, divide 154 by 2 =77
Area of rectangle:14*9=126
Subtract the circle from the rectangle: 126-77=49
Answer:
256
Step-by-step explanation:
The digits can only be one of four numbers.
4*4*4*4 = 4^4 = 256
