Step-by-step explanation:
Refer Fig 1 as attached
1a. angle a = angle b = 25°
AM = 8 x cos 35° = 6.553
so AB = AM x 2 = 13.1
1b. Area of sector OAB / Area of the circle
= 130 / 360
Area of sector OAB = 8x8xpi x 130/360
= 23pi
1c. Area OAB = 2 X ( AM x OM) /2 = AM x OM
OM = AM x tan (angle a) = 13.1 x tan 25°
= 6.109
so Area OAB = 6.553 x 6.109 = 40.03
1d. Area of the minor segment
= Area of sector OAB - Area of triangle OAB
= 23pi - 40.03
= 32.23
2, 3 Please refering the approach as above to find the answers
4. Refer Fig 2 as attached
a = 3
the cord is 3 cm from the centre
5. Repeat the approach of 4 above please.
Answer:
See explanation
Step-by-step explanation:
Consider the sequence 10, 6, 2, -2, -4, ...
Rewrite it as
The points on the coordinate plane are
(see attached graph).
Since
given sequence is arithmetic.
N = number of nights
M = number of meals
n = cost per night
m = cost per meal
T = total cost
Nn + Mm = T
They give us two scenarios :
1. N = 3 and M = 1 and T = 250
3n + 1m = 250
2. N = 3 and M = 6 and T = 330
3n + 6m = 330
Thus, we have a system of equations.
In the first equation, solve for m.
m = 250 - 3n
Now, plug this into the second equation and solve for n.
3n + 6m = 330
3n + 6(250 - 3n) = 330
3n + 1500 - 18n = 330
-15n = -1170
n = $78
Now, plug this back into our equation for m and solve.
m = 250 - 3n
m = 250 - 3(78)
m = 250 - 234
m = $16
Thus, it costs $78 per night and $16 per meal.
Hi there!
Answer:
<u><em>x=-56 and -56=x</em></u>
Step-by-step explanation:
addition property of equality is adding the same number both sides of an equation does not change the equation.
subtraction property of equality is subtraction the same number from both sides of an equation does not change the equation.
subtract by 6 both sides of an equation.
x+6-6=-50-6
simplify.
-50-6=-56
50+6=56
56-6=50
x=-56 and -56=x
Hope this helps!
-Charlie
Have a great day!
Answer:
-8, -5, 6, 16
Step-by-step explanation:
hope this helps
