<u>Story Problem</u>
Mr. Bill Gates bought a house in Italy for 
and a house in Canada for 
. What is the total cost of the two houses?
we know that
The total cost is the sum of the cost each house
so
therefore
the answer is
The total cost is 
Answer:
Step-by-step explanation:
|4r−12| = -(4r-12) when 4r-12< 0
4r< 12 so r<3
Answer:
∠a = 39°
∠b = 129°
Step-by-step explanation:
Vertical angles are congruent. An exterior angle of a triangle is equal to the sum of the remote interior angles.
<h3>Application</h3>
Angle y and angle 'a' are vertical angles, so congruent.
∠a = ∠y = 39°
The angle marked 'b' is an exterior angle to the triangle. Its remote interior angles are 'a' and the one marked 90°.
∠b = ∠a +90° = 39° +90°
∠b = 129°
Answer:
b1 = 2 ; r = 3
Step-by-step explanation:
Given that :
if b3 −b1 = 16 and b5 −b3 = 144.
For a geometric series :
Ist term = a
Second term = ar
3rd term = ar^2
4th term = ar^3
5th term = ar^4 ;...
If b3 - b1 = 16;
ar^2 - a = 16
a(r^2 - 1) = 16 - - - (1)
b5 - b3 = 144
ar^4 - ar^2 = 144
ar^2(r^2 - 1) = 144 - - - - (2)
Divide (1) by (2)
a(r^2 - 1) / ar^2(r^2 - 1) = 16 /144
a / ar^2 = 1 / 9
ar^2 = 9a
Substitute for a in ar^2 - a = 16
9a - a = 16
8a = 16
a = 2
From ar^2 - a = 16
2r^2 - 2 = 16
2r^2 = 16 + 2
2r^2 = 18
r^2 = 18 / 2
r^2 = 9
r = √9
r = 3
Hence ;
a = b1 = 2 ; r = 3
Answer:
<u>x = 6 units</u>
Step-by-step explanation:
We know that, By pythagoras theorem,
Hypotenuse2 = base2 + perpendicular2
Given, Hypotenuse = 6.5
perpendicular = 2.5
base = x
So, by putting the values,
6.52 = 2.52 + x2
42.25 = 6.25 + x2
36 = x2
Hence, <u>x = 6 units</u>
