Answer:
Step-by-step explanation:
The tangent is perpendicular to the radius. The given triangle is right if AB is tangent.
Use Pythagorean to verify
- 20² = 16² + 12²
- 400 = 256 + 144
- 400 = 400
Confirmed
Answer:
The total change in the amount of money in my account is $ 9.60
Step-by-step explanation:
Given:
Amount of money deposited each week,
Amount of money withdrawn each week,
∴ Amount of money deposited in 4 weeks,
∴ Amount of money withdrawn in 2 weeks,
Now, amount of money left in the account is the difference of the two amounts.
So, amount left =
Therefore, the total change in the amount of money in my account is given as:
Total change = Initial amount after 4 weeks - Final amount in the account.
Total change = $ 50 - $40.4 = $ 9.6
Step-by-step explanation:
Given that,
a + 2b = 17
Also,
2a + b = 4
By adding the above expressions we get,
a + 2b + 2a + b = 17 + 4
3a + 3b = 21.
3 (a + b) = 21
a + b = 21/3
a + b = 7 Let us take 'b' = 10
a + 10 = 7
a = 7 - 10
a = -3
Now let's check by verifying by putting a = -3 and b = 10 in the previous expressions
a + 2b = 17
-3 + (2 × 10) = 17
-3 + 20 = 17
17 = 17
2a + b = 4
(2 × -3) + 10 = 4
-6 + 10 = 4
4 = 4
Therefore, a = -3 and b = 10 [(-3,10)] is the solution.
Answer:
There are 20 kids total in the class.
Step-by-step explanation:
15/100 × 20 = 3
You can use direct proportion for any percent calculation.
Compare each number with its percent.
3 i
s 15
% of what number? Let the number be x
So, 3 represents 15
% and x represents 100
%
x/
100
= 3/15
Multiply by 100 to isolate x
x =
x = 20
Check: 15/
100 × 20 = 3