Tina says that 6:8 is equivalent to 36:64 . what did tina do wrong!
2 answers:
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Answer:
i. RP = 17
ii. RT = 15
iii. RS = 30
Step-by-step explanation:
Given that; QT = 9 and TP = 8.
From the diagram, join R to P. Thus RP = QP (radius of the circle)
RP = QT + TP
= 9 + 8
RP = 17
Applying Pythagoras theorem to triangle TRP;
RT =
=
=
= 15
∴ RT = 15
But, RT = TS = 15.
So that;
RS = 15 + 15
= 30
RS = 30
Therefore; RP = 17, RT = 15 and RS = 30.
Answer:
6hours
Step-by-step explanation:
From the given information:
Suppose it took Karl x hours to retile her bathroom,
Then it will take Della 3 hours longer i.e (3+x) hours
If Della and Karl work together or will take them 2 hours
The objective is to determine how long it will take Delia to retile the bathroom alone?
∴
By cross multiplying, we have:
2(2x+3) = 3x+x²
4x + 6 = 3x + x²
3x + x² - 4x - 6
x² - x - 6 = 0
Using quadratic equation
x² -3x +2x - 6 = 0
x(x - 3) + 2(x - 3) = 0
(x +2) (x - 3) = 0
x + 2 = 0 or x - 3 = 0
x = -2 or x = 3
Since we are concerned about the positive integer,
Then, Karl = x = 3 hours while Della which is (3+x) = 3+3 = 6hours