SOLUTION:
PQR is a right-angle triangle.
Therefore, to solve this problem, we will use Pythagoras theorem which is only applicable to right-angle triangles.
Pythagoras theorem is as displayed below:
a^2 + b^2 = c^2
Where c = hypotenuse of right-angle triangle
Where a and b = other two sides of right-angle triangle
Now we will simply substitute the values from the problem into Pythagoras theorem in order to obtain the length of QR.
c = PQ = 16cm
a = PR = 8cm
b = QR = ?
a^2 + b^2 = c^2
( 8 )^2 + b^2 = ( 16 )^2
64 + b^2 = 256
b^2 = 256 - 64
b^2 = 192
b = square root of ( 192 )
b = 13.8564...
b = 13.86 ( to 2 decimal places )
FINAL ANSWER:
Therefore, the length of QR is 13.86 centimetres to 2 decimal places.
Hope this helps! :)
Have a lovely day! <3
Answer:
(q)
(r)
(s)
Step-by-step explanation:
Answer: There are 198 different combinations.
Step-by-step explanation:
To solve this type of problem, first, we need to identify the selections.
We have 3 selections.
Baby doll, Jigsaw puzzle, and a stuffed dog.
Now, we need to count the numbers of options for each case:
Baby doll: 11 options.
Jigsaw Puzzle: 6 options.
Stuffed dog: 3 options.
To find the total number of different combinations, we need to multiply all the numbers of options together, this is:
Combinations = 11*6*3 = 198
There are 198 different combinations.
Answer:
$7.50
Step-by-step explanation:
Since there is a 50% chance that the card is odd, the expected payoffs would be $15 * 50%=0.5*15=7.5. Hope this helps!
It is 100 times smaller because 1.95x100=195 !!!
