Answer:
Step-by-step explanation:
Since both triangles are similar, we know this because they have 2 angles in common, they both have the same third angle.
To find the third angle, we use the angle sum. The sum of angles in a triangle will always equal 180 degrees. We are given a right angle which is 90 degrees and another angle, which is 53 degrees. Knowing this:
90 + 53 + x = 180 (I have chosen to call the third angle x)
when rearranging this we get
180 - 90 - 53 = x
now we solve
x = 37 degrees
Hope this helps,
Cate
Answer:
The correct option is Any rational root of f(x) is a factor of 35 divided by a factor of 66....
Step-by-step explanation:
According to the rational root theorem:
if
and
are non zero then each rational solution x will be:
x= +/- Factors of
/ Factors of 
In the given polynomial we have:
66x4 – 2x3 + 11x2 + 35
= 35
= 66
Therefore,
x= +/- Factors of 35/ Factors of 66.
Thus the correct option is Any rational root of f(x) is a factor of 35 divided by a factor of 66....
Answer:
i) There are 40320 possible orders
ii) There are 336 possible orders for the first 3 positions.
Step-by-step explanation:
Given: The number of finalists = 8
The number of boys = 3
The number of girls = 5
To find the number of sample point the sample space S for the number of possible orders, we need to find factorial of 8!
The number of possible orders = 8!
= 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8
= 40320
ii) From all 8 finalist, we need to choose first 3 position. Here the order is important. So we use permutation.
nPr =
Here n = 8 and r = 3
Plug in n =8 and r = 3 in the above formula, we get
8P3 = 
= 
= 6.7.8
= 336
So there are 336 possible orders for the first 3 positions.
Dunno how to do the linear thing
anyway
9+5=14
14 units=all tents
98=all tents
98=14 units
divide by 14 both sides
7=1 unit
food=9 unit
1 unit=7
times 9
9 unit=63
retail=5 unit
1unit=7
times 5
5 unit=35
a. f+r=98
f/r=9/5 could be the system
b. 63 food tents
c. 35 retail tents