We can use Pythagorean's Theorem in order to find the remaining side length
a^2+b^2=c^2
Let a be the shadow length
Let b be the height of the flagpole
Let c be the hypotenuse
28^2+b^2=35^2
784+b^2=1225
b^2=1225-784
b^2=441
b=√441
b=21
Therefore the flagpole is 21 meters tall.
Hope this helps!
Answer:
The equations 9x+8y=14100 and x = y+150 are in the simplest form.
Step-by-step explanation:
Given that:
Russian blue kitten costs $150 more than Manx kitten.
Cost of 9 blue kittens and 8 Manx kittens = $14100
Let,
x be the price of one Russian blue kitten.
y be the price of one Manx kitten.
According to given statement;
9x+8y=14100
x = y+150
Hence,
The equations 9x+8y=14100 and x = y+150 are in the simplest form.
9514 1404 393
Answer:
C. 12cm
Step-by-step explanation:
The equation for the perimeter of the rectangle is ...
P = 2(L+W)
34 = 2(n +m)
Solving for m, we get
m = 17 -n . . . . . . . divide by 2, subtract n
__
The Pythagorean theorem gives the relationship between the sides and the hypotenuse
m^2 +n^2 = (n+1)^2
(17 -n)^2 +n^2 = (n +1)^2 . . . . . . substitute for m
289 -34n +n^2 +n^2 = n^2 +2n +1 . . . . eliminate parentheses
n^2 -36n +288 = 0 . . . . . . . put in standard form
(n -12)(n -24) = 0 . . . . . . . . . factor
n = 12 . . . . . . . . . . n=24 is an extraneous solution here
The value of n is 12 cm.
Answer:
Option C.
Step-by-step explanation:
Note: In the given function the power of x should be 2 instead of 4, otherwise all options are incorrect.
Consider the given function is
If 
, then 
is an even function.
If 
, then is an odd function.
Now, substitute x=-x in the given function.
So, the given function not an odd function. It means it is an even function.
To check whether the given function is odd, we have to determine whether 
is equivalent to 
.
Therefore, the correct option is C.
Let's say 1000 dollars was spent on all of these. That would mean 170 dollars and 240 were spent on food and entertainment respectivly. If we want to see how much of the total cost was spent on these things, we would have to add them and divide them by 1000, so:
