Answer:
8 positive integers.
Step-by-step explanation:
One value of n would be 15 because 225 = 15^2.
Other values are 225 * n where 15n <= 1000 and n is a perfect square.
So n = 4 gives us 225* 4 = 900 which is a perfect square and 15*4 = 60.
n = 9 gives us 225 * 9 which is a perfect square and 15*9 = 135.
n = 16 gives us 225*16 and 15*16 = 240 , so OK.
n = 25 gives a perfect square and and 15*25 = 375 - so OK.
n = 36 gives a perfect square and 15*36 = 540 - so OK.
n = 49 gives a perfect square and 15*49 = 735 - so OK.
n = 64 gives a perfect square and 15*64 = 960 - so ok.
n = 81 gives a perfect square and 15 * 81 = 1215 so NOT ok.
Answer:
Step-by-step explanation:
x=2119
The square has a 44-inch diagonal.
The pythagorean equation must be used to obtain the hand.
Diagonal (d) ^ 2 = side^2 + side ^ 2
Diagonal (d) ^ 2 = 2side (s)^2
d^2 = 2s^2
44^2 = 2s^2
1936 = 2s^2
2s^2 = 1936
s^2 = 968
s = 31.11 inches
The length of the side is around 31 inches
Perimeter = 4*s
Perimeter = 4 * 31
Perimeter = 124 inches
As a result, you will need a total of 124 inches to frame the rectangle.
Hope this helps you!!
Answer:
a) See figure attached
b) 
c) 
So then the heigth for the building is approximately 30 ft
Step-by-step explanation:
Part a
We can see the figure attached is a illustration for the problem on this case.
Part b
For this case we can use the sin law to find the value of r first like this:
Then we can use the same law in order to find the valueof x liek this:
And that represent the distance between Sara and Paul.
Part c
For this cas we are interested on the height h on the figure attached. We can use the sine indentity in order to find it.
And if we solve for h we got:
So then the heigth for the building is approximately 30 ft
Angles UST and TSU are equivalent.
The answer is TSU
