Answer:
84
59
Step-by-step explanation:
In other to have the same number of chayes in both rows and columns ;
If the Number of chairs per row = x ; then number of chairs per column = x
Then the total number of chairs needed = x * x = x²
Hence, if there are 5100 chairs ;
Number of chairs needed more ;
Take the square root of 5100 ;the round to the next whole number :
B.) For number of chairs to be removed ;
Take the square root of 5100 and round down to the whole number.
Hence,
A.) = √5100 = 71.414 = 72
72² - 5100 = 84
B.) 5100 = 71.414 = 71
5100 - 71² =
Answer:
Step-by-step explanation:
Area of circle = 56 cm²
πr² = 56
3.14r² = 56
r²=56/3.14
r²= 17.83
r = √17.83
r = 4.22 cm
The diameter of the circle = diagonal of the square
Diagonal of the square = 2 * 4.22 = 8.44 cm
x² + x² = 8.44²
2x² = 71.2336
x² = 71.2336/2
x² = 35.6168
x = 5.967 cm
Answer:
Step-by-step explanation:
sin²β + sin²β×tan²β = tan²β
sin²β( 1 + tan²β ) = tan²β
~~~~~~~~~~~~~~~~
<u><em>sin²β + cos²β = 1 </em></u>
<u><em /></u>
+
=
⇒ tan²β + 1 = sec²β ⇔ 1 + tan²β = sec²β
~~~~~~~~~~~~~~
1 + tan²β =
L.H. = sin²β (
) = tan²β
R.H. = tan²β
For this case we must find the quotient of the following expression:

By definition of power properties we have:

Rewriting the expression we have:

By definition of multiplication of powers of the same base we have to put the same base and add the exponents:

Answer:

Answer:
x = rd/c
Step-by-step explanation:
xc = rd
xc/c = rd/c
x = rd/c