Answer:
2.09<2.1
Step-by-step explanation:
2.09 < 2.1
Take one number and subtract the other.
If you get a positive, then the first number is larger. If you get a negative, then the second number is larger.
I think 2.1 is larger
2.1
-2.09
-------------
Borrow from the 1
2. 0 10
-2. 0 9
---------------
0. 0 1
Since this is positive, 2.1 is larger
Answer:
Option C. cos70°
Step-by-step explanation:
we know that
If two angles are complementary, then the sine of one angle is equal to the cosine of the other angle and the cosine of one angle is equal to the sine of the other angle
Remember that
Tow angles are complementary , if the sum of their angles is equal to 90 degrees
so
If A+B=90°
then
sin(A)=cos(B)
cos(A)=sin(B)
In this problem we have
A=20°
B=90°-20°=70°
therefore
sin(20°)=cos(70°)
cos(20°)=sin(70°)
Answer:
-3
Step-by-step explanation:
i just took the test
Answer: 
Step-by-step explanation:
By the negative exponent rule, you have that:
By the exponents properties, you know that:
Therefore, you can rewrite the left side of the equation has following:
Descompose 32 and 8 into its prime factors:
Rewrite:
Then:
As the base are equal, then:
Solve for x:
Answer:
12m²
Step-by-step explanation:
For a rectangle, with length L and width W,
the perimeter is given as
Perimeter,
P = (2 x Length) + (2 x Width)
P = 2L + 2W
It is given that the perimeter is 48, hence
48 = 2L + 2W (divide both sides by 2)
24 = L + W
or
L = 24 - W -----> eq 1
Also realize that the Area of a Rectangle is given by
A = L x W -----> eq 2
Substituting eq 1 into eq 2,
A = (24 - W) x W
A = -W² + 24W
Recall that for a quadratic equation y = ax² + bx + c, the maxima or minima is given by y(max) = -b/2a
In this case, b = 24 and a = -1
-b/2a = -24/[ 2(-1) ] = 12
Hence for A to be maximum A(max) = 12m² (Answer)
