Answer:
4.42 ounces.
Step-by-step explanation:
We have been given that a 1/2 cup serving of 1% cottage cheese is equivalent to 125 grams. 1 ounce of cottage cheese is equivalent to 28.35 grams. We are asked to find the ounces in 1/2 cup serving.
We will use proportions to solve our given problem.
Upon substituting our given values, we will get:
Upon rounding to nearest hundredth, we will get:
Therefore, 1/2 cup serving contains 4.42 ounces.
The correct question is
The hypotenuse and one of the legs of a right triangle form an angle that has a cosine of √<span>2/2 .
What is the measure of the angle?
Let
</span>∅--------> the angle
cos ∅=√2/2<span>
cos </span>∅=[distance of one of the leg/hypotenuse]
[distance of one of the leg/hypotenuse]=√2/2
<span>I could say that
</span>distance of one of the leg=√2
and
hypotenuse=2
so
<span>applying the Pythagorean theorem
</span>c=hypotenuse=2
a=√2
b=?
c²=a²+b²-------> b²=c²-a²------> b²=2²-(√2)²-----> b²=2-----> b=√2
therefore
if a=b
then
the angle ∅=45°
the answer is the option
<span>b.45 degrees</span>
Answer:
C. m ≥ 9
Step-by-step explanation:
7m -2 ≥ 61
7m ≥ 61+2
7m ≥ 63
m ≥ 63/7
m ≥ 9
Answer: x - 5/x + 1
Step-by-step explanation:
This algebraic fraction
The task to be performed here is factorisation and simplification. Now going by the question,
x² + 4x - 45/x² + 10x + 9, the factorisation of
x² + 4x - 45 = x² + 9x - 5x - 45
= x(x + 9 ) - 5(x + 9 )
= ( x + 9 )(x - 5 ), don't forget this is the algebraic fraction's Numerator
The second part
x² + 10x + 9 = x² + x + 9x + 9
= x(x + 1) + 9( x + 1 )
= ( x + 9 )( x + 1 ), this is the algebraic denominator.
Now place the second expression which is the denominator under the first expression which is the numerator.
( x + 9 )( x - 5 )/( x + 9 )( x + 1 ).
You can see that, ( x + 9 )/( x + 9 ) divide each other , therefore therr then cancelled and left with
x - 5/x + 1
Answer:
False
Step-by-step explanation:
Here is a counter example:
● f(x) = x^2
● g(x) = 3x
● (f○g)(x) = (3x)^2 = 9x^2 (1)
● (g○f)(x) = 3(x^2) = 3x^2 (2)
We can see that (1) and (2) aren't equal to each others.
