Answer:
(x - 4)(x^2 + 7)
Step-by-step explanation:
x^2 is a factor of the first two terms: x^3 - 4x^2 = x^2(x - 4).
7 is a factor of the last two terms: 7(x - 4).
Note how (x - 4) is a factor of the entire four-term expression given above.
Then: x^3-4x^2+7x-28 = (x - 4)(x^2 + 7)
Answer:
34 cm
Step-by-step explanation:
The actual question is How many inches of ribbon Peter will need to make the "X".
Using the Pythagorean theorem, the length of the diagonal of a square with 12 cm sides is:

Since the "X" requires two diagonals, the length of ribbon required is:

The length required, rounded to the nearest centimeter, is 34 cm.
Answer:
30 = total muffins
Step-by-step explanation:
To determine how many muffins were eaten, we take the total muffins times the fraction that were eaten
eaten muffins = total muffins * fraction
25 = total muffins* 5/6
Multiply each side by 6/5
6/5*25 = total muffins *5/6*6/5
30 = total muffins
The correct answer is B.
Determine and recall first the trigonometric functions:
Sin A = Opposite/Hypotenuse
Cos A = Adjacent/Hypotenuse
Tangent = Opposite/Adjacent
If for example we try to take an angle, for example the Y, then Y is opposite Y. The Hypotenuse will be the longer side which is going to denoted by X and the next side will be Adjacent which will be denoted by Z.
Use this test to answer:
Sin Y = Y/X
where:
Y = opposite
X = hypotenuse
Cos (90 - y) = cos (90 - 50) = cos 40
where Z = 40
we look for cos Z = Y/X
Therefore,
Sin Y = Cos (90 - Y)
Answer:
Step-by-step explanation:
24 x 23 = 552
20 x 23 = 460
4 x 23 = 92
460 + 92 = 552