1. You have that<span> 1/2 gallon of water fills 2/3 of the bin.
2. Therefore, you must use proportions.
3. Let's call "x" to </span><span>the amount of water that will fill the entire bin. Then, you have:
</span><span>
(1/2)/(2/3)=(x/3/3)
</span><span> 1/2)/(2/3)=(x/1)
</span><span>
4. Now, you must clear "x", as below:
(</span><span>1x3/2x2)=(x/1)
3/4=x
x=3/4
</span> The <span>amount of water that will fill the entire bin</span><span> is 3/4 gallons.
</span>
Answer:
The length of the hypotenuse ≈ 39.7 cm
Explanation:
Since the given triangle is a right-angled triangle, this means that we can apply the Pythagorean theorem.
The equation for Pythagorean calculation is:
(hypotenuse)² = (first leg)² + (second leg)²
In the given, we have:
first leg = 30 cm
second leg = 26 cm
Substitute with the givens in the above equation to get the hypotenuse as follows:
(hypotenuse)² = (30)² + (26)²
(hypotenuse)² = 1576
This means that:
either hypotenuse = √1576 = 39.69 ≈ 39.7 cm ..........> accepted
or hypotenuse = -√1576 = -39.69 ......> rejected as length can't be negative
Hope this helps :)
To find scale factor you first must find two corresponding sides. then divide one by the other. note that if you divide the smaller side by the larger you will get a number less that one and if you divide the larger side by the smaller side you will get a number greater than one.
Answer:
f(x) = 4x³+16x²+4x-24
Step-by-step explanation:
Factors are (x+3)(x+2)(x-1)
(x+3)(x²+2x-x-2)
(x+3)(x²+x-2)
x³+x²-2x+3x²+3x-6
x³+4x²+x-6
This could have been the function but the intetcept is 6 here.
So we'll take a miltiple of this one such that the intercept becomes-24
-24/-6 = 4
That multiple is 4
f(x) = 4(x³+4x²+x-6)
f(x) = 4x³+16x²+4x-24
Answer: (2, 3)
Step-by-step explanation: This graph depicts a parabola. The vertex of a parabola is the point at the intersection of the parabola, and it is the line of symmetry. In other words, it is the point where the parabola crosses its axis of symmetry. Therefore, the ordered pair of (2, 3) represents the vertex of this graph.
