Answer:
<em>97 square miles</em>
Step-by-step explanation:
Let us divide this figure into rectangles, each of set dimensions;

<em>Solution; 97 square miles</em>
You have to complete the square to get it into vertex form. Do this by setting the function equal to zero and at the same time moving the constant over to the other side of the equals sign so you have this:

. Now we can complete the square on the polynomial by taking half the linear term, squaring it, and adding it to both sides. Our linear term is 4. Half of 4 is 2, and 2 squared is 4, so we add 4 to both sides:

and simplify to get

. In this process we have created a perfect square binomial on the left, which happens to be

. Now move the -6 back over by addition to get

. The vertex is found at (-2, 6), the third choice down.
Answer:
About 0.3 billion dollars
Step-by-step explanation:
5 years = 60 months.
The 150 of the first month will be 150*1.07^60 in 5 years.
The 150 of the second month will be 150*1.07^59 in 5 years.
The 150 of the third month will be 150*1.07^58 in 5 years.
And so forth.
So we sum that up:
( sum_(n=1)^(60) 150×1.07^n)
And multiply with
× 1.07^(5×23)
to account for the increase in value in the following 23 years.
Answer:
4 cups of sugar
Step-by-step explanation:
2 x 2 = 4
Toya will use 4 cups of sugar.
Answer:
<em>x = 30.2 units</em>
Step-by-step explanation:
<u>Trigonometric Ratios</u>
The ratios of the sides of a right triangle are called trigonometric ratios.
Selecting any of the acute angles, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides and the hypotenuse.
The given right triangle has an angle of measure 51° and its adjacent leg has a measure of 19 units. It's required to calculate the hypotenuse of the triangle.
We use the cosine ratio to calculate x:


Solving for x:


x = 30.2 units