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2 years ago

I don't understand how to do this please explain how to. Step by step, I keep getting it wrong and I am confused.

Mathematics

1 answer:

vagabundo [1.1K]2 years ago

6 0

Answer: The surface area is 21,274.4 square feet.

Step-by-step explanation:

The total surface area is 4 (0.5bh). Although you would multiply it by 4 because there 4 triangular faces, b is the base & h is the height. It’d change to A = 4(0.5) (116 ft) (91.7 ft) so your answer ends up as A = 21274.4 square feet.

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sophina brought 3 yards of trim to put around a rectangular scarf she wants the width of the scarf to be a whole number that is

alukav5142 [94]

If u add 3+6+12 u will get 21 inches

6 0

3 years ago

before tomorrow can I have a quick answer and maybe an explanation on how to answer these kinds of questions overall? need some

MA_775_DIABLO [31]

Answer:

a) maximum; the parabola opens downward

b) positive; it must lie above the x-axis

c) x = 1.5

Step-by-step explanation:

The x-intercepts of a function are the points where the graph of the function crosses the x-axis. The y-values there are zero.

The "differences" of a function are related to the average slope between adjacent points. Second differences are related to the rate of change of the slope of the function. When <em>second differences are negative</em>, as here, the slope of the quadratic function is decreasing, becoming more negative. We say the <em>curvature</em> of the function is <em>negatve</em>, and that it <em>opens downward</em>.

If the graph of the parabola opens downward, and it crosses the x-axis, it must have a <em>maximum</em> that is a <em>positive value of y</em>.

The graph of a parabola is symmetrical about its vertex. That means points on the same horizontal line are the same distance from the line of symmetry, which must go through the vertex. The x-coordinate of the vertex will be the x-coordinate of the midpoint between the two x-intercepts:

x = (-2 +5)/2 = 3/2

The x-coordinate of the vertex is x = 1.5.

______

<em>Additional comment</em>

The attachment shows a table with three evenly-spaced points on the curve. The calculations show first differences (d1) and second differences (d2). You can see that the sign of the second diffference is negative, in agreement with the given conditions.

3 0

2 years ago

If f(x) = x/2 - 3 an g(x) = 3x^2 + x-6, find (f+g)(x)

PilotLPTM [1.2K]

Answer:

(f + g)(x) = 3x^2 + 3x/2 - 9

Step-by-step explanation:

In order to find a composite function through addition, you simply add the two equations together.

f(x) + g(x)

x/2 - 3 + 3x^2 + x - 6

3x^2 + 3x/2 - 9

4 0

3 years ago

The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A

Nezavi [6.7K]

Class A: 6v + 8b = 202

Class B: 12v + 16b = 284

Solve using the elimination method:
since 6v and 12v are perfect for elimination, multiply the class A equation by 2 so that the van variable cancels out:

12v + 16b = 404
12v + 10b = 284

Then subtract the bottom equation from the top:

6b = 120
b = 20

Now you know that each bus can hold 20 students.
Just plug this into one of the original equations to solve for vans:

6v + 8(20) = 202
6v + 160 = 202
6v = 42
v=7

So then you know that each van can hold 7 students.

Check:
12 (7) + 10 (20) = 284

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3 0

3 years ago

Sum of all natural numbers from100to300 which are divisible by 4and 5 is

My name is Ann [436]

If $x$ is a number that is both divisible by 4 and 5, then

$\begin{cases}x\equiv0\pmod4\\x\equiv0\pmod5\end{cases}$

4 and 5 are coprime, so we can use the Chinese remainder theorem to solve this system and find that $x=20n$ is a solution to the system, where $n$ is any integer. Simply put, any multiple of 20 fits the bill.

Now, there are 11 numbers between 100 and 300 that are divisible by 20 (100, 120, 140, and so on). We have $20n=100$ when $n=5$ , so the sum we want to compute is

$\displaystyle\sum_{n=5}^{15}20n=\boxed{2200}$

4 0

3 years ago