Math nation section 2

Mathematics

1 answer:

MrRa [10]3 years ago

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A lady walks into a cafe. She order four items. a coffe for 3.28, a bagel for 1.27, a juice for 0.56 and a muffin for 2.33. How

malfutka [58]

She spent $7.44 because 3.28 + 1.27 + 0.56 + 2.33 = 7.44

7 0

2 years ago

What is the classification for this polynomial?

Mariana [72]

Answer:

Trinomial

Step-by-step explanation:

This is because there are three terms involved in the equation.

One of them is -7ab^4. Another is 4c^3. The third one is 25.

4 0

3 years ago

The angle of elevation to the top of a skyscraper is measured to be 2 degrees from a point on the ground 1 mile from the buildin

Alex

Answer:

0.034921 miles or 1843774 feet tall

Step-by-step explanation:

Using trigonometric functions we know that $x=rcos(\theta)$ and $y=rsin(\theta)$ where $\theta$ =angle and r is the hypotenuse of the triangle.

First we will calculate the hypotenuse using the x equation, since we know x = 1 mile (distance from the building on the ground) we have:

$x=rcos(\theta)\\\\1=rcos(2)\\\\r=\frac{1}{cos(2)} \approx. 1.0061mi$

Now we will calculate the height of the building using the y equation and so:

$y=rsin(\theta)\\\\y=\frac{1}{cos(2)} \times sin(2) = \frac{sin(2)}{cos(2)}=tan(2)=0.034921mi$

The building is 0.034921 miles or approximately 184.3774 feet tall.

4 0

3 years ago

write a linear equation that intersects y=x^2 at two points. Then write a second linear equation that intersects y=x^2 at just o

Liula [17]

We know that $y = x^2$ is a parabola, concave up, with vertex in the origin $(0,0)$

So, we may use three horizontal lines for our purpose: any horizontal line above the x axis will intersect the parabola twice. The x axis itself intersects the parabola once on the vertex, while any horizontal line below the x axis won't intercept the parabola.

Here's the examples:

The horizontal line $y = 4$ intercepts the parabola twice: the system $y = x^2,\ y = 4$ is solved by $x^2=4 \implies x = \pm 2$
The horizontal line $y=0$ intercepts the parabola only once: the system is $y=x^2,\ y=0$ which yields $x^2=0\implies x=0$ which is a repeated solution
The horizontal line $y=-5$ intercepts the parabola only once: the system is $y=x^2,\ y=-5$ which yields $x^2=-5$ which is impossible, because a squared number can't be negative.