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earnstyle [38]
2 years ago
14

I'm completely lost .. help would be greatly appreaciated

Mathematics
1 answer:
katrin [286]2 years ago
4 0
First you calculate the area of the triangle:
Area_{triangle} = \frac{base \cdot height}{2} = \frac{2 \cdot 3}{2} =3 square yards.
For the base and the height of the triangle you need to count how many squares it takes on the picture.

For the rectangle you need to calculate the length and the height first.
For each we are going to use the Pythagorean theorem:
Height^2 = 2^2 + 3^2
Height =\sqrt{4+9}=3.6055513 yards

Again count the numbers of squares for the triangle in which the rectangle's height is the hypotenuse.

We do the same for the Length of the rectangle:
Length^2 = 4^2 + 6^2
Height =\sqrt{16+36}=7.2111026 yards

Now we calculate the area of the rectangle:
Area_{rectangle} = Length \cdot Height = 3.6055513 \cdot 7.2111026 = 26 square yards.

The total material area to cover both is:
3 + 26 = 29 square yards



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Answer:

D

Step-by-step explanation:

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3 years ago
The vertical height v, in feet, of a snowboarder jumping off of an overhang can be modeled by the function h(t)=15-10t-16t^2, wh
olga55 [171]
I don't know for sure, but I think there might be an error in the way you copied your function. In all of my dealings with these types of problems, I have learned the formula to be h(t) = 15 + 10t - 16t^2. Notice the plus in front of the "10t". This is due to the fact that if he pushes off of the overhang he would have an upward force of 10 feet per second as soon as his feet left the ground. The only thing pulling him back to Earth is gravity, modeled by the "-16t^2". This is derived from a bit of slightly advanced physics involving the gravitational constant, but let's work under my formula for a second...

Either way, we will wind up using the Quadratic Formula (or possibly factoring if the numbers are easy enough to work with). So let's start. 

h(t)= 15 +10t - 16t^2

In order to use the QF or factoring I will need to make h(t)=0. Simply done by:

0= 15 +10t -16t^2

Looking at the numbers, I'd prefer to use the QF so here it is:

x= \frac{-b + or -  \sqrt{b^{2}-4ac } }{2a}

I know that my answer will need to be positive since you can't have a negative value when dealing with time, so I will eliminate the positive sign from the "+or-" part leaving me with:

x= \frac{-b -\sqrt{b^{2}-4ac } }{2a}

And I know that a= -16, b= 10, and c=15. So all that's left to do is substitute and solve.

x= \frac{-10 -\sqrt{-16^{2}-4*-16*15 } }{2*-16} 

There's a decent amount of math that would be difficult and sloppy for me to do over the computer, but all you need to do is solve the rest of the equation and you would get your answer.

Exact answer: \frac{5-4 \sqrt{15} }{8} or rounded answer: ≈1.31 seconds.

Hope this helps!
NoThisIsPatrick

7 0
3 years ago
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D

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y intercept is b, so in the equation so far it is

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the slope is m, so

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the answer is D.

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Step-by-step explanation:

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Answer:

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