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Crazy boy [7]
2 years ago
5

Which is the equation that can be used to find the volume of any prism? (Geometry)

Mathematics
1 answer:
SpyIntel [72]2 years ago
5 0

Answer:

V=Bh

Step-by-step explanation:

thare are muliple ways to use this equation like V=Bh

V=1/2Bh or V=1/3Bh

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Where does the pythagorean identity sin^2 + cos^2=1 come from? How does it relate to right triangles?
Arada [10]
Consider a<span> right triangle with </span><span>hypotenuse of 1.
sin x means to divide the side in front of the angle by </span>hypotenuse<span>
cos x means to divide the side beside  the angle by hypotenuse
we know that a^2+b^2=c^2 now divide two sides by c^2
\frac{ a^{2} }{ c^{2} }+  \frac{ b^{2} }{ c^{2} }=1
c is 1 also a/c means sinx and b/c is cos x so
sin^2(x)+cos^2(x)=1

</span>



8 0
3 years ago
Find the distance from the point (1,4) to the line y = 1/3x - 3
Troyanec [42]

Answer:

Step-by-step explanation:

If I'm not mistaken, and I very well could be, this is a calculus problem(?). In order to find the distance without calculus you'd need a point on the given line to use to find the distance in the distance formula. But you don't have a point on the given line, so we can find the shortest distance between the point (1, 4) and the given line using the derivative of the polynomial formed when using the distance formula.

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} and we have the x and y for x2 (or x1...it doesn't matter which you choose to fill in):

d=\sqrt{(1-x)^2+(4-y)^2}

but what we find is that we have too many unknowns here, namely, the distance, the x coordinate, and the y coordinate. So we can replace the y coordinate with what y is equal to in terms of the linear equation:

d=\sqrt{(1-x)^2+(4-\frac{1}{3}x-3)^2 } and simplify:

d=\sqrt{(1-x)^2+(7-\frac{1}{3}x)^2 }

. No we'll expand each binomial by squaring:

d=\sqrt{(1-2x+x^2)+(49-\frac{14}{3}x+\frac{1}{9}x^2)  }

.  Combining like terms gives us

d=\sqrt{\frac{10}{9}x^2-\frac{20}{3}x+50  }

The distance between the point (1, 4) and the given line will be at a minimum when the polynomial above is at a minimum. We find the value of x for which the polynomial is at a minimum by finding its derivative, setting the derivative equal to 0, and then solving for x. The derivative of the polynomial is

\frac{20}{9}x-\frac{20}{3}

Setting equal to 0 and getting rid of the denominators gives us

20x - 60 = 0

Solving for x gives us

20x = 60 and x = 3.

That's the value of x that gives us the shortest distance between (1, 4) and the line y = 1/3x - 3. Sub into the distance formula that x value to find the distance:

d=\sqrt{(\frac{10}{9})(3)^2-(\frac{20}{3})(3)+50   }

which simplifies down, finally, to

x ≈ 6.325 units

8 0
2 years ago
Evaluate 3 divided by 3 plus 3
Kaylis [27]

Answer: 4

Step-by-step explanation:

3/3 + 3

3/3 = 1

1 + 3 = 4

3 0
3 years ago
Change x^2-2x-3 to intercept form
Stella [2.4K]
The answer u have is correct how it is 
7 0
3 years ago
Solve the absolute value equation. If no solution write NO SOLUTION.<br> -{2x + 3] + 8<br> 12
Natasha2012 [34]

Answer:

If problem is "-|2x+3|+8=12"

then there is (<em>no solution.)</em>

Step-by-step explanation:

Let's solve your equation step-by-step.

−|2x+3|+8=12

Step 1: Add -8 to both sides.

−|2x+3|+8+−8=12+−8

−|2x+3|=4

Step 2: Divide both sides by -1.

−|2x+3|=4

   -1       -1

|2x+3|=−4

Step 3: Solve Absolute Value.

|2x+3|=−4

No solutions Because absolute value is less than 0.

4 0
3 years ago
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