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3 years ago

10:15 and 3:5 are equivalent ratios?

Mathematics

1 answer:

Vikki [24]3 years ago

7 0

No because 3:5 is 60% and 10:15 is 66%

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Find each equation and then graph the line. x 2y=8

daser333 [38]

Y=8/2
y=4!!!!!!!!!!!!!!!!!

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3 years ago

How do i understand functions

mylen [45]

Answer:

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Step-by-step explanation:

image example:

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2 years ago

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How do I solve this?

vampirchik [111]

4 , divide the x by the y to find a constant

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2 years ago

by about how much will f(x,y,z) = In root x^2 +y^2 +z^2 change if the point P(x, y, z) moves from P0(2,2,6) a distance of ds = .

konstantin123 [22]

Answer:

$\frac{1}{44} \approx0.0227\hspace{3}units$

Step-by-step explanation:

In order to find the answer we need to calculate the directional derivative:

$D_uf(x,y,z)=\nabla f\bullet u$

$\nabla f =The\hspace{3}gradient\hspace{3}of\hspace{3}f\\u=Unit\hspace{3}vector$

The gradient of f is:

$\nabla f(x,y,z)=\langle\frac{x}{x^2+y^2+z^2}, \frac{y}{x^2+y^2+z^2},\frac{z}{x^2+y^2+z^2}\rangle$

The unit vector can be found as:

$u=\frac{v}{|v|} =\frac{3i+6j-2k}{\sqrt{3^2+6^2+(-2^2)} } =\langle\frac{3}{7} ,\frac{6}{7}, \frac{-2}{7} \rangle$

The directional derivative at the point is:

$D_uf(2,2,6)=\langle\frac{1}{22}, \frac{1}{22} ,\frac{3}{22} \rangle \bullet \langle \frac{3}{7} ,\frac{6}{7} ,\frac{-2}{7} \rangle =\frac{5}{22} \bullet \langle \frac{3}{7} ,\frac{6}{7} ,\frac{-2}{7} \rangle =\frac{5}{22}$

Finally, the problem tell us that the point moves a distance of 0.1 units. Hence f(x,y,z) will move:

$\frac{5}{22} * 0.1=\frac{1}{44}\approx 0.0227\hspace{3}units$

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2 years ago

Regular triangular pyramid has the slant height k=12 cm and lateral area AL = 198 cm2. Find the length of the base edge.

KATRIN_1 [288]

To find this answer you will use the formula for finding the area of the triangle because that shape is a triangle.

A = 1/2 bh
198 = 1/2 x b x 12
198 = 6b
b = 33 cm

We know the total area and we know the slant height is 12 cm so we substitute these in and solve for h.

The length of the base edge is 33 cm. You should substitute this back in to check.

1/2 x 33 x 12 = 198 square cm.

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3 years ago

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