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PolarNik [594]
2 years ago
8

The ratio of the sides of two similar octagons is 2:5. What is the ratio of the perimeters of these octagons?

Mathematics
1 answer:
Tom [10]2 years ago
4 0
So we see the ratio of the sides of two similar octagons is 2:5 so let's say the first octagon has a side of 2 and the other has a side of 5. 2*8 = 16 and 5*8 = 40. 16:40 = 4:10 = and is again 2:5. So the answer is 2:5.
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Suppose you are climbing a hill whose shape is given by the equation z = 1300 − 0.005x2 − 0.01y2, where x, y, and z are measured
Lisa [10]

Answer:

a) "ascend"

Step-by-step explanation:

a)

The equation is  z = 1300-0.005x^2-0.01y^2

This question is asking for the value of the directional derivative in the direction of -j [since south that's y negative]

So, this is the negative of partial derivative of y. Thus we have:

z = 1300-0.005x^2-0.01y^2\\z_y=-0.02y

Now we are at (100,120,1106), we take y value of 120 and put it in the partial:

z_y=-0.02y\\z_y=-0.02(120)\\z_y=-2.4

We take the negative, that is -(-2.4) = 2.4

Since this is positive, we can say the hill is sloping upward at this point, so you will start to ascend.

4 0
3 years ago
What is the vertex form of the equation y=x^2+12x-9
luda_lava [24]
Find the vertex form
y = (x + 6)^2 - 45
8 0
3 years ago
Read 2 more answers
Find the value of x. Round to the nearest degree.
Fantom [35]

Answer:

x = 51

Step-by-step explanation:

Here, we want to find the value of x

To do this, we are going to use the appropriate trigonometric identity

We have the side facing the right angle ( hypotenuse) and the side facing the angle given (opposite)

The trigonometric identity that links both is the sine and it is the ratio of the opposite to the hypotenuse

Thus, we have it that;

sine x = 7/9

x = arisine (7/9)

x = 51

4 0
2 years ago
Find the area of the polygon with E(-3,2), F(1,5), G(5,-1), H(1,-5).
kykrilka [37]

Answer:

40

Step-by-step explanation:

-3   2

               -15  -   2         =      -17

1     5

                 -1    -  25      =     -26

5<em> </em>   -1

                -25    -   (-1)   =     - 24

1   <em> -5</em>

                 2      -   <em>15</em>    =     -13

<em>-3</em>   2

area = |-17 - 26 - 24 - 13|/2 = |-80|/2 = 80/2 = 40

Answer: 40

6 0
3 years ago
What is the area? PLEASE HELP
mylen [45]

Answer:

14mm×20mm=280mm²

14mm×12mm/2=84mm²

3.14×10²mm=314mm²

280m²+84mm²+314mm²=678mm²

7 0
3 years ago
Read 2 more answers
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