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erastovalidia [21]
3 years ago
7

What shapes r these? I got the last one

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
6 0

Answer:

6 sides = hexagon

5 sides = pentagon

10 sides = decagon

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Find the scale factor​
kakasveta [241]

Answer:

Step-by-step explanation:

1=12=+1

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3 years ago
You get 17 out of 22 correct on a math test what is your percent of correct answers
Zinaida [17]

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77%

Step-by-step explanation:

divide 17 by 22

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The length of the hypotenuse of a 30-60 -90 triangle is 14 units. what is the length of the short leg
kifflom [539]

Recall that the short leg is the side opposite the 30 degrees angle. And the ratio of the short leg to the hypotenuse is 1:2.

Let the length of the short leg be x, then,

\cfrac{x}{14}=\cfrac{1}{2}\\ \\\Rightarrow2x=14\\ \\\Rightarrow x=\cfrac{14}{2}=7

6 0
4 years ago
Consider the planes 4x+3y+4z=1 and 4x+4z=0. (A) Find the unique point P on the y−axis which is on both planes. ( 0 equation edit
Nana76 [90]

Answer:

Step-by-step explanation:

A) From the order of the exercise we already know that the intersection points lies on the Y-axis, so its coordinates are P(0;y;0). In order to find it, we only need to substitute the equation 4x+4z=0 into the equation 4x+3y+4z=1. Then,

1=4x+3y+4z = 3y + (4x+4z)= 3y+0.

From the expression above it is easy to obtain that y=1/3, and the intersection point is P(0;1/3;0).

B) To obtain the parallel vector to both planes we use the cross product of the normal vector of the planes.

\left[\begin{array}{ccc}i&j&k\\4&3&4\\4&0&4\end{array}\right] = 12i-0j+12k

As we want a unit vector, we must calculate the modulus of u:

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Thus, the wanted vector is \frac{u}{12\sqrt{2}}. Therefore,

u = \frac{1}{\sqrt{2}}i-\frac{1}{\sqrt{2}}k = \frac{\sqrt{2}}{2}i-\frac{\sqrt{2}}{2}k.

C) In order to obtain the vector equation of the intersection line of both planes, we just need to put together the above results.

r = \frac{1}{3}j +\lambda \left( \frac{\sqrt{2}}{2}i- \frac{\sqrt{2}}{2}k \right)

where \lambda is a real number.

8 0
4 years ago
Fill in the blank to solve the equation below <br><br> 12 + 24 = 2(6 + _)
Dimas [21]

Answer:

12 + 24 = 2(6 + 12)

Step-by-step explanation:

hope this helpss :D

much appreciated if this were marked brainliest <3

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