Answer:
16 : 36 : 15
Step-by-step explanation:
2/3 : 3/2 : 5/8
multiply each term by the lowest common denominator: 24
16 : 36 : 15
Answer:
x = 15
Step-by-step explanation:
8x + 9 and 51 are same- side interior angles and sum to 180° , then
8x + 9 + 51 = 180
8x + 60 = 180 ( subtract 60 from both sides )
8x = 120 ( divide both sides by 8 )
x = 15
Remember, all the interior angles of a triangle equals 180.
So in triangle ABC, it already gives us two out of the three angles.
First, we add 52 and 36 and that gives us 88.
Now we subtract 88 from 180.
180 - 88 = 92
So that means that ∠ABC is 92°
Now we have to look at triangle DEF.
The equation says that triangle DEF is similar to triangle ABC.
Looking at the picture, triangle DEF is smaller and is flipped upside down.
So that means that ∠ABC ≈ ∠DEF
In similar triangles, the measurements of angles does NOT change. Just the side length.
So since ∠ABC = 92° that means that ∠DEF = 92°
Answer:
The region represented by the equation is a full sphere of radius √3 centered in the origin of coordinates.
Step-by-step explanation:
<em>In a plane xy, the equation that represents a circle with center in the origin, of radius r is</em>
![x^2+y^2=r^2](https://tex.z-dn.net/?f=x%5E2%2By%5E2%3Dr%5E2)
<em>in R³, or a space xyz, we can represent a sphere with its center in the origin, and of radius r, with the equation</em>
![x^2+y^2+z^2=r^2](https://tex.z-dn.net/?f=x%5E2%2By%5E2%2Bz%5E2%3Dr%5E2)
So, in this problem we have that
![3=r^2](https://tex.z-dn.net/?f=3%3Dr%5E2)
which means that the sphere has a radius of √3.
<u>Finally, our equation is an inequality</u>, and the sphere is equal to, and less than, the calculated radius.
Therefore, the sphere is "full" from the surface to its center.
Answer:
50
Step-by-step explanation: