Full Answer.
If the triangle is an equilateral triangle, then all three angles are exactly 60 degrees each. A right-angled triangle has one angle of 90 degrees, which is the right angle, with two more angles that total 90 degrees when added together.
Answer:
7.8 in
Step-by-step explanation:
Given:-
- The dimension of rectangular prism:
(3 x 4 x 6) inches
Find:-
What is the length of the diagonal from the point R to point S, to the nearest tenth of an inch?
Solution:-
- We will set up an origin with coordinates ( 0 , 0 , 0 ) at point R. Then the coordinates of point S would be ( 3 , 4 , 6 ).
- Then we will use the distance between two points formula in cartesian coordinate system:
Distance = 
Where the coordinates of two points ( x1 , y1 , z1 ) & ( x2 , y2 , z2 ).
- Using R( 0 , 0 , 0 ) & S( 3 , 4 , 6 ), the distance |RS| would be:
- The distance |RS| to nearest 10th of an inch is = 7.8 in
I believe it’s the last answer the fourth one
Answer:
$818,3
Step-by-step explanation:
16.7% in decimal is 0.167
= 0.167 x $4900
= $818,3
-2<em>x</em> + 6<em>y</em> = -38
3<em>x</em> - 4<em>y</em> = 32
To solve by elimination, multiply the top equation by 3 and the bottom equation by 2.
3(-2<em>x</em> + 6<em>y</em> = -38) --> -6<em>x</em> + 18<em>y</em> = -114
2(3<em>x</em> - 4<em>y</em> = 32) --> 6<em>x</em> - 8<em>y</em> = 64
Add the equations.
-6<em>x </em>+ 18<em>y</em> = -114
6<em>x</em> - 8<em>y</em> = 64
+_____________
0 + 10<em>y</em> = -50
10<em>y</em> = -50
<em>y</em> = -5
Substitute -5 for y into one of the original equations to find x.
3<em>x</em> - 4<em>y</em> = 32
3<em>x</em> - 4(-5) = 32
3<em>x</em> + 20 = 32
3<em>x</em> = 12
<em>x</em> = 4
Check work by plugging the <em>x</em>- and <em>y</em>-values into both of the original equations.
-2<em>x</em> + 6<em>y</em> = -38
-2(4) + 6(-5) = -38
-8 - 30 = 38
38 = 38
3<em>x</em> - 4<em>y</em> = 32
3(4) - 4(-5) = 32
12 + 20 = 32
32 = 32
Answer:
<em>x</em> = 4 and <em>y</em> = -5; (4, -5).
