An equilateral triangle has an altitude of 21 inches. What is the side
1 answer:
Answer:
7
Step-by-step explanation:
the altitude creates two congruent 30-60-90° triangles
the ratio of the sides in a 30-60-90°, respectively, are 1 : : 2
therefore we can set up a proportion to find the side length:
let 'x' = side length of equilateral Δ
/ 1 = 21 / x
cross-multiply:
x = 21
x = 21 /
rationalize the denominator by multiplying numerator and denominator by
21 /
·
= 21
/ 3 or 7
You might be interested in
Answer:
It will take 58 seconds
Step-by-step explanation:
If you have 1 kg of water in the jar, half of it will be 0.5 kg.
To vaporize half of the water (0.500 kg) the energy supply needed is
If the stove is supplying 20 kJ/s, the time its needed is
It will last at least 58 seconds to vaporize half of the water.
Answer:
Center: ( -1 , 2 )
Radius: 6
Step-by-step explanation:
The equation for a circle is given as follow:
Where,
the Center is: ( h , k ) (note that the signs of the number are different)
and the radius is: r
So if we compare the original circle equation to the equation in the question we can see that:
the Center is: (-1,2)
and the radius is: = 6
2. To draw the graph find points that lay on the circle, it's better to take the values of x and y from the Center:
first sub y=2 in the equation to find the values for x:
AND
AND
- The points are A(5,2) and B(-7,2)
second sub x= -1 in the equation to find the values for y:
AND
AND
- The points are D(-1,8) and E(-1,-4)
After finding the points write them in the graph and match them together to get the like the circle in the picture below:
