Answer:
9.22 meters
Step-by-step explanation:
The formula for a pyramid is (base * height) / 3. Therefore, because it's a square, the base is 16, and thus the height divided by 3 = 3. 3 * 3 = 9, so the height is 9. Now we have a right triangle.
If the base edge = 4, half of the base edge is 2. Applying the Pythagorean Theorem, 2^2 + 9^2 = x^2 so then 4 + 81 = x^2. The square root of 85 is approximately 9.22 meters.
The indicated term is -27
Further explanation:
The given sequence is an arithmetic sequence as we can see that the common difference is equal for consecutive terms.
Here,
General form of arithmetic sequence is:
Putting the values of a_1 and d
The indicated term is: -27
Keywords: Arithmetic Sequence, Common Difference
Learn more about arithmetic sequence at:
#LearnwithBrainly
Answer:
yes, parallelogram ABCD is a square.
Step-by-step explanation:
Given information: ABCD is parallelogram with vertices A(0,4), B(2, 2), C(4,4), and D(2,6).
We need to check whether this parallelogram is a square or not.
The opposite side of a parallelogram are parallel and congruent. If the interior angles a parallelogram are right angles then the parallelogram is square.
Formula for slope:
Now, find the slopes of each side.
The product of slopes of two perpendicular line is -1.
The product of slopes of any two consecutive sides is -1. It means all interior angles are right angle.
Therefore, the parallelogram ABCD is a square.
Answer:
(-2,3)
Step-by-step explanation:
Given data
the system of linear equation is presented as
3x+5y=9-----1
2x+3y=5-----2
solve simultaneously
3x+5y=9-----1 X 2
2x+3y=5-----2 X3
subtracting 2 from 1
6x+10y=18
-6x+9y=15
0x+y=3
y= 3
put y= 3 in 1
3x+5(3)=9-----1
3x+15=9
3x= 9-15
3x= -6
x= -6/3
x= -2
Hence the ordered pair is (-2,3)