Answer:
11.55
Step-by-step explanation:
An equilateral triangle is one which all it sides are equal.
10cm altitude means the height is 10cm.
Using Pythagoras theorem,
x² = 10² + (x/2)²
Assume that the side of the triangle is xcm
x² - x²/4 = 100
3x²/4 = 100
x = √(400/3)
x = 11.55cm
The situation describes a geometric sequence with first term as 1, and the common ratio of 8.
1st term = 1
2nd term = 1 x 8 = 8
3rd term = 8 x 8 = 64
4th term = 64 x 8 = 512
5th term = 512 x 8 = 4,096
6th term = 4,096 x 8 = 32,768
Answer:
7.317
Step-by-step explanation:
Answer:
x = 14
Step-by-step explanation:
The 2 given angles are vertical angles abd are congruent, so
4x - 22 = x + 20 ( subtract x from both sides )
3x - 22 = 20 ( add 22 to both sides )
3x = 42 ( divide both sides by 3 )
x = 14
Then
x + 20 = 14 + 20 = 34°
4x - 22 = 4(14) - 22 = 56 - 22 = 34°
Answer:
Step-by-step explanation:
To solve for the leg of the missing right triangle, one must use the Pythagorean theorem. The Pythagorean theorem states the following,
Where (a) and (b) are the sides adjacent to or next to the right angle. (c) is the side opposite the right angle. Substitute in the given values and solve for the unknown,
Substitute,
Simplify,
Inverse operations,
