Answer:
x=10
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
7x-3 + 12x-7 = 180
Combine like terms
19x-10 = 180
Add 10 to each side
19x-10+10 = 180+10
19x = 190
Divide by 19
19x/19 = 190/19
x= 10
Answer:
30 / 34 and 15/17 simplified.
Step-by-step explanation:
cos = adjacent / hypotenuse
adjacent is the (base) which is 30 and hypotenuse is the longest side which is 34
Answer:
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Step-by-step explanation:
Answer:
128√5/3 mm³
Step-by-step explanation:
Since we are not told what to find, we can as well look for the volume of the pyramid
Volume of a square pyramid: V = (1/3)a²h
a is the side length of the square
h is the height of the pyramid
Given
a = 8mm
l² = (a/2)² + h²
l² = (a/2)² + h²
6² = (8/2)² + h²
h² = 6² - 4²
h² = 36 - 16
h² = 20
h = √20
Volume of a square pyramid = (1/3)*8²*√20
Volume of a square pyramid = 1/3 * 64 * 2√5
Volume of a square pyramid = 128√5/3 mm³