Answer:
The least common multiple of 8 and 12 is 24
Explanation:
Find and list the multiples each number until the first common multiple is found.
This is the lowest common multiple .
Multiples of 8
8, 16, <u>24</u>, 32,40
Multiples of 12
12,<u>2</u><u>4</u>, 36,48
Therefore,
LCM of 8 and 12 is 24
Answer:
250 smaller boxes
Step-by-step explanation:
Find the volume of the 2 cuboids.
Formula = Length x width x height
Big cuboid = 50 x 30 x 20 = 30000
Small cuboid = 10 x 3 x 4 = 120
Now divide them.
30000 ÷ 120 = 250 small boxes
A trapezoid is isosceles if and only if
(1) The base angles are congruent
(2) The diagonals are congruent
(3) The opposite angles are supplementary
So the description does not guarantee that a trapezoid is isoceles for "Congruent bases".
Answer:
x = 6.6
Step-by-step explanation:
Data obtained from the question include the following:
Angle X = 15°
Angle Y° = 23°
Side y = 10
Side x =..?
The value of side x can be obtained by using the sine rule as shown below:
x/Sine X = y/Sine Y
x/Sine 15 = 10/Sine 23
Cross multiply
x × Sine 23 = 10 × Sine 15
Divide both side by Sine 23
x = (10 × Sine 15) / Sine 23
x = 6.6
Therefore, the value of x is 6.6.
