Answer:
height: 36 cm
Step-by-step explanation:
volume of triangle prism = 0.5 * base * altitude * height
using the formula:
0.5 * 8 * 6 * height = 864
24 * height = 864
height = 864/24
height = 36 cm
Answer:
4x2 + 3x + 4
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 4 • 4 = 16
Step-2 : Find two factors of 16 whose sum equals the coefficient of the middle term, which is 3 .
-16+-1=-17
-8+-2=-10
-4+-4=-8
-2+-8=-10
-1+-16=-17
1+16=17
2+8=10
4+4=8
8+2=10
16+1=17
Final result :
4x2 + 3x + 4
Answer:
x = 3
y = 18
Step-by-step explanation:
you replace y with 6x
x + 6x = 21
combine like terms
7x = 21
divide both sides by seven
x = 3
then you plyg 3 into the other equation
y = 6(3)
y= 18
The astronomer has to choose 3 star images out of 8.This is a problem of combinations. This can be expressed as 8C3 i.e. combination of 8 objects taken 3 at a time.
This means, if 8 images are nearby the astronomer will have 56 choices <span>
of the three stars.</span>