The volume of candle holder is 30 inches cubed.
Step-by-step explanation:
Given,
Area of base = A = 15 square inches
Height of candle holder = H = 6 inches
As the holder is in shape of triangular pyramid, therefore,
Volume of candle holder = 
Volume of candle holder = 
Volume of candle holder = 
The volume of candle holder is 30 inches cubed.
Answer:
r < 12.5
Step-by-step explanation:
Given
150 - 5r > 87.5 ( subtract 150 from both sides )
- 5r > - 62.5
Divide both sides by - 5, reversing the symbol as a result of dividing by a negative quantity.
r < 12.5
4) You know slope-intercept form is y=mx+b. So using these two given points, you can find the slope!
(-8,5) (-3,10) [Use the y1-y2 over x1-x2 formula to solve for slope]
10 - 5 5
--------- = ----- = 1
-3-(-8) 5
Hurray! You got a slope of one. Now substitute this back into your original equation:
y=mx+b --> y=1x+b
Next, we find what our "b" is, or what our y-intercept is:
Using one of the previous points given, substitute them into the new equation:
[I used the point (-3, 10) ]
y=1x+b
10=1(-3)+b SUBSTITUTE
10=-3+b MULTIPLY
10=-3+b
+3 +3 ADD
----------
13=b SIMPLIFY
So, now we have our y-intercept. Use this and plug it into the equation:
y=1x+b --> y=1x+13
y=1x+13 is our final answer.
5) So for perpendicular lines, your slope will be the opposite reciprocal of the original slope. (Ex: Slope is 2, but perpendicular slope is -1/2)
We have the equation y= 3x-1, so find the reciprocal slope!
--> y=-1/3x-1
Good! Now we take our given point, (9, -4) and plug it into the new equation:
y=-1/3x-1
-4=-1/3(9)+b SUBSTITUTE and revert "-1" to "b", for we are trying to find the y- -4=-3+b intercept of our perpendicular equation.
+3 +3 ADD
--------
-1=b SIMPLIFY
So, our final answer is y=-1/3x+(-1)
6) I don't know, sorry! :(
11. Multiply 6 by 2. Answer is 6. Because when you multiply 8 by 2 you get 16.
12. Divide 24 by 4. You get 6. Now divide 42 by 6. The answer is 7.
P.S sorry if I'm wrong but I think I'm correct.
Given:X: The blue marbles.
3X: The red marbles.
A box contains
144 marbles.
SOLVING:X + 3X = 144
4X = 144
X =
X = 36
===> The blue marbles.If there are
3 times as many red marbles as there are blue marbles:
3(36) = 108
===> The red marbles. SOLUTION
TESTING:
GOOD LUCK...!!!
