A wooden peg game in the shape of a triangular prism is 2 inches tall. The triangle has a base of 12 inches and a height of 9 inches. Find the volume of the game.
Solution 1
Volume=(base area)×height
base area=1/2×base×height
=1/2×12×9
=54 in²
Therefore the volume will be:
Volume=54×2=108 in³
📚 Related Questions
2:3= 2/3= 0.6666666= 0.67 rounded
3:7= 3/7= 0.42857= 0.43 rounded
3:6= 3/6= 1/2= 0.5
3:8= 3/8= 0.375
2:5= 2/5= 0.4
3:7= 3/7= 0.42857= 0.43 rounded
2:4= 2/4= 1/2= 0.5
Hope this helps! :)
The reason this has to be is because of the GCF. Since 3 is part of the GCF, and the other monomial has a coefficient of 3, this means the missing monomial must be divisible by 3 as well.
Since x² is part of the GCF, the missing monomial must contain x². However, if it were to contain x³ or anything larger, the GCF would have x with a higher exponent.
The solution region of the inequalities y > 2x - 3 and y < 2x + 4 would be the region between the parallel lines y = 2x - 3 and y = 2x + 4.
What is Linear Inequalities?.
Linear Inequalities are the statements in mathematics where the left and right hand side are separated using inequality symbols like <, >, ≤ and ≥.
We have the system of inequalities given here:
y > 2x - 3 and
y < 2x + 4
To solve this first take the inequalities as equations y = 2x - 3 and y = 2x + 4.
Take y = 2x - 3
When x = 0, then y = -3
When x = 1, then y = -1
When y = 0, then x = 1.5
We get three points here (0, -3), (1, -1) and (1.5, 0).
Draw a line passing through these points.
Substitute (x, y) as (0, 0), then the inequality y > 2x - 3 become 0 > -3, which is true. Therefore solution region is the region containing the origin.
Similarly, take y = 2x + 4.
When x = 0, then y = 4
When x = 1, then y = 6
When y = 0, then x = -2
We get three points here, (0, 4), (1, 6) and (-2, 0).
Substitute (x, y) as (0, 0), then the inequality y < 2x + 4 become 0 < 4, which is true. Therefore solution region is the region containing the origin.
Hence the solution region of these inequalities would be the region lower to the line y = 2x + 4 and the region upper to the line y = 2x - 3.
To learn more about Linear Inequalities, click:
#SPJ3
Second option on e2020
Step-by-step explanation:
Trust mee
for this much of this:theres this much of that
lets say you have 4:1 in spoons and forks.
for every 4 spoons, there is 1 fork. if there is 8 spoons there are 2 forks and so on.
The percent is 400%
if you meant 1:4 the percent would be 25%. all other rules apply.
for every 1 spoon you have 4 forks.
(x,y) → (x, y-6)
Then, to reflect in the line y = -x, we switch the x- and y-coordinates and then make them negative
(x,y) → (-(y-6), -x)
Then we move everything back up again
(x,y) → (-(y-6), -x + 6)
I will present to you an example. Reflect the point (-4, 8) in the line y = -x + 6.
(-4,8) → (-(8-6), -(-4) + 6) → (-2, 10)
You should graph this out to confirm with the reflection line.
(x,y) → (-(y-6), -x + 6)
(x,y) → (x, y-6)
Then, to reflect in the line y = -x, we switch the x- and y-coordinates and then make them negative
(x,y) → (-(y-6), -x)
Then we move everything back up again
(x,y) → (-(y-6), -x + 6)
I will present to you an example. Reflect the point (-4, 8) in the line y = -x + 6.
(-4,8) → (-(8-6), -(-4) + 6) → (-2, 10)
You should graph this out to confirm with the reflection line.
T(60) = (-7/6)(60) + 84 = 14
(3n-1)(3n+2) = 3n(3n-1)+2(3n-1) = 9n^2 - 3n + 6n - 2 = 9n^2 + 3n - 2
3n × 3n + 3n × 2 - 3n - 2
Calculate the product of the first two numbers.
9n² + 3n × 2 - 3n - 2
Calculate the product of the next set of multiplication.
9n² + 6n - 3n - 2
Collect the like terms that have a variable of n to get your final answer.
9n² + 3n - 2
This means that the correct answer to your question is going to be 9n² + 3n - 2.
Let me know if you have any further questions.
:)