Answer:
They are not similar
Step-by-step explanation:
To determine whether the prism are similar we need to calculate their volumes
Volume of a prism = Base Area * Height
Volume of the first prism = 18ft *8 * 8ft
Volume of the first prism = 1152ft^2
Volume of the second prism = 30t * 15 * 15ft
Volume of the second prism = 6,750ft^2
Since the volumes are different, the prism are not similar.
The answer is b) y = 3x + 3.
To find this, we first need to find the slope. The slope formula is listed below.
m = (y2 - y1)/(x2 - x1)
In this equation, m is the slope, and (x1, y1) is the first point, where (x2, y2) is the second point. We'll use (2, 9) and (3, 12) for the points.
m = (y2 - y1)/(x2 - x1)
m = (12 - 9)/(3 - 2)
m = 3/1
m = 3
Now that we have the slope at 3. we can use slope intercept form and one point to solve for the y-intercept. We'll use (2, 9) as the point.
y = mx + b
9 = 3(2) + b
9 = 6 + b
3 = b
When we use the slope and intercept together to get the equation. y = 3x + 3
The power symbols are missing.
I can infere that the product intended to simplify is (7^8) * (7^-4)., because that permits you to use the rule of the product of powers with the same base.
That rule is that the product of two powers with the same base is the base raised to the sum of the powers is:
(A^m) * (A^n) = A^ (m+n)
=>(7^8) * (7^-4) = 7^ [8 + (- 4) ] = 7^ [8 - 4] = 7^4, which is the option 3 if the powers are placed correctly.
Answer:
The first box will have 90 marbles, the second 180 and the third 270.
Step-by-step explanation:
Division in a ratio of 1:2:3
1 + 2 + 3 = 6
So
The first box will have 1/6 of the marbles.
The second box will have 2/6 = 1/3 of the marbles
The third box will have 3/6 = 1/2 of the marbles.
First box:
One sixth, so:
(1/6)*540 = 540/6 = 90
Second box:
One third, so:
(1/3)*540 = 540/3 = 180
Third box:
One half, so:
(1/2)*540 = 540/2 = 270
The first box will have 90 marbles, the second 180 and the third 270.
I am sorry but i don't know, But the student won 32 times. I did the math on paper and then on my calculator. I am really sorry i couldn't help you. 'ω' Hope you do good on this question and again sorry i could not help you.<span />
