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ICE Princess25 [194]
3 years ago
14

Find the volume of the prism at right all angles are right angles.....

Mathematics
2 answers:
dexar [7]3 years ago
8 0
Lets divide this prism into two parts. The bottom part has dimensions of 15mm length x 5mm width x 7mm height.

The bottom is 15x5x7 = 525 cubic mm.

The top part has dimensions of 9mm length (I got this by subtracting the 3mm on each side that the top is shorter than the bottom.. 15-3x2) x 5mm width x 3mm height.

The top is 9x5x3 = 135 cubic mm.

Added together ... 525 + 135 = 660 cubic mm = the total area of the prism.

Hope this helps
wariber [46]3 years ago
6 0
Volume of the larger block = 15x5x7 = 525 mm³

In the smaller block, to be able to calculate the volume we need to know its lateral base or length: Length = 15 - 3 - 3 = 9mm

Then its volume is 9x5x3=135 mm³

TOTAL VOLUME = 525+135 =660 mm³
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What is the quotient of 5/6 divided by 3/4
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The correct answer is 10/9 or 1.1. Hope this helps.
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Which of these could be considered a statistical question?
MakcuM [25]

The statistical question would be B.

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Jimmy threw a baseball in the air from the roof of his house. The path followed by the baseball can be modeled by the function f
erastovalidia [21]

Answer:

Step-by-step explanation:

The first part of A is easy. Look at the quadratic function, and the constant, the very last number with no t stuck to it represents the height from which the object in question was originally launched. Our constant is 40, so the height of the roof from which the baseball was thrown is 40 feet. Part 2 of A is not quite as simple because it requires factoring using the quadratic formula.Before we do that, let's make our numbers a bit more manageable, shall we? Let's factor out a -8 to get

f(t) = -(t^2-6t-5) and a = 1, b = -6, c = -5.

Filling in the quadratic formula now looks like this:

t=\frac{6+-\sqrt{6^2-4(1)(-5)} }{2(1)} and

t=\frac{6+-\sqrt{36+40} }{2} and

t=\frac{6+-\sqrt{56} }{2} so the 2 solutions are

t=\frac{6+\sqrt{56} }{2}=6.74sec and

t=\frac{6-\sqrt{56} }{2}=-.742sec and since we know time can NEVER be negative, the time it takes for the baseball to hit the ground from a height of 40 feet is 6.74 seconds. Onto part B.

In order to determine exactly how high the baseball did go, we have to find the vertex of the function. We do this by completing the square and getting the function into vertex, or work, form. Begin by setting the quadratic equal to 0, moving over the constant, and then factoring out the leading coefficient. The rule for completing the square are kinda picky in that you have to have a 1 as the leading coefficient, and righ now ours is a -8. So following the rules I stated above:

-8(t^2-6t)=-40 Next is the take half the linear term, square it, and then add it to both sides. Our linear term is a -6. Half of -6 is -3, and -3 squared is 9, so we add 9 into the parenthesis first:

-8(t^2-6t+9)=-40+??

Because this is an equation, we can't add 9 to one side without adding the equivalent to the other side. But, we cannot forget about that -8 sitting out front there, refusing to be ignored. We didn't just add in a 9, we actually added in a -8 times 9 which is -72. That's what goes on the right side in place of the ??.

-8(t^2-6t+9)=-40-72

The reason we complete the square is found on the left side of the equals sign. We have, in the process of completing the square, formed a perfect square binomial that will serve as the h in our vertex (h, k) where h is the number of seconds it takes for the baseball to reach its max height of k, whatever k is. That's what we have to find out. Putting the left side into its simplified perfect square binomial and adding the numbers on the right gives us:

-8(t-3)^2=-112

For the last step, add over the -112 and set it back equal to f(t):

-8(t-3)^2+112=f(t) From that we determine that the vertex is (3, 112). The max height of this baseball was 112 feet...so no, it did not make it up to the height of 120 feet that Jimmy wanted for the baseball.

6 0
2 years ago
Hello!!:) <br> Please help me answer 1-6 will give brainlst &lt;3
SOVA2 [1]

Answer:

1. 1/4

2. -3

3. 3

4. -3/2

5. -2

6. -3/4

Step-by-step explanation:

5 0
2 years ago
(01.01 LC)
maw [93]

Answer:

Square root of 36.

Step-by-step explanation:

The square root of 36 = 6  so this is rational.

Recall that a rational number is one that can be written as a/b  where a and b are not 0. 6 can be written as 6/1.

3 0
3 years ago
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