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oksano4ka [1.4K]
3 years ago
14

30POINTS HELP!!! WILLBEMARKEDBRAINLIEST Which figure has a greater volume and by how much?

Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
5 0
The answer for this question would be A
Alecsey [184]3 years ago
4 0

Answer:

Answer:

A) The volume of figure 1 is 45 cm³ greater than the volume of figure 2

Step-by-step explanation:

Let's start by calculating the volumes of both figures

Figure 1

Rectangular prism

V = Bh

V = (15*6)(5)

V = (90)(5)

V = 450 cm³

Triangular prism

V = Bh

V = 1/2(3*15)(6)

V = 1/2(45)(6)

V = 1/2(270)

V = 135 cm³

Add them together, you get 585 cm³

Figure 2

Rectangular prism

V = Bh

V = (6*15)(5)

V = (90)(5)

V = 450 cm³

Rectangular pyramid

V = 1/3 Bh

V = 1/3 (15*6)(3)

V = 1/3 (90)(3)

V = 1/3 (270)

V = 90 cm³

Add them together, you get 540 cm³

Subtract 540 from 585 and get 45

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Find the missing length <br> . Leave your answers in simplest radical form
Eddi Din [679]

Use Pythagorean theorem:

x^2+5^2=(\sqrt{122})^2\\\\x^2+25=122\qquad\text{subtract 25 from both sides}\\\\x^2=97\to x=\sqrt{97}

4 0
2 years ago
I need a little help! Can someone check my work? It's a written response with linear systems.
andreyandreev [35.5K]

Answer:

I'd say you need to be more specific.

Step-by-step explanation:

"Different" doesn't tell you much.

Consider the equations ...

  • y = 2x + 1
  • 4x - 2y = -2

These equations are "different", but they are <em>dependent</em>.

_____

I'd mentally (or actually) put the equations in the same form and compare the coefficients of x and y. If they have different ratios, the system is independent and consistent.

If they have the same ratio, the system will not have a single solution. Whether there is no solution or an infinite number of solutions depends on the constant, which I would examine next.

The system above can be put in the form

  • 2x -y = -1
  • 4x -2y = -2

In both cases, the ratio of the x coefficient to the y coefficient is 2/-1 = 4/-2 = -2. This means the lines are at least parallel, if not identical. The numbers in the second equation are all 2 times the numbers in the first equation, so the equations are <em>dependent</em>, and there are an infinite number of solutions. (Both describe the same line.)

If the second equation were 4x -2y = 1, then the two equations would be describing parallel lines, so they would be called <em>inconsistent</em>.

5 0
3 years ago
Cate solved an inequality to find c, the possible number of cats that a shelter can house. She found that c &lt; 28. Which state
ASHA 777 [7]

Answer:

The shelter can house 17 cats because

17 < 28.

Step-by-step explanation:

We cannot have fractions of cats, and we cannot have a negative number of cats. So the third statement is reasonable because c < 28.

8 0
2 years ago
Heyyy!! I could really use some helps this is really stressing me out and I wonder if anyone could explain this to me
elena-14-01-66 [18.8K]

Answer:35

Step-by-step explanation:

3 0
3 years ago
I need some help on this question. Segment LM is the midsegment of trapezoid ABCD. AB=48, and DC=88. What is LM? I am not sure h
agasfer [191]
AB=48, DC=88

48+88=136
136÷2=68

Answer: LM=68
Remember that the length of the mid segment in a trapezoid is half the sum of the base lengths.
4 0
3 years ago
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