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Mrac [35]
3 years ago
10

Plz help... geometry volume, density

Mathematics
1 answer:
Ivenika [448]3 years ago
4 0

From what I'm understanding of these questions, the biggest thing you need to answer these is the formulas for cylinders and triangular prisms. I'm not sure what the quantities are for either question so I'm going to work with made up numbers to give examples for the formulas. For number 2 with the cylinder, let's consider the formula first:

π × r2 × h    <em>OR    </em>pi (3.14) times radius squared times height

If you have the height and you have pi, all you need to take is the doubled radius (aka multiply it by 2) and plug that back into the formula. For the sake of an example, I'm going to make up the number 2 for the radius and 6 for the height. Here's what that would look like:

r = 2; double it, resulting in 4

pi x 4^2 x 6

3.14 x 16 x 6

= 301.44

Work with the actual numbers you have and you're good to go.

For number 3, reducing something by 1/2 means dividing by 2. Let's consider the formula and then work through another example:

1/2 x b x h x l   <em>OR </em>   1/2 times base times height times length

For the sake of an example, I'll use 10 for the height, 15 for the base, and 20 for the length:

h = 10; reduce by 1/2, resulting in 5

1/2 x 15 x 5 x 20

= 750

Plug in your actual quantities, and remember your volume units. Hope this helps!

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The graph represents f(x), and g(x) = 7x – 42.
Aliun [14]
g(x)=7x-42\\\\\y-intercept\ of\ g(x):\\\\f(0)=7\cdot0-42=-42\to(0;\ -42)\\\\x-intercept\ of\ g(x):\\\\0=7x-42\ \ \ \ |+42\\7x=42\ \ \ |:7\\x=6\to(6;\ 0)

f(x)=ax+b\\\\y-intercept\ of\ f(x):\ (0;\ -3)\\\\x-intercept\ of\ f(x):\ (6;\ 0)

Answer:

A) the y-intercept of g(x) is less than the y-intercept of f(x).


4 0
3 years ago
1/3 + 3/9 equals what?​
uranmaximum [27]

Answer:

2/3

Step-by-step explanation:

Reduce the fraction with 3

1/3 + 1/3

Write all numerators above the common denominator

1+1 / 3

Add the numbers

2/3

4 0
3 years ago
Please answer this question
Vladimir [108]

Answer:

  • a = 3/2
  • b = -1/2

Step-by-step explanation:

  \dfrac{\sqrt{5}-1}{\sqrt{5}+1}=\dfrac{(\sqrt{5}-1)(\sqrt{5}-1)}{(\sqrt{5}+1)(\sqrt{5}-1)}\\\\=\dfrac{5-2\sqrt{5}+1}{5-1}=\dfrac{6-2\sqrt{5}}{4}\\\\=\dfrac{3}{2}-\dfrac{1}{2}\sqrt{5}

Comparing this to the form a+b√5, we see that ...

  a = 3/2

  b = -1/2

8 0
3 years ago
Find the product of following:(i) (x+3) (x+2) (ii) (2x-1) (2x-7)​
Inga [223]

Part (i)

<h3>Answer:  x^2 + 5x + 6</h3>

-----------------

Work Shown:

(x+3)(x+2)

y(x+2) ..... Let y = x+3

y*x + y*2 ... distribute

x(y) + 2(y)

x(x+3) + 2(x+3) .... plug in y = x+3

x*x + x*3 + 2*x + 2*3 ... distribute

x^2 + 3x + 2x + 6

x^2 + 5x + 6

=====================================================

Part (ii)

<h3>Answer:  4x^2 - 16x + 7</h3>

-----------------

Work Shown:

We could follow the same set of steps as shown back in part (i), but I'll show a different approach. Feel free to use the method I used back in part (i) if the visual approach doesn't make sense.

The diagram below is a visual way to organize all the terms. Many textbooks refer to it as "the box method" which helps multiply out any two algebraic expressions.

Each inner cell is found by multiplying the corresponding outer terms. For instance, in the upper left corner we have 2x*2x = 4x^2. The other cells are filled out the same way.

The terms in those four inner cells (gray boxes) are:

  • 4x^2
  • -14x
  • -2x
  • 7

The like terms here are -14x and -2x which combine to -16x, since -14+(-2) = -16.

We end up with the answer 4x^2-16x+7

8 0
3 years ago
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