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Vedmedyk [2.9K]
3 years ago
11

Is (1, 2) a solution of the system?

Mathematics
1 answer:
PIT_PIT [208]3 years ago
6 0
I don’t know I guess?
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Please help me with this question!
Rasek [7]

Answer:

87 packages

Step-by-step explanation:

First we need to find the volume of the cone-shaped vase.

The volume of a cone is given by:

V_cone = (1/3) * pi * radius^2 * height

With a radius of 9 cm and a height of 28 cm, we have:

V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3

Each package of sand is a cube with side length of 3 cm, so its volume is:

V_cube = 3^3 = 27 cm3

Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:

V_cone / V_cube = 2375.044 / 27 = 87.9646 packages

So we can use 87 packages (if we use 88 cubes, the vase would overflow)

5 0
3 years ago
Read 2 more answers
Can u help me with these math problems
Vlada [557]

Answer:

Q3: A

Q4: 9x² + (-x) + (-3)

Step-by-step explanation:

Q3: C (63) => x = 63. => C(x) = 36 x 63

Q4: f(x) + g(x) = 7x² - 5x + 3 + 2x² + 4x - 6 = (7x² + 2x²) + (-5x + 4x) + (3 - 6) = 9x² + (-x) + (-3)

8 0
3 years ago
Factorise (2t-7)²-(5t-4)² <br>with working pls​
sertanlavr [38]

Answer:

33+12t−21t^2

Step-by-step explanation:

(2t-7)²-(5t-4)²

Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (2t-7)².

4t^2−28t+49−(5t-4)²

Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (5t-4)².

4t^2−28t+49−(25t^2−40t+16)

To find the opposite of 25t^2

−40t+16, find the opposite of each term.

4t^2−28t+49−25t^2−40t+16

Combine 4t^2  and −25t^2  to get −21t^2.

−21t^2−28t+49+40t−16

Combine −28t and 40t to get 12t.

−21t^2+12t+49−16

Subtract 16 from 49 to get 33.

−21t^2+12t+33

Swap terms to the left side.

33+12t−21t^2

I hope this helped!

5 0
3 years ago
Use the definition of the logarithmic function to find x. log4 0.25=x x=?
GREYUIT [131]
The answer is -1.

log_4(0.25)  =log_4( \frac{1}{4})= log_4(4^{-1} ) \\  \\ &#10;log(x^{a} ) = a*log(x) \\  \\ &#10;log_4(4^{-1} )= -1 *log_4(4) \\  \\ &#10;log_y(x) =  \frac{log(x)}{log(y)}  \\  \\ &#10;-1 *log_4(4) = -1* \frac{log(4)}{log(4)} = -1
5 0
3 years ago
Another easy question need fast please
Tresset [83]

Answer:

30.25

Step-by-step explanation:

All angles of a line must add up to 180. Since we already know that one angle is 90 degrees, we know that the other angles should add up to 90 degrees in order for all of the angles to add up to 180 degrees:

(3x-7)+(x+8)=90

4x+1=90

4x=89

x=22.25

22.25+8= 30.25

3 0
2 years ago
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