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Daniel [21]
3 years ago
14

How many cubes with side lengths of 1/3 cm does it take to fill a rectangular prism with dimensions 1cm, 2 2/3cm and 2/3cm?

Mathematics
1 answer:
Anarel [89]3 years ago
6 0
You would need 8 cubes to fill the prism
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A farmer has a field in the shape of a semicircle of diameter 50 m. First,
dexar [7]

Answer:

157.1 m

Step-by-step explanation:

Here, we want to calculate the length of the semi-circle

This simply refers to the circumference of the semi-circle

Mathematically, the circumference is half that of a full circle

The circumference of a full circle is;

C = pi * d

For half circle or semi-circle;

It is ;

C = (pi * d)/2

D = 50 m

The circumference is thus;

C = 50 * 3.142

C = 157.1 m

5 0
3 years ago
1. Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial i
Katena32 [7]
Polynomial with real coefficients always has even number of complex roots. We know that one of them is 2 + 5i so the second one will be  2 - 5i and:

f(x)=\big(x-4\big)\big(x-(-8)\big)\big(x-(2+5i)\big)\big(x-(2-5i)\big)=\\\\=(x-4)(x+8)(x-2-5i)(x-2+5i)=\\\\=(x^2-4x+8x-32)(x^2-2x+5ix-2x+4-10i-5ix+10i-25i^2)\\\\=\big(x^2+4x-32\big)\big(x^2-4x+4-25\cdot(-1)\big)=\\\\=(x^2+4x-32)(x^2-4x+29)=\\\\=x^4-4x^3+29x^2+4x^3-16x^2+116x-32x^2+128x-928=\\\\=\boxed{x^4-19x^2+244x-928}

Answer B.
8 0
3 years ago
Read 2 more answers
Help!!! Assignment due in 20 minutes!!
Vitek1552 [10]

Answer:

2

Step-by-step explanation:

The answer would be 2 because it reduces to the same system of equations as the original, which I knew since the first equation was the same and if you divide everything in the second by 2, you'll get 3x-y=8. :)

7 0
3 years ago
Anybody know where the fractions go?
Nikolay [14]
Wish i could help :(
8 0
3 years ago
To complete this component you will need to insert parentheses in Expression 2 to change the order of operations so the expressi
Alika [10]

Given:

The expression is 5+4\times 2+6-2\times 2-1.

To find:

The position of parentheses inserted in the expression to get the value 19

Step-by-step explanation:

We have,

5+4\times 2+6-2\times 2-1

Now,

(5+4)\times 2+6-2\times 2-1=9\times 2+6-4-1

(5+4)\times 2+6-2\times 2-1=18+6-5

(5+4)\times 2+6-2\times 2-1=18+1

(5+4)\times 2+6-2\times 2-1=19

There are more ways to apply the parenthesis, but we do not get 19.

5+4*\left(2+6\right)-2*2-1=32\neq 19

5+4*2+\left(6-2\right)*2-1=20\neq 19

5+4*2+6-2*\left(2-1\right)=17\neq 19

And many more possibilities.

Therefore, the expression after inserting the parentheses is (5+4)\times 2+6-2\times 2-1.

6 0
3 years ago
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