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3 years ago

Sheila is farming a plot of land that is a

Mathematics

1 answer:

Artemon [7]3 years ago

5 0

Answer:

6240 bushels

Step-by-step explanation:

You first find the area of the trapezoid. the formula is A= h(base 1+ base 2)/2

you will get 19968.235 as the area.

then you divide the area by 3.2 and round the answer to the nearest whole number and that is your answer.

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3(5x-4)=8x+2<br> Help me find "X"

Umnica [9.8K]

3(5x-4) =8x+2
15x -12 =8x+2
15x-8x =2+12
7x =14
x =14/7
x=2 (ans)

8 0

2 years ago

Read 2 more answers

Fill in the blank to make the expression a perfect square:

tigry1 [53]

Answer:

Step-by-step explanation:

So here you're just completing the square. the equation you gave is simply: $n^2+16n+c$ where c is the unknown value we're solving for. Whenever you complete the square, you add (b/2)^2

The reason for this, is because whenever you write a binomial as a perfect square it's in the form: $(x+b)^2$ and this binomial expands out to become: $x^2+2bx+b^2$

If we write the second term of the binomial as b/2 we get:

$(x+\frac{b}{2})^2=x^2+2(\frac{b}{2})x+(\frac{b}{2})^2$

which simplifies to:

$(x+\frac{b}{2})^2=x^2+bx+(\frac{b}{2})^2$

and as you can see the last term is (b/2)^2, which is why we need to add that part for it to be a perfect square.

So we would need to add (16/2)^2 = 8^2 = 64

This way, we can express it as a perfect square binomial: $(n+8)^2$ which expands out to: $n^2+2(8)(n)+8^2 = n^2+16n+64$

7 0

1 year ago

Find the smallest positive integer k such that 3240/k is a square number

sashaice [31]

Answer:

Step-by-step explanation:

First, factorize the number 3,240:

$3,240=2\cdot 1,620=2\cdot 2\cdot 810=2\cdot 2\cdot 2\cdot 405=2\cdot 2\cdot 2\cdot 2\cdot 5\cdot 81=2^3\cdot 5\cdot 9^2$

So,

$3,240=2^2 \cdot 2\cdot 5\cdot 9^2=18^2\cdot 10$

Now consider the fraction

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{k}$

If k = 10, then

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{10}=18^2$

is a square number.

For all k < 10, the fraction tex]\dfrac{3,240}{k}[/tex] is not a square number (this follows from factorization).

Or you can simply check the values of the fraction for all k < 10:

k = 1, $\dfrac{3,240}{1}=3,240$ is not a square number;
k = 2, $\dfrac{3,240}{2}=1,620$ is not a square number;
k = 3, $\dfrac{3,240}{3}=1,080$ is not a square number;
k = 4, $\dfrac{3,240}{4}=810$ is not a square number;
k = 5, $\dfrac{3,240}{5}=648$ is not a square number;
k = 6, $\dfrac{3,240}{6}=540$ is not a square number;
k = 7, $\dfrac{3,240}{7}$ is not a square number;
k = 8, $\dfrac{3,240}{8}=405$ is not a square number;
k = 9, $\dfrac{3,240}{9}=360$ is not a square number.

5 0

3 years ago

E is the midpoint of Df, DE=2x+4, and EF=3x-1. Find all segment lengths

sertanlavr [38]

If E is the midpoint, DE and EF are equivalent.
2x+4=3x-1
4=x-1
5=x

Plug the value of x in
2(5)+4
14

3(5)-1
14

14+14=28

Final answer: DE=14, EF=14, DF= 28

6 0

3 years ago

Dia loves to drink hot chocolate in the morning. Her dad makes the hot chocolate the same way each day. He uses 3 ounces of choc

Elden [556K]

Answer:

9 ounces

Step-by-step explanation:

He uses 3 ounces 3 different days. That is 3x3 which equals 9. Hope you get a 100! :)

8 0

3 years ago