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3 years ago

Simplify the expression 5(n^2+n)-3n(2n^2+4n-2)

Mathematics

1 answer:

slega [8]3 years ago

8 0

first, lets distribute the equation. 5(n^2+n)-3n(2n^2+4n-2) would become

5n^2 +5n -6n^3 -12n^2 +6n

Now we add the like terms.

-6n^3 - 7n^2 +11n

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a gardener is putting a wire fence along the edge of his garden to keep animals from eating his plants. if he has 20meters of fe

Alexeev081 [22]

Answer:

The largest rectangular space is $24m^{2}$

Step-by-step explanation:

Given a 20m long wire fence, implies that the perimeter of the fence has been given, because Perimeter can be defined as the length of the boundary of a figure (in this case, a rectangle)

So, from the formula: Perimeter = 2 (L + B) = $20m^{2}$

We have that L + B = $10m^{2}$

The possible values of L and B are:

(L, B) = (9, 1), (8, 2), (7, 3) and (6, 4).

The areas of the rectangle that will be formed using these values are respectively; $9m^{2}$ , $16m^{2}$ , $21m^{2}$ and $24m^{2}$ , the largest area of which is the last which corresponds to the values (6, 4).

The largest rectangular space that the gardener can enclose is therefore $24m^{2}$

7 0

2 years ago

Please help... I have no clue

muminat

Answer:

OPTION C: Sin C - Cos C = s - r

Step-by-step explanation:

ABC is a right angled triangle. ∠A = 90°, from the figure.

Therefore, BC = hypotenuse, say h

Now, we find the length of AB and AC.

We know that: $\textbf{Sin A} = \frac{\textbf{opp}}{\textbf{hyp}}$

and $\textbf{Cos A} = \frac{\textbf{adj}}{\textbf{hyp}}$

Given, Sin B = r and Cos B = s

⇒ $Sin B = r = \frac{opp}{hyp} = \frac{AC}{BC} = \frac{AC}{h}$

⇒ $\textbf{AC} = \textbf{rh}$

Hence, the length of the side AC = rh

Now, to compute the length of AB, we use Cos B.

$Cos B = s = \frac{adj}{hyp} = \frac{AB}{BC} = \frac{AB}{h}$

⇒ $\textbf{AB} = \textbf{sh}$

Hence, the length of the side AB = sh

Now, we are asked to compute Sin C - Cos C.

$Sin C = \frac{opp}{hyp}$

⇒ $Sin C = \frac{AB}{BC}$

$= \frac{sh}{h}$

= s

Sin C = s

$Cos C = \frac{adj}{hyp}$

$\implies Cos C = \frac{AC}{BC}$

⇒ Cos C = $\frac{rh}{h}$

Therefore, Cos C = r

So, Sin C - Cos C = s - r, which is OPTION C and is the right answer.

5 0

3 years ago

Eighteen out of 24 of emil’s cds are country music. five out of 8 of imani’s cds are country. which is a true statement?

Evgesh-ka [11]

You don't have the statements

7 0

2 years ago

Read 2 more answers

Tanya spent 1/5 of her allowance on candy and 2/3 on food. What fraction of her allowance did Tanya spend on food and candy alto

kari74 [83]

13/15 of her allowance was spent in total.

To solve this, you'd need to find the least common denominator (LCD) so that both fractions have the same number on the bottom. In this case, the first number that you could get with 5 and 3 was 15.

Next, you'd have to multiply the numerator by the same amount as the denominator, so that the fractions are proportionate. So, for 1/5, since we had to multiply 5 by 3 to get 15, we'd multiply 1 by 3 as well, giving us 3/15. Doing the same with 2/3, we'd get 10/15.

Then, you add the two fractions together (10/15 + 3/15 = 13/15).

Now, in any other case, you could probably simplify the fraction after you've solved the problem. If we got 12/15 instead of 13/15, then we could simplify that to 4/5, since both 12 and 15 are divisible by 3. But in this case, this is the simplest form of that fraction.

Hope this helped!!!

8 0

3 years ago

Need help on this one

Alenkinab [10]

Combine like terms then you have your answers

6 0

3 years ago

Read 2 more answers