All categories

3 years ago

Elise built a rectangular vegetable garden that is 9 feet long and has an area of 72 square feet.

Mathematics

2 answers:

irga5000 [103]3 years ago

5 0

The answer is 34 you would divide 9 from 72 and get 8 then 8*2 plus 9*2

stich3 [128]3 years ago

4 0

The area is found by multiplying the Length x the Width. 9 x ?=72
9x8=72 Now you know the length of each side. 9+9+8+8 =34
Adding the lengths of each side will give you the perimeter. 34 is the answer.

You might be interested in

Hi, I am new to this website :) I'm currently taking an online trig class on De Moivre's theorem and I don't understand it at al

Vladimir [108]

De Moivre's theorem uses this general formula z = r(cos α + i sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.

For 1) [3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes

[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))]

it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/√2 i
and that is the answer.

For 2) [2(cos(40))+isin(40)]^6, we apply the same steps in 1)

[2^6(cos(40*6))+isin(40*6)],

[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)

And the answer is -32 -32 √3 i

Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i

7 0

3 years ago

I really need the help y>_ -5 y- 1 < 3x

kkurt [141]

Answer:

Step-by-step explanation:

6 0

3 years ago

Which measure of center or spread represents the given situation?A company calculated the difference between the highest and low

defon

D. Range

Hope this helps!

6 0

3 years ago

Read 2 more answers

-3x+2<8 answer this equation

icang [17]

Answer:

x>-2

Step-by-step explanation:

-3x+2<8

Subtract 2 from each side

-3x+2-2<8 -2

-3x < 6

Divide each side by -3. remembering to flip the inequality

-3x/-3 >6/-3

x>-2

7 0

3 years ago

Read 2 more answers

Find f'(x) and state the domain of f': f(x) = In (2x^2+1)

-Dominant- [34]

Answer:

$f'(x) = \frac{4x}{2x^2+1}$

Domain: All Real Numbers

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Calculus

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Derivative: $\frac{d}{dx} [ln(u)] = \frac{u'}{u}$

Step-by-step explanation:

Step 1: Define

f(x) = ln(2x² + 1)

Step 2: Differentiate

Derivative ln(u) [Chain Rule/Basic Power]: $f'(x) = \frac{1}{2x^2+1} \cdot 2 \cdot 2x^{2-1}$
Simplify: $f'(x) = \frac{1}{2x^2+1} \cdot 4x$
Multiply: $f'(x) = \frac{4x}{2x^2+1}$

Step 3: Domain

We know that we would have issues in the denominator when we have a rational expression. However, we can see that the denominator would never equal 0.

Therefore, our domain would be all real numbers.

We can also graph the differential function to analyze the domain.

5 0

3 years ago