All categories

3 years ago

What are the dimensions of a rectangle with an area of 304 and a perimeter of 70?

1 answer:

5 0

Area = 304 cm^2
perimeter = 70
perimeter = 2(l+w)
70 = 2(l+w)
70/2 = l+w
35 = l+w
Now suppose the length would be = x
width would be= 35-x
NOW Area = l*w
304 = x * (35-x)
304 = 35x -x^2
x^2-35x+304 = 0
use quadratic formula to solve next ok

You might be interested in

How many groups of 2/3 are in 3/5 a. 9/15 b. 9/10 c. 1-1/3 d. 1-1/9

-Dominant- [34]

I believe the answer is B. 9/10

4 0

3 years ago

compare the right-hand and left-hand derivatives to show that the function is not differentiable at the point P. find all points

Softa [21]

$f(x)= \left \{ {{ \sqrt{x} } \atop {2x-1}} \right. 
\\
\\ f'(x)= \left \{ {{ \frac{1}{2\sqrt{x}} } \atop {2}} \right. 
\\
\\ f'(1)= \left \{ {{ \frac{1}{2}} \atop {2}} \right. 
\\
\\ f'(1^-) \neq f'(1^+)$

Therefore, the function is not differentiable at x = 1.

$f(x)= \sqrt{x} 
\\
\\f'(x)= \frac{1}{2 \sqrt{x} } 
\\
\\f'(0)=\frac{1}{2 \sqrt{0} } = \infty$

Therefore, the function is not differentiable at x = 0.

3 0

3 years ago

Six more than the product of 24 and Vidya’s age

Oksana_A [137]

If we use v for Vidya's age, then the expression (24v)+6

3 0

4 years ago

How do I find X for this problem? I’m stuck

Bas_tet [7]

Corresponding sides of the two triangles occur in a ratio with one another. In particular, you have the relationship

$\dfrac6{6+x}=\dfrac{10}{15}=\dfrac y{y+4}$

We only need the first two parts to solve for $x$ :

$\dfrac6{6+x}=\dfrac{10}{15}\implies6\cdot15=10(6+x)\implies90=60+10x\implies30=10x$

$\implies\boxed{x=3}$

8 0

4 years ago

A customer buys a different book that has an original selling price of $38. The book is discounted 25%. The customer must pay a

Marina CMI [18]

Answer:

$30.21

Step-by-step explanation:

100% -25%= 75%

Discounted price of the book

= 75% ×$38

= $28.50

Since the customer must pay an additional 6% of the discounted price,

percentage of discounted price paid

= 100% +6%

= 106%

Total amount paid

= 106% × $28.50

= $30.21

_________________________________

Alternative working:

Original selling price= $38

Since the book is discounted 25%,

100% ----- $38

1% ----- $0.38

75% ----- 75 ×$0.38= $28.50

Since the sales tax is based on the discounted price, we let the discounted price be 100%.

100% ----- $28.50

1% ----- $0.285

106% ----- 106 ×$0.285= $30.21

∴ The total amount the customer pays for the discounted book is $30.21.

7 0

3 years ago