All categories

3 years ago

Please help my test is this week ;/

Mathematics

1 answer:

Rudik [331]3 years ago

5 0

Step-by-step explanation:

Let x=one side of the square; y=one side of the rectangle:

The perimeters are equal, so 4x=2y+22, or y=2x-11. The areas are given by x^2, and 11(2x-11). Since the square is 4 cm^2 larger than the rectangle, we get:

x^2-4=11(2x-11)

x^2-4=22x-121

x^2-22x+117=0

(x-13)(x-9)=0

x=13, or 9

Plugging 13 into our original equation, we get a square 13X13 or 169cm^2, and a rectangle (26-11)X 11, or 165cm^2, which satisfies our requirements!!!!!!

You might be interested in

5. Bob the Burrito is tumbling down a mountain, If Bob is going 20 m/s for 45 seconds

damaskus [11]

Answer: 0.444444444 m / s2

Step-by-step explanation: All you have to do is divide 20 m/s by 45 seconds and you get the answer.

Hope this helps!

I am joyous to assist anytime! (-:

~Jarvis

8 0

3 years ago

The length of a rectangle is 59 inches greater than twice the width. If the diagonal is 2 inches more than the length, find the

Paul [167]

So.. hmm notice the picture here

we know the length is 59 more than twice the width,
twice the width, 2 * w, or 2w
59 more than that
2w + 59

we also know that, whatever that is, the diagonal of it is,
2 more inches than that, or
(2w + 59) + 2

now.. use the pythagorean theorem
$\bf c^2=a^2+b^2\implies \qquad 
\begin{cases}
a=2w+59\\
b=w\\
c=(2w+59)+2\to 2w+61
\end{cases}
\\\\\\
(2w+61)^2=(2w+59)^2+(w)^2
\\ \qquad\qquad \uparrow\qquad \qquad\qquad \qquad \uparrow \\
\textit{expand using binomial theorem, or FOIL}$

you'd end up with a quadratic, after simplifying, solve for "w"

7 0

3 years ago

Pls help me:) I rlly need it!

Alika [10]

Answer:

6 x 10^5

Step-by-step explanation:

800000 - 200000 = 600000

hope this helps!

6 0

3 years ago

Read 2 more answers

What is the volume of this figure?

Oksi-84 [34.3K]

Answer:

88 ft^3

Step-by-step explanation:

First find the volume of the rectangular prism on the left

V = l*w*h = 2*(4)*8 = 2*4*8= 64 ft^3

Then find the volume of the rectangular prism on the bottom

The base is not 5 but 5-2 since we used 2 on the left side

V = l*w*h = (5-2) *4*2 = 3*4*2 = 24 ft^3

Add them together

64+24=88

3 0

3 years ago

LITERALLLLLLY DO AT 12

Lyrx [107]

Answer:

New England had skilled craftsmen in the industry of shipbuilding. The Mid-Atlantic presented a diverse workforce of farmers, fisherman, and merchants. The Southern Colonies were primarily agricultural with few cities and limited schools.

Hope this helped :)

7 0

3 years ago

Read 2 more answers