1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bagirrra123 [75]
3 years ago
6

We are interested in the dimensions of a certain rectangle. This rectangle has length 5 units more than the side of this square

and width half the side of this square. If the two areas are equal, what are the rectangle's dimensions (w x h)?
Mathematics
1 answer:
kykrilka [37]3 years ago
4 0
Let s be the measure of the measure of the sides of the square such that its area is s². From the conditions above, the length of the rectangle is s + 5 and its width is 0.5s. The area of the rectangle is (s+5)(0.5s)
                             s² = (s + 5)(0.5s) 
The value of s is 5. Thus the dimension of the rectangle in w x h is 2.5 x 10.
You might be interested in
Look at the figure shown below.
cluponka [151]
Im guessing its A hope it helped
3 0
3 years ago
Read 2 more answers
Joe provides photos for two online sites: site A and site B. Site A pays $0.75 for every photo Joe provides. The amount in dolla
Katyanochek1 [597]
If Joe gave 5 pics to site A. Site A would give him $0.75*5=$3.75
If Joe gave 5 pics to Site B. Site B would give him $0.25*5=$1.25
3.75-1.25=2.50
Site A gave him $2.50 more than Site B.
3 0
3 years ago
Read 2 more answers
the 43rd term of an arithmetic sequence is -671 and the 52nd term is -806. find the first term and the common difference.
Bond [772]

Answer:

First term = -41.

Common difference = -15.

Step-by-step explanation:

nth term: an = a1 + (n - 1)d  where a = first term and d = the common difference.

-671 = a1 + (43 - 1)d

-806 = a1 +(52 - 1)d

-671  = a1 + 42d

-806 = a1 + 51d

Subtracting ( to eliminate a1):

-671 - (-806) = 42d - 51d

-9d =  135

d = -15

Substitute for d in the first equation:

-671 = a1 + 42*-15

-671 = a1 - 630

a1 = -671 + 630 = -41.

3 0
2 years ago
115 divided by 356................
Airida [17]

Answer:

0.32        

:)

brainliest greatly appretiated

8 0
2 years ago
Read 2 more answers
Show work please<br> \sqrt(x+12)-\sqrt(2x+1)=1
Nesterboy [21]

Answer:

x=4

Step-by-step explanation:

Given \displaystyle\\\sqrt{x+12}-\sqrt{2x+1}=1, start by squaring both sides to work towards isolating x:

\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2

Recall (a-b)^2=a^2-2ab+b^2 and \sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b}:

\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2\\\implies x+12-2\sqrt{(x+12)(2x+1)}+2x+1=1

Isolate the radical:

\displaystyle\\x+12-2\sqrt{(x+12)(2x+1)}+2x+1=1\\\implies -2\sqrt{(x+12)(2x+1)}=-3x-12\\\implies \sqrt{(x+12)(2x+1)}=\frac{-3x-12}{-2}

Square both sides:

\displaystyle\\(x+12)(2x+1)=\left(\frac{-3x-12}{-2}\right)^2

Expand using FOIL and (a+b)^2=a^2+2ab+b^2:

\displaystyle\\2x^2+25x+12=\frac{9}{4}x^2+18x+36

Move everything to one side to get a quadratic:

\displaystyle-\frac{1}{4}x^2+7x-24=0

Solving using the quadratic formula:

A quadratic in ax^2+bx+c has real solutions \displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}. In \displaystyle-\frac{1}{4}x^2+7x-24, assign values:

\displaystyle \\a=-\frac{1}{4}\\b=7\\c=-24

Solving yields:

\displaystyle\\x=\frac{-7\pm \sqrt{7^2-4\left(-\frac{1}{4}\right)\left(-24\right)}}{2\left(-\frac{1}{4}\right)}\\\\x=\frac{-7\pm \sqrt{25}}{-\frac{1}{2}}\\\\\begin{cases}x=\frac{-7+5}{-0.5}=\frac{-2}{-0.5}=\boxed{4}\\x=\frac{-7-5}{-0.5}=\frac{-12}{-0.5}=24 \:(\text{Extraneous})\end{cases}

Only x=4 works when plugged in the original equation. Therefore, x=24 is extraneous and the only solution is \boxed{x=4}

4 0
2 years ago
Other questions:
  • Charlie mixes 15 liters of 17% acid solution with a 29% acid solution, which results in 23% acid solution.
    12·1 answer
  • Jennifer took a long multiple choice, end of year vocabulary test. The ratio of numbers of problems Jennifer got correct to the
    7·1 answer
  • Four times a number is 4 more than two times the number. What is the number
    14·1 answer
  • Could anybody give me some help? I'm a little confused .-. &lt;3
    11·1 answer
  • Ryan made a 3000 down payment on a car the total cost of the car was 7500 he made 36 equal monthly payment to pay the car in ful
    6·1 answer
  • What does the variable k represent in the following equation : k/2 +1/2=3
    7·1 answer
  • What are the solutions to the equation?
    6·1 answer
  • In rectangle ABCD, point E lies halfway between sides AB and CD and halfway between sides AD and BC. If AB=6 and BC=9, what is t
    7·1 answer
  • How do you find area of a circle
    14·1 answer
  • David bought 5/6 of a pound of candy. He would like to split it between his 5 friends. What fraction of the candy will each frie
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!