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
Anettt [7]
3 years ago
6

1. If the length of a rectangle is decreased by 4 cm and the width is increased by 5 cm, the result will be a square, the area o

f which will be 40 cm2 greater than the area of the rectangle. Find the area of the rectangle.
2.The perimeter of a rectangle is 30 cm. If its length is decreased by 3 cm and its width is increased by 5 cm, the area of the rectangle will decrease by 8 cm2. Find the area of the original rectangle.
Mathematics
1 answer:
iren2701 [21]3 years ago
3 0
Let L be length, W be width
(L-4)=(W+5)
(L-4)(W+5)=LW+40
simplify the first equation: L-W=5

simplify the second equation: (L-4)(W+5)=LW+40
               LW-4W+5L-20=LW+40  =>5L-4W=60
             
solve this system of equations: L-W=9
                                                  5L-4W=60
you get W=15, L=24, so the area is 24*15=360

#3:
(L-3)(W+5)=LW-8
2L=2W=30
W=68/8=8.5, L=52/8=6.5, LW=55.25
You might be interested in
PLS I NEED HELP THIS IS MY LAST QUESTION PLS
Keith_Richards [23]

Answer:

82cm have a great day

Step-by-step explanation: have a great day :)

7 0
2 years ago
If a neutral atom gains an electron, what is its charge?
DENIUS [597]
C. Negative because since the neutral atom stands at 0 and positive ions are 1+ and electrons are negative if it gains the electron ( negative ) it will become negative.
7 0
3 years ago
5. h(x)=0.5x - 1 with domain (-♾, 4) what is the range
Rudiy27

We have a domain of a function, that is, which x-es can we throw in. But we are asking which y-s will we get given that we can only throw x-es in (-\infty,4).

Let's try x=4 even though we are forbidden to put 4 inside h we are still able to do so.

So h(4)=0.5\cdot4-1=2-1=1 what we just got is the upper limit of the range. The lower limit is h(-\infty)=-\infty.

So the range is just (-\infty, 1).

Hope this helps :)

6 0
3 years ago
The cheapest available ticket for Super Bowl Ll on the secondary market costs
drek231 [11]

Answer:

He must work 52 days to pay for a single ticket.

Step-by-step explanation:

This question can be solved using proportions.

Per hour:

Joel earns $7.25 per hour, 20% of which is deducted for taxes. So without taxes, in each hour, he earns 100%-20% of 80% of this, so 0.8*7.25 = $5.8.

Per day:

He works 9 a.m. to 5 p.m. each day, so 8 hours a day.

For each hour, he earns $5.8.

So in a day, he makes 8*5.8 = $46.4

How many days he must work:

The ticket costs $2400.

He makes $46.4 a day.

So, to buy a ticket, he needs to work:

2400/46.4 = 51.7 days

Rounding up

He must work 52 days to pay for a single ticket.

7 0
3 years ago
Simplify cos^2 A/1+sin A
Stels [109]

Answer:

\displaystyle \frac{\cos^2(A)}{1+\sin(A)}=1-\sin(A)

Step-by-step explanation:

We want to simplify:

\displaystyle \frac{\cos^2(A)}{1+\sin(A)}

Recall the Pythagorean Identity:

\sin^2(A)+\cos^2(A)=1

So:

\cos^2(A)=1-\sin^2(A)

Substitute:

\displaystyle =\frac{1-\sin^2(A)}{1+\sin(A)}

Factor. We can use the difference of two squares pattern:

\displaystyle =\frac{\left(1-\sin(A))(1+\sin(A))}{1+\sin(A)}

Cancel. Hence:

\displaystyle \frac{\cos^2(A)}{1+\sin(A)}=1-\sin(A)

7 0
3 years ago
Other questions:
  • The quotient of 864÷36
    13·1 answer
  • Please help me, which ones do i choose???
    15·2 answers
  • If sin ∅ = m-n/m+n<br>, find the value of<br>1 + Tan²∅​
    7·2 answers
  • ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
    8·2 answers
  • Caitlin Grasso is a salesperson in the kitchen and bath department at Morris Supplies, Inc. She is guaranteed a minimum salary o
    8·1 answer
  • 31. A driver
    13·1 answer
  • What is the GCF of 15 and 30
    13·2 answers
  • Franklin the frog is competing in a frog jumping contest, Franklin takes three jumps and six steps and lands at 24 Write an equa
    10·2 answers
  • Andre is waiting for the school bus. He knows that 2 out of 6 cars in his town are white. He wants to determine the probability
    15·1 answer
  • Answer this please I’m not sure of the answer
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!