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
The world's largest pumpkin pie weighed 2020 pounds. The pie was 12 and one-third feet across and one-third foot thick. Write a
Yanka [14]

Answer:

\frac{1}{3} = \frac{2}{6}

To find equivalent fractions, multiply be any number that is the same for the numerator/denominator

You can also divide, but it must be divisible by both the numerator/denominator

5 0
4 years ago
Numbers that equal to 39
Natali5045456 [20]

Answer:

1 , 3 , 13 , and 39

Step-by-step explanation:

1 x 39 =39

3 x 13 = 39

13 x 3 = 39

39 x 1 =39

5 0
2 years ago
Read 2 more answers
What is the volume of a small cone if:
Amiraneli [1.4K]

Answer:

Volume of smaller cone =301.44

Step-by-step explanation:

First let angle of cone be\alpha.

then sin(\alpha ) = 3/5       (For bigger triangle)

Same cone angle is for smaller one because they are similar.

cos(\alpha ) = 4/5

Now for smaller cone radius be R

3/5 =R/Slant height

Slant height =5/3R

Lateral surface area =\frac{1}{2}R^{2}\beta  [R = slant height]  

Given lateral surface area =60\pi =\frac{1}{2}(\frac{5R}{3} )^{2} \beta   ...................................1

2\pi R=\frac{5R}{3}\beta        ................................................2

\beta=\frac{6\pi }{5}

Put angle beta in equation 1 and find the value of R

R =6 cm

Height =\frac{4R}{3}

Thus volume =\frac{1}{3}\pi6^{2}*8

                     =301.44

4 0
3 years ago
A public swimming pool that holds 45,000 gallons of water is going to be drained for maintenance at a rate of 100 gallons per mi
crimeas [40]

Answer:

450 minutes

Step-by-step explanation:

Given

w = 45000 - 100t

Required

Determine how long it'll take to empty the pool

Being empty means there's no water in the pool.

So, we have to set w to 0 to get the value of t

i.e w = 0

Substitute 0 for w in w = 45000 - 100t

0 = 45000 - 100t

Collect Like Terms

100t = 45000

Divide through by 100.

t = 450

Hence, it'll take 450 minutes to empty the pool

8 0
3 years ago
PLZ HELP WILL GIVE BRAINLIEST 50+25 POINTS!!!<br><br>Graph the following piecewise function.
Luda [366]

We need to graph the given piecewise function.

To graph any piecewise function we do that into parts

Let's graph upper part first which is

f(x)=x^2+2

restriction for that is -5 \leq x < 3

that means we are free to pick any number for x that is between -5 and 3, including 3.

So we will find few points by plugging random numbers between -5 and 3.

Let's use x=-5, we get:

f(-5)=(-5)^2+2=25+2=27

so first point is (-5,27).

similarly we can find other points like (0,2), (2,6), (-1,3) etc.

Now we join those points by a curved line.

-5 \leq x means we use a close circle at -5

x<3 means use open circle at 3


------------

Repeat same process for 2nd part f(x)=x-4

choose any number between 3 and 7 like x=3, 4 etc

so we get points (3,-1), (4,0) etc

Now graph them

So the final graph will look like:


5 0
3 years ago
Read 2 more answers
Other questions:
  • Ordering decimals<br> Order these numbers from least to greatest.<br> 3.724, 1.8, 1.85, 1.8051
    8·1 answer
  • Sarah is paid $20 an hour at her new job. She wishes to graph her total pay T, as a function of the number of hours, h. She want
    12·1 answer
  • Jack and Tyler ate a total of 35 cupcakes Tyler ate 5 more than jack how many did each person eat
    6·2 answers
  • A design for a triangular shaped t shirt logo has dimensions 1/3 the size of the t shirt logo.the sides of the t shirt logos are
    5·1 answer
  • Let f(x) = n^2 - 1, where n is an integer and n &gt;= 1. Is f(x) always divisible
    15·1 answer
  • you go to the market to buy fruit.two apples and one banana cost $5. if you buy two apples and three bananas the cost is$7.how m
    10·1 answer
  • USIU
    11·2 answers
  • A(n)
    11·2 answers
  • Will mark brainliest! Determine whether the rectangles are similar. If so, write the similarity
    8·1 answer
  • Integrate x<br><img src="https://tex.z-dn.net/?f=x4" id="TexFormula1" title="x4" alt="x4" align="absmiddle" class="latex-formula
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!