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
IceJOKER [234]
2 years ago
5

find the dimensions of a rectangle that has a length 3 inches longer than it’s width and has an area of 40in^2

Mathematics
1 answer:
Gnom [1K]2 years ago
4 0

<u><em>Answer</em></u>

length: 8 inch and width: 5 inch

<u><em>Explanation</em></u>

Let width be x,

then the length: x + 3

solve:

\sf (x+3)(x) = 40

\sf x^2+3x = 40

\sf x^2+3x-40=0

\sf x^2+8x-5x-40=0

\sf x(x+8)-5(x+8)=0

\sf (x-5)(x+8)=0

\sf x = 5 \ or \  -8

  • As width cannot be negative, width will be 5.

Find for length:

\sf x + 3

\sf  5+ 3

\sf 8

You might be interested in
Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min, and its coarseness is such that it forms a pile in the shap
pogonyaev

Answer:

Rate of increase in height =\frac{dh}{dt}=0.3156ft/min

Step-by-step explanation:

we know that volume of a cone is given by

V=\frac{1}{12}\pi d^{2}h

It is Given that diameter equals height thus we have

V=\frac{1}{12}\pi h^{2}h\\\\V=\frac{1}{12}\pi h^{3}

Differentiating both sides with respect to time we get

\frac{dV}{dt}=\frac{1}{12}\pi \frac{dh^{3}}{dt}\\\\\frac{dV}{dt}=\frac{1}{12}\pi(3h^{2}\frac{dh}{dt})

Applying values and solving for \frac{dh}{dt} we get

\frac{dh}{dt}=\frac{12\frac{dV}{dt}}{3\pi h^{2}}\\\\\frac{dh}{dt}=0.3156ft/min

8 0
3 years ago
CAN SOMEONE HELP ME WITH THIS?!
lutik1710 [3]

Answer:

a = 14

b = 24

c = 24.9

A = 33.2 degrees

B = 70 degrees

C = 76.8 degrees

Step-by-step explanation:

a/sin(A) = b/sin(B) = c/sin(C)

14/sin(A) = 24/sin(70)

sin(A)×24 = sin(70)×14

sin(A) = sin(70)× 14/24 = sin(70) × 7/12 = 0.548154029...

A = asin(0.548154029...) = 33.240464... degrees

the sum of all angles in a triangle is airways 180 degrees.

C = 180 - 70 - 33.240464... = 76.75954... degrees

24/sin(70) = c/sin(76.75954...)

c = 24×sin(76.75954...)/sin(70) = 24.86133969...

6 0
3 years ago
What 2m+3 over 2 =3m-1 over 3
Ira Lisetskai [31]
2m3 is. not over3 because. 2is lower than 3
3 0
3 years ago
rodney needs $90 to buy a fish tank. he has saved $35 and plans to work as a babysitter to earn $5 per hour. which inequality sh
kykrilka [37]
N = number of hours.

$5 per hour, total = 5*n = $5n

Since $35 has been saved. 

The amount saved plus the amount got from baby sitting should be greater or equal to the $90 cost.

5n + 35 ≥ 90

5n ≥ 90 -35

5n ≥ 55

n ≥ 55/5

n ≥ 11

So Rodney should baby sit for at least 11 hours, that is 11 and above.
8 0
3 years ago
vivi is a drummer for a band. she burns 756 calories while drumming for 3 hours. she burns the same number of calories each hour
Airida [17]

Answer:

252 cph

Step-by-step explanation:

756 divide by 3 is 252

6 0
3 years ago
Other questions:
  • To one-one functions g and h are defined as follows.
    11·1 answer
  • David wants to hang a mirror in his room. The mirror and frame must have an area of 8 square feet. The mirror is 2 feet wide and
    13·1 answer
  • A large bag of marbles contains an equal amount of red, orange, yellow, blue, and green marbles. Jaden randomly selects 1 marble
    6·1 answer
  • A ranger spots a forest fire on a 24-meter observation tower. The angle of depression from the tower to the fire is 29°. To the
    14·2 answers
  • Which decimal is equivalent to
    12·2 answers
  • Which of the following is true about the function below?
    5·1 answer
  • The number of birds this year in the city of L.A. has increased by 15%. Last year there were 405,000 birds. How many birds are t
    7·1 answer
  • Tim buys a torch and a battery. The torch costs 11 times as much as the battery. Tim pays with a £10 note and gets £4.84 change.
    12·1 answer
  • I need help lol haha hahahahahhahhahahhahahah
    15·1 answer
  • 2<br> _ y + 3 =15 What is y<br> 3
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!