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
sergey [27]
2 years ago
14

The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inche

s.
Two students are told that the perimeter of this rectangle is at least 30 inches. The first student says, "The length of the long side must be at least 13 inches". The second student says, "The unknown number must be at least 10 inches". Which of the following statements is true?

The first student is correct.
The second student is correct.
Both students are correct.
Neither student is correct.
Mathematics
2 answers:
anyanavicka [17]2 years ago
8 0
First student is correct. explanation: 2+2+13+13=30, if the perimeter has to be at least 30 13 is the option that adds up to it.
Delicious77 [7]2 years ago
5 0
The first student is correct because 30-4=26
26 divided by 2=13 hope this helps :)
You might be interested in
Please help thank you
vitfil [10]

Answer:

Box below 4: 11

Box above 54: 47

Step-by-step explanation:

hope this helped!

6 0
1 year ago
120% of 120 is what number?
Karo-lina-s [1.5K]

Answer: 1!

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio
Basile [38]

Answer:

W_{max}=480m\\ L_{max}=160m

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, \implies 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

  • x_{max}=-b/2a
  • f(x)_{max}=f(x_{max})

Since our function is A(L)=640L-2L², we get

  • a=-2
  • b=640

plug in the value of a and b into the first formula:

L_{max}=-(640)/2(-2)\implies 160

A(L)_{max}=640(160)-2(160)^2\implies 76800

hence,the dimensions of the pen that will maximize the area are<u> </u><u>L=</u><u>1</u><u>6</u><u>0</u><u>m</u><u> </u>and<u> </u><u>W=</u><u>7</u><u>6</u><u>8</u><u>0</u><u>0</u><u>/</u><u>1</u><u>6</u><u>0</u><u>=</u><u>4</u><u>8</u><u>0</u><u>m</u>

and we're done!

3 0
2 years ago
1.-si el area de un rectangulo es de 144 metros cuadrados y su altura de 8 metros ¿ cual es el valor de su base?
kari74 [83]

Step-by-step explanation:

FÓRMULA:

144 m^{2} = b(8 m)

SE DESPEJA

b = 144 m^{2}/8 m = 18 m

5 0
3 years ago
Louisa ran at an average speed of five miles per hour along an entire circular park path. Calvin ran along the same path in the
docker41 [41]

Answer:

15 miles

Step-by-step explanation:

Let x be the miles in the circular park path, t_{L} the time Louisa takes to finish and t_{C} the time Calvin takes to finish both in hours.

Then x, the longitude is equal to the velocity times the time used to finish. So

x=5t_{L}

x=6t_{C}

And the difference between Louisa's time and Calvin' time is 30 minutes, half an hour. So:

t_{C}=t_{L}-0.5

Three equations, three unknowns, the system can be solved.

Equalizing the equation with x :

5t_{L}=6t_{C}

In this last equation replace t_{C}  with the other equation and solve:

5t_{L}=6(t_{L}-0.5)\\ 5t_{L}=6t_{L}-3\\ 3=6t_{L}-5t_{L}\\ 3=t_{L}\\ t_{L}=3

With Louisa's time find x:

x=5t_{L}\\ x=5(3)\\ x=15

7 0
2 years ago
Other questions:
  • The sales price of a car is 12,590 which is 20% off the original price what is the original price
    12·1 answer
  • Can some one help me with this
    15·1 answer
  • How do you find the circumference of a circle? What is the formula?
    8·1 answer
  • What are some tools you could select to measure length?Explain when you would use them.
    13·2 answers
  • Which number is the best estimate of 866,214,000,000
    7·1 answer
  • I need help with graphing
    14·1 answer
  • If a:b is 2:5 and b:c is 3:4, find a:b:c
    6·1 answer
  • ILL GIVE BRAINIEST IF U GET IT RIGHT Sarah has red and blue modeling clay. When she found that of her modeling clay was red, she
    15·1 answer
  • Help!
    12·1 answer
  • The transverse axis of a hyperbola is the x-axis, and the equation of the asymptotes is y=± (4)/(3)x
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!