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
AlekseyPX
3 years ago
14

The area of the conference table in Mr. Nathan’s office must be no more that 175 ft^2. If the length of the table is 18 ft more

that the width, x, which interval can be the possible widths ?
Mathematics
1 answer:
hodyreva [135]3 years ago
6 0

Answer:

(0, 7]

Step-by-step explanation:

Let's call the width W and the length L.  The length is 18 feet more than the width, so:

L = W + 18

The area can be no more than 175, so:

A ≤ 175

LW ≤ 175

Since L = W + 18:

(W + 18) W ≤ 175

W² + 18W ≤ 175

W² + 18W - 175 ≤ 0

(W - 7) (W + 25) ≤ 0

-25 ≤ W ≤ 7

However, the width of the table can't be nonpositive, so:

0 < W ≤ 7

Or in interval notation, (0, 7].

You might be interested in
what are the vertex and x -intercepts of the graph of y=(x-4)(x+2)? Select one answer for the vertex and one for the x-intercept
kkurt [141]

Answer:

B&E

Step-by-step explanation:

Realized that I didn't actually "answer it" hahaha! Using a online calculator is always helpful in finding answers like these.

5 0
3 years ago
Find the volume of this cone.<br> Use 3 for TT.<br> 5in<br> Tr2h<br> 3<br> 8in<br> V<br> V ~ [?]in3
LuckyWell [14K]

Answer:

50 in ^3

Step-by-step explanation:

V = 1/3 pi r^2 h

We know that pi = 3  

the diameter is 5 so the radius is 1/2 the diameter of 5/2 = 2.5

The height is 8

V = 1/3 ( 3) ( 2.5)^2 ( 8)

V = 50 in ^3

5 0
2 years ago
Write an expression that equals 56. Include an exponent.
Troyanec [42]

There are many possibilities. An example is 1^{1} + 55 = 56.

6 0
3 years ago
What is 5(y-2)-2=2(y+1)-5? Solve for y and show your work please.
Inessa [10]

Answer:

y = 3

Step-by-step explanation:

Let's start with the left side of the equation.

5(y-2)-2= 2(y+1)-5

5y-10-2= 2(y+1)-5

Now let's solve the right side

5y-10-2= 2y+2-5

5y-12= 2y-3

-2y     -2y

3y-12=-3

   +12 +12

3y = 9

3y/3 = 9/3

y = 3

hope this helps!

4 0
3 years ago
Please answer ASAP. The question is down below.
zheka24 [161]

Answer:  1) c    2) a     3) d

<u>Step-by-step explanation:</u>

\cos \theta = \dfrac{adjacent}{hypotenuse}\quad \\\\\\\cos 42.1=\dfrac{4.7}{x}\\\\\\x=\dfrac{4.7}{\cos 42.1}\\\\\\\large\boxed{x=6.33}\\

******************************************************************************************

Reference angle is the angle measurement from the x-axis.  <em>There is no such thing as a negative reference angle.</em>

-183°  is 3° from the x-axis so the reference angle is  \large\boxed{3^o}

*******************************************************************************************

Coterminal means the same angle location after one or more<em> </em>rotations either clockwise or counter-clockwise.

To find these angles, add <em>or subtract</em> 360° from the given angle to find one rotation, add <em>or subtract</em> 2(360°) from the given angle to find two rotations, etc.

To find ALL of the coterminals, add <em>or subtract</em> 360° as many times as the number of rotations.  Rotations can only be integers. In other words, you can only have ± 1, 2, 3, ... rotations. You cannot have a fraction of a rotation.

Given: 203°

Coterminal angles: 203° ± k360°, k ∈ <em>I</em>

<em />

<em />

<em />

7 0
3 years ago
Other questions:
  • Attendance at a science fair for the last year was 8 years was 86,72,98,106,112,65,and 96.The science coordinator says that the
    8·1 answer
  • Mathews usually makes the 100 km journey to visit his family. The trip involves three separate stages:
    9·1 answer
  • Jesse borrowed $16,000 to purchase a new car. He borrowed the money from his local bank by taking out a loan that he would need
    8·1 answer
  • Which measurements, rounded to the nearest tenths of a yard, are the unknown lengths in the figure shown? (Select all that apply
    10·1 answer
  • In a survey 1500 people , 775 of them like nepal idol , 975 like comedy chapion and 450 people like both the showes how many peo
    8·1 answer
  • Help asap please!! I will mark you as brainliest :)
    11·2 answers
  • 13/5 ÷ 4/5 = ??????????​
    13·1 answer
  • A study found that there is no direct relationship between the time that 8th-grade students spend brushing their teeth and their
    5·2 answers
  • 19​% adults favor the use of unmanned drones by police agencies. Twelve U.S. Adults are randomly selected. Find the probability
    7·1 answer
  • Lucia walks 2/4 miles on Monday. on Tuesday, she walks 1 1/2 times farther. How far did Lucia walk on Tuesday?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!