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
serious [3.7K]
3 years ago
7

A billiards table is twice as long as it is wide . If the perimeter of a billiards table is 24 feet , what is the length and wid

th of the table ?
Mathematics
1 answer:
Delicious77 [7]3 years ago
5 0

Answer:

Length=8     Width=4

Step-by-step explanation:

Step 1- make an equation. The equation for perimeter is usually 2l+2w=P, but since the length is twice as long, we'll 2l x 2 =4l. So our equation is

4l + 2w = 24. note that 8+16 = 24

Step 2- Since 16 is 8 x 2, we know that the length is 16 and width is 8. We divide both those numbers because there is 2 lengths and 2 widths.

You might be interested in
Which description of the vector shown is correct ?
BartSMP [9]

Answer:

(B) The magnitude is 7sqrt2, and the direction angle is approximately 135 degrees.

Step-by-step explanation:

From the figure, the coordinate of the tail of the vector,

(x_1,y_1)=(3,-6).

The coordinate of the head of the vector,

(x_2,y_2)=(-4,1).

The magnitude of a vector is the length between the head and tail of the vector.

By using the distance formula,

the magnitude of the vector = \sqrt{(1-(-6))^2+(-4-3)^2}

=\sqrt{(7^2+(-7)^2}\\\\=\sqrt{98}\\\\=7\sqrt{2}

Now, let \theta be the angle made by the vector with the positive direction of the x-axis, so

\tan\theta = \frac{y_2-y_1}{x_2-x_1}\\\\\Rightarrow \tan\theta = \frac{1-(-6)}{-4-3}=\frac{7}{-7}=-1 \\\\\Rightarrow \theta = \tan^{-1}(-1) \\\\\Rightarrow \theta =\pi- \tan^{-1}1 \\\\\Rightarrow \theta = \pi-\frac{\pi}{4} \\\\\Rightarrow \theta =\frac{3\pi}{4} \\\\\Rightarrow \theta = 135 ^{\circ}.

So, the magnitude of the vector is 7\sqrt 2 which makes 135 ^{\circ} with the positive direction of the x-axis.

Hence, option (B) is correct.

8 0
3 years ago
Read 2 more answers
Write a line in slope-intercept form that has a m=4 and b=-2.
Arlecino [84]

the slope-intercept form is y= 4x−2

4 0
2 years ago
John has 8/9 of a gallon of apple cider vinegar. If it takes 1/7 of a gallon of vinegar to make a batch of collard greens, how m
kumpel [21]
1/7 gallon  = 1 batch 

<em>[multiply by 7 through]</em>
1 gallon = 7 batches

<em>[multiply by 8/9 through]</em>
8/9 gallon = 7 x 8/9
8/9 gallon = 6 2/9 

<em>[Good enough to make 6 batches, not enough to make 7 batches]</em>

So he can make 6 batches of collard green


5 0
2 years ago
A pair of shoes has an original price of $65 but is on sale for a 20 percent discount. What number can you multiply by $65 to ge
Contact [7]

Answer:

0.8

Step-by-step explanation:

20 / 100 = 0.2

1 - 0.2 = 0.8

5 0
3 years ago
Read 2 more answers
Drive Down is a racing video game. The game gives each player an initial amount of $5,000 in virtual money. After that, a player
Sholpan [36]
Independent quantity (x) is number of races won
dependent quantity f(x)...or y is total virtual money
the function is : f(x) = 500x + 5000 or y = 500x + 5000
3 0
3 years ago
Read 2 more answers
Other questions:
  • Describe polynomial and its type with examples
    12·2 answers
  • (-3 x 10 to the 4th power) x (2 x 10 to the power of -3) RESPOND QUICK PLEASE
    6·1 answer
  • Write the equation in standard form and classify the comic section it defines.
    11·1 answer
  • Expand and simplify (x+5)(x-2)
    5·2 answers
  • Rationalise the denominator
    8·2 answers
  • The pie chart shows the results of a survey on
    14·1 answer
  • PLEASE HELP QUICK!!!
    11·1 answer
  • Christel wants to know what the most popular color at her school is. She surveys 5 boys and 5 girls from each class.
    7·2 answers
  • What is 9 percent of 397? And rate my dog 1/100 her name is Sophie, Soph for short!
    14·1 answer
  • Difference of two numbers is 19. If the smaller number is 18, find the greater<br> number.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!