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
Pie
2 years ago
9

A rectangle is 3 times as long as it is wide. the perimeter is 16 feet. find the dimensions ​

Mathematics
1 answer:
astraxan [27]2 years ago
6 0

Answer:

Width = 2 feet

Length = 6 feet

Explanation:

Variables:

Perimeter = p

Length = l

Width = w

Equation:

2w + 2l = p

It is given that:

l = 3w

and

p = 16 feet

With this information, we can rewrite the equation (substitute)

2w + 2(3w) = 16

Simplify

2w + 6w = 16

Add

8w = 16

Divide both sides of the equation by 8

Width = 2 feet

Length = 3(w) = 3(2) = 6 feet

Hope this helps :)

You might be interested in
Need Help
grigory [225]
<h3>Answer:  Approximately 191 bees</h3>

================================================

Work Shown:

One way to express exponential form is to use

y = a*b^x

where 'a' is the initial value and 'b' is linked to the growth rate.

Since we're told 34 bees are there initially, we know a = 34.

Then after 4 days, we have 48 bees. So we can say,

y = a*b^x

y = 34*b^x

48 = 34*b^4

48/34 = b^4

24/17 = b^4

b^4 = 24/17

b = (24/17)^(1/4)

b = 1.090035

Which is approximate.

The function updates to

y = a*b^x

y = 34*(1.090035)^x

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

As a way to check to see if we have the right function, plug in x = 0 and we find:

y = 34*(1.090035)^x

y = 34*(1.090035)^0

y = 34*(1)

y = 34

So there are 34 bees on day 0, ie the starting day.

Plug in x = 4

y = 34*(1.090035)^x

y = 34*(1.090035)^4

y = 34*1.4117629

y = 47.9999386

Due to rounding error we don't land on 48 exactly, but we can round to this value.

We see that after 4 days, there are 48 bees.

So we confirmed the correct exponential function.

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

At this point we can find out how many bees there are expected to be after 20 days.

Plug in x = 20 to get

y = 34*(1.090035)^x

y = 34*(1.090035)^20

y = 190.672374978452

Round to the nearest whole number to get 191.

There are expected to be roughly 191 bees on day 20.

4 0
3 years ago
PLEASE HELP!!
erik [133]
2.=c.\\\\2\sin4x\cos4x=2\sin(2\cdot4x)=2\sin8x\\\\Used:\\\sin2\alpha=2\sin\alpha\cos\alpha

1.=b.\\\\\csc x-\sin x=\dfrac{1}{\sin x}-\dfrac{\sin^2x}{\sin x}=\dfrac{1-\sin^2x}{\sin x}=\dfrac{\cos^2x}{\sin x}\\\\=\dfrac{\cos x\cos x}{\sin x}=\cos x\cdot\dfrac{\cos x}{\sin x}=\cos x\cot x\\\\Used:\\\csc x=\dfrac{1}{\sin x}\\\\\sin^2x+\cos^2x=1\to\cos^2x=1-\sin^2x\\\\\cot x=\dfrac{\cos x}{\sin x}

3.=a.\\\\\dfrac{\sin x-1}{\sin x+1}=\dfrac{\sin x-1}{\sin x+1}\cdot\dfrac{\sin x+1}{\sin x+1}=\dfrac{\sin^2x-1^2}{(\sin x+1)^2}=\dfrac{\sin^2x-1}{(\sin x+1)^2}\\\\=\dfrac{-(1-\sin^2x)}{(\sin x+1)^2}=\dfrac{-\cos^2x}{(\sin x+1)^2}\\\\Used:\\(a-b)(a+b)=a^2-b^2\\\\\sin^2x+\cos^2x=1\to \cos^2x=1-\sin^2x
8 0
3 years ago
What is 28 divide by 3
Juli2301 [7.4K]
9.3333333333333333333333..............

or

-
9.33
8 0
3 years ago
Read 2 more answers
Suppose that a "code" consists of 4 digits, none of which is repeated. (A digit is one of the 10 numbers 0, 1, 2, 3, 4, 5, 6, 7,
dalvyx [7]

Answer:

5040

Step-by-step explanation:

8 0
3 years ago
Lee Middle School orders 15 textbooks for every 12 students. The table shows how many textbooks the school orders for certain nu
Mariulka [41]

Answer: 90 textbooks


Step-by-step explanation:

everytime you multiply the number of students you multiply the books by the same number. to find how many times 72 was multiplied you divide it by 12.

72 ÷ 12 = 6

then multiply the original number of books (15) by 6.

15 * 6 = 90

so for every 72 students the school orders 90 textbooks

5 0
3 years ago
Other questions:
  • Mario wants to put a rectangular fence around the pool in his backyard. Since one side is adjacent to the house, he will only ne
    9·2 answers
  • What is the solution set to the inequality 5(x - 2)(x + 4) &gt; 0?
    5·1 answer
  • the price of a new pair of sneakers is $79.95. if sales tax is 7.5%, then approximately, how much tax will be paid on sneakers?
    9·1 answer
  • What is the next letter? Y B W D U F
    12·1 answer
  • Helppppp me with a and b
    13·2 answers
  • Enter the value of 3 over 4
    11·2 answers
  • Is 1.150 and 1.15 the same? (ANSWER QUICKLY)
    5·1 answer
  • Please help me i will give brainlist to anyone who answers please help
    14·1 answer
  • HELP UNTIL 9:15 2mx?x3m=24m3
    11·2 answers
  • Write the equation of a line that<br> goes through the point (-2, 3)<br> with a slope of 2.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!