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
Digiron [165]
2 years ago
15

The perimeter of a triangle garden is 54 feet. Find the length of the three sides if the middle length side is 4 feet greater th

an twice the length of the smallest side, and the longest side is 4 feet less than three times the length of the smallest side.
Mathematics
1 answer:
jeka942 years ago
6 0

9514 1404 393

Answer:

  9 ft, 22 ft, 23 ft

Step-by-step explanation:

Let s represent the length of the shortest side. Then the middle length side is (2s+4) and the longest side is (3s-4). The perimeter is the sum of the side lengths:

  54 = s +(2s +4) +(3s -4)

  54 = 6s . . . . . . . . . . . . . . collect terms

  9 = s . . . . . . . . . . divide by 6

  2s+4 = 2·9 +4 = 22

  3s -4 = 3·9 -4 = 23

The lengths of the three sides are 9 feet, 22 feet, and 23 feet.

You might be interested in
Find the distance traveled by a particle with position (x, y) as t varies in the given time interval. x = 5 sin2 t, y = 5 cos2 t
rodikova [14]
\begin{cases}x(t)=5\sin2t\\y(t)=5\cos2t\end{cases}\implies\begin{cases}\frac{\mathrm dx}{\mathrm dt}=10\cos2t\\\frac{\mathrm dy}{\mathrm dt}=-10\sin2t\end{cases}

The distance traveled by the particle is given by the definite integral

\displaystyle\int_C\mathrm dS=\int_0^{3\pi}\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt

where C is the path of the particle. The distance is then

\displaystyle\int_0^{3\pi}\sqrt{100\cos^22t+100\sin^22t}\,\mathrm dt=10\int_0^{3\pi}\mathrm dt=30\pi
6 0
3 years ago
P and q are points on the line y=2-4X <br><br>Draw the line y= 2-4X for vales of x from -2 to 2
pishuonlain [190]

Answer:

`The answer is below

Step-by-step explanation:

P and q are points on the line y=2-4X. complete the coordinates of P and Q, P(0, ) Q( ,0)

Draw the line y= 2-4X for vales of x from -2 to 2

Solution:

The equation of a line is given by:

y = mx + b

Where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y when x = 0).

The line of y = 2 - 4x is drawn by finding the corresponding values of y for x from -2 to 2 and plotting on a graph.

x:   -2      -1       0        1        2

y:   10      6       2       -2       -6

The value P(0, ) Q( ,0)

The y coordinate of point P is gotten by substituting x = 0:

y = 2 - 4(0) = 2

P = (0, 2)

The x coordinate of point Q is gotten by substituting y = 0:

0 = 2 - 4x

4x = 2

x = 0.5

Q = (0.5, 0)

8 0
2 years ago
Leslie earned $12 Friday, $20 Saturday, and $56 Sunday selling bracelets. If she sold each bracelet for the same amount of money
Amanda [17]

Answer:

$4

Step-by-step explanation:

12÷4=3

20÷4=5

56÷4=14

7 0
2 years ago
If T is the midpoint of SU find the values of x, ST and SU.
Nitella [24]

Answer:  The required values are

x = 12 units, ST = 60 units and SU = 120 units.

Step-by-step explanation:  Given that T is the midpoint of SU, where

ST = 5x  and  TU = 3x + 24.

We are to find the values of x, ST and SU.

Since T is the midpoint of SU, so we get

ST=TU\\\\\Rightarrow 5x=3x+24\\\\\Rightarrow 5x-3x=24\\\\\Rightarrow 2x=24\\\\\Rightarrow x=\dfrac{24}{2}\\\\\Rightarrow x=12.

So, the value of x is 12.

Therefore,

ST=5\times12=60

and

SU=5x+3x+24=8x+24=8\times12+24=96+24=120.

Thus, the required values are

x = 12 units, ST = 60 units and SU = 120 units.

8 0
2 years ago
Read 2 more answers
A air freshener used 3 3/4 milliliter of perfume. If Wendy wanted to make 3 air fresheners, how many milliliter a of perfume wou
kifflom [539]
She would have to use 11 1/4 milliliters of perfume 3 3/4= 15/4 multiply 15/4 by 3/1
15/4 (3/1)= 45/4= 11 1/4
7 0
3 years ago
Other questions:
  • Which term means that you receive a fixed amount of pay for a job on a weekly, bi-weekly, or monthly basis?
    14·1 answer
  • Katie has m dallars. She spends $. How much does she have left? Give your answer in terms of m.
    8·1 answer
  • What is the point-slope form of a line that has a slope of 5 and passes through
    10·1 answer
  • Rachel made a mosaic from different color rectangular tiles. Three tiles measured 312 inches by 3 inches. Six measured 4 inches
    13·2 answers
  • What would the one-month interest be for a $5,000 credit card balance with a 12% APR?
    12·2 answers
  • There is a group of 7 people ordering pizza. If each person gets 4 slices and each pizza has 8 slices, how many pizzas should th
    15·1 answer
  • What are the values of a and b?
    13·1 answer
  • Part B
    14·1 answer
  • Given 2 points find the slope using the slope formula. Show all work.<br> 12-Y<br> me<br> Xzx,
    5·1 answer
  • Help me (question attached)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!