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
ICE Princess25 [194]
3 years ago
7

The area of a triangle is 12 in.^2 . The base of the triangle measures 2 in. more than twice the height of the triangle. Find th

e measures of the base and height.
Mathematics
1 answer:
Pani-rosa [81]3 years ago
6 0

Answer:

  base = 8 in; height = 3 in

Step-by-step explanation:

Let h stand for the height of the triangle. Then 2h+2 will be the base length, and the area is ...

  A = 1/2bh

  12 = 1/2(2h+2)(h) = (h+1)(h)

We know that factors of 12 that differ by 1 are 4 and 3, so we conclude ...

  h = 3

  2h+2 = 8

Both dimensions are in inches.

_____

<em>Comment on the solution</em>

If you work through the solution of the quadratic, you find solutions are ...

  h = -4, h = 3

That is, the pairs (-4, -3) and (3, 4) are both pairs of (h, h+1) that have a product of 12.

The negative solution is extraneous.

You might be interested in
Latavia purchased adult and child tickets for the fall festival. Tickets cost $14.88 for each adult and $8.88 for each child. Le
nika2105 [10]

Answer:

14.88x + 8.88y =

Step-by-step explanation:

This may be wrong but I think it’s this

3 0
3 years ago
Read 2 more answers
4
Dennis_Churaev [7]

Answer:50 cents. $5

Step-by-step explanation: each pound of sugar costs 50 cents. you can find that out by dividing the amount of sugar you have by the cost.

3 0
3 years ago
Read 2 more answers
A hose fills a hot tub at a rate of 3.13 gallons per minute. How many hours will it take to fill a 255-gallon hot tub?
GalinKa [24]

Answer:

about 1.4 hours

Step-by-step explanation:

3.13 gallons per minute.

60 minutes in an hour, so multiply both numbers by 60.

187.8 gallons per hour.

Divide the number of gallons we need to fill the tub the number of gallons put in per hour.

255÷187.8=1.375...

Round it, you get 1.4 hours.

It takes about 1.4 hours to fill the hot tub.

6 0
3 years ago
The monthly fees for the local pool are $8 per month
Liono4ka [1.6K]

Given:

Monthly fees for the local pool are $8 per month  and $2 per visit.

Hector pays $34 in pool fees total for  the month.

To find:

The number of times he visit the pool.

Solution:

We have,

Monthly fee of pool = $8

Additional fee = $2 per visit

Let Hector visit x times.

Additional fee for x times = $2x

Total fee = Monthly fee + Additional fee

34=8+2x

34-8=2x

26=2x

Divide both sides by 2.

\dfrac{26}{2}=x

13=x

Therefore, Hector visit the pool 13 times.

3 0
3 years ago
Need answers ASSAP
ollegr [7]
Data:
r (radius) = 3.5 in
h (height) = 8 in
Adopt: \pi \approx3.14
V (volume) = ?
Ink cost per cubic inch = $0.05/in³
Total cost: ?

<span>Calculate the volume of the paint bucket (its formed being cylindrical), we have:
</span>V =  \pi *r^2*h 
V = 3.14 *3.5^2*8 
V = 3.14*12.25*8
\boxed{V = 307.72\:in^3}

<span>What was the total cost of the paint?

</span>price($)___measure(in³)
0.05 ---------- 1
y -------------- 307.72

It is made the rule of three: (<span>directly proportional)
</span>
\frac{0.05}{y} = \frac{1}{307.72}
multiply cross
1*y = 0.05*307.72
y = 15.386\:\to\:\boxed{\boxed{y\approx\$15}}\end{array}}\qquad\quad\checkmark

Answer:
<span>the total cost of the paint is $15</span>
7 0
3 years ago
Other questions:
  • Solve it (2⋅3) ^2−5 ^2=
    5·2 answers
  • The top of a 15-foot ladder leans against a wall, and the bottom of the ladder slides away from the wall at a rate of 4 ft/sec.
    13·1 answer
  • HELP FASTT
    5·2 answers
  • A food chemist salary is between 50000 to 100000 what is the median salary of this job
    6·2 answers
  • The number of miles Carina drove each day last week is shown below:
    9·1 answer
  • Joel is laying pipe for a sprinkler system before he plants his lawn. The lawn is a rectangle, 15 feet long and 8 feet wide. He
    10·2 answers
  • Tim drove 4 hours at an average speed of 60 miles per hour. How many hours would it take Tim to drive the same distance at an av
    11·1 answer
  • Solve the system: 4x - y = 5 x + 2y = 8
    5·2 answers
  • Help me to do b no question ​
    7·2 answers
  • Whats the next two terms in order are p+q, p , p-q
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!