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
bogdanovich [222]
2 years ago
10

One side of triangle is 5 more than 3 times the shortest side. The third side is 24 feet more than the shortest side. The perime

ter is 114 . Find all three sides.
Mathematics
1 answer:
Feliz [49]2 years ago
3 0

Answer:

17, 56, 41,

Step-by-step explanation:

"third side is 24 more than shortest side"

Let a be the shortest side.

c = a+24

"perimeter is 114"

a+b+c = 114

a+b+(a+24) = 114

2a + b = 90

"one side is 5 more than 3 times the shortest side"

That side must be b; c is an extraneous solution.

b = 3a+5

2a+(3a+5) = 90

a = 17

b = 56

c = 41

(a,b,c) = (17,56,41)

You might be interested in
A division of the Gibson Corporation manufactures bicycle pumps. Each pump sells for $10, and the variable cost of producing eac
svlad2 [7]

Answer:

12,500 units

Step-by-step explanation:

Given:

Selling cost of the pump = $10

Variable cost of producing each unit = 60% of selling cost

or

Variable cost of producing each unit  = 0.60 × $10 = $6

Monthly fixed cost = $50,000

Now,

The profit per unit = Selling cost - Variable cost

or

The profit per unit = $10 - $6 = $4

Therefore,

The breakeven point = \frac{\textup{Fixed cost}}{\textup{Profit per unit}}

or

the breakeven point = \frac{\textup{50,000}}{\textup{4}}

or

the breakeven point = 12,500 units

8 0
3 years ago
What is the slope of the line?
vladimir1956 [14]

Answer:

8

Step-by-step explanation:

exponential growth

5 0
2 years ago
I REALLY NEED HELP ASAP<3 :)If the answer is not a whole number, it should be entered as a decimal rounded to the hundredths
Degger [83]
If her hourly rate stays the same, how many hours would she have<span> to work to earn $217 next week? ... She wants to enlarge the </span>photograph<span> so that its </span>width<span> is 10 in. ... Cross-Multiply: (4)(x)=(6)(10); Simplify: 4x=60; Divide both sides by 4 to find the height of the </span>new photograph<span>: \frac{4x}{4}=\frac{60}{4. Answer: 15 </span>inches<span> .</span>
8 0
3 years ago
HELP PLEASE ASAP<br><br><br> Solve for x in the diagram below
Leni [432]

Answer:

29

Step-by-step explanation:

(x+12) + 100 + x = 180

           2x + 112 = 180

Subtract 112 from both sides

                    2x = 58

Divide 2 from both sides

                      x = 29

3 0
3 years ago
HEY GUYS I NEED HELP WIT THIS PLZ HELP ME??!! 20 points!!
Otrada [13]

Answer:

The equation for area of a triangle is height multiplied by the base length, divided by 2. So, if the height is 2, and the base is 4, then you multiply the two together, making 8, and then divide it by 2, making the final area 4. So if the dimensions are doubled, then the equation would be 4 times 8 divided by 2. Which is 16. If we do this again with 16 times 8, we will get 128, which when divided by two is 64. This is 4 times 16, just as 16 is 4 times the original answer 4. This means that every time you double the dimensions you will get the original answer multiplied by 4.

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • 1.63 in simplest form
    6·1 answer
  • A weed called the boomstar vine is known for growing at a very fast rate. It can grow up to 0.5 feet per day. A. How fast in inc
    12·1 answer
  • How many cups are in 4 quarts 1 pint
    6·1 answer
  • Plot the intercept x+5y=5​
    13·2 answers
  • Count one of four equal parts
    9·1 answer
  • A line with a negative slope and a negative
    8·1 answer
  • HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!
    12·2 answers
  • What is the answer the file at the bottom
    7·2 answers
  • 5x – 3y = 24<br><br>What is the Slope and Y Intercept?​
    15·2 answers
  • 1/2(10x +5) what is the value of the expression when x=1.4
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!