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
ollegr [7]
2 years ago
6

given a triangle with a perimeter of 56in. we know the first side is 3 inches less than twice the length of the second side, and

the third side is 10 inches more than half the length of the second side. if the second side length is h, how long is the longest side? write an equation to solve for the variable.
Mathematics
1 answer:
erica [24]2 years ago
6 0

Answer:

Side A = 25 in

Side B = 14 in

Side C = 17 in

Step-by-step explanation:

Perimeter of a triangle = 56 in

Side B = x

Side A = 2x - 3

Side C = 1/2x + 10

Perimeter of a triangle = side A + Side B + side C

56 = (2x -3) + x + (1/2x + 10)

56 = 2x - 3 + x + 1/2x + 10

56 + 3 - 10 = 2x + x + 1/2x

49 = 3 1/2x

Note: 3 1/2x = 3.5x

49 = 3.5x

x = 49/3.5

x = 14 in

Side B = x = 14 in

Side A = 2x - 3

= 2(14) - 3

= 28 - 3

= 25 in

Side C = 1/2x + 10

= 1/2(14) + 10

= 7 + 10

= 17 in

You might be interested in
Please answer this correctly if you can. No Links. Thank you
Semmy [17]

Answer:

y=x+3

(0,3)(1,4)

y=x+2

(0,2)(1,3)

Step-by-step explanation:

- For Y=X+3 it could be any point for Y as long as X is 3 less than Y.

- For Y=X+3 it could be any point for X and long as Y is 3 more than X.

- For Y=X+2 it could be any point for Y as long as X is 2 less than Y.

- For Y=X+2 it could be any point for X and long as Y is 2 more than X.

4 0
3 years ago
Read 2 more answers
Dean works 47.75 hours in one week. He is paid hourly at a rate of $16.50. What is Dean’s total pay for the week? Round your ans
Rus_ich [418]

787.90...............................i think

7 0
3 years ago
Read 2 more answers
What would be the equation to you have a part time job. You work for 3h on Friday and 6h on Saturday. You also recieve an allowa
HACTEHA [7]

Answer:

Step-by-step explanation:

So, to go about your question, we must first ask, how many hours a week is being worked?

In this problem, that is 9 hours per week.

Next, we must question how much per week is made

That is $92 per week

Finally, we must determine if the allowance is occuring many times in the week or just once.

In this problem, that is only occuring once for the week.

So, the equation we must setup is 9x +20 =92.

To solve the equation, we need to subtract 20 on both sides to isolate the variable, x.

9x+20=92

     -20     -20

Now our equation is

9x=72

Now, to finally get x by itself or to isolate x, you should divide 9 on both sides to cancel out the 9 being multiplied by the x.

<u>9x</u>=<u>72</u>

9     9

x=8 because of 72/9 is equal to 8.

I hope this helps, and I will answer any questions you have.

5 0
2 years ago
√48a^4 b^5 c^3 d simplify and keep it in radical form
Morgarella [4.7K]
I will assume the square root extends all the way across.

\sqrt{48a^4b^5c^3}

\sqrt{2^4\cdot3\cdot a^4b^5c^3}

\sqrt{(2^2)^2\cdot3\cdot(a^2)^2\cdot(b^2)^2\cdot b\cdot c^2\cdot c}

\sqrt{(4)^2\cdot3\cdot(a^2)^2\cdot(b^2)^2\cdot b\cdot c^2\cdot c}

\sqrt{(4\cdot a^2 \cdot b^2 \cdot c)^2\cdot3\cdot b\cdot c}

4\cdot a^2\cdot b^2\cdot c\sqrt{3\cdot b\cdot c}

\boxed{4a^2b^2c\sqrt{3bc}}






3 0
3 years ago
Paul owns a mobile wood-fired pizza oven operation. A couple of his clients complained about his dough at a recent catering, so
Makovka662 [10]

Answer: B. Do not reject H0, we cannot conclude the proportion of customer complaints is more for the old dough

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the old and the new dough players. The population proportions of customer complaints with the old and new dough would be p1 and p2

P1 - P2 = difference in the proportion of customer complaints with the old and new dough.

The null hypothesis is

H0 : p1 ≥ p2

pm - pw ≥ 0

The alternative hypothesis is

Ha : p1 < p2

p1 - p2 < 0

it is a left tailed test

Sample proportion = x/n

Where

x represents number of success(number of complaints)

n represents number of samples

For old dough

x1 = 6

n1 = 385

P1 = 6/385 = 0.016

For new dough,

x2 = 16

n2 = 340

P2 = 16/340 = 0.047

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (6 + 16)/(385 + 340) = 0.03

1 - pc = 1 - 0.03 = 0.97

z = (Pm - Pw)/√pc(1 - pc)(1/nm + 1/nw)

z = (0.016 - 0.047)/√(0.03)(0.97)(1/385 + 1/340) = - 0.031/√0.00553857907

z = - 0.42

Since it is a left tailed test, we would find the p value for the area to the left of the z score. From the normal distribution table,

p value = 0.337

For a 95% confidence level, the significant level, alpha is

1 - 0.95 = 0.05

Since 0.05 < 0.337, we would accept the null hypothesis

Therefore, Do not reject H0, we cannot conclude the proportion of customer complaints is more for the old dough

7 0
3 years ago
Other questions:
  • What time does Timothy wake up if he arrives at school at 7:35 A.M.?
    14·2 answers
  • Find the -8+(25) what is the answer
    14·1 answer
  • How much canvas is needed to cover the bottom of a tent if the center pole is 7ft from the edge?
    11·1 answer
  • A=4/0,02<br> b=1/2<br> c=2/0,1<br><br> a+b<br><br> a.b/c+a
    8·1 answer
  • A small island in the middle of a river is eroding away. Each year, the island has 85% of the area from the previous year. After
    10·1 answer
  • Someone explain this equation plz
    8·1 answer
  • Please write your answer below !!!
    8·1 answer
  • Which statement is true for the equation 4x – 4x – 5 = –5? (5 points) It has no solution. It has one solution. It has two soluti
    6·1 answer
  • Is negative square root of 1 a irrational number
    9·2 answers
  • The history of pi and it’s importance to geometry!!!!!!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!