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
alexandr402 [8]
3 years ago
11

One of the base angles of an isosceles triangle measures 68.6°. The base of the triangle measures 12 centimeters. What is the pe

rimeter of the triangle? Round intermediate results to 3 decimal places and the final answer to 1 decimal place.
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
4 0

Answer:

44.9 centimeters

Step-by-step explanation:

We're looking for the perimeter, but we only know 1 side; we need to know all three. First, let's figure out what a is with this equation: a = √h² + (c/2)². Substitute h for 15.31 and c for 12.

a = √15.31² + (12/2)²

<em>Step 1: Divide 12 by 2 to get 6.</em>

a = √15.31² + 6²

<em>Step 2a: The square of 15.31 is 234.3961. For convenience, I'll round this to 234.396.</em>

a = √234.396 + 6²

<em>Step 2b: The square of 6 is 36.</em>

a = √234.396 + 36

<em>Step 3: Add 234.396 and 36 to get 270.396.</em>

a = √270.396

<em>Step 4: The square root of 270.396 is 16.4437222. For convenience, I'll round this to 16.444.</em>

a = 16.444

<em>Note: This value is the same for side b, since this is an </em><em>isosceles</em><em> triangle.</em>

Now, all we need to do is add 16.444 (twice) and 12 to get our perimeter.

(16.444 * 2) + 12

<em>Step 5: Multiply 16.444 by 2 to get 32.888.</em>

32.888 + 12

<em>Step 6: Add 32.888 to 12 to get 44.888.</em>

44.888

<em>Step 7: Now the answer above is the actual answer, but we need to round it to one decimal place. 8 is greater than 5, so this rounds up to 44.9.</em>

The perimeter of this triangle is 44.9 centimeters.

You might be interested in
Odell Gleaves delivers Danberry Real Estate calendars to town residents after
disa [49]

Answer: $4.34

Step-by-step explanation:

Mon: 0.6x100= 60 cents

Tue: 0.6x130= 78 cents

Wed: 0.6x145= 87 cents

Thurs: 0.6x138= 82.8 cents

Fri: 0.6x210= 126 cents

60+78+87+82.8+126= 433.8 cents

There are 100 cents in a dollar

4.33.8 cents, so 4.34 if you round up (if the last number is five or greater round up)

4 0
3 years ago
Factor out the coefficient of the variable. 4h-3
Tomtit [17]
Sent a pic of the solution (s). When it asked to factor out the coefficient of the variable just divide both numbers by the coefficient, and present it on the outside like I showed you.

6 0
3 years ago
A square has an area of approximately 750 square feet. Which of the following would be the most reasonable estimate of the lengt
qwelly [4]

Answer:

c

Step-by-step explanation:

hi yeeeeeeeeeeeeeeeeeettttttttttttt

5 0
3 years ago
Read 2 more answers
Briefly describe what the symbol mu represents. Choose the correct answer below.A.The symbol mu is a variable that represents th
antoniya [11.8K]

The question is incomplete! The complete question along with answer and explanation is provided below.

Question:

In applying the Poisson probability distribution​ formula, ​P(x) equals  μx•e−μx!

Briefly describe what the symbol mu represents. Choose the correct answer below.A.The symbol mu is a variable that represents the area of each region.B.The symbol mu is a variable that represents the number of occurrences of the event in an interval.C.The symbol mu is a variable that represents the number of occurrences of the event.D.The symbol mu represents a static value.E.The symbol mu is a variable that represents the mean number of occurrences of the event in the intervals.

Answer:

μ is a variable that represents the mean number of occurrences of the event in the intervals.

Step-by-step explanation:

The Poisson distribution is often used to model the number of occurrences of an event in a certain interval.

P(x, μ)

Where the symbol mu (μ) represents the mean number of occurrences of an event x in a specified interval and the variable x represents a static value.

Therefore, the correct answer is option E, μ is a variable that represents the mean number of occurrences of the event in the intervals.

4 0
3 years ago
Solve the question on the image ​
Nataly [62]
Times the whole equation by 15 since the LCM of 3 and 5 is 15.
You get: 5p-3p-6= 60
Rearrange to get: 2p=66
p=33
5 0
2 years ago
Other questions:
  • What is the image of N for a 300 degree counterclockwise rotation about the center of the regular hexagon?
    11·2 answers
  • This is not a graded question
    6·1 answer
  • A paper boy delivers thirteen papers to an apartment complex. If these deliveries compose one-seventh of his route, how many pap
    5·1 answer
  • 6(2 + x) = 12 + 6x illustrates the
    12·2 answers
  • What theorem do we use to solve for a side of a right triangle?
    7·2 answers
  • Which expression do you get when you eliminate
    12·2 answers
  • It rained 0.8 inches on Monday. On Tuesday, it rained 0.34 inches less than on Monday. How much did it rain on Tuesday?
    5·1 answer
  • Subtract and simplify: 3x(5x + 2) – 2(x2 + x – 1)
    12·1 answer
  • 2, -3, -8, -13, -18,
    11·1 answer
  • Q: Out of 20 attempts a basketball player scored 8 times. What percent of
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!