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
Korvikt [17]
4 years ago
15

PLEASE HELP - Find the area of a regular octagon with a side length of 5 cm. Round to the nearest tenth. (Please explain in full

detail the process, im trying to learn how to do these) thank you!!

Mathematics
2 answers:
alexandr1967 [171]4 years ago
7 0

Answer:

120.7

Step-by-step explanation:

The formula for finding the area of a regular octagon is: A = 2(1+\sqrt{2})a^{2}.

Using the formula I got 120.7(rounded).

Vinil7 [7]4 years ago
3 0

Answer: 482.8 sq cm

Step-by-step explanation:

The octagon is 8 isosceles triangles.  Each has common side r and base 10.  The central angle is 360/8 = 45°.  By the Law of cosines,

10² = r² + r² - 2 r² cos 45° = 2r²(1 - √2/2) = r²(2-√2)

r² = 100/(2-√2)

The area of a triangle with sides a,b and included angle C is (1/2)ab sin C. Our 8 octagon isosceles triangles each have sides r and r and included angle 45° so our total area, 8 triangles, is

A = 8(1/2) r² sin 45° = (400/(2-√2)) (√2/2) × (2+√2)/(2+√2) = 200(1+√2)

A ≈482.84271

Answer: 482.8 sq cm

You might be interested in
Help, I'm confused so much. Front end estimation
Ede4ka [16]

Answer:

600

Step-by-step explanation:

if you round 592 by 10 or 100 it will be 600

7 0
2 years ago
Read 2 more answers
A spinner with 4 colors is spun for a total of 50 trials. Yellow was selected 10 times. What is the experimental probability of
kicyunya [14]
The probability of the outcome of the color/ Divided by the total of how many colors there are.

in this case there is one yellow, but it may very well be smaller than the other colors so it does not have the probability of 1/4, unless they tell you that all the color sizes are equal.

so now, instead,we shall base it off of the Trial Numbers. Which would be 10/50, which can be reduced to 1/5. :)

Good Luck!
(But please ask your teacher or mentor if this is correct.)

7 0
3 years ago
Read 2 more answers
Pilates is a popular set of exercises for the treatment of individuals with lower back pain. The method has six basic principles
mariarad [96]

Answer:

p_v =P(z>2.087) =0.0184

So with the p value obtained and using the significance level given \alpha=0.01 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 1% of significance the mean for the control group it's not significantly higher than the mean of the treatment group by 1 point.  

Step-by-step explanation:

When we have two independent samples from two normal distributions with equal variances we are assuming that  

\sigma^2_1 =\sigma^2_2 =\sigma^2

\sigma=2.5

And the statistic is given by this formula:

z=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{\sigma\sqrt{\frac{1}{n_1}}+\frac{1}{n_2}}

Where z follows a normal standard distribution

The system of hypothesis on this case are:

Null hypothesis: \mu_c \leq \mu_t+1

Alternative hypothesis: \mu_c >\mu_t+1

Or equivalently:

Null hypothesis: \mu_c - \mu_t \leq 1

Alternative hypothesis: \mu_c-\mu_t>1

Our notation on this case :

n_c =45 represent the sample size for group control

n_t =45 represent the sample size for group  treatment

\bar X_c =5.2 represent the sample mean for the group control

\bar X_t =3.1 represent the sample mean for the group treatment

And now we can calculate the statistic:

z=\frac{(5.2-3.1)-(1)}{2.5\sqrt{\frac{1}{45}}+\frac{1}{45}}=2.087  

And now we can calculate the p value using the alternative hypothesis:

p_v =P(z>2.087) =0.0184

So with the p value obtained and using the significance level given \alpha=0.01 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 1% of significance the mean for the control group it's not significantly higher than the mean of the treatment group by 1 point.  

5 0
3 years ago
The quotient of 24 and a number is 6.
drek231 [11]
The answer is 4
Quotient means divide
24/4 = 6
Hope that  helps. Bye
7 0
4 years ago
Read 2 more answers
Help help help help math math
Juliette [100K]

Answer:

5

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • The graph of f’ is shown above. The points (2,6)(2,6) and (4,18)(4,18)are on the graph of f. Which of the following is an equati
    12·1 answer
  • Write a linear equation that goes through the points (0,4) and (4,10). A. y =3⁄2x + 4 B. y =3⁄2x – 4 C. y =2⁄3x – 4 D. y =2⁄3x +
    15·1 answer
  • How would 3,050,000 be expressed in scientific notation?
    15·2 answers
  • Find the distance between the two points on the graph.
    9·1 answer
  • What is the greatest common factor of 15 and 20
    15·2 answers
  • 10/3 = x/ (-5/2) what does x equal
    14·1 answer
  • There are 18 gallons of water in the tank. The tank is 3/4 full. How many gallons of water g can the tank hold
    7·2 answers
  • A bus carry 53 passengar on a trif. how many passenger can 9 such carry if each dose 2 trif
    10·1 answer
  • Jaylen has a pet grooming business. In 2018, he groomed 200 dogs. In 2019, he groomed 450 dogs. What was the percent increase in
    13·1 answer
  • The star shape is made from a regular hexagon and six congruent equilateral triangles The area of the star shape is 96cm squared
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!