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
STatiana [176]
3 years ago
5

PLEASE HELP!! URGENT

Mathematics
1 answer:
Slav-nsk [51]3 years ago
6 0

1. The problem statement tells you to find "the area of the hexagonal face".

2. If we assume the intent is to find the shaded area of the face only, it differs from the area of a regular hexagon in that there is a hole in the middle.

3. You must find the area of the regular hexagon, and subtract the area of the circular hole in the middle.

4. The formula for the area of a circle in terms of its radius is

... A = πr²

5. The formula for the area of a regular hexagon in terms of the radius of the circumcircle is

... A = (3√3)/2·r²

6. The radius of the circumcircle of the regular hexagon is given. No additional information is needed.

7. You can use the trig functions of the angles of an equilateral triangle to find the apothem, but there is no need for that when you use the formula of 5.

8. All this is unnecessary. The apothem is (8 mm)·(√3)/2 = 4√3 mm ≈ 6.9282 mm, the shorter leg is (8 mm)·(1/2) = 4 mm. The perimeter is 6·8 mm = 48 mm.

9. The area of the hexagon is

... A = 3√3/2·(8 mm)² = 96√3 mm² ≈ 166.277 mm²

10. The area of the circle is

... A = π·(4 mm)² = 16π mm² ≈ 50.265 mm²

11. The area of the hexagonal face is approximately ...

... 166.277 mm² - 50.265 mm² = 116.01 mm²

You might be interested in
Radius question <br><br> * answers listed on pic but I just need a step by step explanation *
Rama09 [41]

Step-by-step explanation:

Let A(x) be the area function of given rectangle.

Radius of circle = 7x

Therefore, length of rectangle = 14x

Width of rectangle = 7x

\therefore \: A(x) =l\times w \\  =  14x   \times  {(7x)} \\ =98x^2 \\  \huge \red{ \boxed{ \therefore \: A(x) =98 {x}^{2} }}

Let P(x) be the Perimeter function of given rectangle.

P(x) =2(l + w) \\= 2(14x + 7x)\\=2\times 21x\\= 42x\\\huge \red{ \boxed{ \therefore \:P(x)= 42x}}

3 0
3 years ago
Read 2 more answers
Turn this into a equation the sum of twice r and three timea s is identical to thirteen
Goryan [66]
In equation form it would be the following:

2r + 3s = 13.

I believe.
5 0
3 years ago
X % of $5 = $4<br><br> Please help
ASHA 777 [7]
Answer: 80%

Explanation 4/5=.8
4 0
3 years ago
GreenBeam Ltd. claims that its compact fluorescent bulbs average no more than 3.24 mg of mercury. A sample of 25 bulbs shows a m
amm1812

Answer:

Null hypothesis:\mu \leq 3.24  

Alternative hypothesis:\mu > 3.24  

Step-by-step explanation:

1) Previous concepts  and data given

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

A right tailed test (sometimes called an upper test) is when the alternative hypothesis statement contains a greater than (>) symbol.

\bar X=3.29 represent the sample mean  

s represent the sample standard deviation

n represent the sample selected

\alpha significance level  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean for fluorescent bulbs is no more than 3.24 mg of mercury, the system of hypothesis would be:  

Null hypothesis:\mu \leq 3.24  

Alternative hypothesis:\mu > 3.24  

IIf we know the population deviation we can apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

3 0
3 years ago
Joy and Peter were each walking along a straight road. Joy walked 1800 meters in 1/3 hour. Peter walked 1/2 of joy's distance in
riadik2000 [5.3K]
The answer is 3 because it says how much joy walked and not Peter , you’re trying to figure out what’s peters average walking speed
8 0
3 years ago
Other questions:
  • What is the 8th term of this geometric sequence 3 6 12 24
    6·1 answer
  • Jerry bought 4.2 lbs of jelly beans for $3.98 per lb. Sales tax is 6%. What was the total amount Jerry paid for the jelly beans?
    5·1 answer
  • 3.An increasing linear function with independent variable x and dependent variable y approaches the point (−1, 1). If this funct
    5·1 answer
  • If Yvonne wanted to make 3 dresses that use 4 7/8 yd of fabric each, explain how she could use estimation to make sure she has e
    14·2 answers
  • What does four x plus five equal to?
    11·1 answer
  • george completed 3/5th of work in 9 days with the help of paul he completes remaining work in 4 days.In how many days paul alone
    15·1 answer
  • Someone please help with this question
    13·2 answers
  • PLEASE HELP HURRY!!!!!!!!!!!!!!!!!!!!!
    12·1 answer
  • Which of the following properties would you use to solve 3r≤16 for r?
    13·1 answer
  • The Carter family just left the local pet store with Rex, their new family dog. The pet store owner told the Carter family that
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!