In the regular pentagon below, the radius is _____, apothem is____, and the side length is______.
Answers
Answer:
radius = 6
apothem = 4.85
side length = 7.05
Step-by-step explanation:
sin 36 =x/6, x= 3.53, side length = 7.05
cos 36 = apothem/6, apothem = 4.85
Therefore, the values of the pentagon is the radius is 6, apothem=4.8 and the side length =3.48.
What is the pentagon?A pentagon is one of the many types of polygon having five sides and five angles. The word 'Pentagon' arises from two words, that are, ‘Penta’ and ‘Gonia,’ meaning five angles.
Let x be the side length of the pentagon.
As per the given information;
Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.
Sin(36) = x / 6
x = 6 × sin(36)
side length x = 6 × (0.58)
side length x = 3.48
And
cos(36) = apothem / 6
Apothem = 6 cos36
Apothem = 6 (0.80)
Apothem = 4.8
Hence, the radius is 6, apothem=4.8 and the side length x=3.48.
To know more about the pentagon;
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Related Questions
please help me asap!!!
Answers
Answer:
Already answered it
Step-by-step explanation:
Jason ran 2 3/4 miles in 2/5 of an hour. How far can jason run in one hour
Answers
Answer:
6 7/8 miles per hour
Step-by-step explanation:
2 3/4 ÷ 2/5
change mixed number into improper fraction; 2 3/4 = 11/4
when dividing fractions, multiply by the reciprocal of the second fraction
11/4 ÷ 2/5 = 11/4 · 5/2 = 55/8 or 6 7/8 mph
How does the distance of the mouse change every 2 seconds? 0) Every 2 seconds, the distance the mouse travels i___ by __ feet.
Time|. 0|2|4|6
Distance|0|22|44|66
There's the graph please help
Answers
Answer:
22 feet (if the distance is in feet, and the time in seconds)
Step-by-step explanation:
t = time
d = distance
To see if the mouse's distance is proportional to the time, you divide the distance with the time:
[tex]t_{3}[/tex] = 4
[tex]d_{3}[/tex] = 44
44 / 4 = 11
[tex]t_{4}[/tex] = 6
[tex]d_{4}[/tex] = 66
66 / 6 = 11 (the same as with 44 / 4. This means that the mouse distance and time is proportional)
Every second the mouse travels 11 feet.
And every other second the mouse travels 22 feet. (since (1, 11)*2 = (2, 22))
That may have been confusing, and if you have any questions, don't be afraid to ask them in the comments below!
Have a good day!
Answer:
increases by 22
3,6,2,9 use each digit once,make the smallest 4digit number
Answers
Answer:
2369
Step-by-step explanation:
A circle has a radius of 3.5. What is the circumference? Use 3.14 for Pi.
Answers
Answer:21.98
Step-by-step explanation:
It is because the formula for the circumference of a circle is 2 x 3.14 x r so I do the 2 x 3.14 and I get the 6.28 and then 6.28 x 3.5(radius) is 21.98.
Help&EXPLAIN
Don’t use for points or I’ll take it back and u will be reported
Answers
Answer:
103
Step-by-step explanation:
Every straight line's angle measurement is 180 degrees, so if one angle is 77 degrees, the other must be 103 degrees to equal 180. (77+103=180)
Hope this helps!
math problemmmmm
—————————-
Answers
Answer:
The answer to your question is x = 4
x=4
Step-by-step explanation:
To start figuring this out, you need to combine like terms.
To start, you can combine all terms containing the variable x, which is 2x and 3x. This would then make the equation 5x+7-2=25.
You then need to combing the singular numbers, 7 and -2. Doing this brings the equation to 5x+5=25.
From here, subtract 5 from both sides to get you 5x=20.
Finally, you divide both sides by 5 to get you x=4.
I hope this helped!! Let me know if you need any further help!
please answer correctly it’s urgent!!
Answers
Answer:
Perimeter: 26 units
Area: 36 units
Step-by-step explanation:
EH = 4 units
HG = 9 units
GF = 4 units
FE = 9 units
Add them all up to find the perimeter
4 + 4 + 9 + 9 = 26
Then multiply the side by length to get the area
4 * 9 = 36
Is the following number rational or irrational?
0.7
Choose 1 answer:
A
Rational
B
Irrational
Answers
Answer:
it is rational cause it can be turned into a fraction 0.7= 7/10
What’s the best unit to measure the width of a stream.
Answers
Answer:
foot
Step-by-step explanation:
A stream is like a river, but is usually much smaller. Whether river or stream, the foot is the best measure of width.
Find the whole.
140% of ___ is 35
Answers
Answer:
140 percent (calculated percentage %) of what number equals 35? Answer: 25.
Step-by-step explanation:
Answer:4
Step-by-step explanation:
4
help please-
At a sale, coats were sold for $17 each. If the coats originally cost $20 each, what percentage of its original price was a coat sold for?
Answers
Answer:
85
Step-by-step explanation:
Sally pays $50.00 for a meal that costs $38.13. She tells the server to keep the difference as a tip. How much is the tip?
Answers
Answer:
11.87
Step-by-step explanation:
It just subtraction
simplify 9/1/3 and show work. Thank you!
Answers
Answer:
27.
Step-by-step explanation:
9 / 1/3
= 9 * 3/1
= 9 * 3
= 27.
Exact Form: 28 /3
Decimal Form: 9. 333
First keep the denominator how it is.
To get the the numerator multiply the 9 by the denominator which is 3 so you will get 27. Then add the numerator which is 1 to 27 so you will get 28.
So the answer is 28/3 in exact form. To convert it to decimal form you just multiply 28 by 3.
A pack of cinnamon-scented pencils sells for $9.00. What is the sales tax rate if the total cost of the pencils
is $9.27?
The sales tax rate is
Answers
Timmy and Tommy are each earning money to go on a trip for school. In one weekend, Timmy earns a certain amount and tommy earns twice what Timmy earned plus $24. Altogether, they earned $174.
Answers
A study examined the stress amounts of working additional hours. In the study, the researchers investigated the link between weekly hou networking Web site. The Web site's directory was searched for those with "average" nares (e.g. "John Smith", "Sara Jones"). These inc leaving a sample size of 44 respondents. Answer parts (a) through (d).
Identify the experimental units for this study. Choose the correct answer below.
A. Stress levels
B. Weekly hours worked
C. All workers
D. People who used a particular Web site
Answers
Answer:
D) People who used a particular Web site
Step-by-step explanation:
The experimental unit is usually defined as the physical subject which can be assigned randomly to a treatment. It is also defined as the subject for which a researcher is trying to make a conclusion or inference.
Now, in this case, the subject is the number of people that worked weekly hours using the networking website.
what is 99.99/72? Plz help ASAP!
Answers
Answer:
1.38875. Please mark as brainliest.
Step-by-step explanation:
Answer:
1.38875
Step-by-step explanation:
Use a calculator.
99.99/72 = 1.38875
Pls help extra points and mark brainlist
Answers
Gimme dat Brain plz
Answer:
A,B,D
Step-by-step explanation:
Please help
Find the missing part.
y = __ √_ ????
the first blank is a fraction with two numbers on top
Answers
Answer:
Here we have two triangle rectangles, and we want to know the value of y, the shared cathetus between them.
First, we know that one of them has an angle of 60° and the adjacent cathetus to it is a.
The other has an angle of 30° and the adjacent cathetus is b.
In both cases, the opposite cathetus is y.
Now we can recall the relationship:
Tan(a) = (opposite cathetus)/(adjacent cathetus)
Then we can write:
tan(60°) = y/a
tan(30°) = y/b
And we also know that:
a + b = 15
Then we have 3 equations:
tan(60°) = y/a
tan(30°) = y/b
a + b = 15
To solve this, we first need to isolate one variable in one of the equations, i will isolate a in the third equation:
a = 15 - b
Now we can replace it in the first equation to get:
tan(60°) = y/(15 - b)
i will rewrite this one as:
tan(60°)*(15 - b) = y
then our system is:
tan(60°)*(15 - b) = y
tan(30°) = y/b
now we can isolate b in the second equation to get:
b = y/tan(30°)
and then replace it on the other equation to get:
tan(60°)*(15 - y/tan(30°)) = y
Now we can remember that:
tan(60°) = √3
tan(30°) = (√3)/3
Replacing these in our equation we get:
√3*(15 - y/((√3)/3)) = y
we can rewrite this as:
√3*(15 - y*3/√3) = y
then:
(√3)*15 - y*3 = y
(√3)*15 = y + y*3
(√3)*15 = 4*y
(√3)*15/4 = y
then we get:
[tex]y = \frac{15}{4} *\sqrt{3}[/tex]
translate twise the sum of a and b,subtracted from c2 into algebraic symbols.
a.2a+b-c2
b.c2-2(a+b)
c.2(a+b)-c2
d.c2-2ab
Answers
Answer:
c)
Step-by-step explanation:
Can't be b) or d) because you have to substract... from c2, so it's not c2 -... And it has to be c) because in a) you don't have twice the sum of a and b, you only have twice a and than you add b.
So it's c)
A study was conducted to investigate whether a new drug could significantly reduce pan in people with arthritis. From a group of 500 people with arthritis 250 were randomly assigned to receive the drug (group 1) and the remaining people were assigned a placebo (group 2). After one month of treatment, 225 people in group 1 reported pain relief and 150 people in group 2 reported pain relief Let Pe represent the combined (or pooled) sample proportion for the two samples. Have the conditions for inference for testing the difference in population proportions been mel? (A) No. The people in the study were not selected at random (6) (B) No. The number of people in the study was too large compared with the size of the population (C) No. The normality of the sampling distribution cannot be assumed because Pe times each sample size is not sufficiently large (D) No. The normality of the sampling distribution cannot be assumed because I - Pe times each sample size is not sufficiently large 6 (E) Yes. All conditions for inference have been met
Answers
Answer:
(C) No. The normality of the sampling distribution cannot be assumed because Pe times each sample size is not sufficiently large
Step-by-step explanation:
The above happens to be the true statement to the question asked about the new drug study which was carried out just to know its effect with those patients suffering from arthrities.
Elisabeth uses 34,35 ounces of granola for 15 servings of trail mix.
If each serving contains the same amount of granola, how much granola is in each serving
ASAP HELP
Answers
Answer:
2.29 ounces
Step-by-step explanation:
34.35/15=2.29
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 10 child bikes and 12 adult bikes in the week. (2 points) Group of answer choices Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answers
Answer:
like biking
Step-by-step explanation:
u like to bike/
what is the diameter of a circle whose area is 616cm
Answers
Answer:
308cm
Step-by-step explanation:
We know that,
Radius of a circle(r)= diameter/2
So, r= 616/2
i.e 308cm
5.1 Percentage changes
1. In February 2019, 195,676 mortgages were outstanding in the UK, which represented 0.38%
of all mortgages. How many total mortgages were in the UK market at that time?
Answers
Answer:
Rounded to the nearest integer, at that time there were about 51,493,684 mortgages in the UK market.
Step-by-step explanation:
Given that in February 2019, 195,676 mortgages were outstanding in the UK, which represented 0.38% of all mortgages, to determine how many total mortgages were in the UK market at that time the following calculation must be performed:
0.38 = 195.676
100 = X
(100 x 195,676) / 0.38 = X
19,567,600 / 0.38 = X
51,493,684.21 = X
Thus, rounded to the nearest integer, at that time there were about 51,493,684 mortgages in the UK market.
What is the value of x? Enter your answer in the box. x =
Answers
Answer:
x=20
Step-by-step explanation:
3x+50=6x-10
-3x=-60
x=20
[tex]\frac{28}{54} = \frac{2x+8}{5x-4}[/tex]
Answers
Step-by-step explanation:
step 1. what is the question? solve for x? okay.
step 2. 28/54 = (2x+ 8)/(5x - 4)
step 3. 28(5x - 4) = 54(2x + 8) (cross multiplication)
step 4. 14(5x - 4) = 27(2x + 8) (divide both sides by 2)
step 5. 70x - 56 = 54x + 216 (distributive property)
step 6. 16x = 272 (group x's and add 56 to both sides)
step 7. x = 17 (divide both sides by 16).
Find X intercept of f(x)=2(x-4)^2+2
Answers
Step-by-step explanation:
[tex]f(x) = 2( x - 4) ^{2} + 2 \\ f(x) = 2({x}^{2} - 8x + 16) + 2 \\ f(x) = 2 {x}^{2} - 16x + 32 + 2 \\ f(x) = 2 {x}^{2} - 16x + 34[/tex]
The price of gasoline rose from $1.54 to $3.85.
A: What is the percent increase?
B: If the price reverses from $3.85 to $1.54, what is the percent decrease?
Answers
Answer:
Step-by-step explanation:
dollar amount of increase = $3.85 - $1.54 = $2.31
percentage increase = (amount of increase)/(original price) = $2.31/$1.54 = 1.5 = 150%