Answer:
E) 613.9 m2
Step-by-step explanation:
sum of measures of interior angles of a polygon of n sides:
(n - 2)180
For a pentagon:
(5 - 2)180 = 3(180) = 540
measure of one interior angle of a regular pentagon:
540/5 = 108
Draw a segment from the center of the pentagon to the top vertex. Now you have a right triangle.
The triangle has a 90 deg angle where the segment in the figure meets the side of the pentagon. Let half of the side of the pentagon be x. x is a side of the right triangle.
For the 54 deg angle in the triangle, 13 m is the opposite leg, and x is the adjacent leg.
tan A = opp/adj
tan 54 = 13/x
x = 13 m/tan 54 = 9.445 m
x is half of the side of the pentagon.
2x is the side of the pentagon.
2x = 2(9.445 m) = 18.89 m
The given 13 m segment is the apothem of the pentagon.
A = nsa/2
where n = number of sides, s = length of 1 side, a = length of apothem
A = (5)(18.89 m)(13 m)/2
A = 613.9 m^2
Answer: E) 613.9 m2
12 n - 49, when n = 3
Answer:
-13
Step-by-step explanation:
First subsitute 3 for n
12(3)-49 multiply 3 with 12
26-49 subtract
-13
help?!?
i need this by this afternoon.
Answer:
-25 3/8
Step-by-step explanation:
Answer:
32 5/8
Step-by-step explanation:
-71/4x(-4) +35/8
-29/4x(-4)+35/8
29+3 5/8
32 5/8 261/8 32.625 are alterniate forms
A salesperson earns a 12.5% commission on every car sold. The salesperson sold a car for $17,500. What is the commission earned from the sale? Round your answer to the nearest cent.
A n s w e r:
$2187.50
Which is a root of the equation x2 + 6x + 8 = 0?
Answer:
4 and 2
Step-by-step explanation:
complete it (picture)
Simplify: 4(36)?????
Answer:
To reduce this fraction, simply divide the numerator and denominator by 4 (the GCF). So, 436 = 4÷436÷4 = 19. Thus, 436 is equivalent to 19 in the reduced form.
Step-by-step explanation:
The solution for the expression 4(36) after you simplify can be expressed as 144.
What is 4(36) when you simplify?To simplify the expression 4(36), we need to perform the multiplication operation.
4 multiplied by 36 can be calculated as follows:
4 x 6 = 24 (multiplying the units digit)
4 x 30 = 120 (multiplying the tens digit)
Now, we add the results together:
24 + 120 = 144
Therefore, the number 4 multiplied by the number 36in brackets is equals to 144.
Read more about how to simplify here: https://brainly.com/question/6979644
#SPJ6
work out a & e
will mark brainlest
Answer:
a = 14
b = 15
c = 15
d = 18
e = 18
Step-by-step explanation:
The stratified sampling works as follows:
stratified sampling = (Population of subgroups)*(total sample size)/(entire population)
in this case, sample size = 80
entire population = 140 + 150 + 150 + 180 + 180 = 800
Population sample is the number of students of each year (for year 7, the population of subgroup is 140, and so on)
whith this equation we can find all the missing values:
a = (140)*(80/800) = 14
b = (150)*(80/800) = 15
c = (150)*(80/800) = 15
d = (180)*(80/800) = 18
e = (180)*(80/800) = 18
The panthers lost 6 yards on their first play and lost another 8 yards on their next play. What was their net result in yards after these two plays?
my badd i didnt read the whole question it would be negative 14
can anyone help me in this ???? and tysm !!!
Answer:
The answer to the question provided is 38.
The temperature on a Monday evening was 8 °F. Tuesday evening it was
expected to drop 12 F. Write and evaluate a subtraction expression find
the expected temperature on Tuesday evening.
Answer:
it would be -4 Degrees F
Step-by-step explanation:
8 -12 = -4
alice ran 8 miles over the weekend . how many kilometers did she run? 1 mile = 1.6 kilometers
If Karen finished watching a movie at 1:10 pm, and it lasted 1 hour 38 minutes, then what time did she start the movie
Answer:
11.32pm
Step-by-step explanation:
1.10pm - 1hr = 12.10pm
12.10pm - 38min = 11.32pm
Answer:
1:38 minus and hour which is 12:38now minus 38 minutes from an hour is 22 so the answer is 12:22
c) Which expressions show the amount of
money Erica saves if she spends $40?
Choose ALL that apply.
40 = 2
40 = 40
40 + 40
40. 2
40 2
Answer: 40 . 2 and 40 + 40
Step-by-step explanation:
The expression which shows the saving is 40 + 40 and 40 x 2. The correct options are C and D.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the amount of money saved by Erica is $40. The expression which represents the savings will be,
40 + 40 = 80
40 x 2 = 80
Therefore, the expression which shows the saving is 40 + 40 and 40 x 2. The correct options are C and D.
To know more about an expression follow
https://brainly.com/question/534030
#SPJ5
A restaurant is offering a dinner special that includes one starter and one entree. The choices are listed below.
Starter: breadsticks, soup, salad
Entree: beef, fish, chicken, shrimp, pork
How many possible dinner special combinations are there?
5
8
10
15
Answer: i think that the answer is 10
plz give me some points
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
:)
What is the value of the expression?
8 1/2-2 +4 3/4
Answer:
LETTER B
Step-by-step explanation:
8.5 - 2 + 4.75 =
6.5 + 4.75 =
11.25 or 11 1/4
how do i find the missing value of “?”
How to solve 2 (3x + 2) = 22
Answer:
x = 3
Step-by-step explanation:
[tex]2(3x+2)=22\\\\6x+4=22\\\\6x+4-4=22-4\\\\6x=18\\\\\frac{6x=18}{6}\\\\\boxed{x=3}[/tex]
Hope this helps.
Pythagorean theory 4n2 +2=22
What is the answer???
Answer:
it is a 90 degree angle
Step-by-step explanation:
because the little square in the corner
PLEASE URGENT (quadratic formula with step by step) 35 points!
Answer: 1.828 HOPEFULLY ITS RIGHT.
Step-by-step explanation:
Harrison has 60 CDs in his music collection. If 10% of the CDs are country music and 60% are pop music, how many CDs are other types of music?
Spend $1.85 & pay with a
$10.00 bill & you get $8.15 in
change. The digits in the
change are the same as the
digits in what you spent. Can
you find other amounts that
work this way?
3. Marjorie made 4 wreaths in 6
hours and 6 wreaths in 9 hours.
What is the constant of
proportionality?
13
k=2
k = 2/3
k = 3/2
k= 3
Answer:
The constant of proportionality is k = [tex]\frac{2}{3}[/tex] ⇒ B
Step-by-step explanation:
The form of the equation of the proportionality is y = k x, where
k is the constant of proportionality∵ Marjorie made 4 wreaths in 6 hours
→ Let y the number of wreath and x is the time of making them
∵ y = k x
∵ y = 4 and x = 6
→ Substitute them in the equation
∴ 4 = k(6)
∴ 4 = 6k
→ Divide both sides by 6 to find k
∵ [tex]\frac{4}{6}[/tex] = [tex]\frac{6k}{6}[/tex]
∴ [tex]\frac{2}{3}[/tex] = k
Let us use the other information to be sure it will give us the same value of k
∵ She made 6 wreaths in 9 hours
∴ y = 6 and x = 9
→ Substitute them in the equation
∵ 6 = k(9)
∴ 6 = 9k
→ Divide both sides by 9 to find k
∵ [tex]\frac{6}{9}[/tex] = [tex]\frac{9k}{9}[/tex]
∴ [tex]\frac{2}{3}[/tex] = k
∴ The constant of proportionality is k = [tex]\frac{2}{3}[/tex]
Mr. Kilborn's class has ten girls and ten boys. If one student is
chosen randomly from the class, what is the probability that the
student chosen will be a boy?
Answer:
50%
Step-by-step explanation:
If there is both the same amount of girls and boys which is 10 and 10.It would half and half of 100% which would be 50%.Both sides have the same amount.
4x - 5 = 7 solve for X
Answer:
x=3
Step-by-step explanation:
move the constant to the right hand side and change
Plz help please
Is the relation shown in the arrow diagram a function?
Answer:
The answer is A
Step-by-step explanation:
In order for it to be a function every x value has to have a different y value or every input has to have a different output.
Given slope= 1/2 and a point (0,8), Write the equation of the line in standard form (PLEASE ITS DUE IN A LITTLE AND I NEED HELP PRONTO)
Answer:
y=0.5x+8
Step-by-step explanation:
The slope is 0.5 so y=0.5x. We can plug in the point to the equation and we get 8=0(0.5)+b or 8=0+b. b=8 so the equation is y=0.5x+8
help me and when you are done
have a blessed day god blesses you
Answer:
False
Step-by-step explanation:
The left side −28 does not equal to the right side 22 , which means that the given statement is false.
Which expression is equivalent to
1
?
64
0 41 x 4-10
O 4-1 x 410
O 4
x 47
O 44 x 4-7
Answer:
D. 4^4 x 4^-7
Step-by-step explanation:
Option D is correct, 4⁴×4⁻⁷ is equivalent to the expression 1/64
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 1/64
One divided by sixty four
We need to find the expression which is equivalent to One divided by sixty four.
We know that 4×4×4 is 64
Which means 4³=64
4⁴×4⁻⁷ = 4⁻³
1/64 = 1/4³
= 4⁻³
So 4⁴×4⁻⁷ is equal to 1/64
Hence, Option D is correct, 4⁴×4⁻⁷ is equivalent to the expression 1/64
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ7
Mary has 200ml of hand sanitizer that is 15% alcohol she mixes it with 200ml of a hand sanitizer that is x% alcohol how many ml is in the second hand sanitizer?
Answer:
2x
Step-by-step explanation:
ok so basically..
x/100 * 200
200x/100
then you cross out the zeros and you get 2x.
Hope this Helped!! XD