Find the area of a regular pentagon with an apothem of 11 units. *
364 square units
O 440 square units
516 square units
O 166 square units
Answers
Answer:
440 square unitsStep-by-step explanation:
We can find half of a side of the pentagon with the expression
\(tan(36\°)=\frac{s_{half} }{11}\)
Because, as a regular polygon, all its sectors have the same central angle, and the apothem divides equally each sector in two equal parts.
\(s_{half} \approx 8\)
Therefore, half of a side is 8 units long, which means each side measures 16 units.
Now, the area of a penthagon is defined by
\(A=\frac{p \times a}{2}\)
Where \(p\) is the perimeter and \(a\) is the apothem. Where the perimeter is the sum of all sides, which is 80 units.
\(A= \frac{80 \times 11}{2} =440 \ u^{2}\)
Therefore, the right answer is the second choice.
Related Questions
The circumference of a circular park is approximately 18 feet. What is the approximate area inside the circular park?
Answers
Answer:
25.685 square feet.
Step-by-step explanation:
Circumference = 2 * π * radius
From this, we can derive the formula for the radius:
radius = Circumference / (2 * π)
Let's substitute the value of the circumference and calculate the approximate radius:
radius = 18 / (2 * π)
radius ≈ 18 / (2 * 3.14159)
radius ≈ 2.865 feet
Now that we have the approximate radius, we can calculate the area:
Area ≈ π * radius²
Area ≈ 3.14159 * (2.865)²
Area ≈ 3.14159 * 8.193225
Area ≈ 25.685 square feet
Therefore, the approximate area inside the circular park is approximately 25.685 square feet.
C = 2πr
where C is the circumference and r is the radius of the circle.
In this case, we are given that the circumference is approximately 18 feet, so we can set up the following equation:
18 = 2πr
Solving for r, we get:
r = 9/π ≈ 2.864 feet
Now we can use the formula for the area of a circle:
A = πr^2
Substituting the value we found for r, we get:
A = π(2.864 ft)^2 ≈ 25.85 ft^2
Therefore, the approximate area inside the circular park is approximately 25.85 square feet.
How does the cart seem to move from the 0 cm. mark depending on your location?
Answers
Answer:
it does not move.
Step-by-step explanation:
....
Answer:
The cart will not move.
Step-by-step explanation:
help me please help thx
Answers
Answer: 540.4 mm squared
Step-by-step explanation:
Since there are 5 triangles, we can find the area of each one and multiply it by 5:
(bh)/2 * 5
the base is 8 because in an isosceles triangle, you divide the bottom side by 2
(2*20)/2 * 5 =
20 * 5 =
100
We can add this to the base, 440.4, and get a result of 540.4
Answer: 540.4 mm squared
Step-by-step explanation:
Find the area of the following figure.
Answers
Answer:
The area is
A = 201.6 or with units we have A = 201.6 cm^2
Step-by-step explanation:
We find the area of the triangle and the rectangle separately, and then add the areas to get the total area
Area of Rectangle = R = (base)(height)
R = (12)(15)
R = 180
R = 180 cm^2
Area of Triangle = T = 1/2(base)(height)
T = (1/2)(12)(3.6)
T = 21.6
T = 21.6 cm^2
Total Area = A = Area of Rectangle + Area of Triangle
A = R + T = 180 + 21.6
A = 201.6
A = 201.6 cm^2
Answer:
The answer is 648.
Step-by-step explanation:
I hope this helps you and that you get 100% ;D
giving brainliest if u answer correctly <3
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Answers
write an equation of the following story problem
Answers
Answer:
5x + 15y =20 = - 3x +25y =75
= 8 minutes
Step-by-step explanation:
5x + 15y =20 multiply all by 3 to get 15x
15x +45y=60
- 3x +25y =75 multiply all by -5 to get 15x
15x -125y = -375
rewrite ans together
15x +45y=60
15x -125y = -375
-80y = -315
y = -315/ - 80
y = 3.9375 = y= 4 substitute to find x
5x + 15(4 )=20
5x +60 = 20
5x=-40
x= -40/5
x=-8
15x +45(4)=60
15x +180 =60
15x =-120
x=-8
Solve and explain each step
Answers
3marbles in total(1red ,1blue,1green)
If two are chosen:(possible chosen-Red and green or blue and green or blue and red)
So possible chosen with replacement with the options given =
Pr(Green and blue)+Pr(blue and green)
(1/3 x 1/3) + (1/3 x 1/3)
1/9 + 1/9
2/9
Without replacement
Pr(green and blue) + Pr(blue and green)
(1/3 x 1/2) + ( 1/3 x 1/2)
1/6 + 1/6
2/6
1/3
Without replacement = 1/3
3marbles in total (1red , 1blue, 1green)
If two are chosen: (possible chosen-Red and green or blue and green or blue and red)
So possible chosen with replacement with the options given =
Pr(Green and blue)+Pr (blue and green)
(1/3 × 1/3) + (1/3 × 1/3)
1/9 + 1/9
2/9
Without replacement
Pr(green and blue) + Pr(blue and green)
(1/3 × 1/2) + (1/3 × 1/2)
1/6 + 1/6
2/6
1/3
Without replacement = 1/3
Does anyone have the answer key to "Understand Systems of Linear Equations I-ready level H instruction?"
Answers
Answer:
no bro, sorry. even though I needed to I don't have it
im being timed so uhh help please
Answers
The chef at a restaurant bought 37 pounds of salad for $46.25. How much did she pay for 1 pound of salad? Show all work and explain your reasoning.
Answer in paragraph
Answers
Answer:not sure
Step-by-step explanation:
A salad dressing recipe uses 12 parts oil, 3 parts vinegar, and 2 parts honey. Which of the following sets of ingredients are in a proportional relationship with the recipe? Select all that apply.
9 Tbsp oil, 2 Tbsp vinegar, 1.5 Tbsp honey
6 Tbsp oil, 1.5 Tbsp vinegar, 1 Tbsp honey
15 Tbsp oil, 4 Tbsp vinegar, 3 Tbsp honey
18 Tbsp oil, 4.5 Tbsp vinegar, 3 Tbsp honey
24 Tbsp oil, 6 Tbsp vinegar, 4 Tbsp honey
Answers
A salad dressing recipe uses 12 parts oil, 3 parts vinegar, and 2 parts honey. Which of the following sets of ingredients are in a proportional relationship with the recipe? Select all that apply.
9 Tbsp oil, 2 Tbsp vinegar, 1.5 Tbsp honey
6 Tbsp oil, 1.5 Tbsp vinegar, 1 Tbsp honey
15 Tbsp oil, 4 Tbsp vinegar, 3 Tbsp honey
18 Tbsp oil, 4.5 Tbsp vinegar, 3 Tbsp honey
24 Tbsp oil, 6 Tbsp vinegar, 4 Tbsp honey
Determine the value of z.
Answers
Answer:
121°
Step-by-step explanation:
The sum of the a triangle's angles is 180°
so the missing angle: 180°-(87°+34°) = 59°
so z°= 180°-59°= 121°
Answer:
121º
Step-by-step explanation:
Once interior angles of a triangle sum 180º, the remaining angle is:
34º + 87º + x = 180º
x = 59º
Once ∠x and ∠z are supplementary angles (add up to 180º), ∠z = 121º
I need help on these 5 questions:
Answers
Step-by-step explanation:
(2x-3)² - (4x+1)(x − 4)
4x² - 12x + 9 - 4x² - 16x + x - 4
group like terms
4x² - 4x² - 12x+x+9-4
-11x + 5
ANSWER THIS CORRECTLY TO BE BRAINLIEST
Answers
Answer:
Q6. -5/2
Q7. -7/24
Q8. 127/24
Q9. 151/12
Step-by-step explanation:
Q6. (−3/4)+(−7/4) = -3-7/4 = -10/4 = -5/2
Q7. 3/8 - 2/3 = 3*3/8*3 - 2*8/3*8 = 9/24 - 16/24 = 9-16/24 = -7/24
Q8. 18+2/3 - 8+3/8 = 20/3 - 11/8 = 20*8/3*8 - 11*3/8*3 = 160-33/24 = 127/24
Q9. 12+1/4 + 27+1/3 = 13/4 + 28/3 = 13*3/12 + 28*4/12 = 39 + 112/12 = 151/12
9 : 32 1/3
NEED HELP [ WILL GIVE BRAINLIEST TO CORRECT ]
![NEED HELP [ WILL GIVE BRAINLIEST TO CORRECT ]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/f9DwjAscnEnv1VQm9sKHzLTTvmclQkAU.png)
Answers
Answer:
even
odd
Step-by-step explanation:
You know that x is an odd function, tan(x) is an odd function, and sec(x) is an even function.
The ratio of two odd functions will be an even function, so ...
x/tan(x) is even
The ratio of an odd and an even function will be odd, so ...
sec(x)/x is odd
Step-by-step explanation:
incase you cant read it, it asks: Match each correlation with its strength and direction. Explain your reasoning. PLEASE BRO THIS IS DUE TOMORROW
Answers
Answer:
C.)
Step-by-step explanation:
Please help me! im on an assignment an cant figure it out
Answers
Step-by-step explanation:
The difference beteen 9.2 ounces and 8.1 ounces is 1.1 ounces
and the difference in price is .49
so 1.1 ounces cost .49
$ .49 / 1.1 oz = $ .445 per ounce
Then Reid's bowl should cost 7.8 oz * $ .445 / oz = $3.47
help me please this is due today.
Answers
Answer:
please the answer is 84ft
If xx and y vary directly and y is 21 when x is 7, find y when x is 5
Answers
Answer:
y = 15
Step-by-step explanation:
We need to solve for k
y = x
21 = 7k Divide both sides by 7 to solve for k
3 = k
y = xk
y = 5(3)
y = 15
Answer: y = 15
Step-by-step explanation:
Which equation has the same solutions as 4x + x - 5 = 0 ?
Answers
You simplify the left side
Answer:
5x-5=0 I think or if you just want. Or if you want a random one 6x-6=0
Step-by-step explanation:
I just simplified it. X = 1.
look at the model and answer the following questions
Answers
Answer: Can't see the questions clearly, also 3/4 x 1/3 is 1/4
Step-by-step explanation:
A bowling alley charges a rental fee of $12 for the lane. They then charge $7.75 for each game bowled. If I have a total of $105. Write an inequality and solve it to find the maximum number of games, g, that I could play?
Answers
Answer:
12
Step-by-step explanation:
12 + 7.75*g <= 105 Subtract 12
7.75g < =105 - 12 divide by 7.75
g <= 93 / 7.75
g < = 12
You have to put an equal sign in there because 7.75 divides equally into 93.
What is the result of the subtraction problem that is represented on the number line?
Answers
Blue line= 2.5
So I’m not sure what it is asking- 3-2.5 or 2.5-3
So the answer is either 0.5 or -0.5
Hope this helps :) was not really sure because it is worded really weird
What is the area of a square with a perimeter of 55 cm
Answers
Answer:
Step-by-step explanation:
A= 189.06cm2
Answer:
Step-by-step explanation:
189.06cm2
Point E is located at coordinates (-7,-5). point F is located at coordinates (-2,7). What is the length of EF?
A. 17 units
B. 13 units
C. 15 units
D. 21 units
Answers
This graph represents a linear function
select the equation represented by the graph
Answers
Y=4/1x -1
Answer: \(y = \frac{1}{4} x - 1\)
Step-by-step explanation: In general, know that the equation for a linear graph is \(y = mx + b\), where
m = \(\frac{rise}{run}\) = the slope of the linear functionb = the y intercept.In our case,
m = \(\frac{rise}{run}\) = \(\frac{1}{4}\)b = -1
Correct answer gets brainliest.
Consider triangles ABC and DEF such that AB = DE = 4 and AC = DF = 5, as shown in the picture below:
If
Answers
Answer:
<A=30; m<D=arc_cos(3/5)=arc_sin(4/5)
Area(triangleABC)=AB AC sin(A)/2=4 ,5 sin(30)/2=5unit²
Area(triangleDEF)=DE DF sin(D)/2=(5,4,4/5)/2=8unit²
Which rational number is one tick mark to the left of -3/4
on the number line above?
Answers
Answer:
Put it in between the 0 and -1. Put it on the last line closer to the -1 but not on the -1.
Step-by-step explanation:
This is because 3/4 in general is less than one.
What are the coordinates on a graph for the equation: y = 8.75x + 12
Answers
Answer:
ifndjddkjdjdhdhdudd
Mike has a poster that he wants to copy onto a mural at school. The dimensions of the poster are shown. If Mike doubles the dimensions of the poster, what will be the area, in square feet, covered by his copy?
Answers
Answer:
34
Step-by-step explanation:
Explanation: