Answers
Given:
Number of sides = 7
Apothem = 8 meters
Side length = 7.7 meters
To find:
The area of the regular polygon.
Solution:
We know that,
Area of a regular polygon is
[tex]A=\dfrac{1}{2}pa[/tex] ...(i)
where, p is perimeter and a is apothem.
Perimeter of a regular polygon is the product of number of sides and side length.
[tex]p=7\times 7.7[/tex]
[tex]p=53.9[/tex]
Substituting p=53.9 and a=8 in (i), we get
[tex]A=\dfrac{1}{2}(53.9)(8)[/tex]
[tex]A=(53.9)(4)[/tex]
[tex]A=215.6[/tex]
Therefore, the area of the regular polygon is 215.6 m².
Related Questions
The price of an item yesterday was $140. Today, the price rose to $238. Find the percentage increase.
%
Answers
Answer:
216$
Step-by-step explanation:
Answer:
41.2%
Step-by-step explanation:
[tex]Percentage\ change = (\frac{Final\ Price\ - Initial\ Price}{Final\ Price})100\\\\Percentage\ change=(\frac{238-140}{238})100\\\\Percentage\ change=(\frac{98}{238})100\\\\Percentage\ change=(0.412)100\\Percentage\ change=41.2\\[/tex]
So the percentage increase was 41.2%
Given that triangle RST is isosceles, find the value of ZS
Answers
Answer:
120°
Step-by-step explanation:
[tex]m\angle S = 180\degree - 2\times 30\degree \\\\
m\angle S = 180\degree - 60\degree \\\\
\huge\purple {\boxed{m\angle S = 120\degree}} [/tex]
You and two friends buy snacks for a field trip. Using the
information given in the table, determine the price per pound for mixed nuts,
granola, and dried fruit.
Answers
Answer:
13.15
Step-by-step explanation:
What is the range of y = x + 20?
Answers
X=20
Explanation
The first person to answer my questions wins a brainlist IF THERE RIGHT. alright
I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?
This riddle relies on tricking you into thinking about ears and a mouth. You get a tiny hint about wind to encourage you to think broadly and avoid the literal.
Answers
Answer:
An Echo
Step-by-step explanation:
help please? i am a little bit confused
Answers
d: 1.25
c: .035
b: .70
a: .23
these are just my guesses but if there right then I hope this helps. I don't know it but these are my best affiliations.
find the area of Rhombus if its diagonals measure 18 cm and 21 cm
Answers
Answer:
189 cm²
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A = [tex]\frac{1}{2}[/tex] × product of diagonals
= [tex]\frac{1}{2}[/tex] × 18 × 21 = 9 × 21 = 189 cm²
what is 4.5+1.5k=18-3k
Answers
Answer: k = 3
Step-by-step explanation:
1
Combine multiplied terms into a single fraction
4
.
5
+
1
.
5
Answer:
Thr33
Step-by-step explanation:
3
4. Find the volume for a sphere with a radius of 7 cm. Round to the nearest whole number. (1 point)
O 307 cm 3
O 1,436 cm3
O 1,020 cm 3
0615 cm
5. Find the radius of a sphere with a surface area of 804 cm (1 point)
9 cm
O 8 cm
O 64 cm
204 cm
Answers
Answer:
about 1437
about 2144
Step-by-step explanation:
i looked it up on google :)
Answer:
8
Step-by-step explanation:
let f(x)=3x+5 and g(x)=x^2 find (f-g)(x)
Answers
Answer:
(f - g)(x) = -x² + 3x + 5
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Function NotationCombining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = 3x + 5
g(x) = x²
(f - g)(x) is f(x) - g(x)
Step 2: Find (f - g)(x)
Substitute: (f - g)(x) = 3x + 5 - x²Rewrite: (f - g)(x) = -x² + 3x + 5what is the volume of a regular octahedron inside a cube with the length of its sides measuring 4 centimeters
Answers
Answer:
We conclude that the volume of a regular octahedron will be:
[tex]\:\:V\:\approx \:30.17[/tex] cmStep-by-step explanation:
Given
The length of one of the side or edge of a regular octahedron = a = 4 cm
To determine
The volume of a regular octahedron = V
Using the formula to determine the volume of a regular octahedron
[tex]V\:=\:\frac{\sqrt{2}}{3}a^3[/tex]
substituting a = 4 in the volume equation
[tex]V=\frac{\sqrt{2}\cdot \:4^3}{3}[/tex]
[tex]V=\frac{64\sqrt{2}}{3}[/tex] ∵ 4³ = 64
[tex]\:\:V\:\approx \:30.17[/tex] cm
Therefore, we conclude that the volume of a regular octahedron will be:
[tex]\:\:V\:\approx \:30.17[/tex] cmPLEASE HELP!!!!!!!!!
Identify the type for each triangle.
(Please do not answer if you do not know so the right people get the points)
Answers
Answer:
1. isosceles
2. obtuse
3. isosceles
4. right triangle
5. right isosceles triangle
6. obtuse isosceles triangle
Geometry: The Expression 15×x×6 represents the volume of a rectangular prism with a length of 15, a width of x, and a height of 6. Simplify the expression.
1) 21x
2) 90x
3) 21/x
4) 90/x
Answers
Step-by-step explanation:
[tex]15 \times x \times 6 \\ \ \\ = 15 \times 6 \times x = 90x[/tex]
thank yaal for answerin ;)
Answers
Answer:
B is the answer
Step-by-step explanation:
Rigid motion they don't change shape or size just move around.
I don't understand.
Answers
Answer:
symmetric is the answerAnswer:
the second choice took the test
A major arc will have a measure that is
A. less than 180°
B. equal to 180°
C. greater than 180°
Answers
9514 1404 393
Answer:
C. greater than 180°
Step-by-step explanation:
Arcs are classified as "major" or "minor" depending on whether they are more or less than half a circle. A major arc is more than half a circle so is greater than 180°.
Which of the following statements about rational numbers is false?
A. Every natural is a whole number, integer, and a rational number.
B. Every integer is a rational number.
C. A natural number is also a whole number.
D. Every rational number is also an integer
Answers
Answer:
D. Every rational number is also an integer
Step-by-step explanation:
Some rational numbers are integers, but not all of them
What is the number of terms in this expression?
+4.6
Enter your answer in the box.
Answers
Answer:
joe mama
Step-by-step explanation:
Identify the solution that has grouped the like terms correctly.
-2+6y+m-2y+8-4m
Answers
Answer:
C
Step-by-step explanation:
The terms with the same variable are like terms.
Can somebody help me out with this ??? please .
Answers
Answer:
Step-by-step explanation:
you have alternate angles, which are equal
6z-91=71
6z=71+91=162
z=162/6=27
z=27
y=180-27=153
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:12x^3y^5
Step-by-step explanation:
Answer:
[tex]\huge\boxed{12x^3y^5}[/tex]
Step-by-step explanation:
[tex]4x^2y^3\times3xy^2=(4\cdot3)(x^2\cdot x)(y^3\cdot y^2)=12x^{2+1}y^{3+2}=12x^3y^5[/tex]
-4x + 7y = 18
4x - y = -3
solve using either the substitution or elimination method
pls show solving steps
will mark brainliest
Answers
Answer:
Step-by-step explanation:
Subtract 7y7y from both sides.
-4x=18-7y−4x=18−7y
2 Divide both sides by -4−4.
x=-\frac{18-7y}{4}x=−
4
18−7y
15 is what % of 60:(
Answers
Answer:
25%
Step-by-step explanation:
what’s the value for x
Answers
Answer:
53
Step-by-step explanation:
move 82 down next to (2x-8)
if 82+2x-8 is 180, x is 53
Answer:
2x-8=98
2x=106
×=53 is the right answer
if x + y = x y = 5 then x ^2 y + X Y ^ 2 equals
Answers
Answer:
25
Step-by-step explanation:
Note x^2y + xy^2 = xy(x+y)
We know xy = 5 and x+y = 5, so
5*5=25
Question 4 (10 points)
Which sentence is written in third-person point of view? (10 points)
a
Once a small crowd of protesters, we were now an angry mob.
b
Our small crowd of protesters was now an angry mob.
c
The small crowd of protesters had turned into an angry mob.
d
Your small crowd of protesters has now become an angry mob.
Answers
Answer:
C, "The small crowd of protesters had turned into an angry mob".
Step-by-step explanation:
A and B are 1st person point of view because of "we" and "our". D is 2nd person point of view because of "your".
Answer:
c. The small crowd of protesters had turned into an angry mob.
Point of view is a way the voice sounds.
1st person uses: I, we, she, he, her, my. (it sounds like you are in their head.)
2nd person uses: you, your. (it sounds like the narrator is talking directly to you.)
3rd person uses: they, them he, her. (it sounds like someone is watching the story happening and is telling it from an outside point of view.
1st: My friends and I can't wait until Christmas.
2nd: You and your friends can't wait until Christmas.
3rd: Macy and her friends can't wait until Christmas.
Kristi rides her bike to school and has an odometer that measures the distance traveled. She subtracts this distance from the distance to the school and records the distance that remains between her and the school. Find the intercepts. What do the intercepts represent?
Answers
The y-intercept represents when she starts riding her bike while the x-intercept is the the time it takes her to get to her school.
How to Interpret x and y intercepts?The complete question shows us a table with time travelled being on the x-axis while distance remaining is on the y-axis.
We see from the table that at 0 minutes travelled, the distance remaining is 5500 ft. Thus, the y-intercept represents when she starts riding her bike at 0 minutes and 5500 ft left to cover.
We see also from the table that after 8 minutes covered, she has 0 ft left to travel. Thus, the x-intercept is the the time it takes her to get to her school which is 8 minutes.
Read more about Intercepts at; https://brainly.com/question/3951754
#SPJ2
Solve for x
9(x-1)=81
x=
Answers
Answer:
x=10
Step-by-step explanation:
[tex]9x-9=81\\9x=90\\x=10[/tex]
The mural of your school mascot is $4$ feet by $12$ feet and is to be completely framed using a single row of square tiles each $2$ inches on an edge. If the tiles are $\$0.10$ each, find the cost, in dollars, of the tiles needed to frame the mural.
Answers
Answer:
$19.2
Step-by-step explanation:
The school mascot is rectangular in nature.
Perimeter P = 2(L+W)
L is the length = 4feet
W is the width = 12 feet
Perimeter = 2(4+12)
Perimeter = 2(16)
Perimeter = 32 feet
Convert to inches
12in = 1feet
x = 32 feet
Cross multiply
x = 12 * 32
x = 384in
Hence the perimeter of the school mascot is 384in
If it is to be completely framed using a single row of square tiles each 2inches on an edge
2 inches = 1 tiles
384inches = y tiles
Cross multiply
2y = 384
y = 384/2
y = 192 tiles
The number of tiles needed is 192 tiles
Get the cost of 192tiles
If the tiles are $0.10 each. 192 tiles will cost 192 * 0.1 = $19.2
Hence the cost of the tiles needed is $19.2
What is the solution to
2x + 8 < 3x - 4?
A) X < 12
B) X > 12/5
C) X > 12
D) X < 12/5
Answers
Answer:
A
Step-by-step explanation:
Answer:
The answer is choices C.
Step-by-step explanation:
Let's solve your inequality step-by-step.
2x+8<3x−4
Step 1: Subtract 3x from both sides.
2x+8−3x<3x−4−3x
−x+8<−4
Step 2: Subtract 8 from both sides.
−x+8−8<−4−8
−x<−12
Step 3: Divide both sides by -1.
−x/-1<−12/-1
x>12