The length of the apothem of the regular octagon will be equal to 1.75 cm
What is a regular octagon?The regular octagon is the shape made up of the 8 sides or also the combination of the 8 isosceles triangles connected together side by side.
Here it is given:
Area of the Octagon = [tex]10.15\ cm^2[/tex]
The side of the octagon=1.45 cm
As we know that the octagon consists of the 8 isosceles triangles so the area of one triangle will be
[tex]= \dfrac{10.15}{8} =1.27\ cm^2[/tex]
Now the area of the isosceles triangle is given as:
[tex]A=\dfrac{1}{2} \times h\times b[/tex]
[tex]1.27=\dfrac{1}{2} \times h\times 1.45[/tex]
[tex]h=1.75\ cm[/tex]
Thus the length of the apothem of the regular octagon will be equal to 1.75 cm
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Answer:
the answer is b
Step-by-step explanation:
Worth all my points plus brainliest help plzzz 1-5
Answer:
1. H, - 6/5
2. B, 8
3. B, 15
4. B, integer
5. F
Step-by-step explanation:
Hope this helps and pls do mark me brainliest if you can:)
For each of the following quadrilaterals, select all the properties that must be true.
Answer:
Step-by-step explanation:
a) Only one pair of parallel sides
b) Two pairs of parallel sides
c) Four right angles, 2 pairs of parallel sides
The perimeter of a rectangular room is 32m.The length of a diagonal is 8m more than than the width.Find the dimensions of the room.
Answer: 12m by 4m.
Step-by-step explanation: You are looking for the dimensions of the room here, also known as the length and width.
Let’s make width equal to x since we don’t know what the value is. Length is going to be x + 8 since the diagonal is 8m MORE than the width.
w = x
l = x + 8
Use the equation for the perimeter.
P = 2l + 2w
Plug in your values:
32 = 2(x + 8) + 2(x)
Now, solve for x! First start by distributing the 2:
32 = 2x + 16 + 2x
Next, add like terms:
32 = 4x + 16
Subtract 16 from both sides:
16 = 4x
Divide by 4 on both sides:
4 = x
Now we have x, but remember, x is equal to the width. We just solved for width so now we need length.
l = x + 8
Plug in your x and solve:
l = 4 + 8
l = 12
Your length is 12m and your width is 4m, therefore, the dimensions of the rectangular room are 12m by 4m.
Help. (26. Is the question number.)
[tex]A = \pi (3x^2y)^2 = 9x^4y^2\pi[/tex]
A piece of wire is 8/9 meter long broke into two pieces. One piece is 2/3 meter long. How long is the other?
Answer: 2/9 meter
Step-by-step explanation:
Answer:
2/9 is the answer.Step-by-step explanation:
1. First, make an equation.
Given:
8/9 = length of wire
2/3 = length of a part of the wire
E = 8/9-2/3
Unknown:
Second part of wire
2. Make the numbers have equal denominators
2/3 * 3/3
= 6/9
3. Solve
8/9 - 6/9
= 2/9
Hope this helped,
Kavitha
find the length of the circumference of the circles under the following condition, take pie =3.14
pls show me explanation question no 1,
radius =20 cm
Answer:
The answer is 125.66 cmStep-by-step explanation:
Circumference of a circle = 2πr
where
r is the radius
From the question
r = 20 cm
We have
C = 2(20)π
= 40π
= 125.663706143592...
We have the final answer as
125.66 cmHope this helps you
What is the measure of the vertical angles?
6x - 199
3x + 32
I need to know the answer to this and how to solve it .
Answer:
b.125 is the answer because look at the 90 degree and the angle bod it is 35° measure it with protector and add 90° of doe and the sum of 90 and 35 is 125°
There are 4 cups of flour if 7 people share them equally to do some baking how much flour will each person get?
Answer:
I think it's 0.57
Step-by-step explanation:
You just have to divide 4 cups by 7
If these four countries trade only within this group, what is the difference between the highest balance of trade and the lowest balance of trade? a. $6,221,000,000 b. $5,003,000,000 c. $3,772,000,000 d. $2,123,000,000.
Balance of trade is the difference that is between the value of a country's exports and the value of its imports.
What is a balance of trade?
Your information is incomplete. Therefore, an overview will be given. The balance of trade or net exports, is the difference between the monetary value of a nation's exports and imports over a period.
The balance of Trade formula = Country's Exports – Country's Imports.
For example, suppose the USA imported $1.8 trillion but exported $1.2 trillion to other countries, then the USA had a trade balance of -$600 billion.
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Answer:
The correct answer is A. $6,221,000,000
Step-by-step explanation:
just took the test
A grocer mixes peanuts that cost $1.41 per pound and walnuts that cost $2.61 per pound to make 100 pounds of a mixture that costs $1.89 per pound. How much of each kind of nut is in the mixture?
w = 60 lb (amt. of walnuts needed)
100-w = 40 lb (amt. of peanuts needed)
.....................help me
Answer:
15 is to 35
6 is to 14
Step-by-step explanation:
its done in the order of thier ratio
what did Jason do wrong?
Step-by-step explanation:
He added and subtracted the denominators. When adding/subtracting fractions, you need common denominator. Then you would only add/subtract the numerators.
So to solve it correctly, you would first find the common denominator, which for part a, it would be 3x5=15. Then rewrite both fractions s.t. 5/15 + 9/15
Then add the numerator. So 14/15
Find the vectors joining following two points (2.5) and (6,4)
vect u for (2 ; 5) and (6 ; 4) :
vect u (6 - 2 ; 4 - 5)
=> vect u ( 4 ; - 1 )
Food cost for the last 5 months has been 600. What is the average amount spend?
Answer:
Step-by-step explanation:
solve
z = 6 π x y
pls need help fast
( 52 points )
Solve the equation.
-x+8+ 3x = x – 6
O.x = –18
O.x = -14
O.x = 2
O.x= 4
A recipe calls for 6 cups of broth to serve 12 people. She wants to make soup for 2 people. How many cups of broth will she need?
Answer:
she,ll need 6 cups of broth
Step-by-step explanation:
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c(9 – 2) • 3=21 whats the answer
Answer:
c = 1Step-by-step explanation:
[tex]c(9 - 2) \cdot 3=21\\\\\mathrm{Divide\:both\:sides\:by\:}21\\\\\frac{c\left(9-2\right)\cdot \:3}{21}=\frac{21}{21}\\\\c = 1[/tex]
Relations and Functions
Тос
Which of these graphs represents a function?
w.
X.
у
X
Answer: W
Step-by-step explanation:
It passes the vertical line test.
what is the missing angel?
(7x10^5)x(3x10^2) in standard form
Answer:
2.1 x 10^8
Step-by-step explanation:
The expression (7x10⁵)x(3x10²) in the standard form will be 2.1 x 10⁸.
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 expression is (7x10⁵)x(3x10²). The standard form of the expressions can be written as,
E = (7x10⁵)x(3x10²)
E = ( 7 x 3 ) x ( 10⁵⁺²)
E = 21 x 10⁷
E = 2.1 x 10⁸
Hence, the standard form is 2.1 x 10⁸.
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NEED HELP ASAP!!!!
Line h , triangle JKL , and triangle QRS are shown on the coordinate plane. Triangles JKL and QRS are similar and both are right triangles.
Which statements are true?
Select all that apply.
A
The slope of line h is equal to KL/JK.
B
The slope of line h is equal to KL/RS.
C
The slope of line h is equal to QR/RS.
D
The slope of JL is equal to the slope of QS.
E
The slope of QS is less than the slope of JL .
Answer: C, D
Step-by-step explanation:
A rectangle with sides 12 cm and 2 cm has the same diagonal as a square. What is the length of the side of the square
Answer:
Step-by-step explanation:
If Line Overline BC Is The Diameter Of The Circle Below,What is The area of the circle
The area of the circle of diameter BC is the amount of space on the circle
Using the assumed value, the area of the circle is 19.625
How to determine the areaThe circle is not given.
So, I will assume a value for length BC
Assume the length of BC is:
BC = 5
The area of the circle would be:
[tex]Area = \pi (\frac{BC}{2})^2[/tex]
So, we have:
[tex]Area = 3.14 * (\frac{5}{2})^2[/tex]
Evaluate the product
[tex]Area = 19.625[/tex]
Using the assumed value, the area of the circle is 19.625
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Identify the correct solution to the problem 8 x 2/3.
What is the distance between points A and B? A number line going from negative 8 to positive 8. A closed circle appears at negative 5 and is labeled A. A closed circle appears at positive 1 and is labeled B. An orange arrow line extends the length of the number line and contains points A and B. Units units 5 units 6 units
Answer:
6 unitsStep-by-step explanation:
Since the point A that is enclosed in the circle is on negative 5 (i.e -5 ) and point B appears to be located on positive 1 (i.e +1), hence the distance between points A and B is expressed as B - A
BA = A-B
Given
B = -5
A = +1
BA = 1-(-5)
BA = 1+5
BA = 6units
Hence the distance between points A and B is 6units
Answer:
option d: 6 units
Step-by-step explanation:
edgen2020
(1.7x10^4) x (8.5x10^-2)
Step-by-step explanation:
(1.7x10^4) x (8.5x10^-2)
17000 × 0.085
= 1445
the perimeter of a square piece of cardboard is 56 inches. how long is each side of the piece of cardboard ? PLEASE ANSWER ASAP
Answer:
14 inches
Step-by-step explanation:
To calculate the area of a square, multiply the base by itself, which can be expressed as side × side. If a square has a base of length 8 inches its area will be 8 × 8= 64 square inches. Area of a square is given by: A = a2. where a = length of side. Perimeter of a square = 4a.
14 is the answer
I don’t know what to do with this what’s the answer
Given :-
Area = 10.6 cm²Height = 4cm[tex] \\ \\ [/tex]
To find :-
Base of triangle[tex] \\ \\ [/tex]
We know. :-
[tex] \boxed{ \rm Area_{(triangle)}= \frac{1}{2} \times base \: \times heigt}[/tex]
[tex] \\ [/tex]
By using this formula we can find base of triangle.
[tex] \\ \\ [/tex]
So:-
[tex] \dashrightarrow\sf Area_{(triangle)}= \frac{1}{2} \times base \: \times heigt \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf 10.6= \frac{1}{2} \times base \: \times 4\\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf 10.6= \frac{1}{ \cancel2} \times base \: \times \cancel4\\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf 10.6= \frac{1}{1} \times base \: \times 2\\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf 10.6 = base \: \times 2\\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf base \: \times 2 = 10.6 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf base= \frac{10.6}{2} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\bf base= 5.3 \: cm \\ [/tex]