Find the area of a regular octagon with an apothem of 8.45 cm and a side length of 7 cm. (round to the nearest whole number) A) 59 cm2 B) 118 cm2 C) 237 cm2 D) 473 cm2
Answer:
237
Step-by-step explanation:
The area of the regular octagon is 237 cm^2
How to determine the area?The given parameters are:
Apothem (a) = 8.45
Side length (s) = 7
Number of sides (n) = 8
The area of the regular octagon is then calculated as:
A = 0.5 * a * n * s
This gives
A = 0.5 * 8.45 * 8 * 7
Evaluate the product
A = 236.6
Approximate
A = 237
Hence, the area of the regular octagon is 237 cm^2
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5 examples of theorems in math. :")
1. Does the system of linear equations shown below have a solution? Explain.
Answer:
hb Step-by-step explanation:
how to factor this expression
x^3 - 4x^2 + 4x - 16
Prove: 12. Given: BC || EF, ZBEFE ZDCG Prove: AB 11 DC 11. Given: m BCD + m.ZBEF= 180°, AB || DC Prove: BC || EF B C 5. F E
Answer:1. Given: mx1 = 101°, m.25 = 101°. Prove:/ || n . 1. 11. given. <1=1019. (5=101. 2. <1 2 <5 ... 2. Given: 48 = 22. Prove:1 ||n. 1. <. 8722. Il given. J. Ext. 87. 2. elin. 12. alt.int ks form / ... Prove: BC || EF. - ll lines. 1. <BCD + <BEF=180' 11. Diven. ABII DC. 2. ... 6. Given: BC || EF, ZBEFE ZDCG lunes a. Prove: AB || DC. 1. B C ll EF.
Step-by-step explanation:
Need help ASAP I’m on an exam there is a timer
Thankss + BRAINLIST only for correct answer
(question in the picture )
Answer:
it should be D
Step-by-step explanation:
Because shes going back home.
Can you conclude that these triangles are congruent?
Yes or no
Answer:
Yes
Step-by-step
If there flipped then they’re congruent
Answer:
Yes
Step-by-step explanation:
Here we get two triangles,
In triangle MNH. In triangle JKH
You are going on an expedition to dig for dinosaur fossils. In digging you come across a small trunk left by another archeologist. In the trunk is a paper that lists how deep you need to dig to reach dinosaur fossils. Unfortunately, something spilled on part of the paper and it is damaged.
Using your knowledge of mathematics, find the missing numbers in the
chart. Write a generalization or rule to determine any number of feet you
must dig given the number of years.
If the Jurassic period was 200 million years ago, how deep would you need
to dig at this location to uncover fossils of that era? Explain why your
answer is or is not reasonable.
Answer:
200,000 feet to dig
Step-by-step explanation:
We use a ratio for this problem
30,000 200,000,000
----------- = ---------------------
30 x
200,000,000 * 30
---------------------------- = 200,000 feet to dig
30,000
This answer is reasonable because 200,000,000 years ago was a long time ago so then the person must dig a reasonable amount of dirt. So then 200,000 feet is reasonable.
Verify that the given segments are parallel.
Answer:
Step-by-step explanation:
M and N and QR
Please answer this question with a complete answer
Answer:
true, false, true
Step-by-step explanation:
first one:
|-3.17|=3.17
-3.17 cannot be negative away, so it must be positive.
second one:
|7.29|=7.29
not equal to -7.29
third one:
no matter if it's negative or positive, you always use absolute value (||) to measure distances between number lines
brainliest plz
1) Today's temperature will be at least 55°, but not more than 65º. Write and graph an inequality to show this situation.
Answer:
[tex]55 \leqslant x < 65 [/tex]
A can of soup has the shape of a cylinder.
The diameter of the base of the can is
3.4 inches, and the height of the can is
4.5 inches. What is the volume of the can
rounded to the nearest tenth of a cubic
inch?
Answer:
Step-by-step explanation:
Height h = 4.5 inches
Radius r = 3.4/2 = 1.7 inches
Area of base = πr² = 2.89π square inches
Volume of cylinder = πr²h = 2.89π4.5 = 13.0 cubic inches
Answer:
The answer is 40.8
Step-by-step explanation:
The volume of a cone equals the area of a circle multiplied by the height
[tex]v = \pi \times {r}^{2} \times h \\ = 3.14 \times 1.7 \times 1.7 \times 4.5 \\ = 40.8[/tex]
‘Find the value and figure of B’
Answer:
b = 12 in
Step-by-step explanation:
Use the Pythagorean theorem.
a^2 + b^2 = c^2
b^2 + 9^2 = 15^2
b^2 = 225 - 81
b^2 = 144
b = 12
Answer: b = 12 in
A woman rides a bicycle for 1 hour and travels 12 kilometers. Find the angular velocity of the wheel if the radius
is 33 centimeters.
rad/min
14.81 radians/second
Step-by-step explanation:
So is 0.147 a rational number?
Answer:
Yes because it is a terminating decimal.
Step-by-step explanation:
The student council is selling carnations for Valentine's Day. Two different shops can provide these flowers. . Gracie's Flowers charges a $5.00 fee per order plus $0.75 per carnation Ben's Blooms charges a $10.00 fee per order plus $0.25 per carnation for an order. Gracie tells you the equation that would work with her shop: Using c to represent the total cost for an order of carnations and n to represent the number of carnations in the order, her equation is c=0.75n + 5.00 Ben is not sure how to write the equation for his shop. Fill in the following blanks to help him: C = nt
9514 1404 393
Answer:
c = 0.25n +10.00
Step-by-step explanation:
The form of the equation is ...
c = <cost per carnation>n + <fixed fee>
For Ben's shop, the equation would be ...
c = 0.25n + 10.00
The measure of an angle is 89. Find the measure of its supplement
Step-by-step explanation:
Supplementary angles are equal to 180°. To determine the supplement of any angle, subtract the given angle from 180°.
[tex] \text{Supplement \: of \: 89 \: \degree = 180 \degree - 89\degree = \boxed{ \bold{ \text{91\degree}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
# [tex] { \underbrace{ \text{Carry \: On \: Learning}}}[/tex] !! ✎
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AB, BC and CD are three sides of a regular polygon with centre o.
ABX is a straight line.
Angle BCD = 140°
0 Calculate the size of each of the angles marked v, w, x, y and z.
Pls help 10 points
Answer:
Step-by-step explanation:
Since, BC and DC are the sides of a regular polygon,
m(DC) = m(BC)
Opposite angles of these equal sides will be equal in measure.
m∠DBC = m∠CDB = v
By triangle sum theorem,
m∠DBC + m∠CDB + m∠DCB = 180°
v + v + 140° = 180°
2v = 40°
v = 20°
Since angle 'x' is an exterior angles of ΔBCD,
x = m∠BDC + m∠CBD [By the property of exterior angles]
x = v + v
x = 40°
Since, angles v, w and x are the linear angles,
v + w + x = 180°
20° + w + 40° = 180°
w = 120°
Since, measure of exterior angle = [tex]\frac{360}{n}[/tex]
n = Number of sides
40° = [tex]\frac{360}{n}[/tex]
n = 9
Sum of angles formed at the center by joining vertices of the polygon = 360°
Measure of each angle at the center of a polygon with 9 sides = [tex]\frac{360}{9}[/tex]
= 40°
Since, z = 3 × (Measure of central angle formed at the center)
= 3 × 40°
= 120°
In ΔOAB,
m∠OAB + m∠OBA + m∠AOB = 180°
y + y + 40° = 180° [m∠OAB = m∠OBA, Opposite angles of the equal sides OA and OB]
2y = 140°
y = 70°
A set of pens sells for $5.25 and costs $1.80 to make. Forty percent of the profit (the difference between the purchase price and the amount it costs to make) from each set of pencils goes to a school. If 1200 sets are sold, what is the amount of money that will go to the school?
The amount of money that will go to the school is $ 3816.00
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The sale price of set of pens = $ 5.25
The cost price of set of pens = $ 1.80
The profit of pens = sale price of set of pens - cost price of set of pens
= $ 5.25 - $ 1.80
= $ 3.45
Now , the equation will be
Forty percentage of profit = ( 40 / 100 ) x $ 3.45
= $ 1.38
The amount that will go to the school =
Forty percentage of profit + cost price of set of pens
The amount that will go to the school for 1 set of pen = $ 1.38 + $ 1.80
= $ 3.18
The equation will be ,
Now , the total number of sets of pens sold = 1200
And , the total cost price of 1200 sets of pens =
cost price of set of pens x 1200
The total cost price of 1200 sets of pens = $ 1.80 x 1200
= $ 2160
The total profit of 1200 sets of pens = Forty percentage of profit x 1200
= $ 1.38 x 1200
= $ 1656
Therefore , the amount that will go to the school for 1200 sets of pens =
total cost price of 1200 sets of pens + total profit of 1200 sets of pens
The amount that will go to the school for 1200 sets of pens
= $ 2160 + $ 1656
The amount that will go to the school for 1200 sets of pens = $ 3816
Therefore ,
The amount that will go to the school = $ 3816.00
Hence , The amount of money that will go to the school is $ 3816.00
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Madison is starting her own sewing business. Madison has calculated that she needs to earn $840 per week to support her family. If she knows she will only be able to work 75 hours per week, what is the minimum amount of dollars per hour that she will need to charge her customers?
Answer:
$11.20 per hour
Explanation:
x = dollars per hour
75x = 840
x = 11.20
three times the cost is 24$.
Answer:
72
Step-by-step explanation:
24 x 3 = 72
20 x 3 = 60
4 x 3 = 12
60+12= 72
HELPPP 40 POINTSS......
Answer:
the answer is 4
Step-by-step explanation:
Answer: The answer to question 3 is 6. The answer to question 4 is 4.
Step-by-step explanation: In question 3, if you plug in 6, that gives us 12+5. 12+5 is 17. In question 4, you can turn the words into an equation like this: 2n + 3 = 11. Plug in 4 and that gets you to 8 + 3. 8+3 is 11.
A department store buys 200 shirts at a cost of $5,400 and sells them at a selling
price of $30 each. Find the percent markup.
The percent markun ico
please help
Number of shirts a department store bought = 200
Cost price of 200 shirts = $5400
Cost price of 1 shirt :
[tex] =\tt \frac{5400}{200} [/tex]
[tex]\color{plum} =\tt \$27[/tex]
Thus, the cost price of one shirt = $27
Price at which the department store sold each shirt = $30
Which means :
▪︎Cost price of shirt = $27
▪︎Selling price of shrit = $30
Since selling price is greater than cost price, there was a markup in the price of the shirts.
We know that :
[tex] \color{hotpink}\tt \: markup \: percentage = \color{plum} \frac{selling \: price - cost \: price}{cost \: price } \times 100[/tex]
Markup percentage in the price of the shirts :
[tex] = \tt \frac{30 - 27}{27} \times 100[/tex]
[tex] = \tt \frac{3}{27} \times 100[/tex]
[tex] = \tt \frac{3 \times 100}{27} [/tex]
[tex] = \tt \frac{300}{27} [/tex]
[tex] \color{plum} = \tt11.1 \%[/tex]
Thus, the percentage of markup = [tex] \tt 11.1 \% [/tex]
Therefore, the percentage of markup in the shirt's price = [tex] \color{hotpink} \tt11.1 \% [/tex]
Answer:
11.11%
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Is A PQR-AXYZ? If so, name which similarity postulate or
theorem applies.
A. Similar - AA
B. Similar - SSS
C. Similar - SAS
D. Cannot be determined
Answer:
D. Cannot be determined
Step-by-step explanation:
Similarly between given triangles can not be determined because given information are insufficient.
The correct option for the given triangles is D. Cannot be determined
What are similar triangles?Any two triangles will be considered as similar as they have congruent corresponding angles and the corresponding sides are in equal ratios.
Two shapes are Similar when one can become the other after a resize, flip, slide or turn.
Given are two triangle PWR and XYZ we need to determine whether they are similar or not,
So, we only have measurement of a pair of sides and measurement of an angle,
We have some similarity rules by which we can prove two triangles to be similar, they are :-
AA rule, Side Angle Side (SAS), Side Side Side (SSS) and Right-angle Hypotenuse Side (RHS)
Since, we do not enough information to conclude our discussion.
Hence, the correct option is D. Cannot be determined
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A store pays $11 for a set of spoons and marks the price up by 30%. What is the amount of the markup?
Answer:
[tex]\$3.3[/tex]
Step-by-step explanation:
Given:
Amount paid by a store for a set of spoons = $11
Percentage increase in price = 30%
To find: amount of the mark up
Solution:
To find amount of the mark up, find 30% of (amount paid by a store for a set of spoons)
Amount of the mark up = [tex]\frac{30}{100} (11)=\$3.3[/tex]
what is the distance between-2 and -5 on the number line?
Answer:
3
Step-by-step explanation:
on a number line, we use the absolute values to find the difference.
the absolute value of -2 is 2
the absolute value of -5 is 5
5-2=3
so, the distance between -2 and -5 on a number line is 3
Find 6m if m = 5/13
6 5/13
5
2 4/12
5/78
Write an integer for this situation: 5 feet below sea level
A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level. What is the distance between the heights of the pelican and the heron
A.67 feet
B. -67
C. 33
D.-33
Answer:
Its C
Step-by-step explanation:
15 POINTS! PLEASE HELP ASAP! WILL GIVE BRAINLIEST!