By using what we know about octagons, we will see that:
a) The area is 244.89 in^2b) The diameter is 18.58 inWhat is the area of the larger octagon?
For an octagon of side length S, the area is:
A = 2*(1 + √2)*S^2
In this case, the area of the smaller octagon is:
19.28 in^2 = 2*(1 + √2)*S^2
Solving for S we get:
S = √( 19.28 in^2/(2*(1 + √2))) = 2.03 in
If we apply an enlargement of a factor 3.5, the new side length is:
S' = 3.5*2.03 in = 7.11 in
Then the area of the larger octagon is:
A' = 2*(1 + √2)*(7.11 in)^2 = 244.89 in^2
b) For an octagon of side length S, the radius is:
R = S*√(1 + 1/√2)
Then the radius of the larger octagon is:
R' = (7.11 in)*√(1 + 1/√2) = 9.29 in
Then the diameter of the box must be:
D = 2*R' = 2*9.29 in = 18.58 in
If you want to learn more about octagons, you can read:
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Help me on this question please!
[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]
═════════════════════
[tex]x+5[/tex]
[tex]x^{1-1} [/tex]
[tex]x^{0} [/tex]
[tex] = 1 [/tex]
─────────────────────┈
[tex](2x + 3)[/tex]
[tex]2x^{1-1} [/tex]
[tex]2x^{0} [/tex]
[tex]2\times 1 [/tex]
[tex] = 2[/tex]
══════════════════════
Step-by-step explanation:
#Carry on learning
Please help me solve this
Answer:
The length of river D is 2550
length of river C is 2550+500=3050
Step-by-step explanation:
Let the river D be 'x'
and the river C is (x+500)
x + x + 500 = 5600
2x + 500 = 5600
2x = 5600 - 500
2x = 5100
x = 5100/2
x = 2550
The length of river D is 2550
length of river C is 2550+500=3050
Find the area of the shaded sector of the circle. Give the exact answer in terms of straight pi.
A circle has a central angle that measures 120 degrees and a radius of 8.
fraction numerator 48 straight pi over denominator 9 end fraction units squared
fraction numerator 64 straight pi over denominator 3 end fraction units squared
fraction numerator 32 straight pi over denominator 3 end fraction units squared
fraction numerator 16 straight pi over denominator 9 end fraction units squared
The area of the sector that has a central angle of 120 degrees and radius of 8 units is 64π / 3 units²
Area of a sectorThe area of a sector is defined as follows:
area = ∅ / 360 × πr²
where
r = radius∅ = central angleTherefore,
r = 8
∅ = 120°
Hence,
area of the sector = 120 / 360 × π × 8²
area of the sector = 1 / 3 × π × 64
area of the sector = 64π / 3 units²
learn more on area here: https://brainly.com/question/12655272
Marvin has a vintage comic book worth $351. According to a dealer, the value of this particular comic book will increase by 12.1% each year. How much will the comic book be worth in 13 years?
If necessary, round your answer to the nearest cent.
Two angles in a triangle add up to 152 degrees.
what is the size of the third angle?
Answer:
28 degrees
Step-by-step explanation:
A triangle is 180 degrees. 180-152=28.
Answer:
The third angle is 28 degrees
Step-by-step explanation:
A triangle has to add up to 180 degrees so just take 180 subtract your 152 from it and you'll have your answer!. (180 - 152 = 28) Hope this helps! :)
A collectible car has been going up in price by 10% each year. if the car is already worth $29,000, how much will the car be
worth in 5 years?
The worth of the collectible car in five years if its value is going up by 10% every year would be $46,704.79
What is the worth of the car?If the value of the collectible car is increasing with time, it is said that the collectible car is appreciating in value.
The formula for calculating future value with appreciation:
FV = P (1 + r)^n
FV = Future value P = Present value R = interest rate N = number of years$29,000(1.1^5) = $46,704.79
To learn more about future value, please check: https://brainly.com/question/18760477
What is the value of y in the equation 2 + y = −3?
I believe that y is equal to -5.
y=-5
one trillion one hundred eighty-six billion two hundred million in number form
Step-by-step explanation:
1,186,200,000,000 in standard form
At what position on the number line is the red dot located?
A.
0.25
B.
0.75
C.
0.5
D.
0
Answer:
C. 0.5..................
What’s 70x56,000+65,000,000
Which expression is equivalent to 3 square root of x^5 y
[tex] \sqrt[3]{ {x}^{5}y } = {x}^{ \frac{5}{3} } {y}^{ \frac{1}{3} } \\ [/tex]
Thus the second option is the correct answer
Baba Clothing store is a having a 5% off sale on all of its clothing. Which expression represents the discounted price if p is the original price?
Answer:
The total of the prices of all of the baby shirts and sweaters that the store sold during the sale was $420.00. It's possible that 12 sweaters and 8 shirts are sold a bargen
Step-by-step explanation:
Nidah writes down two different prime numbers.
She adds together her two numbers.
Her answer is a square number less than 30
Find two prime numbers that Nidah could have written down.
Mathematician
Answer:
2 and 3
Step-by-step explanation:
prime numbers=2,3,4,5,...
taking 2 and 3
2+3=5
5²=25
hence the different prime numbers are 2 and 3
The numbers can be (2, 7), (2, 23), (3, 13), (5, 11)
What are Prime Numbers?A prime number is a whole number greater than 1 whose only factors are 1 and itself.
Given that, Nidah writes down two different prime numbers.
She adds together her two numbers.
Her answer is a square number less than 30
Square numbers less than 30 are = 1, 4, 9, 16, 25
The pairs of numbers that can satisfy the given condition are;
2 + 7 = 9
2 +23 = 25
3 + 13 = 16
5 + 11 = 16
Hence, Nidah could have chosen from these numbers (2, 7), (2, 23), (3, 13), (5, 11)
For more reference on Prime numbers, click;
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#SPJ2
i will give brainliest to the first to answer
Answer:
2/6 = 1/3
8/1 = 8
2/4 = 4/8
2/8 = 1/4
4/4 = 1
Step-by-step explanation:
2/2 = 1 and 6/2 = 3 so that would make the equivalent fraction 1/3
for 8/1 it is the same as just 8
2*2 = 4 and 4*2 = 8 so that would make the equivalent fraction 4/8
the same goes for 2/8 which is 1/4
and 4/4 is just 1
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
Answer:
2/6=1/3
8/1=8
2/4=4/8
2/8=1/4
4/4=1
14) $400 interest is earned on a principal of $2,000 at a simple interest rate of 5%
interest per year. For how many years was the principal invested?
ок
4 years
Step-by-step explanation:[tex]per\ year\ earn:2000\times 5\%=100[/tex]
[tex]years\ needed:\ \ \ \ \ 400\div 100=4[/tex]
I hope this helps you
:)
Answer:
4 years
Step-by-step explanation:
Given data
Simple interest= $400
Principal= $2000
Rate= 5%
The simple interest formula is given as
SI=PRT/100
substitute and solve for T
400=2000*5*T/100
cross multiply
400*100= 10000*T
40000=10000T
T= 40000/10000
T= 4 years
Hence the time taken is 4 years
Which is equivalent to 4 (9) 1/2 ^x
O 9^2x
O 9 1/8 ^x
O (9)^x
O 6(9) ^x
Answer:
36/2^x
Step-by-step explanation:
= 4 X 9 x 1/2^x
= 36/2^x
What is the value of w in the equation 2(2w − 16) = 0?
Answer:
[tex]w=8[/tex]
Step-by-step explanation:
[tex]2(2w-16)=0\\4w-32=0\\4w=32\\w=8[/tex]
Answer:
w = 8
Step-by-step explanation:
2(2w − 16) = 0
Divide each side by 2
2w-16 = 0
Add 16 to each side
2w-16 +16 =0 +16
2w = 16
Divide each side by 2
2w/2 = 16/2
w = 8
what are irrational numbers? give examples.
Answer:
set of numbers that cannot be represented in form of a/b
examples square root of 2, 3, 5 and 6
heres another one of those impossible looking problems for another chance for a brainly no links please
Answer:
B. X=6 onlyStep-by-step explanation:
Isolate the term of x from one side of the equation.
[tex]\sf{\sqrt{2x-3}=x-3}[/tex]
2x-3=x²-6x+9
Solve.
[tex]\sf{2x-3=x^2-6x+9=\boxed{\sf{x=6}}[/tex]
Therefore, the solution is x=6, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
Is my answer correct?
Answer:
No, not all of them are correct.
Step-by-step explanation:
The first one that u picked is incorrect. The second one is correct. And so it the third. I'm not so sure about the last one but pls MARK BRAINLIEST IF IT IS CORRECT
5. The dot plot shows a random sample
of the number of migrating geese
flocks observed by 25 participants
during a two-day hike.
Day 1
Day 2
IN
+ +
+ + + + +
2 3 4 5 6 7 2 3 4 5 6 7
Number of Flocks Observed Number of Flocks Observed
Use the mean value of each data set to
make an inference about the number
of flocks observed each day.
Using the dot plot, the inference is that the number of flocks observed on the second day was less than in the first.
What does a dot plot show?The dot plot shows the number of times each measure appears in the data-set.
Hence, the mean of the data-set corresponding to day 1 is given by:
M1 = (4 x 4 + 7 x 5 + 7 x 6 + 7 x 7)/25 = 5.68
And the mean of the data-set corresponding to day 2 is given by:
M2 = (2 x 8 + 3 x 7 + 4 x 6 + 5 x 4)/25 = 3.24.
M1 > M2, hence, the inference is that the number of flocks observed on the second day was less than in the first.
More can be learned about dot plots at https://brainly.com/question/24912483
Write down the first 4 terms of a sequence that starts at 0 and decreases by 6 in each term.
Answer:
0, -6, -12, -18
Step-by-step explanation:
start at 0, then subtract by 6 to get -6. then subtract 6 again to get -12. then subtract 6 again to get -18.
please give brainliest!!!!
which set is an example of like fractions?
A. 1/2 and 3/2
B. 2/1 and 2/3
C. 7/4 and 4/7
D. 10/10 and 5:5
Answer:
like fractions have the same denominator. So A is correct
Fine The Gradient of the curve xy=6, at point 1 & 6.
[tex] \\ \\ \\ \\ \\ \\ \\ [/tex]
Thnx ~~
Answer:
[tex]\fbox{Gradient of curve = -6}[/tex]
Step by step explanation:
Given:
Equation of curve ↦ xy = 6
Point ↦(1,6)
To find:
The gradient of curve = ?
Solution:
[tex]Using \: the \: equation, \\ xy = 6 \\ [/tex]
Taking log both the side,
[tex]log(xy) = log(6) \\ log(x) + log(y) = log(6) \\ Taking \: derivative \: both \: the \: side \\ \frac{1}{x} + \frac{1}{y} \cdot\frac{dy}{dx} = \: 0 \\ (Derivative \: of \: any \: constant =0) \\ \frac{1}{y} \cdot\frac{dy}{dx} = - \frac{1}{x} \\ \frac{dy}{dx} = - \frac{y}{x} \\ To \: find \: gradient \: at \: point (1,6) \\ \frac{dy}{dx} \mid_{(1,6)} = \frac{ - 6}{1} \\ \frac{dy}{dx} \mid_{(1,6)} = - 6 \\ \fbox{Gradient of curve = -6}[/tex]
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If the point (x,square root 3/2) is on the unit circle, what. is x?
Answer:
[tex]x=\pm\frac{1}{2}[/tex]
Step-by-step explanation:
On a unit circle, [tex](x,y)=(\cos\theta,\sin\theta)[/tex], so [tex]\sin\theta=\frac{\sqrt{3}}{2}[/tex] in this case. If you look at the attached circle, the only time that the y-coordinate is [tex]\frac{\sqrt{3}}{2}[/tex] is when [tex]x=-\frac{1}{2}[/tex] and [tex]x=\frac{1}{2}[/tex], which correspond to angles of [tex]\theta=\frac{2\pi}{3}[/tex] and [tex]\theta=\frac{\pi}{3}[/tex] respectively
What is the totale of the recta
square meter
PLEASE HELP ASAP Here is the question afterward:
17 (1/5) × 17,5 = 301
,..,.
HELPPPP Two planes leave the airport at noon, one traveling east at 300 km/h and the other traveling northwest at 45 km/h. How far apart are they at 2 pm?
How far both planes travelled is an illustration of distance
Both planes are 510 km apart at 2 pm
How to determine their distance apart?The rates of the two planes are given as:
Plane A = 300km/h
Plane B = 45km/h
Calculate the difference (r) in their rates
r = 300km/h - 45km/h
This gives
r = 255km/h
At 2 pm, both planes have travelled for 2 hours.
So, the distance between them is:
d = 255 * 2
d = 510km
Hence, both planes are 510 km apart at 2 pm
Read more about distance and speed at:
https://brainly.com/question/4931057
Geena can rent an apartment for $850 per month or she can buy a house for $175,000 at 3.875% interest for 30 years. How much will each housing choice cost for one year?
A. Price of Renting:
B. Price of Buying:
Using simple interest, it is found that the prices are as follows:
A. $10,200.
B. $12,614.58.
Simple InterestSimple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount.r is the interest rate, as a decimal.Item a:
$850 for 12 months, hence the yearly cost is:
P = 850 x 12 = $10,200.
Item b:
The total cost is found using simple interest with A(0) = 175000, t = 30, r = 0.03875, hence:
A(t) = A(0)(1 + rt)
A(30) = 175000[1 + 0.03875(30)]
A(30) = 378437.5.
The yearly cost is given by:
378437.5/30 = $12,614.58.
More can be learned about simple interest at https://brainly.com/question/25296782
A salesperson earned x dollars last year. The salesperson earned 25% more money this year than last
year. Which expressions represent the amount, in dollars, the salesperson earned this year?
Drag and drop each correct expression into the box.
HELP PLS
More earnings:-
25% of x0.25xTotal earnings this year
x+0.25x(1+0.25)x$1.25xAnswer:
[tex]\$ \huge{\text{(} \dfrac{x}{4} \ + \ \dfrac{4x}{4} \huge{\text{)}[/tex]
Step-by-step explanation:
Given:
Last year: $x
Determining the money earned for this year:
This year = 25% more than last year
= $25x/100 + $x
= $x/4 + $4x/4
The expression that represents the money earned this year is $x/4 + $4x/4.