MathsGee Answers - Recent questions tagged calculate
https://mathsgee.com/tag/calculate
Powered by Question2AnswerHow do I derive the formula for the Arithmetic Sequence?
https://mathsgee.com/25175/how-do-i-derive-the-formula-for-the-arithmetic-sequence
How do I derive the formula for the Arithmetic Sequence?Mathematicshttps://mathsgee.com/25175/how-do-i-derive-the-formula-for-the-arithmetic-sequenceMon, 22 Feb 2021 08:14:09 +0000Make $x$ the subject of the formula in $5 = \pi(\frac{\sqrt{x}}{x-1})$
https://mathsgee.com/25171/make-x-the-subject-of-the-formula-in-5-pi-frac-sqrt-x-x-1
Make $x$ the subject of the formula in <br />
<br />
$$5 = \pi(\frac{\sqrt{x}}{x-1})$$Mathematicshttps://mathsgee.com/25171/make-x-the-subject-of-the-formula-in-5-pi-frac-sqrt-x-x-1Mon, 22 Feb 2021 08:08:01 +0000Simplify the expression $(x+y)[z+w]$
https://mathsgee.com/25170/simplify-the-expression-x-y-z-w
Simplify the expression $(x+y)[z+w]$Mathematicshttps://mathsgee.com/25170/simplify-the-expression-x-y-z-wMon, 22 Feb 2021 08:06:45 +0000Make $x$ the subject of the formula for $\sqrt[4]{x-y} = 7$
https://mathsgee.com/25169/make-x-the-subject-of-the-formula-for-sqrt-4-x-y-7
Make $x$ the subject of the formula for $\sqrt[4]{x-y} = 7$Mathematicshttps://mathsgee.com/25169/make-x-the-subject-of-the-formula-for-sqrt-4-x-y-7Mon, 22 Feb 2021 08:05:19 +0000Make $x$ the subject of the formula for $\frac{x+y}{2} =8$
https://mathsgee.com/25168/make-x-the-subject-of-the-formula-for-frac-x-y-2-8
Make $x$ the subject of the formula for $\frac{x+y}{2} =8$Mathematicshttps://mathsgee.com/25168/make-x-the-subject-of-the-formula-for-frac-x-y-2-8Mon, 22 Feb 2021 08:02:57 +0000What is a quadratic sequence?
https://mathsgee.com/25163/what-is-a-quadratic-sequence
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<div>What is a quadratic sequence?</div>Mathematicshttps://mathsgee.com/25163/what-is-a-quadratic-sequenceMon, 22 Feb 2021 07:49:24 +0000Given the quadratic sequence: $321 ; 290 ; 261 ; 234 ; .... $. Write down the values of the next TWO terms of the sequence.
https://mathsgee.com/25158/given-quadratic-sequence-321-write-values-terms-sequence
Given the quadratic sequence: $321 ; 290 ; 261 ; 234 ; .... $. Write down the values of the next TWO terms of the sequence.Mathematicshttps://mathsgee.com/25158/given-quadratic-sequence-321-write-values-terms-sequenceSat, 20 Feb 2021 15:57:13 +0000What is the value of 3784÷17?
https://mathsgee.com/25156/what-is-the-value-of-3784-17
What is the value of 3784÷17?Mathematicshttps://mathsgee.com/25156/what-is-the-value-of-3784-17Sat, 20 Feb 2021 15:40:52 +0000Builders mix concrete using sand, stones (gravel) and cement in the ratio 3 : 2 : 1. If the builder needs to mix 360kg of cement, how much of each constituent does he need?
https://mathsgee.com/25154/builders-concrete-stones-gravel-cement-builder-constituent
Builders mix concrete using sand, stones (gravel) and cement in the ratio 3 : 2 : 1. If the builder needs to mix 360kg of cement, how much of each constituent does he need?Mathematicshttps://mathsgee.com/25154/builders-concrete-stones-gravel-cement-builder-constituentSat, 20 Feb 2021 12:20:17 +0000A jewellery store runs a promotion of 20% discount on all their watches.
https://mathsgee.com/25151/jewellery-store-runs-promotion-20-discount-their-watches
A jewellery store runs a promotion of 20% discount on all their watches. <br />
<br />
a) How much discount will you get on a watch with a price tag of R899,95? <br />
<br />
b) What is the sale price of the watch?Mathematicshttps://mathsgee.com/25151/jewellery-store-runs-promotion-20-discount-their-watchesSat, 20 Feb 2021 12:17:57 +0000A pair of jeans is on sale with a mark down of 20%. If the original price of the jeans was R199,00, what is the sale price?
https://mathsgee.com/25145/jeans-sale-with-mark-original-price-jeans-r199-what-sale-price
A pair of jeans is on sale with a mark down of 20%. If the original price of the jeans was R199,00, what is the sale price?Mathematicshttps://mathsgee.com/25145/jeans-sale-with-mark-original-price-jeans-r199-what-sale-priceSat, 20 Feb 2021 12:11:16 +0000Nomalizo receives a salary increase of 7%. If her new salary is R10 600, what was her salary before the increase?
https://mathsgee.com/25144/nomalizo-receives-salary-increase-salary-before-increase
Nomalizo receives a salary increase of 7%. If her new salary is R10 600, what was her salary before the increase?Mathematicshttps://mathsgee.com/25144/nomalizo-receives-salary-increase-salary-before-increaseSat, 20 Feb 2021 12:10:48 +0000The price of petrol increases by 12%. The original price was R10,70 per litre. What is the new petrol price
https://mathsgee.com/25143/price-petrol-increases-original-price-litre-what-petrol-price
The price of petrol increases by 12%. The original price was R10,70 per litre. What is the new petrol priceMathematicshttps://mathsgee.com/25143/price-petrol-increases-original-price-litre-what-petrol-priceSat, 20 Feb 2021 12:10:26 +0000What is 18% of 300?
https://mathsgee.com/25140/what-is-18-of-300
What is 18% of 300?Mathematicshttps://mathsgee.com/25140/what-is-18-of-300Sat, 20 Feb 2021 12:09:05 +0000How many litres of petrol will you be able to buy for R700,00 (rounded off to the nearest litre)?
https://mathsgee.com/25136/many-litres-petrol-will-able-r700-rounded-the-nearest-litre
Petrol costs R13,20 per litre. <br />
<br />
a) How much will you pay for 25 of petrol? <br />
<br />
b) How many litres of petrol will you be able to buy for R700,00 (rounded off to the nearest litre)?Mathematicshttps://mathsgee.com/25136/many-litres-petrol-will-able-r700-rounded-the-nearest-litreSat, 20 Feb 2021 12:05:36 +0000A photo shop can only make a 3 to 7 enlargement of a photograph of 15 cm. Give the measurement of an enlarged photograph.
https://mathsgee.com/25135/enlargement-photograph-measurement-enlarged-photograph
A photo shop can only make a 3 to 7 enlargement of a photograph of 15 cm. Give the measurement of an enlarged photograph.Mathematicshttps://mathsgee.com/25135/enlargement-photograph-measurement-enlarged-photographSat, 20 Feb 2021 12:04:20 +0000How much money did each person get?
https://mathsgee.com/25134/how-much-money-did-each-person-get
Tefo and Tozi sold flowers at a road side stall. Tefo worked for 6 hours and Tozzi worked for 4 hours. They decided to split their profit of R1 595, 60 in the same ratio as the number of hours they worked. How much money did each person get?Mathematicshttps://mathsgee.com/25134/how-much-money-did-each-person-getSat, 20 Feb 2021 12:03:58 +0000James enters a lift. He gets out on the eleventh floor, but realises that it is the wrong floor. He then goes four floors down and three floors up. At which floor is he?
https://mathsgee.com/25126/james-enters-eleventh-realises-floors-three-floors-which-floor
James enters a lift. He gets out on the eleventh floor, but realises that it is the wrong floor. He then goes four floors down and three floors up. At which floor is he?Mathematicshttps://mathsgee.com/25126/james-enters-eleventh-realises-floors-three-floors-which-floorSat, 20 Feb 2021 11:50:59 +0000In Japan a daytime temperature of $10^{\circ}C$ can drop by $6$ degrees during the night. What will the temperature be then?
https://mathsgee.com/25125/japan-daytime-temperature-degrees-during-night-temperature
In Japan a daytime temperature of $10^{\circ}C$ can drop by $6$ degrees during the night. What will the temperature be then?Mathematicshttps://mathsgee.com/25125/japan-daytime-temperature-degrees-during-night-temperatureSat, 20 Feb 2021 11:50:15 +0000What is the perimeter of the building if the breadth is 20m and the length is 2362,2 inches.
https://mathsgee.com/25124/what-perimeter-the-building-the-breadth-length-2362-inches
What is the perimeter of the building if the breadth is 20m and the length is 2362,2 inches.Mathematicshttps://mathsgee.com/25124/what-perimeter-the-building-the-breadth-length-2362-inchesSat, 20 Feb 2021 11:44:58 +0000Mike invests R5,000.00 at 8% interest compounded annually for a period of 5 years.
https://mathsgee.com/25122/mike-invests-000-interest-compounded-annually-period-years
Mike invests R5,000.00 at 8% interest compounded annually for a period of 5 years. What was the interest in this period?Mathematicshttps://mathsgee.com/25122/mike-invests-000-interest-compounded-annually-period-yearsSat, 20 Feb 2021 11:17:12 +0000Mike invests $R5,000.00$ at $10\%$ interest compounded annually. What is the interest calculation for the first year of the investment?
https://mathsgee.com/25120/interest-compounded-annually-interest-calculation-investment
Mike invests $R5,000.00$ at $10\%$ interest compounded annually. What is the interest calculation for the first year of the investment?Mathematicshttps://mathsgee.com/25120/interest-compounded-annually-interest-calculation-investmentSat, 20 Feb 2021 11:13:18 +0000If Peter invests R1 000,00 at 8% simple interest per annum paid quarterly. What is the interest earned in a year?
https://mathsgee.com/25118/peter-invests-simple-interest-annum-quarterly-interest-earned
If Peter invests R1 000,00 at 8% simple interest per annum paid quarterly. What is the interest earned in a year?Mathematicshttps://mathsgee.com/25118/peter-invests-simple-interest-annum-quarterly-interest-earnedSat, 20 Feb 2021 11:06:41 +0000If Peter invests R1,000.00 at 8% simple interest per annum (per year). What is the interest for the first year of this investment?
https://mathsgee.com/25116/peter-invests-simple-interest-annum-interest-first-investment
If Peter invests $R1,000.00$ at $8\%$ simple interest per annum (per year). What is the interest for the first year of this investment?Mathematicshttps://mathsgee.com/25116/peter-invests-simple-interest-annum-interest-first-investmentSat, 20 Feb 2021 10:59:41 +0000Solve for $x$ in the equation $−x^2−3x+5\geq 0$
https://mathsgee.com/25113/solve-for-x-in-the-equation-x-23x-5-geq-0
Solve for $x$ in the equation $−x^2−3x+5\geq 0$Mathematicshttps://mathsgee.com/25113/solve-for-x-in-the-equation-x-23x-5-geq-0Sat, 20 Feb 2021 08:23:36 +0000Solve for $x$ in the equation $ x^2−5x+6 \geq 0$
https://mathsgee.com/25111/solve-for-x-in-the-equation-x-25x-6-geq-0
Solve for $x$ in the equation $ x^2−5x+6 \geq 0$Mathematicshttps://mathsgee.com/25111/solve-for-x-in-the-equation-x-25x-6-geq-0Sat, 20 Feb 2021 08:20:50 +0000Let $f$ be a function such that $f(2 − 3x) = 4 − x$. Find the value of $\Sigma^{12}_{i=1}f(i)$
https://mathsgee.com/25109/let-f-be-function-such-that-f-3x-x-find-the-value-of-sigma-12
Let $f$ be a function such that $f(2 − 3x) = 4 − x$. Find the value of $\Sigma^{12}_{i=1}f(i)$Mathematicshttps://mathsgee.com/25109/let-f-be-function-such-that-f-3x-x-find-the-value-of-sigma-12Sat, 20 Feb 2021 07:37:50 +0000What is the area of $\triangle{ABC}$?
https://mathsgee.com/25107/what-is-the-area-of-triangle-abc
Equilateral triangle $DEF$ is inscribed in equilateral triangle $ABC$ with $DE ⊥ BC$. If the area of $\triangle{DEF}$ is $6 \text{cm}^2$ , what is the area of $\triangle{ABC}$?Mathematicshttps://mathsgee.com/25107/what-is-the-area-of-triangle-abcSat, 20 Feb 2021 07:35:18 +0000What is $\Sigma^{2009}_{n=1}f(n) $?
https://mathsgee.com/25106/what-is-sigma-2009-n-1-f-n
For any positive integer $n$, define<br />
<br />
$$ f(n)= \begin{cases} \log_{9}n \qquad \text{if} \log_{9}n \qquad \text{is rational}, \\ 0 \qquad \text{otherwise} \end{cases} $$<br />
<br />
What is $\Sigma^{2009}_{n=1}f(n) $?Mathematicshttps://mathsgee.com/25106/what-is-sigma-2009-n-1-f-nSat, 20 Feb 2021 07:32:41 +0000Calculate the sum $\dfrac{a_0}{ a_1} + \dfrac{a_1}{ a_2} + · · · + \dfrac{a_{2008}}{ a_{2009} }$
https://mathsgee.com/25102/calculate-the-sum-dfrac-a0-a1-dfrac-a1-a2-dfrac-2008-2009
The sequence ${a0, a1, a2, . . .}$ of real numbers satisfies the recursive relation <br />
<br />
$$n(n + 1)a_{n+1} + (n − 2)a_{n−1} = n(n − 1)a_{n}$$<br />
<br />
for every positive integer $n$, where $a_0 = a_1 = 1$. <br />
<br />
Calculate the sum <br />
<br />
$$\dfrac{a_0}{ a_1} + \dfrac{a_1}{ a_2} + · · · + \dfrac{a_{2008}}{ a_{2009} }$$Mathematicshttps://mathsgee.com/25102/calculate-the-sum-dfrac-a0-a1-dfrac-a1-a2-dfrac-2008-2009Sat, 20 Feb 2021 07:13:57 +0000Prove that there always exists an isosceles triangle inscribed in this circle such that all its vertices are colored the same.
https://mathsgee.com/25099/always-isosceles-triangle-inscribed-circle-vertices-colored
<p>Each point of a circle is colored either red or blue. </p>
<ol>
<li>Prove that there always exists an isosceles triangle inscribed in this circle such that all its vertices are colored the same. </li>
<li>Does there always exist an equilateral triangle inscribed in this circle such that all its vertices are colored the same?</li></ol>Mathematicshttps://mathsgee.com/25099/always-isosceles-triangle-inscribed-circle-vertices-coloredSat, 20 Feb 2021 07:06:44 +0000Let $k$ be a positive real number such that
https://mathsgee.com/25098/let-k-be-a-positive-real-number-such-that
Let $k$ be a positive real number such that<br />
<br />
$$\dfrac{1}{ k + a} + \dfrac{1}{ k + b} + \dfrac{1}{ k + c} ≤ 1$$<br />
<br />
for any positive real numbers $a, b$, and $c$ with $abc = 1$. Find the minimum value of $k$.Mathematicshttps://mathsgee.com/25098/let-k-be-a-positive-real-number-such-thatSat, 20 Feb 2021 07:05:52 +0000Evaluate the integral $\int_{0}^{1} \left ( 4x-1 \right )^{3}dx$
https://mathsgee.com/25094/evaluate-the-integral-int-0-1-left-4x-1-right-3-dx
Evaluate the integral $\int_{0}^{1} \left ( 4x-1 \right )^{3}dx$Mathematicshttps://mathsgee.com/25094/evaluate-the-integral-int-0-1-left-4x-1-right-3-dxSat, 20 Feb 2021 06:46:48 +0000Evaluate $\lim_{x \to \infty } \left ( \frac{2x^{2}-2x-3}{x^{2}-1} \right ) $
https://mathsgee.com/25091/evaluate-lim-x-to-infty-left-frac-2x-2-2x-3-x-2-1-right
Evaluate $\lim_{x \to \infty } \left ( \frac{2x^{2}-2x-3}{x^{2}-1} \right ) $Mathematicshttps://mathsgee.com/25091/evaluate-lim-x-to-infty-left-frac-2x-2-2x-3-x-2-1-rightSat, 20 Feb 2021 06:43:03 +0000$E = mc^2$, so how can anything have zero mass?
https://mathsgee.com/25088/e-mc-2-so-how-can-anything-have-zero-mass
$E = mc^2$, so how can anything have zero mass?Physicshttps://mathsgee.com/25088/e-mc-2-so-how-can-anything-have-zero-massSat, 20 Feb 2021 06:36:18 +0000How would you graph $E=mc^2$ on a graphing calculator?
https://mathsgee.com/25087/how-would-you-graph-e-mc-2-on-a-graphing-calculator
How would you graph $E=mc^2$ on a graphing calculator?Physicshttps://mathsgee.com/25087/how-would-you-graph-e-mc-2-on-a-graphing-calculatorSat, 20 Feb 2021 06:35:11 +0000Can $E=mc^2$ be also expressed as $mc=\sqrt E$?
https://mathsgee.com/25086/can-e-mc-2-be-also-expressed-as-mc-sqrt-e
Can $E=mc^2$ be also expressed as $mc=\sqrt E$?Mathematicshttps://mathsgee.com/25086/can-e-mc-2-be-also-expressed-as-mc-sqrt-eSat, 20 Feb 2021 06:34:21 +0000How to find the roots of $-x^3+3x^2-7x+5 = 0$?
https://mathsgee.com/25085/how-to-find-the-roots-of-x-3-3x-2-7x-5-0
How to find the roots of $-x^3+3x^2-7x+5 = 0$?Mathematicshttps://mathsgee.com/25085/how-to-find-the-roots-of-x-3-3x-2-7x-5-0Sat, 20 Feb 2021 06:31:01 +0000Does $x^2+3x^4+0(x^4)=x^2+0(x^3)$ hold true?
https://mathsgee.com/25084/does-x-2-3x-4-0-x-4-x-2-0-x-3-hold-true
Does $x^2+3x^4+0(x^4)=x^2+0(x^3)$ hold true?Mathematicshttps://mathsgee.com/25084/does-x-2-3x-4-0-x-4-x-2-0-x-3-hold-trueSat, 20 Feb 2021 06:29:35 +0000How do you solve $\dfrac{1}{2\sqrt{2x-5}-1}{2\sqrt{3x+4}}=-1$?
https://mathsgee.com/25083/how-do-you-solve-dfrac-1-2-sqrt-2x-5-1-2-sqrt-3x-4-1
How do you solve $\dfrac{1}{2\sqrt{2x-5 }-1}\cdot{2\sqrt{3x+4}}=-1$?Mathematicshttps://mathsgee.com/25083/how-do-you-solve-dfrac-1-2-sqrt-2x-5-1-2-sqrt-3x-4-1Sat, 20 Feb 2021 06:26:49 +0000How do you evaluate $\lim_{x \rightarrow 0} {\dfrac{\sqrt{4+x} - 2} {3x}}$
https://mathsgee.com/25082/how-do-you-evaluate-lim-x-rightarrow-0-dfrac-sqrt-4-x-2-3x
How do you evaluate $\lim_{x \rightarrow 0} {\dfrac{\sqrt{4+x} - 2} {3x}}$Mathematicshttps://mathsgee.com/25082/how-do-you-evaluate-lim-x-rightarrow-0-dfrac-sqrt-4-x-2-3xSat, 20 Feb 2021 06:22:39 +0000Evaluate the limit $\lim_{x\rightarrow 0}{(e^x+3x)}^{\dfrac{1}{x}} $?
https://mathsgee.com/25081/evaluate-the-limit-lim-x-rightarrow-0-e-x-3x-dfrac-1-x
Evaluate the limit $\lim_{x\rightarrow 0}{(e^x+3x)}^{\dfrac{1}{x}} $?Mathematicshttps://mathsgee.com/25081/evaluate-the-limit-lim-x-rightarrow-0-e-x-3x-dfrac-1-xSat, 20 Feb 2021 06:17:54 +0000Calculate $\displaystyle \lim_{x \to 0} \frac{x^2-\sin^2{x}}{\tan(3x^4)}$
https://mathsgee.com/25080/calculate-displaystyle-lim-x-to-0-frac-x-2-sin-2-x-tan-3x-4
<p><span style="color:#000000; font-family:monospace; font-size:medium"><span style="white-space:pre-wrap">Calculate $\displaystyle \lim_{x \to 0} \frac{x^2-\sin^2{x}}{\tan(3x^4)}$ How does one calculate this limit? Is it valid to say, since $\sin^2{x}$ is approximated by $x^2$ as $x \to 0$ , we have: $\displaystyle \lim_{x \to 0} \frac{x^2-\sin^2{x}}{\tan(3x^4)} $ $=\lim_{x \to 0} \frac{x^2-x^2}{\tan(3x^4)} =0 $</span></span></p>Mathematicshttps://mathsgee.com/25080/calculate-displaystyle-lim-x-to-0-frac-x-2-sin-2-x-tan-3x-4Sat, 20 Feb 2021 06:12:34 +0000Solve the equation $\frac{1}{(x-1)} - \frac{1}{(x-2)} = \frac{1}{(x-3)} - \frac{1}{(x-4)}$
https://mathsgee.com/25079/solve-the-equation-frac-1-x-1-frac-1-x-2-frac-1-x-3-frac-1-x-4
Solve the equation $\frac{1}{(x-1)} - \frac{1}{(x-2)} = \frac{1}{(x-3)} - \frac{1}{(x-4)}$Mathematicshttps://mathsgee.com/25079/solve-the-equation-frac-1-x-1-frac-1-x-2-frac-1-x-3-frac-1-x-4Sat, 20 Feb 2021 06:08:07 +0000If $\dfrac{(4 - x)}{(2 + x)} = x$, what is the value of $x^2 + 3x -4 $?
https://mathsgee.com/25078/if-dfrac-4-x-2-x-x-what-is-the-value-of-x-2-3x-4
If $\dfrac{(4 - x)}{(2 + x)} = x$, what is the value of $x^2 + 3x -4 $?Mathematicshttps://mathsgee.com/25078/if-dfrac-4-x-2-x-x-what-is-the-value-of-x-2-3x-4Sat, 20 Feb 2021 05:57:31 +0000How do you factorize $x^2+3x-4=0$ in order to solve the equation?
https://mathsgee.com/25077/how-do-you-factorize-x-2-3x-4-0-in-order-to-solve-the-equation
How do you factorize $x^2+3x-4=0$ in order to solve the equation?Mathematicshttps://mathsgee.com/25077/how-do-you-factorize-x-2-3x-4-0-in-order-to-solve-the-equationSat, 20 Feb 2021 05:52:05 +0000Solve the equation $x^2+3x+4=0$
https://mathsgee.com/25058/solve-the-equation-x-2-3x-4-0
Solve the equation $x^2+3x+4=0$Mathematicshttps://mathsgee.com/25058/solve-the-equation-x-2-3x-4-0Fri, 19 Feb 2021 18:33:47 +0000Let $AD$ and $BC$ intersect at point $E$, and $F$ be the midpoint of segment $BC$. If $AB^2 + AC^2 = 2AD^2$ , show that $EF = DF$
https://mathsgee.com/25052/let-ad-bc-intersect-point-midpoint-segment-bc-show-that
The bisector of $\angle{BAC}$ intersects the circumcircle of $\triangle{ABC}$ at a second point $D$. Let $AD$ and $BC$ intersect at point $E$, and $F$ be the midpoint of segment $BC$. If $AB^2 + AC^2 = 2AD^2$ , show that $EF = DF$Mathematicshttps://mathsgee.com/25052/let-ad-bc-intersect-point-midpoint-segment-bc-show-thatFri, 19 Feb 2021 05:53:53 +0000Let $a, b$, and $c$ be nonnegative real numbers such that $a + b + c = 1$.
https://mathsgee.com/25051/let-a-b-and-c-be-nonnegative-real-numbers-such-that-a-b-1
Let $a, b$, and $c$ be nonnegative real numbers such that $a + b + c = 1$.Prove that:<br />
<br />
$$a\sqrt{bc} + b\sqrt{ac} + c\sqrt{ab} ≤ \dfrac{1}{3} $$Mathematicshttps://mathsgee.com/25051/let-a-b-and-c-be-nonnegative-real-numbers-such-that-a-b-1Fri, 19 Feb 2021 05:51:16 +0000Let $AB$ and $BC$ be two consecutive sides of a regular pentagon inscribed in a unit circle (that is, a circle of radius 1 unit). Find the value of $(AB · AC)^2$
https://mathsgee.com/25049/consecutive-regular-pentagon-inscribed-circle-circle-radius
Let $AB$ and $BC$ be two consecutive sides of a regular pentagon inscribed in a unit circle (that is, a circle of radius 1 unit). Find the value of $(AB · AC)^2$Mathematicshttps://mathsgee.com/25049/consecutive-regular-pentagon-inscribed-circle-circle-radiusFri, 19 Feb 2021 05:47:26 +0000