what is a pie chart in mathematics

Answer: 8.26 m

Step-by-step explanation:

[tex]$$Let s be the length of the wire used for the square. \\Let $t$ be the length of the wire used for the triangle. \\Let $A_{S}$ be the area of the square. \\Let ${A}_{T}}$ be the area of the triangle. \\One side of the square is $\frac{s}{4}$ \\Therefore,we know that,$$A_{S}=\left(\frac{s}{4}\right)^{2}=\frac{s^{2}}{16}$$[/tex]

[tex]$$The formula for the area of an equilateral triangle is, $A=\frac{\sqrt{3}}{4} a^{2}$ where $a$ is the length of one side,And one side of our triangle is $\frac{t}{3}$So,We know that,$$A_{T}=\frac{\sqrt{3}}{4}\left(\frac{t}{3}\right)^{2}$$We have to find the value of "s" such that,$\mathrm{s}+\mathrm{t}=19$ hence, $\mathrm{t}=19-\mathrm{s}$And$$A_{S}+A_{T}=A_{S+T}$$[/tex]

[tex]$$Therefore,$$\begin{aligned}&A_{T}=\frac{\sqrt{3}}{4}\left(\frac{(19-s)}{3}\right)^{2}=\frac{\sqrt{3}(19-s)^{2}}{36} \\&A_{T+S}=\frac{s^{2}}{16}+\frac{\sqrt{3}(19-s)^{2}}{36}\end{aligned}[/tex]

[tex]$$Differentiating the above equation with respect to s we get,$$A^{\prime}{ }_{T+S}=\frac{s}{8}-\frac{\sqrt{3}(19-s)}{18}$$Now we solve $A_{S+T}^{\prime}=0$$$\begin{aligned}&\Rightarrow \frac{s}{8}-\frac{\sqrt{3}(19-s)}{18}=0 \\&\Rightarrow \frac{s}{8}=\frac{\sqrt{3}(19-s)}{18}\end{aligned}$$Cross multiply,$$\begin{aligned}&18 s=8 \sqrt{3}(19-s) \\&18 s=152 \sqrt{3}-8 \sqrt{3} s \\&(18+8 \sqrt{3}) s=152 \sqrt{3} \\&s=\frac{152 \sqrt{3}}{(18+8 \sqrt{3})} \approx 8.26\end{aligned}$$[/tex]

[tex]$$The domain of $s$ is $[0,19]$.So the endpoints are 0 and 19$$\begin{aligned}&A_{T+S}(0)=\frac{0^{2}}{16}+\frac{\sqrt{3}(19-0)^{2}}{36} \approx 17.36 \\&A_{T+S}(8.26)=\frac{8.26^{2}}{16}+\frac{\sqrt{3}(19-8.26)^{2}}{36} \approx 9.81 \\&A_{T+S}(19)=\frac{19^{2}}{16}+\frac{\sqrt{3}(19-19)^{2}}{36}=22.56\end{aligned}$$[/tex]

[tex]$$Therefore, for the minimum area, $8.26 \mathrm{~m}$ should be used for the square[/tex]

Mira would pay $187.2

"Tax rate = (Tax amount / Price before tax) × 100% "

"Tax amount = Final price - Price before tax"

For given question,

Mira buys a telescope that costs $180.

⇒ Price before tax = $180

sales tax = 4%

Let 'm' be the tax amount.

Using the formula of tax rate,

⇒ Tax rate = (Tax amount ÷ Price before tax) × 100%

⇒ 4% = ([tex]\frac{m}{180}[/tex]) × 100%

⇒ 0.04 × 180 = m

⇒ m = 7.2

Using the formula for the tax amount,

⇒ Tax amount = Final price - Price before tax

⇒  Final price = Tax amount + Price before tax

⇒  Final price = 7.2 + 180

⇒  Final price = $187.2

Therefore, Mira would pay $187.2

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Answer:

[tex]\huge\boxed{\sf 187.5\ gal.}[/tex]

Step-by-step explanation:

Given that:

For,

12 ft. height, gas tank can hold 450 gal.

Using unitary method:

12 ft = 450 gal.

Divide 12 to both sides

1 ft = 450/12 gal.

1 ft = 37.5 gal.

Multiply 5 to both sides

5 ft. = 37.5 × 5 gal.

5 ft. = 187.5 gal.

So, the height of 5 ft. holds 187.5 gal.

[tex]\rule[225]{225}{2}[/tex]

Answer:

187.5 gal

Step-by-step explanation:

A=lw

450=12(w)

450/12=37.5ft

A=lw

A=37.5(5)

A=187.5 gal

Hope that helps

Answer:

25 . 71 mph

Step-by-step explanation:

45 miles in 1.75 hr

45 miles / 1.75 hr = 25.71 mph

Answer:

33 1/4 or 33.25

Step-by-step explanation:

Answer:

Big bro I can barley read the image but here we go.

Angle B = 51

Angle E = 65?

So to solve if we know angle e is 65 and the angles are identical to eachother then we can say

4y - 3 = 65

4y = 62

y = 15.5

Answer:

D) -9

Step-by-step explanation:

2(x - 3) + 1 = 3x + 4

-> 2x - 6 + 1 = 3x + 4

-> 2x - 5 = 3x + 4

-> 2x - 3x = 4 + 5

-> -x = 9

-> x = - 9

Answer:how can you easily improve your family relationships by understanding personality types

Step-by-step explanation:

Answer:

D: (x,y) → (x +1, y - 8)

Step-by-step explanation:

The red shape, KHIJ, is similar to the blue shape, KHIJ.

Looking at the shapes from the points K, Blue K is forward on the x-axis by 1, Hence x + 1.

Lokkin at the same points, but on y-axis this time. Red K is up 2 and Blue K is down 6. 2 + 6 = 8. Since the blue shape is down, make the 8 into -8. Now you have y -8.

Answer: $400 was invested

Step-by-step explanation: Based on the scenario in the question, our calculation goes thus:0.11x + 0.06(8000 - x) = 5000.11x + 480 - 0.06x = 5000.11x - 0.06x = 500 - 4800.05x = 20x = 20/0.05x = 400

$400 was invested at 11% Also, 8000 - 400 = 7600 invested at 6%

BRAINLIEST would make my day :D

Answer:

k>4/3

Step-by-step explanation:

The given quadratic equation is:

3x^2 - 4x + k = 0

To find, the value of k = ?

you use

Discriminant, D =  - 4ac

=  - 4(3)(k)

= 16 - 12k

The condition of no solutions.

D < 0

16 - 12k < 0

16<12k

4/3<k

⇒ k>4/3

The above diagram shows a rectangular prism

Volume: Length x Width x Height

Surface area: 2(Length x Width + Height x Width + Height x Length)

Solve for Volume:

5 x 10 x 4

200 m³

Solve for surface area:

2(10x 5 + 4 x 5 + 4 x 10)

2(50 + 20 + 40)

2(110)

220 m²

Answer:

Could you send the question properly so I can Help you with the answer

Step-by-step explanation:

Thanks

Answer:

I don't understand the question.

Answer:

the answer is in the picture

Answer:

E

Step-by-step explanation:

5 is to ST    as   ST is to (5+7)

5/ST = ST/12    (ST)^2 = 60    ST = sqrt (60) = 2 sqrt 15

The best prediction for the number of students at Bowman High School that come from Richardson Middle School is; 175

We are given;

Total number of students = 700

Number of students in Mr. Henry's gym class = 28

Number of students in Mr. Henry's gym from Richardson Middle School = 4

Thus, to find the best prediction for the number of students at Bowman High School that come from Richardson Middle School is simply;

Number of students  = 700/4

Number of students = 175

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[tex]\huge\mathbb\purple {✒✨ ANSWER ✨⚘}[/tex]

A rectangle is such that its breadth is 2m less than its length. Find the length of the rectangle if the perimeter is 8mP

[tex]ANSWER & SOLUTION[/tex]

Divide both sides by the same factor

[tex]4 \times = 4 \\ \frac{4 \times }{4} = \frac{4}{4} [/tex]

Cancel terms that are in both the numerator and denominator

Divide the numbers

Answer:

10

Step-by-step explanation:

the answer is 3 and thats cause if you were to multiply 12x75 you get 900, and if 1 gallon of paint covers 400 square feet then you will need 3 gallons to get to 900. so there for the answer is 3

Answer:

B

Step-by-step explanation

U need to keep up with your training and work hard

Answer:

87.92 mm²

Step-by-step explanation:

Given:

It should be noted:

When the measures are substituted, we get the following expression:

Multiply the constants and substitute π as 3.14.

Finally, simplify the expression to determine the surface area.

Answer:

88.0 mm² (nearest tenth)

Step-by-step explanation:

Surface area of a cylinder = [tex]2\pi r^2+2\pi rh[/tex]

where:

Given:

Substitute given values into the formula:

[tex]\begin{aligned}\sf \implies SA & =2\pi (2)^2+2\pi (2)(5)\\ & = 8 \pi+20 \pi\\ & = 28 \pi\\ & = 88.0\:\sf mm^2\:(nearest\:tenth)\end{aligned}[/tex]

Answer:

SOLUTION:-

[tex]x + 8\% \: of \: x = 10800[/tex]

[tex]\displaystyle{x + \frac{8x}{100} = 10800 }[/tex]

[tex]\displaystyle{ \frac{100x + 8x}{100} = 10800}[/tex]

[tex]\displaystyle{ \frac{108x}{100} = 10800}[/tex]

[tex]108x = 10800 \times 100[/tex]

[tex]108x = 1080000[/tex]

[tex]x = \displaystyle{ \frac{1080000}{108} }[/tex]

[tex]x = 10000[/tex]

Therefore,required last year population=10000

Answer:

The Correct Answer is 10,000.

Step-by-step explanation:

Becuase The Question itself is providing us that this year it increased by 8%. Then the said that the total population for this year is 10,800. So, that tells us that the 8% equal 800. 10,000+800=10,800.

10,800-800=10,000

The correct answer is 10,000.

Hope this helps you!!

Don't forget to Mark me Brainleast if my answer is correct!!

[tex]FV = PV (1 - \frac{r}{100})^n\\FV = 175000 (1 - \frac{4}{100})^3\\[/tex]

FV = Rs 154828.8

Answer:

see below

Step-by-step explanation:

zeroes =  -6 and  -8

y = (x+8)(x+6)   expand to

y = x^2 + 14x + 48

Answer:

See below

Step-by-step explanation:

distance / rate = time

d/r   +  d/(.7r) =   total time

5 /r   + 5 /(.7r) = time

35/7r + 50/7r  = time

85/7r = time

Answer:

It's the first option (A)

Step-by-step explanation:

Since it's heading towards negative Ys so in ax²+bx+c, a is negative and only option that a is negative in it, is option A.

Additionally, the parabola is moved 1 unit towards positive Xs, so —(x—1)²

and it's one unit up so —(x—1)²+1

Answer:

we have to use the formula of simple interest, which is

I = P r t

Where I is the interest earned, P is the amount invested, r is the rate of interest and t is the time duration .

In the given question, I = $4840 , r =11% or 0.11, t=11, P is unknown .

Substituting the values in the formula, we will get

4840=0.11*11*P4840=0.11∗11∗P

4840=1.21 P4840=1.21P

P=4000

So she invested $4000

Answer:

Option: D P = 9000

Step-by-step explanation:

I = PRT

5760 = P * 0.08 * 8

5760 = 0.64P

9,000 = P

1 yard = 36 inches

in order to change yard into inches you multiply how many yards you need to solve for by 36.

36 yards = 1,296 inches

Answer:

1,296 inches

In each yard is 3 feet, and there are 12 inches in 1 foot.

Multiply the amount of yards by itself to solve.

[tex]36 * 36 = 1,296~in.[/tex]

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Ask in comments box.

[tex]0.685[/tex]

the expanded notation form.

[tex]0[/tex]

[tex] + 0.6[/tex]

[tex] + 0.08[/tex]

[tex] + 0.005[/tex]

it can be written as a sentence also,

0 + 0.6 + 0.08 + 0.005

Answer:

Because there are many different ways to teach introductory astronomy, we have made the text as flexible as we could. Math examples are shown in separate sections throughout, so that you can leave out the math or require it as you deem best. Each section of a chapter treats a different aspect of the topic being covered; a number of sections could be omitted in shorter overview courses and can be included where you need more depth. And, as we have already discussed, you can customize the book in a variety of ways that have never been possible in traditional textbooks.

Step-by-step explanation:

This book is written to help students understand the big picture rather than get lost in random factoids to memorize. The language is accessible and inviting. Helpful diagrams and summary tables review and encapsulate the ideas being covered. Each chapter contains interactive group activities you can assign to help students work in teams and pool their knowledge.