Amelia usually runs 3/4 of a mile each day. If today
she only ran 1/3 of her usual distance, how far has
she run?
Give your answer as a fraction of a mile in its
simplest form.

Answer:

[tex]Area = 21.5ft^2[/tex]

Step-by-step explanation:

See attachment

Given

Square:

[tex]Length = 10ft[/tex]

Circle:

[tex]Diameter = 10ft[/tex]

[tex]\pi = 3.14[/tex]

Required: Calculate the area of the shaded region

First, calculate the area of the square:

[tex]A_1 = Length^2[/tex]

[tex]A_1 = (10ft)^2[/tex]

[tex]A_1 = 100ft^2[/tex]

Next, the area of the circle.

[tex]A_2 =\pi * \frac{d^2}{4}[/tex]

[tex]A_2 =3.14 * \frac{10^2}{4}[/tex]

[tex]A_2 =3.14 * \frac{100}{4}[/tex]

[tex]A_2 =3.14 * 25[/tex]

[tex]A_2 =78.5ft^2[/tex]

The shaded region has the following area

[tex]Area = A_1 - A_2[/tex]

i.e. the difference between the area of the square and  the area of the circle

[tex]Area = 100ft^2 - 78.5ft^2[/tex]

[tex]Area = 21.5ft^2[/tex]

Answer:

2+3=5

Step-by-step explanation:

100x + 300 = 500

100x = 500 - 300

100× = 200

100x/100 = 200/100

therefore ^x = 2

x + 3 = 5

2 + 3 = 5

The equation 100x+300=500 is equal to the equation x+3=5.

Given that,

The equation is 100x+300=500

We have to get the equation x+3=5 from the given 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. In any mathematical equation, we have LHS = RHS (left hand side equals right hand side).

We can solve in 2 methods.

1st method,

Taking the equation

100x+300=500

Divide the equation by 100

100x/100+300/100=500/100

We get

x+3=5

2nd method,

Taking the equation

100x+300=500

Taking 300 to right side

100x=500-300

Subtracting the 500 and 300

100x=200

Taking 100 to right side

x=200/100

Dividing the 200 by 100

x=2

Now,

x+3=5

Taking x to right side

x=5-3

Subtracting 5 and 3

x=2

Therefore, the equation 100x+300=500 is equal to the equation x+3=5.

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Answer: 6.32 (rounded)

Step-by-step explanation:

You need to use the pythagorean theorem. 2^2+6^2=c^2.

4+36=40

square root of 40 is 6.324 when rounded

Answer:

true

Step-by-step explanation:

Answer:z=47

Step-by-step explanation:

You're doing this because if you have z-31=16 you have to + 31 to 16 which would give you 47 then that would be a one step equation

z-31=16

you would make a line between the equal sign so it is organized then plus 31 to sixteen then that would get you to 47

Answer:

B

Step-by-step explanation:

-2(4 - 3x) + (5x - 2)=

-8+6x+5x-2=11x-10

when there is a number in front of () you multiple every number that is inside the ()

Answer:

5ft

Step-by-step explanation:

15÷3=5

Answer:

8^2 = 7^2 + 11^2 – 2(7)(11)cos(P)

D.

Step-by-step explanation:

Edge 2021

The equation correctly applies the law of cosines to solve for an unknown angle measure is equation D.

A triangle is a polygon with three sides, three vertices, and three angles.

The length of P N is 7,

The length of N M is 8, and

The length of M P is 11.

The law of cosines is used to determine the missing sides and angles if two sides and an angle are given or three sides are given respectively.

The equation that correctly applies should have the two sides and the cosine of the included angle.

The correct equation is 8² = 7² + 11² – 2(7)(11)cos(P)

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here's the right answer!

A)  76 + 80 + 78 + x = 82 times 4

234 + x = 328

x = 94

B) Mei needs a score of at least 94 on the next exam.

hope you have a good day

Step-by-step explanation:

if you replace n = 1

(2)(7)^(1-1)

= (2)(7⁰)

= 2×1

= 2

if n = 2

(2)(7)^(2-1)

= (2)(7)^(1)

= 2×7

= 14

choice 1

Answer:

A) 99 cents

B) 3 dollars

Step-by-step explanation:

15*0.066=$0.99

15*0.2=$3

(I didn't use post-tax total because most people tip on the pre-tax subtotal, since that is the service charge and they're tipping the service, not the tax).

Answer:

it' b

Step-by-step explanation:

450 multiply by 5 = 2250

375 multiply by 4 = 1,500

Answer:

No thanks I don't feel like it

Step-by-step explanation:

I don't feel like it

Answer:

x = 4

8(4) - 2 = 30

15(4) = 60

All triangles equal 180 degrees and there is already a right angle. 60 plus 0 is 90, and 90 plus 90 (or 90 times 2) is 180

60 + 30 = 90

90 + 90 = 180

Step-by-step explanation:

Answer:

Just add all the angles together, and see if they add up to 180 degrees

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer:

Statement               | Reason

1. AB = CB               | Definition of isosceles triangle

2. AD = CD              | Definition of median

3. BD = BD               | Reflexive property

4. ΔADB ≅ ΔCDB    | SSS (Side-side-side)

Answer:

Solution given:

1.AB=BC. definition of isosceles ∆

2.AD=DC. definition of median

3.BD=BD reflexive

4.∆ADB=∆ CDB S.S.S.axiom

9514 1404 393

Answer:

  1/3

Step-by-step explanation:

The coefficient of expansion can be found by computing the ratio of any (non-zero) image coordinate to its corresponding pre-image coordinate.

  Q'x/Qx = 1/3

The coefficient of dilation is 1/3.

The value of annual sales in 9 years is  $309,845.72.

In order to determine the annual sales of the company in 9 years, the formula to be used is:

FV = P (1 + r)^n

Where:

$155,000 x (1.08)^9 = $309,845.72

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Answer:

C

Step-by-step explanation:

(0,4) is the intercept

Answer:

Weight of Train A = A = 237 tons

Weight of Train B = B = 96 tons

Step-by-step explanation:

Two trains train a and be weigh a total of 333 tons. Train A is heavier than train B.The difference of their weight is 141 tons… What is the weight of each train??

Let us represent:

Weight of Train A = A

Weight of Train B = B

Our system of Equations is given as:

A + B = 333 tons..... Equation 1

A - B = 141 tons....... Equation 2

We solve using Elimination method

We Add Equation 1 and 2 together to Eliminate B

Hence:

2A = 474 tons

A = 474 tons/2

A = 237 tons

Solving for B using Equation 1

A + B = 333 tons..... Equation 1

237 tons + B = 333 tons

B = 333 tons - 237 tons

B = 96 tons

Therefore:

Weight of Train A = A = 237 tons

Weight of Train B = B = 96 tons

Answer:

141 square incges

Step-by-step explanation:

Answer:

The answer is 141 sq inch.

Am smort :D

Answer:

the answer is 180/90 = 2

Step-by-step explanation: