Determine the area of e
1.
4inch

Answer:

area of land purchased =247

The area of the land Rachel purchased is approximately 10,055.64 square feet.

We can start by finding the area of one acre in square feet, which is given as 43,560 square feet.

To find the area of 1/5 acre, we can divide 43,560 by 5, which gives us 8,712 square feet.

Since Rachel's land is in the shape of an isosceles triangle, we need to find the base and height of the triangle in order to calculate its area. Let's call the length of the base "b" and the height "h".

We know that the area of a triangle is given by the formula:

Area = (1/2) x base x height

So, we can rearrange this formula to solve for the height:

height = 2 x Area / base

Now we can substitute in the values we know:

Area = 8,712 square feet

base = unknown

height = unknown

We also know that the triangle is isosceles, which means that two of the sides are equal in length. Let's call the length of one of these sides "s". Then the length of the base can be expressed in terms of s as:

base = 2s

We can use the Pythagorean theorem to find the height in terms of s:

s² + (h)² = (2s)²

s² + h² = 4s²

h² = 3s²

h = s x √(3)

Now we can substitute this expression for the height in terms of s into the formula we derived for the area:

Area = (1/2) x base x height

Area = (1/2) x 2s x s x √(3)

Area = s² x √(3)

We know that the area of the triangle is 1/5 of an acre or 8,712 square feet, so we can set this equal to the expression we just derived for the area and solve for s:

s² x √(3) = 8,712

s² = 8,712 / √(3)

s = √(8,712 / √(3))

Now that we know the length of one of the equal sides of the isosceles triangle, we can find the length of the base by multiplying by 2:

base = 2s

base = 2 x √(8,712 / √(3))

Finally, we can substitute in the values we just found for the base and height into the formula for the area of the triangle:

Area = (1/2) x  base x height

Area = (1/2) x 2 x √(8,712 / √(3)) x √(3) x √(8,712 / √(3))

Area = 2 x 8,712 / √(3)

Area = 17,424 / √(3)

Therefore, the area of the land Rachel purchased is approximately 10,055.64 square feet.

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Answer:

1/6 as a decimal is 1.66 or 1.6 repeating.

Answer:

ASA

Step-by-step explanation:

Took the test.

Answer:

24

Step-by-step explanation:

250% × ? = 60

? =

60 ÷ 250% =

60 ÷ (250 ÷ 100) =

(100 × 60) ÷ 250 =

6,000 ÷ 250 =

24

Answer:

midpoint of J and K = (3/2,-5/2) or (1.5,-2.5)

Step-by-step explanation:

midpoint formula: (((x+x1)/2),((y+y1)/2)))

in this case J(x1,y1), and K(x,y) where J = (6,-1), and K = (-3,-4).

so: (((-3+6)/2),((-4+-1)/2))) = (((3)/2),((-5)/2))) = (1.5,-2.5) or (3/2,-5/2)

Q: Perry is responsible for distributing soccer balls to the kids at soccer camp. During practice, Perry would like each group of 5 children to share two soccer balls. How many soccer balls does Perry need if 25 kids attend camp?

A: 20 soccer balls

Hope this helped!

Answer:

ACD

Step-by-step explanation:

(0,0) shows that the cost is 0 when the weight is 0,

(0.5,2) shows that when the weight is 0.5 pounds the cost is 2 dollars

same concept for D

Answer:670000

Step-by-step explanation:

Rounding 673738 to the nearest ten thousand is 670000

The place value of the number 673738 from the right is given below:

8 stands for unit

3 represents tens

7 represents hundreds

3 represents tens thousands

7 represents ten thousands

6 represents hundred thousands

Since the number beside the 7 is 3 and it isn't up to 5, then the number to the nearest ten thousand will be 670000.

In conclusion, rounding 673738 to the nearest ten thousand is 670000.

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Answer:its d

Step-by-step explanation:

Answer:

I think that the answer is 24.35 degrees C

Step-by-step explanation:

It says it changed -8.25 so you need to subtract 8.25 from 32.6 to get your answer.

Answer:

1. a reflection over one of the square's sides

2. a rotation of 90: clockwise about the squares center

3. a rotation of 180' clockwise about the square's center

Step-by-step explanation:

I did a test :)

The inequality that represents this graph is y < 2x + 2.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

The dotted line represents strictly less than or greater than.

From the graph, we can conclude that when x = 0, y = 2, and when x = 1 y = 4, and values of y are strictly less.

∴ The inequality that represents this graph is y < 2x + 2.

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Answer: 20

Step-by-step explanation:

Answer:

20 gal of gas

Step-by-step explanation:

200÷10=

20

Answer: 24.2° SouthWest

Step-by-step explanation:

First step: DRAW A PICTURE of the vectors from head to tail (see image)

I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.

Perpendicular (x):

 cos 35° = adjacent/hypotenuse

  cos 35° = x/160

→ x = 160 cos 35°

Angle (θ):

sin θ = opposite/hypotenuse

sin θ = x/320

sin θ = 160 cos 35°/320

    θ = arcsin (160 cos 35°/320)

    θ = 24.2°

Direction is down (south) and left (west)

6 = 1/4(-8) +b

6 = -2 +b

8 = b

The equation of this line having slope 1/4 and points (-8,6) is y = (1/4)x + 8.

Slope is the rate of change.It can also be thought of as rise over run.

According to the given question slope(m) is 1/4 and point is (-8,6).

We know equation of a line in slope intercept form is y = mx + b, where b is the y intercept.

∴ 6 = (-8)1/4 + b.

  6 = - 2 + b.

  b = 8.

Now the equation of this line in slope intercept from can be written as

y = (1/4)x + 8.

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Answer:

2 calories

Step-by-step explanation:

yes

Answer:

The answer you are looking for is 2 calories.

Step-by-step explanation:

1 serving 8 fl oz cup (238 g)

Answer:

5

Step-by-step explanation:

18x5=90+123=213.

Answer:

Coordinates of point B: (7, 3)

Step-by-step explanation:

Given M(2.5, 3.5) as midpoint of AB, and A(-2, 4),

let [tex] A(-2, 4) = (x_2, y_2) [/tex]

[tex] B(?, ?) = (x_1, y_1) [/tex]

[tex] M(2.5, 3.5) = (\frac{x_1 +(-2)}{2}, \frac{y_1 +(4)}{2}) [/tex]

Rewrite the equation to find the coordinates of B

[tex] 2.5 = \frac{x_1 - 2}{2} [/tex] and [tex] 3.5 = \frac{y_1 + 4}{2} [/tex]

Solve for each:

[tex] 2.5 = \frac{x_1 - 2}{2} [/tex]

[tex] 2.5*2 = \frac{x_1 - 2}{2}*2 [/tex]

[tex] 5 = x_1 - 2 [/tex]

[tex] 5 + 2 = x_1 - 2 + 2 [/tex]

[tex] 7 = x_1 [/tex]

[tex] x_1 = 7 [/tex]

[tex] 3.5 = \frac{y_1 + 4}{2} [/tex]

[tex] 3.5*2 = \frac{y_1 + 4}{2}*2 [/tex]

[tex] 7 = y_1 + 4 [/tex]

[tex] 7 - 4 = y_1 + 4 - 4 [/tex]

[tex] 3 = y_1 [/tex]

[tex] y_1 = 3 [/tex]

Coordinates of point B: (7, 3)

Answer:

Coordinates of point B: (7, 3)

Step-by-step explanation:

Given M(2.5, 3.5) as midpoint of AB, and A(-2, 4),

Rewrite the equation to find the coordinates of B

Coordinates of point B: (7, 3)

Answer:

hope it helps..

Step-by-step explanation:

PLEASE THANK MY ANSWER

Answer: El o Ella tiene 4 manazanas izquierda comer para el semana

Step-by-step explanation: Si necesitas ayuda con algo más estoy disponible generalmente de 9 a.m. a 3:50 p.m.

The number of apples left to eat are equivalent to 4.

In mathematics →

Given is that you have 5 apples to eat during the week and you eat 20% on the first day.

Assume the number of apples left are {x}. So, we can write -

{x] = 5 - 20% of 5

{x} = 5 - (20/100) x 5

{x} = 5 - 1

{x} = 4

Therefore,

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{Question in english -

If you have 5 apples to eat during the week and you eat 20% on the first day, how many apples are left for the rest of the week?}

Answer:

2.25 cars are waxed with one bottle

Step-by-step explanation:

1/3 * 3 = 1

3/4 * 3 = 9/4

9/4 = 2.25

Answer:

k=45

Step-by-step explanation:

45+2k+k=180

Step 1: Simplify both sides of the equation.

45+2k+k=180

(2k+k)+(45)=180(Combine Like Terms)

3k+45=180

3k+45=180

Step 2: Subtract 45 from both sides.

3k+45−45=180−45

3k=135

Step 3: Divide both sides by 3.

3k/3=135/3

k=45

Answer:

18.75 cups of flour

Step-by-step explanation:

The answer is 18.75 cups of flour as you have to multiply 5 by 3 3/4. The result will be 18.75. Hope it helps!

You need 18 3/4 cups of flour, to make 5 batches of the recipe.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

If one batch of the recipe calls for 3 3/4 cups of flour, then 5 batches of the recipe will require:

5 × 3 3/4 cups

To multiply a whole number by a mixed number, we first convert the mixed number to an improper fraction:

3 3/4 = (4 × 3 + 3) / 4 = 15/4

Now we can multiply:

5 × 15/4 = (5 × 15) / 4 = 75/4

To convert this fraction to a mixed number, we divide the numerator by the denominator and write the remainder as a fraction:

75 ÷ 4 = 18 remainder 3

So, 75/4 is equal to 18 3/4.

Therefore, 5 batches of the recipe will require:

18 3/4 cups of flour.

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Answer:

It willtake 45 minutes

Step-by-step explanation:

divide 18 by 12= 1.5, so multiply 1.5 by 30

Answer:

A possible answer is that Naron is 6 yrs old and his sister is 2 yrs old.

Step-by-step explanation:

6 is 3 times as much as 2

(6+2)/2=2+2

8/2=4

Answer:

Naron is 6 years old and his sister is 2 years old

Step-by-step explanation:

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result. There you go!

Answer:

Step-by-step explanation:

10^6

Answer:

10^6

Step-by-step explanation:

Answer.

Y=|10x-100|+5