Answer:
area of land purchased =247
The area of the land Rachel purchased is approximately 10,055.64 square feet.
How to calculate the area?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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what expression is equivalent to 2
Answer:
4 - 2 = 2
Step-by-step explanation
It takes 12.5g of kool-aid powder to make 5 liters of juice. How many grams of powder will it take to make 20.5 liters of juice? pls answer quick its due in 15 mins
Answer:
8.2
Step-by-step explanation:
Sorry man, A bit late : l but here it is anyways...
12.5g of kool-aid power can make 5 liters of juice.
20.5g liters of juice can make ? liters of juice.
Think of it as a ratio!
12.5:5 and 20.5:?
what times what equals to what?
12.5/2.5=5 SO, you do 20.5/2.5= 8.2
That's your answer! Hope you get it right!
Answer:
51.25 grams
Step-by-step explanation:
Alright so, in this question you need to figure out what is the amount for 1 liter. We can figure this out by doing 12.5 ÷ 5.
That equals to 2.5 grams. Great, now we have figured out the amount for 1 liter. The next step is pretty self explanatory. We multiple 2.5 grams x 20.5 and that equals to 51.25 grams needed.
Mathamatical explanation:
12.5g ÷ 5L
= 2.5g
2.5g x 20.5L
= 51.25grams
I really hoped this helped you guys.
"ect the best answer for the question.
- A polygon that has all sides the same measure and all angles the same measure is called what?
Answer:
Regular Polygon
Step-by-step explanation:
A polygon is a plane (two-dimensional) shape with straight sides.
Examples include triangles, quadrilaterals, pentagons, hexagons, etc.
A polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length) is called a Regular Polygon.
Stephen says that the numbers 38 and 40 are relatively prime. Explain why he is incorrect in making this statement. (make a good explanation plz)
Answer:
He is incorrect in this statement because 38 and 40 both have factors, other than 1 x itself. Prime numbers are numbers the only have 1 factor pair, and that is 1 x itself. Factors are the numbers you multiply to get the end result, and an example is 10x4=40. The factors of 40 are 8x5, 4x10, 2x20, and of course, 1x40. The factors of 38 are 2x19, and 1x38.
Answer:
The definition of relatively prime is two numbers with a GCF of 1.The numbers 38 and 40 are not relatively prime.
Step-by-step explanation:
Mr. Allen has 2 dogs, Spike and Fido. He takes both of them outside at 6:00 a.m. He takes Spike outside every 3 hours. He takes Fido outside every 5 hours. When is the next time Mr. Allen will take both dogs outside at the same time?
Answer:
3 pm
Step-by-step explanation:
Because 3x5 = 15 and 5x3=15 so it would be at 3 pm
Answer:
Step-by-step explanation:
Spike gets taken out every 3 hrs meaning he gets taken out at :
6am
9am
12am
3pm
6pm
9pm
Fido gets taken out every 5 hours.
6am
11am
4pm
9pm
Therefore at 9pm, both dogs would get taken out
Express the ratio as a fraction in simplest form.
7 kilograms to 400 grams
Answer:
35:2
Step-by-step explanation:
7000 and 400 are each multiples of 100. 7000÷100=70
400÷100=4
70/4 is left
divide each by 2 as it is the only number that can go both in to 70 and 4
The heart rates in beats per minute for runners who walk briskly on a treadmill for 6 minutes follow a Normal distribution with a mean of 104 and standard deviation of 12.5. What percent of the runners have heart rates above 140?
Answer:
0.2%
Step-by-step explanation:
We apply the z score formula.
This is given as:
Z score = x - μ/σ
x = Raw score = 140
μ = Population mean = 104
σ = Standard deviation = 12.5
z = 140 - 104/12.5
z = 2.88
Probability value from Z-Table:
P(x<140) = 0.99801
P(x>140) = 1 - P(x<140)
= 1 - 0.99801
= 0.0019884
Approximately = 0.0020
Converting to percent = 0.2%
Therefore, percent of the runners have heart rates above 140 is 0.2%
In the accompanying diagram, AB, CD, and EF intersect at O. If CD I EF and m ZAOE = 32, find m ZAOF.
In this study, we tested the effects of NEAA-deprived diets and checkpoint inhibitor anti-PD-1 and anti-PD-L1 in colon cancer using syngeneic mouse model (Balb/c) bearing tumors of mouse colorectal cancer cell line CT-26. Three diets were tested, including a natural rodent diet Teklad ENVIGO Global 16% Protein Rodent Diet (control 1), a formulated NEAA-complete diet COMPLETE (control 2, using amino acid mix in place of protein), and a formulated NEAA-deprived diet FTN203 (treatment, using amino acid mix in place of protein). Both COMPLETE and FTN203 have the same nutritional structures, contain 17% w/w protein equivalent, and are isocaloric. After tumor size-based randomization, these diets were provided to mice ad libitum throughout the whole test. Each of these diets was used alone or combined with anti-PD-1 antibody (i.p., twice per week for 2 weeks) or anti-PD-L1 antibody (i.v., twice per week for 2 weeks).In this study, we tested the effects of NEAA-deprived diets and checkpoint inhibitor anti-PD-1 and anti-PD-L1 in colon cancer using syngeneic mouse model (Balb/c) bearing tumors of mouse colorectal cancer cell line CT-26. Three diets were tested, including a natural rodent diet Teklad ENVIGO Global 16% Protein Rodent Diet (control 1), a formulated NEAA-complete diet COMPLETE (control 2, using amino acid mix in place of protein), and a formulated NEAA-deprived diet FTN203 (treatment, using amino acid mix in place of protein). Both COMPLETE and FTN203 have the same nutritional structures, contain 17% w/w protein equivalent, and are isocaloric. After tumor size-based randomization, these diets were provided to mice ad libitum throughout the whole test. Each of these diets was used alone or combined with anti-PD-1 antibody (i.p., twice per week for 2 weeks) or anti-PD-L1 antibody (i.v., twice per week for 2 weeks).
Alicia has had 16 hints 46 at-bats in her softball games. How many consecutive hits does she need to raise
her batting average to 0.400
Answer:
Step-by-step explanation:
She has to raise 289 bats more
"Six more than a number doubled is equal to twice a
number plus three"
Given parameters:
This is a word problem. To solve problems, it is best to interpret sentence by sentence;
Six more than a number doubled;
let the number = y ;
so we have 2(y + 6)
equal =
twice a number plus three;
let the number be Z;
2Z + 3
The complete expression is thus; 2(y + 6) = 2Z + 3
What is the distance, d, between the points (2,5/2) and (8/3,1)?
answer in the simplest radical form.
Answer: Exact Form:
√
97
6
Decimal Form:
1.64147630
Btw that's 97 radical 6
~ zachary
Answer:
[tex]d=\frac{\sqrt{97}}{6}\approx1.6415[/tex]
Step-by-step explanation:
We have the two points: (2, 5/2) and (8/3, 1).
And we want to find the distance between them.
So, we can use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Let (2, 5/2) be (x₁, y₁) and let (8/3, 1) be (x₂, y₂). Substitute:
[tex]d=\sqrt{(\frac{8}{3}-2)^2+({1-\frac{5}{2})^2[/tex]
Evaluate the expressions within the parentheses. For the first term, we can change 2 to 6/3. For the second term, we can change 1 to 2/2. So:
[tex]d=\sqrt{(\frac{8}{3}-\frac{6}{3})^2+({\frac{2}{2}-\frac{5}{2})^2[/tex]
Evaluate:
[tex]d=\sqrt{(\frac{2}{3})^2+(-\frac{3}{2})^2[/tex]
Square:
[tex]d=\sqrt{\frac{4}{9}+\frac{9}{4}[/tex]
Add. We can change 4/9 to 16/36. And we can change 9/4 to 81/36. So:
[tex]d=\sqrt{\frac{16}{36}+\frac{81}{36}}[/tex]
Add:
[tex]d=\sqrt{\frac{97}{36}}[/tex]
We can separate the square roots:
[tex]d=\frac{\sqrt{97}}{\sqrt{36}}[/tex]
Simplify. So, our distance is:
[tex]d=\frac{\sqrt{97}}{6}\approx1.6415[/tex]
A phone has 5/8 of its battery charge left. If the battery loses 3/8 of its full charge every hour, how many hours will the battery last?PLSSSS HURRYY
Answer:
An hour and 45 minutes
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
The number of hours the battery will last if it loses 3/8 of its battery every hour is 1 hour 40.2 minutes.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
The battery charge left in the phone = 5/8 of its battery
The battery loses every hour = 3/8 of its battery
The number of hours the battery will last if it loses 3/8 of its battery every hour:
= 5/8 ÷3/8
= 5/8 x 8/3
= 5/3
= 1.67 hours
This means,
1 hour = 60 minutes
Multiply 1.67 on both sides.
1.67 hours = 1.67 x 60 minutes
1.67 hours = 100.2 minutes
1.67 hours = 1 hour 40.2 minutes
Thus,
The number of hours the battery will last if it loses 3/8 of its battery every hour is 1 hour 40.2 minutes.
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Round 34,330 to the nearest thousand
Answer:30,000
Step-by-step explanation:
5 or more is greater 4 or you give it a rest
SOMEONE PLS HELP ME W THIS QUESTION ASAP I’LL MARK BRAINLIEST
Answer:
i think it is A the first option
Step-by-step explanation:
Order the numbers from least to greatest:
square root of 81, square root of 72, 9.2, 8.6
Type the correct order of each item (eg. 1, 2, 3, etc):
8.6
9.2
square root of 81
square root of 72
Simplify all the given.
√81 = 9
√72 ≈ 8.5
9.2 = 9.2
8.6 = 8.6
From here, you can just sort it out.
From least to greatest:
1) √72
2) 8.6
3) √81
4) 9.2
Six adult tickets to a movie at the theater cost
$52.50. Find the price for one ticket.
Answer:
$8.75
Step-by-step explanation:
The total cost is $52.50. And you got eight "items". So you would do $52.50 divided by 8. This would give you the cost of one item/ticket
for every 5 cups of flour in a brownie recipe there are 2 cups of milk, the ratio the ratio for milk to flour is?
Answer:
2:5
Step-by-step explanation:
There are 2 cups of milk and 5 cups of flour per recipe.
Answer:
2:5 or 2 to 5 or 2/5
Step-by-step explanation:
You have to put the number of milk first then flour.hope this helps:)
which set of numbers are equivalent
0.32 , 32% , 1/32
0.45 , 50% ,49/50
0.30, 30% , 30/300
0.15 , 15% , 30/200
i will give you 40 pionts
Plss help i dont understand :(
HELP ILL GIVE BRAINLIEST HELPPPP
Conversion Formulas
K = Cº + 273
The path of a punted football is modeled by
f(x) = −
16
1225
x2 +
7
5
x + 1.5
where
f(x)
is the height (in feet) and x is the horizontal distance (in feet) from the point at which the ball is punted.
(a) How high is the ball when it is punted?
Correct: Your answer is correct.
ft
(b) What is the maximum height of the punt? (Round your answer to two decimal places.)
Incorrect: Your answer is incorrect.
ft
(c) How long is the punt? (Round your answer to two decimal places.)
Incorrect: Your answer is incorrect.
ft
Step-by-step explanation:
C is the answer of your question
What is the graph of each direct variation equation? y= 1/3x
Answer:
So the question isnt completely clear but i can work with thtis. If your asking what i think your asking then lok for this line:
The line should be positive meaning it points in the top right corner. It should pass through 0,0 and from that point you should be able to go up 1 and over 3 where that point you just made should be on the line. If you can continue this proccess from each new point you create and the points are on the line then that is your graph.
Step-by-step explanation:
A vehicle uses 2.3 gallons of gas when driven 48.3 miles. . How many miles can the vehicle go if it uses only 1 gallon of gas?
At best buy they have a 42” TV that sells for $1250 and is on sale for 15% and sales tax is 6.5%. What is the final cost? (Hint: Calculate the discount first and then the tax).
Answer:
pre-tax = 1,062.50
after taxes = 1,131.56
Find the equation of the line that passes through the point (-3, -4) and (5, -4)
Answer:
y=-4
Explanation:
you have to use the equation y₂-y₁/x₂-x₁ and what ever answer you get from this equation will be your slope
What is the Slope from graph
Answer:
3/4 I'm pretty sure that right
Can someone help me figure this out!!!
Answer:
Basic Concept used:
Since D is the mid-point of EF,
ED will be equal to DF since D is in the middle of the line segment
We are given the following values for ED and DF
ED = 4x + 6 and DF = 7x - 9
Solving for x:
Since ED = DF (D is the mid point)
4x + 6 = 7x - 9
9 + 6 = 7x - 4x
15 = 3x
x = 5
Finding the values of ED , DF and EF:
we know that x = 5 (from the last section)
we are given the following values of the line segments:
ED = 4x + 6
DF = 7x - 9
EF (ED + DF) = (4x + 6) + (7x - 9)
Replacing x with 5 in each of these equations:
ED = 4(5) + 5 = 26
DF = 7(5) - 9 = 26
EF = (4(5) + 6) + (7(5)-9) = 26 + 26 = 52
Solve -19x-1=-12x+34
Answer:
x=-5
Step-by-step explanation:
you're welcome
cy-5=-3d+6y for y. Only on solution
Answer:
This is the answer for your question. I hope it helps you!!!! Pls Mark as the brainliest answer!!!
Step-by-step explanation:
Simplifying
Cy + -5 = -3d + 6y
Reorder the terms:
-5 + yC = -3d + 6y
Solving
-5 + yC = -3d + 6y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-6y' to each side of the equation.
-5 + -6y + yC = -3d + 6y + -6y
Combine like terms: 6y + -6y = 0
-5 + -6y + yC = -3d + 0
-5 + -6y + yC = -3d
Add '5' to each side of the equation.
-5 + -6y + 5 + yC = 5 + -3d
Reorder the terms:
-5 + 5 + -6y + yC = 5 + -3d
Combine like terms: -5 + 5 = 0
0 + -6y + yC = 5 + -3d
-6y + yC = 5 + -3d
Reorder the terms:
-5 + 3d + -6y + yC = 5 + -3d + -5 + 3d
Reorder the terms:
-5 + 3d + -6y + yC = 5 + -5 + -3d + 3d
Combine like terms: 5 + -5 = 0
-5 + 3d + -6y + yC = 0 + -3d + 3d
-5 + 3d + -6y + yC = -3d + 3d
Combine like terms: -3d + 3d = 0
-5 + 3d + -6y + yC = 0
The solution to this equation could not be determined.