Zoe the goat is tied by a rope to one corner of a 15 by 25 meter rectangular barn in the middle of a large, grassy field. Over what area of the field can Zoe graze if the rope is 10 meters
Answers
Answer: [tex]78.55\ m^2[/tex]
Step-by-step explanation:
Given
The goat is tied by a rope to one corner of a rectangular field with length of rope 10 m.
Zoe can graze in an area equal to quadrant of circle with radius 10 m
Area of grazing is
[tex]\Rightarrow \dfrac{1}{4}\times \pi r^2\\\\\Rightarrow \dfrac{\pi r^2}{4}\\\\\Rightarrow \dfrac{\pi \times 10^2}{4}=78.55\ m^2[/tex]
Related Questions
Which description represents the equation 7x - 2 = 33?
1. Two less than seven times a number equals thirty-three.
2. Two times the quantity of seven less than a number equals thirty-three.
3. Seven less than two times a number equals thirty-three.
4. Seven times two minus a number equals thirty-three.
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
"1. Two less than seven times a number equals thirty-three."
»»————- ★ ————-««
Here’s why:
We are given the equation of [tex]\boxed{7x-2=33}[/tex].⸻⸻⸻⸻
[tex]\boxed{\text{Breaking the equation down:}}\\\\7x-2=33\\-------\\\rightarrow \text{'7x' - Seven times a number. The unknown value is 'x'.}\\\\\rightarrow \text{' - 2' - Minus 2.}\\\\\rightarrow \text{'= 33' - Equals 33.}\\---------\\\text{The phrase "'X' less than 'Y'" indicates:}\\\\Y - X \\---------\\\text{Two less than 7 times a number would be:}\\\\\boxed{7x - 2}[/tex]
⸻⸻⸻⸻
The first statement should be the appropriate statement for the given equation.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
20 Mathematically similar wooden blocks are made in a workshop.
There are small blocks and there are large blocks.
The volume of each small block is 300 cm
Given that
the surface area of each small block: the surface area of each large block - 25:36
DO NOT WRITE IN THIS AREA
work out the volume of each large block.
Answers
Answer: [tex]518.4\ cm^3[/tex]
Step-by-step explanation:
Given
The volume of the small block is [tex]300\ cm^3[/tex]
The ratio of the surface area of small to large block is [tex]25:36[/tex]
Suppose the length of the small and large box is a and b
[tex]\therefore \left(\dfrac{6a^2}{6b^2}\right)=\dfrac{25}{36}\\\\\Rightarrow \left(\dfrac{a}{b}\right)^2=\dfrac{25}{36}\\\\\Rightarrow \left(\dfrac{a}{b}\right)=\dfrac{5}{6}\\\\\therefore \text{Ratio of the volumes of two is }\\\\\Rightarrow \dfrac{a^3}{b^3}=\dfrac{5^3}{6^3}\\\\\Rightarrow \dfrac{V_s}{V_l}=\dfrac{125}{216}\\\\\Rightarrow V_l=300\times \dfrac{216}{125}\\\\\Rightarrow V_l=518.4\ cm^3[/tex]
[tex]5x + 11(7x - 3[/tex]
Answers
[tex]82x - 33[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]5x + 11(7x - 3) \\ = 5x + 77x - 33 \\ = 82x - 33[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
2x-y=0 3x=2y=-3
I’m not sure the correct steps to solve.
Answers
Answer:
x = 3 and y = 6
Step-by-step explanation:
The given equations are :
2x-y=0 ......(1)
3x-2y=-3 .....(2)
We need to solve equations (1) and (2).
Equation (1) can be written as :
2x = y
Put the value of y in equation (2)
3x-2(2x)=-3
3x-4x = -3
-x = -3
x = 3
Put the valye of x in equation (1)
2(3)-y=0
y = 6
Hence, the value of x = 3 and y = 6.
what is the tan K? need help
Answers
Answer:
i have no clue
Step-by-step explanation:
Fast problem! Please help
Answers
Answer:
D. 122 degrees
Step-by-step explanation:
The angle next to the 133 degree angle is equal to 47 degrees because they are linear pairs. (Linear pairs will always add up to 180 degrees).
The angle below the 75 degree angle is equal to 75 degrees because they are vertical angles. (Vertical angles will always be equal to each other).
Then by using the Triangle Exterior Angle Theorem. Your missing angle is equal to 47 degrees + 75 degrees = 122 degrees.
what is the area of a triangle with base 18cm and height 4cm
Answers
Answer: The area of the triangle would be “36cm^2”
Explanation: To find the area of a triangle you multiply the height and base and divide it by 2 so it would look like this 18 x 4 = 72 then 72/2 which is 36cm^2.
Have a nice day!
Answer:
Area=36
Step-by-step explanation:
18x4=72
72/2=36
1/2x9
step by step please
Answers
[tex]4.5[/tex] ✅
Step-by-step explanation:
[tex] \frac{1}{2} \times 9 \\ = \frac{1 \times 9}{2} \\ = \frac{9}{2} \\ = 4.5[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
and you leave the denominator alone which will be 9/2 then divide 9*2 which will be 4.5. Hope it makes it easier for you.
Rosc has $500 in her savings account. She carnis simple interest at 5%
Calculate the interest she carnis after two year.
<
A
B. ss0
CLS250
D. $500
O
A
OB
Answers
Answer:
50
Step-by-step explanation:
I assume you are asking how much she EARNS after 2 years.
500x.-5=25 interest per year
25 x 2 years = 50 interest for 2 years.
write an equation in SLOPE- INTERCEPT FORM of the line that has the slope of -6 and a y- intercept of 2.
ANSWER THIS ASAP PLEASE!
Answers
Answer:
y=-6x=2
Step-by-step explanation:
y= mx+b
m=slope
b=y-intercept
the pattern continues, what would be the eighth number in the pattern?4. 25, 28, 32, 37, 43 ______ PLS HELP ME
Answers
[tex]25,28,32,37,43,50,58,67.[/tex]
[tex]\boxed{The\:eighth\:number\:in\:the\:pattern\:is\:67.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]25, 28, 32, 37, 43,50,58,67\\ ✒ \: 25 + 3 = 28 \\ ✒ \: 28 + 4 = 32 \\ ✒ \: 32 + 5 = 37 \\ ✒ \: 37 + 6 = 43 \\ ✒ \: 43 + 7 = 50 \\ ✒ \: 50 + 8 = 58 \\ ✒ \: 58 + 9 = 67[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Given f(x) = 3 and g(x) = cos(x). What is Limit of left-bracket f (x) minus g (x) right-bracket as x approaches negative pi?
Answers
Answer:
C
cos pie= -1
so (3-(-1)=3+1=4
Step-by-step explanation:
I had 150 pencils at the start of the year. I now only have 120 pencils. What
is the percent of change in the number of pencils? *
* 20 % increase
* 25 % increase
* 20 % decrease
* 25 % decrease
Answers
Keith played the first 22 minutes of soccer game lohan then replaced him for the rest of half logan started the second half and was replaced by wilson with 18 minutes left in the game if each half is 40 minutes ling how long did logan play during the second half
Answers
Answer:
Logan played for 22 minutes during the second half.
Step-by-step explanation:
Since Keith played the first 22 minutes of a soccer game and Logan then replaced him for the rest of the half, and Logan started the second half and was replaced by Wilson with 18 minutes left in the game, if each half is 40 minutes long To determine how long did Logan play during the second half, the following calculation must be performed:
Second Half Total - Time Played by Wilson = Time Played by Logan
40 - 18 = X
22 = X
Therefore, Logan played for 22 minutes during the second half.
IM SO CONFUSED! HELP AND EXPLAINNNNNN
Answers
Answer:
326.56 sq in
Step-by-step explanation:
SA=2*3.14*4^2+2*3.14*4*9
SA= 100.48+ 226.08
SA= 326.56
Plug numbers in equation and then solve equation. R=4 and h=9.
The cost to rent a bicycle is $20.00 plus $2.65 per hour that the bicycle is checked out. What is the minimum number of hours a bicycle can be rented if a tourist can spend more than $37.00 but less than $65.00 on the rental? Round your answer to the nearest whole hour that satisfies the inequality.
Answers
Answer:
7 hours
Step-by-step explanation:
Rental cost :
Fixed pay = $20
Hourly cost = 2.65
To obtain the minimum rental hour, we work with the least amount that can be spent ;
For tourist that can spend more than $37 but less than $65
Total cost of rental :
20 + 2.65h ; h = number of hours
When total cost > 37
20 + 2.65h > 37
2.65h > 37 - 20
2.65h > 17
h > 6.415
Hence, the minimum whole hour of bicycke rental is 7 hours
Of a group of 200 workers, 15 are chosen to participate in a survey about the number of miles they drive to work each week. What is the sample size?
A) 200
B) 15
C) 185
D) 0
Answers
Answer:
15 works were choosen to be the sample size. that means the answer is B.(BRAINLEST!!!)
Step-by-step explanation:
In a test, +3 marks are given for every correct answer and -1 mark are given for every incorrect answer. Sona attempted all the questions and scored +20 marks, though she got 10 correct answers. How many incorrect answers has she attempted? (ii) How many questions were given in the test?
Answers
x = number of questions
3y = points for a correct answer
-1x or -x = points for an incorrect answer
Adding up the correct and incorrect points/answers gives us the final score. We can solve to see how many questions were incorrect. (We are told 10 were correct)
3y + (-1x) = 20
3(10) + (-1x) = 20
30 - x = 20
10 = x
x = 10
So she got 10 correct and 10 incorrect, and there were 20 questions in all.
Mary Beth bought 45 oz of flour for her bakery. She used 17.3 oz to make a loaf of bread, and 0.83 oz for each muffin. How many muffins did Mary Beth make if she had 18.57 oz of flour left over?
Answers
Answer:
11
Step-by-step explanation:
this equation can be derived from the question
45 oz - 17.3 oz - 0.83x oz = 18.57 oz
where x = number of muffins made
combine like terms
45 oz - 17.3 oz - 18.57 oz = 0.83x
9.13 = 0.83x
x = 9.13 / 0.83
x = 11
25 POINTS!!!!!!
ANSWER THE QUESTION BELOW
Explain how decisions are a combination of theoretical, experimental, and subjective probability
Answers
Answer:
Decisions help know what you believe in and in what you trust. It also expirements many new things. Some decisions end up being good one and correct ones.
You flip a coin, spin the spinner, and flip a coin again. Find the probability of flipping heads, spinning an even number, and then flipping heads. The probability is %
Answers
Answer:
1/10
Step-by-step explanation:
P heads,even,heads = P heads * P even *P heads =
1/2 * 2/5* 1/2 = 1*2*1/2*5*2= 1/10
This is my first time using Brainly I don't know if I'm doing this correctly.
Answers
Answer:
x = -3
Step-by-step explanation:
so in the hint it pretty much gives you the equation x=-b/2a
the standard form of a quadratic equation is f(x) = ax^2+bx+c
so we look at the equation we have and we can see that a=-2 and b=-12
we substitute this into the axis of symmetry equation
x= -(-12) / 2(-2)
simplify
x=12/-4
simplify further
x=-3
HELLPPPPPPPP I NEED THIS AMSWER IN LESS THEN 2 mins
Answers
Answer:
x = 15
m<RQP = 33degrees
Step-by-step explanation:
From the given diagram, m<P = 90degrees
Equating this to 5x+15
5x+15 = 90
5x = 90 - 15
5x = 75
x = 75/5
x = 15
m<RQP = 2x+3
m<RQP = 2(15) + 3
m<RQP = 30 + 3
m<RQP = 33degrees
anyone wanna z00m? you have to make it tho.
Answers
This site is only for education related questions. You should only answer or ask questions. That's what we are here for. Whoever is reading this answer, please spread it to stop people from zooming, hurting others, posting non-related to education, or just communicating with others because this is not what Brainly is for. Thank you.
Will mark brainliest ❤️
Answers
Answer:
The answer is A
Step-by-step explanation:
Well, there is an actual way of doing it but I forgot how to do it, my calculator got A so yeah, hope that helps
Paisley is going to invest in an account paying an interest rate of 3.4% compounded
daily. How much would Paisley need to invest, to the nearest dollar, for the value of
the account to reach $400 in 16 years?
Answers
Answer:
232
Step-by-step explanation:
hey! i’ll give brainliest please help
Answers
Answer:
C
Step-by-step explanation:
Answer:
E
Step-by-step explanation:
E represents the number of moths initially with the darkest wing colour, and the number of these will increase if the moth's predator (hawks) finds it more difficult to locate them, as the moths with the darkest colour wings will be more likely to survive to reproduce so will increase in number (natural selection).
Hope this helps!
The tree diagram shows Leila's choices for dinner at a restaurant. How many possible dinner combinations exist?
Answers
Based on the tree diagram, there are a total of 12 possible dinner combinations for Leila.
Define combinations?
In mathematics, combinations are a way to count the number of ways to choose a subset of items from a larger set, where the order of the chosen items does not matter. The number of combinations is often denoted using the symbol "n choose k", where n is the total number of items and k is the number of items being chosen.
To see why, we can count the number of paths through the tree diagram. Starting at the top, there are 2 choices for the type of dips: Guacamole dip or Cheese dip. For each of these choices, there are 2 choices for the dessert : Burrito and Enchilada. Finally, for each main course, there are 2 choices for the main course: Chicken and Beef.
Multiplying the number of choices at each step, we get:
2 (choices for dips) x 2 (choices for dessert) x 2 (choices for main course) = 8 possible dinner combinations.
Therefore, there are 3 possible dinner combinations for Leila.
To learn more about subset from the given link :
https://brainly.com/question/23454979
#SPJ1
Which number is equivalent to 2^3x = 10
Answers
Answer:
5/4
Step-by-step explanation:
see steps below:)
Darcy sold lemonade in rhe summer. Lemonade is her favorite summertime drink. 1/2 of her recipe is fresh lemons . 1/3 of her recipe is sugar. The rest of the recipe is water. What fraction of the recipe is water
Answers
Answer:
1/6
Step-by-step explanation:
fraction of water = 1 - (1/2 + 1/3)
)[tex]\frac{1}{2} + \frac{1}{3}[/tex]
[tex]\frac{3 + 2}{6}[/tex]
5/6
1 - 5/6
6/6 - 5/6 = 1/6