A goat is tied to the corner of a rectangular shed in a large field full of grass. The rope is 2 yards long and a plane view (from above) of the shed and field is shown below. Use this information for Parts A and B below.
Part A: Calculate the area of grass that the goat can eat.
Part B: What length of rope would enable the goat to eat 30 square yards of grass? Show all your reasoning.
Answer:
9.42 yd²3.57 ydStep-by-step explanation:
Part AThe area of circle with radius of 2 yd (the length of the rope) is:
A = π*r² = 3.14*2² = 12.56 yd²Since 1/4 of the circle is occupied by the shed, the area of the grass is:
12.56*3/4 = 9.42 yd²Part BLet the area be 30 yd², finding the r as per above formula:
3/4*3.14*r² = 30r² = 30*4/3*3.14r² = 12.74r = √12.74r = 3.57 yd8 Dvided by 3/5 HELP MEEEEEEEE
Answer:
40/3
Step-by-step explanation:
direction: simplify the following fractions
1.6/12
2.9/15
3.8/10
4.6/14
5.8/18
Answer:
1.9/63 is the answer!!!!!
A recipe uses 2 eggs to make 24
cookies. How many cookies could
you make with 9 eggs?
Answer:
49-50 cookies
Step-by-step explanation:
Hope this was helpful, Have a Wonderful Day!!
pog help pog pog pog pog pog pog pog pog pog
Answer:
POG
Step-by-step explanation:
poggers + poggers = POGCHAMP
Answer:
only the green and pink line repent a proportional relationship
13.25 x 64 please awnser it's for a test and I have no idea what it is.
Answer :
13.25 x 64
=848
Answer:
453x ^64 /4
Step-by-step explanation:
Solve for x.
4x +4=12
Answer:
x = 2
Step-by-step explanation:
4x +4=12
-4. -4
4x.= 8
divide both saide by 4
x. = 2
Subtract 4 from both sides
4x + 4 - 4 = 12 -4
Simplify
4x = 8
Divide both sdes by 4
4x/4 = 8/4
Simplify
x = 2
If f(x) = 8x2 + 4x - 12. Find f(2)
f(2)=
Answer:
f(2) = 28
Step-by-step explanation:
[tex] \rm f(x) = 8 {x}^{2} + 4x - 12 [/tex]
[tex] \rm Evaluate \: 8 x^2 + 4 x - 12 \: where \: x = 2: \\ \\ \rm \implies f(2) = 8 \times {2}^{2} + 4 \times 2 - 12 \\ \\ \rm \implies f(2) = 8 \times 4 + 8 - 12 \\ \\ \rm \implies f(2) = 32 - 4 \\ \\ \rm \implies f(2) = 28[/tex]
E E E HEY PLEASE HELP. IM LITERALLY ABOUT TO END MYSELF.
Answer:
( 5 , - 2 )
Step-by-step explanation:
( 10 × [tex]\frac{1}{2}[/tex] , - 4 × [tex]\frac{1}{2}[/tex] ) = (5, - 2)
The price of stock A at 9 a.m. was $15.75. Since then, the price has been increase at rate of $.05 per hour. At noon , the price of stock B was $16.53. It begin to decrease at the rate of $.13 per hour. If the stock continue to increase and decrease at the same rate, in how many hours will the price of the stocks be the same?
Answer:
Step-by-step explanation:
15.75 plus .05x = 16.53-.13x
.78=.18x
4.3 hours is your answer
Which of the following represents the prime factortzation of 72?
023.32.4
th
023.32
02.32.42
22.33
Answer:
2³ x 3²
Step-by-step explanation:
The prime factorization of a number is the process of breaking down a number to a set of prime numbers that their product will give the original number:
72
2 x 36
2 x 2 x 18
2 x 2 x 2 x 9
2 x 2 x 2 x 3 x 3
So;
The prime factorization is 2³ x 3²
What is the equation of the line that passes through the point (-9,6) and is perpendicular to the line
y = 3x - 52
A baseball is thrown in a parabolic arch
How do I solve for x 7x–1=125
Answer:
x=18
Step-by-step explanation:
You add 1 on each side so you have 7x=126. Then you divide each side by 7, so you get x=18! Hope this helps!
What is the equation of the line in slope-intercept form?
Answer:
the slope is 3/5 so,
y=3/5x+3
Step-by-step explanation:
just solve for the slope and the coordinate point are gives you the b!
Pleeeeeeeeeeeeeeeeaaaaaaaaaaaaaasssssssssssssseeeeeeee help ASAP and giving 33 points the ma is the -2 and the 5 and t is -4 and h is -8
Answer:
-320
Step-by-step explanation:
-2×5 (-4×-8)
-10(32)
-10×32
-320
Which equation represents a lineThat passes through (-2, 4) and has a slope of 2/5
Answer:
-2,4
Step-by-step explanation:
How can a percent be used to describe a change in quantity?
Answer:
remember,a percent means "per 100".You can describe the change as a fraction comparing the amount of change to the original and then use a proportion to rewrite your problem as a percentage out of 100.
What is 12% of $19.50?
A: 0.23
B: 1.20
C: 2.34
D: 7.50
please say how you got the answer to ty!!! AND I WILL MARK BRAINLIEST!!
find the 8th term of the geometric sequence 4, -20, 100, ...
Answer:
312500
Step-by-step explanation:
I believe the pattern is x5 x-5 x5 x-5 and if you follow that pattern, you get 312500. im sorry if im wrong
Put the integers in order from least to greatest. = - 3 =5 =2 = - 4
Answer:
-4, -3, 2, 5
Step-by-step explanation:
hope this helps.
Which number completes the inequality -5.13 blank -4.8
-5.3 - 5.23 - 4.38 - 5.1
Answer:
The answer is 5.1.
(-5.13 5.1 -4.8)
Hope this helps! <3
Answer:
It is 5.1.
Step-by-step explanation:
I took the test. Have a great day :)
The line below has slope 4 and y-intercep
3. Write the equation of the line in slope
intercept form
5
Answer:
y=4x+3
y=-2x+3
Step-by-step explanation:
What value of v makes the equation 3.1v + 1 = 2.5v – 3.5 true
Answer:
-7.5
Step-by-step explanation:
Answer:
What value of v makes the equation 3.1v + 1 = 2.5v – 3.5 TRUE? Show your work.
Step-by-step explanation:
Is 900% of 6 less than 10, greater than 10 but less than 100, or greater than 100?
Answer:
its greater than 10 but lesser than 100 because simplifying them in fractional form indeed informs u that its greater than 10
when dividing 592 by 9.25, how many zeros will be placed in the dividend?
A: one
B: two
C: three
D: four
Directions: Solve the multi-step equation showing your work!
Please help me if you know how to do this
Question 17
Answer: choice C) y = (x-2)^2 - 3--------------------
Explanation:
We know that a = 1 so it matches with the 'a' value in y = x^2. Otherwise, the shapes wouldn't match up and they wouldn't be congruent.
The vertex we want is (h,k) = (2,-3)
Therefore,
y = a(x-h)^2 + k
y = 1(x-2)^2 + (-3)
y = (x-2)^2 - 3
================================================
Question 18
Answer: choice B) min point; -4--------------------
Explanation:
The equation y = 3(x-1)^2 - 4 is in the form y = a(x-h)^2 + k which is known as vertex form.
a = 3 being positive tells us the graph opens upward and we have a min point. There is no max point as it goes on forever upward.
The min point is k = -4 which is the y coordinate of the vertex.
================================================
Question 19
Answer: Choice B) y = (1/2)x^2 + 3x - 5--------------------
Explanation:
The equation opens up, so the value of 'a' must be positive. This narrows our choices to A or B.
We eliminate choice A because that graph is more narrow compared to y = x^2. Choice B is wider and flatter compared to y = x^2 due to 1/2 being smaller than 1.
solve for x and why please using these!!!
Answer:
[tex]x = 40[/tex]
[tex]y = 5[/tex]
Step-by-step explanation:
[tex]4x = 2x+80\\2x = 80\\x = 40[/tex]
Edit: Solve for Y
A straight line is 180 degrees so one side (the x side) is 160°, The Y side is 20, and you can work backwards by -
[tex]8y - 20 = 20\\8y = 40\\y = 5[/tex]
Help! Please!!! I seriously need this!!!!!
Answer:
it's related by product of 5/3 and directly proportional