answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
muminat
2 years ago
13

A goat is tethered by a 6 metre rope to the outside corner of a shed measuring 4 metres by 5 metres in a grassy field. What area

of grass can the goat graze? ...?
Mathematics
1 answer:
Naily [24]2 years ago
8 0
(3/4)∗π∗62=27π
Also , the goat can reach around the corners by 2 on the short sides and 1 on long side.creating 2 90 degree sectors of additional grazing area.(1/4)∗π∗22=π
(1/4)∗π∗12=π/4
27π+π+π/4=28.25π
You might be interested in
A quilt is designed using a square pattern. Each square contains two rectangles. Each rectangle contains a shaded rhombus.
Alisiya [41]

Answer:

The value of x is 55 ⇒ 2nd answer

Step-by-step explanation:

* Lets revise the properties of the rhombus

- It has 4 equal sides

- Every two opposite sides are parallel

- Every two opposite angles are equal

- Every two adjacent angles are supplementary (their sum is 180°)

* Now lets solve the problem

- A square divided into two rectangles

- Each rectangle contains a shaded rhombus

- The shaded rhombus has two adjacent angles their measures are

 (2x + 20)° and 50°

∵ Every two adjacent angles in the rhombus are supplementary

∵ The sum of the supplementary angles = 180°

∴ The sum of the measures of the angles (2x + 20)° and 50° is 180°

- lets put the equation and solve it to find x

∴ (2x + 20)° + 50° = 180° ⇒ add the like terms

∴ 2x + 70° = 180° ⇒ subtract 70° from both sides

∴ 2x = 110° ⇒ divide both sides by 2

∴ x = 55°

* The value of x is 55

7 0
2 years ago
Read 2 more answers
1/2(6+3p)-3/4(8-10p)<br>Expand and simplify <br>show all steps
olganol [36]
\frac{6+3p}{2} -  \frac{3}{4} (8 - 10p) \\ \\  \frac{6 + 3p}{2} -  \frac{3(8-10p)}{4} \\ \\   \frac{6+3p}{2} -  \frac{3 \times 2(4 - 5p)}{4} \\ \\  \frac{6+3p}{2} -  \frac{6(4-5p)}{4} \\ \\  \frac{6+3p}{2} -  \frac{3(4-5p)}{2}  \\ \\  \frac{6+3p - 3(4-5p)}{2} \\ \\   \frac{3(2 +p - 4 + 5p}{2} \\ \\  \frac{3(2 + (p + 5p) - 4)}{2} \\ \\  \frac{3(2+6p-4)}{2} \\ \\  \frac{3 \times 2 (1 + 3p-2)}{2} \\ \\  \frac{3 \times 2(3p - 1)}{2} \\ \\  \frac{6(3p -1 }{2} \\ \\ 3(3p - 1) \\ \\ Answer: \fbox {3(3p-1)}
7 0
2 years ago
The Ford Mustang can travel at a rate of 160 miles in 2 hours. The Toyota Corolla can travel at a rate of 210 miles in 3 hours.
Alexeev081 [22]

Answer:

The Ford Mustang can travel at a faster rate.

Step-by-step explanation:

160/2 = 80/1   miles/hour -Ford Mustang

210/3 = 70/1    miles/hour - Toyota Corolla

7 0
2 years ago
There are 90 sixth graders at Wilson Middle School. Only 50% of the sixth graders will attend the morning assembly. How many six
SVETLANKA909090 [29]

Answer: 45


Step-by-step explanation:

Divide 90 by 2 and you will the the answer of 45.

7 0
2 years ago
Read 2 more answers
Arrange the circles (represented by their equations in general form) in ascending order of their radius lengths. Tiles x2 + y2 −
sashaice [31]
When doing this, we would have to first straight them all out, and as we see above, they are just all over the place, and then, we would have to set them up as a sequence.

\left[\begin{array}{ccc}5x2 + 5y2 - 20x + 30y + 40 = 0\end{array}\right] would be our first step in this problem mainly because it contains the most terms in this aspect.

Then we would then x2 + y2 - 2x + 2y -1 = 0, then, 2x2 + 2y2 - 28x - 32y - 8 = 0.

These would only be our first 3 part of the sequence in this aspect.

The others would then be the following:

\boxed{x2 + y2 + 12x - 2y - 9 = 0 } \ then \ , \boxed{x2 + y2 - 4x + 4y - 10 = 0} \\ \\ then \ \boxed{x2 + y2 - 8x - 6y -20 = 0}

Thus, as we would have one more afterward, our last part of the sequence would then be the following.

\boxed{\boxed{4x2 + 4y2 + 16x + 24y - 40 = 0}}

I hope this was found helpful!
3 0
2 years ago
Read 2 more answers
Other questions:
  • A right rectangular prism and an oblique triangular prism are both 12 centimeters tall and have the same volume. What Statement
    15·1 answer
  • Jenny studied the characteristics of two species of bacteria. The number of bacteria of species A, A(t), after t hours is repres
    5·2 answers
  • What is the value of x in the linear inequality? -3(4x-8.2) &lt; -11.98x + 14 3/4
    7·1 answer
  • Winston pays $8 for a burger, an order of fries, and a soft drink. Tia buys 2 burgers and a soft drink for $10.50. George buys 2
    12·1 answer
  • Sean took the bus from Seattle to Boise, a distance of 506 miles. If the trip took 723 hours, what was the speed of the bus?
    7·2 answers
  • Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours.
    6·1 answer
  • Brandon purchased a new guitar in 2012. The value of his guitar, t years after he bought it, can be modeled by the function A(t)
    15·1 answer
  • Riya purchased a machine for Rs36000 and spent Rs2400 on its repair. She then sold it for Rs42000. Find the gain or loss percent
    11·2 answers
  • The average mass of 9 boys is 50 kg. what is their total mass​
    15·1 answer
  • A recent poll in your state shows that 25% of the vehicles are SUV’s and 10% are trucks. The poll counted 5 million SUV’s. How m
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!