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3 years ago

A dog is tied with a rope to a stake in the ground. The length of the rope is 10 yards.

Mathematics

1 answer:

serg [7]3 years ago

5 0

Answer:

the area in square yards is 100πyd^2

Step-by-step explanation:

The computation of the area is shown below:

Area = πr^2

= π10^2

= 100πyd^2

Hence, the area in square yards is 100πyd^2

We simply applied the above formula to determine the area

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Which number is an irrational number??

insens350 [35]

Answer:

C -2.2675

Irrational numbers cannot be expressed as a fraction for any integers and they have decimal expansions

7 0

3 years ago

A path 2.5m wide is running outside a square field whose side is 45m. Determine the area of the path.

aliya0001 [1]

Answer:

The area of the path would be 231.25 squared meters.

Step-by-step explanation:

Consider the path as 45m (the field's area), then add 2.5m to all of the sides. You'll get 47.5m on all sides. Then you do 47.5² to get 2256.25 squared meters. After that, you'll remove the area of the squared field. To do this, do 45m². By doing this, you'll get 2025 squared meters. Lastly, to finish up the question, do 2256.25 - 2025. This would get you 31.25 squared meters, the answer.

4 0

3 years ago

Choose the correct ordered pairs represented in the table. The following table gives per unit cost for furniture and shows selli

erastova [34]

Given the table

C : 1, 2, 3, 4, 5

F(C) : 4, 6, 8, 10, 12

Usually, the independent variable is represented by the x-value while the dependent variable (or the function) is represented by the y-value.

Thus the points represented by the table are:

(1, 4), (2, 6), (3, 8), (4, 10) and (5, 15).

5 0

4 years ago

44. Express each of these system specifications using predicates, quantifiers, and logical connectives. a) Every user has access

DENIUS [597]

Answer:

a. ∀x (User(x) → (∃y (Mailbox(y) ∧ Access(x, y))))

b. FileSystemLocked → ∀x Access(x, SystemMailbox)

c. ∀x ∀y ((Firewall(x) ∧ Diagnostic(x)) → (ProxyServer(y) → Diagnostic(y))

d. ∀x (ThroughputNormal ∧(ProxyServer(x)∧ ¬Diagnostic(x))) → (∃y Router(y)∧Functioning(y))

Step-by-step explanation:

Let the domain be users and mailboxes. Let User(x) be “x is a user”, let Mailbox(y) be “y is a mailbox”, and let Access(x, y) be “x has access to y”.

∀x (User(x) → (∃y (Mailbox(y) ∧ Access(x, y))))

(b)

Let the domain be people in the group. Let Access(x, y) be “x has access to y”. Let FileSystemLocked be the proposition “the file system is locked.” Let System Mailbox be the constant that is the system mailbox.

FileSystemLocked → ∀x Access(x, SystemMailbox)

(c)

Let the domain be all applications. Let Firewall(x) be “x is the firewall”, and let ProxyServer(x) be “x is the proxy server.” Let Diagnostic(x) be “x is in a diagnostic state”.

∀x ∀y ((Firewall(x) ∧ Diagnostic(x)) → (ProxyServer(y) → Diagnostic(y))

(d)

Let the domain be all applications and routers. Let Router(x) be “x is a router”, and let ProxyServer(x) be “x is the proxy server.” Let Diagnostic(x) be “x is in a diagnostic state”. Let ThroughputNormal be “the throughput is between 100kbps and 500 kbps”. Let Functioning(y) be “y is functioning normally”.

∀x (ThroughputNormal ∧(ProxyServer(x)∧ ¬Diagnostic(x))) → (∃y Router(y)∧Functioning(y))

4 0

3 years ago

Which of the following is equivalent to 12/20

PolarNik [594]

12/20 can be simplified to 3/5

6 0

3 years ago

Read 2 more answers