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2 years ago

What is the height and area of the polygon?

Mathematics

1 answer:

bija089 [108]2 years ago

7 0

Answer:

Below in bold.

Step-by-step explanation:

If we draw a line from top right vertex perpendicular to the bottom line we get a right triangle.

Height of this triangle = sqrt(5^2 - 3^2) = 4.

This is also the height of the polygon.

The polygon is a trapezium so:

Area of the polygon = 1/2(5 + 8) * 4

= 6/5 * 4

= 26 m^2.

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Step-by-step explanation:

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2 years ago

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In triangle EFG, m of E = 30 degrees, m of F = 60 degrees, and m of G = 90 degrees. Which of the following statements about tria

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Answer:

A. EG = √3 × FG

D. EG = √3/2 × EF

E. EF = 2 × FG

Step-by-step explanation:

∵ tan 60 = √3

∵ tan60 = EG/GF

∴ EG/GF = √3

∴ EG = √3 × GF ⇒ A

∵ m∠F = 60°

∵ sin60 = √3/2

∵ sin 60 = EG/EF

∴ √3/2 = EG/EF

∴ EG = √3/2 × EF ⇒ D

∵ cos60 = 1/2

∵ cos60 = GF/EF

∴ GF/EF = 1/2

∴ EF = 2 × GF ⇒ E

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3 years ago

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The captain of a boat knows that a lighthouse on the coast is 100 ft. tall. If he measures the angle of elevation to be 2 degree

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Answer and Step-by-step explanation:

| \

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100 ft. | \

| 2 \

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Use tangent to find the x.

tan(2) = $\frac{100}{x}$

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2 years ago

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

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Answer:

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

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

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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.

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(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)

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3 years ago

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baherus [9]

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3 years ago