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VladimirAG [237]
3 years ago
15

What is the area of this figure? Enter your answer in the box below.​

Mathematics
1 answer:
viva [34]3 years ago
8 0

Answer:

A = 81 m²

Step-by-step explanation:

The formula for area of the parallelogram is

 A = LH         where L is the length of the base, and H is the height

L is given as 9, and H is given as 5, so

 A = (9)(5) = 45 m²

The are of the triangle is

 A = (1/2)bh         where b is the base and h is the height

b is given as 9.  Its's 9 because that side of the parallelogram is parallel to the base of the parallelogram and is also equal in measure.  The height of the triangle is give as 8, so the area is..

 A = (1/2)(9)(8)

       A = 36  m²

The total area is

45 m² + 36 m² = 81 m²

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What is the angular velocity of a point that rotates through
ivann1987 [24]

Answer:

Option A

Step-by-step explanation:

Angular velocity of an object is defined by,

Angular velocity (w) = \frac{\triangle \theta}{\triangle t}

Here, Δθ = Change in angle of rotation

Δt = Duration or time

In this question Δθ = \frac{7\pi }{2} radians and Δt = 24 seconds

Therefore, angular velocity = \frac{\frac{7\pi }{2} }{24}

                                              = \frac{7\pi }{48} radians per second

Option A is the answer.

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xz_007 [3.2K]

Answer:

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Step-by-step explanation:

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Ede4ka [16]

Option D: A(n) = a + (n – 1) d

Solution:

To identify the formula for finding the nth term of an arithmetic sequence.

Let a be the first term.

d be the common difference of the each term.

n be the term of the number.

A(n) be the nth term of the arithmetic sequence.

Arithmetic formula:

A(n) = a + (n – 1) d

Example: 1, 4, 7, 10, 13, 16, 19, ...

This is a arithmetic sequence.

a = 1, d = 4 – 1 = 3.

To find the 5th term:

Substitute this in the above formula, we get

A(n) = a + (n – 1) d

A(5) = 1 + (5 – 1) 3

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In the given sequence 5th term is 13.

Hence Option D is the correct answer.

A(n) = a + (n – 1) d

8 0
3 years ago
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