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3 years ago

Simplify m - {n + [p - (m + n - p)]}. a. -2m + 2p b. 2m - 2p c. -2m - 2p

Mathematics

2 answers:

zzz [600]3 years ago

6 0

Answer: The correct option is (b) $2m-2p.$

Step-by-step explanation: We are given to simplify the following expression:

$E=m-\{n+[p-(m+n-p)]\}$

We will be using the simple algebraic operations and the rule of BODMAS to simplify the above expression.

The simplification is as follows:

$E\\\\=m-\{n+[p-(m+n-p)]\}\\\\=m-\{n+[p-m-n+p]\}\\\\=m-\{n+[2p-m-n]\}\\\\=m-\{n+2p-m-n\}\\\\=m-\{2p-m\}\\\\=m-2p+m\\\\=2m-2p.$

Therefore, the simplified form is $2m-2p.$

Thus, (b) is the correct option.

Vlad [161]3 years ago

5 0

To simplify the following expression, we first simplify the terms inside the parenthesis from inner going outer. The first one is [p - (m + n - p)] equal to p - m- n + p = 2p - m - n. Then, n +2p - m - n equal to 2p -m. Then, m - 2p + m equal to 2m -2p. Answer is B

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Answer:

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Step-by-step explanation:

Given :-

sin² a/2 - sin a/2 + 1/4

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bazaltina [42]

Answer:

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b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

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Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

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Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

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a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. $\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\$

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b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

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c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

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Total Surface area of the given triangular pyramid will be equal to Lateral Surface Area + Area of base

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Hence,

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c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

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Dmitry [639]

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Harrizon [31]

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