3 years ago

How is shape d different from shapes A, B, and C?

Mathematics

1 answer:

seraphim [82]3 years ago

7 0

Shape D is not a quadrilateral

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A pencil and ruler cost $1.50 together. The ruler costs $1.00 more than the pencil. How much does the pencil cost.

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3 years ago

(8m-3n)^2 - (4m+3n)^2

natulia [17]

Answer:

$48m^2-72mn$

Step-by-step explanation:

We need to solve $(8m-3n)^2 - (4m+3n)^2$

We know that,

$(a+b)^2=a^2+b^2+2ab\\\\(a-b)^2=a^2+b^2-2ab$

Using the above formula,

$(8m-3n)^2 - (4m+3n)^2=(8m)^2+(3n)^2-2(8m)(3n)-[(4m)^2+(3n)^2+2(4m)(3n)]\\\\=64m^2+9n^2-48mn-(16m^2+9n^2+24mn)\\\\=64m^2+9n^2-48mn-16m^2-9n^2-24mn\\\\=48m^2-48mn-24mn\\\\=48m^2-72mn$

So, the final answer is $48m^2-72mn$ .

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3 years ago

Rewrite the six trigonometric functions of theta in termsn of sin and or cosine of the reference anfle, sketch botht eh given an

Ede4ka [16]

There are mainly six trigonometric functions for right angle triangle which are

sinФ
cosФ
tanФ
cosecФ
secФ
cotФ

All of these can be expressed in the form of sinФ and cosФ as following:

sinФ = sinФ
cosФ = cosФ
tanФ = sinФ/cosФ
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secФ = 1/cosФ
cotФ = cosФ/sinФ

This angle Ф is shown in the attached drawing in a right angle triangle drawn within a circle which is the given angle. Right angle is mentioned as "90".

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The number of State Parks in California is 36 more than one third the number of State Parks in Florida. There are 85 State Parks

Ber [7]

C = 1/3f + 36
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1/3f + 36 = 85 <===

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3 years ago