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3 years ago

I don't understand???? I'll give the brainliest!!!!!

Mathematics

1 answer:

olasank [31]3 years ago

6 0

Answer:

Option A is the correct option.

Step-by-step explanation:

${a}^{2} + {b}^{2} - 2ab \: \cos \: c \: = {c}^{2} \\ a = 4 \\ b = 5 \\ c = 2 \\ \\ 2ab \: cos \: c = {a}^{2} + {b}^{2} - {c}^{2} \\ \: \: \: \: \: \: \: \: = {(4)}^{2} + {(5)}^{2} - {(2)}^{2} \\ \: \: \: \: \: \: \: \: = 16 + 25 - 4 \\ \: \: \: \: \: \: = 41 - 4 \\ \: \: \: \: \: \: = 37$

Hope this helps...

Good luck on your assignment...

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Find the perimeter of a square with side a. Are the perimeter of the square and the length of its side directly proportional qua

erik [133]

Answer:

The perimeter is 8 cm.

Yes, the perimeter of a square is directly proportional to its side length.

Step-by-step explanation:

Given:

The side length of the square is, $a=2\ cm$

The perimeter of a square is the sum of all of its side lengths. The perimeter of a square of side length 'a' is given as:

$P=a+a+a+a=4a$

Plug in $a=2\ cm$ and find perimeter, 'P'. This gives,

$P=4\times 2=8\ cm$

Therefore, the perimeter is 8 cm.

Now, two quantities are directly proportional only if their ratio is a constant.

Let us find the ratio of 'P' and 'a'.

We have, $P=4a$

Dividing both sides by 'a', we get:

$\frac{P}{a}=\frac{4a}{a}\\\frac{P}{a}=4(Constant)$

Therefore, the ratio of perimeter and side length is a constant. Hence, these are directly proportional quantities.

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2 years ago

The table gives the lowest recorded temperatures in Fahrenheit for each of four cities.

kiruha [24]

Answer:

Step-by-step explanation:

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2 years ago

What is the cube root of 27a^12

tino4ka555 [31]

ANSWER

$3{a}^{4 }$

EXPLANATION

The cube root of

$27 {a}^{12}$

$\sqrt[3]{27 {a}^{12} }$

This is the same as:

$(27 {a}^{12} )^{ \frac{1}{3} }$

$( {3}^{3} ({a}^{4})^{3} )^{ \frac{1}{3} }$

$= (3{a}^{4} )^{3 \times \frac{1}{3} }$

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3 years ago

Write as an algebraic expression: Two less than two times a number (y).

Nataly [62]

Answer:

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Step-by-step explanation:

As it says a number is less than 2 times a number which is given as y.

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2 years ago

Which situation could best be represented by the integer 120

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2. this number would be positive

3. could be between -1 to - infinity

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2 years ago