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3 years ago

Please help! This is a similar shape question

Mathematics

2 answers:

blsea [12.9K]3 years ago

8 0

Answer:

5612 grams that is the answer

kondor19780726 [428]3 years ago

7 0

Answer:

5760 grams

Step-by-step explanation:

Find the scale factor that A has been multiplied by to get B:

40.32/28 = 1.44

square root 1.44 to get the real sf:

√1.44 = 1.2

then divide 6912 by 1.2 to get the mass of A:

6912/1.2 = 5760 grams

hope this helps!

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Complete this statement: 45ax2 + 27ax + 18a = 9a(

mihalych1998 [28]

Answer:

9 a (5 x^2 + 3 x + 2)

Step-by-step explanation:

Simplify the following:

45 a x^2 + 27 a x + 18 a

Factor 9 a out of 45 a x^2 + 27 a x + 18 a:

Answer: 9 a (5 x^2 + 3 x + 2)

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3 years ago

If Gary is 11 years old how old are each of the family members

Korolek [52]

Answer:

everyone except his smaller siblings will be older than him

Step-by-step explanation:

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3 years ago

NEED HELP!!!!!!!!!!!!!

solniwko [45]

Answer:

5x - 4

Step-by-step explanation:

4x - 2 + x - 2

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5x - 4

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3 years ago

Kyndal wants to buy a lamp that

fenix001 [56]

Answer:

$39.36

Step-by-step explanation:

Since its 20% off that means we still have a remaining 80% so first multiply 0.8 to the 82

82x0.8= 65.6

Since there is a additional 40% off multiply by 0.4 to get the discount amount

65.6x0.4= 26.24

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5 0

3 years ago

Use the formula for the cosine of the difference of two angles to find the exact value of the following expression.

Zolol [24]

Answer:

Exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

Step-by-step explanation:

Given:

Cos(45° - 60°)

We have to apply the formula of cosine for difference of the two angles.

Formula:

$cos(a-b)=cos(a)\ cos(b)+sin(a)\ sin(b)$

Plugging the values.

⇒ $cos(45-60)=cos(45)\ cos(60) + sin(45)\ sin(60)$

We know that the values :

$sin(45) =cos(45) = \frac{1}{\sqrt{2} }$

$sin(60)=\frac{\sqrt{3} }{2}$ and $cos(60)=\frac{1}{2}$

So,

⇒ $cos(45-60)=(\frac{1}{\sqrt{2} } \times \frac{1}{2} ) + (\frac{1}{\sqrt{2} } \times \frac{\sqrt{3} }{2})$

⇒ $cos(45-60)=(\frac{1}{2\sqrt{2} } + \frac{\sqrt{3} }{2\sqrt{2} })$

⇒ $cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )$

⇒ $cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )\times \frac{2\sqrt{2} }{2\sqrt{2} }$ ...rationalizing

⇒ $cos(45-60)=\frac{2\sqrt{2} +2\sqrt{6} }{ 8}$

⇒ $cos(45-60)=\frac{2(\sqrt{2}+\sqrt{6})}{8}$ ...taking 2 as a common factor

⇒ $cos(45-60)=\frac{(\sqrt{2}+\sqrt{6})}{4}$

To find the exact values we have to put the values of sq-rt .

As, $\sqrt{2}=1.41$ and $\sqrt{6} =2.44$

Then

⇒ $cos(45-60)=\frac{( 1.41+2.44)}{4}$

⇒ $cos(45-60)=\frac{( 3.85)}{4}$

⇒ $cos(45-60)=0.96$

So the exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

3 0

3 years ago