All categories

2 years ago

Find the value of the expression mentally.

Mathematics

1 answer:

pentagon [3]2 years ago

5 0

Answer:

Step-by-step explanation:

This is multiplying by the powers of 10:

100= $10^{2}$

Equation:-

=(0.6) x $10^{2}$

=60

You might be interested in

What is the length of XPY in terms of pi?

Elis [28]

Circumference of a circle = 2πr

Circumference of the whole circle= 2π(30) = 60π

360 - 90 = 270

Length XPY = 270/360 x 60π = 45π

Answer: 45π m

5 0

3 years ago

Read 2 more answers

Hot dogs are sold in packages of 8, and hot dog buns are sold in packages of 12. What's the smallest number of each that could b

PIT_PIT [208]

24 is the answer 8x3 = 24 12x2 = 24 8*3 = 12*2

7 0

3 years ago

Besides using the proper formula, what must you be cautious of when calculating the area of geometric

abruzzese [7]

Answer:

be cautious of the answer

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Round each decimal to the nearest whole number 4.5

Vikentia [17]

its is the closet one too the right one

3 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