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3 years ago

Simplify (2 (radical 5) - 4) (3 (radical 5) +2)

1 answer:

6 0

$(2 \sqrt{5}-4 )(3 \sqrt{5}+2 )=\\2*3*5+2*2* \sqrt{5} -4*3* \sqrt{5}-4*2= \\ 30+4 \sqrt{5}-12 \sqrt{5}-8= \\ 22-8 \sqrt{5}$

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Seventh grade

victus00 [196]

Answer:

Maybe it could be six or 30

Step-by-step explanation:

7 0

3 years ago

Answer correctly !!! will mark Brianliest pleaseeeeeee

Verizon [17]

Answer:

20 degrees

Step-by-step explanation:

First, draw the triangle and label the sides and angles. (See the picture attached)

The red lines on sides FG and HF indicate that the sides are congruent since this is an isosceles triangle. Isosceles triangles have two congruent sides and angles.

All angles add up to 180 degrees. You were already given 140 for angle F. So, use to find angle h, subtract 140 from 180 and divide by 2.

180 - 140 = 40

40 / 2 = 20

Angle h is 20 degrees

4 0

2 years ago

Read 2 more answers

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

How many times does 15 go into 75

bulgar [2K]

75 / 15 = 5
whe the question says "how many times does y go in to x " you reverse the numbers and divide

4 0

3 years ago

Read 2 more answers

Considere um triângulo retângulo, cujos ângulos agudos a e b satisfazem à condição cos a = 0,8 e cos b = 0,6 Determine a área de

Anni [7]

Answer:

7.5 cm^2

Step-by-step explanation:

Aqui, temos Cos A = 0,8 = 8/10 = 4/5.

Cos B = 0,6 = 6/10 = 3/5.

O que isto significa é que os dois outros lados do triângulo retângulo são 3 cm e 5 cm, respectivamente.

Isso ocorre porque, o oposto do ângulo agudo A é adjacente ao ângulo agudo B e vice-versa.

Portanto, a partir dos valores de ambos, podemos obter os dois outros lados.

Matematicamente, a área da direita é 1/2 * b * h b e h são 3 e 5, respectivamente.

Assim, área = 1/2 * 3 * 5 = 7,5 cm ^ 2

7 0

3 years ago