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VARVARA [1.3K]
3 years ago
14

what is the exact value of sin 22.5 degrees using the sum, difference, half, or double angle formulas and the exact value chart

in the solution.
Mathematics
1 answer:
AlexFokin [52]3 years ago
8 0
cos 2x=1-2sin^2x \\ cos 45^0=1-2sin^2(22,5)^0 \\  \frac{ \sqrt{2} }{2} =1-2sin^2(22,5)^0 \to sin(22,5)^0= \frac{ \sqrt{2- \sqrt{2} } }{2}
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Write the quadratic equation whose roots are 1 and -2, and whose leading coefficient is 3.
kirill115 [55]

Answer:

  • See below

Step-by-step explanation:

<u>The quadratic equation in factored form:</u>

  • a(x - α)(x - β), where a- leading coefficient, α and β - roots

<u>We have:</u>

  • a = 3, α = 1, β = -2

<u>Substitute them to get:</u>

  • 3(x - 1)(x + 2)

<u>Converting this into standard form:</u>

  • 3(x - 1)(x + 2) =
  • 3(x² + x - 2) =
  • 3x² + 3x - 6
3 0
3 years ago
Eric noticed that his basil plant grows 5 cm every day. He starts recording the height when the plant is 22 cm tall. He wants to
slava [35]
The answer is B because you multiply 14 days (2 weeks) to 5 which is 70 then you add the other 22cm and that's how you would end up with 92cm
5 0
3 years ago
Math help please =)
a_sh-v [17]
2x - 3 < 11 or 8x -10 < 82:  <span>X < 23/2
<span>
Part 1</span>
</span>2x-3<11
Add 3 both sides
2x-3+3<11+3
Refine
2x<14
Divide by 2 on both sides
2x / 2    /   14 / 2
Refine
x < 7
<span>
Part 2</span>
8x-10<82
Add 10 to both sides
8x-10+10<82+10
Refine
8x<92
Divide by 8
8x / 8   /   92 / 8
Refine
x < 23 / 2
7 0
3 years ago
How many grams of NH3 are required to produce 4.65 g of HF
nignag [31]

1.326 grams of NH3 are required to produce 4.65 g of HF.

Step-by-step explanation:

Balanced chemical reaction is written first to know the number of moles taking part in original reaction.

NH3 +3 F2 ⇒3 HF  +  NF3

Given:

mass of HF = 4.65

First the number of moles of HF in 4.65 grams is calculated by using the formula:

number of moles (n) = \frac{mass}{atomic mass of 1 mole}

atomic mass of HF = 20 grams/mole

putting the values in the above equation number of moles can be found.

n = \frac{4.65}{20}

  = 0.235 moles of HF are given.

From the equation it can be said that:

1 mole of NH3 reacts to form 3 moles of HF

so, x moles of NH3 would react to form 0.235 moles of HF

\frac{3}{1} = \frac{0.235}{x}

3x = 0.235

x = \frac{0.235}{3}

x = 0.078 moles of NH3 is required.

The moles are converted to mass by applying the formula:

mass = atomic mass X number of moles (atomic mass of NH3 = 17 grams/mole)

        putting the values in the formula

mass = 17 X 0.078

mass = 1.326 grams

8 0
3 years ago
What is 1,23456817653 + 3,236157885 = ? Please
Ilia_Sergeevich [38]

Answer:

It is

{ \underline{ +  \binom{123456817653}{3236157885}  }} \\{ \boxed{ \boxed{126692967553 8}}}

6 0
3 years ago
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