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levacccp [35]
3 years ago
15

Simplify cos5cos40-sin5cos40

Mathematics
2 answers:
worty [1.4K]3 years ago
8 0
<span>= sin(40+50)
= sin 90
= 1
</span>
galben [10]3 years ago
3 0

Answer:

cos(5)cos(40) - sin(5)cos(40) = cos(45) = √(2)/2

Step-by-step explanation:

One of the trig identity (Angle Sum/Difference Identity) is:

cos(α + β) = cos(α) cos(β) – sin(α) sin(β)

We're given: cos(5)cos(40) - sin(5)cos(40)

In this case, α=5 and β=40

Plug it into you're equation

cos(α + β) = cos(α) cos(β) – sin(α) sin(β)

cos(5 + 40) = cos(5)cos(40) - sin(5)cos(40)

cos(5 + 40) = cos(45) = √(2)/2

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Dimensional analysis: How many atoms are in a kilogram of silver, if there are 6.02 x 10^23 atoms per mole and silver weighs 107
kondor19780726 [428]

Answer:

5.58×10²⁴ atoms.

Step-by-step explanation:

From the question given above, the following data were obtained:

1 mole of silver = 107.9 g

Number of atoms in 1 mole of silver = 6.02×10²³ atoms.

Number of atoms in a kilogram of silver =.?

Next, we shall convert 1 kg of silver to grams (g). This can be obtained as follow:

1 kg = 1000g

Therefore, 1 kg of silver is equivalent to 1000g.

Finally, we shall determine the number of atoms in 1 kg (i.e 1000 g) of silver as follow:

107.9 g of silver contains 6.02×10²³ atoms.

Therefore, 1000 g of silver will contain = (1000 × 6.02×10²³) / 107.9 = 5.58×10²⁴ atoms.

Thus, a kilogram of silver contains 5.58×10²⁴ atoms.

6 0
3 years ago
HELP ASAP!!!! SO STUCK ON THIS! Will give brainliest IF CORRECT! :) please help! Be sure please!
vlada-n [284]
If I can read the #'s correctly:
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4 0
3 years ago
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