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Oksi-84 [34.3K]
3 years ago
10

Write the product cos(2x)sin(5x) as a sum

Mathematics
1 answer:
ratelena [41]3 years ago
8 0
Come on now, check your book on the "product to sum" identities

\bf cos({{ \alpha}})sin({{ \beta}})=\cfrac{1}{2}[sin({{ \alpha}}+{{ \beta}})\quad -\quad sin({{ \alpha}}-{{ \beta}})]
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The mass of 4.5 cm3 of iron and 8 cm3 of copper is equal to 101.5g. The mass of 3 cm3 of iron is 6.8g greater than the mass of 2
tangare [24]
Let m be the density of iron
Let M be the density of copper
So, m = M = 101.5 grams

We know that the formula for mass is:
m = d x v
where:
m is mass
d is density
v is volume

the density of iron is calculated by d = m / v, we derived this formula from the mass formula.
So d = 6.8g/ 3.3cm^3 = 2.26 g/cm^3

It was said that the density of iron is more than the density of copper, so 6.8 should be greater than 2xd, it indicates that d is less than 3.4.

Therefore, the density of copper is more likely less than 3.4g/cm^3
5 0
3 years ago
For each of the following sequences, determine whether it converges in probability to a constant. If it does, enter the value of
nikklg [1K]

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached images below for the step by step explanation to the question above.

6 0
3 years ago
-6-5(4+3n)=-7(n+2)-6n
Romashka-Z-Leto [24]

Answer:

n=-6

Step-by-step explanation:

4 0
3 years ago
Brandon is playing hide-and-seek with Katy and Tony. Katy is hiding 63 feet south of Brandon, and Tony is hiding due east of Kat
sergij07 [2.7K]

Answer:

60 feets

Step-by-step explanation:

Given that :

Using Pythagoras rule :

Hypotenus = sqrt(Adjacent^2 + opposite^2)

From the attached picture :

x² = 87^2 - 63^2

x^2 = 7569 - 3969

X^2 = 3600

Take the square root of both sides :

X = sqrt(3600)

X = 60 feets

Hence, Katy and Tony are 60 feets apart

6 0
3 years ago
Which point is located at (-3,6) <br><br> A) A<br><br> B) B<br><br> C) C<br><br> D) D
Andrej [43]

Answer is A

Step-by-step explanation:

Go over to the left 3 times then up 6

3 0
2 years ago
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