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ira [324]
3 years ago
15

Which expression is equivalent to sin(1.8x) sin(0.5x)?

Mathematics
1 answer:
Rasek [7]3 years ago
3 0
Hum, this problem was difficult. You use the next expression to solve this problem. \[\cos (A - B) = \cos A \cos B + \sin A \sin B \] \[\cos (A + B) = \cos A \cos B - \sin A \sin B\] \[\cos (A - B ) - \cos (A +B ) =2 \sin A \sin B\] So \[\sin A \sin B = 0.5 \left( \cos(A - B) - \cos(A + B) \right)\] A = 1.8 x, B = 0.5 x \[\sin (1.8x) \sin (0.5x) = 0.5\left( \cos(1.8-0.5)x - \cos(1.8+0.5)x \right)\]\[= 0.5 \left( \cos(1.3x) - \cos (2.3x) \right)\] It's finish !!
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Does anybody know the answer??
Marizza181 [45]

Answer:

Step-by-step explanation:

It A because they are both parallel.

3 0
3 years ago
A restaurant has 5 pizza toppings to choose from. How many different 2-topping pizzas are possible?
horsena [70]
10


Because if you do 5•2 you get 10

More in depth explanation:

Though there are 25 possible configurations the question asks for two different toppings together. It also asks for unique combinations. So AB and BA are the same combination in this context. The only unique possibilities are

AB
AC
AD
AE
BC
BD
BE
CD
CE
DE

It is easy to simplify this into 5•2 for this situation. And if the question asked for three toppings you would do 5•3.

However if the question asked for the configurations for two toppings then you would do 5•5 and if it asked for the configurations of 3 toppings you would do 5•5•5
5 0
3 years ago
Alice went on a class trip to the museum and sketched a scale drawing of a famous painting. The original piece of artwork had a
Burka [1]
Divide 108 and 72 by twelve and you get 9 and 6 which all you have to do it multiply together
3 0
3 years ago
The triangles shown above are similar. State the pairs of corresponding angles the images are not drawn to scale
melamori03 [73]
We know that
∠X≈∠B
∠Y≈∠C
∠Z≈∠A

XZ≈BA
XZ=12
BA=9

XY≈BC
XY=14
BC=10.5

ZY≈AC
ZY=16
AC=12

the scale factor=12/16-----> 0.75

therefore

the answer is the option D
7 0
3 years ago
The measures of the angles of a triangle are in the extended ratio 2:2:8. What is the measure of the smallest angle?
zepelin [54]
We know that the ratio is;

2:2:8

The angles in a triangle add up to give 180°

We can think of there being twelve "parts" that add up to 180°

2x + 2x + 8x = 180  \\  \\ 12x = 180  \\  \\ x =  \frac{180}{12}  \\  \\ x = 15

So our ratio is;

2*15 : 2*15 : 8*15  \\  \\ = 30 : 30 :120

So the smallest angle is 30°
7 0
3 years ago
Read 2 more answers
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