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Lynna [10]
3 years ago
12

Sin 70°cos 10°-cos 70°sin 10=√3/2

Mathematics
1 answer:
hoa [83]3 years ago
8 0
Let a =70° and b= 10° (and a-b=70-10 =60)
We have the following trigonometric identity:

sin(a-b) = sin(a).cos(b)-sin(b).cos(a) OR:
sin(70-10) = sin70.cos10 - sin10.cos70
But sin(70-10) = sin(60) and we know that sin(60°) =(√3)/2
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If there are 6 hours in a school day, 5 school days in a week, 4 school weeks in a month and 9 months in a school year, how many
MA_775_DIABLO [31]
1080, because 6x5= 30 30x4= 120 120x9= 1080 
8 0
3 years ago
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Use the information frompart a to write an equation representing the number of colories burned each minute while bowling. Let m
Fofino [41]

Answer:

To find the number of calories burned:

Find the Metabolic Equivalent of Task (MET) value of the task.

Calculate the number of calories burned per minute. (MET x body weight in kg x 3.5) / 200.

Multiply the calories burned per minute by the number of minutes of activity.

Now, as per the question, weight is 125 pounds (lb), we will convert the weight in kilogram (kg) which is 1 lb = 0.453 kg, it means 125 lb = 56.7

Now we have to find the MET,

A metabolic equivalent (MET) value is a measurement of the energy cost of a specific physical activity for a specific period of time.

For example. A MET of 1 would be roughly equivalent to a person's energy expenditure from sitting still in a room temperature and not actively digesting food.

As per the Calorie guide value of MET for bowling is 3.9

Now the overall formula is

Calorie Burn (x) = ((MET * body weight in kg * 3.5) / 200) * (Number of minutes) m

x = ((3.9*56.7*3.5)/200) * m

Finally, x = 3.87 m represents the number of calorie burned (x) while bowling m minutes.

8 0
2 years ago
If pqr = 1 , rst = 0 , and spr = 0, which of the following must be zero?
ahrayia [7]
P,Q,R can't be 0, because their product is nonzero. Either of S and T could be 0, but the third one only works if S is 0.
8 0
2 years ago
What is the correct answer to a+ny=n, solving for n?
AysviL [449]
A+ny = n
a = n-ny
a = (1-y)n
a/(1-y) = n
n = a/(1-y)
6 0
3 years ago
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Monique borrows $5000 at 5.5% interest compounded daily for 29 days. How much will she owe at the end of 29 days?
slega [8]

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount borrowed

From the information given,

P = 5000

r = 9

5.5% = 5.5/100 = 0.055

Assuming they are 365 days in a year

n = 365 because it was compounded 52 times in a year.

t = 29/365 = 0.0794

Therefore,

A = 5000(1 + 0.055/365)^365 × 0.0794

A = 5000(1 + 0.00015)^29

A = 5000(1.00015)^29

A = $5022

7 0
3 years ago
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