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Tems11 [23]
3 years ago
14

The blank of a number says how many times to use that number ia a multiplication

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
4 0
I'm pretty sure the answer is exponent since it tells you how many times to multiply the number beside it by itself.

Example:

{3}^{4}
It is NOT 3 × 4 = 12

It is 3 × 3 × 3 × 3 = 9 × 3 × 3 = 9 × 9 = 81

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey
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If 2tanA=3tanB then prove that,<br>tan(A+B)= 5sin2B/5cos2B-1​
Fed [463]

By definition of tangent,

tan(A + B) = sin(A + B) / cos(A + B)

Using the angle sum identities for sine and cosine,

sin(x + y) = sin(x) cos(y) + cos(x) sin(y)

cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

yields

tan(A + B) = (sin(A) cos(B) + cos(A) sin(B)) / (cos(A) cos(B) - sin(A) sin(B))

Multiplying the right side by 1/(cos(A) cos(B)) uniformly gives

tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A) tan(B))

Since 2 tan(A) = 3 tan(B), it follows that

tan(A + B) = (3/2 tan(B) + tan(B)) / (1 - 3/2 tan²(B))

… = 5 tan(B) / (2 - 3 tan²(B))

Putting everything back in terms of sin and cos gives

tan(A + B) = (5 sin(B)/cos(B)) / (2 - 3 sin²(B)/cos²(B))

Multiplying uniformly by cos²(B) gives

tan(A + B) = 5 sin(B) cos(B) / (2 cos²(B) - 3 sin²(B))

Recall the double angle identities for sin and cos:

sin(2x) = 2 sin(x) cos(x)

cos(2x) = cos²(x) - sin²(x)

and multiplying uniformly by 2, we find that

tan(A + B) = 10 sin(B) cos(B) / (4 cos²(B) - 6 sin²(B))

… = 10 sin(B) cos(B) / (4 (cos²(B) - sin²(B)) - 2 sin²(B))

… = 5 sin(2B) / (4 cos(2B) - 2 sin²(B))

The Pythagorean identity,

cos²(x) + sin²(x) = 1

lets us rewrite the double angle identity for cos as

cos(2x) = 1 - 2 sin²(x)

so it follows that

tan(A + B) = 5 sin(2B) / (4 cos(2B) + 1 - 2 sin²(B) - 1)

… = 5 sin(2B) / (4 cos(2B) + cos(2B) - 1)

… = 5 sin(2B) / (4 cos(2B) - 1)

as required.

5 0
2 years ago
Oil-rich countries in the middle east cover about 4% of earth’s total land area but possess about 48% of the world’s known oil r
tiny-mole [99]
I'd say this high concentration is due to geological processes
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8 0
3 years ago
If 6 1/4 of potatoes cost 40.75 how much would one pound cost
Darya [45]

Answer 6 dollars and 52 cents

Step-by-step explanation: 6 1/4 = (6.25)

40.75/6.25 = 6.52 per unit price

6 0
3 years ago
CAN SOMEONE PLEASE HELP ME? IM NOT VERY GOOD IN MATH​
Oxana [17]

Answer:c

Step-by-step explanation:

5 0
3 years ago
What is the cost per unit called
lord [1]
A unit cost<span> is the total expenditure incurred by a company to produce, store and sell one </span>unit<span> of a particular product or service. </span>Unit costs<span> include all fixed </span>costs<span>, or overhead </span>costs<span>, and all variable </span>costs<span>, or direct material </span>costs<span> and direct labor </span>costs<span>, involved in production.</span>
4 0
2 years ago
Read 2 more answers
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