in a coordinate plane, if the y-coordinate of a point is positive, then the point is in the first quadrant.

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Prove that cos(a-b) - cos(a+b) = 2sina sinb

Answers

We know:
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) = 2sin(a)sin(b)

L = cos(a)cos(b) + sin(a)sin(b) - (cos(a)cos(b) - sin(a)sin(b))

= cos(a)cos(b) + sin(a)sin(b) - cos(a)cos(b) + sin(a)sin(b)

= 2sin(a)sin(b) = R

Mr Smith class has 45 students 23 of the students are men and the rest are women what is the fraction best represent the number of women on the class

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22/45 students are women hope i some what helped out

You earn $50,000 dollars per year and the federal tax rate is 10%. Your gross income isa. $5,000
b. $10,000
c. $45,000
d. $50,000

Answers

Answer:

d. $50,000

Step-by-step explanation:

Since, gross pay is the payment before charging any tax or deduction.

Given,

The original earning = $ 50,000,

Percentage of federal tax rate = 10%,

So, the gross income would be $ 50,000

Note : the gross income after deduction of any taxes is called total taxable income.

Hence, OPTION d is correct.

A because if you multiply 50,000 by .10 (10%) you'll get 5,000

Simplify (-3)⁴x(7)⁴​

Answers

Answer:

194481

Step-by-step explanation:

(-3)⁴ × (7)⁴

= 81 × 2401

= 194481

Nolan runs a stable that boards 4 brown horses, 9 black horses, 3 brown and white horses, and 2 black and white horses. What is the experimental probability that the next horse that comes to board is brown?

Answers

I believe that it is 22.2%. There are 18 horses and 4 of them are brown, meaning that there is a 4/18 chance that the horse that comes to the board is brown. When you divide 4 from 18 you get 22.2, which would make the probability 22.2%.

Answer:

h

Step-by-step explanation:

How many miles will a person run during a 10 kilometer race?

Answers

There are 1,61 kilometers in a mile or more correctly 1,60934 kilometers in a mile. 
But first, a short history.... Both kilometers and miles are units of measurement. They are used to measure distance. Miles are part of the imperial measurement system and kilometers are part of the metric measurement system. 
To calculate how many miles a person will run during a 10-kilometer race, you need to divide 10 kilometers by 1,61 miles (1,60934 rounded up to two digits).

Therefore your equation is as follows:

10÷1,61 or 10 000 meters ÷ 1 610 metres 
1000 meters is equal to 1 kilometer. 

The answer = 6, 21 miles. 

Therefore, a person who runs 10 kilometers will run 6,21 miles





Answer:

6.2 miles

Step-by-step explanation:

0.62 miles are in one kilometer so times 10 is 6.2