MATHEMATICS HIGH SCHOOL

Find the coordinates of a point on a circle with radius 5 corresponding to an angle of 25°. (x, y) = Round your answers to three decimal places.

Answers

Answer 1
Answer:

Step-by-step explanation:

that means it is the top vertex of the inscribed trigonometric triangle.

we assume the center of the circle is at the origin (0, 0).

so, the x-coordinate is then

cos(25°)×5 = 4.531538935... ≈ 4.532

the y-coordinate is then

sin(25°)×5 = 2.113091309... ≈ 2.113

remember, the basic trigonometric functions deliver these lengths inside the norm circle (radius = 1). for any other circle we need to multiply them by the actual radius.

the point on the circle at 25° is at

(4.532, 2.113)

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In a class, there are io boys and 15 girls. three students are selected at random. The probability that the selected students are 1 boy and 2 girls, is options: a. 25/36 b. 18/23 c. 21/46 d. 1/32

Can anyone please help ????? And if you do thank you

Answers

Answer:

a/b

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hypotenuse

sin C = a/b

Answer:

F

Step-by-step explanation:

On paper, Soh Cah Toa can help you remember how to do this stuff

A toddler crawled 3 yards, stopped, then continued to crawl 11 more feet. How many feet did he travel in total?

Answers

So how many Feet right? A yard has 3 feet in it so 3*3=9, nine feet there. So 9+11= 20. The toddler traveled 20 feet total.
add them up
wait, convert yards to feet
3 feet in 1 yard
times 3
9 feet in  3 yard

9 feet first, then 11 feet
add
9+11=20 feet

The functions f(x) and g(x) are shown below:f(x) = 0.05x
g(x) = (0.05)x

Which statement best describes the graph of f(x) and g(x)?

Answers

where is the graph or can u explain it a little more so i can help u

Solve for x₁ and x₂
6x₁+3x₂=60
6x₁-2x₂=80

Answers

\left \{ {\big{6x_1+3x_2=60\ \ \ \ \ \ \ \ \ \ \ } \atop \big{6x_1-2x_2=80\ /\cdot(-1)}} \right. \n\n \left \{ {\big{6x_1+3x_2=60\ \ \ \ } \atop \big{-6x_1+2x_2=-80}} \right. \n-----------\n3x_2+2x_2=60-80\n5x_2=-20\ /:5\n\nx_2=-4\n\n6x_1+3x_2=60\ /:3\n2x_1+x_2=20\ \ \ \Rightarrow\ \ \ 2x_1+(-4)=20\ \ \ \Rightarrow\ \ \ 2x_1=24\ /:2\n\nx_1=12\n\n \left \{ {\big{x+1=12} \atop\big {x_2=-4}} \right.
first let's change the "x1" to "A" Nd the "x2" to "B" __ so now the problem reads "6A + 3B = 60" And "6A - 2B= 80" we want to isolate variable. and the easiest one is the "B" by getting rid of the "A". set up a subtraction problem where you take one equation away from the other. 6a-6a=0. 3b - (-2b) = 5b and 60-80=-20. so your new equation reads 5B= -20. you wanna get B on one side so yu divide 5 on both sides giving you b= -4 or "x2"=-4. from there you can plug -4 into any one of the original equations. ex: 6A -2(-4)=80 then 6A + 8=80 then you subtract 8 from both sides because you're trying to isolate the "A" variable. which leaves you with 6A = 72. and now you wanna get"A" on one side so yu divide 6 from both sides and get A=12 or "x1"=12. do a quick check and plug in these numbers into any one of the equation.

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Answers

For the full it's 890p but for the 9 it's 90p

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Answers

find cost of shoes first (7.50)
subtract from the total value (55.20-7.50= 47.7)
then divide by 5.30 (47.7/ 5.3= 9)
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