there are 18 boys and 46 girls in a class. 87.5% of the students in the class take the bus to school. How many students do nnot take the bus to school?

Using the Trigonometry ratios, the missing sides and angles are:

1. sin R = 5/13

2. sin T = 12/13

3. cos R = 12/13

4. cos T = 5/13

5. tan R = 5/12

6. tan T = 12/5

7. x = 16.5

8. x = 58.9

9. x = 9.2

10. x = 35.9

11. x = 40.7°

12. x = 77.8°

The Trigonometry ratios that can be used to solve any right triangle are given as: SOH CAH TOA.

SOH is: sin ∅ = opp/hyp

CAH is: cos ∅ = adj/hyp

TOA is: tan ∅ = opp/adj.

1. sin R = opp/hyp = 15/39

sin R = 5/13

2. sin T = 36/39

sin T = 12/13

3. cos R = adj/hyp = 36/39

cos R = 12/13

4. cos T = 15/39

cos T = 5/13

5. tan R = opp/adj = 15/36

tan R = 5/12

6. tan T = 36/15

tan T = 12/5

7. Apply CAH:

cos 38 = x/21

x = (cos 38)(21)

x = 16.5

8. Apply TOA:

tan 23 = 25/x

x = 25/tan 23

x = 58.9

9. Apply TOA:

tan 57 = x/6

x = (tan 57)(6)

x = 9.2

10. Apply SOH:

sin 32 = 19/x

x = 19/sin 32

x = 35.9

11. Apply SOH:

sin x = 15/23

x = sin^-1(15/23)

x = 40.7°

12. Apply TOA:

tan x = 37/8

x = tan^-1(37/8)

x = 77.8°

Learn more about Trigonometry ratios on:

https://brainly.com/question/10417664

Ceva's Theorem states that given any triangle △ABC, the segments from A, B, and C to the opposite sides of the triangle are concurrent precisely when the product of the ratios of the pairs of segments formed on each side of the triangle is equal to 1.

Answer:

0.75

Step-by-step explanation:

9/12 = 0.75

Answer:

boooooooooomnhbhikbn

Step-by-step explanation:

Answer:

Yards Squared

Step-by-step explanation:

Because multiplication it ends up as squared yards!

Answer:A

Step-by-step explanation:

Answer:

1/2 !

Step-by-step explanation:

Since it's going up, we know its positive, but if you use RISE/RUN, you would go up 1, then over two, from any point. That makes it 1/2! I went up from the y axis to the next point on the line. I hope that makes sense, but the answer is 1/2!

Have a nice day :D

Answer:

Width of the park = 24 / 35 mile

Step-by-step explanation:

Given:

Length of the park = 7/8 mile

Area of rectangular park = 3/5 square mile

Find:

Width of the park

Computation:

Area of rectangular park = Length of the park x Width of the park

3/5 = 7/8 x Width of the park

Width of the park = 24 / 35 mile

Answer:

Option A

Step-by-step explanation:

We know that for an eqn. [tex]ax^{2} +bx+c=0[/tex] , the quadratic formula is =

[tex]x = \frac{-b+\sqrt{b^{2}-4ac } }{2a} or \frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]

So using quadratic eqn. for [tex]x^{2} -6x-5=0[/tex]

[tex]x =\frac{-(-6)+\sqrt{(-6)^{2}-4*1*(-5) } }{2*1}or\frac{-(-6)-\sqrt{(-6)^{2}-4*1*(-5) } }{2*1}[/tex]

[tex]=> x = \frac{6+\sqrt{36+20} }{2} or\frac{6-\sqrt{36+20} }{2}[/tex]

[tex]=>x = \frac{6+\sqrt{56} }{2} or\frac{6-\sqrt{56} }{2}[/tex]

Answer:

See below

Step-by-step explanation:

Mr. Ahmet needs:

more to have enough money to buy those two houses.

Monthly, he gets interest paid:

Time to have required amount is:

Without taking the deposit he would need time:

He could wait and use the interest to buy houses provided they will still be available and price remains same.

Answer:

w=-30

Step-by-step explanation:

81(88w+82)=-207198

7128w+6642=-207198

7128w=-213840

w=-30

Answer:

-5 - 2.3v

Step-by-step explanation:

You want to combine like terms and since two of the numbers have variables, then you can add them both together

4.2v - 6.5 v = -2.3 v

So... -5 - 2.3v or

-2.3v - 5

either or there both same

Hope this helped!

Answer:

$60

Step-by-step explanation:

so to find the discounted price you take the original price and multiply it by the discounted percentage, so to find the original price you take $36 and divide it by 60% and you get $60 as the undiscounted price of the tickets

Step-by-step explanation:

-2|5x + 3| >= 4

|5x + 3| <= -2

Since absolute value is never negative, there are no real values for x.

Answer:

$30

Step-by-step explanation:

he will pay $30.00 for 9 packs.

Answer:

i forgot to but i think you solve it by adding the values

Step-by-step explanation:

Answer:

$13.70

Step-by-step explanation:

y=2.80x+2.50

=2.8*4+2.5

=13.7

Answer: $13.70

Step-by-step explanation: The first thing you would do is mulitply 2.80 time four. Then you would add 2.50 to the product to get 13.7.

Answer:

b)  13:15

c) 4:05 or 16:05 ( u havent given pm or am)

hope it helped u,

pls mark as the brainliest

^_^

Answer:

b. 13:15

c. 04:05

Step-by-step explanation:

in a 24hr clock 12 hrs will be added if it is in the afternoon

since the first one is in pm 12+1 =13:15

the second doesnt have pm so it will remain

Answer:

d. -2x²+3x-7

Step-by-step explanation:

Standard form is: Ax²+Bx+C

9514 1404 393

Answer:

  vertex: (-3, 3)

  focus: (-3, 2)

  directrix: y = 4 (the line)

  point on the parabola: (1, -1)

Step-by-step explanation:

The vertex is the extreme point of the parabola. For a parabola opening downward, it is the maximum. Here, that point is labeled (-3, 3).

The focus is a point inside the parabola on the line of symmetry that, together with the directrix, helps define the parabola. Every point on the parabola is the same distance from the focus as it is from the directrix. Here, the point (-3, 2) is the focus.

The directrix is a line outside the parabola that is the same distance from the vertex that the focus is inside. Here, that line is y = 4.

The point on the parabola (1, -1) appears to have no particular significance. It happens to be 5 units distance from both the focus and the directrix.

_____

Additional comment

When you draw a horizontal line through the focus, it intersects the parabola at a point the same distance from the focus as from the directrix. (All points on the parabola have that characteristic. This point just happens to have the same y-coordinate as the focus.) The point you found this way is also on a line through the vertex that has a slope of 1/2 or -1/2.

If you don't know where the focus is for a given parabola, you can always find it using this relationship.

Hey there!

This diagram shows two parallel lines (they will never intersect). This lines are crossed by another line called a transversal. This simple diagram can help us understand the nature of angles in our world.

The most important number to think about when it comes to this diagram is 180. A full circle is 360 degrees, and half of that is 180. Let's say that you are opening a shoe box. With the lid closed, there is no angle. If you open the lid straight up so that there is an L-shape, you have made a right angle, which is 90 degrees. If you open it so that it makes a line, you are now at 180 degrees. If you were to open the lid in a full circle, that would be 360 degrees, but the lid would probably break off!

We see that a straight line is a 180 degree angle. This means that 3y and the angle on the other side of the transversal right next to it (we'll call this angle A) should add up to equal 180 degrees. Angles that add up to equal 180 degrees are called supplementary angles. Looking again, we see that angle A and the 87 degree angle make up a straight line, so they are also supplementary. If 3y is supplementary with angle A and angle A is supplementary with 87, then 3y must be equal to 87. 3y and 87 are known as vertical angles because they are vertical of each other and meet at a point. Vertical angles are always congruent, so 3y is 87. We can just divide 87 by 3 to figure out what y is: 29.

There are also corresponding angles. These are angles that are the exact same but are in different places. For example, angle 87 is going to be the same thing as the supplementary angle to the bottom left of 3x because they are both to the left of the transversal and below the parallel line. Therefore, 3x is supplementary with 87. If you subtract 87 from 180, then you get 93. We divide by 3 to get x, giving us 31.

So, x=31 and y=29.

I hope that this helps! Have a wonderful day! :D

Answer:

4

Step-by-step explanation:

===================================

Work Shown:

First evaluate f(2)

[tex]f(x) = 4x^3-10\\\\f(2) = 4(2)^3-10\\\\f(2) = 4(8)-10\\\\f(2) = 32-10\\\\f(2) = 22\\\\[/tex]

This means g(f(2)) = g(22). We replace f(2) with 22.

Now evaluate g(22)

[tex]g(x) = \frac{3x-4}{2}\\\\g(22) = \frac{3*22-4}{2}\\\\g(22) = \frac{66-4}{2}\\\\g(22) = \frac{62}{2}\\\\g(22) = 31\\\\[/tex]

Therefore, g(f(2)) = 31.

Answer:

D

Step-by-step explanation:

Let's start with f(2)

Substitute 2 as x in f(x)

4(2)^3-10

32-10

22

now take g(22) (f(x) is equal to 22) and substitute x as 22

(3(22)-4)/2

(66-4)/2

62/2

31

Answer is D

Hope this helps!

Answer:

1/10 or 10%.

Step-by-step explanation:

If the generator includes the numbers 1 and 10 then there are a total number of 10 possible number outcomes that the number generator can generate. Out of all of these outcomes, only one of those would be generating a 7. Therefore, the probability of the generator generating a 7 would be 1/10 or 10%. This is assuming that it only generates 1 number.

Answer:

Don't know sorry

Step-by-step explanation:

Thanks for the points

Answer:

not sure

Step-by-step explanation:

Answer:

90%

Step-by-step explanation:

change percent to decimal = .90

600,000 x .90 = 540,000

600,000 - 540,000 = 60,000