A 90° angle is divided into 2 angles.
Find the size of the angles.
3x + 40
4x - 6
Diagram not drawn accurately

Answer:

Sin O = [tex]\frac{2\sqrt{5} }{5}[/tex]

Cos O = [tex]-\frac{\sqrt{5} }{5}[/tex]

Cot O =  [tex]-\frac{1}{2}[/tex]

Csc O =  [tex]\frac{\sqrt{5} }{2}[/tex]

Sec O = [tex]-\sqrt{5}[/tex]

Step-by-step explanation:

Do you know the definitions of all the trig functions?  If not, you need to memorize them.  Also, you need to memorize which functions are positive in each quadrant.  All functions are positive in quad I, sine and reciprocal are positive in quad II, tan and reciprocal are positive in quad III, and cos and reciprocal are positive in quad IV.  OK?

Tan of  an angle is opposite side/adjacent side of a right triangle

If the tan O = - 2. let the opp. side = 2 and adjacent side = 1.  Then the hypotenuse = [tex]\sqrt{2^{2} + 1^{2} } = \sqrt{4 + 1} = \sqrt{5}[/tex]

Sine is positve and equals opp/hyp = [tex]\frac{2}{\sqrt{5} } = \frac{2\sqrt{5} }{5}[/tex]

Cos is negative and equals adj/hyp  =  [tex]-\frac{1}{\sqrt{5} } = -\frac{\sqrt{5} }{5}[/tex]

Cot is negative and is the reciprocal of the tan or adj/opp = [tex]\frac{-1}{2}[/tex]

Csc is positive and is the reciprocal of the sine or hyp/opp = [tex]\frac{\sqrt{5} }{2}[/tex]

Sec is negative and is the reciprocal of the cos or hyp/adj = [tex]-\sqrt{5}[/tex]

Answer:

1. 14 = 2 + 12

2. 16 = 4 + 12

3. 18 = 6 + 12

4. 20 = 8 + 12

Step-by-step explanation:

Super easy. All you do is replace the numbers in your table with the corresponding letter. In this case we have a table of s and f.

Example for row two: f = s + 12. Replace s with 4 ( 4 is from your s column so you would replace it with that) then solve and plug in your answer (When you solve your answer, it will go under f column).16 = 4 + 12 . f = 16, s = 4.

Formula = f = s + 12.

1. 14 = 2 + 12

2. 16 = 4 + 12

3. 18 = 6 + 12

4. 20 = 8 + 12

Answer:

x < 6

Step-by-step explanation:

18 > 12 + x

Switch sides:

12 + x < 18

Subtract 12 from both sides:

12 + x - 12 < 18 - 12

x < 6

The solution of the inequality is,

⇒ x < 6

And, Graph is shown in image.

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ 18 > 12 + x

Now, We can solve the inequality as;

⇒ 18 > 12 + x

Switch sides:

⇒ 12 + x < 18

Subtract 12 from both sides:

⇒ 12 + x - 12 < 18 - 12

⇒ x < 6

Thus, The solution of the inequality is,

⇒ x < 6

Learn more about the inequality visit:

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9514 1404 393

Answer:

  3a by 4a

Step-by-step explanation:

For dimensions L and W, the area and perimeter are ...

  A = LW = 12a^2

  P = 2(L+W) = 14a

Using the second equation, we can find L:

  L +W = 7a . . . . . divide by 2

  L = 7a -W

Substituting into the area formula gives the quadratic ...

  (7a -W)(W) = 12a^2

  W^2 -7aW +12a^2 = 0 . . . . arrange in standard form

  (W -3a)(W -4a) = 0 . . . . . . . factor (find factors of 12 that total 7)

Then we have the two solutions ...

  W = 3a, L = 4a

  W = 4a, L = 3a

The rectangle dimensions are 3a by 4a.

Answer:

what? do you want them to be added?

Answer:

guessing 8

Step-by-step explanation

27-3= 24

24/3=8

Answer:

RQ/PQ

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

its right

Step-by-step explanation:

Density=5250/4.5=1166.66 g/ml

Answer:

Step-by-step explanation:

The equation of the circle:

The center is (h, k)

Wen the center is the origin we have, h = 0, k = 0:

The only equation in same format is the first one

Answer:

y=4/3x-7

Step-by-step explanation:

Answer:

Y=4/3x-7

Step-by-step explanation:

Answer:If the diameter is 13 you should try each answer until you find pi.

To find pi you have to divide the circumference by the radius.

You don't need to find the circumference in this question but you can.

The circumference is 40.82

Then you have to divide

40.82÷13

that equals 3.14

and because that is pi, C is your answer

Step-by-step explanation:

Answer:

y > -2/3 x + 3

Step-by-step explanation:

First we find the equation of the dashed line.

y = mx + b

We see b = 3.

The slope is -2/3.

The equation of the line is

y = -2/3 x + 3

The line is dashed, not solid, and the shading is above the line, so the inequality is

y > -2/3 x + 3

Answer:

b and d

Step-by-step explanation:

i think its d i couldnt read the story so if im wrong i am terriably sorry.

Answer:

3x³ + 12x² - 7x - 28

Step-by-step explanation:

(f • g)(x) = f(x) × g(x)

= (x + 4)(3x² - 7)

Each term in the second factor is multiplied by each term in the first factor, that is

x(3x² - 7) + 4(3x² - 7 ) ← distribute both parenthesis

= 3x³ - 7x + 12x² - 28

= 3x³ + 12x² - 7x - 28

Answer:

Required amount of aluminium foil = 522.80 [tex]in^{2}[/tex]

Step-by-step explanation:

The shape of the large Hershey kisses can be compared to that of a cone. So that;

the surface area of the kisses = [tex]\pi[/tex][tex]r^{2}[/tex] + [tex]\pi[/tex]rl

Let the slant height be represented by l. Applying the Pythagoras theorem;

[tex]l^{2}[/tex] = [tex]10^{2}[/tex] + [tex]8^{2}[/tex]

   = 100 + 64

   = 164

l = [tex]\sqrt{164}[/tex]

l = 12.81 in

Thus,

surface area of the kisses = (3.14 x [tex]8^{2}[/tex]) + (3.14 x 8 x 12.81)

                     = 200.96 + 321.7872

                     = 522.7472

surface area of the kisses = 522.75 [tex]in^{2}[/tex]

Thus, the amount of aluminium foil required to wrap the kisses is 522.80 [tex]in^{2}[/tex].

The answer is A) 3/100.

Answer:

9 units

Step-by-step explanation:

The dotted line, which is the height, is labeled as 9, so it is 9 units.

Hope that helps!

Answer: 9 units

Step-by-step explanation: If you look at the question on the photo you see a dotted line with a 9 on it. On a triangle when you something like that you know it the actual height of the triangle

Answer:

...

Step-by-step explanation:

14, 18, 20

Answer:

14

16 (which is given)

18

20

Step-by-step explanation:

Answer:

Convert 300 L in 15 seconds to L/min a. ... 10) How many kilograms of water are in a standpipe containing 5678 L? a. ... tank volume if a pump is discharging a constant 60 litres per minute into the tank

Answer:

they both use y^2-y^1 and x^2 - x^1, one is to find the slope the other is to find the y intercept

Step-by-step explanation:

Slope-intercept is when you have a graph and a equation such as y=mx+b

y = y coordinate

m = slope

x = x coordinate

b = y intercept

point-Slope is when you have this equation and you use (x1, y1) as the coordinates to graph.

y - y1 = m * (x - x1)

Answer:

- 2, - 1, 0, 1

Step-by-step explanation:

Consider the integers that satisfy each inequality

- 3 < x < 2

solutions are x = - 2, - 1, 0, 1

- 2 ≤ x ≤ 2

solutions are x = - 2, - 1, 0, 1, 2

Thus the integer values that satisfy both are common to both, that is

x = - 2, - 1, 0, 1

Answer:

X is 24.

Step-by-step explanation:

Divide the surface area by 4

x=10

First you

do 4*4 then u put a random number an start from 1 so with ten it would

be 4*10/2*4=96

Answer:

A. 4:3:5

Step-by-step explanation:

Al ate 1/3, which is 4/12. Barb ate 1/4, which is 3/12. That leaves 5/12 for Calvin to eat.

Answer: 1

Step-by-step explanation: you plug in -1 as x for g(x) and you use the answer from that (which is 6) and plug that into f(x)

The value of composite function (fog)(-1) = 10/3.

A function whose values are obtained from two given functions by first applying one to an independent variable and then using the result to apply the second, and whose domain is made up of those independent variable values for which the first function's result falls within the second function's domain.

The two functions are given below:

f(x) = 8/x+2

g(x) = 4x² + 2

To evaluate the composite value  (fog)(-1), first solve for g(-1).

Put x = -1 in 'g' function

g(x) = 4x² + 2

g(x) = 4(-1)² + 2

      = 4 + 2

g(x)  = 6

Now, substitute the value of g(6) in 'f' function

f(x) = 8/x+2

f(6) = 8/6 + 2

     = 10/6

Therefore, the composite value (fog)(-1) = 10/3.

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Answer:

Step-by-step explanation:

the simpliest form is [tex]1\frac{2}{5}[/tex]

It already is a fraction. If you need it simplified, it would be 1 2/5.

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hope it helps

Answer:

1) 20: 25

2) 15: 3

Step-by-step explanation: