What are the solutions of the equation sec(x)cot(x)= -2 on the interval [0,2pi]? Choose all correct answers.

Answer:

158 degrees

Step-by-step explanation:

Step 1:

Let Angle CDE =y

Since Angle BCD = 2 X angle CDE

Angle BCD = 2y

Step 2

Consider Figure 2 attached, each of the figure forms an isosceles trapezoid ABCF and DEFC.

By these properties of Isosceles Trapezoids

Therefore:

[tex]\angle ABC+\angle BCF=180^\circ\\\angle FCD+\angle CDE=180^\circ\\Therefore:\\\angle ABC+\angle BCF+\angle FCD+\angle CDE=360^\circ\\$But \angle BCF+\angle FCD=\angle BCD\\So:\\\angle ABC+\angle BCD+\angle CDE=360^\circ[/tex]

123+2y+y=360

3y=360-123

3y=237

y=79 degrees

Therefore:

[tex]\angle BCD=2 X 79^\circ=158^\circ\\\angle BCD=\angle AFE=158^\circ\\\angle AFE=158^\circ[/tex]

Answer:

18 golf balls in all, 1/18 is the answer

Step-by-step explanation:

Answer:

1. 18

2. {blue, magenta, purple}

3. P(blue) = 1/2

P(magenta) = 7/18

P(purple) = 1/9

Step-by-step explanation:

Total balls:

9 + 7 + 2 = 18

Sample space: all possible outcomes

{blue, magenta, purple}

P(blue) = 9/18 = 1/2

P(magenta) = 7/18

P(purple) = 2/18 = 1/9

Answer:

Circle 1 = 24 pi in² = 452.2 in²

Circle 2 = 706.5 in²

Circle 3 = 271.6 in²

Step-by-step explanation:

In order to find the Diameter of a circle, you have to multiply the radius by 2. According to circle 1, 12in (radius) multiplied by 2 gets you 24 pi in².

In order to find the area, you multiply the radius² and then multiply it by pi or 3.14.

Is green the circumference or the diameter??? Had a little bit of confusion in that part, but I gave you the area only for Circle 2 and 3. For circle 1 I found the diameter (24 pi in²) and the area.

Answer:

From the CENTER, it would be radius of the circle

Step-by-step explanation:

Stretching across the entire circle is diameter, while from the center is radius.

Answer:

192cm²

Step-by-step explanation:

If you cut the shape into 2 and you do 8×8 which is 64cm²

Then you work out the area of the other part of the shape which is 8×16=128cm² then add them two together which is 192cm²

Answer:

here's the answer and proof in the image below

Step-by-step explanation:

Answer: No

Step-by-step explanation:

Substitute (2,12) into the second equation.

4(2) - (12) = 0

8 - 12 = 0

-4 = 0

This statement is false.

Answer:

-♾ < y < 5

Step-by-step explanation:

Range is set of all possible values for Y.

To know the range of value from graph one needs to see points on  axis beyond which the curve does not move.

Alternatively, we can say range is  the  value of y which is limiting the movement of curve beyond those limits.

Here we can see that upper point on curve is constrained at midpoint of  4 and 6 which is point 5.

Thus, upper limit is 5

which can be written as

y<5

___________________________________

For lower limit , it

Since , the at lower end curve is extended till the end of graph and the end of graph represents infinity. Also, this infinity is on the negative side of y .

Then lower end is -♾ .

which can be written as

y> -♾

Also we can see that graph is continuous one as there is no break in the curve between 5 and -♾.

Thus range of curve is from minus infinity to 5

which can be expressed as

-♾ < y < 5

Answer:

w = 18

Step-by-step explanation:

Step  1  :

Solving a Single Variable Equation

Solve  :    w-18 = 0  

Add  18  to both sides of the equation :  

                     w = 18

Hope this helps.

Answer:

w - 3 = 15

w - 3 + 3 = 15 + 3

w = 18

Step-by-step explanation:

1. add three to both sides

Answer:

Radius= 7cm

Diameter= 14cm

Step-by-step explanation:

Hope it Helped!!

Answer:

71.25%.

Step-by-step explanation:

To find the average, we can simply add up the percentages and divide by how many there are.

We can do this by:

[tex]\frac{81 + 90 + 80 + 34}{4}[/tex] = 71.25%

Answer:

Area≈153.94in²

Answer:

The measure of a circumscribed angle is equal to 180° minus the measure of the central angle that intercepts the same arc. If two chords intersect in the interior of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.

Step-by-step explanation:

Answer :

A. 368 ft²

Step by step

[tex]d - b = 19 - 15 = 4 \\ (b \times c) + (a \times 4) \\ = (15 \times 16) + (32 \times 4) \\ = 240 + 128 \\ = 368[/tex]

Answer:

386 ft :)

Step-by-step explanation:

Answer: Sandy.

Step-by-step explanation:

Elaine has 16 tablespoons of lemonade, and uses 2 per glass.

then she can make 16/2 = 8 glasses of lemonade.

Sandy has 18 tablespoons of lemonade, and she uses 3 per glass,

then she can make 18/3 = 6 glasses of lemonade.

Then Sandy can make less glasses of lemonade than Elaine, this means that Sandy runs out of mixt first.

Answer:

x=14

Step-by-step explanation:

subtract 10 on both sides

24-10=14

x=14

Answer:

x = 14

Step-by-step explanation:

10 + x = 24

-10

x=14

( You subtract 10 from both sides. 24-10 =14. Therefore x =14

Answer:

Hey!

Your answer is Y=-5x-6

Step-by-step explanation:

Using the formula y=mx+c...

m=slope c=y-intercept

The coordinate s(the c) it's given you are the coordinates for the y-intercept so we only write the y-value down (the -6)

The m is the slope do we write the slope value (-5)

Which forms y=-5x-6

HOPE THIS HELPS!!

Answer:

x= iz ( 15z²-1) ^1/2 ÷ 2y³ -69 ^1/2

hope this helped

Answer:

combine like terms

Step-by-step explanation:

u wont geta  proper answer but u will get a equation that i smaller

Question

Which algebraic expression has like terms?

[tex]9n^3 - 2n + 3 - 4n^2[/tex]

[tex]7n^3 + 3n - 3 - 6n^2[/tex]

[tex]7n^3 + 4n - 3n^3 - 5n^2[/tex]

[tex]6n^3 - 4n^4 + 6n - 5n^2[/tex]

Answer:

A. [tex]9n^3 - 2n + 3 - 4n^2[/tex]

B. [tex]7n^3 + 3n - 3 - 6n^2[/tex]

Step-by-step explanation:

Given:

The above expressions

Required:

Expressions with like terms

Algebraic expressions are said to have like terms if and only if the have the equivalent exponents;

Like terms are dependent on the exponents and are independent on the sign of each terms.

Listing out the exponents of each options;

A. [tex]9n^3 - 2n + 3 - 4n^2[/tex]

The exponents of n are 3 1 0 2

Rearrange: 0 1 2 3

B. [tex]7n^3 + 3n - 3 - 6n^2[/tex]

The exponents of n are 3 1 0 2

Rearrange: 0 1 2 3

C. [tex]7n^3 + 4n - 3n^3 - 5n^2[/tex]

The exponents of n are 3 1 3 2

Rearrange: 1 2 3 3

D. [tex]6n^3 - 4n^4 + 6n - 5n^2[/tex]

The exponents of n are 3 4 1 2

Rearrange: 1 2 3 4

From the list of exponents above, only A and B are equal;

Hence, the following expressions have the like terms

A. [tex]9n^3 - 2n + 3 - 4n^2[/tex] and B. [tex]7n^3 + 3n - 3 - 6n^2[/tex]

Answer:

the answer is  7.75 g/cm3

Step-by-step explanation:

hope this helps

The density of the given block of stainless steel is 7.75 g/cubic cm. The value is obtained by the ratio of its mass to its volume.

The cuboid has rectangular faces with length(l), width(w), and height(h). So, the density of the material which is required to make the cuboid is calculated as follows:

Density = mass/volume

Where the volume of the cuboid is the product of length, width, and height.

I.e., Density = mass/ (l × w × h)

The given block has

length(l) = 8cm

width(w) = 5cm

height(h) = 3cm

The mass of the block is given as 930g

So, the density of the stainless steel is

Density = 930g/(8 × 5 × 3) cm³

            = 930/120 (g/cm³)

            = 7.75 g/cm³

Therefore, the density of the block is 7.75 g/cubic cm.

Learn more about the density here:

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Answer:

16

Step-by-step explanation:

The run is the amount in the x direction

-8 to 8 = 16 units

(8- - 8) = 8+8 = 16

The run is 16

I suppose as many as we care to, but they're all congruent. We're given two angles and an included side.   ASA, angle side angle, is a theorem that yields congruent triangles.

Answer: 1

Answer: you can draw as many as you want, but they will all be congruent. So actually only one. It's the ASA theorem to prove congruence.

Step-by-step explanation:

Answer:

2049.2

Step-by-step explanation:

512.3÷ 0.25​= 2049.2

You can use a calculator... (or long division.)

Answer:

2,049.2

Step-by-step explanation:

Hope this helped!

o(*^▽^*)┛

Answer:

meee tooo

Step-by-step explanation:

helpplppppppp

Answer: 8) All points with an x-coordinate of 0 means that the slope of the graph is 0 and all the points will always lie on the y-axis.

  9) All points with a y-coordinate of 0 will always lie on the x axis.

Step-by-step explanation:

Answer:

h<0

Step-by-step explanation:

75+125h ≤ 750

h≤ 8.333

for negative values of h the inequality will not hold true

Complete question:

Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A double prime B double prime?

A) segment a double prime b double prime = segment ab over 2

B) segment ab = segment a double prime b double prime over 2

C) segment ab over segment a double prime b double prime = one half

D) segment a double prime b double prime over segment ab = 2

Answer:

A) segment a double prime b double prime = segment ab over 2.

It can be rewritten as:

[tex] A"B" = \frac{AB}{2} [/tex]

Step-by-step explanation:

Here, we are given triangle A″B″C which was formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin.

We know segment A"B" equals segment AB multiplied by the scale factor.

A"B" = AB * s.f.

Since we are given a scale factor of ½

Therefore,

[tex] A"B" = AB * \frac{1}{2} [/tex]

[tex] A"B" = \frac{AB}{2} [/tex]

The equation that explains the relationship between segment AB and segment A"B" is

[tex] A"B" = \frac{AB}{2} [/tex]

Option A is correct

Answer:

$51.94

Step-by-step explanation:

Answer: 0.22 plates

Step-by-step explanation:

Given that The recipe calls for 23 cup of cheese for each plate of nachos

1 plate = 23 cups

X plate = 5 cups

Cross multiply

5 = 23x

Make the x the subject of formula

X = 5/23

X = 0.22

Or 5/23 plate

Answer: 54%

Step-by-step explanation:

In probability and logic theory, two events are said to be mutually exclusive or disjoint when both events cannot occur or happen at the same time.

A clear example of mutually exclusive event is the set of outcomes of a single toss of a coin which can either result in heads or tails, but can not be both.

P(S) = 30%, and P(T) = 24%

P(S or T) = P(S) or P(T) = 30% + 24%

= 54%

Answer:D

between 3 and 4

I got it right in khan!

Step-by-step explanation:

The required number of boxes that the Taylor family eats in a week is 3 3/4 boxes.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Fraction is defined as the number of compositions that constitutes the Whole.

Here,
As of the given conditions,
1 person can eat 3/4 of box in one week
There are 5 persons in the family,
Total box of cereal that can be eaten = 5(3/4)
= 15/4
= 3 3/4

Thus, the required number of boxes that the Taylor family eats in a week is 3 3/4 boxes.

Learn more about simplification here:

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Answer:

y= 2x - 3

Step-by-step explanation:

slope intercept form:  y= mx + b

Answer:

y= 2x-3

Step-by-step explanation:

2x-y+5=8

-y= 8-2x-5

-y=-2x+3

-1(-y=-2x+3)

= y= 2x-3