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Find the distante between B and C

Answer:

Verified below

Step-by-step explanation:

We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)

In trigonometric identities;

Cot θ = cos θ/sin θ

Thus;

(cot θ - 1)/(cot θ + 1) gives;

((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)

Simplifying numerator and denominator gives;

((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)

This reduces to;

>> (cos θ - sin θ)/(cos θ + sin θ)

Multiply top and bottom by ((cos θ + sin θ) to get;

>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)

In trigonometric identities, we know that;

cos 2θ = (cos² θ - sin²θ)

cos²θ + sin²θ = 1

sin 2θ = 2sinθcosθ

Thus;

(cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ) gives us:

>> cos 2θ/(1 + sin 2θ)

This is equal to the left hand side.

Thus, it is verified.

Answer:

1 and 4

or say it as

More seventh graders prefer art class to music class as an elective

There is no association between a student's grade level and the electives they prefer

Step-by-step explanation:

Several ways in which television can disrupt or alter sleep patterns:

People who don't watch Television won't have these problems.

Answer:

77.43% decrease

Step-by-step explanation:

A decrease of 11% = (100 - 11)% = 89% = [tex]\frac{89}{100}[/tex] = 0.89

A decrease of 13% = (100 - 13)% = 87% = [tex]\frac{87}{100}[/tex] = 0.87

A 11% decrease followed by a 13% decrease has an overall change of

0.89 × 0.87 = 0.7743 × 100% = 77.43%

Answer: 37 pieces of candy

Step-by-step explanation:

24-8.50 is 15.50 she wants to save 6.25, so, 15.50-6.25 is 9.25. 9.25 divided by the cost of each candy (0.25) is 37

H⁣⁣⁣⁣ere's l⁣⁣⁣ink t⁣⁣⁣o t⁣⁣⁣he a⁣⁣⁣nswer:

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

63degrees

Step-by-step explanation:

Using the theorem which states that the measure of angle at the vertex is half the angle of its intercepted arc.

Given

angle of its intercepted arc = 126 degree

Required

angle at the vertex = x =<XYZ

According to the theorem;

x = 1/2(126)

x = 126/2

x = 63

Hence the measure of <XYZ is 63degrees

Answer: =3x^3+5

Step-by-step explanation: Hope this help :D

Answer:

a) Let's define the variables:

t = number of tulips bought

r = number of roses bought

We know that each tulip costs $5, and each rose costs $3.

Then the total cost will be:

$5*t + $3*r

We know that Morty spent a total of $54, then we have the equation:

$5*t + $3*r = $54

We also know that he bought a total of 14 flowers, then:

r + t = 14

Then the system of equations is:

$5*t + $3*r = $54

r + t = 14

b) To solve the system, first, we need to isolate one of the variables in one of the equations. I will isolate r in the second one:

r = 14 - t

Now we can replace this into the other equation:

$5*t + $3*r = $54

$5*t + $3*(14 - t) = $54

Now we can solve this for t.

$5*t + $3*14 - $3*t = $54

$2*t + $42 = $54

$2*t = $54 - $42 = $12

t = $12/$2 = 6

t = 6

He bought 6 tulips.

Now we can use the equation r = 14 - t

r = 14 - 6 = 8

r = 8

He bought 8 roses.

Answer:

82+2>34

84>34

True

I hope this helps :)

Answer:

Step-by-step explanation:

Given

f(x) = 4x + 7

so

f(a + h) = 4(a + h) + h

          = 4a + 4h +h

          = 4a + 5h

f(a) = 4a + 7

now by the question

[tex]\frac{f(a+h) - f(a)}{h}\\=\frac{4a + 5h - 4a + 7}{h}\\=\frac{ 5h + 7}{h} \\= \frac{5h}{h} + \frac{7}{h} \\= 5 +\frac{7}{h}[/tex]

hope it helps :)

Answer:

443.736759 day

Step-by-step explanation:

To convert a seconds to days, divide the time by the conversion ratio.

So.....

One day is equal to 86,400 seconds, you can use this formula to convert:

 days = seconds ÷ 86,400

The time in days is equal to the seconds divided by 86,400.

Example: Convert 50,000 seconds to days (use the formula above)

50,000 sec = (50,000 ÷ 86,400) = 0.578704 day

The expression of 5.39 × 10⁷ metric tons in standard notation is; 53,900,000 metric tonnes

We are given the quantity of wheat produced each year as 5.39 × 10⁷ metric tons.

Now, that quantity is in exponent form and the way to express it in standard notation is to expand the exponent which gives;

5.39 × 10⁷ = 5.39 * 10 * 10 * 10 * 10 * 10 * 10 * 10

⇒ 5.39 * 10000000

⇒ 53,900,000 metric tonnes

The complete question is;

The U.S. produces 5.39 × 10⁷ metric tons of wheat each year. Express that number in standard notation

Read more about Standard notation at; https://brainly.com/question/5756316

#SPJ1

Solution :

Let [tex]$x_i$[/tex] represents the prices for the digital camera.

              [tex]$x_i$[/tex]                   [tex]$x_i^2$[/tex]

           225              50625

           236              55696

            217               47089

           202              40804

           231               53361

           185               35225

           193               37249

           185               34225

           217               47089

[tex]$\sum x_i = 2136$[/tex]       [tex]$\sum x_i^2 = 460388$[/tex]

Mean, [tex]$(\overline X) = \frac{\sum x_i}{n}$[/tex]

                 [tex]$=\frac{2136}{10}$[/tex]

                 = 213.6

Variance, [tex]$\sigma^2 = \frac{\sum x_i^2}{n}-(\overline X)^2$[/tex]

                     [tex]$ = \frac{460388}{10}-(213.6)^2$[/tex]

                    = 46038.8 - 45624.96

                    = 413.84

Therefore, standard deviation,

[tex]$\sigma = \sqrt{Var}$[/tex]

   [tex]$=\sqrt{413.84}$[/tex]

   = 20.343

Now to find the 93% confidence interval, the formula us

[tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]

For 93%, the value of z is 1.81

∴ Confidence interval = [tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]

C.I. = [tex]$213.6\pm 1.81 \times \frac{20.343}{\sqrt{10}}$[/tex]

      [tex]$=213.6 \pm 11.6438$[/tex]

Therefore, lower bound = 213.6 - 11.6438

                                        = 201.9562

                  Upper bound = 213.6 + 11.6438

                                         = 225.2438

∴ [tex]$201.9562 < \mu < 225.2438$[/tex]

or [tex]$202< \mu < 225.2$[/tex]

Answer:

4/35

Step-by-step explanation:

Probability of 1 student having no hw is 4/7, then 3/6, then 2/5

4/7 x 3/6 x 2/5 reduces to 4/35

Answer: 80

Step-by-step explanation:

Just substitute 1 for x in your expression and solve

Answer: B rational

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

If you plot them carefully.

Answer:

-6, 10

Step-by-step explanation:

When you reflect of the y-axis the x will be negative if the original point was positive and the y will stay the same

9514 1404 393

Answer:

  A.  translation 8 left

Step-by-step explanation:

Points X'Y'Z' are in the same clockwise order as points XYZ, so no reflection is involved.

Point X' at -6 is 8 units left of point X at 2. ΔXYZ has been translated left 8 units to make ΔX'Y'Z'.

Answer:

a is the answer.

Step-by-step explanation:

Answer:

exponent

Step-by-step explanation:

Answer:

power or exponent it can be both, but being specific here, choose exponent

Step-by-step explanation:

i studied this concept trust me

Answer:

Step-by-step explanation:600

Answer:

40

explanation:

The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract the lowest number from the highest. The answer gives you the range of the list.

Answer:

it is option C

Step-by-step explanation:

download  to help your work

1/ a cube and b to the power 4

Answer:

If you think numbers with fractions are annoying, consider transforming the number into fractions!

Step-by-step explanation:

7 1/2 is (14+1)/2, and 3 1/8 is (24+1)/3. Not you have 15/2 miles for 25/3 days and by dividing them you get 0.9 miles a day

Answer:

[tex]y=-\frac{1}{2} x-3[/tex]

Step-by-step explanation:

Hi there!

Slope intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope

The slope of a line is the same as its [tex]\frac{rise}{run}[/tex], or in other words, the number of units the line moves upwards over the number of units the line moves to the right.

In the graph, we can see that for every 2 units it moves right, it moves down 1 units. Therefore, our slope is [tex]-\frac{1}{2}[/tex]. This is negative since it is traveling downwards.

Plug [tex]-\frac{1}{2}[/tex] into [tex]y=mx+b[/tex] as m:

[tex]y=-\frac{1}{2} x+b[/tex]

2) Determine the y-intercept

In the graph, we can see that the line crosses the y-axis when y is equal to -3. Plug -3 into [tex]y=-\frac{1}{2} x+b[/tex] as b:

[tex]y=-\frac{1}{2} x-3[/tex]

I hope this helps!

Answer:

pretty sure its twenty

Step-by-step explanation:

you have to subtract the maximum from the minimum values

so 25-5=20

have a nice day!!!!!!!!

Answer: y = 3,x =7

Step-by-step explanation:

Answer:

18 because of its addition

Step-by-step explanation:

πr²=3+2+7+2+2+2

=5+9+4

=18