How can you prove that csc^2 θtan^2 θ-1=tan^2 θ?

Answer:

hy the answer is C. a car maintained constant speed

Answer:

c.A car maintained constant speed

Step-by-step explanation:

according to the graph,velociry is always in a straight line over time.

so the velocity is constant

so A car maintaned constant speed

Answer: 15.01

Step-by-step explanation:

Answer:

If you invest $4000 at 2% compounded quarterly you will make 4,694$.

Step-by-step explanation:

Answer:

$4686.64

Step-by-step explanation:

here is the function 4000(1+0.02)^8

Both of those values are in scientific notation

Scientific notation is when we have numbers of the form [tex]a \times 10^b[/tex] where [tex]0 \le a < 10[/tex] and b is an integer.

Both 9.725 and 9.7250 are inside the inequality mentioned above.

Scientific notation is used to help describe very large numbers, or very small numbers, depending on context.

---------------

If you wanted to convert from scientific notation to standard notation, then you'll move the decimal point based on what the exponent is. The positive 6 means we move the decimal point 6 places to the right.

We go from 9.725 to 9,725,000 which is about 9.7 million

In other words, [tex]9.725 \times 10^6 = 9,725,000[/tex]

As another example, [tex]1.23 \times 10^{11} = 123,000,000,000 = \text{123 billion}[/tex] since we start at 1.23 and move the decimal point 11 spots to the right to arrive at 123,000,000 aka 123 billion.

By using trigonometric relations, we will find that:

sin(θ) = (√33)/7 = √(33/49)

Remember that for a right triangle, we have the relations:

cos(a) = (adjacent cathetus)/(hypotenuse)

sin(a) = (opposite cathetus)/(hypotenuse).

Here we know that:

cos(θ) = 4/7

Then we can say that we have a triangle with an adjacent cathetus of 4 units and a hypotenuse of 7 units. Now we need to find the other cathetus.

opposite cathetus = √(7^2 - 4^2) = √33

Then we can write:

sin(θ) = (√33)/7 = √(33/49)

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Answer:

The answer is D.

Step-by-step explanation:

Edge 2022

taking a peek at the pyramid, is really just 4 triangles stemming from a common top and touching a squarish base at the edges.

so hmmm to get the surface area of the pyramid, we can simply get the area of all those four triangles and the square and sum them up.

[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{\textit{four triangles}}{4\left[\cfrac{1}{2}(\stackrel{b}{10})(\stackrel{h}{4}) \right]}~~ + ~~\stackrel{square}{(10)(10)}}\implies 80~~ + ~~100\implies 180~in^2[/tex]

Write the coefficients of the x-terms as the numbers down the first column.

Write the coefficients of the y-terms as the numbers down the second column.

If there are z-terms, write the coefficients as the numbers down the third column.

Draw a vertical line and write the constants to the right of the line.    

Answer:

  7.5 minutes

Step-by-step explanation:

The stacking rate working together is assumed to be the sum of the separate stacking rates. The rates are given in terms of minutes per pile, but we need to do the computation with rates in terms of piles per minute.

__

  total rate = Maria's rate + Alex's rate

  = 1/20 piles/min + 1/12 piles/min = (12 +20)/(20·12) piles/min

  = 32/240 piles/min = 2/15 piles/min

Then the rate in terms of minutes per pile is ...

  1/(2/15 piles/min) = 15/2 min/pile = 7.5 min/pile

When both work together, it will take them 7.5 minutes to stack a pile of wood.

Answer:

P(greater than 4 or factor of 5) = 1/3

Step-by-step explanation:

→ let A be the set {the numbers greater than 4}

then A : {5 , 6}

p(A) = 2/6

→ let B be the set {the factors of 5}

then B : {1 , 5}

p(B) = 2/6

P(greater than 4 or factor of 5) = p(A∪B)

Formula =================

p(A∪B) = p(A) + p(B) - p(A∩B)

………………………………………………

A∩B : {5}

then

cardA∩B = 1

Then

p(A∩B) = 1/6

Finally :

p(A∪B) = p(A) + p(B) - p(A∩B)

            = 2/6 + 2/6 - 1/6

            = 3/6

            = 1/3

Answer:

The surface area of the square pyramid is 280 units².

Step-by-step explanation:

As we know that the total surface area of a square pyramid can be obtained by identifying the length 'b' of its base and its slant height 's' by using the formula:

[tex]A=2bs+b^2[/tex]

From the figure, it is clear that

substituting the values in the formula

[tex]A=2bs+b^2[/tex]

[tex]A=2[/tex] [tex](10)[/tex] [tex](9)+(10)^2[/tex]

   [tex]=2[/tex] [tex](10)[/tex] [tex](9)+100[/tex]

   [tex]=280[/tex]

Therefore, the surface area of the square pyramid is 280 units².

The class that had better overall results on the exam is class A.

The class with greater variablity in results is class B.

The statistics of students in class A:

Maximum score = 100

Minimum score = 65

Median = 85

First quartile = 1/4(n + 1) = 1/4 x 12 = 3rd term = 70

Third quartile = 3/4 x (n + 1) = 3/4 x 12 = 9th term = 90

The statistics of students in class B:

Maximum score = 100

Minimum score = 55

Median = 75

First quartile = 70

Third quartile = 80

The range would be used to determine which class has greater variability.

Range = highest score  - lowest score

Class a = 100 - 65 = 35

Class B = 100 - 55 = 45

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Answer:

Heyyy!!!!

The answer is 1.

Please read explanation it will definitely help you....

Step-by-step explanation:

Okay... Here it goes...

Basically, there is an exponent rule that says that anything to the power of 0 is 1.

I hope this helps!

Answer:

7^0 = 1

Step-by-step explanation:

Anything that has an exponent of 0 is 1.

Answer:

490.1 in^3

Step-by-step explanation:

In order to find the volume of a cylinder, you would multiply the area of the base b the height, so a cylinder with base [tex]26 \pi in^{2}[/tex] and height 6 in would be [tex]26\pi \times 6[/tex]

This multiplies to 490.08845396 when put in a calculator, and rounded to the nearest tenth, the answer is 490.1 in^3

Answer:

2.2 ≤ x ≤ 4.5

Step-by-step explanation:

The rate of change simply is asking when the gradient is negative and since a graph is provided you can tell where the line is declining which is in between 2.2 and 4.5. Without a graph, you can use the derivative to find out the negative rate of change of a cubic instead.

The correct answer to match the graph is 1 ⇒C, 2⇒ D 4 ⇒B 3⇒ A respectively.

What is the definition of a linear equation?

It is described as a relationship between two variables that results in a straight line if the graph of the linear equation is plotted.

When just one variable is involved in a linear equation, the equation is referred to as a linear equation in one variable.

The four graph are attached in the attachment.

Hence,the correct answer to match the graph is 1 ⇒C, 2⇒ D 4 ⇒B 3⇒ A respectively.

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Answer:

the exponent is four

2x2x2x2 is 16

Answer:

down shift 90

Step-by-step explanation:

-90 will shift the graph down 90 units

Answer:

103.4 mi to nearest hundredth.

Step-by-step explanation:

This is an application of the Tangent/secant of a Circle theorem.

If h is the distance to the horizon:

h^2 = 2.7 * (3959 + 2.7)

h^2 = 10696.59

h = 103.424 miles.

Answer:

see attached picture for details

a = BOA + COD

b = BOD

c = 150

d = BOA + COD

Step-by-step explanation:

see attached picture with color coded answers

The location of point B is (0,5.5).

The section formula tells us the coordinates of the point which divides a given line segment into two parts such that their lengths are in the ratio m : n.

Given: A(1,5), M(-1,6)

If M is the mid point of line AB, then

let the coordinates of B(a,b),

Using section formula,

a= 1*1+1*(-1)/(1+1)

a= 0/2

a=0

b= 1*6+1*5/2

b=11/2

b=5.5

Hence, the coordinated of B(0,5.5).

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Answer:

B. (0,5.5)

B's location is (0,5.5)

The probability of rolling a sum of 12 or smaller than 5 is:

P = 7/36 = 0.194

Each dice has a total of 6 outcomes. Then for rolling two die, the total number of outcomes is:

6*6 = 36

The probability of rolling a sum of 12 or smaller than 5, is equal to the quotient between the number of outcomes that meet the above condition and the total number of outcomes.

There is only one outcome that adds up to 12.

And by looking at the table, we can see that there are 6 outcomes that add up to numbers smaller than 5.

So 7 outcomes meet the condition.

Then the probability is:

P(sum of 12 or <5) = 7/36 = 0.194

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[tex]\text{L.H.S}\\\\=(1 - \cot \theta )^2 + (1 + \cot \theta)^2 \\\\=(1-\cot \theta + 1 + \cot \theta)^2 - 2(1 -\cot \theta)(1 + \cot \theta)\\\\=2^2 - 2(1 - \cot^2 \theta)\\\\=4-2+2 \cot ^2 \theta\\\\=2+2 \cot^2 \theta\\\\=2(1 + \cot^2 \theta)\\\\=2 \csc^2 \theta\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]

Step-by-step explanation:

dk if this makes sense

Answer:

25

Step-by-step explanation:

..............

Answer:

1. A

2. i think c not sure

Step-by-step explanation:

Answer:

4.7

Step-by-step explanation:

Answer:

4.7

Step-by-step explanation:

Answer:

[tex]2cm[/tex]

Step-by-step explanation:

Volume of a cone= [tex]\pi r^2\frac{h}{3}[/tex]

Substitute: [tex]37.68cm^3=\pi r^2(\frac{9}{3})[/tex]

[tex]37.68cm^3=\pi r^2(3)[/tex]

[tex]37.68cm^3=\pi r^2(3)[/tex] Divide by 3

[tex]12.56cm=\pi r^2[/tex] Divide by pi

[tex]4cm=r^2[/tex]

[tex]r=\sqrt{4}[/tex]

[tex]r=2[/tex]