What is the value of the expression 3.6x10^8 / 1.2x10^3

The answer is:

[tex]cos(R)=\frac{1}{2}[/tex]

Since it's a right triangle and we need to know the adjacent side of the triangle, in order to find cos(R), we can use the Pythagorean Theorem.

Pythagorean Theorem formula:

[tex]c^{2}=a^{2} +b^{2}[/tex]

Where:

[tex]c=hypotenuse=20\\a=FirstTriangleSide=AdjacentSide\\b=SecondTriangleSide=OppositeSide=10\sqrt{3}[/tex]

So, the adjacent side will be:

[tex]AdjacentSide=\sqrt{c^{2}-b^{2}}=\sqrt{20^{2}-(10\sqrt{3})^{2}}=\sqrt{400-100*3} \\AdjacentSide=\sqrt{100}=10[/tex]

Now, that we know the adjacent side, we can calculate cos(R), so:

[tex]cos(R)=\frac{AdjacentSide}{Hypotenuse}=\frac{10}{20}=\frac{1}{2}[/tex]

Have a nice day!

Answer:

cosine∠R = 1/2

Step-by-step explanation:

We have to find the figure of triangle.

We have to find the cosine∠R.

First we find the base of triangle.

We have formula: Hypotenuse² = Base² + perpendicular²

Hypotenuse = 20

Base= ?

perpendicular = 10√3

Applying formula we get,

Base = √20² - (10√3)²

base = 10

As we know that :

cosФ = base/hypotenuse

cosine∠R = 10/20

cosine∠R = 1/2 is the result.

The answer is C because the 2x outside of the brackers must be negative to produce the beginning term. The next terms are positive and two negatives make a positive, therefore we can conclude that there must be a negative inside the brackets too.

Answer: C. −2x(x−3)(x+2)

Step-by-step explanation:

1. Find the Greatest Common Factor (GCF).

GCF=2x

2. Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

2x(2x^3/2x+−2x^2/2x+−12x/2x)

3. Simplify each term in parentheses.

−2x(x^2−x−6)

4. Factor x^2−x−6

−2x(x−3)(x+2)

Answer:

CD = two square root of 10 end square root

Step-by-step explanation:

To find the length of a segment, use the distance formula. Substitute the order pairs for the endpoints of the segment. CD has the end points (-7, -4) and (-1, -2).

[tex]d = \sqrt{(y_2-y_1)^2 + (x_2-x_1)^2} \\\\d = \sqrt{(-4--2)^2 + (-7--1)^2} \\\\d = \sqrt{-2^2 + -6^2}\\\\d = \sqrt{4 + 36}\\\\d=\sqrt {40} = 2\sqrt{10}[/tex]

To find the length of segment CD, use the distance formula:
[tex]\[d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.\][/tex] For CD with endpoints (-7, -4) and (-1, -2),
[tex]\[d = \sqrt{40} = 2\sqrt{10}.\][/tex]

To determine the length of a segment, utilize the distance formula by substituting the coordinates of the endpoints. In the case of segment CD, the endpoints are (-7, -4) and (-1, -2).

To determine the length of a segment, the distance formula is applied, denoted as:

[tex]\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \][/tex]

For segment CD with endpoints (-7, -4) and (-1, -2), the distance is computed as follows:

[tex]\[ d = \sqrt{(-1 - (-7))^2 + (-2 - (-4))^2} \][/tex]

This simplifies to:

[tex]\[ d = \sqrt{(6)^2 + (2)^2} \][/tex]

[tex]\[ d = \sqrt{36 + 4} \][/tex]

[tex]\[ d = \sqrt{40} \][/tex]

Hence, the length of segment CD is [tex]\(\sqrt{40}\)[/tex] units. This result can be further expressed as [tex]\(2 \sqrt{10}\)[/tex] by factoring out the square of the largest perfect square, which is 4, from 40. Therefore, the exact length of segment CD is [tex]\(2 \sqrt{10}\)[/tex] units.

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The answer is C as the net of a cube.

We will select which of four options are the net of a cube.

Remember the net of a cube is composed of six squares.

The answer to this problem is C. Because of the four options, only C has six squares as a condition of a net of cubes.

Following comprises the steps to construct a cube from the net of C:

- - - - - - - - - -

Notes:

Out of the given nets, option C is the net of a cube.

A net of a cube is a two-dimensional shape that can be folded into a three-dimensional figure.

We know that the total number of faces in a cube is 6

So total faces required to make a net of the cube = 6

Options A, B, and D are having 5 faces so they cannot make a net.

So the correct option is option C and we can fold the net to make a cube.

Hence, Out of the given options, option C is the net of a cube.

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Answer:

g + l = 38

g = l + 8

l + 8 + l = 38

2l = 30

l = 15, g = 23

The numbers are 15 and 23. The lesser number is 15, and the greater number is 23.

To find the two numbers, we can set up a system of linear equations. Using substitution method, we find that the numbers are 23 and 15.

To solve this problem, we can set up a system of linear equations. Let's assume that the two numbers are x and y, with x being the greater number.

We're given that the sum of the two numbers is 38, so we can write the equation x + y = 38.

We're also given that the greater number is 8 more than the other number, so we can write the equation x = y + 8.

We can solve this system of equations using substitution or elimination method. Let's use substitution method.

From the second equation, we can substitute the value of x in the first equation:

y + 8 + y = 38

2y + 8 = 38

2y = 30

y = 15

Now, substitute the value of y in the second equation:

x = 15 + 8

x = 23

Therefore, the two numbers are 23 and 15.

Answer:

34.66 yr

Step-by-step explanation:

The formula for interest compounded continuously is

[tex]A = Pe^{rt}[/tex]

Data:

P = $1400

r = 2 % = 0.02

Calculations:

(a) Calculate A

A = 2 × 1400 = $2800

(b) Calculate t

 [tex]2800 = 1400e^{0.02t}[/tex]

        [tex]2 = e^{0.02t}[/tex]     Divided each side by 1400

 ln2 =  0.02t               Took the ln of each side

     t = ln2/0.02          Divided each side by 0.02

     t = 34.66 yr

It will take 34.66 yr for the investment to double at 2 % interest compounded continuously.

Check:

2800 = 1400e^{0.02×34.66}

2800 = 1400e^{0.6931}

2800 = 1400 × 2

2800 = 2800

Answer:

[tex]ln(27c^3)[/tex]

Step-by-step explanation:

Given: [tex]3ln(3)+3ln(c)[/tex]

If there is a coefficient in front of a [tex]log[/tex] or [tex]ln[/tex], that means it becomes an exponent.

[tex]ln(3^3)+ln(c^3)[/tex]

Simplify the exponent.

[tex]ln(27)+ln(c^3)[/tex]

When there is addition between two logarithms or natural logarithms, it means they multiply together.

[tex]ln(27c^3)[/tex]

Answer:

[tex] \ln 27c^3 [/tex]

Step-by-step explanation:

[tex] = 3\ln 3 + 3\ln c [/tex]

[tex] = \ln 3^3 + \ln c^3 [/tex]

[tex] = \ln 3^3c^3 [/tex]

[tex] = \ln 27c^3 [/tex]

Answer:

1062 for 24 monthly payments plus 90$ down payment

Step-by-step explanation:

90+40.50x               x=24 months

40.5 x 24 = 972

+90

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

1062

Step-by-step explanation:

Since -4 is indeed equal to -4, we can say that D, there are many solutions since all real numbers are a solution because any number is equal to itself :)

The equation 5(x-2)+6 = 2x-4+3x has infinitely many solutions.

To solve the equation 5(x-2)+6 = 2x-4+3x, we start by distributing the 5 to the terms inside the parentheses: 5x - 10 + 6 = 2x - 4 + 3x. Next, we combine like terms on both sides of the equation: 5x - 4 = 5x - 4. This simplifies to 0 = 0, which means that both sides of the equation are equal.

Since the equation is true no matter what value of x we choose, this means that the equation has infinitely many solutions.

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Answer:

Gross income of Jonas from the two jobs is $ 26,503.84

Step-by-step explanation:

W-2 form is used in USA by to employees to show the money earned by them.

The gross income of Jonas will be the sum of two values.

Gross income= $19,328.98  + $7174.86

                      = $ 26,503.84

Answer:

$26,503.84

Step-by-step explanation:

Answer:

Final simplified form is [tex]5\sqrt{5}i[/tex]

Step-by-step explanation:

We have been given an expression [tex]\sqrt{-125}[/tex]

Now we need to simplify [tex]\sqrt{-125}[/tex] and check which choice matches with simplified form of [tex]\sqrt{-125}[/tex].

You missed to provide the choices but still we simplify that.

[tex]\sqrt{-125}[/tex]

[tex]=\sqrt{-5*5*5}[/tex]

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

When there is negative sign inside square root then we replace that by "i" iota.

[tex]=5\sqrt{5}i[/tex]

Hence final simplified form is [tex]5\sqrt{5}i[/tex]

Answer:

71°

Step-by-step explanation:

The average temperature is calculated as

Average = [tex]\frac{sum}{count}[/tex]

let x be the temperature in October, then

[tex]\frac{25+70+65+85+92+82+x}{7}[/tex] = 70, that is

[tex]\frac{419+x}{7}[/tex] = 70 ( cross- multiply )

419 + x = 490 ( subtract 419 from both sides )

x = 71

Average temperature in October was 71°

Answer:

A x < 1/2

Step-by-step explanation:

4x-14x > -5

Combine like terms

-10x > -5

Divide by -10.  Remember to flip the inequality since we are dividing by a negative

-10x/-10 < -5/-10

x < 1/2

Lisa has a total of 8 dresses in her closet. There are 2 red dresses, 3 green dresses, and the remaining 3 are blue dresses.

The subject of the question is probability in Mathematics. In the problem, Lisa has a total of 2 red dresses and 3 green dresses. The quantity of blue dresses is represented by 'x'. It is stated that the probability of choosing a red dress is 25%. Each dress in her closet is an outcome for this probability calculation.

So, in total, she has 2(red dresses) + 3(green dresses) + x(blue dresses) = 100% of the dresses or total outcomes. Since the probability of picking a red dress is 25%, then 2 (red dresses) are 25% of the total outcomes.

To work out the total number of outcomes (total dresses), we calculate 100% ÷ 25% = 4, and then multiply this by the number of red dresses (which is 2), giving us 4*2 = 8 dresses in total.

As we know there are 2 red dresses and 3 green dresses, that leaves 8 (total dresses) - 2 (red) -3 (green) = 3 blue dresses. Thus, Lisa has three blue dresses in her closet.

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Lisa has 6 blue dresses.

To find the number of blue dresses Lisa has, we need to set up an equation using the given information.

Lisa has 2 red dresses, 3 green dresses, and x blue dresses. The total number of dresses is 2 + 3 + x = 5 + x.

The probability of choosing a red dress is 25%, which can be written as 0.25.

This means that the number of red dresses divided by the total number of dresses equals 0.25. So, we have 2 / (5 + x) = 0.25.

Solving this equation for x, we find that Lisa has 6 blue dresses.

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Answer:

The volume = [tex]5x^{5}+4x^{4}+x^{3}[/tex]

Step-by-step explanation:

* The rule of the volume of the rectangular prism:

- the volume of any prism = base area × height

∵ The base of the rectangular prism is rectangle

∵ Area any rectangle = Length × Width = l × w

∴ The volume of the rectangular prism = l × w × h

* In the problem:

∵ l = x , w = x² , h = 5x² + 4x + 1

∴ The volume = (x)(x²)(5x² + 4x + 1)

* We will simplify it

- Multiply x by x² and then multiply the answer by the bracket

∵ x × x² = x³

∴ x³(5x² + 4x + 1)

∵ x³ × 5x² = 5x^5

∵ x³ × 4x = 4x^4

∵ x³ × 1 = x³

∴ The volume = [tex]5x^{5}+4x^{4}+x^{3}[/tex]

Answer with explanation:

The value of square -9 is not -3 ([tex] \sqrt { - 9 } \neq - 3 [/tex]).

It is because we cannot take a square root of a negative number since any number multiplied by itself is a positive number so you never get a negative value.

Therefore, it given an error if you try to take a square root of a negative number on a calculator.

Answer:

The value of √-9 is not -3 because we cannot take the square root of negative numbers

Step-by-step explanation:

It is not possible to take square root of a negative number.

If any positive number we can take its square roots.

-9 is a negative number.

√9 = ±3 means that,

√9 = 3 or √9 = -3

3 * 3 = 9 and -3 * -3 = 9

Therefore the value of √-9 is not -3

Answer:

One rose bush = $3

One bunch of ornamental grass = $4

Step-by-step explanation:

We can set up a system of equations to solve for this. Let cost of 1 rose bush be r and cost of 1 ornamental grass be g. Thus we can form 2 equations:

[tex]14r+7g=70\\5r+14g=71[/tex]

We can multiply the first equation by -2 so that we can eliminate g. Thus, we have:

[tex](*-2)14r+7g=70\\5r+14g=71\\-------\\-28r-14g=-140\\5r+14g=71\\--------\\-23r=-69\\r=\frac{-69}{-23}=3[/tex]

Thus, 1 rose bush is $3. Now plugging in r = 3 into the first original equation, we can solve for g:

[tex]14r+7g=70\\14(3)+7g=70\\42+7g=70\\7g=70-42\\7g=28\\g=\frac{28}{7}=4[/tex]

Thus, 1 bunch of ornamental grass is $4.

Answer:

It'd be easist if one of  the variables was by itself

Step-by-step explanation:

I.E: y=2x+4 and 2y+x=23

Answer:

D

Step-by-step explanation:

There was actually too much work for this on my paper so I can't really show it, but if you can memorize this parent function I would.

It’s D) y=cos(x+pi).

La respuesta

Answer: C

Step-by-step explanation:

Answer:

30 degrees!

Step-by-step explanation:

Answer: [tex]x^4+4x^3+6x^2+7x+2[/tex]

Step-by-step explanation:

 To solve this exercise you must apply the proccedure shown below:

- Apply the Distributive property (Remember that when you multiply two powers with the same base, you must add the exponents).

[tex]b^m*b^n=b^{(m+n)}[/tex]

- Add the like terms.

Therefore, you obtain that the product is:

[tex](x^2+3x+1)(x^2+x+2)=x^4+x^3+2x^2+3x^3+3x^2+6x+x^2+x+2\\=x^4+4x^3+6x^2+7x+2[/tex]

Answer:

1) 8    2) 125   3) 1,680   4) 5,040   5) 3,024

Step-by-step explanation:

Answer:

FRee points man idc about the question

Answer:

length of x is 50 yards

Step-by-step explanation:

Pythagorean Theorem:  a^2 + b^2 = c^2

30^2 + 40^2 = c^2

900 + 1600 = c^2

2500 = c^2   need to solve for c, square root both sides

50 = c

The length of the diagonal is 50 yards. The diagonal of a rectangle divides the rectangle into two right-angled triangles. Thus, by applying the Pythagoras theorem we can able to find the length of the diagonal.

The theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle) and the algebraic notation, [tex]a^2 + b^2 = c^2[/tex].

The diagonal of a rectangle divides the rectangle into two halves of right-angled triangles.

The length and breadth of the rectangle are 40 yards and 30 yards.

The diagonal x divides the rectangle. So, it becomes a common hypotenus for the two right-angled triangles.

So, applying the Pythagoras theorem.

x^2 = (40)^2 + (30)^2

     = 1600 + 900

     = 2500

Thus, the value of x is 50 yards.

Therefore, the length of the diagonal is 50 yards.

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Answer:

Step-by-step explanation:

The length has been reduced to 6 inches from 18 inches.

That means the length has been reduced to 6/18 = 1/3 of its original size.

So the width must be reduced to 1/3 * 10 which is roughly 3.333 inches.

It doesn't look like any of them are right. i don't know how to make it right from the answers given.

Answer:

Solve y=x^2+2 for x.A.B.C.D

Step-by-step explanation:

sorry lamo

Answer:

The answer is the first choice "A"

Step-by-step explanation:

I have done this test

The comparison which is true is Amsterdam is the same distance from sea level as Drachten.

So, we can see the Amsterdam is at same distance from sea level as Drachten. The negative sign indicates that Amsterdam is 2 m below the sea level.

So, option A is correct.

So, option B is incorrect.

So option C is incorrect.

So option D is incorrect.

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Answer:

yes

Step-by-step explanation:

It is 104.5

Please mark me the Brainliest answer! Hope this helps. Hugs.

Using the tangent function with the given angle of elevation and distance to the tower, we can calculate that the height of the tower is approximately 106.1 feet, which is answer C.

This is a question about trigonometry, specifically using tangent ratios. Given that the angle of elevation from Mindy to the top of the cell phone tower is 75 degrees and Mindy is standing 28 feet from the base of the tower, we need to find the height of the tower. The tangent of an angle in a right triangle is defined as the opposite side (the height of the tower in this case) divided by the adjacent side (the distance from Mindy to the tower).

Using the tangent function gives us: Tan(75) = height / 28. Multiplying both sides by 28 gives us the height: height = 28*Tan(75). Calculating this gives us the height of the tower, which is approximately 106.1 feet, therefore Option C is correct.

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