What is the approximate value of tan c?
A. 0.92
B. 0.44
C. 0.40
D. 2.29

Start by removing 1 and the primes from the set {1, 2, 3, …, 25}. The LCM among these numbers will be their product.

{1, 2, 3, 5, 7, 11, 13, 17, 19, 23}   ==>   product = 223,092,870

Factorize the remaining numbers in the set:

{4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25}   ==>

{2², 2×3, 2³, 3², 2×5, 2²×3, 2×7, 3×5, 2⁴, 2×3², 2²×5, 3×7, 2×11, 2³×3, 5²}

From each number above, remove any factor already accounted for in the product of primes:

{2, 1, 2², 3, 1, 2, 1, 1, 2³, 3, 2, 1, 1, 2², 5}

The LCM among these factors is 2³×3×5 = 120.

Then the LCM of the numbers in {1, 2, 3, …, 25} is

223,092,870 × 120 = 26,771,144,400

so that A = 7, B = 4, and C = 0. Then

100A + 10B + C = 740

Answer:

Trinomial, 2

Step-by-step explanation:

Answer:

Trinomial, 2

Step-by-step explanation:

The measure of QS is 11 units.

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment QT, where the length of line segment QT refers to the distance between its endpoints, Q and T.

Q_________R___________S_________T

Given that RT= 12

And RS=7

⇒ RT= RS + ST

⇒ ST= RT - RS

⇒ ST= 12-7

Substitute the values of RT and RS,

⇒ ST= 5

⇒ QT= 16

⇒ QR = 16 - RT= 16 - 12 = 4

⇒ QS = QR + RS

Substitute the values of QR and RS,

⇒ QS = 4 + 7=11

⇒ QS = 11

Hence, the measure of QS is 11 units.

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Answer:

x^2 +2x+xy +2y

Step-by-step explanation:

(x + y) (x + 2)

FOIL

first x*x = x^2

outer  x*2 =2x

inner y*x= xy

last = y*2 =2y

Add together

x^2 +2x+xy +2y

Answer:

Step-by-step explanation:

F - First ; O - Outside ;  I - inside  ; L -last

(x + y)(x + 2) = x*x + x*2 +y*x +y*2

                    = x² + 2x + xy +2y

Answer:

probability that 2 cards drawn from a deck of 52 cards are both kings.

is probability that first card is a king times probability that second card is a king

with replacement 4/52*4/52 =0.592%

without replacement 4/52*3/51=0.452%

Step-by-step explanation:

Answer:

I know this problem is an  

✔ equation

because it has an equals sign.

The t is the  

✔ variable

.

The negative sign is the  

✔ operation

.

The 7 and the 8 are both  

✔ constants

.

Step-by-step explanation: i took the test :( crying cuz im bouta fail

Answer:

3. (1-7/9)÷2 = 2/9÷2 = 1/9

reciprocal of 1/9 is 9

4. x+2/x=3

if you solve it, you get x = 1 and x = 2, so last option, 1 and 2, is the answer

Answered by GAUTHMATH

Answer:

x = 55°

Step-by-step explanation:

The sum of the angles in a triangle is 180°.

x + 75 + 50 = 180

x + 125 = 180

x = 55

Therefore, x = 55°.

Answer:

x = 55

Step-by-step explanation:

the angles of a triangle add up to 180 degrees. So far we have 125 taken up.

We do 180 - 125 = 55.

x = 55

Answer:

x = 24.9

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos 43 = x /34

34 cos 43 = x

x=24.86602

To the nearest tenth

x = 24.9

==================================================

Work Shown:

4x^3 - 4

4(x^3 - 1)

4(x - 1)(x^2 + x + 1)

In the last step, I used the difference of cubes factoring formula which is

a^3 - b^3 = (a - b)(a^2 + ab + b^2)

Answer:

(x-4)^2-9 where a=4 and b=9

Step-by-step explanation:

x^2-8x+5

x^2-8x+16-16+5

(x-4)^2-9, a=4 and b=9

Answer:

1 /4

Step-by-step explanation:

Given that :

Number of red = 7

Number of Blue = 7

Number of green = 14

Total number of balls = 28

Probability of picking a ball that is neither red nor green.

Probability = required outcome / Total possible outcomes

P(neither red nor green) = P(picking a blue ball) = 7 / 28 = 1/4

Answer:

Answer = 0

Step-by-step explanation:

√2+√3 - √2-√3

  = 0

Hope this  answer helps you :)

Have a great day

Mark brainliest

Answer:

x = -1 y = 3

Step-by-step explanation:

x = 2y-7

2x + 3y = 7

Substitute x =2y-7 in 2y + 3y = 7

2(2y-7) + 3y = 7

4y-14+3y = 7

7y - 14 = 7

7y = 7 + 14

7y = 21

7y/7 = 21/7

y = 3

Substitute 3 for y in x = 2y-7

x = 2(3) - 7

x = 6 -7

x = -1

Answered by Gauthmath

Answer:

A: the sample size is less than 30

Step-by-step explanation:

Usually, the t-distribution is used instead of normal distribution in calculation of the mean of a normally distributed population when the sample size is small (n < 30) and if the population standard deviation is not known.

Thus, looking at the options, the correct one is Option A.

Answer:

x         -2     3     8     13

f^-1(x)  -1    0     1        2

Step-by-step explanation:

The inverse function has the input as the output and the output as the input

x         -2     3     8     13

f^-1(x)  -1    0     1        2

Answer: C

Step-by-step explanation: In this problem, we're given a function

in the form of a chart and we're asked to find the inverse of the function.

To find the inverse of a function, we simply switch

the x and y values in each point.

In other words, the point (-1, -2) becomes (-2, -1),

the point (0, 3) becomes (3, 0), the point (1, 8) becomes (8, 1),

and the point (2, 13) becomes (13, 2).

Answer:

8x-2

Step-by-step explanation:

l = x+4

w = 3x-5

The perimeter is

P =2(l+w)

   = 2(x+4+3x-5)

Combine like terms

   = 2(4x-1)

Distribute

   = 8x-2

Answer:

[tex]8x-2[/tex]

Step-by-step explanation:

The perimeter of a rectangle is 2L + 2W, where L represents the length and W represents the width. In this scenario, L is equal to x + 4 and W is equal to 3x - 5. We can setup an equation:

[tex]2(x+4)+2(3x-5)[/tex]

We can then multiply x - 4 by 2 to get [tex]2x+8[/tex]

We can then multiply 3x - 5 by 2 to get [tex]6x-10[/tex]

Adding them together, we get the answer as [tex]8x-2[/tex]

Answer: -2/7

|3x - 2| - 4x = 4

1) (3х - 2) - 4х = 4, if 3x - 2 >= 0

2) -(3x - 2) - 4x = 4, if 3x - 2 < 0

1)

3х - 4х = 4 + 2

-x = 6

x = -6

3х - 2 >= 0

3х >= 2

x >= 2/3 - wrong

2)

-3х + 2 - 4х = 4

-7х = 2

x = -2/7

3x-2<0

3x<2

3(-2/7)<2-right

Answer:

x=5

Step-by-step explanation:

[tex]\frac{10}{x} = \frac{4x}{10}[/tex]

[tex]4x^{2} =100\\x^{2} =25\\x=5[/tex]

3.35 hours is 3 hours and 21 minutes.

3.35 hours is also equivalent to 201 minutes and 0 seconds or 12060 seconds.

Hope this helps!

Have a wonderful day!

Answer:

3 hours and 21 minutes

Step-by-step explanation:

Answer:

The equation of the line is [tex]y = \frac{3}{5}\cdot x -\frac{26}{5}[/tex].

Step-by-step explanation:

Given the values of the slope and a point of the line, we can derive the equation of the line by means of this formula:

[tex]y-y_{1} = m\cdot (x-x_{1})[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]m[/tex] - Slope.

[tex](x_{1}, y_{1})[/tex] - Coordinates of the given point.

If we know that [tex]m = \frac{3}{5}[/tex] and [tex](x_{1},y_{1}) = (2, -4)[/tex], then the equation of the line is:

[tex]y+4 = \frac{3}{5}\cdot (x-2)[/tex]

[tex]y + 4 = \frac{3}{5}\cdot x -\frac{6}{5}[/tex]

[tex]y = \frac{3}{5}\cdot x -\frac{26}{5}[/tex]

The equation of the line is [tex]y = \frac{3}{5}\cdot x -\frac{26}{5}[/tex].

Answer:

volume is 576

Step-by-step explanation:

all you do to find volume is multiply LxWxH which will give you volume so just take 18m x 4m x 8m = 576m hopefully its a simply and direct explanation make me brainlist please !!!

The volume of a pyramid is 720 m³.

A pyramid is a structure where outer surfaces are triangular and converge to a point at the top.

The volume of a pyramid with a square base is given as:

Volume = 1/3 x base area x height

We have,

Base area:

A = (1/2) x apothem x perimeter

where the perimeter is the total length of all five sides of the pentagon.

So,

= 1/2 x 4 x (5 x 8)

= 2 x 40

= 80 m²

Height.

= 18 m

Now,

The volume of a pyramid.

= 1/2 x 80 x 18

= 80 x 9

= 720 m³

Thus,

The volume of a pyramid is 720 m³.

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Answer:

33ft^3

Step-by-step explanation:

radius is half the diameter, half of 2=1 and 1^2=1

3(1)(11)=33

Answer: V = 33 ft³

Step-by-step explanation:

π = 3

r = (1/2)d = (1/2) (2) = 1 ft

h = 11 ft

Given Formula

V = π r² h

Substitute values into the formula

V = (3) (1)² (11)

Simplify exponents

V = (3) (1) (11)

Simplify by multiplication

V = 33 ft³

Hope this helps!! :)

Please let me know if you have any questions

Answer:

144 degrees

Step-by-step explanation:

We can use the formula (n-2)(180), where n = number of sides, to find the sum of all the interior angles in the decagon. Since a decagon has 10 sides:

(n-2)(180) = ?

(10-2)(180) = ?

(8)(180) = 1440.

Now, to find one interior angle in the decagon, divide 1440 by the number sides in our polygon (10).

1,440/10 = 144

               = 144 degrees

Answer:

Circumference is 43.982 cm

Step-by-step explanation:

[tex]circumference = 2\pi r \\ = (2 \times 3.14 \times 7) \\ = 43.982 \: cm[/tex]

[tex]{ \underline{ \tt{ ‡†‡ \: \: trent008}}}[/tex]

Answer: m = 3.89

Step-by-step explanation:

(3m/5)+(m/2) =(4/1)+(2/5)

= (taking LCM) (6m+5m)/10 = (20+1)/5

or, 11m/10 = 21/5

or, 55m = 210

or, m = 210/55

so, m = 3.89

Answer:

The answer is "[tex]v = \frac{50b}{v} = 50 \times b[/tex]".

Step-by-step explanation:

A single bottle of supercharging includes the equivalent of 50 vitamins.

Number of vitamins v = Total number of vitamins

b = the number of bottles that were used

Because each bottle contains one vitamin, you should multiply this total number of bottles (b) by the total amount of vitamins (50 vitamins).

[tex]v = \frac{50b}{v} = 50 \times b[/tex] so, Both are the same.

Answer:

i just did it- here ya go

Step-by-step explanation:

Answer:

[tex]t = \sqrt{ \frac{8}{g} } [/tex]

Step-by-step explanation:

We are solving for t.

[tex]4 = \frac{1}{2} g {t}^{2} [/tex]

Multiply both sides by 2.

[tex]8 = gt {}^{2} [/tex]

Divide both sides by

[tex] \frac{8}{g} = {t}^{2} [/tex]

Take square root of both sides.

[tex]t = \sqrt{ \frac{8}{g} } [/tex]