What is the value of X?

The width of the cloud is 12500 meters wide.

The situation forms a right angle triangle.

Right angle triangle are triangle that has one of its sides as 90 degrees. The sides can be found using trigonometric ratios.

Therefore, the altitude is the opposite side of the triangle formed. The width of the cloud is the adjacent side of the triangle formed.

tan 10 = opposite / adjacent

Therefore,

tan 10° = 2200 / a

cross multiply

a = 2200 / tan 10°

a = 2200 / 0.1763269807

a = 12500 meters

Therefore, the width of the cloud is 12500 meters .

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Answer:

Step-by-step explanation:

3) Congruent segments added to congruent segments form congruent segments

4) [tex]\overline{AD} \parallel \overline{BC}[/tex] (opposite sides of a parallelogram are parallel)

5) [tex]\angle FAH \cong \angle GCE[/tex] (if 2 parallel lines are cut by a transversal, the alternate interior angles are congruent)

6) [tex]\triangle GEC \cong \triangle HFA[/tex] (ASA)

Answer:

97.4 inches squared

Answer:

option c

Step-by-step explanation:

Quadratic function in vertex form:

y = a(x - h)² + k

Where (h, k) is the vertex

vertex(5 , 12)

y = a(x - 5)² + 12

This passes through (8, 9)

9 = a(8 - 5)²  + 12

9 = a(3)² + 12

9 = 9a + 12

9 - 12 = 9a

9a = -3

a = -3/9

a = -1/2

[tex]Answer:\ y = \dfrac{-1}{3}(x - 5)^{2}+12[/tex]

[tex]f(x) = (tan(5x)+2)^2\\\\f'(x) = 2(tan(5x) +2)*\frac{d}{dx}(tan(5x)+2) = 2(tan(5x)+2)*5sec^2(5x)\\ =(2tan(5x)+4)*5sec^2(5x)\\ =10tan(5x)*sec^2(5x)+20sec^2(5x)[/tex]

Hope that helps!

Answer:

Step-by-step explanation:

Volume of cube = edge³

                           = 12*12*12

                           = 1728 in³

Volume of prism = volume of 64 cubes

                            = 64 * volume of a cube

                            = 64 * 1728

                            = 110592 in³

1. Applying the pythagroean theorem, ML = 6.4.

2. Applying the two tangents theorem, WY = 37.

The two tangents theorem states that two tangents drawn from a circle to meet at a point outside the circle are congruent.

Thus:

1. ΔJKL is a right triangle, find JL using the Pythagorean theorem:

JL = √(16² - 9.6²)

JL = 12.8

Therefore:

ML = 1/2(JL)

ML = 1/2(12.8) (radius of circle)

ML = 6.4.

2. Based on the two tangents theorem, we have:

43 - 2x = 12x + 1

-2x - 12x = -43 + 1

-14x = -42

x = 3

WY = 43 - 2x

Plug in the value of x

WY = 43 - 2(3)

WY = 37

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Answer:

y- 1/2x+8

Step-by-step explanation:

the slope is negative 1/2

Answer: Below

Step-by-step explanation:

so using slope intercept form, we know that y = mx + b. We plug in our values. Since -10 is the x value and -7 is the y value, and 2 is the slope:

-7 = 2(-10) + b

Simplify.

-7 = -20 + b
13 = b

We plug b into the slope intercept form, this time without an x or y value to make it apply to all points on the line.

y = 2x + 13

That's our answer.

The series you had provided is generally the Maclaurin's series , and we want to prove the series , this series is very very much useful in calculus , especially when you have to substitute a function by it's series . So now let's start !

Consider the function f(x) as series of a polynomials of nth (n ≥ 1) degree as

[tex]{\boxed{\bf{f(x)=a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4}+\cdots \cdots \infty}}}[/tex]

Now , at x = 0

[tex]{:\implies \quad \sf f(0)=a_{0}+a_{1}(0)+a_{2}(0)^{2}+a_{3}(0)^{3}+a_{4}(0)^{4}+\cdots \cdots \infty}[/tex]

[tex]{\boxed{:\implies \quad \sf f(0)=a_{0}}}[/tex]

Now , again consider the function that we assumed

[tex]{:\implies \quad \sf f(x)=a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4}+\cdots \cdots \infty}[/tex]

Differentiating both sides w.r.t.x will yield

[tex]{:\implies \quad \sf f^{\prime}(x)=0+a_{1}\times 1+a_{2}\times 2\times x+a_{3}\times 3\times x^{2}+a_{4}\times 4\times x^{3}+\cdots \cdots \infty}[/tex]

[tex]{:\implies \quad \sf f^{\prime}(x)=a_{1}+2a_{2}x+3a_{3}x^{2}+4a_{4}x^{3}\cdots \cdots \infty}[/tex]

Now , put x = 0 ;

[tex]{:\implies \quad \sf f^{\prime}(0)=a_{1}+2a_{2}(0)+3a_{3}(0)^{2}+4a_{4}(0)^{3}\cdots \cdots \infty}[/tex]

[tex]{:\implies \quad \sf f^{\prime}(0)=a_{1}}[/tex]

[tex]{\boxed{:\implies \quad \sf a_{1}=\dfrac{f^{\prime}(0)}{1!}}}[/tex]

Now , consider ;

[tex]{:\implies \quad \sf f^{\prime}(x)=a_{1}+2a_{2}x+3a_{3}x^{2}+4a_{4}x^{3}\cdots \cdots \infty}[/tex]

Differentiating both sides w.r.t.x now ;

[tex]{:\implies \quad \sf f^{\prime \prime}(x)=0+2\times a_{2}\times 1+3\times a_{3}\times 2\times x+4\times a_{4}\times 3\times x^{2}\cdots \cdots \infty}[/tex]

[tex]{:\implies \quad \sf f^{\prime \prime}(x)=2a_{2}+6a_{3}x+12a_{4}x^{2}+\cdots \cdots \infty}[/tex]

Now , putting x = 0 will yield ;

[tex]{:\implies \quad \sf f^{\prime \prime}(0)=2a_{2}+6a_{3}(0)+12a_{4}(0)^{2}+\cdots \cdots \infty}[/tex]

[tex]{:\implies \quad \sf f^{\prime \prime}(0)=2a_{2}}[/tex]

[tex]{\boxed{:\implies \quad \sf a_{2}=\dfrac{f^{\prime \prime}(0)}{2!}}}[/tex]

Now , similarly we can prove that ;

[tex]{\boxed{:\implies \quad \sf a_{n}=\dfrac{f^{n}(0)}{n!}}}[/tex]

Now , as we had considered ;

[tex]{:\implies \quad \sf f(x)=a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4}+\cdots \cdots \infty}[/tex]

Now , putting the values we obtained above ;

[tex]{:\implies \quad \sf f(x)=f(0)+\dfrac{x}{1!}f^{\prime}(0)+\dfrac{x^2}{2!}f^{\prime \prime}(0)+\dfrac{x^3}{3!}f^{\prime \prime \prime}(0)+\dfrac{x^4}{4!}f^{\prime \prime \prime \prime}(0)+\cdots \cdots \dfrac{x^n}{n!}f^{n}(0)+\cdots \cdots \infty}[/tex]

Hence , Proved

Answer:

Physical activy used for pleasure.

Step-by-step explanation:

It's just a meaning so I can't provide an explanation.

Answer:

30

Step-by-step explanation:

5% of 600 is 30 so that should be ur answer

Answer:

they are not simular

Step-by-step explanation:

one has longer sides then the other and one has shorter sides

The relationship iof the ostrich running at 43 miles per hour is proportional.

Since speed = distance per unit time

The speed of the ostrich is 43 miles per hour. This means that the ostrich covers a distance of 43 miles every hour.

Since the ostrich always covers a distance of 43 miles every hour, we see that distance is proportional to time.

So, the relationship iof the ostrich running at 43 miles per hour is proportional.

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Answer:

2000 is the answers.............

D. f-1(x) = x-4/6

Step-by-step explanation:

y = 6x + 4

-4

y-4 = 6x

÷6

y-4/6 = x

(Swap y and x around to find the inverse)

Inverse will be:

x - 4/6 = y

So, f-1(x) = x-4/6

Hope this helps!

Answer:

false and can you please help me on my last question i posted its bout john henry

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

You take the 400 and you minus 38 you get 362 then u divide that by 25 you get 14.48. I personally would just go with 14

Answer:

60% in a fraction is: 60/100

60/100 of a variable, x, is equal to 90.

So we format it this way and solve for x;

60/100 * x = 90

60/100x = 90

0.6x = 90

/0.6    /0.6

x = 150, is the number.

Answer:

answer is 2.8 im not sure so check with another person mark me as brainliest

Step-by-step explanation:

if you divide 10 divided by 2 it gives you 5 and then subtract it by 2.2 = 2.8

there goes your answer.

Answer:

x=11

Step-by-step explanation:

supplementary angles add up to 180 degrees

10x + 70 =180

10x = 110

x=11

11x10 = 110  

 110+70 = 180

[tex]81x^{2} -121=(9x-11)(9x+11)[/tex]

Hope that helped!

Factoring:

     [tex]81x^2-121=(9x+11)(9x-11)[/tex]

Hope that helps!

Answer: 74 degrees

Step-by-step explanation:

The measure of a central angle is equal to the measure of the arc that it intercepts.

Answer:

(1, 15), (2, 30), (3, 45), (4, 60)

Step-by-step explanation:

So the values are already given to you in the table, it's just a matter of turning them into ordered pairs. Ordered pairs are a set of numbers that represent a point on the coordinate plane. On the graph, the x-axis (horizontal) is for time and the y-axis (vertical) is for the amount of push-ups. An ordered pair is (x, y) so you put (amount of minutes, amount of push-ups). For how they're related, how many push-ups he did increases by 15 for every minute. So, the y-value increases by 15 when the x-value increases by 1.

Answers: set the expression 3x equals to 0 and set the expression x-6 equal to 0, then solve both equations for x

Step-by-step explanation: x = 0, x = 6

Answer:

20b

Step-by-step explanation:

3+8+9

3+8=11

9+11=20

3b+8b+9b

3b+8b=11b

11b+9b=20b

Answer:

Since they all have the same variable, you add them all together. so it would be 20b !!

Step-by-step explanation:

Answer:            GREATER                                                                                                                          

Step-by-step explanation:

1/4 of a pound is 0.125 divided by 4 please correct if wrong 8 ounces to a pound would be 0.5/0.50

Answer:

1/3 (one-third)

Step-by-step explanation:

A scale factor that produces an image smaller than the original figure is less than 1. A scale factor that produces an image bigger than the original figure is more than 1.

Thus, the only option that's less than 1 is one-third.