find the value of x.....

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance from point A to point B is 763.752ft.

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

A.) The distance between the boat and the lighthouse when the angle of depression is 10°.

Tan(10°) = Height of lighthouse/ distance between the boat and the lighthouse

Distance between the boat and the lighthouse

= 145/Tan(10°) = 822.336ft

B.) The distance between the boat and the lighthouse when the angle of depression is 68°.

Tan(68°) = Height of lighthouse/ distance between the boat and the lighthouse

Distance between the boat and the lighthouse

= 145/Tan(68°) = 58.584ft

The distance between point A and B = 822.336ft - 58.584ft = 763.752 ft

Hence, the distance from point A to point B is 763.752ft.

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Answer:

764

Step-by-step explanation:

Rounded. Just did the question

Answer:

70%

Step-by-step explanation:

The height of the kite above the ground to the nearest tenth of a foot is 84.1 ft

The situation forms a right angle triangle.

Therefore, the length of the string is the hypotenuse of the triangle formed.

Hence, using trigonometric ratios,

sin 35 = opposite / hypotenuse

sin 35 = h / 140

cross multiply

h = 140 sin 35

h = 140 × 0.57357643635

h = 80.3007010891

Height of the kite above the ground = 80.3007010891 + 3.75 = 84.0507010891

Height of the kite above the ground = 84.1 ft

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[tex]\frac{10^8}{10^6} = 10^{8-6} = 10^2 = 100[/tex]

The rule used is

[tex]\frac{a^b}{a^c} = a^{b-c}[/tex]

Subtract the exponents when dividing exponentials like this of the same base.

Answer:

[tex]x=\frac{\pi}{2}, x =\frac{3\pi}{2}[/tex]

Step-by-step explanation:

Answer:

It would be y=12x

Step-by-step explanation:

I think

Answer:

if x=24°and y = 54°

sin x + sin y

The center of the circle will be equal to (-3,4) equation of the circle   x²+y²+6x-8y+16=4

The circle is defined as the locus of the point traces around a fixed point called as the center and is equidistant from the out trace.

The general form of the equation of the circle is:-

(x-x₁)²+(y-y₁)²=r²

here x1 and y1 are the center of the circle

Now we will convert our equation in the general form:-

x²+y²+6x-8y+16=4

x²+6xy²-8y+16-4=0

x²+3x+3x+9-9+y²-4y-4y+16-16-4=0

(x+3)²+(y-4)²-9-16+16-4=0  (x+3)²+(y-4)²=13

By comparing with the general form we can see that the coordinate of the center of the circle will be {-3,4)

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Answer: 32

Step-by-step explanation:

f(6) = 6^2-4 = 36-4 = 32

Answer:

Step-by-step explanation:

Those are the special triangles 45-45-90 and 30-60-90

6. y = 5 and x = 5sqrt(2)

7. y= 8 and x = 8sqrt(3)

8. x = 10sqrt(2)

Answer:

Step-by-step explanation:

US=26

SV=UV=[tex]\frac{26}{2}[/tex] (diagonals of parallelogram bisect each other)

UV=13

To find a certain part of the arc:

   ⇒ we find a fraction of the circumference

Based on the diagram and information given:

         ⇒ which spans 116 degrees of the entire 360 degrees the whole

             arc covers

Thus let's solve:

  [tex]Length_.of_.arc = (\frac{116}{360})*(2*\pi *14)[/tex] ≈ [tex]28.34_.meters[/tex]

Answer: 28.34 meters

Hope that helps!

Answer:

   41. (2) x² - 3x - 4 =0

Step-by-step explanation:

Question 41

Standard form of polynomial

Answer:

(2)  [tex]x^2-3x-4=0[/tex]

Step-by-step explanation:

Standard form of a quadratic equation:  [tex]ax^2+bx+c=0[/tex]

When factoring a quadratic (finding the roots) we find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex], then rewrite [tex]b[/tex] as the sum of these two numbers.

So if the roots sum to 3 and multiply to -4, then the two numbers would be 4 and -1.

[tex]\implies b=1+-4=-3[/tex]

[tex]\implies ac=1 \cdot -4[/tex]

As there the leading coefficient is 1, [tex]c=-4[/tex].  

Therefore, the equation would be:  [tex]x^2-3x-4=0[/tex]

Proof

Factor  [tex]x^2-3x-4=0[/tex]

Find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].

The two numbers that multiply to -4 and sum to -3 are:  -4 and 1.

Rewrite [tex]b[/tex] as the sum of these two numbers:

[tex]\implies x^2-4x+x-4=0[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies x(x-4)+1(x-4)=0[/tex]

Factor out the common term  [tex](x-4)[/tex]:

[tex]\implies (x+1)(x-4)=0[/tex]

Therefore, the roots are:  

[tex](x+1)=0 \implies x=-1[/tex]

[tex](x-4)=0 \implies x=4[/tex]

So the sum of the roots is:  -1 + 4 = 3

And the product of the roots is:  -1 × 4 = -4

Thereby proving that  [tex]x^2-3x-4=0[/tex]  has roots whose sum is 3 and whose product is -4.

Answer: B) 6.5

Step-by-step explanation:

   We will use the Pythagorean theorem to solve. The "c" variable is the hypotenuse and the other variables are the legs.

a² + b² = c²

3.6² + b² = 7.4²

12.96 + b² = 54.76

b² = 41.8

b = [tex]\sqrt{41.8}[/tex]

b ≈ 6.5

     The length of the missing side is about B) 6.5.

Answer:

B)6.5

Step-by-step explanation:

H²=P²+B²

7.4²=3.6²+B²

B=√41.8

B=6.465≈ 6.5

Answer:

the b believes in me

Step-by-step explanation:

B)75km  etc

   1hr

[tex]\frac{75 \text{ km}}{1 \text{ hr}} \times \frac{1000 \text{ m}}{1 \text{ km}} \times \frac{1 \text{ hr}}{60 \text{ min}} \times \frac{1 \text{ min}}{60 \text{ sec}}[/tex]

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

Explanation:

We'll use the following facts (either memorized or written on a reference sheet somewhere)

Each of those equations will form conversion factors to help us go from km/hr to m/s. Each conversion factor is a fraction connecting the two sides of the equation. Example: The equation 1000 m = 1 km forms the conversion factor of [tex]\frac{1000 \text{ m}}{1 \text{ km}}[/tex]

In choice B, notice how the fractions are set up. The "km" units cancel when dividing. The same goes for the "hr" and "min" units.

Check out the screenshot below where I show this cancellation in action. The color-coding helps show how the terms pair up and cancel.

Choice A comes close to what choice B is saying, but we don't have the "min" units cancel. So choice A is eliminated as an answer.

Choices C and D are also eliminated because of the "75 km" in the denominator. It should be 1 km.

Answer:

you didnt put anything

Step-by-step explanation:

This is a matched pairs design because both types of tread were randomly assigned to each vehicle.

The term matched pairs design has to do with the situation in which participants are randomly assigned to an experiment or a control group. For each participant assigned to an experimental group, another is assigned to the control group.

Thus, this is a matched pairs design because both types of tread were randomly assigned to each vehicle.

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Answer:

251,991 tons of ore are need to obtain 126 tons of gold.

Step-by-step explanation:

Step-by-step explanation:

there is no image here. and we don't know, if B is smaller or lager than A.

anyway, the volume of a sphere is

4/3 × pi × r³ = 4/3 × pi × r×r×r

that means the scale factor applying to r (radius) has to be multiplied in 3 times (with every r). so, to compare the volumes, the volume scale factor is cubed the linear scale factor.

44³ = 85184

if B is smaller, then its volume is 50/85184 m³

if B is larger, then its volume is 50×85184 m³

since this a such a big number, you made possibly a typo with the scale factor.

The volume of sphere B, the image of sphere A after dilation by a scale

factor of 44, is approximately 1,223,762.42 cubic meters.

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Since, The volume of a sphere is given by the formula:

V = (4/3) pi r

where V is the volume, pi is the constant 3.14.., and r is the radius of the sphere.

Since, sphere A has a volume of 50 cubic meters, we can use this formula to solve for its radius:

50 = (4/3) pi r

r = (3/4)  (50 / pi)

r = (3/(4pi) 50)^(1/3)

r = 2.67 meters

Note that we know,

The radius of sphere A, we can use the scale factor of 44 to find the radius of sphere B:

rₐ = 44  rₓ

rₐ = 44 × 2.67

rₐ = 117.48 meters

Finally, we can use the volume formula again to find the volume of sphere B:

V(B) = (4/3) pi rₓ

V (B) = (4/3) pi (117.48)

V (B) = 1,223,762.42 cubic meters

Therefore, the volume of sphere B, the image of sphere A after dilation by a scale factor of 44, is approximately 1,223,762.42 cubic meters.

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Answer:

90

Step-by-step explanation:

Formula : 180 ( n - 2 ) / n         n being the amount of sides

180 ( 4 - 2 ) / 4 = 90

Answer:

4/5

Step-by-step explanation:

Answer:

9 x 11 = 99

Step-by-step explanation:

if the number 11 is being multiplied by is under 10 its just that number twice.

11x1 = 11

11x2 = 22

11x3 = 33

ya know?

Answer:

Alice's age = 5 years

Malice's age = 5 years

Bob's age = 5+8 =13 years

Step-by-step explanation:

Let x be the age (in years of Alice and Malice (They have the same age because they are twins).

Age of Bob: x+8  (because he is 8 years older than the twins).

Then the sum of their three ages is 23:

x (Alice's age) + x (Malice's age) +(x+8 ) (Bob's age)= 23

2x + ( x+8) = 23

3x+8 = 23

3x = 15

(3x)/3 = 15/3

x = 5

So ...

Alice's age = 5 years

Malice's age = 5 years

Bob's age = 5+8 =13 years

There are 10 number of 1 cubic inches box required to fill the container completely.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

We have:

A prism with a length of 4 inches, height of 4 inches, and width of 3 inches.

The volume of the prism box = 4×4×3 = 48 cubic inches

Here some data are missing.

We are assuming there are 38 1 cubic inches box already in the big box.

So,

= 48 - 38

= 10

Thus, there are 10 number of 1 cubic inches box required to fill the container completely.

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Answer:

x+46

Step-by-step explanation:

x+46 because you do math and dont worry ive done this problem pls can you help me with my problem

What are polynomials?

Polynomials are mathematical expressions made up of many terms.

How to simplify a polynomial?

To simplify the maximum of a polynomial, you must group all like terms and rearrange them from highest to lowest power.

we solve ⇒ 4(-8x+5)-(-33x-26)

To distribute

add up the numbers

Combine like terms.

Multiply by 1.

Answer:

the answer is 14 hopes this helps

Step-by-step explanation:

Ac/b=?

-2(-12)=24/3

24/3=8

8-(a+d)=?

8-(-2(+-)4)=?

8-(-2-4)=?

8+2+4=?

10+4=?

14

The value of the given cone with a volume of 144 has a width is 6 inches.

We have given that,

A box of cereal has a volume of 144 inches squared.

The height of the cereal box is 12 inches, and the depth is 2 inches.

The volume of cone = 144 inches squared.

height=12 inches

depth=2inches

Area of a cube = V = L * W * H

L-length

W-width

H-height

We have to determine the width cereal box.

Plug the given values in the formula

V = L * W * H

144=2×12×width

Width=144/24

Width=6inches

Therefore the value of the width is 6 inches.

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Answer:

23.47 %      ( or .2347)

Step-by-step explanation:

780    is    20/50 = .4   for z score - .4

810     is    10/50 = .2       z-score = .2

 Use z-score table         .5793 - .3446 = .2347     23.47%

Tyler concludes that 5x² will always have a larger output for the same value of x.

Look at the graph below and the table given

Take a random value: x = 0

Here, 1 > 0, making 2^x > 5x²

Hence, 2^x is greater than 5x² at this point. making Tyler's point not applicable.

Disagree with Tyler's point.

No it won't be

Take x =9

But

Clearly 2^x surpasses 5x²

So Tyler is wrong