Question
A local event planner wants to cover a circular region with mud for an obstacle course. The region has a circumference of about 157 feet. The cost to cover 1 square foot with mud is $1.50. Approximate the cost to cover the region with mud. Round to the nearest ten dollars if necessary.

Answer:

25²×3is the equivalent answer

[tex] \huge\mathbb\orange{ANSWER} [/tex]

[tex] \mathsf \purple{6x + 9 = 45}[/tex]

[tex] \mathsf \pink{6x + 9 - 9 = 45 - 9}[/tex]

[tex] \mathsf \purple{6x = 36}[/tex]

[tex] \mathsf \pink{ \frac{6x}{6} = \frac{36}{6} }[/tex]

[tex] \mathsf \purple{x = 6}[/tex]

[tex] \mathbb\orange{Hope\: It\: Helps} [/tex]

The sin ratio will be helpful in finding the missing side length and the missing side length is 29.50 units.

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

We have a right-angle triangle in the figure in which:

Length of the hypotenuse = x unit

Length of the side opposite to the angle = 12

And the angle is given between sides adjacent to the angle to the hypotenuse = 24°

We know the:

[tex]\rm sin\theta = \frac{Side \ opposite \ to \ the \ angle}{hypotenuse }[/tex]

[tex]\rm sin24 = \frac{12}{x}[/tex]

[tex]\rm x = \frac{12}{sin24}[/tex]

x = 29.50 units

Thus, the sin ratio will be helpful in finding the missing side length and the missing side length is 29.50 units.

Know more about trigonometry here:

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Step-by-step explanation:

I don't understand this question

come again

Answer:

the answer is just ab

Step-by-step explanation:

dats what it is added up

The length of line segment AB is 12 inches for the given figure.

A secant is a straight line that touches a circle twice.

As per the given figure, we have

Secant segment  BD = (8+10) in.

External secant segment BC = 8 in.

Tangent segment = AB

When a secant segment and a tangent segment intersect at an exterior location, the square of the tangent segment's measure equals the product of the secant segment's and its external secant segment's measures.

So, AB² = BC × BD

Substitute the values in the above equation,

AB² = 8 × (8+10)

AB² = 8 × 18

AB² = 144

AB = 12

Thus, the length of line segment AB is 12 inches.

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The complete question has been attached below.

you take 99 divided by 22 = 4.5

I don't understand what exactly your teachers meaning so I would also suggest asking but the answer compered to everything I've learned in math would be 4.5.

have a good day/night!! :)

With a total of $49.50 one would be able to buy 12 DVDs in the video store

Given data

Required: the Number of DVDs that can be bought

The expression for find the number of DVDs is given as

Number of DVD = Total Amount/Cost per unit

Number of DVD = 49.50/4.25

Number of DVD =11.64

Hence $49.50 would buy approximately 12 DVDs

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Step-by-step explanation:

let kevein be x and daniel be y

x=4y (equation i)

x=6+y(equationii)

putting the value of x in equationii

4y=6+y

3x=6

x=2

The above attachment is the answer. Hope it helps?

Answer:

Yes

Step-by-step explanation:

It is a first-degree equation. Look at the exponents of each variable (x, y), they are not written because they are 1

Hope this helps

Answer:

the anwer is A cause jobs and industials had 96 percent and corperate profits after taxes doubled

Answer:

a

Step-by-step explanation:

world War 2 did in fact cause the United States to become the richest and most powerful

Answer:

It can

Step-by-step explanation:

For example, the GCF of 44 and 22 is 22.

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Here, We have given

We know that,

Area of triangle

[tex]{\sf{=}}{\sf{\dfrac{1}{2}}}{\sf{ {\times} base {\times} height }}[/tex]

Subsitute the required values,

[tex]{\sf{=}}{\sf{\dfrac{1}{2}}}{\sf{ {\times} 3 {\times} 6}}[/tex]

[tex]\sf{ = 3 {\times} 3 }[/tex]

[tex]\bold{ = 9 }[/tex]

Therefore,

Area covered by 4 right angled triangles

[tex]\sf{ = 4 {\times} 9 }[/tex]

[tex]\bold{ = 36}[/tex]

Now,

We have to find the area of the big square

We know that,

Area of square

[tex]\sf{ = Side {\times} Side }[/tex]

Subsitute the required values,

[tex]\sf{ = 9 {\times} 9 }[/tex]

[tex]\bold{ = 81 }[/tex]

Therefore,

The total area of shaded region

= Area of big square - Area covered by 4 right angled triangle

[tex]\sf{ = 81 - 36 }[/tex]

[tex]\bold{ = 45 }[/tex]

Hence, The total area of shaded region is 45 .

Here,

We have to find the area of non shaded region

According to the question

Let the hypotenuse of the given right angled triangle be x

Therefore,

By using Pythagoras theorem,

That is,

[tex]\sf{ (Perpendicular)^{2} + (Base)^{2} = (Hypotenuse)^{2} }[/tex]

Subsitute the required values

[tex]\sf{ (6)^{2} + (3)^{2} = (x)^{2} }[/tex]

[tex]\sf{ 36 + 9 = (x)^{2} }[/tex]

[tex]\sf{ x = \sqrt{45}}[/tex]

[tex]\bold{ x = 6.7 }[/tex]

That means,

We know that ,

Area of square

[tex]\sf{ = Side {\times} Side }[/tex]

Subsitute the required values,

[tex]\sf{ = 6.7 {\times} 6.7 }[/tex]

[tex]\bold{ = 44.89 \:\: or \:\: 44.9 }[/tex]

Therefore ,

Area of non shaded region

= Area of big square - Area of small square

[tex]\sf{ = 81 - 44.9 }[/tex]

[tex]\bold{ = 36.1 }[/tex]

Hence, The total area of non shaded region is 36.1 or 36 (approx) .

Here, we have to

The total area of the figure

= Non shaded region + Shaded region

[tex]\sf{= 36 + 45 }[/tex]

[tex]\bold{= 81}[/tex]

Hence, The total area of the given figure is 81 .

Answer:

The Height of the building would be 20 feet.

Step-by-step explanation:

1.) 1/8 = 2.5/X

2.) Answer: 20 Feet

3.) Cross Multiply

    - 1 inch is to 8 feet as 2.5 inches is to 20 feet.

Answer:

its 323 so you were right :) if 323 is your answer lol

Step-by-step explanation:

abs(T-50)=323 Where T is in degrees Kelvin.

abs () means absolute value.

So T=323 plus or minus 50

Answer:

its 2/6ths its only multiplied by 2

Step-by-step explanation:

Answer:

x=13

Step-by-step explanation:

2x-4 = 4x - 30

-4 = 2x - 30

26 = 2x

x = 13

Using the given linear function, it is found that the expressions are given by:

It is:

4x - 3y = 12.

To find y in terms of x, we isolate y, hence the expression is given by:

[tex]3y = 4x - 12[/tex]

[tex]y = \frac{4x}{3} - 4[/tex]

To find x in terms of y, we isolate x, hence the expression is given by:

[tex]4x = 12 + 3y[/tex]

[tex]x = \frac{3y}{4} + 3[/tex]

More can be learned about linear functions at https://brainly.com/question/24808124

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

Reason:

[tex]2^6[/tex] means we have 6 copies of "2" multiplied out as shown in choice B. That explains how A and B are the same, and we can say

[tex]2^6 = (2*2*2)*(2*2*2)[/tex]

The parenthesis are optional, but I find they're handy to count the '2's easier.

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

Now notice that

[tex]2^3 = 2*2*2[/tex]

So,

[tex]2^6 = (2*2*2)*(2*2*2)\\\\2^6 = (2^3)*(2^3)\\\\2^6 = (2^3)^2\\\\[/tex]

The last step is possible because we have two copies of [tex]2^3[/tex] multiplied together.

This shows that choice C is equivalent to A and B.

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

Lastly,

[tex]2^6 = (2*2*2)*(2*2*2)\\\\2^6 = (2*2)*(2*2)*(2*2)\\\\2^6 = (2^2)*(2^2)*(2^2)\\\\2^6 = (2^2)^3\\\\[/tex]

The jump to the last step is possible because we have three copies of [tex]2^2[/tex] multiplied together.

This shows choice D is equivalent to the others.

All four expressions are the same.

They represent different ways to say the same number. That number being 64.

The x-intercept of the function h(x) is when the function h(x) = 0

The x-intercept of the function is -2

From the question, the function is given as:

[tex]h(x) = 8 * \sqrt[3]{x - 6} + 16[/tex]

Set the function h(x) to 0, to calculate the x-intercept

[tex]8 * \sqrt[3]{x - 6} + 16= 0[/tex]

Subtract 16 from both sides of the equation

[tex]8 * \sqrt[3]{x - 6} +=-16[/tex]

Divide through by 8

[tex]\sqrt[3]{x - 6} =-2[/tex]

Take the cube of both sides

[tex]x - 6 =-8[/tex]

Add 6 to both sides

[tex]x =-2[/tex]

Hence, the x-intercept of the function is -2

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Answer:

-2

Step-by-step explanation:

The person above me explained it perfectly! Also, I got this answer correct on my test.

By using the cosine rule, we will see that the distance between the golfer and the hole is 69.7 yd.

Basically, we need to find the length of the missing side of the shown triangle.

So, one side measures 300yd, other side measures 275 yd, and the angle between these sides measures 13°.

Now we can use the cosine rule, where for sides a, b, and c, and angle A (A is the opposite angle to the side a) the rule says:

a^2 = b^2 + c^2 - 2bc*cos(A).

In this case we define:

Replacing that we get:

a^2 =  (300yd)^2 + (275yd)^2 - 2*(300yd*275yd)*cos(13°) = 4,853.94 yd^2

a = √(4,853.94yd^2) = 69.7 yd

So the distance between the golfer and the hole is 69.7 yd.

If you want to learn more about triangles, you can read:

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The approximate decimal value of tan(α) is -3.274, α intersects the unit circle at point (-0.292, 0.956)

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

A unit circle is a circle with a unit radius.

Given that:

The terminal side of angle α intersects the unit circle at point (-0.292, 0.956).

Hence:

tan(α) = (0.956 / -0.292) = -3.274

The approximate decimal value of tan(α) is -3.274, α intersects the unit circle at point (-0.292, 0.956)

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Answer:

  3072

Step-by-step explanation:

The number of cells is initially 3 and is multiplied by 2 every time t increases by 1/2 hour. This means the exponential function describing the number of cells can be written ...

  y = (initial value) × (growth factor)^(t/(growth period)

  y = 3 × (2^(t/(1/2)) = 3×2^(2t)

After 5 hours, the number of cells will be ...

  y = 3×2^(2·5) = 3×2^10 = 3×1024

  y = 3072

There are 3072 cells in 5 hours.

_____

Additional comment

The function could be simplified to ...

  y = 3×4^t

Answer: No

Step-by-step explanation:

If we don't know if the lines are parallel, we cannot conclude the angles are equal.

When two lines are parallel lines are intersected by a transversal, the corresponding angles formed are always equal in measure, and when the lines are not perpendicular the measure of the angle is not equal.

The intersecting lines (two or more) always meet at a single point. The intersecting lines can cross each other at any angle.

When two lines intersect each other, the two opposite pairs of angles formed are called vertically opposite angles.

If two parallel lines are intersected by a transversal, the corresponding angles formed are always equal in measure.

If the corresponding angles formed at the two intersections are congruent, the two lines will then be considered parallel.

The pair of corresponding angles always lies on the same side of a transversal.

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Answer:

(f+g)(x) = 5x - 1

Step-by-step explanation:

Let f(x) = 3x + 4 and g(x) = 2x - 5 find (f+g)(x)

f(x) = 3x + 4 and g(x) = 2x - 5, find (f+g)(x)

(f+g)(x) =

f(x) + g(x)

3x + 4 + 2x - 5 (combine like terms)

5x - 1

Therefore, (f+g)(x) = 5x - 1

Hope this helps!

Answer:

5x -1

Step-by-step explanation:

(3x + 4) + (2x - 5) = 3x + 4 + 2x - 5 = 3x + 2x + 4 - 5

5x - 1

Answer:

The 14th term is 8,192

Step-by-step explanation:

Well we can see that it is multiplying every next term by 2.

2nd term : 1*2 = 2

3rd term  : 2*2 = 4

4th term  : 4*2 = 8

So, we can simply carry out this process.

5th term  : 8*2 = 16

6th term  : 16*2 = 32

7th term  : 32*2 = 64

8th term : 64*2 = 128

9th term :  128*2 = 256

10th term : 256*2 = 512

11th term  : 512*2 = 1024

12th term : 1024*2 = 2048

13th term : 2048*2 = 4096

14th term : 4096*2 = 8192

The 14th term is 8,192

Answer:

8192

Step-by-step explanation:

The rate is x2. Multiplying to the 14th term gets to 8192.

hope this helps!

Original price be x

Discount price be y

The equation is

So

Answer:

3(f - 5) = 60

$25

Step-by-step explanation:

Let f = full price of rash-guard

Given:

Therefore, the equation you can use to find how much money each rash-guard costs at full price is:

3(f - 5) = 60

To calculate the full price of the rash-guard, solve the equation for f:

⇒ 3(f - 5) = 60

Expand:

⇒ 3f - 15 = 60

Add 15 to both sides:

⇒ 3f = 75

Divide both sides by 3:

⇒ f = 25

Therefore, the full price of each rash-guard is $25.

Answer:

[tex]\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\frac{4 \pi }{3} = \pi + \frac{\pi }{3}[/tex]

tan ([tex]\frac{4\pi }{3}[/tex]) = [tex]-\frac{\sqrt{3} }{2}[/tex] ÷ [tex](- \frac{1}{2} )[/tex]

= [tex]\sqrt{3}[/tex]

hope this helps and is right!! p.s. i really need brainliest :)

Answer: 12 inches

Step-by-step explanation: