Find the area of the shaded region

Answer:

Step-by-step explanation:

just plug in c

6-20 = 4 - 3(6)

Answer:

Step-by-step explanation:

98.8

Answer:

99

Step-by-step explanation:

The angle of depression looking from the tower is the same as the angle of elevation looking at the top of the tower from the spot of the fire.  So, tan (12 degrees) = 21 / distance between the tower and fire.  Thus, the distance = 21 / tan(12).  

tan (12) = 0.2126

Distance = 21 / 0.2126 = 98.78

The question asks about the distance from the base to the fire (to the nearest foot.)  Thus, it is 99 feet.  

Answer: 0.30555555555

Step-by-step explanation:

Answer:

the difference between this too point time both of their codernite is zero

Answer:

I think X=3

Step-by-step explanation:

When adding fractions you have to find a common  denominator, the easiest way is to use the other number for it. So with \(\frac{x}{2}\) you would multiply the top and bottom by 6, and with \(\frac{x}{6}\) you would multiply both the top and bottom by 2. You should then have \(\frac{6x}{12}\)+\(\frac{2x}{12}\). You add the tops together which will leave you with 8x and the bottom stays the same. Then you multiply the the 2 by the 12, and when doing this the 12 will cancel out. leaving you with 8x= 24. Finally you divide 24 by 8 and X is 3.

The volume for the boxes that are held by Chris will be 80ft³.

Volume refers to the amount of space that a three-dimensional object occupies. It is typically measured in cubic units, such as cubic meters or cubic feet. The volume of an object can be calculated using various formulas depending on the shape of the object.

Volume is an important concept in many fields, including physics, engineering, and architecture. It is also used in everyday life, such as when measuring the amount of liquid in a container or determining the capacity of a storage space.

Volume = area of the base × height

V= L× w × h =B × h

The volume for one box = 1 1/3 × 10

                                     = 40/3 = 13 1/3

The volume for 6 boxes=  6 × 13 1/3 = 80 ft³

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Total Volume in cubic feet and express answer in mixed fraction

chris has 6 identical boxes. The rectangular base of each box has an area 1 1/3 ft 3. The height of each box is 10 inches. What is the total volume of all the boxes in cubic feet?

15 candy bars must be bought at the cost of $0.72 per piece to bring the average down to $0.80.

To find the number of candy bars needed to bring the average cost down to $0.80, we can use the formula for average:

(sum of costs)/(number of candy bars).

Let's denote the number of candy bars needed as x. We know that the sum of costs for the group of ten candy bars is 10 * $0.89 = $8.90.

To bring the average down to $0.80, the sum of costs for the x candy bars must be (10 * $0.89 + x * $0.72).

Now we can set up the equation:

(10 * $0.89 + x * $0.72)/(10 + x) = $0.80.

Simplifying this equation, we get:

8.9 + 0.72x = 0.8(10 + x).

Solving for x, we find that x = 15.

Therefore, 15 candy bars must be bought at the cost of $0.72 per piece to bring the average down to $0.80.

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complete question:

A group of ten candy bars has an average cost of $0.89 per candy bar. How many bars must be bought at the cost of $0.72 a piece to bring the average down to $0.80?

Answer:

1185 10/30 square feet

Step-by-step explanation:

Area of a rectangle = length * width

Given

Length = 25 2/5 feet

width = 46 4/6

Substitute into the formula;

Area = 25 2/5 * 46 4/6

Area = 127/5 * 280/6

Area = 35,560/30

Area = 1185 10/30

Hence the area of the rectangle is 1185 10/30 square feet

Answer

Option D is the pair of functions which is not a pair of inverse function.

Explanation

First of, the inverse of a function is a function that reverses the actions of the function. That is, for the inverse function, if we are given f(x), we would be able to obtain x.

The step to finding a function's inverse is to write y instead of f(x). We then rewrite by replacing the y by x and then make y the subject of formula, the y which is a subject of formula now, represents the inverse function, f⁻¹(x).

For each of them, we can get the other one from it.

f(x) = (x + 1)/6

y = (x + 1)/6

x = (y + 1)/6

Cross multiply

6x = y + 1

y = 6x - 1

g(x) = 6x - 1

f(x) = (x - 4)/19

y = (x - 4)/19

x = (y - 4)/19

19x = y - 4

y = 19x + 4

g(x) = 19x + 4

f(x) = x⁵

y = x⁵

x = y⁵

y = 5√x

g(x) = 5√x

Only option D doesn't give the inverse of the other function.

Hope this Helps!!!

The correct answer is C) 0.167, which is the closest option to the calculated probability. To determine the probability of having a number greater than 4 on the dice and exactly 1 tail, we need to consider all the possible outcomes and count the favorable outcomes.

Let's first list all the possible outcomes:

Coin 1: H (Head), T (Tail)

Coin 2: H (Head), T (Tail)

Dice: 1, 2, 3, 4, 5, 6

Using a tree diagram, we can visualize the possible outcomes:

```

     H/T

    /   \

 H/T     H/T

/   \   /   \

1-6   1-6  1-6

```

We can see that there are 2 * 2 * 6 = 24 possible outcomes.

Now, let's identify the favorable outcomes, which are the outcomes where the dice shows a number greater than 4 and exactly 1 tail. From the tree diagram, we can see that there are two such outcomes:

1. H H 5

2. T H 5

Therefore, there are 2 favorable outcomes.

Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes) = 2 / 24 = 1/12 ≈ 0.083

Therefore, the correct answer is C) 0.167, which is the closest option to the calculated probability.

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Answer:

B.

Step-by-step explanation:

You can't have the same X values for two different Y values

in this case 19 goes with 11 and 10 in the pairs (19,11) and (19,10)

When a right rectangular prism is sliced by a plane passing through five of the six faces of the prism, the resulting cross section is a pentagon.

A right rectangular prism has six rectangular faces, and when a plane passes through five of these faces, it cuts across them in a way that forms a pentagon. The shape of the resulting cross section will depend on the angle and orientation of the plane in relation to the prism, but it will always be a five-sided polygon.

It is important to note that the cross section resulting from the slicing of a right rectangular prism will have the same dimensions as the prism itself, with the exception of the depth, which will depend on the angle and orientation of the plane. This means that if the prism has dimensions of length, width, and height, the resulting cross section will have length and width equal to those of the prism, but a different depth.

Overall, the resulting cross section of a right rectangular prism that is sliced by a plane passing through five of its six faces will be a pentagon, with dimensions that are proportional to those of the original prism.

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Answer:

The answer is a

Step-by-step explanation:

Answer:

13.5

Step-by-step explanation:

That is the mean between 6 & 21

Answer:

60mm

Step-by-step explanation:

240*1/4=60mm

Answer:

40 mm

Step-by-step explanation:

Given information:

To find the length of the children's shoes, multiply the length of the adult shoes by the scale factor:

\(\begin{aligned}\implies 240 \times \dfrac{1}{6}&=\dfrac{240 \times 1}{6}\\\\&=\dfrac{240}{6}\\\\&=\dfrac{40 \times 6}{6}\\\\&=40\; \sf mm\end{aligned}\)

Therefore, the length of the children's shoes is 40 mm.

Answer:

10

Step-by-step explanation:

3x + 5y

Let x= -5 and y =5

3(-5) + 5(5)

Multiply first

-15 +25

Then add

10

Answer:

Alternate interior angles.

17x + 6 = 18x - 1.

x = 7.

Step-by-step explanation:

According to the diagram below, the angles are alternate interior angles.

Since they are alternate interior angles, they are congruent. So, 17x + 6 = 18x - 1.

17x + 6 = 18x - 1

18x - 1 = 17x + 6

x = 7

Hope this helps!

Answer:

Step-by-step explanation:

If the zero occur when x={5, -2, -1} then the equation must be

(x-5)(x+2)(x+1) if expansion is desired

(x^2-3x-10)(x+1)

x^3+x^2-3x^2-3x-10x-10

x^3-2x^2-13x-10

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\(p = 2 \times (( - 3x - 5) + (3 - 4x)) \\ \)

Collect like terms

\(p = 2 \times ( - 7x - 2)\)

\(p = - 14x - 4\)

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\(p = 66\)

Thus ;

\( - 14x - 4 = 66\)

Add sides 4

\( - 14x - 4 + 4 = 66 + 4\)

\( - 14x = 70\)

Divide sides by -14

\( \frac{ - 14x}{ - 14} = \frac{70}{ - 14} \\ \)

\(x = - \frac{7 \times 10}{7 \times 2} \\ \)

\(x = - \frac{5 \times 2}{2} \\ \)

\(x = - 5\)

Done...

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Answer:

Y=-1

Step-by-step explanation:

Y-5=3-9y-18

y+9y=3-18+5

10y=-10

y=-1

there is the answer ................................

Answer:

slope=-2

Step-by-step explanation:

7-3/0-2=

4/-2=

-2

The equation of the circle is (x + 2)² + (y + 5)² = 25.

Given information that the circle is tangent to the x-axis at (-2,0), which means the center of the circle have to be directly above or below this point.

So, the x-coordinate of the center is -2.

Now, because the center of the circle is on the line y = 3x + 1, then we can find the y-coordinate as follows:

y = 3(-2) + 1

y = -5

Thus, the center of the circle is (x, y) = (-2, -5). This means the distance between the center and the point (-2, 0) is 5 units. It is the circle's radius.

Now we can write the equation of the circle:

(x − h)² + (y − k)² = r²

(x + 2)² + (y + 5)² = 25

Hence, the equation of the circle will be (x + 2)² + (y + 5)² = 25.

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Although part of your question is missing, you might be referring to this full question: The center of a circle lies on the line y = 3x + 1 and is tangent to the x-axis at (−2,0). What is the equation of the circle in standard form?

Answer:

A = 60 degrees

C = 8 m

Step-by-step explanation:

Whenever we are faced with a geometry problem, and we have a right-angled triangle within the problem, we are to remember Pythagoras' Law first, and the fact that a right-angled triangle always has an angle that measures 90 degrees.

We will also need to know that the sum of the angles in a triangle is 180 degrees.

Therefore, angle A will be = 180 - (90 +30) = 60 degrees

From Pythagoras' Law, we can see that \(c= tan 30 \times 8\sqrt{3} =8\)

therefore, line c = 8m

ANSWER

B) y = 1/2x - 6

EXPLANATION

We have that the line passes through (6 -3) and has a slope of 1/2.

To find the point-slope form of the equation, we have to use the formula:

where m = slope = 1/2

(x1, y1) = (6, -3)

So, we have:

y - (-3) = 1/2 (x - 6)

y + 3 = 1/2 x - (1/2 * 6)

y + 3 = 1/2 x - 3

=> y = 1/2x - 3 - 3

y = 1/2x - 6

The answer is Option B

Answer:

y=9

Step-by-step explanation:

The portable Bluetooth speaker is designed as a cylinder with hemispheres. The maximum volume is achieved when the radius is 5 cm, resulting in a length of 140 cm and a maximum volume of 38,500 cm³.

To find the volume (V) of the speaker, we need to consider the volume of the cylinder and two hemispheres. The expression for V is V = πr²I + (4/3)πr³. The surface area of the speaker is given by the equation 4πr² + 2πrI. Using the design constraint I = 150 - 2r, we can substitute this into the volume expression to get V = 150r - 2r³ + (250 - 2r²)πr². To find the maximum volume, we differentiate V with respect to r and set it equal to zero.

Solving for r, we find r = 5. Substituting this back into the expression for I, we get I = 140. Therefore, when r = 5 cm, the speaker has maximum volume. The length of the cylinder for which V is a maximum is 140 cm. By plugging r = 5 and I = 140 into the volume expression, we find the maximum value of V to be 38,500 cm³. Thus, the shape of the speaker with the best quality of sound is a cylinder with hemispheres, where the radius is 5 cm and the length of the cylinder is 140 cm.

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