Solve for x in the following figure and choose the appropriate result.

Answer:

Step-by-step explanation:

1. Area of the composite figure = Area of the sector + Area of rectangle

Area of sector = (θ/ 360) x [tex]\pi[/tex][tex]r^{2}[/tex]

From the figure,

θ = 30, and r = 65

Area of sector = [tex]\frac{30}{360}[/tex] x [tex]\frac{22}{7}[/tex] x 65 x 65

                        = 1 1065.55[tex]m^{2}[/tex]

Area of rectangle = length x width

                        = 65 x 4

                       = 260 [tex]m^{2}[/tex]

Area of the composite figure = 1 1065.55 + 260

                                                  = 11325.55

Area of the composite figure is 11326 [tex]m^{2}[/tex].

2.

Circle sector is a section of a disk encompassed by two radii and an arc. The area of the composite figure is 29.9194 m².

A circular sector, also known as a circle sector or a disk sector, is a section of a disk encompassed by two radii and an arc, with the minor sector being smaller and the main sector being bigger.

[tex]\text{The area of the sector of the circle }= \pi r^2 \times \dfrac{\theta}{360^o}[/tex]

The area of the composite figure is the sum of the area of the sector of the circle and the area of the rectangle.

The area of the sector of the circle whose angle at the centre of the circle is 30°, while the radius of the circle is the length of the reactangle which is 5.5 cm.

[tex]\text{The area of the sector of the circle }= \pi r^2 \times \dfrac{\theta}{360^o}[/tex]

                                                        [tex]= \pi (5.5)^2 \times \dfrac{30}{360^o}\\\\=7.9194\rm\ m^2[/tex]

Thus, the area of the sector of the circle is 7.9194 m².

The area of the reactangle whose length is 5.5 inches while the width is 4 m.

[tex]\rm \text{Area of the rectangle} = Length \times width[/tex]

                                 [tex]= 5.5 \times 4\\\\= 22\rm\ m^2[/tex]

Thus, the area of the rectangle is 22 m².

Now, the total area of the composite figure can be written as,

Area of the composite figure = Area of the sector of circle+Area of rectangle

Area of the composite figure = 7.9194 +22 = 29.9194 m²

Hence, the area of the composite figure is 29.9194 m².

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Answer:

theres nothing to do in this problem because it is already in simplist form. the answer would just be -15x^2 - 9x^3

Step-by-step explanation:

Answer:

There isn’t anything to simplify the answer is the same

Step-by-step explanation:

Rule:

(xᵃ)ᵇ = x⁽ᵃ * ᵇ⁾

(x⁴)³ = x⁽⁴ * ³⁾ = x¹²

The simplified form of the given expression is needed.

The simplified form of the given expression is [tex]x^{12}[/tex]

Exponents are useful to condense a multiplication operation just by showing how many times to use the number in a multiplication.

The given term is [tex](x^4)^3[/tex]

It can be written as

[tex](x\times x\times x\times x)^3[/tex]

[tex]=(x\times x\times x\times x)(x\times x\times x\times x)(x\times x\times x\times x)[/tex]

[tex]=x^{12}[/tex]

or

[tex](x^4)^3=x^{4\times 3}=x^{12}[/tex]

Because [tex](x^a)^b=x^{a\times b}[/tex]

Learn more about exponents:

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Answer:

6 is the correct answer.

Step-by-step explanation:

answer= 8

I hope it's help uhh

Answer:

x = anything less than 17 (16, 15, 14, ...)

Step-by-step explanation:

I'm assuming this is a multiple choice/option question and you just didn't post the options so I'm being general with my answer to help you solve it on your own.

Answer:

225 ft^2

Step-by-step explanation:

From what we have in the question, we have 60 ft of fencing

To maximize the area, we will need to have a square

For a square, the length of all sides are equal

Let us call one of the sides s

Thus, from the perimeter of the square;

4s = 60

s = 60/4

s = 15 ft

The area is thus, the product of the side length of the square

15 * 15 = 225 ft^2

Answer:

1/6th

Step-by-step explanation:

Answer:

5√3

Step-by-step explanation:

Using Pythagoras theorem:

[tex]x=\sqrt{10^2-5^2}=\sqrt{75}=5\sqrt{3}[/tex]

Answer:

[tex]5 \sqrt{3} [/tex]

Answer:

its b

Step-by-step explanation:

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

Explanation:

Since x and y are in a proportional relationship, this means that y = kx. This is a direct variation equation.

k is the proportionality constant

To find k, we'll use any nonzero x and y pairing. Let's say we use the second row with x = -3 and y = 1

This leads to

y = kx

y/x = k

k = y/x

k = 1/(-3)

k = -1/3

Or we could use the third row to get

k = y/x

k = 2/(-6)

k = (1*2)/(-3*2)

k = -1/3

We get the same value of k for that row as well. I'll let you check the other rows. You cannot use the first row because dividing by zero is not allowed.

Since k = -1/3, this means y = kx updates to y = (-1/3)x which matches with choice A. So effectively, whatever the x input is, we multiply that by -1/3 to get the y output.

Multiplying by -1/3 is the same as dividing by -3. This means that y = (-1/3)x is the same as y = -x/3

Answer:

96

Step-by-step explanation:

Answer:

1,136 calories.

Step-by-step explanation:

1. Considering that there are 16 ounces in one pound, and the question is asking for one pound, I would think that there would only need to be 16 ounces observed.

2. Through calculations of the given number of oz, there are 71 calories per oz. By multiplying that by 16 (the number of oz in a lb), there are a total of 1,136 calories in a lb.

Answer:

$90 profit

Step-by-step explanation:

1375 - 1285 = 90

Answer:

90profit

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer: Yes, it is real.

Step-by-step explanation: Dough Jones plays the Bye Bye Man, and he is very real. Therefore, the Bye Bye man is real. If Jones were to die, the Bye Bye Man would die.

Answer:

[tex] \sqrt{6} [/tex]

Step-by-step explanation:

We first divide sqrt8 by to 2.

Next we multiply that by sqrt3

[tex] \sqrt{8} \ \div 2 \times \sqrt{3} [/tex]

Answer:

Choice C: They are not parallel. They are perpendicular. The line x = 2 is horizontal. The line y = 4 is vertical. A horizontal line is perpendicular to a vertical line

Step-by-step explanation:

The line y=4 is horizontal so, the line passes through (0,4) and its slope is 0

The line x=2 is vertical so, the the line passes through (2,0) and its slope is undefined since it’s a vertical line.

Vertical lines are perpendicular to horizontal lines, which make x=2 and y=4 perpendicular and not parallel

Answer:

Choice C: They are not parallel. They are perpendicular. The line x = 2 is horizontal. The line y = 4 is vertical. A horizontal line is perpendicular to a vertical line

Step-by-step explanation:

The line y=4 is horizontal so, the line passes through (0,4) and its slope is 0

The line x=2 is vertical so, the the line passes through (2,0) and its slope is undefined since it’s a vertical line.

Vertical lines are perpendicular to horizontal lines, which make x=2 and y=4 perpendicular and not parallel

Answer:

p = 4

Step-by-step explanation:

Answer:

p=4

Step-by-step explanation:

combine like terms

-6p=-24

divide

p=4

Answer:

The answer is 25 (5×5=25)

Answer: 25cm

Step-by-step explanation:

multiply 5 times 5

Answer:

Well t find the area of a triangle, you need to multiple Base x height. That gives you 43.56. Now you divide by 2. So the end product will give you 21.78. Those same rules apply to every time you are finding the area of a triangle.

Step-by-step explanation:

Answer: A

Step-by-step explanation: 7.8 x 4.4= 34.32 x .5= 17.16 = A

Answer:

-5/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-7)/(6-2)

m=-10/4

simplify

m=-5/2

Answer:

10-6=4

Step-by-step explanation:

Answer:

A) 8

Step-by-step explanation:

There are two ways you can solve this:

Pythagorean Theorem:

The Pythagorean Theorem states: [tex]a^{2} +b^{2} =c^{2}[/tex] and [tex]c^{2} -a^{2} =b^{2}[/tex] or [tex]c^{2} -b^{2} =a^{2}[/tex]. Sides a and b represent the legs of the right triangle. The side length c represents the hypotenuse. So, we need to find one of the legs (b) of the smaller triangle. To do this, we can use the equation:

Division/Proportion:

Line DH has two measures: 3 and 6. The total length of the line is 9. This means that triangle DHM has a side length of 9 compared to triangle FHK's side length of 6. Turn this into the ratio 9:6. Now divide 9/6 to get 1.5. This means that the larger triangle (DHM) is 1.5 times larger than the smaller triangle (FHK). To solve for side length b, divide 12/1.5 to get 8.

Note:

Hope it helps!

Answer:

no of brick=volume of wall/volume of brick=(10000×30×450)/((15×5×5)=135000000/375=360000.is your answer.

here

100m=10000cm

0.3m=30cm

4.5m=450cm

Answer:

1,4

Step-by-step explanation:

2 + 1 is 3. 3 + 4 is 7

3 + 1 is 4. 7 + 4 is 11. so it's 1 up and 4 across

Answer: 1/4

Step-by-step explanation:

rise y over run x