A scale drawing of an office space uses a scale of 1 in : 5 yd. The scale drawing has an area of 12 square inches. What is the area of the actual office space

Answer:

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

3x + 6 = 5x - 10

-2x = - 16

minus,minus cancel

x = 16/2

x = 8

Answer:

8

Step-by-step explanation:

3x+6=5x-10

6=2x-10

2x=16

x=8

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:

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:

$1125

Step-by-step explanation:

you can see on the y graph that the highest point it reaches is more than 1100 dollars so it is $1125.

Step-by-step explanation:

hbbuijiiiiiiidontttttknowwwwsorryyyyyyyyyyyy

Answer:

3

Step-by-step explanation:

x> 1

i hope it helps you ❤️❤️❤️

Answer:

Please refer the below attachments.

Hope it helps

Please mark me as the brainliest

Thank you

Answer:

your answer is 0.4

Step-by-step explanation:

you can look for persentage calculators in

Answer:

Let the percentage be x%

[tex]x\% \: of \: 9000 = 36 \\ \frac{x}{100} \times 9000 = 36 \\ 90x = 36 \\ x = \frac{36}{90} \\ \boxed{x =0. 4}[/tex]

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:

-5/2

Step-by-step explanation:

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

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

m=-10/4

simplify

m=-5/2

Answer:

B

Step-by-step explanation:

B/ y - 4 = 4/3(x - 6)

The value of the expression  [tex]3\frac{1}{8}[/tex] + [tex]1\frac{2}{3}[/tex] ÷ 2/3 × 5/12 is 17.25 and value of  [tex]1\frac{1}{4} +2\frac{1}{2} -1\frac{3}{4}[/tex] is 2.

A fraction represents a part of a whole.

The given expression is [tex]3\frac{1}{8}[/tex] + [tex]1\frac{2}{3}[/tex] ÷ 2/3 × 5/12

( [tex]3\frac{1}{8}[/tex] + [tex]1\frac{2}{3}[/tex])/2/3× 5/12

(25/8+5/3)/(10/36)

(75+40/24)/(5/18)

115/24×18/5

2070/120

17.25

Now  [tex]1\frac{1}{4} +2\frac{1}{2} -1\frac{3}{4}[/tex]

Convert mixed fraction to improper fraction

5/4+5/2-7/4

LCM of 4, 2 is 4

(5+10-7)/4

8/4

We get 2

Hence, the value of the expression  [tex]3\frac{1}{8}[/tex] + [tex]1\frac{2}{3}[/tex] ÷ 2/3 × 5/12 is 17.25 and value of  [tex]1\frac{1}{4} +2\frac{1}{2} -1\frac{3}{4}[/tex] is 2.

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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:

The sale price of the vehicle is $36885

Step-by-step explanation:

One particular model had a sticker price of $49,180 when it was new. This means that the initial cost of the car was $49,180. It has just been marked down by 25%. This means the initial price of the car was reduced by an amount. The amount by which the initial price of the car was reduced would be

25/100 × 49180 = 0.25 × 49180 = $12295.

The sale price of the vehicle would be

49180 - 12295 = $36885

Answer:

11 in.²

Step-by-step explanation:

you can divide the shape into 2 rectangles and then you solve for the 2 rectangles and then you add them up.

Answer:

I think it is $585.95.

Step-by-step explanation:

Answer:

Zero Property of Addition

Step-by-step explanation:

Click the heart button, will you?

Answer:

Additive Identity Property

Answer:

A)90/100 x 500

C) C.0.90 x 500

Step-by-step explanation:

You can't with B since 90/10 doesn't account for percentage

Brainliest pls

The answer is H-16! Hope this helps! :-)

Answer:

F:64

Step-by-step explanation:

64 divided by 4 is 16.

Answer:

the bananas cost 3.00 apples cost 5.00

answer overall

3.3

Step-by-step explanation: sample a is 2.9 sample b is 3.5 sample c is 3.2 sample d is 3.6

overall its 3.3

I don't  know about the range so sorry

Answer: pretty sure it is linear

Step-by-step explanation:

Answer:

C. 3/4

Step-by-step explanation:

Using the SOH CAH TOA identity;

tan theta = opposite/adjacent

From the diagram

Opposite = x

Adjacent = 12

tan <B  = x/12

Since cot <B = 1/tan <B

cot <B = 12/x

Get x using pythagoras theorem

x² = 20²-12²

x² = 400 -144

x² = 256

x = 16

Hence cot <B = 12/16

cot <B =3/4

This question is incomplete

Complete Question

If the measurement of a central angle is 5pi/6, find the length of its intercepted arc in a circle with a radius of 15 inches

a 33.4 inches

b. 35.6 inches

C. 37.5 inches

d. 39.3 inches

Answer:

d. 39.3 inches

Step-by-step explanation:

We are to find the Arc length of the circle

To solve the above question, the formula is given as:

Arc length = Central angle × radius

From the above Question, we are given:

Central angle = 5pi/6 = 5π/6

Radius = 15 inches

Hence,

Arc length = 5π/6 × 15 inches

Arc length = 235.61944901923448/ 6

Arc length = 39.26990817 inches

Approximately , the Arc length

= 39.3 inches.

Therefore, Option d is the correct answer.