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Answer:

tan 30 = height of building / 40

height = 40 × 1/√3=40/√3

or = 23.1 feet

Answer:

66

Step-by-step explanation:

Answer:

AE=90°

AED=140°

DBA=220°

0.48 per quart is better

Step-by-step explanation:

0.48x4=1.92 < 2.72

Answer:

it is the ratio of the length of the arc the angle forms÷the radius of the circle

Answer:

217 sqft

Step-by-step explanation:

the total area can be divided into 6 parts:

2 triangles, 2 rectangles(height 5, length 8) and 2 rectangles(height 7, length 8)

Therefore the area can be calculated as :

2* (1/2* 5*5) + 2*5*8+2*8*7 = 217 sqft

Answer:

77

Step-by-step explanation:

So first off, we know that those two triangles are congruent triangles, so those have the same measures. All angles have the same measures. We also know that all angles equal to 180 degrees.

So imagine putting them together:

So then you do 57+ 46=103

180-103=77

Hence the measure of z is 77 degrees

Answer:

600 sq mm

Step-by-step explanation:

I divided the shape into 2 shapes and found each shapes area and after that added both of its area to find the area of the above shape

area of rectangle= b x h

so, 15x30=450mm (square)

area of triangle= b x h (divided) 2

so, 10x30=300 (divided) by 2

= 150mm (square)

so, 450 (plus) 150= 600mm (square)

Answer:

360

Step-by-step explanation:

The area of the top surface of rectangular cabin walkway is given by the equation A = 360 feet²

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangular cabin be represented as A

Now , the initial length of the cabin = 30 feet

The initial width of the cabin = 24 feet

And , Mr. Smith plans to build a 3-foot-wide walkway around the outside of the cabin

So , the increased length of the rectangular cabin = 30 + 6 = 36 feet

The increased width of the rectangular cabin = 24 + 6 = 30 feet

Now , Area of Rectangle = Length x Width

Substituting the values in the equation , we get

Area of rectangular cabin A = 36 x 30

Area of rectangular cabin A = 1080 feet²

Now , the area of the cabin before increment of sides = 24 x 30

The area of the cabin before increment of sides = 720 feet²

So , the area of the walkway = 1080 - 720 = 360 feet²

Area of rectangular cabin walkway A = 360 feet²

Hence , the area of the rectangular cabin walkway is 360 feet²

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Answer:

Step-by-step explanation:

true or false

TRUE

Answer:

12

Step-by-step explanation:

3x-9=27

3x=36

x=12

Answer:

Any number both positive or negative.

y = {all numbers}

Step-by-step explanation:

Answer:Any number both positive or negative.

Step-by-step explanation:y=(all numbers)

Answer:

3/4 ft.

Step-by-step explanation:

2(8-2x)+2(4-2x)=18

16-4x+8-4x=18

-8x=18-24

-8x=-6

x=-6/-8

x= 3/4

The width of the border is 3/4.

The perimeter of rectangle is, P= 2(l + b).

Given:

length= 8 feet, width = 4 feet

2(8-2x)+2(4-2x)=18

16-4x+8-4x=18

-8x=18-24

-8x=-6

x=-6/-8

x= 3/4

Hence, the width of the border is 3/4.

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Answer:

1/64

Step-by-step explanation:

(2^3)^-2

= 1/((2^3)^2)

= 1/2^6

= 1/64

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Hope this helps! :) If so, please mark my answer as brainliest!

The right answer is 1/64

please see the attached picture for full solution

Hope it helps.....

Answer:

-13,1

Step-by-step explanation:

f(x)= (x+6)^2-49

When we find the zero's  we set f(x) =0

0= (x+6)^2-49

Add 49 to each side

49= (x+6)^2-49+49

49= (x+6)^2

Take the square root of each side

±sqrt(49) = sqrt((x+6)^2)

±7 = (x+6)

Subtract 6 from each side

±7-6 = (x+6-6)

±7-6 = x

7-6 =x               -7-6 =x

1=x                 -13=x

Answer:5/8 and 1/4

Step-by-step explanation:

The coordinates of point K can be given by (-1/4, 5/8).

Cartesian coordinates are the values on a graph that can be used to show the location of a point on the graph.

There are 4 lines between 0 and -1 on the x-axis which divide it into 4 equal parts.

Point K lies on the first line. This means that the x-coordinate of the point is -1/4.

There are 8 lines between 0 and 1 on the y-axis which divide it into 8 equal parts.

Point K lies on the fifth line. This means that the y-coordinate of the point is 5/8.

From this, we can understand that the coordinates of the point K on the graph can be given by (-1/4, 5/8).

Therefore, the coordinates of point K can be given by (-1/4, 5/8).

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Answer:

x = 5

y = - 3/2

Step-by-step explanation:

[tex]\left \{ {{2x-4y =4} \atop {x-2y=8}} \right.[/tex]

The augmented matrix is :

[tex]\left[\begin{array}{ccc}2&-4&4\\1&-2&8\\\end{array}\right][/tex]

Now; to Row operations

Swap row 2 to row 1

[tex]\left[\begin{array}{ccc}1&-2&8\\\\2&-4&4 \end{array}\right][/tex]

Multiply row 1 with 2 and add to row 2 ;

1(2) = 2

-2(2) = -4

8(2) = 16

2 +2  = 4

4 +(-4) = 0

16+ 4 =20

Now; we have:

[tex]\left[\begin{array}{ccc}1&-2&8\\\\4&0&20 \end{array}\right][/tex]

changing row 2 back to equation form:

4x + 0y = 20

4x = 20

x = 20/4

x = 5

substituting x = 5 in row 1

x - 2y = 8

5 - 2y = 8

-2y = 8 -5

-2y = 3

y = - 3/2

Answer:

Eg.y=3x

Step-by-step explanation:

Answer:

Eg.y=3x

Step-by-step explanation:

Answer:

the Gulf Coastal Plains, the Great Plains, the North-Central Plains and the Basin and Range.

Step-by-step explanation:

Answer:

5.74 = x

Step-by-step explanation:

(whole secant) * (external part) = (tangent)^2

(8+3) * 3 = x^2

11*3 = x^2

33 = x^2

Take the square root

sqrt(33) = sqrt(x^2)

5.744562647 = x

Round to the nearest hundredth

5.74 = x

Answer:

option B

Step-by-step explanation:

[tex]P(x =x) [{\frac{1}{6} ;x =1,2,3...6][/tex]

[tex]E (x) = \frac{6+1}{2} =\frac{7}{2} =3.5\\\\E(x)=3.5[/tex]

Given random experiment of tossing of 6 sided dice is follow above distribution

Therefore, suppose x₁, x₂ ...x₁₀ are 10 independent and indentical random variable which represent first 10 rolls

Average of first 10 rows equals

[tex]\bar x_1 =\frac{ \sum ^{10}_{i=1}xi}{10}[/tex]

[tex]E(\bar x_1)=\frac{ \sum ^{10}_{i=1}E(x_1)}{10} \\\\=\frac{10(3.5)}{10} \\\\=3.5\\\\E(\bar x_1) = 3.5----(1)[/tex]

now suppose ,

x₁₁,x₁₂, ...x₁₅ are 5 independent and identical random variable which represent last 5 roll

average of last 5 roll is

[tex]E(\bar x_2)= \frac{ \sum ^{5}_{i=1}xi}{5} \\\\= \frac{5 \times(3.5)}{5} \\\\=3.5[/tex]

Therefore,[tex]\bar x_1 - \bar x_2[/tex]

3.5 - 3.5 = 0

The mean [tex]\mu(\bar{x_1}-\bar{x_2})[/tex]  of the sampling distribution of the difference in sample means [tex](\bar{x_1}-\bar{x_2})[/tex] is 0 and this can be determined by using the formula of the average mean.

Given:

The average mean of the first ten rolls is given by the formula:

[tex]\rm E(\bar{x_1}) = \dfrac{\sum^{10}_{i=1}(x_1)}{10}[/tex]

Now, put the values of known terms in the above equation.

[tex]\rm E(\bar{x_1})=\dfrac{10\times 3.5}{10}[/tex]

[tex]\rm E(\bar{x_1})={3.5}[/tex]

The average mean of the remaining five rolls is given by the formula:

[tex]\rm E(\bar{x_2}) = \dfrac{\sum^{5}_{i=1}(x_i)}{5}[/tex]

Now, put the values of known terms in the above equation.

[tex]\rm E(\bar{x_1})=\dfrac{5\times 3.5}{5}[/tex]

[tex]\rm E(\bar{x_1})={3.5}[/tex]

Now, [tex](\bar{x_1}-\bar{x_2}) = 3.5 - 3.5 = 0[/tex].

The mean [tex]\mu(\bar{x_1}-\bar{x_2})[/tex]  of the sampling distribution of the difference in sample means [tex](\bar{x_1}-\bar{x_2})[/tex] is 0.

For more information, refer to the link given below:

https://brainly.com/question/16217700

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Work Shown:

[tex]\frac{3}{x^2-9} + \frac{5}{x+3}\\\\\frac{3}{x^2-9} + \frac{5(x-3)}{(x+3)(x-3)}\\\\\frac{3}{x^2-9} + \frac{5x-15}{x^2-9}\\\\\frac{3+5x-15}{x^2-9}\\\\\frac{5x-12}{x^2-9}\\\\\frac{5x-12}{(x+3)(x-3)}\\\\[/tex]

The idea is to get the denominators to be the same to the LCD (lowest common denominator). Note in step 2, I multiplied top and bottom by (x-3) to get this done. Then in step 3, I used the difference of squares rule to get x^2-9. Afterward, we can combine the fractions and like terms.

Answer:

i think is B.

Step-by-i step explanation:

Answer:

I may be wrong, but I believe it is 4/6 = 6/9. I am so so so sorry if it is wrong.

Step-by-step explanation:

Answer:

Point B is equal to cos(160)

Step-by-step explanation:

160 deg is 160 deg counter-clockwise angle from +x-axis.

Hope this helps!

:)

Answer:

x coordinate of point B

Step-by-step explanation:

yw

Answer:

a=2/3

Step-by-step explanation:

3(4a+1)+3a=13

12a+3+3a=13

15a+3=13

15a=10

a=2/3

Answer:

-2

Step-by-step explanation:

Just plug -2 into the a spots and them do the math.

Hopes this helps.

Answer:

18

Step-by-step explanation:

3x + (z + 2y) - 12, if x = 3, y = 8 and z= 5.

3*3 + (5+2*8) - 12

9 + (5 + 16) - 12

9 + 21 - 12

30 - 10 - 2

20 - 2

18

Answer:

18

Step-by-step explanation:

First what you would do is plug in the numbers.

3x3+(5+2x8)-12

Then you would multiply 2 times 8 and get 16. Then add 16 and 5 and get 21.

3x3+(21)-12

Then you add 3 times 3 and get 9.

9+21-12

Then you solve left to right. Then you add 9 and 21 and get 30. Last you subtract by 30 by 12 and get 18.

Answer:

The answer is: A. The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.

Step-by-step explanation:

Hope this helped :)

Answer:

A

Step-by-step explanation:

Answer:

you need a d/protector to do this

Step-by-step explanation: