The diagram shows a regular octagon.
Not drawn
accurately
The base line of the octagon is extended.
Work out the size of angle y.

Answer:

6.82

Step-by-step explanation:

15/11=x/5

(15/11)5=6.81818181818

Answer:

uniform width around the landing pad = 9.41 feet

Step-by-step explanation:

Length of landing pad = 80 ft

width of landing pad = 50 ft

Length of safety zone = (80 + 2w)

width of safety zone = (50 + 2w)

Total area = 10800 [tex]ft^{2}[/tex]

Area of landing pad = length x width

                                  = 80 x 50

                                  = 4000 [tex]ft^{2}[/tex]

Area of landing pad = 4000 [tex]ft^{2}[/tex]

Thus,

area of safety zone = total area - area of landing pad

                                 = 10800 - 4000

                                 = 6800

area of safety zone = 6800 [tex]ft^{2}[/tex]

But,

area of safety zone = length x width

6800 = (80 + 2w) x (50 + 2w)

6800 = 4000 + 160w + 100w + 4[tex]w^{2}[/tex]

divide through by 4,

1700  = [tex]w^{2}[/tex] + 65w + 1000

⇒ [tex]w^{2}[/tex] + 65w + 1000 - 1700 = 0

[tex]w^{2}[/tex] + 65w -700 = 0

Applying the quadratic formula,

w = (-b ± [tex]\sqrt{b^{2} -4ac}[/tex]) ÷ 2a

a = 1, b= 65 and c = -700

w = (-65 ± [tex]\sqrt{(65)^{2}-(4*1*-700) }[/tex]) ÷ 2

   = (-65 ± [tex]\sqrt{7025}[/tex]) ÷ 2

   = (-65 ± 83.82)÷ 2

w = (-65 + 83.82) ÷ 2 OR (-65 - 83.82) ÷ 2

   = 18.82 ÷ 2 OR -148.82 ÷ 2

   = 9.41 OR -74.41

Thus, w = 9.41 ft.  

Answer:

Down below :) Hope this helps!

Step-by-step explanation:

To divide fractions, you have to flip the second fraction.

For example, 2/3 divided by 1/2 is the same thing as 2/3 x 2/1, you have to flip the second fraction. When you do this, your answer will be 4/3 or 1 1/3.

Answer:

i would multiply the 2 numerators first then the 2 bottom numbers or i would factor it by a common denominatior which is 6

Step-by-step explanation:

Answer:

120kg, 72kg and 8kg

Step-by-step explanation:

Given the ratios 15:9:1

total ratio = 15+9+1 = 25

For the ratio of 15

Share = 15/25 * 200

Share = 3000/25

Share = 120kg

For the ratio of 9

Share = 9/25 * 200

Share = 1800/25

Share = 72kg

For the ratio of 1

Share = 1/25 * 200

Share = 200/25

Share = 8kg

Answer:

Rectangle

Step-by-step explanation:

2 pairs of parallel sides. 4 right angles (90°). Opposite sides are parallel and congruent. All angles are congruent.

Answer: you have it right x is greater than 4 also it could be the line

Step-by-step explanation:

Answer:

the slope is undefined

Step-by-step explanation:

Answer:

Step-by-step explanation:

(8 + 13)/(17-17) = 21/0 = undefined

Answer:

22.6

Step-by-step explanation:

15-1   8-15

14^2     7^2

196+49

245

15.6

Answer:

slope is 5/1

Step-by-step explanation:

y=mx+b

m=slope

Answer:

The slope is 5.

Step-by-step explanation:

Y is the y-axis. 5 is the slope. X is the x-axis. -1 is the y-intercept.

Answer:

This graph is linear, the degree of x does not exceed 1 and the graph forms a line.

Step-by-step explanation:

Answer:

the answer to your question is 7.5

Answer:

C) Adjacent angles

Step-by-step explanation:

Adjacent angles are two angles that have a common vertex and a common side but do not overlap

also complementary is 90 degree so No

Vertical are opposite so No

Corresponding are on parallel lines so No

Answer:

x = 50/9

hope it's helpful ❤❤❤

THANK YOU.

Answer:

Well, for triangle rectangles, we have the relations:

Cos(A) = (adjacent cathetus)/(hypotenuse)

Sin(A) = (opposite cathetus)/(hypotenuse)

Tan(A) = (opposite cathetus)/(adjacent cathetus)

Where the adjacent cathetus is the cathetus that is adjacent to the angle, the opposite cathetus is the one that is opposite to the angle, and the hypotenuse is the side that is opposite to the 90° angle.

Here we want to solve 3 to 9.

3) We want to find values sin(D) and sin(E) in that triangle.

Remember the above relationship for the sin function, here will have:

sin(D) = 12/15 = 0.8

sin(E) = 9/15 = 0.6

4)

Sin(E) = 12/37 = 0.3243

Sin(D) = 35/37 = 0.9459

5)

Sin(E) = 45/53 = 0.8491

Sin(D) = 28/53 = 0.5283

6)

Remember that: Sin(A) = (opposite cathetus)/(hypotenuse)

In the image, 5 is the adjacent cathetus to the angle A, and the opposite cathetus to angle A is the one in front of it, 12, then the equation should be:

Sin(A) = 12/13

Now we should use the cosine relationship:

Cos(A) = (adjacent cathetus)/(hypotenuse)

7)

Cos(X) = 27/45 = 0.6

Cos(Y) = 36/45 = 0.8

8)

Cos(X) = 15/17 = 0.824

Cos(Y) = 8/17 = 0.4706

9)

Cos(X) = 13/26 = 0.5

Cos(Y) =  (13*√3)/26 = 0.866

Answer:

median is 32 and the mean is 21

Answer:

11m

Step-by-step explanation:

Answer:

45 degrees

Step-by-step explanation:

Answer:

60 degrees

Step-by-step explanation:

The full angle is supplementary (180 degrees) so you just do

180-(90+30)

180-120

x=60

Answer:

149.5km/s

Step-by-step explanation:

speed= distance/time

distance= 299km

time=2hours

speed=299/2

speed=149.5km/h

Answer: 149.5 km/h or 92.58 mph

Step-by-step explanation:

Divide 299/2 to get the Kilometers Per Hour= 149.5

In Miles Per Hour it's about 92.584308 Miles per Hour.

Answer:

It is true.

Step-by-step explanation:

Answer:

m EAD = 56

m EDA = 35

x = 4

Step-by-step explanation:

In a parallelogram, the diagonals bisect each other. This means that AE and EC are equal. To find x, simply set 2x + 3 = 11, and solve.

2x + 3 = 11

2x = 8

x = 4

Additionally, since the sides of a parallelogram are parallel, BC + AD are parallel, as are AB + DC. This make ECB + EAD and EBC + EDA opposite interior angles (have same measure). Thus, since we know ECB = 56 and EBC = 35, EAD also = 65 and EAD also = 35

[tex]{ \huge{ \green{ \underline{ \frak{Question}} \colon}}}[/tex]

[tex]{ \large{ \pink{ ⇝ \: \rm{To \: \: Find \: \: \bigg (4.9 \div \dfrac{1}{10} \bigg)}}}}[/tex]

[tex]{ \huge{ \purple{ \underline{ \frak{Answer}} \colon}}}[/tex]

[tex]{ \large{ \red{➢ \: \: \rm{4.9 \div \dfrac{1}{10} }}}}[/tex]

[tex]{ \large{ \orange{ ➢ \: \: \rm{4.9 \times 10}}}}[/tex]

[tex]{ \large{ \blue{➢ \: \: \bf{ \boxed{\bf{49 }}\: \: Ans.}}}}[/tex]

Answer:

AYEEEEEEEEEEEEEEEEEEEE

Step-by-step explanation:

Answer: The Doctor's.

Step-by-step explanation:

Claire's estimate was simply that, an estimate. The doctor's measurement on the other hand is the actual height of her brother because he actually got measured.

This means that the doctor's measurement is more accurate and would make more sense to be used.

Answer:

C=-2

Step-by-step explanation:

Plus 14 to both sides then divide both side by -5

Answer:

jayfeather friend me

Step-by-step explanation:

$203,904

What amount would you have if you deposited $1,800 a year for 30 years at 8 percent (compounded annually)? $1,800 113.28 = $203,904 (TVM Table-Page 41) 5.

Answer:

2³ · 7

Step-by-step explanation:

Answer:

2x2x2x7

Step-by-step explanation:

56

^  

2   28

   ^

2      14

     ^

2           7