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if 1 inch on the map is 18 miles, then 4 inches would just be 18 * 4 = 72 miles.

hope this helped! please let me know if you are confused about anything i did 

Thank you!

.80  P  =  4.00    where P is  the door price

P =  4.00 /   .80     =  $5

T  * .24 =    360         where T is the  number planted 

T =  360   / .24  

T =   1500  were planted

Note  that  ABC   is  a 6 - 8 -10   right triangle  with AB  = 10

Also note  that triangle ADC  is similar to triangle  ACB

Therefore

AD/ AC =  AC / AB       so

AD / 6  = 6/ 10           cross-multiply

10*AD  =  6 * 6

810*AD   = 36

AD  = 36 /  10  =    3.6  =  x

Pct  increase   =

[ New Value - Old Value  ]  /   Old Value  x  100%     .....so....

[ 40000 - 25000 ]  / 25000  x  100%  =

[375000 ]  /25000  x 100%

15  x 100 %   =  

1500 %     increase

a)  $36  must  be  30%   of  the original  cost

So

.30C  =  36    where C is the original cost

C  = 36  / .30  =   $120  original cost

b)  Actual cost  to her before  taxes = 120  -30   = $90

90 * (1.15)  = $103.50  =   total cost to her after taxes

all the angles in a triangle add up to 180.

so, following that, we can create this equation:

6x + 2x + 2x = 180

10x = 180

x = 18

and we know angle C is 2x, so angle C = 2(18) = 36 degrees.

hope this helped! please let me know if you are still confused 

n^2   must    be  factored  as     a^2 * b^2  * c^2

So  n  must   be  factored  as  ( a^2 * b^2 * c^2)^(1/2)  =  a  * b * c

So   n   has   (1+1)  * ( 1 + 1) * (1 + 1)   =   8  divisors

an exterior angle in a triangle is always the sum of the other two interior angles. 

since angle YXZ is on the same line as the 150 degree angle, we can conclude that angle YXZ is 180 - 150 = 30.

and since angle XZW is the exterior angle, we can determine that angle XZW is 65 + 30 = 95.

hope this helped! sorry if my explanations weren't too good. please let me know if you are confused about anything i did.

for this question, i believe we need to calculate 26% of 46. 

26% of 46 is (26*46)/100, which is 1196/100.

1196/100 = 11.96, so about 11 of the volunteers were retired, i think.

hope this helped! please let me know if my answer / logic is incorrect :)

200 +  6M  =  500  -  6M       rearrange  as

6M + 6M =   500  -  200

12M  =  300

M  = 300  / 12   =      25  (minutes)

(33 - 11)  / 33  =  22  / 33  =   2/3  = 66.6%

the perimeter of the countertop would be 

1.5 + (7-3) + 7 + 4 + 3 + (4 - 1.5) = 1.5 + 4 + 7 + 4 + 3 + 2.5 = 22.

for the area, we can divide the shape into two rectangles.

the area of the smaller rectangle would be 1.5 * (7 - 3) = 1.5 * 4 = 6.

the area of the larger rectangle would be 3 * 4 = 12.

so, the area of the countertop is simply 12 + 6 = 18.

hope this helped! sorry if my explanations weren't too clear. i hope you can follow what i did above. feel free to ask any questions! :)

The  ladder  length will form the  hypotenuse of a right triangle

The  distance  from the  bldg will form one  leg

The  height  will form the other

Usiing  the Pythagorean Theorem

Height = sqrt  [ 17^2  - 8^2  ]   =  sqrt [  289 - 64 ]  =   sqrt [225 ]   =  15  ft

if Raj paid 35.00 for 4 meters of fabric, that means he paid 35/4 = 8.75 dollars for each meter of fabric.

so, for 6.5 meters of fabric, Raj would pay 8.75 * 6.5 = ~56.88 dollars.

hope this helped! please let me know if you have any questions. 

6^2 + 8^2  =  10^2

can you look at the other post I did 

eight sided polygon sum of interior angles =   ( 8-2)(180) = 1080 degrees

   130    +    101    +    x+26   ......   + 151 = 1080     solve for x

a) -4t^2 +32t  +80 = 0  divide by -4

    t^2 - 8t -20 = 0

    (t-10)(t+2) = 0

                                   t = 10   t = -2

b.)     x = between the zeroes = 4

         y =    -4(4^2) + 32(4) + 80 = ..........

c)   h= 0      when ball hits ground     0 = - 4t^2 + 32t + 80    sove for 't'   throw out negative value

d)   see c answer above

e) put t= 0 ito the equation to find the height of the cliff = 80 m

we can use Pythagoren theorem for this one. 

20^2 - 16^2 = h^2 (h is the height of the screen).

400 - 256 = h^2

144 = h^2

h = 12

hope this helped! please let me know if you are confused about anything i did :)

never mind, the answer was \(\sqrt{913}\)

Aww thank you. :))

=^._.^=

a) 24 meters is equal to 2400 centimeters.

so the average speed for the fastest pole clime is \(\frac{2400}{10.75}\) = ~ 223.3 centimeters per second.

b) the average speed would be \(\frac{888}{4.88} \) = ~182 centimeters per second.

so the average speed for question a is greater.

hope this helped! please let me know if you are confused about anything i did :)