Answer:
9/35
Step-by-step explanation:
There are a total of 15 bulbs to choose from randomly. First a new bulb is chosen. Chance is 9/15 because 9 out of 15 are new.
Then there are only 14 bulbs left. Then a used bulb is chosen. Chance is 6/14 since 6 out of remaining 14 are used.
Total chance for this to happen is 9/15 * 6/14 = 54/210 = 9/35.
Answer: 3^15
Step-by-step explanation:
Explained in attached picture. Hope you'll find it easy to understand. If not, you can comment :)
we know that
Perimeter of a triangle is equal to
P=a+b+c
where
a,b and c are the length sides of the triangle
<u>Find the perimeter of the triangles</u>
<u>Triangle N 1</u>
P=(x-2)+(x)+(3x+1)-------> P=5x-1
<u>Triangle N 2</u>
P=(2x-5)+(x+4)+(6x-7)------> P=9x-8
equate the perimeters
5x-1=9x-8--------> 9x-5x=-1+8-------> 4x=7
x=7/4------> x=1.75
therefore
the answer is
x=1.75
Answer:
The length of the flagpole be 41.2 ft .
Option (A) is correct .
Step-by-step explanation:
As given
The angle looking up at the sun is 70°.
A flagpole casts a shadow of 15 ft .
Now by using the trignometric identity .



BC = 15 ft
tan 70° = 2.75 (Approx)

AB = 2.75 × 15
= 41.2 ft
Therefore the length of the flagpole be 41.2 ft .
Option (A) is correct .
Distance formula : d = sqrt (x2 - x1)^2 + (y2 - y1)^2
(-5,8)(10,-7)
d = sqrt (10 - (-5)^2 + (-7 - 8)^2
d = sqrt (10 + 5)^2 + (- 15^2)
d = sqrt (15^2) + (-15^2)
d = sqrt 225 + 225
d = sqrt 450
d = 21.21