Roller radius 12.5 cm turns at 5 seconds per second. What is the linear velocity of the roller in meters per second

Find the length of the shorter leg of a right triangle with the longer leg is 9 feet more than the shorter leg the hypotenuse is

Jobisdone [24]

Answer:

Length of Shorter leg = 27 feet

Length of Longer leg = 36 feet

Length of Hypotenuse = 45 feet

Step-by-step explanation:

Given:

Let,

Length of Shorter leg = x,

According to the given condition we have

∴ Length of Longer leg = x + 9 feet

∴ Length of Hypotenuse = 2x - 9 feet

To Find:

Length of Shorter leg = ?

Solution:

Now In Right Angle Triangle, By Pythagoras theorem we have

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

substituting the given values we get

$(2x-9)^{2} = (x)^{2}+(x+9)^{2}\\$

By using Identity (A ± B)² = A² ± 2AB +B² we get

$4x^{2} -36x+81=x^{2} +(x^{2} +18x+81)\\\\4x^{2} -2x^{2} -36x-18x=81-81\\\\2x^{2} -54x=0\\2x(x-27)=0\\2x=0 or x-27=0\\\therefore x\ cannot\ be \ zero\\\therefore x = 27 \feet$

Substituting x=27 we get

∴ Length of Longer leg = x + 9 =27 +9 = 36 feet

∴ Length of Hypotenuse = 2x - 9 = 2×27 -9 = 45 feet

7 0

3 years ago

A certain bacterial culture is multiplying in a culture dish, doubling in size every 6 minutes. It takes exactly an hour to fill

Anastaziya [24]

1 hours to fill the dish
for 1/2 of the dish
think
1/2 times 2=2/2=1 so therefor it takes 1 less doubling so

60 mins
1 less double
(double is 6 mins so )
60-6=54
the answe ris 54 mins or a

8 0

3 years ago

Gina decided to order some clothes from a catalog she ordered three pairs of jeans at $39 each for t-shirts at $15 each and 2 st

Blizzard [7]

39 times 3 and 15 times 3 then 27 times 2 then add together to get 216

4 0

3 years ago

HELPPP PLSSS 18. A triangle has verticesA(4,3), B(6,9) and C(2, -3). The triangle is rotated 90°

Mariulka [41]

Answer:

F and H are NOT true

Step-by-step explanation:

Rotation 90° CCW is represented by the transformation ...

(x, y) ⇒ (-y, x)

Then the rotated coordinates are ...

A(4, 3) ⇒ A'(-3, 4) . . . . . quadrant II

B(6, 9) ⇒ B'(-9, 6) . . . . . quadrant II

C(2, -3) ⇒ C'(3, 2) . . . . . quadrant I

The rotated figure will be congruent to the original, because rotation is a rigid transformation.

__

Consider the answer choices:

F: (-3, -4) is A' --- NOT true

G: triangles are congruent --- true

H: B is in quadrant III --- NOT true

J: (3, 2) is the coordinates of C' --- true

Both choices F and H are NOT true.

8 0

3 years ago

Richard can make 8 dough balls in two hours. If the amount of time is directly proportional to the number of dough balls, how ma

Sergio039 [100]

Answer:

4.5 hours

Step-by-step explanation:

8:2h = 18:x

8x = 18×2h

x = 36h/8

x = 4.5

hope this helps :)

8 0

3 years ago