5 over 12 hour = __

A cube-shaped tank that measures 4.64.6 meters on each side is full of water. If some water is drained to fill a cone with a hei

rusak2 [61]

Answer:

The amount of water left in the tank is approximately 58.1 cubic meters

Step-by-step explanation:

step 1

Find the volume of the a cube shape tank

The volume is equal to

$V=b^{3}$

we have

$b=4.6\ m$

substitute

$V=4.6^{3}=97.336\ m^{3}$

step 2

Find the volume of cone

The volume is equal to

$V=\frac{1}{3}\pi r^{2}h$

we have

$r=2.5\ m$

$h=6\ m$

$\pi =3.14$

substitute

$V=\frac{1}{3}(3.14)(2.5)^{2}(6)$

$V=39.25\ m^{3}$

step 3

Find the difference of the volumes

$97.336\ m^{3}-39.25\ m^{3}=58.1\ m^{3}$

3 0

2 years ago

A. Name 3 different angles which could have a reference angle of 20 degrees. How did you arrive at this answer?.

IgorC [24]

Answer:

Answer:a. Since 20° is in the first quadrant, the reference angle is 20° .

Answer:a. Since 20° is in the first quadrant, the reference angle is 20° .b. Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive. In other words, the reference angle is an angle being sandwiched by the terminal side and the x-axis. It must be less than 90 degree, and always positive.

Answer:a. Since 20° is in the first quadrant, the reference angle is 20° .b. Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive. In other words, the reference angle is an angle being sandwiched by the terminal side and the x-axis. It must be less than 90 degree, and always positive.c. The rays corresponding to supplementary angles intersect the unit circles in points having the same y-coordinate, so the two angles have the same sine (and opposite cosines).

hopefully,

Zara♡

8 0

2 years ago

Suppose x=18,y=24, and z=30 in the figure, which is not drawn to scale. Determine the following values. Enter exact answers (as

sammy [17]

Answer:

See explanation

Step-by-step explanation:

cos(θ)= 18/30 = 3/5

sin(θ)= 24/30 = 4/5

tan(θ)= 24/18 = 4/3

cos(ϕ)= 24/30 = 4/5

sin(ϕ)= 18/30 = 3/5

tan(ϕ)= 18/24 = 3/4

3 0

3 years ago

3(x-4) = 2(-2x + 1) this is confusing me

nata0808 [166]

Answer:

x = 2

Step-by-step explanation:

Distribute

3 (−4) = 2 (−2+1)

3 − 12 = 2 (-2x +1)

Distrubute again

3x - 12 = -4x + 2

Add twelve to both sides of the equation

Simpfly

3x = -4x + 14

Add 4x to both sides of the equation

simpfly

7x = 14

Divide both sides of the equation by the same term

Simpfly

x = 2

5 0

2 years ago

What’s the equation.

cestrela7 [59]

Answer:

c=42

s=30

Step-by-step explanation:

5 0

2 years ago

5 over 12 hour = ___ minutes