Help me please? Thanks!

A cylindrical cake with a height of 5 inches has a 30 degree slice removed. If the volume of the removed slice is 40 inches what

sesenic [268]

Answer: $5.52\ in.$

Step-by-step explanation:

Given

Height of cylindrical cake is $h=5\ in.$

$30^{\circ}$ slice is removed

Volume of the slice is $V=40\ in.^3$

Area of slice is

$\Rightarrow \dfrac{30^{\circ}}{360^{\circ}}\times \pi r^2\\\\\Rightarrow \dfrac{\pi r^2}{12}$

Volume of slice will be multiplication of area and height

$\Rightarrow V=A\times h\\\\\Rightarrow 40=\dfrac{\pi r^2}{12}\times 5\\\\\Rightarrow \pi r^2=\dfrac{40\times 12}{5}\\\\\Rightarrow r^2=\dfrac{40\times 12}{3.142\times 5}\\\\\Rightarrow r^2=30.55\\\Rightarrow r=5.52\ in.$

Hence, the radius of the cake is $5.52\ in.$

4 0

3 years ago

X^2+17x+50=0 to the nearest tenth.

goldenfox [79]

Answer: 2.1 Find the Vertex of y = x2-17x-50

Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 8.5000

Plugging into the parabola formula 8.5000 for x we can calculate the y -coordinate :

y = 1.0 * 8.50 * 8.50 - 17.0 * 8.50 - 50.0

or y = -122.250

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

How do you do 17 and 11/16 divided by 5

Afina-wow [57]

Answer:

3 & 43/80

Step-by-step explanation:

take 17 and 11/16 and turn it into a mixed number

you will get 283/16

keep, flip, change

so you will keep 283/16, flip the sign so you are multiplying instead of dividing, and then change the 5/1 to a 1/5

then just multiply straight across

you get 283/80

then simplify and get 3 and 43/80

8 0

3 years ago

PLEASE HELP!! solve |2x-2| ≥6.

Anastaziya [24]

<h3>Answer:</h3>

x ≤ -2 OR x ≥ 4

__________________________________________________________

<h3>Step-by-step explanation:</h3>

We are given the inequality:

|2x - 2| ≥ 6

Getting rid of the Modulus:

Since 2x-2 is in modulus:

|2x-2| = -(2x-2) OR 2x-2

(since the modulus of both these values is 2x-2)

Hence, our inequality can be written in 2 different ways:

2x-2 ≥ 6 (if 2x-2 ≥ 1)
-(2x - 2) ≥ 6 (if 2x-2 < 0)

__________________________________________________________

Solving these 2 inequalities:

Solving inequality 1:

2x - 2 ≥ 6

2x ≥ 8 [adding 2 on both sides]

x ≥ 4 [dividing both the sides by 2]

This is the solution of the inequality if: 2x-2 ≥ 0

Solving Inequality 2:

-(2x-2) ≥ 6

It can be rewritten as:

2 - 2x ≥ 6

2 ≥ 6 + 2x [adding 2x on both the sides]

-4 ≥ 2x [Subtracting 6 from both sides]

x ≤ -2 [Dividing both sides by 2]

This is the solution of the given inequality if: 2x-2 < 0

__________________________________________________________

Solution of the given Inequality:

Therefore, the solution of the given inequality |2x-2| ≥ 6 are:

x ≥ 4 (if 2x-2 ≥ 0)

x ≤ -2 (if 2x-2 < 0)

Hence, option C is correct!

6 0

3 years ago

HELP I'LL GIVE 50 POINTS IF YOU CAN HELP WITH THIS MATH QUESTION IMAGE BELOW...

Advocard [28]

Answer:

last one is the answer brother

5 0

2 years ago