What is the radius of an arc length of 8 m that measures 45°?

Allen is saving money to buy a video game that

N76 [4]

Answer:

6 week

Step-by-step explanation:

Just count is easy

6 0

2 years ago

A scoop of ice cream in the shape of a whole sphere sits in a right cone. the radius of the ice cream scoop is 2.5 cm and the ra

Alexxandr [17]

Answer:

(At least) 10 centimeters.

Step-by-step explanation:

The radius of the ice cream scoop is 2.5 cm and the radius of the cone is also 2.5 cm.

We want to determine the height of the cone such that it will fit all of the ice cream when it melts without any spilling.

First, we will find the volume of the ice cream scoop. The volume for a sphere is given by:

$\displaystyle V=\frac{4}{3}\pi r^3$

Since the radius is 2.5 cm, the volume of the full ice cream scoop is:

$\displaystyle V=\frac{4}{3}\pi (2.5)^3$

Use a calculator:

$V\approx 65.4498\text{ cm}^3$

The volume of a cone is given by:

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

The radius of the cone is 2.5 cm. Therefore:

$\displaystyle V=\frac{1}{3}\pi(2.5)^2h=\frac{1}{3}\pi(6.25 h)=\frac{6.25\pi}{3}h$

The volume of the cone should be equal to the volume of the scoop. So:

$\displaystyle 65.4498=\frac{6.25\pi}{3}h$

Solve for h:

$\displaystyle h\approx 65.4498\Big(\frac{3}{6.25\pi}\Big)=10\text{ cm}$

The height of the cone should be (at least) 10 cm.

4 0

2 years ago

Complete the square to rewrite the following equation. Identify the center and radius of the circle. You must show all work and

Vinvika [58]

Answer:

center = (2, -4)

radius = 4

Step-by-step explanation:

$\sf x^2-4x+y^2+8y=-4$

$\sf \implies x^2-4x+4+y^2+8y+16=-4+4+16$

$\sf \implies (x-2)^2+(y+4)^2=16$

Equation of a circle: $\sf (x-h)^2+(y-k)^2=r^2$

(where (h, k) is the center and r is the radius)

Therefore,

center = (2, -4)
radius = √16 = 4

3 0

2 years ago

Read 2 more answers

Use the inverse sine ratio when you know the length of a leg opposite the required angle. True or false

brilliants [131]

Answer:

False

Step-by-step explanation:

The function you use to find the angle will depend on the other information given. Regardless, finding the angle may involve the inverse sine function, not the inverse sine ratio.

_____

If you know the leg adjacent as well as the leg opposite, the inverse tangent function will be an appropriate choice.

5 0

3 years ago

If the expression is A= -7 and B= 3, what does -2b+a equal?

allsm [11]

-6-7=-13 because you take -2 and 3 you multiply equals-6 than add -7 and it well give you your answer

3 0

3 years ago