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muminat

Answer:

$\approx19.16$

Step-by-step explanation:

To find the surface area of a cone, one uses the following formula,

$A=(\pi)(r)(r+\sqrt{h^2+r^2}})$

Where (r) is the radius of the base of the cone, and (h) is the height of the cone, ( $\pi$ ) represents the numerical constant (3.1415...). In order for this formula to work, one needs the height of the cone. This can be found using the Pythagorean theorem. One can form a right triangle with the base's radius, the side length, and height of the cone, then solve for the height of the cone. The Pythagorean theorem states the following,

$a^2+b^2=c^2$

Substitute,

$a^2+(1)^2=(5.1)^2$

Simplify,

$a^2+1=26.01$

Inverse operations,

$a^2=25.01\\a\approx5$

Now one can use the formula to find the surface area of a cone, substitute in the given values, and solve,

$A=(\pi)(r)(r+\sqrt{h^2+r^2}})$

Substitute,

$A=(\pi)(1)(1+\sqrt{5^2+1^2}})$

$A=(\pi)(1+\sqrt{25+1})\\A=\pi(1+\sqrt{26})\\A\approx 19.16$

6 0

3 years ago

1 Mrs. Castro has 100 spoon and 80 forks if she put them in buckets what is the biggest number of spoon or forks that bucket wil

Yuri [45]

Answer:

10

Step-by-step explanation:

Here, we want to get the biggest number of spoon or forks that the bucket will have

What we have to do here is to simply find the greatest common factor of 100 and 80

Finding the greatest common factor of both will

give the biggest number of spoon or forks that the bucket will have

Mathematically, the greatest common factor of 80 and 100 is 10

3 0

3 years ago

Chemist has an empty cylinder with a height of 30 cm and a cone shaped flask. The flask is the same height and a base that is th

Nookie1986 [14]

It fills the cylinder up to 10 cm.

The volume of a cylinder is given by the formula
V = πr²h, where r is the radius of the base and h is the height of the cylinder.

The volume of a cone is given by the formula
V = 1/3πr²h, where r is the radius of the base and h is the height of the cylinder.

Since the base of the flask and the cylinder are the same, this means r is the same number in both formulas.
Since the height of the flask and the cylinder are the same, this means h is the same number in both formulas.

This means that the only difference in the formulas is that the formula for the cone flask is 1/3 the formula for the cylinder.

The water that fills the cone flask will fill 1/3 of the cylinder; 1/3(30) = 10

3 0

4 years ago

Read 2 more answers

Help me plz need smart people

Genrish500 [490]

The answer to 9 is 87.

The answer to 10 is x=91, y=89, and z=31

Mark as branliest plz

8 0

3 years ago

Read 2 more answers

On a certain hot summer's day, 435 people used the public swimming pool. The daily prices are $ 1.50 for children and $ 2.50 fo

Rufina [12.5K]

#1 1.5x + 2.5y = 884.50

#2 x + y = 435

Remember, x represents the children and y represents the adult

The first equation represents the cost of tickets, while the second one represents the number of people.

Find x in equation #2 & plug it into equation #1.
(usually choose easiest equation to solve first, but it's your preference)

x + y = 435
x = 435 - y. ***

Use the equation*** above and plug it into equation #2.

Plugging in x, to solve for y:

1.5(x) + 2.5y = 884.50

1.5(435 - y) + 2.5y = 884.50

652.50 - 1.5y + 2.5y = 884.50
(subtract 652.50 from both sides)

-1.5y + 2.5y = 232

y = 232

Solve for x using equation #2 (or whichever you prefer) and plug in y.
x + y = 435
x + 232 = 435
(subtract 232 from both sides)

x = 203

There were 203 children and 232 adults at the pool that day.

5 0

3 years ago