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Elena-2011 [213]
3 years ago
12

What is the area of the triangle? 9 4 12

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
7 0

Answer:

  13.636

Step-by-step explanation:

The area can be found using Heron's formula:

  A = √(s(s-a)(s-b)(s-c))

where s=(a+b+c)/2.

For the given triangle, ...

  a=9, b=4, c=12, s=(9+4+12)/2 = 12.5

  A = √(12.5(3.5)(8.5)(0.5)) = √185.9375 ≈ 13.636

The area of the triangle is about 13.636 square units.

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Dracula's bill at the restaurant was $54.83. He left a tip of 15%.
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15% as a decimal is 0.15

Multiply the amount of the bill by the percentage:

54.83 x 0.15 = 8.22

The tip was $8.22

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Four spheres of a radius 6cm just fit inside a cylinder
aksik [14]

Answer:

The space left inside the cyclinder =36π(h - 24)

step-by-step explanation:

Radius of sphere = 6cm

Diameter of cylinder = 12cm

Radius of cylinder = d / 2 = 12 /2 = 6cm

Formula for volume of a sphere = 4/3 πr³

Formula for volume of volume of a cylinder = πr²h

r = radius

h = height

The volume of one sphere = 4/3πr³

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But radius of the sphere = 6cm

Volume of the sphere = 4 * π * 6³

Volume of the sphere = 864π

Let the space left in the cylinder = x

The space left in the cylinder (x) = volume of the cylinder - total volume of the spheres

x = πr²h - 4πr³

Note : both radius = 6cm and we can just substitue it

x = πr² (h - 4r)

x = π*6² (h - 4*6)

x = 36π (h - 24)

The space left inside the cylinder = 36π(h - 24) since we don't know the value of the height of the cylinder.

6 0
3 years ago
It was recently estimated that females outnumber males by about three or two. If there are 1770 people in a county, how many of
max2010maxim [7]

GIVEN

1) Females outnumber males by 3 to 2.

2) There are 1770 people in the city.

SOLUTION

Let the number of males be x and the number of females y. Therefore, the total number of people can be written to be:

x+y=1770\text{   -----------(1)}

If there are 3 females for every 2 males, we have that:

\begin{gathered} \frac{y}{3}=\frac{x}{2} \\ \therefore \\ x=\frac{2y}{3}\text{   ----------(2)} \end{gathered}

We can substitute equation (2) into equation (1) and solve for y:

\begin{gathered} \frac{2}{3}y+y=1770 \\ \frac{2y+3y}{3}=1770 \\ 5y=1770\times3 \\ 5y=5310 \end{gathered}

Dividing both sides by 5, we have

y=1062

There are 1062 females in the county.

3 0
1 year ago
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