All categories

3 years ago

Question 3 (4 points)

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

3 0

Answer:

a. 9,416.9 mm²

Step-by-step explanation:

Given:

Circumference of a sphere = 172 mm

Required:

Surface area of the sphere rounded to nearest tenth

Solution:

First, we need to determine the radius of the sphere since we know the circumference.

Circumference = 2πr

Plug in the value of the circumference

172 = 2*π*r

Divide both sides by 2π

172/2π = r

86/π = r

r ≈ 86/π

Next, find the surface area of the sphere

Surface area = 4πr²

plug in the value of r

Surface area = 4*π*(86/π)²

= 4*π*86²/π²

= 4*7,396/π

= 9,416.87967

≈ 9,416.9 mm² (nearest tenth)

You might be interested in

MOney mONey money if you see it claim it free points :) better say thank you on my pf or i will hunt you when i die

SSSSS [86.1K]

Answer:

Thank you

Step-by-step explanation:

But bet will you hunt me

6 0

3 years ago

Read 2 more answers

HELP PLEASE!! MARKING BRAINLEIST

PolarNik [594]

One of them is -6 the other one would be 6

7 0

3 years ago

A ladder is leaning up against a house. The ladder is 20 feet long and the base of the ladder is 12 feet away from the house. Ho

MrRa [10]

Answer:

16 feet

Step-by-step explanation:

The length of the ladder=20 feet

Distance from the base of the ladder to the house = 12 feet

You will notice that a wall is vertical and the ladder makes an angle with the horizontal ground(making it the hypotenuse). This is a right triangle problem.

To find the how far up the house can the ladder can reach, we simply find the third side of the right triangle.

From Pythagoras theorem

$Hyp^2=Opp^2+Adj^2\\20^2=12^2+Adj^2\\Adj^2=400-144\\Adj^2=256\\Adj=\sqrt{256}=16$

The third side of the right triangle is 16. Therefore the ladder leans 16 feet from the ground.

8 0

3 years ago

Read 2 more answers

Lin deposited $300 in a savings account that has a 2% interest rate per year. How much is in her account after 1 year? After 2 y

leonid [27]

Answer:

Step-by-step explanation:

Lin after 1 year has 300+2*300/100=300+6=306 $

after 2 years has 306+2*306/100=306+6.12=312.12$

150-15*150/100=150-22.5=127.5 $ the price for the bicycle

6 0

3 years ago

Read 2 more answers

A scale on a blue print drawing of a house shows that 10 1010 centimeters represents 2 22 meters. What number of actual meters a

Ivenika [448]

Answer:

On Blue print 18 centimeters represents <u>3.6 meters</u>.

Step-by-step explanation:

Given:

Scale is 10 cm = 2 m

We need to find the number of actual meters are represented by 18 1818 centimeters on the blue print.

Solution:

Now we know that;

10 cm = 2 m

so 1 cm = Number of meters in 1 cm.

By using Unitary method we get;

Number of meters in 1 cm = $\frac{2}{10}=0.2\ m$

Now we know that;

1 cm = 0.2 m

18 cm = Number of meters in 18 cm.

Again by using Unitary method we get;

Number of meters in 18 cm = $0.2\times 18 = 3.6\ m$

Hence On Blue print 18 centimeters represents <u>3.6 meters</u>.

7 0

3 years ago