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katrin [286]
3 years ago
5

Find the area of a circle with a diameter of 14 meters. Round your answer to the nearest hundredth of a square meter. *

Mathematics
1 answer:
erica [24]3 years ago
3 0

Answer:

The area of the circle is 153.94m²

Step-by-step explanation:

radius = half of diameter

d = diameter

r = 14m / 2 = 7m

To solve this problem we need to use the area formula of a circle:

a = area

r = radius = 7m

π = pi

a = π * r²

we replace with the known values

a = π * (7m)²

a = π * 49m²

a = 153.93804 m²

Round to the nearest hundredth

a = 153.93804m²  = 153.94m²

The area of the circle is 153.94m²

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At the city museum, child admission is $5.20 and adult admission is $9.50. On Friday,133 tickets were sold for a total sales of
fredd [130]

Answer:

55 adult tickets were sold on Friday.

Step-by-step explanation:

A linear system will be used to model the system.

Let c be the number of child tickets and a be the number of adult tickets

Then according to given statements

a+c = 133\ \ \ \ Eqn\ 1\\9.50a+5.20c = 928.10\ \ \ Eqn\ 2

From equation 1

a = 133-c

Putting this in equation 2

9.50(133-c)+5.20c = 928.10\\1263.5-9.50c+5.20c=928.10\\1263.5-4.3c = 928.10\\-4.3c = 928.10-1263.5\\-4.3c=-335.4\\\frac{-4.3c}{-4.3} = \frac{-335.4}{-4.3}\\c = 78

Putting c = 78 in equation 1

a+78 = 133\\a = 133-78\\a = 55

Hence,

55 adult tickets were sold on Friday.

4 0
3 years ago
What is the value of h?
emmainna [20.7K]
The angle on one side of a straight line is 180°, so 40° + 60° + h = 180°.
If you rearrange this you will get h = 180° - 60° - 40°, this will give you: h = 80°.
Hope this helps
5 0
2 years ago
How do i get the answer to this? <br> 2g + 4g + 5g
IceJOKER [234]
If you add them together you will get 11g
5 0
3 years ago
Read 2 more answers
If using the method of completing the square to solve the quadratic
In-s [12.5K]

Answer:

100

Step-by-step explanation:

20/2= 10 and 10 squared is 100 but you have to move the -6 to the opposite side

4 0
3 years ago
The inside of tank is in the shape of a right rectangular prism. The base of the prism is 85 cm by 64 cm. What is the minimum he
Allisa [31]

Answer:

16.9 cm

Step-by-step explanation:

The volume of a prism = Area of base × height

For a rectangular prism, the base of the area = length × breadth

The volume of the liquid = 92 L

Since 1 L = 1000 cm³, 92 L = 92000 cm³

92000 = 85 × 64 × h

5440 h = 92000

h = 92000 ÷ 5440 = 16.9 cm

8 0
3 years ago
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