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den301095 [7]
2 years ago
6

A circular tabletop has a circumference of 94.2 inches. What is its approximate area?

Mathematics
1 answer:
MrRa [10]2 years ago
3 0

Answer:

1st choice : 706.5 square inches

Step-by-step explanation:

circumference is pi times diameter

divide 94.2 by pi to get diameter = 29.9847912785

diameter 29.9847912785 divided by 2 is

14.9923956393 which is the radius

area is pi times radius times radius again

pi times 14.9923956393 times 14.9923956393 =

706.141834613

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If x = 8 units, y = 3 units, and h = 10 units, find the area of the trapezoid shown above using decomposition.
kondaur [170]
If by decomposition you mean breaking it ino parts then

break it itno 2 triangles and 1 rectangle

left to right

triangle with base y and height h
h=10
y=3
area of traignel=1/2bh
aera=1/2(10)(3)
area=5(3)
area=15

rectangel of legnth x and height h
area=legnth timwe width
x=8
h=10
area=8 times 10
aera=80


last triangle
should be same as other sinces same base (y) and same height (h)
15

add
15+80+15=120
8 0
3 years ago
Read 2 more answers
A museum has an aquarium in the shape of a right rectangular prism that is 6 1/4 feet long, 7 1/5 feet wide, and 4 1/2 feet high
Evgesh-ka [11]

Answer:

Volume = 202.5 cubic feet

Step-by-step explanation:

Given that the aquarium is in the shape of a right rectangular prism in which

Length L = 6 1/4 feet

Width W = 7 1/5 feet

Height H = 4 1/2 feet

Volume = L × B × H

Volume = 25/4 × 36/5 × 9/2

Volume = 5 × 9 × 4.5

Volume = 202.5 cubic feet

4 0
3 years ago
PLS HELPPPPP<3tyyyyyy this is due today! so please helppp tysmmm and have a great night or morning! :) (spam)
Eduardwww [97]

Answer:

3. 4 meters

6. wrong, it should be 7000 meters

7. 2 dm > 10 cm

8. 30 cm = 3 dm

9. 6 km > 5000 m

10. 8 m < 90 dm

Step-by-step explanation:

__________

6 0
3 years ago
Read 2 more answers
Solve the following quadratic function by utilizing the square root method. f(x) = 1 - x2 x = + [?]
faltersainse [42]

Answer:

Step 1) y=16-x2. Swap the sides so that all terms of the variables are on the left side. Step 2) 16-x_{2}=y. Subtract 16 from both sides. Step 3) -x_{2}=y-16 Divide the two sides by -1. Step 4). \frac{-x_{2}}{-1}=\frac{y-16}{-1} Dividing by -1 undoes the multiplication by -1. Step 5). x_{2}=\frac{y-16}{-1} Step 6) dived y-16 by -1 And the final answer = x_{2}=16-y

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Determine if the ordered pair (6, 4) is a solution to the inequality
kvasek [131]

Answer:

A

Step-by-step explanation:

all we need to do is to plug the point (6,4) in the inequality and see if it satisfies it :

pay attention that here we have x=6  y=4

4<\frac{3}{4} (6) - 3

we simplify we get :

4<4.5-3  

4<1.5  which is incorrect  so (6,4) is not a solution. moreover

notice that 4 is > than 1.5  so the point lies above the line

thus the answer is : A

you can also solve this problem by graphing the line y=\frac{3}{4} x-3  and plotting the point (6,4)  and hence you will notice that the point is above the line

5 0
3 years ago
Read 2 more answers
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