A square rug covers 79 feet of rug what is the approximate lengh of the rug

A homeowner is building a circular fire pit in his backyard. He plans to outline the pit with bricks and cover the space inside

saw5 [17]

Answer:

1) the exact distance = 9.428571429 feet

the approximate distance = 9.4 feet

2) the exact area = 7.071428571 ft^2

the approximate area = 7 ft^2

Step-by-step explanation:

Required diameter d = 3 feet

1) The distance around the outside of the pit is the circumference of the circle that will be formed by this circular fire pit.

circumference of a circle is given as = πd = $\frac{22}{7}$ x 3 = 9.428571429 feet

the exact distance = 9.428571429 feet

the approximate distance = 9.4 feet

2) The area of the circle that will be formed = $\pi d^{2}/4$ = $\frac{22 *3^{2} }{7*4}$ = 7.071428571 ft^2

the exact area = 7.071428571 ft^2

the approximate area = 7 ft^2

5 0

3 years ago

Jenny multiplies the square root of her favorite positive integer by $\sqrt{2}$. Her product is an integer. a) Name three number

Dmitry [639]

Answer:

Part a) $2,50,18$

Part b) When Jenny divides the square root of her favorite positive integer by $\sqrt{2}$ , she gets an integer

Step-by-step explanation:

Let

x-------> the favorite positive integer

Part a)

1) For $x=2$

$\sqrt{2}*\sqrt{2}=\sqrt{4}=2$ -----> the product is an integer

so

The number $x=2$ could be Jenny favorite positive integer

2) For $x=50$

$\sqrt{50}*\sqrt{2}=\sqrt{100}=10$ -----> the product is an integer

so

The number $x=50$ could be Jenny favorite positive integer

3) For $x=18$

$\sqrt{18}*\sqrt{2}=\sqrt{36}=6$ -----> the product is an integer

so

The number $x=18$ could be Jenny favorite positive integer

Part B)

1) For $x=2$

$\sqrt{2}/\sqrt{2}=\sqrt{1}=1$ -----> the result is an integer

2) For $x=50$

$\sqrt{50}/\sqrt{2}=\sqrt{25}=5$ -----> the result is an integer

3) For $x=18$

$\sqrt{18}/\sqrt{2}=\sqrt{9}=3$ -----> the result is an integer

Therefore

When Jenny divides the square root of her favorite positive integer by $\sqrt{2}$ , she gets an integer

4 0

3 years ago

An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2 : S

Darya [45]

Step-by-step explanation:

From given data,

n = 1496

x = 478

Proportion estimate ( p ) = $\frac{x}{n}$

= $\frac{478 }{1496}$ = 0.3195 ≅ 0.31

Proportion estimate ( p ) = 0.31

∴ The proportion of new car buyers who prefer foreign cars -> 0.31

4 0

3 years ago

Write each of the mixed numbers below as a fraction greater than one, and write each of the fractions greater

Softa [21]

Answer:

a. 13/3

b. 3 3/4

d. 1 7/8

c. 7/2

Step-by-step explanation:

a. 4 1/3 given

4*3=12 multiply the whole numbers with the denominator

12+1 =13 add the numerator to the product

13/3 put sum over denominator

b. 15/4 given

15/4=3 with a remainder of 3 divide numerator by denominator

3 3/4 rewrite as mixed number

d. 15/8 given

15/8=1 with a remainder of 7 divide numerator by denominator

1 7/8 rewrite as mixed number

c. 3 1/2 given

3*2=6 multiply whole number by denominator

6+1=7 add numerator to product

7/2 put sum over denominator

7 0

2 years ago

How many different tables of 4 can you make from 16 potential bridge players? How many different tables if 4 players insist on p

Nadusha1986 [10]

4 tables. 4*4 is 16, meaning that even if 4 players want to sit together it doesn't make a difference. With 16 players and 4 at a table we are going to need 4 tables.

8 0

3 years ago

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