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yuradex [85]
4 years ago
13

When Elyse moved last weekend, the circular glass top for an end table broke. To replace it, she bought a circular glass top wit

h a diameter of 20 inches.
What is the approximate area of the circular glass top Elyse bought?
Mathematics
1 answer:
Charra [1.4K]4 years ago
5 0

Answer:

A = 314 inches^2

Step-by-step explanation:

We know the diameter of the glass.  We need to find the radius

d = 2r

20 = 2r

Divide each side by 2

20/2 = 2r/2

10 =r

To find the area of the glass

A = pi r^2

A = pi * 10^2

A = pi*100

A = 100 *(3.14)

   = 314 in^2

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On Monday, it took 5 builders 3 in a half hours to build a wall.
mrs_skeptik [129]

Answer:

£83.70

Step-by-step explanation:

→ First step is to find the amount of hours it takes for one builder

We know it takes 5 builders 3\frac{1}{2} hours so 1 builder would take 5 × 3\frac{1}{2} which is \frac{35}{2} hours so it takes one builder 17.5 hours to builder a wall

→ Now we know how long one work takes we need to find out the time for 2 builders

1 builder = 17.5 hours

2 builders = 17.5 ÷ 2 = 8.75 hours

So 2 builders take 8.75 hours

→ We know that each builder is paid £9.30 for each or part hour they work so

9.30 hourly pay rate × 9 hours work of work = £83.70

Each worker will be paid £83.70

6 0
3 years ago
What is 1.257 rounded to the nearest tenths
NISA [10]

Answer:

1.300

Step-by-step explanation:

so you round your tenths which is 2 then use the 5 to make it 1.300

hope this help :)

6 0
3 years ago
· A)What is the distance formula in geometry ?
jeka94

Answer:

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Solve the equation: 6n+5<11
max2010maxim [7]

Steps to solve:

6n + 5 < 11

~Subtract 5 to both sides

6n < 6

~Divide 6 to both sides

n < 1

Best of Luck!

8 0
3 years ago
Read 2 more answers
A password is to be made from a string of five characters chosen from the lowercase letters of the alphabet and the numbers 0 th
alex41 [277]

Using the Fundamental Counting Theorem, it is found that for each case, the total number of outcomes is:

a) 60,466,176.

b) 5,961,600.

<h3>What is the Fundamental Counting Theorem?</h3>

It is a theorem that states that if there are n things, each with n_1, n_2, \cdots, n_n ways to be done, each thing independent of the other, the number of ways they can be done is:

N = n_1 \times n_2 \times \cdots \times n_n

Item a:

No restrictions, hence for each of the five characters, there are 36 outcomes, hence n_1 = \cdots = n_5 = 36.

Then, the possible number of passwords is:

N = 36^5 = 60466176

Item b:

The letters and the digits have to be alternated, hence:

  • Starting with a letter, n_1 = n_3 = n_5 = 36, n_2 = n_4 = 10.
  • Starting with a digit, n_1 = n_3 = n_5 = 10, n_2 = n_4 = 36.

Then, the possible number of passwords is:

N = 36^3 \times 10^2 + 10^3 \times 36^2 = 5961600

To learn more about the Fundamental Counting Theorem, you can take a look at brainly.com/question/24314866

5 0
3 years ago
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