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k0ka [10]
3 years ago
14

An artist used silver wire to make a square that has a perimeter of 40 inches. She then used copper wire to make the largest cir

cle that could fit in the square, as a shown below
Show work please

Mathematics
1 answer:
rjkz [21]3 years ago
3 0

Answer:

The artist used 8.6 inches more of silver wire

Step-by-step explanation:

Perimeter of the square

P = 4*a

P = 4*a = 40 in

a = 10 in

Each side of the square has a length of 10 in

The diameter of the circle is equal to the length of the side of  the square

Diameter = 10 in

Perimeter of the circle

P_c = 2*π*radius  = π*diameter

P_c = (3.14)*10 in = 31.4 in

Inches of silver wire (square)   =  40 in

Inches of copper wire (circle)   =  31.4 in

40- 31.4  in  = 8.6 in

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I need this urgently!! I need by 7:15!!
Sati [7]

The question is telling you that the length of the rectangle is 3 metres more than twice the width.

So let:

<em>w= width</em>

<em>L= length</em>

Because the length is 3 metres more than twice<em> </em>the width: <em>L= </em><em>2</em><em>w+</em><em>3</em>


They also tell you the perimeter is 48 metres.

<em>P= L+L+w+w</em>

So the equation of the perimeter is:

<em>48= (2w+3)+(2w+3)+2w +2w</em>

<em>48= 2(2w+3) + 4w</em>


To find w, expand and simplify.

<em>48= 4w+6+4w</em>

<em>48= 8w + 6</em>

<em>42= 8w</em>

<em>5.25=w</em>


Now that you know the width, plug in the value into the length equation:

<em>L= 2w+3</em>

<em>L=2(5.25)+3</em>

<em>L=10.50+3</em>

<em>L=13.5</em>


If I am wrong let me know! I hope this helps.

6 0
3 years ago
Find the ratio that is equivalent to 10:5.<br> OA) 15:5<br> OB) 5:10<br> OC) 2:1<br> OD 5:1
Vesnalui [34]

Answer:

OB) 2:1

Step-by-step explanation:

5 can go into 10 twice and 5 can go into itself once

6 0
3 years ago
Read 2 more answers
Anybody know the anwser
Darya [45]

Answer:

A 3 goes in the parentheses. The expression evaluates to 59.

Step-by-step explanation:

b = 3

2b^3 + 5 =

= 2(3)^3 + 5

= 2 * (3 * 3 * 3) + 5

= 2 * 27 + 5

= 54 + 5

= 59

3 0
2 years ago
Paulita reads an average of 20 pages each day. she has 6 days to read 10 squared pages. will se finish her reading in 6 days? ex
denis-greek [22]
Yes because 10 squares is 100 6*20 = 120 which is more than 100
8 0
3 years ago
In a certain​ region, the probability of a baby being born a boy is 0.497 instead of 0.5. Let A denote the event of getting a bo
Slav-nsk [51]

Answer:

Probability that a girl is born is event P(\bar{A})

P(\bar{A})=0.503

Step-by-step explanation:

Given that

Let A be an event when a boy is born

P(A)=0.497\\\\P(\bar{A})=1-P(A)\\\\P(\bar{A})=1-0.497\\\\P(\bar{A})=0.503

4 0
3 years ago
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