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TiliK225 [7]
2 years ago
15

Mathematical connection A lighthouse casts a revolving beam of light as far as the pier

Mathematics
1 answer:
Alexandra [31]2 years ago
4 0

The light's coverage area is given mathematically as i.e. Area=\pi d^{2}

Given that a lighthouse casts a revolving beam of light as far as they peir and asked the area is covered.

The revolving beam of light covers the whole space i.e entirely 360°

I.e. it forms a circle-like region

Area of circle = \pi r^{2}{ where r is the radius of circle}

Let's assume the distance traveled by light as "d"

as it forms a circular region, it forms a circle of radius "d"

Mathematical connection i.e. area of the region

⇒area of circular region=\pi d^{2} {where d is the radius of region}

Learn more about area here:

brainly.com/question/27683633

#SPJ9

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Karana's mom bought her two items using a credit card. The first item cost $258, and the second item cost $372. Later, she retur
Lelu [443]

Answer:

View explanation.

Step-by-step explanation:

The question isn't clear on whether or not you are asking if the mom or if the store is owing money to the credit card company. The store owes the full amount paid. The mom owes nothing. You can look at the images for a more detailed explanation, but it is not really needed.

Images from https://www.creditcardinsider.com/blog/happens-credit-card-bill-make-return/

7 0
3 years ago
Mercy marks up all goods she sells by 30%.What is the mark up of a hat that cost her $42?
Delvig [45]

Answer:

$12.60

Step-by-step explanation:

42/30%=42/0.3=$12.60

Brainleist plz

(comment if spelling is wrong anywhere)

3 0
3 years ago
4267 divided by 31 in mixed number form
Rainbow [258]
Mixed Number Form:
<span>137 </span>\frac{20}{31}
8 0
3 years ago
at first, the ratio of john’s money to peter’s money was 4:7 . after john spent half of his money and peter spent $60, peter had
hodyreva [135]

Answer:

$80

Step-by-step explanation:

4x/2=2x

7x-60

7x-60=2x*2

7x-60=4x

3x=60

x=20

20*4=80

4 0
3 years ago
Find the sum of the following series
vazorg [7]

Answer:

a) 820

b)450

c)  -540

d) -294

e) 1440

f) 1425

Step-by-step explanation:

a) it is an arithmetic progression with ratio=4

   a1=3,

     a2=3+r=3+4=7.....

    a20=a1+19r

so a20=3+19*4=3+76=79

S=(a1+an)*n/2 where n=20

so S=(3+79)*20/2=820

b) a15=a1+14*r=2+14*4=2+56=58

S=(a1+a15)*15/2=(2+58)*15/2=60*15/2=30*15=450

It is the same formula for all  the exercises

S=(a1+an)*n/2 ,     where n is the number of terms

c) a40=30+39*(-3)=30-87=-57

So S=(30-57)*40/2=-540

d) a14=5+13*(-4)=5-52=-47

S=(5-47)*14/2=-42*14/2=-42*7=-294

e) it is 5+7+9+......+75

nr of  terms  = (an-a1) :r+1=(75-5):2+1=36

S=(5+75)*36/2=36*40=1440

f) ratio=7-4=3

the  same formula for n= (91-4):3+1=87:3+1=29+1=30

S=(4+91)*30/2=95*30/2=2850/2=1425

8 0
3 years ago
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