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Sonbull [250]
2 years ago
7

Jen is on the platform of her boat. She sights the top of a lighthouse at an angle of 30° as shown below. She knows that the hei

ght of the lighthouse is 50 meters.
How far is Jen from the base of the lighthouse, in meters
Mathematics
1 answer:
Tema [17]2 years ago
5 0
In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equals sign "=". The word ...
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Jonathan borrowed $475 at a simple annual interest rate of 2%. How many years will it take him to repay the loan if he wants to
vovikov84 [41]
Firstly you would times 475 by the percentage, which you can convert to a decimal my multiplying the percentage by 100.

475 * 0.02 = 9.50

Then divide the interest by the amount of interest per year:
38 / 9.5 = 4.

The answer would be 4 years.

Hope this helps.
3 0
2 years ago
Read 2 more answers
suppose that a company claims that its boxes of breakfast cereal contain 15 ounces of cereal on average, with a standard deviati
olga nikolaevna [1]

Answer: 15 ounces


Step-by-step explanation:

It is given that a company claims the average cereal in boxes of breakfast cereal = 15 ounces

And we know that the mean amount is nothing but the average amount of any data.

Mean is synonym word of average .

The statistical mean is the mean or average that is used to find the central tendency of the data in any question.

Thus, the expected mean amount of cereal per box = 15 ounces.

8 0
2 years ago
3. The area of a rectangular deck, in square meters, is given by the polynomial 40p2 + 24p.
lorasvet [3.4K]

Answer:

Length = 5p + 3

Perimeter = 26p + 6

Step-by-step explanation:

Given

Area = 40p² + 24p

Width = 8p

Solving for the length of deck

Given that the deck is rectangular in shape.

The area will be calculated as thus;

Area = Length * Width

Substitute 40p² + 24p and 8p for Area and Width respectively

The formula becomes

40p² + 24p = Length * 8p

Factorize both sides

p(40p + 24) = Length * 8 * p

Divide both sides by P

40p + 24 = Length * 8

Factorize both sides, again

8(5p + 3) = Length * 8

Multiply both sides by ⅛

⅛ * 8(5p + 3) = Length * 8 * ⅛

5p + 3 = Length

Length = 5p + 3

Solving for the perimeter of the deck

The perimeter of the deck is calculated as thus

Perimeter = 2(Length + Width)

Substitute 5p + 3 and 8p for Length and Width, respectively.

Perimeter = 2(5p + 3 + 8p)

Perimeter = 2(5p + 8p + 3)

Perimeter = 2(13p + 3)

Open bracket

Perimeter = 2 * 13p + 2 * 3

Perimeter = 26p + 6

4 0
2 years ago
Photon Lighting Company determines that the supply and demand functions for its most popular lamp are as follows: S(p) = 400 - 4
BlackZzzverrR [31]
S(p) = 400 - 4p + 0.00002p^4
D(p) = 2800 - 0.0012p^3

S(p) = D(p)
400 - 4p + 0.00002p^4 = 2800 - 0.0012p^3
0.00002p^4 + 0.0012p^3 - 4p - 2400 = 0
p = $96.24
6 0
2 years ago
A tank holds 49 litres of oil. if 7 litres leaked what percentage of oul has leaked​
REY [17]

Answer:

14.3%

Step-by-step explanation:

7 liters of the 49 litre oil has been poured out. Since it is out of 49, divide 7 by 49 and multiply by 100 to find its percentage. bangg.

6 0
1 year ago
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