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MArishka [77]
2 years ago
7

A statue that is 80 m tall stands on a 625 m2 base. An artist creates a replica using a ratio of 1:15. What is the area of the r

eplica's base?
Mathematics
1 answer:
Sholpan [36]2 years ago
4 0

Answer: 2.78m^{2}

Step-by-step explanation:

given data:

height of the statue = 80m.

base of the statue = 625m^{2}.

scale of the statue replica = 1:15.

<u><em>solution:</em></u>

= 1:15^{2} \\\\\= 1:225\\\\

= \frac{625m^{2} }{225}

= 2.78m^{2}

the area of the replica is 2.78m^{2}

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Mrs. Lobo earns a salary of $50,000 per year plus a 4% commission on her sales. The average price of a share
dem82 [27]

Answer:

a) 50,000 + 2x > 70,000

Step-by-step explanation:

Mrs. Lobo has an annual salary of $50000 per year plus 4% commission on her sales.

If she makes $y commission from sales, Mrs Lobo total income per year is:

$50000 + $y.

She makes 4% commission on her sales of share with the average price of a share = $50

Average commission from sales = 4% × $50 = 0.04 × 50 = $2

If she sales x shares in a year, her commission would be $2x for the year. Therefore her total income for that year would be:

50000 + 2x

The amount of shares Mrs Lobbo must sell to make an annual income of at

least $70,000 is given by the inequality:

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8 0
3 years ago
⦁ Find the length of the third angle of a triangle given that the first two angles are 35 and 70. Show your work.
UNO [17]
180 - 70 = 110
110 - 35 = 75
The third angle is 75
3 0
3 years ago
The time, t, required to complete a job
tigry1 [53]

Answer:

19 hrs

Step-by-step explanation:

t varies inversely with number of people p

t = k/p

If it takes 7.125 hrs for 8 workers to do the job

K = tp

= 7. 125 x 8

= 57

How many hours will it take if there are 3 workers .

Recall t = k/p

t = 57/3

= 19 hrs

Therefore, It’ll take 19 hrs to Complete the job if there are only three workers.

3 0
3 years ago
The ratio of fiction to nonfiction books in the library is 4:5. If there are 900 books in a collection, how many are fiction?
jekas [21]
There will be excactly 400 fiction books. The ratio of fiction to all is 4 to 9, or 4 to 900.
4 0
2 years ago
The perimeter of a kite is 50 mm. The length of one of its sides is 1 mm more than twice the length of another. Find the length
rosijanka [135]

Answer:

The length of the longest side is 13mm

Step-by-step explanation:

Represent the two sides with a and b, where a is the longest

Perimeter = 50

a=b + 1

Required

Determine the length of the longest side

Perimeter of a kite is calculated as thus:

Perimeter = 2(a + b)

Make b the subject in a=b + 1

b = a -1

Substitute a - 1 for b and 50 for Perimeter in Perimeter = 2(a + b)

50 = 2(a + a - 1)

Divide through by 2

25 = a + a - 1

25 = 2a- 1

Add 1 to both sides

25 + 1 = 2a - 1 +1

25 + 1 = 2a

26 = 2a

Solve for a

a = 26/2

a = 13

<em>Hence, the length of the longest side is 13mm</em>

4 0
2 years ago
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