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Butoxors [25]
2 years ago
6

In a certain year, the population of Smallburg was $4{,}000.$ In the following year, the population increased by $15\%.$ What wa

s the resulting population?
Mathematics
1 answer:
makkiz [27]2 years ago
5 0

Answer:

4,600

Step-by-step explanation:

To solve this problem, we need to multiply add 15% of 4,000 back to 4,000.

First, change 15% into a decimal:

15% -> \frac{15}{100} -> 0.15

Next, multiply 4,000 by 0.15:

x= 4,000(0.15)

x=600

The last step is to add the 600 back to 4,000:

4,000 + 600 = 4,600

The population of Smallburg the following year was 4,600.

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AleksandrR [38]
The absoulte vaue of 300-48t is 30=29=-4
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3 years ago
Which equation represents a circle that contains the point (-2, 8) and has a center at (4, 0)?
Digiron [165]

Answer:

(x-4)² + y² = 100

Step-by-step explanation:

The only circles that have a center at (4 , 0) are :

(x-4)² + y² = 100

(x-4)² + y² = 10

……………………

•  (-2 - 4)² + 8² = (-6)² + 64 = 36 + 64 = 100 ≠ 10

Then

The circle (x-4)² + y² = 10 doesn’t contain the point (-2, 8)

•  (-2 - 4)² + 8²  = 100

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The circle (x-4)² + y² = 100 contains the point (-2, 8)

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2 years ago
Help me on 8 and 9 plz
klasskru [66]
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5 0
3 years ago
In triangle ABC, AB = 11 cm, BC = 9 cm and CA = 10 cm.<br> Find the area of triangle ABC.
max2010maxim [7]

Answer:

Area = 42.43 square cm

Step-by-step explanation:

Using Heron's Formula :

 Area = \sqrt{s\times (s-a) \times (s-b) \times(s -c)} \ , \ where  \ s \ =\ \frac{a+ b+ c}{2}

<em><u>Find Area :</u></em>

<em><u></u></em>

s = \frac{11 + 9 + 10 }{2} = \frac{30}{2} = 15

Area = \sqrt{15 \times ( 15 - 11 ) \times { (15 - 9 ) \times ( 15 -10)}\\\\

      = \sqrt{15 \times 4 \times 6 \times 5}\\\\=\sqrt{1800}

      = 42 . 43 \ cm^2

7 0
2 years ago
A painter leans a 13ft ladder against a house. The base of the ladder is 5ft from the house. How high on the house does the ladd
lakkis [162]

Answer:

13,92838827718412‬ft

Step-by-step explanation:

a² + b² = c²

a = 13ft

b = 5ft

169 + 25 = 194

c = √194

c = 13,92838827718412‬ft

6 0
3 years ago
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