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3 years ago

The diagram shows a square with perimeter 40 cm.

Mathematics

1 answer:

Gnoma [55]3 years ago

4 0

Answer:

55 cm²

Step-by-step explanation:

side length of square = perimeter/4 = 40/4 = 10 cm.

area of square = side x side = 10 x 10 = 100 cm²

area of triangle #1 = 1/2bh = 1/2(3)(10) = 15

area of triangle #2 = 1/2bh = 1/2(6)(10) = 30

100 - 15 - 30 = 55 cm²

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5. By using prime factorisation, determine if 324 and 588 are<br> perfect squares.

ad-work [718]

Step-by-step explanation:

first do prime factorization of 324= 2×2×3×3×3×3

= 2 square, 3 square,3 square

therefore 324 is a perfect square

Now,

prime factorization of 588=2×2×3×7×7

= 2 square,7 square ,3

therefore 588 is not a perfect square

3 0

3 years ago

In 2010, the population of a city was 161,000. From 2010 to 2015, the population grew by 8%. From 2015 to 2020, it fell by 6.7%.

solniwko [45]

Answer:

99%

Step-by-step explanation:

2010 population = 161,000

From 2010 to 2015, the population grew by 8%.

2010 to 2015 = 161,000 + (8% of 161,000)

= 161,000 + (0.08 * 161,000)

= 161,000 + 12,880

= 173,880

2010 to 2015 = 173,880

From 2015 to 2020, it fell by 6.7%

2015 to 2020 = 173,880 - (6.7% of 173,880)

= 173,880 - (0.067 * 173,880)

= 173,880 - 11,649.96

= 162,230.04

2015 to 2020 = 162,230.04

what percent did the city grow from 2010 to 2020.

= 161,000 / 162,230.04 × 100

= 0.9924179270374 × 100

= 99.241792703743

Approximately, 99% to the nearest whole number

4 0

3 years ago

A weekly report for new agents at a vacation sales company is shown in the histogram.

bearhunter [10]

Answer:

Step-by-step explanation:

More than 10 means 11, 12, 13, 14, 15, 16.

From the histogram, number of salespersons who sold

11 -12 packages is 1;
13-14 packages is 2;
15-16 packages is 3.

In total, number of the new agents which sold more than 10 vacation packages is

$1+2+3=6$

8 0

3 years ago

Vehicle a averages 14 miles per gallon of gasoline, and vehicle b averages 36 miles per gallon of gasoline. at these rates, how

Dima020 [189]

72 or 28 is the answer i hope this helped you :)

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4 years ago

A movie theatre sells 3 different sizes of popcorn: small, medium, and large. An order of popcorn comes with 4 different topping

Darina [25.2K]

you can only choose 4 unique ways Step-by-step explanation:

6 0

3 years ago