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rjkz [21]
3 years ago
9

Need help solving this problem down below.​

Mathematics
1 answer:
Veronika [31]3 years ago
3 0

Answer:

1 / We have the area of a rectangle ABCD = 8 x 16 = 128 ft²

2 / Find the area of an isosceles Δ DEF:

The base of the isosceles ΔDEF => DF = DC- FC = 16 -12 = 4 ft

So the area of Δ DEF = 1/2 (DF x EH) = 1/2 (4 x 6) = 12 ft²

3 / Area of the irregular shape = area ABCB + Area DEF = 128 + 12 = 140 ft²

Step-by-step explanation:

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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
Without using a calculator, order the following numbers from least to greatest
SpyIntel [72]
The square root of 78 is a number which when multiplied by itself results in 78. The square root of 78 is denoted by √78. 78 can be expressed as 78 = 2 × 3 × 13. Hence, on simplifying square root of 78 is written as √78

so the least number is root 78 , 9 , 10
8 0
3 years ago
One less than half a number is 12. What is the number
olga_2 [115]
To find this, turn the word question into an equation.
"One less than" means - 1, which is 1 being subtracted from something.
"half a number" means 1/2x, since 1/2 is half and x is unknown.
"is 12" means = 12, which is something equals 12.
Putting this in order would be 1/2x, then - 1, then = 12.
As an equation, this is 1/2x - 1 = 12.
So the equation is 1/2x - 1 = 12

Now you must find the number by solving this equation.
1/2x - 1 = 12
First, add 1 to both sides.
12 + 1 = 13
1/2x = 13
Now multiply both sides by 2.
This way, x will be isolated since 1/2x • 2 = 1x, and 1x = x.
13 • 2 = 26
x = 26
The number is 26.
6 0
3 years ago
The total number of shares of stock in a corporation is 950,000. Carlos owns 25,000 shares. What percent of the shares of stock
ivann1987 [24]

Answer:

He owns 38%

Step-by-step explanation:

divide 950,000 by 25,000

5 0
3 years ago
IN MATH WHAT IS 86 DIVIDE BY 6 WHAT THE REMAINDER
Valentin [98]
14 and the remainder is 3
5 0
3 years ago
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