All categories

2 years ago

Can anyone help solve this step by step?

Mathematics

1 answer:

FrozenT [24]2 years ago

5 0

Answer:

85.2 m²

Step-by-step explanation:

Perhaps one of the easiest ways to decompose this composite figure is to consider it as a rectangle with a triangle removed from it.

The vertical dimension of the missing triangle is 8-4 = 4 m. The horizontal dimension of the missing triangle is 11.4 -8.4 = 3 m. The overall rectangle, including the missing triangle, is 11.4 m wide and 8 m high.

The area of the figure is ...

area = rectangle area - triangle area

= (11.4 m)(8 m) -1/2(4 m)(3 m) = 91.2 m² -6 m² = 85.2 m²

The area of the shape is 85.2 square meters.

_____

Additional comment

The area of a rectangle is the product of its length and width:

A = LW

The area of a triangle is half the product of its base and height:

A = 1/2bh

You might be interested in

Max is determined the volume of the triangle pyramid below.

fiasKO [112]

Answer: C

Step-by-step explanation:

7 0

2 years ago

Georgia lifts free weights. The bar weighs 25 pounds. She puts two 25 pound weights and two 10 pound weights on the bar. How muc

slava [35]

Answer:

95 pounds

Step-by-step explanation:

25 from the bar

2 x 25 is 50 already plus the bar is 75

2 x 10 is 20 plus 75 is 95 pounds

5 0

3 years ago

A study was conducted on dolphins born in 2016 in a certain region of the ocean. Ten of the 250 dolphins studied were born with

amm1812

Answer:

25,000

Step-by-step explanation:

i think because 10 times 100 gets 1000 so now you have to do 250 times 100 to get 25,000

4 0

2 years ago

Read 2 more answers

Rationalize the denominator of square root of negative 9 over open parentheses 4 minus 7 i close parentheses minus open parenthe

AlekseyPX

The answer is
$\frac{-6i-3}{5}$ .

Before we rationalize the denominator, we must simplify the numerator and denominator. We evaluate the square root on the top, and combine like terms on the bottom:
$\frac{\sqrt{-9}}{(4-7i)-(6-6i)}
\\
\\=\frac{\sqrt{9i^2}}{4-6-7i--6i}
\\
\\=\frac{3i}{-2-i}$

To rationalize the denominator, we multiply by the conjugate. The conjugate is found by making the imaginary term of the complex number, the i part, the opposite sign. The conjugate of -2-i is -2+i:

$\frac{3i}{-2-i}\times \frac{-2+i}{-2+i}
\\
\\=\frac{3i(-2+i)}{(-2-i)(-2+i)}
\\
\\=\frac{3i\times -2 + 3i\times i}{-2\times -2 + -2\times i + -2\times -i + -i\times i}
\\
\\=\frac{-6i+3i^2}{4-2i+2i-i^2}
\\
\\=\frac{-6i+3(-1)}{4-i^2}=\frac{-6i-3}{4-(-1)}=\frac{-6i-3}{5}$

7 0

3 years ago

14) A blizzard produced 9 - inches of snow. The

Arisa [49]

Answer:

2 3/8 in.

Step-by-step explanation:

$9\frac{1}{2}-7\frac{1}{8}\\\\9\frac{4}{8}-7\frac{1}{8}\\\\2\frac{3}{8}$

5 0

2 years ago