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3 years ago

A wooden board is leaning against a house

Mathematics

1 answer:

kobusy [5.1K]3 years ago

6 0

Answer:

24.4 feet

Explanation:

Let x be the length of the wooden board as shown in the diagram.

Using trigonometry ratio, we can write

$\cos(35)=\frac{20}{x}$

$\implies0.819= \frac{20}{x}$

cross multiplying we get:

$0.819 \times x = 20$

Diving through by 0.819, we obtain

$x = 24.42$

To the nearest tenth, x=24.4 feet.

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The lines below are perpendicular. If the slope of the green line is 3/2 what is

Mars2501 [29]

Answer:

The answer: -2/3

your welcome :)

4 0

3 years ago

A small town currently has a population of 15,000. Each year the population decreases by 2.25%. What will the population be in 8

kolbaska11 [484]

Answer: 12,503 people

Step-by-step explanation:

This is an exponential decrease so to find the population in 8 years you have to use a future value formula:

= Amount * (1 + rate) ^ number of years

= 15,000 ( 1 + (-2.25%)) ⁸

= 15,000 * (1 - 2.25%)⁸

= 12,503.32

= 12,503 people

6 0

3 years ago

1/3 equivalent first 2 fractions

andreyandreev [35.5K]

Hey there!

1/3 is equivalent to 2/6
Here is why:

1 x 2 = 2
3 x 2 = 6
You can do this by cross multiplying 1/3 and 2/6
That's how you get 2/6 as an equivalent fraction.

1/3 is also equivalent to 3/9
Here is why:
3 x 1 = 3
3 x 3 =9
You can also do this by cross multiplying 1/3 and 3/9
That's how you get 3/9 as an equivalent fraction.

There are also many other fractions that are equal to 1/3, but these are the first two.

Hope this helps you.
Have a great day!

3 0

3 years ago

Each side of a square is increasing at a rate of 2 cm/s. at what rate is the area of the square increasing when the area of the

faltersainse [42]

Let x(t) = the length of a side of the square (cm) at time t (s).
The rate of change of x is given as
$\frac{dx}{dt} =2 \, \frac{cm}{s}$

The area (cm²) at time t is
A = x²

The rate of change of the area with respect to time is
$\frac{dA}{dt} = \frac{dA}{dx} \frac{dx}{dt} =2 \frac{dA}{dx} =2(2x)=4x \, \frac{cm^{2}}{s}$

When A = 9 cm², then x = √9 = 3cm. Hence obtain
$\frac{dA}{dt} = 4(3) = 12 \, \frac{cm^{2}}{s}$

Answer: 12 cm²/s

3 0

2 years ago

Apply the distributive property to simplify -1/3 (12+30) . A. 14 B. 6 C. -13 D. -14

IgorLugansk [536]

Answer: -14

(− 1/ 3 )(12+30)

= −1 /3 (12+30)

= −1/ 3 (42)

= −14

4 0

3 years ago

Read 2 more answers