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natulia [17]
3 years ago
13

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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X = 3y - 6 2x - 4y = 8 Solve the system of equations using substitution.
Brut [27]
Hello

x = 3y - 6
2x - 4y = 8
We need to start by solving 3y - 6 for x
Substitute 3y -6 for x in 2x
2x - 4y = 8
2(3y - 6) - 4y = 8
2y - 12 = 8
2y = 8 + 12
2y = 20
Divide both sides by 2
2y/2 = 20/2
y = 10

Now, substitute 10 for y in x= 3y
x = 3y - 6
x = 3(10) - 6
x = 30 - 6
x= 24

Answer : x = 24 and y=10

I hope this help!
7 0
3 years ago
Read 2 more answers
3 divide by what number equals 5
marysya [2.9K]
First write the equation
3/n = 5

Multiply both sides by n
3/n * n = 5 * n

Simplify
3 = 5 * n

Divide both sides by 5
3/5 = 5 * n/5

Simplify
3/5 = n

Divide
0.6 = n


So 3/0.6 = 5
4 0
4 years ago
24. Find the area of the shaded region:
Monica [59]

Answer:

A = 5x³ + 17x² - 35x - 30

Step-by-step explanation:

the shaded area (A) is calculated as

A = outer area - inner area

   = (5x + 3)(x² + 4x - 10) - 3x(2x - 1) ← distribute parenthesis

   = 5x³ + 20x² - 50x + 3x² + 12x - 30 - (6x² - 3x)

  = 5x³ + 23x² - 38x - 30 - 6x² + 3x ← collect like terms

  = 5x³ + 17x² - 35x - 30

7 0
2 years ago
Read 2 more answers
A copy machine makes 36 copies per minute. How many copies does it make in four minutes and 45 seconds?
blsea [12.9K]

Answer: The copy machine makes 171 copies in 4 minutes and 45 seconds.

Step-by-step explanation:

Let's dissect the question. The copy machine makes 36 copies per minute.

36 per min.

To see how many copies it makes in 4 minutes and 45 seconds, we multiply 36 * 4.75. 45 seconds is 3/4ths of a minute, or 0.75 of a minute.

36 * 4.75=171

It makes 171 copies in 4 minutes and 45 seconds.

7 0
3 years ago
"8% of a number is 20."
andreyandreev [35.5K]

Answer: 250

Step-by-step explanation:

5 0
3 years ago
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