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denis23 [38]
2 years ago
6

I need help with these two

Mathematics
1 answer:
Alika [10]2 years ago
4 0

Answer:

19. A

20. A

Step-by-step explanation:

19. tan(53)=15/x

x(tan(53))=15

x=15/(tan53))

x=11.3 feet


20. tan(60)=12/x

x(tan(60))=12

x=12/(tan(60))

x=6.93, or 4sqrt3

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Write an expression to represent the pattern 19, 27, 35, 43
Mama L [17]

Answer

1) The expression to represent the pattern is 11 + 8n

2) The expression to represent the pattern is 80 - 9n

Step-by-step explanation:

1) Lets study the pattern;

- 19 , 27 , 35 , 43 , ..................

27 - 19 = 8

35 - 27 = 8

43 - 35 = 8

The difference is constant between each two consecutive terms

It is an arithmetic sequence

Lets take about the arithmetic sequence

If the first term is a and the constant difference is d

a1 = a , a2 = a + d , a3 = a + 2d , a4 = a+ 3d , ........

an = a + (n - 1)d, where n the position of the term in the sequence

Now we will use this rule to find the expression of our pattern

a = 19 , d = 8

an = 19 + (n - 1)(8) ⇒ an = 19 + 8n - 8 ⇒ an = 11 + 8n

Lets check it;

a3 = 11 + 8(3) = 11 + 24 = 35 ⇒ true

The expression to represent the pattern is 11 + 8n

Step 2) Lets study the pattern;

- 71 , 62 , 53 , 44 , ...

62 - 71 = -9

53 - 62 = -9

44 - 53 = -9

The difference is constant between each two consecutive terms

It is an arithmetic sequence

We will use the same rule above to find the expression of the pattern

a = 71 , d = -9

an = 71 + (n - 1)(-9) ⇒ an = 71 + -9n + 9 ⇒ an = 80 - 9n

Lets check it;

a4 = 80 - 9(4) = 80 - 36 = 44 ⇒ true

The expression to represent the pattern is 80 - 9n

7 0
3 years ago
Watches a movie that is 1 hour and 45 minutes long. Which number line show when Antoine watches the movie?
ss7ja [257]

Answer:

lmk if u want a more detailed explanation but since it's urgent here's the answer.

Step-by-step explanation:

8 0
2 years ago
How do you graph this inequality on a number line? <br><img src="https://tex.z-dn.net/?f=r%20%5Cleqslant%20%20-%209" id="TexForm
Black_prince [1.1K]

Answer in the attachment.

5 0
2 years ago
Which function represents a reflection of f(x) = 5(0.8)x across the x-axis?
lukranit [14]

The function represents a reflection of f(x) = 5(0.8)x across the x-axis is f(x) = -5(0.8)^x

<h3>Reflection of functions and coordinates</h3>

Images that are reflected are mirror images of each other. When a point is reflected across the line y = x, the x-coordinates and y-coordinates change their position. In a similar manner, when a point is reflected across the line y = -x, the coordinates <u>changes position but are negated.</u>

Given the exponential function below

f(x) = 5(0.8)^x

If the function f(x) is reflected over the x-axis, the resulting function will be

-f(x)

This means that we are going to negate the function f(x) as shown;

f(x) = -5(0.8)^x

Hence the function represents a reflection of f(x) = 5(0.8)x across the x-axis is f(x) = -5(0.8)^x

Learn more on reflection here: brainly.com/question/1908648

#SPJ1

8 0
2 years ago
What must be your car's average speed in order to travel 227 km in 3.22 h ?
goblinko [34]

Answer:

Step-by-step explanation:

7 0
2 years ago
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