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Luden [163]
3 years ago
11

Need help with Trigonometry!

Mathematics
1 answer:
EleoNora [17]3 years ago
5 0

Answer:

h = 109.9 in

Step-by-step explanation:

The above question can be solved using trigonometric ratio formula,

tan θ = opposite/adjacent

tan θ = tan 70° ≈ 2.7475

opposite = height of lamppost = h in

Adjacent = 40 in

Thus,

tan 70 = \frac{h}{40}

2.7475 = \frac{h}{40}

Multiply both sides by 40 to solve for h

40*2.7475 = h

h = 109.9 inches

The height of the lamppost = h = 109.9 inches (to nearest tenth)

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Solve 7x − 2y = −3<br> 14x + y = 14
Sauron [17]
7x - 2y = -3

14x + y = 14
14x -14x + y = 14-14x
Y = 14 - 14x

7x -2y = -3
7x - 2(14 - 14x) = -3
7x -28 + 28x = -3
7x + 28x - 28 = -3
35x - 28 = -3
35x - 28 + 28 = -3 + 28
35x = 25
35x/35 = 25/35
X = 25/35 = 5/7.

Y = 14 - 14x
Y = 14 - 14(5/7)
Y = 14 - 10
Y = 4.

The solution P(5/7,4).
8 0
3 years ago
Read 2 more answers
Write down the second term in the sequence given by: T(n) = n2 - 5
enot [183]
There are two terms n2 and -5. n2 is the first term and -5 is the second term
8 0
3 years ago
What’s the correct answer for this question?
Sliva [168]

Answer:

0.37

Step-by-step explanation:

As shown in table,

The probability of the fruit is orange is P(A) = 0.3

The probability of the fruit is organic is P(B)

The probability of the fruit is orange and organic is P(A⋂B) = 0.11

=> The probability that a randomly selected orange is organic is calculated by applying the conditional probability formula:

P(B|A) =P(A⋂B)/P(A) = 0.11/0.3 = 0.37

=> Option D is correct

Hope this helps!

3 0
2 years ago
The following data provides the number of calories of various types of frozen bars{25,35,200,280,80,80,90,40,45,50,50,60,90,100,
Korolek [52]
A] The histogram of the data set given is shown on the attachment.
(<span>25,35,200,280,80,80,90,40,45,50,50,60,90,100,120,40,45,60,70,350</span>)
Measures of the center are:
25,75,125,175,225, 275, 325
The histogram is J-shaped

b] The measures of centers can on be obtained through Histogram, this is because they are not random numbers, they have to be generated from the histogram.

5 0
3 years ago
Which of the following functions best describes this graph?
Katena32 [7]

Answer:

C

Step-by-step explanation:

If you fill in x=0, you are left with the y intercept. In the picture you can see it must be larger than y=10. This invalidates answer A and D.

The  x-coordinate top of the parabola ax²+bx+c=0 is given by y = -b/2a, so immediately we can see -b has to be positive. This leads you to answer C because -9x implies b=-9, and --9 is positive.

8 0
3 years ago
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