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Pie
3 years ago
5

Brainlist for first answer! For my lil' sis.

Mathematics
1 answer:
mars1129 [50]3 years ago
5 0
1. 6
2. 9
3. 4
4. 6
5. 6
6. 4
7. 6
8. 6
9. 6
10. 4
11. 4
12. 6
13. 6
14. 4
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PLEASE HELP! WILL MARK BRAINLIEST!!
adoni [48]

Answer:

41.04 meters

Step-by-step explanation:

The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other the given angle is the included angle. The initial position is given by A. The tree is denoted as C and the fence post is denoted as B. Since the use of sine rule will complicate the question, it will be easier to solve this question using the cosine rule. Therefore, cosine rule will be used to calculate the length of BC. The cosine rule is:

BC^2 = AB^2 + AC^2 - 2*AB*AC*cos(BAC).

The question specifies that AC = 70 meters, BAC = 25°, and AB = 35 meters. Plugging in the values:

BC^2 = 35^2 + 70^2 - 2(35)(70)*cos(25°).

Simplifying gives:

BC^2 = 1684.091844.

Taking square root on the both sides gives BC = 41.04 meters (rounded to two decimal places).

Therefore, the distance between the point on the tree to the point on the fence post is 41.04 meters!!!

6 0
4 years ago
Determine whether the statement is true or false. Justify your answers.
marusya05 [52]

Answer:

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis. ⇒ False

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis. ⇒ False

Step-by-step explanation:

<em>Let us explain the reflection about the axes</em>

  • If a graph is reflected about the x-axis, then the y-coordinates of all points on it will opposite in sign

Ex: if a point (2, -3) is on the graph of f(x), and f(x) is reflected about the x-axis, then the point will change to (2, 3)

  • That means reflection about the x-axis change the sign of y
  • y = f(x) → reflection about x-axis → y = -f(x)

  • If a graph is reflected about the y-axis, then the x-coordinates of all points on it will opposite in sign

Ex: if a point (-2, -5) is on the graph of f(x), and f(x) is reflected about the y-axis, then the point will change to (2, -5)

  • That means reflection about the y-axis change the sign of x
  • y = f(x) → reflection about y-axis → y = f(-x)

<em>Now let us answer our question</em>

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis.

It is False because reflection about x-axis change sign of y

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the x-axis

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis.

It is False because reflection about y-axis change sign of x

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the y-axis

7 0
3 years ago
What is the value of k?<br><br> -3 ( k + 7 ) - 5k + 4 = 23
Digiron [165]

Answer: k = -5

explanation-

distribute: -3k + -21 - 5k + 4= 23

combine: -8k -17 = 23

add 17 to both sides: -8k = 40

divide both sides by -8: k=-5

6 0
3 years ago
Read 2 more answers
2 lines intersect. A line with points A, B, D intersects a line with points E, B, C at point B, forming 4 angles. In the diagram
solmaris [256]

Answer:

Its B and D

Step-by-step explanation:

7 0
3 years ago
30millimeter long suppose she uses microscope to magnify the spider 4*10 /2
Dafna11 [192]
I don't know what I've been told
7 0
3 years ago
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