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katovenus [111]
3 years ago
6

A child is sitting in a tree 8 ft off the ground. A raccoon is sighted 6.5 ft away from the base of the tree. What is the angle

of depression from where the child is sitting to the raccoon? Round to the nearest hundredth.
Mathematics
2 answers:
Katen [24]3 years ago
7 0
) 

<span>tanx = 3/10 </span>
<span>x=16.7 B </span>

<span>2) </span>

<span>tan 64 = 173/x </span>

<span>x = 84.38 D </span>

<span>3) </span>

<span>tan21 = x/442 </span>
<span>x= 169.67 B </span>

<span>4) </span>

<span>tanx = 16.2/48.3 </span>
<span>x = 18.54 A </span>


<span>5) </span>

<span>tanx = 8/6.5 </span>
<span>x = 50.91 C </span>


<span>6) </span>
<span>tan89 = 1149/x </span>
<span>x=20.06 A </span>

<span>7) </span>
<span>tanx = 21/12 </span>
<span>x= 60.26 B </span>

<span>8) B </span>

<span>9) </span>
<span>tanx = 25/63 </span>
<span>x = 21.64 C </span>

<span>10) </span>
<span>tanx = 60/15 </span>
<span>x= 75.96 D</span>
Vitek1552 [10]3 years ago
6 0
Tanx = 8/6.5 
<span>x = 50.91 </span>
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What is the equation in point slope form of a line that passes through the point (–8, 2) and has a slope of 1/2?
Kamila [148]
Point slope equation: 
y-y1=m(x-x1) 
m=slope

So we simply plug in our given information: 
x1=-8 
y1=2
m=1/2

y-2=1/2(x-(-8)  

2 minus signs next to each other make a positive 

Final answer: 
y-2=1/2(x+8)
6 0
3 years ago
6 (3x-1)-10x. with work please :)
STatiana [176]
Hey there!
Let's break this expression into two parts:
6(3x-1) and -10x

To solve the first part, we need to use the distributive property which states:
a(b+c) = ab+ac

Applying that to this problem, we have:
6(3x) + 6(-1) =
18x - 6

Now, we can take that -10x and put it right back in:

18x - 6 - 10x

Combine like terms and subtract the 10x from the 18x to get:
8x - 6

Hope this helps!
4 0
3 years ago
Find the surface area of the cylinder. Round<br> your answer to the nearest tenth.<br> 6 m<br> 7 m
faltersainse [42]
Use the formula: A=2(3.14)rh+2(3.14)r^2
A=2(3.14)(6)(7)+2(3.14)6^2
A=490.09 so the answer rounded would be 490.1
7 0
3 years ago
4.6.3 Test (CST): Linear Equations
inn [45]

The slope of the green line if the lines are perpendicular is -1/4

<h3>Perpendicular lines</h3>

For two lines two be perpendicular, the product of their slope must be -1. Let the slope of the red and green line be m1 and m2.

Given the following

Slope of red line = 4

According the definition

4m2 = -1

m2 = -1/4

Hence the slope of the green line if the lines are perpendicular is -1/4

Learn more on perpendicular lines here: brainly.com/question/1202004

#SPJ1

5 0
2 years ago
Ethan plotted points E, F, G, H, and I on a number line, as shown below. Which two points that Ethan plotted represent numbers t
nirvana33 [79]

Answer:

F and H

Step-by-step explanation:

From the image attached, the location of the points are E = -9, F = -6, G = -2, H = 6, I = 8. The law of additive inverse states that for a number a, its additive inverse is a number that when added to a equals to zero. This number is usually opposite in sign to a and of the same magnitude i.e -a. The law is given as:

a + (-a) = 0

From the points, F is the additive inverse of H, hence:

F + H = 0

6 + (-6) = 6 - 6 = 0

Hence the two points are F ad H

6 0
3 years ago
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