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3 years ago

Which graph represents the solution set of this inequality?12b - 15 > 21

Mathematics

2 answers:

Westkost [7]3 years ago

7 0

Answer:

An open circle line going passed and from 3 that way --->

Step-by-step explanation:

Add 15 to both sides

12b > 36

Divide 12 to both sides

b > 3

wolverine [178]3 years ago

5 0

Answer:

It will be an open circle going pass the 3 like this

o---------------------------------------------------------------->

Step-by-step explanation:

12b - 15 > 21

add 15:

12b - 15 > 21

+ 15 + 15

So now it's:

12b > 36

Now divide by 12:

12b > 36

/12 /12

And now your answer is:

b > 3

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A surveying team set up some equipment 104104 ft from the base of a tree in order to sight the top of the tree. From ground leve

jarptica [38.1K]

Answer:

Relative error = 0.0254 %

Step-by-step explanation:

Given details

Height of equipment from base is 104 ft

Elevation angle is 27.5 degree

From figure we have

$tan\theta = \frac{x}{104}$ .........1

$tan(27.5) = \frac{x}{104}$

x = 54.13 ft

differentiating 1st eq wrt x

$\frac{d}{dx} tan\theta = \frac{d}{dx} [\frac{x}{104}]$

$sec^2\theta \frac{d\theta}{dx} = \frac{1}{104}$

Taken $d\theta \ as \Delta x \ and\ dx = \Delta x$ for minute change

$\Delta x = 1.5% x$

$= 0.015 \times 54.13 = 0.8119 ft$

from $sec^2 \theta \frac{d\theta}{dx} = \frac{1}{104}$

$\Delta \theta = \frac{1}{104 sec^2 \theta} \Delta x$

$\Delta \theta = \frac{1}{104 \times 1.115} 0.8119$

$\Delta \theta = 0.007$

Reltaive error $= \frac{\Delta \theta}{\theta} \times 100$

$= \frac{0.007}{27.5}\times 100$

Relative error = 0.0254 %

4 0

4 years ago

I really need help!!!!

Brilliant_brown [7]

Check out the attached image for the answers.

-----------------------

Statement 2 is blank, but it has the reasoning "Corresponding angles postulate"
Because BD || AE, we know that the corresponding angles are congruent.
One pair of corresponding angles is angle 1 and angle 4. This is because they are on the same side of the transversal AC and they are both above their parallel line counter-part. Similarly, angle 2 and angle 3 are another corresponding pair.
So you'll have "angle1=angle4, angle3=angle2" in the first blank slot

-----------------------

Reason 3 is blank. The statement is that triangle ACE is similar to triangle BCD. The reason why the are similar is the AA (angle angle) similarity postulate. This says that if you know two pairs of angles are congruent, then the triangles are similar. The two pairs of angles were mentioned back on the previous line (line 2)
So you'll put "Angle-Angle Similarity Postulate" in the second blank.

-----------------------

Look at the line just above the last line. Here we have
1 + (BA/CB) = 1 + (DE/CD)
If we subtract 1 from both sides, we end up with,
BA/CB = DE/CD
which is what will go in the last blank space

Side Note: The last statement will always be what you want to prove. So you can just look at the very top of the problem where it says "Prove:" under the "Given" part. Then just copy/paste the statement you want to prove, which in this case is BA/CB = DE/CD