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8090 [49]
3 years ago
5

Find the measure of EACH ANGLE

Mathematics
1 answer:
liq [111]3 years ago
4 0
Angle 10 is 115
Angle 11 is 65
Angle 12 is 115
You might be interested in
-10(x+12)-11x.........................,............
NNADVOKAT [17]
-10x -120-11x
combine like terms so -10-11= -21x-120
7 0
3 years ago
Air pressure may be represented as a function of height (in meters) above the
denis-greek [22]

Answer: OPTION C.

Step-by-step explanation:

<h3> The complete exercise is: "Air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below:</h3><h3>  P(h) =P_0e^{-0.00012h} </h3><h3> In this function P_o   is the air pressure at the surface of the earth, and h is the height above the surface of the Earth, measured in meters. At what height will the air pressure equal 50% of the air pressure at the surface of the Earth"</h3><h3></h3>

Given the following function:

P(h) =P_0e^{-0.00012h}

In order to calculate at what  height the air pressure will be equal 50% of the air pressure at the surface of the Earth, you can follow these steps:

1. You need to substitute P(h)=0.5P_o into the function:

0.5P_o=P_0e^{-0.00012h}

2. Finally, you must solve for h.

Remember the following property of logarithms:

ln(b)^a=a*ln(b)\\\\ln(e)=1

Then, you get this result:

0.5P_o=\frac{P_o}{e^{0.00012h}}\\\\(0.5P_o)(e^{0.00012h})=P_o\\\\e^{0.00012h}=\frac{P_o}{0.5P_o}\\\\ln(e)^{0.00012h}=ln(2)\\\\0.00012h*1=ln(2)\\\\h=\frac{ln(2)}{0.00012}\\\\h=5576.2

7 0
4 years ago
Find the two pairs of integers whose sum is -6
MaRussiya [10]

Answer:

1, -7

Step-by-step explanation:

any whole number(s) that result in -6 will be your answer.

x+y= -6

5 0
3 years ago
Is an obtuse angle larger then acute ?and why.. plz help
Vinvika [58]
Hey there! How are you doing today?

When we are dealing with angles, it's imperative to know what measurements of angles are labeled.

There are three types of angles:
1.) Acute
2.) Right
3.) Obtuse

Let's define all three of these and then answer our question with the information given.

An acute angle is an angle that measures less than 90 degrees. An example of this is:

Ex1) A triangle has the angle measurements of 90, 45, and x. Solve for x.
Remember that the angles of a triangle must sum up to 180 degrees. To solve for x, we need to combine 90 and 45, then subtract the sum from 180.

90 + 45 = 135
180 - 135 = 45

The missing angle 'x' is 45 degrees, which is an acute angle since it measures less than 90 degrees.

Now let's move on to our second angle, the right angle. This is a pretty basic one and can be discovered without much observation or even work required.
A right angle measures 90 degrees exactly, no more and no less, and generally has a box in a corner of a geometrical figure.

Since we've covered both an acute and right angle, let's discuss what an obtuse angle is. An obtuse angle is an angle that measures more than 90 degrees. You can discover these angles in triangles, octagons, and other geometrical figures.

Now, let's review what we've learned and find our answer.

The question asks if an obtuse angle is larger than an acute angle.
Since we have learned an acute angle measures less than 90 degrees, and an obtuse angle measures more than 90 degrees, we can answer the question with:

An obtuse angle is larger than an acute angle.

I hope this helps, and feel free to comment any questions or concerns about this in the comment box below this answer.
Have a great day, Larissa!
7 0
3 years ago
What is the standard deviation of the following data set rounded to the nearest tenth?
Georgia [21]
  <span>Note that the mean (78 +90 +456 +676 + 111+ 381+ 21)/7 = 259 
The differences (in absolute value - we're going to square later so it doesn't matter) between each piece of data and the mean are 
181, 169, 197, 417, 148, 122, 238 
Square each of these and add the results together to obtain 367452 
Now your question depends on whether you want the sample standard deviation or population standard deviation - which you have not specified. In the first case divide by 6. In the second case divide by 7. We get roughly 61242 or 52493. The square root of each yields 247.47 or 229.11 depending on whether you want the sample sd or pop sd. The 4 choices imply you are looking for the latter, so the answer is A.i think</span>
5 0
3 years ago
Read 2 more answers
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