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Ne4ueva [31]
3 years ago
7

Solve for x. Round to the nearest tenth if necessary.

Mathematics
2 answers:
Natasha2012 [34]3 years ago
7 0

Answer:

x = 16

Step-by-step explanation:

9/12 = 12/x

9x = 144

x = 16

romanna [79]3 years ago
7 0

Answer:

tan45=X/12

X= 1×12

X=12

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Please response ASAP!<br><br> 2+3=<br> 9+2=<br> 0+1=<br> 7+4=
Stolb23 [73]

2+3=5

9+2=11

0+1=1

7+4=11

3 0
3 years ago
Read 2 more answers
What is the solution to the equation fraction 3 over 5 n minus fraction 4 over 5 equals fraction 1 over 5 n ? (1 point)
xenn [34]

Answer:

the answer is n=2

Step-by-step explanation:

so put the problem like this 3/5n - 4/5 = 1/5n

In order to get the answer u have to subtract 3/5n to both sides which makes the problem -4/5 = -2/5n and when u divide -4/5 by -2/5 it equals 2

6 0
3 years ago
There are 250 bricks used to build a wall 20 feet high.How many bricks will be used to buld a wall that is 30 fet high
Dmitry_Shevchenko [17]

Answer: 375

Step-by-step explanation:

Since we are given the information that there are 250 bricks used to build a wall 20 feet high, the number of brick used per feet will be:

= 250/20

= 12.5 bricks per feet.

Therefore, the number of bricks that will be used to buld a wall that is 30 fet high will be:

= 12.5 × 30

= 375 bricks.

Therefore, 375 bricks would be used.

3 0
3 years ago
Using distributive property 49×17+49×3=​
prohojiy [21]

Answer:

980

Step-by-step explanation:

➡ 49 × 17 + 49 × 3

➡ 49 ( 17+3 )

➡ 49 × 20

➡ 980

Answer : 980

5 0
3 years ago
Read 2 more answers
Use vectors to find the interior angles of the triangle with the given vertices. (Enter your answers as a comma-separated list.
aleksandr82 [10.1K]

Answer:

  23.20°, 71.57°, 85.24°

Step-by-step explanation:

The angle between two vectors can be found by making use of the definition of the dot product. The computed angle is the angle between the  vectors when they are placed tail-to-tail.

__

<h3>setup</h3>

<u>vector definition</u>

The second attachment shows the given points plotted as A, B, C in the order given. In the diagram, the vectors <em>a</em>, <em>b</em>, <em>c</em> are defined as BA, CB, AC, respectively. That is, the vector <em>a</em> is ...

  <em>a</em> = A -B = (-6, -9) -(2, 7) = (-6-2, -9-7) = (-8, -16)

The vectors are defined in counterclockwise order around the triangle, though that makes no difference to the calculation.

<u>dot product definition</u>

The definition of the dot product of vectors A and B is ...

  A·B = |A|×|B|×cos(θ) . . . . . where θ is the angle between the vectors

Solving for the angle, we find it to be ...

  \theta=\arccos\left(\dfrac{\vec{A}\cdot\vec{B}}{|\vec{A}|\,|\vec{B}|}\right)

__

<h3>computation</h3>

Because of the way the vectors in this solution are defined, the angle between any given pair of vectors will be an <em>exterior</em> angle of the triangle. In order to find the measure of the <em>interior</em> angle, we must reverse one of the vectors. That is, the dot product used in our computation will be the <em>opposite of the dot product</em> of the vectors we have found.

The spreadsheet shown in the first attachment does the necessary computations.

  • Each vector is the difference of successive points. (x1 -x2, y1 -y2)
  • Each dot product shown is the opposite of the dot product of successive vectors. -(x1x2 +y1y2)
  • The magnitude is computed in the usual way: the root of the sum of the squares of the components of the vector. √(x²+y²)
  • The cosine is the dot product of successive vectors, divided by each of the vector magnitudes.
  • The spreadsheet shows the angle in degrees, having converted it from the radian value produced by the ACOS function.

As a check, the spreadsheet shows the sum of the angle values. (The rounded values add up to 180.01°.)

The interior angles of the triangle are 23.20°, 71.57°, 85.24°.

_____

<em>Additional comment</em>

Another way to find the interior angles from coordinates is to consider the slope of each side of the triangle as being the tangent of the angle it makes with the x-axis. The difference of these angles can be used to find the interior angles of the triangle. Less work is involved because there is no dot-product or magnitude computation.

7 0
2 years ago
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