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Firdavs [7]
2 years ago
9

Solve for x geometry

Mathematics
2 answers:
Nikitich [7]2 years ago
7 0

Answer:

X=19

Step-by-step explanation:

A full line must be 180 degrees and you already know that part of the line is 66 degrees. You do 180 minus 66 which gives you 114. That is the other unknown angle but it is asking for x, not the angle. You do 114 divided by 6 to get 19. Therefore, x=19.

AVprozaik [17]2 years ago
4 0

Answer:

Step-by-step explanation:

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

ln

(

6

x

)

=

ln

(

66

)

Expand

ln

(

6

x

)

by moving

x

outside the logarithm.

x

ln

(

6

)

=

ln

(

66

)

Divide each term by

ln

(

6

)

and simplify.

Tap for more steps...

x

=

ln

(

66

)

ln

(

6

)

The result can be shown in multiple forms.

Exact Form:

x

=

ln

(

66

)

ln

(

6

)

Decimal Form:

x

=

2.33829083

…

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Veseljchak [2.6K]

Answer:

The area of the rectangle <em>TOUR</em> is 80.00 unit².

Step-by-step explanation:

The area of a rectangle is computed using the formula:

Area\ of\ a\ Rectangle=length\times width

Since the dimensions of the rectangle are not provided we can compute the dimensions using the distance formula for two points.

The distance formula using the two point is:

distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

Considering the rectangle <em>TOUR</em> the area formula will be:

Area of Rectangle <em>TOUR</em> = <em>TO × OU</em>

The co-ordinates of the four vertices of a triangle are:

T = (-8, 0), O = (4, 4), U = (6, -2) and R = (-6, -6)

Compute the distance between the vertices <em>T</em> and <em>O</em> as:

TO=\sqrt{(4-(-8))^{2}+(4-0)^{2}}\\=\sqrt{12^{2}+4^{2}} \\=\sqrt{160} \\=4\sqrt{10}

Compute the distance between the vertices <em>O </em>and <em>U</em> as:

OU=\sqrt{(6-4)^{2}+(-2-4)^{2}}\\=\sqrt{2^{2}+6^{2}} \\=\sqrt{40} \\=2\sqrt{10}

Compute the area of rectangle TOUR as follows:

Area\ of\ TOUR=TO\times OU\\=4\sqrt{10}\times 2\sqrt{10}\\=80\\\approx80.00 unit^{2}

Thus, the area of the rectangle <em>TOUR</em> is 80.00 unit².

6 0
3 years ago
209.106 in word form
Scrat [10]
In mathematics, number with a symbol of a point, is expressed in decimal form. When they are read, the numbers after the decimal point are read digit after digit. Therefore, in word form, the number is read as: Two hundred nine point one zero six.
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Ahmed wrote the two expressions below.
Vsevolod [243]
Put an equal sign between the two expressions, and solve for x
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Jada fills the bathtub before taking a bath and then allows the water to drain when she is done. The graph below models the numb
Ket [755]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
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A test is normally distributed with a mean of 70 and a standard deviation of 10. Todd scores a 55 on the test. Select the answer
Jlenok [28]

Answer:

Todd's Z-score is - 0.27    

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<u><em>Step(i)</em></u>:-

Given data A test is normally distributed with a mean of 70 and a standard deviation of 10.

<em>Mean of the population 'μ' = 70 </em>

<em>Standard deviation of the Population ' σ ' = 10</em>

<em>let 'x' be the random variable in normally distributed</em>

<u><em>Step(ii)</em></u>:-

<em>Given raw score  'x' = 55</em>

Todd's Z-score

                      Z = \frac{x-mean}{S.D}

                     Z = \frac{55-70}{55}

                     Z = -0.27

<u><em>Final answer</em></u>:-

<em>Todd's Z-score is - 0.27        </em>            

6 0
3 years ago
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