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svlad2 [7]
3 years ago
14

What is measure of angle R?

Mathematics
1 answer:
Aleks [24]3 years ago
4 0
The given triangle is a right triangle.
The tangent of an angle of right triangle is obtained by dividing the opposite side of the angle with the adjacent side of the angle.
The opposite side of angle R is 5 cm and the adjacent side of angle R is 12 cm.

tan R = 5 / 12 = 0.4167
R = arctan (0.4167) = 22.6 degrees.
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Answer:

what on the planet is the question

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Polygon q is a scaled copy of polygon p using a scale factor of 1/2 polygon q’s area is what fraction of polygon p’s area?
san4es73 [151]

Answer:

Polygon q’s area is one fourth of polygon p’s area

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

x-----> polygon q’s area

y-----> polygon p’s area

so

z^{2} =\frac{x}{y}

In this problem we have

z=\frac{1}{2}

substitute

(\frac{1}{2})^{2} =\frac{x}{y}

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Polygon q’s area is one fourth of polygon p’s area

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3 years ago
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A x 10^5 + 2a x 10^4 = 7200000 and a x 10^5 - a x 10^4 = 5400000<br> Find the value of a
Anestetic [448]

Answer:

60

Step-by-step explanation:

Looking at case 1.

a * 10^5 + 2a * 10 ^4= 7200000

a * 10 * 10^4 + 2a *10 ^4 =7200000

[10a + 2a] * 10^4= 7200000

12a= 7200000/ 10000

12a= 720

a= 720/12 = 60

Looking at case 2,

a * 10^5 - a * 10^4 = 5400000

a * 10 * 10^4 - a *10^4 = 5400000

10a* 10^ 4 - a * 10^ 4 = 5400000

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3 years ago
What are the roots of the equation 2x^2+x=6​
tia_tia [17]

Answer:

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Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 (2x^{2} +  x) -  6

Step  2  :

Trying to factor by splitting the middle term

2.1     Factoring  2x^{2}+x-6

The first term is,  2x^{2}  its coefficient is  2 .

The middle term is,  +x  its coefficient is  1 .

The last term, "the constant", is  -6

Step-1 : Multiply the coefficient of the first term by the constant   2 • -6 = -12

Step-2 : Find two factors of  -12  whose sum equals the coefficient of the middle term, which is   1 .

     -12    +    1    =    -11

     -6    +    2    =    -4

     -4    +    3    =    -1

     -3    +    4    =    1    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  4

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Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (2x-3)

             Add up the last 2 terms, pulling out common factors :

                   2 • (2x-3)

Step-5 : Add up the four terms of step 4 :

                   (x+2)  •  (2x-3)

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(2x - 3)(x + 2)

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Answer: A.

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