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iren2701 [21]
3 years ago
6

The sum of the measures of two complementary angles exceeds the difference of their measures by 72°. Find the measure

Mathematics
1 answer:
Zanzabum3 years ago
4 0

Answer:

36 degrees

Step-by-step explanation:

A+B=90

A-B=18

add these two equations:

2A = 108

A=54

B=36

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"Filipe" was playing with a triangle on a coordinate plane. The triangle's area is 242424 square units. The largest circle he ca
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Answer:

52.33% is the correct answer.

Step-by-step explanation:

<u>Given that:</u>

Area of triangle = 24 sq units

Center of Circle is at <em>(0, 0)</em> and the circle passes through <em>(1.2, 1.6).</em>

<u>To find:</u> The percentage of triangle covered by circle.

<u>Solution:</u> To find the required percentage, we need to find the area of circle.

To find the area of circle, we need the radius of circle.

Radius of circle is the distance between the center of circle and any point that lies on the periphery of the circle.

We can use Distance formula :

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Radius = \sqrt{(1.2-0)^2+(1.6-0)^2} =  \sqrt{1.44+2.56} = \sqrt{4} = 2\ units

Now, area of circle is given by the formula:

Area = \pi r^{2}

Area = 3.14 \times 2^{2} = 12.56 sq units

Percentage of Triangle covered:

\dfrac{Area\ of\ circle}{Area\ of\ triangle}\times 100\\\Rightarrow \dfrac{12.56}{24}\times 100\\\Rightarrow 52.33\%

Hence, 52.33% is the correct answer.

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Jada solved the equation Negative StartFraction 4 over 9 EndFraction = StartFraction x over 108 EndFraction for x using the step
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Use pascal's triangle to expand the binomial <br><br> (d-5y)^6<br><br> show work.
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In attached file you can see Pascal's triangle. Explanation for this triangle is following:

  1. coefficient in 0th row is (a+b)^0=1
  2. coefficients in 1st row are coefficients of (a+b)^1=1\cdot a+1\cdot b
  3. coefficients in 2nd row are coefficients of (a+b)^2=1\cdot a^2+2\cdot ab+1\cdot b^2
  4. coefficients in 3rd row are coefficients of (a+b)^3=1\cdot a^3+3\cdot a^2b+3\cdot ab^2+1\cdot b^3 and so on
  5. coefficients in 6th row are coefficients of (a+b)^6=1\cdot a^6+6\cdot a^5b+15\cdot a^4b^2+20\cdot a^3b^3+15\cdot a^2b^4+6\cdot ab^5+1\cdot b^6.

Then

(d-5y)^6=\\=1\cdot d^6-6\cdot d^5\cdot 5y+15\cdot d^4\cdot (5y)^2-20\cdot d^3\cdot (5y)^3+15\cdot d^2\cdot (5y)^4-6\cdot d\cdot (5y)^5+1\cdot (5y)^6.

Simplify it:

(d-5y)^6=d^6-30d^5y+375d^4y^2-2500d^3y^3+9375d^2y^4-18750dy^5+15625y^6.

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3 years ago
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