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aev [14]
3 years ago
15

What percentage give4/7​

Mathematics
1 answer:
rosijanka [135]3 years ago
7 0

Answer:

4 / 7 = 57.142857142857% or about 57.14

Step-by-step explanation:

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What is the approximate length of arc s on the circle below? Use 3.14 for pi. Round your answer to the nearest tenth.
astraxan [27]

Answer:

B 6.3

Step-by-step explanation:

r = 8

l = 2*3.14*r

l = 50.24

s=l/360*45

s≈6.3

7 0
3 years ago
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Identify the graph of 9X^2+4xy+5y^2-40=0 and find theta to the nearest degree.
lubasha [3.4K]

Answer:

The answer is ellipse; 23° to the nearest degree ⇒ answer (d)

Step-by-step explanation:

* At first lets talk about the general form of the conic equation

- Ax² + Bxy + Cy²  + Dx + Ey + F = 0

∵ B² - 4AC < 0 , if a conic exists, it will be either a circle or an ellipse.

∵ B² - 4AC = 0 , if a conic exists, it will be a parabola.

∵ B² - 4AC > 0 , if a conic exists, it will be a hyperbola.

* Now we will study our equation:

- 9x² + 4xy + 5y² - 40 = 0

∵ A = 9 , B = 4 , 5 = 5

∴ B² - 4 AC = (4)² - 4(9)(5) = -164 < 0

∴ B² - 4AC < 0

∴ If a conic exists, it will be either a circle or an ellipse.

* To find the type of the graph lets check;

- If A and C are nonzero, have the same sign, and are not

 equal to each other, then the graph is an ellipse.

- If A and C are equal and nonzero and have the same

 sign, then the graph is a circle.

∵ A and C have same signs and are not equal

∴ The graph is an ellipse

* If we have term xy ⇒ B ≠ 0

∴ The graph is rotate by angle Ф

* To find the angle of rotation use the rule:

- cot(2Ф) = (A - C)/B

∵ A = 9 , B = 4 , C = 5

∴ cot(2Ф) = (9 - 5)/4 = 4/4 = 1

∴ tan(2Ф) = 1

∴ 2Ф = 45°

∴ Ф = 22.5° ≅ 23° to the nearest degree

* The answer is ellipse; with angle of rotation = 23°

4 0
3 years ago
How to figure out answer ?
spin [16.1K]
\sin 45=\dfrac{y}{11\sqrt6}\\&#10;\dfrac{\sqrt2}{2}=\dfrac{y}{11\sqrt6}\\&#10;2y=11\sqrt{12}\\&#10;y=\dfrac{11\sqrt{12}}{2}\\\\&#10;\tan 60=\dfrac{x}{y}\\&#10;\tan 60=\dfrac{x}{\dfrac{11\sqrt{12}}{2}}\\&#10;\sqrt3=\dfrac{2x}{11\sqrt{12}}\\&#10;2x=11\sqrt{36}\\&#10;2x=66\\&#10;x=33 \Rightarrow D&#10;

7 0
3 years ago
Find the equation of the line through M parallel to 3x+y=18
love history [14]

Answer:

3x+y=18

3xy=18

xy= 18/3

xy=6

5 0
3 years ago
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Help please question in picture
german

Answer:

220

Step-by-step explanation:

Area of square=8*20=160

Area of triangle=(6*20)/2=60

160+60

8 0
3 years ago
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