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3 years ago

Solve the right triangle ABC with right angle C if B = 30° and c = 10.

Mathematics

1 answer:

mart [117]3 years ago

6 0

Step-by-step explanation:

Answer:

Last choice is correct.

Step-by-step explanation:

Given that ∠C=90°, ∠B=30°, c=10

We know that sum of all angles in a triangle is 180 degree.

∠A+∠B+∠C=180°

∠A+∠30°+∠90°=180°

∠A+∠120°=180°

∠A=60°

Now we can use sin or cos whichever applicable to find missing sides

2b=10

b=5

Similarly

a=8.6602

Hence last choice is correct.

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What's the y-intercept of the equation: 5x+2y=20 A. (4,0) B. (5,0) C. (0,2) D. (0,10)

AveGali [126]

Answer: D. (0,10)

Why:
Your given equation is 5x+2y=20, so in order to find the y-intercept, we must put it in slope-intercept form, a.k.a. y=max+b.

To do this, subtract 5x from both sides. This will then give you 2y=-5x+20.

And to fully simply, divide both sides by 2. Finally, you get y=(-5/2)x+10. And since we know b in slope-intercept form is the y-intercept, and 10 is b in our final function/equation. We get the answer of y-intercept=(0,10)

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3 years ago

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Gre4nikov [31]

Answer:

Step-by-step explanation:

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3 years ago

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

Charra [1.4K]

Answer:

52.33% is the correct answer.

Step-by-step explanation:

Given that:

Area of triangle = 24 sq units

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

To find: The percentage of triangle covered by circle.

Solution: 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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4 years ago

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Aleks04 [339]

Answer:

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3 years ago

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lbvjy [14]

Answer:

0.08%

(might be wrong)

Step by step explanation:

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0.04+0.2=3x

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4 years ago