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3 years ago

To find the circumference of a circle the length of the diameter is used.

Mathematics

2 answers:

lutik1710 [3]3 years ago

5 0

Answer:

circumference of a circle: pi*d

d is also 2r (2 times the radius)

dangina [55]3 years ago

3 0

There are several ways to find the circumference of a circle. It depends on what information you have. Some information helps, some doesn't.

You can calculate the circumference if you know the circle's radius, or its equation, or its diameter, or the length of a piece of it and the central angle formed by the piece.

On the other hand, if you know the circle's color, or its eccentricity, those won't help at all.

You use whatever you've got.

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A source of laser light sends rays AB and AC toward two opposite walls of a hall. The light rays strike the walls at points B an

Nataly [62]

Answer:

The distance between the walls is 70 m.

Step-by-step explanation:

Given: A source of laser light is at point A on the ground between two parallel walls BE and CD . The walls are perpendicular to the ground that is

BE ⊥ ED and CD ⊥ ED

AB is a ray of light which strikes the wall on the left at point B which is 30 meters above the ground. that is BE = 30 m

AC is a ray of light which strikes the wall on the right at point C. The length of AC = 80 meters.

The ray AB makes an angle of 45 degrees with the ground that is m∠BAE = 45°

The ray AC makes an angle of 60 degrees with the ground that is m∠CAD = 60°

As shown is figure attached below.

WE have to find the distance between the walls that is Length of ED

Length of ED = EA + AD

Consider the Δ AEB,

Using trigonometric ratio,

$\tan\theta=\frac{perpendicular}{base}$

Here $\theta=45^{\circ}$ , perpendicular = 30 m and base we can find.

thus,

$\tan 45^{\circ}=\frac{30}{EA}$

We know $\tan 45^{\circ}=1$

thus, EA = 30 m

Consider the Δ AEB,

Using trigonometric ratio,

$\cos\theta=\frac{base}{hypotenuse}$

Here $\theta=60^{\circ}$ , hypotenuse = 80 m and base we can find.

thus, $\cos 60^{\circ}=\frac{base}{80}$

We know, $\cos 60^{\circ}=\frac{1}{2}$

thus, Base = 40 m

AD = 40 m

Thus, the distance between the walls that is the length of ED = 30 + 40 = 70 m

4 0

3 years ago

I need help solving for X and Y

IgorC [24]

Answer:

y = 4 ; x = 4√2

Step-by-step explanation:

This is a 45° 45° 90° triangle meaning the legs will equal each other and the hypotenuse will be equal to the length of the legs times √2.

4 0

3 years ago

Answer the following

serg [7]

Answer:

Step-by-step explanation:

61)4 + 5(p-1) = 34 {Distributive property}

4 + 5p - 5 = 34 {Add like terms}

5p - 1 = 34 {Add 1 to both sides}

5p = 34+1

5p = 35 {Divide both sides by 5)

p = 35/5

p = 5

62) Smaller angle = x

Larger angle = x +50

x + (x +50) = 180 {Supplementary angles}

2x + 50 = 180 {Subtract 50 from both sides}

2x = 180 -50

2x = 130

x = 130/2

x = 65

Smaller angle = 65

Larger angle = 65 + 50 = 115

63) ΔBAD , ΔBCD

BA ≅ BC

∠A ≅ ∠C

AD ≅ CD

ΔBAD ≅ΔBCD {S A S congruent}

64) Selling price = ₹ 5500

Profit = 10%

$Cost price = \frac{100}{100+profit}*SP\\\\= \frac{100}{100+10}*5500\\\\=\frac{100}{110}*5500\\\\=100*50\\\\=5000=$

6 0

2 years ago

employee earns 315.00dollars in his 1st week, then 280.00 dollars in the second week and 390.00 dollars the last week what is th

diamong [38]

315+280+390=985
985/3
328.3

5 0

3 years ago

Read 2 more answers

The student to teacher ratio is 19:1 at school and there is a total of 400 students and teachers. How many teachers and how many

Jet001 [13]

Suppose there are 19x students, 1x teachers
19x+1x=400
20x=400
x=20
there are 20 teachers and 380 students.

6 0

3 years ago