All categories

2 years ago

Can u explain how to solve this?

Mathematics

1 answer:

svlad2 [7]2 years ago

5 0

Answer: B.pi/2

ABCD is a square

=> Δ ABD is a isosceles right triangle at A

using pythago theorem, we have:

AB² + AD² = BD²

=> 2AD² = 4

⇔ AD² = 2

⇒ AD = √2

through O, draw EF parallel to AD and BC

=> EF is diameter

because EF//AD => EF = AD = √2 (because circle O is inscribed the square ABCD)

=> the area of the circle is $S=\frac{(\sqrt{2})^{2} }{4}.\pi =\frac{\pi }{2}$

Step-by-step explanation:

You might be interested in

How can i find the volume of this figure help please

valentinak56 [21]

Answer:

The answer is 463 inch cubed

Step-by-step explanation:

you do 8 x 8 x 7 which will give you 448 volume for just the cube.

then you do 5 x 3 x 1 = 15

you add 448 with 15 you will get 463

6 0

3 years ago

A pillar is 15 m high the diameter is 84 cm what is the surface area

NARA [144]

Answer:

1416 cm

Step-by-step explanation:

Use calcutor shows everthinh

3 0

1 year ago

2(x + 2) + 2 = 2(x + 3) + 1

Maslowich

Answer:

No solution

Step-by-step explanation:

5(x + 4) – x = 4(x + 5) – 1

x = ?

Solution:

5(x+4)−x=4(x+5)−1

Apply Distributive property:

(5)(x)+(5)(4)−x=(4)(x)+(4)(5)−1
5x+20−x=4x+20−1

Combine Like Terms:

(5x−x)+(20)=(4x)+(20−1)
4x+20=4x+19
4x+20=4x+19

Subtract 4x from both sides:

4x+20−4x=4x+19−4x
20=19

Subtract 20 from both sides:

20−20=19−20
0=−1

There isn't any solutions.

6 0

2 years ago

write the equation in slope intercept form for the line that passes through (-2,2) and is parallel to 2x+4y=16

ratelena [41]

Answer:

<h3>Step 1 - Find the gradient of 2x + 4y = 16</h3>

2x + 4y = 16

4y = 16 - 2x

y = 4 - 1/2x

gradient = -1/2

<h3>Step 2 - Find the Equation</h3>

y - y1 = m(x - x1)

m = gradient, (x1, y1) = (-2,2)

y - 2 = -1/2 (x + 2)

y - 2 = -1/2x - 1

y = -1/2x + 1 → ANSWER

Hope it helps!

7 0

2 years ago

A flag pole has a rope that attaches to the ground from the top of the flagpole the rope create a 30° angle with the ground and

OLEGan [10]

Answer:

$5.77\ \text{m}$

$11.54\ \text{m}$

Step-by-step explanation:

p = Height of pole

h = Length of role

b = Distance between the bottom of the rope and bottom of the pole = 10 m

$\theta$ = Angle between the rope and the ground = $30^{\circ}$

$\tan\theta=\dfrac{p}{b}\\\Rightarrow p=b\tan\theta\\\Rightarrow p=10\tan30^{\circ}\\\Rightarrow p=5.77\ \text{m}$

The length of the rope is $5.77\ \text{m}$

$\cos\theta=\dfrac{b}{h}\\\Rightarrow h=\dfrac{b}{\cos\theta}\\\Rightarrow h=\dfrac{10}{\cos30^{\circ}}\\\Rightarrow h=11.54\ \text{m}$

The length of the pole is $11.54\ \text{m}$

3 0

3 years ago