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3 years ago

Wil give bianleast

Mathematics

1 answer:

mote1985 [20]3 years ago

7 0

Answer:

256

Step-by-step explanation:

Given

$2^{8}$ ( means 2 multiplied by itself 8 times ), that is

= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 ( evaluate in pairs )

= 4 × 4 × 4 × 4

= 16 × 16

= 256

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What is the value of tan(60°)? One-half StartRoot 3 EndRoot StartFraction StartRoot 3 EndRoot Over 2 EndFraction StartFraction 1

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Answer:

$\sqrt3$

Step-by-step explanation:

To find:

The value of $tan60^\circ$ = ?

Solution:

Kindly consider the equilateral $\triangle ABC$ as attached in the answer area.

Let the side of triangle = $a$ units

Let us draw the perpendicular from vertex A to side BC.

It will divide the side BC in two equal parts.

i.e. BD = DC = $\frac{a}{2}$

Using Pythagorean Theorem in $\triangle ABD$ :

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}$

Side AD = $\frac{\sqrt3}{2}a$

Using Trigonometric ratio:

$tan\theta = \dfrac{Perpendicular}{Base}$

$tanB = \dfrac{AD}{BD}$

Putting the values of AD and BD:

$tan60^\circ=\dfrac{\frac{\sqrt3}{2}a}{\frac{1}{2}a}\\\Rightarrow tan60^\circ = \bold{\sqrt3}$

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Julie and her brother go to Atlanta to ride the SkyView Ferris wheel. It measures 200 feet in diameter.

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Answer:

Question 1: A)we need to use the CIRCUMFERENCE.

B) Circumference of a Circle = 2 π R

c)The distance traveled in 1 rotation = 628 ft

2(a)AREA of a CIRCLE = π R²

(b)Area the wheel takes up is 31,400 sq ft

Step-by-step explanation:

Question 1:

Diameter = 200 ft

Now,as Diameter = 2 x Radius

So, R = D/2 =200/2 = 100 ft

A) Distance around the wheel = The length of the boundary of the wheel.

So, we need to use the CIRCUMFERENCE.

B) Circumference of a Circle = 2 π R

Here R = Radius and use π = 3.14

C) The distance traveled in 1 rotation = 1 completer length of boundary

Now, Circumference = 2 π R = 2 x (3.14) x (100 ft) = 628 ft

Question 2:

A) Space the Ferris Wheel takes up = Area of the wheel

AREA of a CIRCLE = π R²

B) AREA of a CIRCLE = π R²

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