Help lots of point + brainliest plz <br><br> write in slope intercept and standard form

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

Ratling [72]

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:

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

5 0

3 years ago

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The rectangles below have the same perimeter.

attashe74 [19]

Answer:

32 mm²

Step-by-step explanation:

perimeter of left rectangle = 2(9 mm + 3 mm) = 24 mm

length of right rectangle = L

perimeter of right rectangle = 2(L + 4 mm) = 2L + 8

perimeter of right rectangle = 24 mm

The perimeter of the right triangle is 2L + 8 and also 24, so 2L + 8 must equal 24. We can solve for L and find the length of the right rectangle.

2L + 8 = 24

2L = 16

L = 8

area of right triangle = length × width

area = 8 mm × 4 mm

area = 32 mm²

7 0

1 year ago

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X + 4y = 16 and 2x + 12y = 48 What is the value of x+y in the solution of the system?

likoan [24]

Answer:

x = − 4y + 16

x = − 6y + 24

Step-by-step explanation:

Let's solve for x.

x + 4y = 16

Step 1: Add -4y to both sides.

x + 4y + − 4y = 16 + − 4y

x = − 4y + 16

Answer:

x = − 4y + 16

Let's solve for x.

2x + 12y = 48

Step 1: Add -12y to both sides.

2x + 12y + − 12y = 48 + − 12y/2x= − 12y + 48

Step 2: Divide both sides by 2.

2x/2 = − 12y + 48/2x = − 6y + 24

Answer: x = − 6y + 24

( I hope this was helpful) >;D

8 0

3 years ago

You are creating a decorated rope that is at least 20 feet long to create a rope you are using beads that are 6 inches long writ

Nitella [24]

Answer:

The number of beads used must be at least 40 to make a decorated rope of at least 20 feet length. The inequality is:

$6n\geq 240\\n\geq 40$

Step-by-step explanation:

Let the number of beads used be 'n'.

Now, length of 1 bead = 6 in

∴ Length of 'n' beads = $6\times n=6n\ in$

Now, minimum length of rope is 20 ft. Converting feet to inches, we get:

$20\ ft =20\times 12=240\ in$

Now, beads are inserted in the rope. So, the length of rope is same as the length of all the beads joined together.

As per question, length must be at least 20 ft or 240 in.

Therefore, the length of all beads joined together must be at least 240 inches. This gives,

$6n\geq 240\\n\geq \frac{240}{6}\\n\geq 40$

Therefore, the number of beads used must be at least 40 to make a decorated rope of at least 20 feet length.

5 0

4 years ago

7

postnew [5]

6.75 ghubvyubbbgyyvhguhb

3 0

3 years ago

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Help lots of point + brainliest plz write in slope intercept and standard form