What is the answer to 9.99999999×9.999999999

Indicate a general rule for the nth term of the sequence a1 = 2 and r = √3.

pantera1 [17]

It is given in the question that,

$a_{1} = 2, r = \sqrt 3$

Since we have the value of r given, so we have to use the formula to find the nth term of the geometric progression, which is

$a_{n} = a(r)^{n-1}$

Substituting the values of a and r, we will get

$a_{n} = 2( \sqrt 3)^{n-1}$

So the correct option is the third option .

3 0

3 years ago

Does anybody know the answers to these? will mark brainliest!

jeyben [28]

Answer:

1.

Tan 45=√2/n

n=√2

again

sin 45=√2/m

m=2

answer: m=2,n=√2

2.

sin 45=x/3

x=3/√2=3√2/2

y=3√2/2

ans:x=3√2/2,y=3√2/3

3.

sin 45=a/4

a=4/√2

b=4/√2

ans:a=4/√2,b=4/√2

4.

b=4 base sides of isosceles triangle

sin 45=4/a

a=4√2

ans:a=4√2 and b=4

5 0

3 years ago

The outer and inner triangles are both equilateral and the circle touches all three sides of the outer triangle. If the area of

Brrunno [24]

Answer:

The area of outer Δ = 40 cm²

Step-by-step explanation:

∵ Area of the small triangle = 10 cm²

If we join the center of the circle with the 3 vertices of the inner Δ

These 3 segments are the radii of the circle

Now the inner triangle has 3 isosceles Δ their sides are r , r and s1 with vertex angle 120° ⇒ (360° ÷ 3 = 120°)

Where r is the radius of the circle and s1 is the side of the inner triangle

By using cosine rule

(s1)² = r² + r² - 2r²cos120 = r² + r² - 2r² (-0.5) = r² + r² + r² = 3r²

∴ s1 = r√3

∵ The radius of the circle ⊥ to the side of the outer Δ because the side of the outer Δ is a tangent to the circle

If we join a vertex of the outer Δ with the center of the circle

We will have a right angle triangle of two legs r and half s2 with angle 60° (120° ÷ 2 )between them ⇒ s2 is the side of outer Δ

∴ tan 60° = 1/2 (s2) ÷ r ⇒ √3 = 1/2 (s2) ÷ r = (s2)/2r

∴ s2 = 2r√3

∴ s2 : s1 = 2r√3 ÷ r√3 = 2 : 1

∴ The side of the outer Δ is double the side of the inner Δ

By using similarity ratio

A2/A1 = (s2/s1)² ⇒ A2 and A1 are the areas of outer and inner triangles

∴ A2 : A1 = (2/1)² = 4/1

∴ A2 = 4 A1

∴ A2 = 4 × 10 = 40 cm²

5 0

3 years ago

Find the area pf a trapezoid with a base of 26.7 ft , a height of 15.4 and top of 9.9 ft

evablogger [386]

Hello!

To find the area of the trapezoid, you use the formula A=1/2h(a+b), where a and b represent the two base lengths.

Since we already know the two bases and the height, we can just plug them into the equation to find the area.

A=1/2·15.4(26.7+9.9)
A=1/2·15.4(36.6)
A=1/2·563.64
A=281.82

The area is 281.82 ft².

I hope this helps!

8 0

3 years ago

Please help me out!!!!!!!!!!!!

Lesechka [4]

9514 1404 393

Answer:

see below

Step-by-step explanation:

A number line usually has numbers increasing from the right. If each unit on the number line represents $100, then a gain of $500 would be represented by the point at +5 units (right of 0). The loss would be represented by a point at -5 units, located left of 0.

The points are equidistant from 0 in opposite directions.

3 0

3 years ago