A tire has a radius of 20 inches. What is the Circumference of the tire?

Answer:

{3π/4 , 7π/4}

Step-by-step explanation:

2 + Tanθ = 1

tan θ = 1 -2

Tanθ = -1

θ = 3π/4 and 7π/4

I'll do problem 13 to get you started.

The expression [tex]4\left(\frac{2^n}{7^n}\right)[/tex] is the same as [tex]4\left(\frac{2}{7}\right)^n[/tex]

Then we can do a bit of algebra like so to change that n into n-1

[tex]4\left(\frac{2}{7}\right)^n\\\\4\left(\frac{2}{7}\right)^n*1\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{0}\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{1-1}\\\\4\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{1}*\left(\frac{2}{7}\right)^{-1}\\\\4*\left(\frac{2}{7}\right)^{1}\left(\frac{2}{7}\right)^n*\left(\frac{2}{7}\right)^{-1}\\\\\frac{8}{7}\left(\frac{2}{7}\right)^{n-1}\\\\[/tex]

This is so we can get the expression in a(r)^(n-1) form

Note that -1 < 2/7 < 1, which satisfies the condition that -1 < r < 1. This means the infinite sum converges to some single finite value (rather than diverge to positive or negative infinity).

We'll plug those a and r values into the infinite geometric sum formula below

S = a/(1-r)

S = (8/7)/(1 - 2/7)

S = (8/7)/(5/7)

S = (8/7)*(7/5)

S = 8/5

S = 1.6

------------------------

Answer in fraction form = 8/5

Answer in decimal form = 1.6

Answer:

Radius = √75 or 5√3 or 8.7

Step-by-step explanation:

This forms a right triangle meaning you can use Pythagorean Theorem to solve for the missing side which, in this case, will equal the radius.

Let a = radius

a² + b² = c²

a² + 11² = 14²

a² + 121 = 196

a² = 75

a = √75 = 5√3 ≈ 8.7

Answer:

radius = ab = √75

Step-by-step explanation:

Triangle ABC is a right triangle so to find the radius, aka one of the sides of the triangle, we need to use the Pythagorean theorem.

ac^2 = bc^2 + ab^2 Pythagoras Theorem

14^2 = 11^2 + ab^2 Substitution

196 = 121 + ab^2 Alg

75 = ab^2 Alg

ab = √75 Alg = radius

Answer:

Answer:

0.9375

Step-by-step explanation:

I know!

Answer:

1.25 x .75 = 0.9375

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

X + 2y = 13

Since x = 3

3 + 2y = 13

2y = 13 - 3

2y = 10

Divide both sides by 2

Y = 5

Answer:

Step-by-step explanation:

(3x-2)(5x+4)

=3x(5x+4)-2(5x+4)

=3x*5x+3x*4-2*5x-4*8

=15x^2+12x-10x-32

=15x^2+2x-32

Answer:

3/1

Step-by-step explanation:

27/9=3. However, the question wants it in fraction form. Next, just convert 3 into a fraction to get 3/1.

Answer:

10.

Step-by-step explanation:

It's the right end of the box.

Answer:

n=0

Step-by-step explanation:

is 0 because always the number is 0 in this case

Answer:

x = -3/4

Step-by-step explanation:

8x = -6

Divide each side by 8

8x/8 = -6/8

x = -3/4

Answer:

-3/4

Step-by-step explanation:

8x = -6

x = -6/8 = -3/4

x = -3/4

You cannot force me to answer these questions.

bestie that is worth more than 15 pts

Answer:

$30

Step-by-step explanation:

Total amount paid by the hire purchase scheme:

$60 + 6 * $45 = $60 + $270 = $330

Total amount paid in just the cash price:

$300

Difference:

$330 - $300 = $30

Answer:

[tex]midpoint = ( \frac{x _{1} + x _{2}}{2} , \: \frac{y _{1} + y _{2}}{2} ) \\ = ( \frac{7 + 9}{2} , \: \frac{4 + - 1}{2} ) \\ = (\frac{16}{2} , \: \frac{3}{2} ) \\ = (8, \: 1.5)[/tex]

Answer:

Step-by-step explanation:

A

Answer:

[tex]0 \le t < \infty[/tex]

Step-by-step explanation:

Given

[tex]c(t) = 3t[/tex]

Required

The domain

From the question, we understand that t represents number of yards/packages (depending on the store)

This means that:

[tex]t \ge 0[/tex] ---- the start value

[tex]t < \infty[/tex] --- the end value

Rewrite [tex]t \ge 0[/tex] as [tex]0 \le t[/tex]

So, we have: [tex]0 \le t[/tex] and [tex]t < \infty[/tex]

Hence, the domain is: [tex]0 \le t < \infty[/tex]

Answer:

[tex] \blue{x = 11.4} [/tex]

Step-by-step explanation:

See the figure.

The right triangles has legs of lengths 9 and 7.

[tex] 9^2 + 7^2 = x^2 [/tex]

[tex] x^2 = 130 [/tex]

[tex] x = \sqrt{130} [/tex]

[tex] \blue{x = 11.4} [/tex]

Answer:

20

Step-by-step explanation:

The number of Customers that visited the store during the eight hour if the median number of customers didn't change is; C: 20

We are given the data representing the first seven hours as; 12, 15, 18, 20, 23, 23, 28. Here; n=7

Thus;

Median = (n + 1)/2 = (7 + 1)/2

Median = 4th term

Thus, the median is 20.

When one data is added, n = 8. Thus;

Median will be the average of the 4th and 5th term. Since the median does not change, it means that the median number of customers per hour is still 20.

Read more baout Median at; https://brainly.com/question/1552529

Answer:

Please be careful with your typing [f(x)=-sqrt(x)+6 ... right? g(x)=-4*sqrt(x)-3 ... or -4*sqrt(x)+3 ... one or the other, right?

If so, you are dilating by a factor of 4, -1 versus -4 as multiplier of sqrt(x); and, translating up 3 units (6 versus 3) or 9 units (6 versus -3).

Step-by-step explanation:

Answer:

-2x+2

Step-by-step explanation:

f(x) = -4x+3 and g(x) = 3 +2x-4

Note what you put for g(x) simplifies to 2x-1

(f+g) (x) =  -4x+3+  3 +2x-4

Combine like terms

            = -2x+2

Answer:

2nd line

Step-by-step explanation:

Answer:

x = -3

x = 7

Step-by-step explanation:

If either term is zero the product is zero

(2x + 6)(x - 7) = 0

2x + 6 = 0

2x = -6

x = -3

x - 7 = 0

x = 7

Answer: a. 5+7x=y b.5+(7•6)= 47

Step-by-step explanation:

Answer:

Step-by-step explanation:

A.  i would do  7(2) 7 inches in 1 year aka 7 times 2 which 14 inches in 2 years

B. 12 inches is a foot keep that in mind. they want to know how many feet would it be in 6 years. so 7 inches times 6years is 42inches. so 42 inches divided by 12 cause there is 12 inches in a foot is 3.5 so three and a half feet in 6 years

-lots of love,

                         makayla<3

Answer:

5A) radius = 9 ft

5B) diameter = 18 ft

5C) fencing length = 56.52 ft

5D) 6.35 days

Step-by-step explanation:

Radius is given when it is 9 ft of rope (outside to center of circle)

Diameter is two times radius = 18.

Circumference(fence length) = 2 * 3.14 * 9 = 56.52.

Area circle = 3.14*(9*9) = 254.34. 254.34/40 = 6.35

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

perimeter of rectangles = 2 ( l + b)

34 = 2 ( x + 2 + 3x - 4 )

34 = 2 ( 4x - 2 )

34 = 8x - 4

38 = 8 x

38/ 8 = x

thus , x = 4.75 inches

Answer:

x=19/4

Step-by-step explanation:

perimeter is the sum of all sides

so

perimeter given is 34 = (x+2)+(x+2)+(3x-4)+(3x-4)

34=8x-4

34=8x

x=34/8 which reduces to 19/4

Answer:

X is 2

Step-by-step explanation:

the equation is Y = 19X

when X=5, Y=95

when Y=38, X = 38/19 = 2

Answer:

Step-by-step explanation:

Answer:

x = 4.6439

Step-by-step explanation:

2^x =25

Take the log of each side

log  2^x = log 25

We know that log a^b = b log a

x log 2 = log 25

Divide each side by log 2

x = log 25  / log 2

x =4.643856

Rounding to 4 decimal places

x = 4.6439

Answer:

x = 4.6439

Step-by-step explanation:

[tex]2^{x} =25log 2^x = log 25\\log 2 = log 25x = log 25 / log 2\\x =4.643856\\x = 4.6439[/tex]