Find k. ..................​

Answer:

Law of sines

Step-by-step explanation:

The law of sines is a formula used to find either an angle or side in a non-right triangle.

You have to have at least three parts to use it.

For example, if you have angle A and its side (a) along with angle B, you can use it to find side b.

The value of x in 4096^x = 8 is 0.25

The equation is given as:

4096^x = 8

Express 4096 as 8^4

8^(4x) = 8

Cancel the common base

4x = 1

Divide by 4

x = 0.25

Hence, the value of x in 4096^x = 8 is 0.25

Read more about exponents at:

https://brainly.com/question/847241

#SPJ1

Step-by-step explanation:

The figure below shows a portion of the graph of the function [tex]j\left(x\right) \ = \ 4^{x-2}[/tex], hence the average rate of change (slope of the blue line) between the [tex]x[/tex] and [tex]x+h[/tex] is

                     [tex]\text{Average rate of change} \ = \ \displaystyle\frac{\Delta y}{\Delta x} \\ \\ \rule{3.7cm}{0cm} = \dsiplaystyle\frac{f\left(x+h\right) \ - \ f\left(x\right)}{\left(x \ + \ h \right) \ - \ x} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{f\left(x + h\right) \ - \ f\left(x\right)}{h} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{4^{x+h-2} \ - \ 4^{x-2}}{h} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{4^{x-2+h} \ - \ 4^{x-2}}{h}[/tex]

                                                            [tex]\\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{\left(4^{x-2}\right)\left(4^{h}\right) \ - \ 4^{x-2}}{h} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{\left(4^{x-2}\right)\left(4^{h} \ - \ 1 \right)}{h}[/tex]

Answer: Segment AD

Reason:

Any diameter goes through the center of a circle, with both endpoints on the circle edge.

Another diameter is segment FC.

Answer:

CF and AD

Step-by-step explanation:

Hello!

Given the definitions, we are simply looking for any line that goes through the center of the circle, and touches twice on the circumference of the circle.

There are only two lines that seem to go through the circle, and have endpoints on the circle:

Answer: 1.59375. Round to 1.6 if need be.

Step-by-step explanation:

Their are 384oz in 3 gallons (multiply gallons by 128)

Their are 120 seconds in 2 minutes (multiply minutes by 60)

Multiply 1.5 * 120 = 180 to get how many oz have drained after 2 minutes.

Subtract 384 - 180 = 204 to get how many oz left in the milk container.

Convert 204oz to gallons by dividing by 128. 204 / 128 = 1.59375gallons.

Answer:

23 degrees

Step-by-step explanation:

We can use basic trigonometric equations to solve for the angle x because we are given a right triangle.

I will use the sin x = opposite / hypotenuse

sin x = 5 / 13

x = sin^-1 (5 / 13)

x = 22.61986 degrees

The question requires us to round to the nearest degree which is 23.

Other alternative methods you can use include the tangent and cosine functions or the law of cosines.

Answer:

x = 23°

Step-by-step explanation:

I will use

[tex]tanx=opposite/adjacent[/tex]

[tex]tanx=\frac{5}{12}[/tex]

[tex]x=tan^{-1} (\frac{5}{12} )=tan^{-1} (0.417)=22.62^{o}[/tex]

rounded to the nearest degree : 23°

Hope this helps

Answer: is C

Step-by-step explanation:

Answer:

$0.29 and if you want to round it up then it is going to be $0.30

Step-by-step explanation:

You are asking what 1 pack of gum costs. We already know that 6 packs of gum costs $1.74 and we need to find the unit rate which is basically what one pack of gum costs so in order to do that we need to [tex]\frac{1.74}{6}[/tex] which is 0.29 and that is the cost of 1 pack of gum. Hope that helps and also can you please mark me as brainlist. Thank you

Answer:

it shrink

if the number outside the absolute value is greater than 1 it shrinks

if the numerous is smaller than 1 it stretches

remember the saying about the parent function if you run less than 1 mile you are wider than the parent

if you run more than a mile here the number is 7 so it's skinner yhan the

Step-by-step explanation:

Using a system of equations, it is found that the average of sheep A and sheep D is of 191 pounds.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are the weights of the sheep, given by A, B, C and D.

Sheep A and sheep B have an average weight of 150 pounds, hence:

[tex]\frac{A + B}{2} = 150[/tex]

A + B = 300 -> B = 300 - A

Sheep B and sheep C have an average weight of 127 pounds, hence:

B + C = 254

300 - A + C = 254

C - A = -46.

A - C = 46.

C = A - 46.

Sheep C and sheep D have an average weight of 168 pounds, hence:

C + D = 336

A - 46 + D = 336.

A + D = 382.

The average weight of sheep A and sheep D in pounds is:

[tex]\frac{A + D}{2} = \frac{382}{2} = 191[/tex]

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

Considering the area of the circles, the area of the blue section is of [tex]50\pi[/tex] cm².

The area of a circle of radius r is given as follows:

[tex]A = \pi r^2[/tex].

The area of the blue section is given by the area of the larger circle, of radius 10 cm, subtracted by the area of the two smaller circles, each with radius of 5 cm, hence:

[tex]A_G = \pi 10^2 = 100\pi[/tex]

[tex]A_S = 2 \times \pi \times 5^2 = 50\pi[/tex]

[tex]A_B = A_G - A_S = 100\pi - 50\pi = 50\pi[/tex]

The area of the blue section is of [tex]50\pi[/tex] cm².

More can be learned about the area of a circle at https://brainly.com/question/17326298

#SPJ1

The statement that cannot be true is that g cannot be parallel to h (g ║h)

On the plane ,

line b is parallel to line f.

Therefore,

b ║ f

line f is parallel to line g,

Therefore,

f ║ g

line h is perpendicular to line b.

h ⊥ b

Therefore,

Since line h is perpendicular b, line b is perpendicular to h.

b can be parallel to g on the plane.

g cannot be parallel to h because h is perpendicular to b.

h can be perpendicular to f because b is parallel to f.

learn more parallel lines here: https://brainly.com/question/3443478

#SPJ1

Answer:

2h 1' 1"

Step-by-step explanation:

1h = 1 hora

1' = 1 minute

1" = 1 secind

The sum of the three days is:

  58'  45"

+ 40'  40"

  20'  36"

= 118'  121"

118' 121" = 118' + 121"

1' = 60"

121" = 120" + 1"  = (120/60) + 1 = 2' + 1"

Then:

118' + 121" = 118' + 2' ´+ 1" = 120' + 1"

1 h = 60'

(120/60) + 1 = 2h + 1'

then:

118' + 121" = 2h + 1' + 1"

= 2h 1' 1"

Answer:

He can watch 8 movies

Step-by-step explanation:

100-40.66=59.34

6.71 x 8 = 53.68

therefore the most amount of movies he can watch is 8

The number of eats of corn which have been picked is; 16.9 corns.

According to the question; 16 eats of corn are being picked foot every 18 peppers. In essence, the ratio of corns to peppers is; 16/18.

Hence, it follows that the number of corns which corresponds to 19 peppers been picked can be evaluated as follows;

16/18 = x/19

x = (19×16)/18

x = 16.9 eats of corn.

Read more on ratios;

https://brainly.com/question/13513438

#SPJ1

Answer:

£1.44

Step-by-step explanation:

N1 = £0.12

N12 = 12 × N1 = 12 × £0.12 = £1.44

The number that would have to be added to complete the square is 81/4.

Quadratic equations are polynomials of degree 2 , It is represwented by ax² + bx +c = 0.

The quadratic equation given is

x² -9x +2 = 0

x² -9x + (81/ 4) - (81/4) + 2 = 0

x² -9x + (9/2)² - (81/4) +2 = 0

(x - 9/2)²  - (73/4) = 0

Therefore , 81/4 will be added to complete the square to solve the quadratic equation.

To know more about Quadratic Equation
https://brainly.com/question/2263981

#SPJ1

The length of the altitude to the hypotenuse of the right triangle is 3 / 5

A right triangle has one of it's angle as 90 degrees. Therefore,

area of right triangle = 1 / 2 bh

where

Hence,

6 = 1 / 2 × 4 × h

6 = 4h / 2

cross multiply

12 = 4h

divide both sides by 4

h = 12 / 4

h = 3 units

Hypotenuse² = 4² + 3²

c² = 16 + 9

c = √25

c = 5

Therefore, the length of the altitude to the hypotenuse of the right triangle is 3 / 5

learn more on right triangle here: https://brainly.com/question/11124033

#SPJ1

The income tax of Rebecca and Steve will be $27020 and $20625.

Rebecca has an income of $96500. The income tax will be:

= 28% × $96500

= 27020

Steve has an income of $82500. The income tax will be:

= 25% × $82500

= 20625

Learn more about tax on:

brainly.com/question/25783927

#SPJ1

Answer:

1. How much profit would the restaurant make by selling 100 burritos?

Answer: The restaurant would make $550

2. How much money would the restaurant take in by selling 100 burritos

Answer: The restaurant would take in $800

Step-by-step explanation:

First we have to add all the negatives.

-1.50 + -1.00

= -2.50

Now that we have that, we just need to multiply both the 8 dollars and the -2.50 by 100.

8 * 100 = 800

-2.50 * 100 = -250

Now we have the answer for the second question.

The restaurant would take in $800 before the cost of the ingredients.

But now we need to find the profit. (Which is the amount of money they made minus the cost of the ingredients and meat)

800 - 250 = 550

So the restaurant will make $550 in profit.

Hope this helped! :D

Answer:

$550

Step-by-step explanation:

Answer:

n=16

Step-by-step explanation:

Answer:

78.11 ft

Step-by-step explanation:

[tex]=125 tan 32\\=78.11 ft[/tex]

Answer:

Step-by-step explanation:

Nines: (3,6), (4,5), (5,4), (6,3)

Tens: (4,6), (5,5), (6,4)

Elevens: (5,6), (6,5)

Twelves: (6,6)

4 + 3 + 2 + 1 = 10 outcomes possible

36 outcomes total for rolling two dice.

P(sum > 8) = 10/36 or 5/18 simplified.

The dependent variable is time

The statement is given as:

"I did 60 brush strokes in 1 minute"

The dependent variable is the variable that is dependent on the action that is done.

From the statement.

The action is the strokes of brush

And time is dependent on the number of strokes

Hence, the dependent variable is time

Read more about dependent variable at:

https://brainly.com/question/1479694

#SPJ1

The ending inventory using LIFO is $920.

The ending inventory using FIFO is $1,472.

LIFO means last in first out. It means that it is the last purchased inventory that is the first to be sold. Ending inventory would consist of first purchased inventory.

23 x $40 = $920

FIFO means first in, first out. It means that it is the first purchased inventory that is the first to be sold. Ending inventory would consist of last purchased items in inventory.

23 x $64 = $1,472

To learn more about FIFO, please check: https://brainly.com/question/294129

#SPJ1

The perimeter of the hollow shape is 16d + 4(a + b + c)

The question is incomplete, and the missing parameters cannot be found.

So, I will give a general explanation on how to determine perimeter.

The given information are:

The perimeter of a right triangle that has sides a, b and c is:

P = a + b + c

Since there are 4 triangles, the perimeter of the 4 triangles is:

P = 4(a + b + c)

The perimeter of a square that has side length d is:

P = 4d

Since there are 4 squares, the perimeter of the 4 triangles is:

P = 4 * 4d

P = 16d

Add the perimeters of the squares and the triangles

P = 16d + 4(a + b + c)

Hence, the perimeter of the hollow shape is 16d + 4(a + b + c), where a, b, c and d are the unknown variables

Read more about perimeters at

https://brainly.com/question/6465134

#SPJ1