Find the measure of ∠ABC.

Answer:

x=80

Step-by-step explanation:

This is really simple especially since you have a right triangle, you can easily determine x using trigonometry.

The cosine of an angle in a right triangle is defined by it's adjacent side divided by the hypotenuse.

[tex] \cos(50) = \frac{51}{x} [/tex]

The angle in question is 50, the hypotenuse is the side facing the 90° angle and the adjacent side is the one next to it.

By cross multiplication i can rewrite this as:

[tex]x = \frac{51}{ \cos(50) } [/tex]

[tex]x = \frac{51}{0.64278} [/tex]

[tex]x = 79.34[/tex]

Round to the nearest ten

[tex]x = 80[/tex]

Answer:

3 ounces of trail mix per bag

Step-by-step explanation:

1 pound = 16 ounces

  2 pounds of peanuts

  2 pounds of raisins

+  1 pound of chocolate chips

= 5 pounds of trail mix

[tex]5(16) = 80[/tex]

5 pounds = 80 ounces of trail mix

80 - 5 (for Ken's sister) = 75 ounces

75 ÷ 25 = 3 ounces

Hope this helps~!

9514 1404 393

Answer:

  4/7 = $7.04/x

Step-by-step explanation:

You can write the proportion 4 different ways. Any way you write it, you want markers in corresponding positions and prices in corresponding positions.

Here the best choice is ...

  (reference quantity)/(different quantity) = (reference price)/(different price)

  4/7 = $7.04/x

__

Additional comment

Many people might choose to put the unknown in the numerator:

  x/$7.04 = 7/4

or

  x/7 = $7.04/4

Answer:  None of the above

Step-by-step explanation:

The easiest way to get the cost is to get the cost per unit times the number needed.

x  = 7($7.04/4 )  To make that into a proportion it would look like

x/7 = $7.04/4

[tex]\frac{x}{7} =\frac{7.04}{4}[/tex]

None of the answers given match that

Answer:

b. 4:02 p.m.

Step-by-step explanation:

24 + 16 = 40

4:42 - 40 minutes = 4:02

Answer:

4:02

Step-by-step explanation:

Because add 24 + 16 = 40 and then subtract 40 from 42 and then get your answer.

Using Cos formula of a triangle

let BA be x

x² = a² + b² -2abCos(90°)

x² = 64 + 196

x = √260

To find <B using Cos again

b² = a² + c² - 2acCos(B)

196 = 64 + 260 - 2 * 8 * √260 * cosB

196=324 - 16√260 *cosB

324-196=16√260CosB

8 = √260CosB

CosB = 8/√260

B = cos-¹(8/(√260))

I don't have a calculator so complete it by yourself, the calculation aspect.

Answer:

2

Step-by-step explanation:

you have $75

each game cost $30 plus $10 for shipping and handling

let x represent number of video games

30x+10=75

30x=65

x=2.5

So you can only purchase two games with the money you have

Answer:

A, .54

Step-by-step explanation:

The number line ranges from .542 up until .611, giving you three options below. For .6, it can be translated into .600 which is in bounds of the number line. Next for .604, it is still in bounds of the number line. For .54 it would be translated to .540 which is not in bounds, being before .542.

The Correct choice is ~

[tex]y = - 3x - 1[/tex]

Well, I will explain it if you want but I'm in hurry, so please bear with it ! but I assure you that the answer is correct !

Answer:

[tex]\mathsf{y=-3x-1}[/tex]

Step-by-step explanation:

[tex]\mathsf{(x_1,y_1)=(-1,2)}\\\\\mathsf{(x_2,y_2)=(1,-4)}[/tex]

[tex]\mathsf{slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-2}{1+1}=-3}[/tex]

[tex]\mathsf{y-y_1=m(x-x_1)}[/tex]

[tex]\mathsf{y-2=-3(x+1)}[/tex]

[tex]\mathsf{y=-3x-1}[/tex]

Answer:

El tren

Step-by-step explanation:

El tren in Spanish translates to "the train"

Answer:

El tren

:) hopefully this helps

Answer:

14

Step-by-step explanation:

(5 x 5 + 3) /2

(25 + 3)/2

28/2

14

Have a great day!!

Please rate and mark brainliest!!!

Answer:

Step-by-step explanation:

5/9 = 10/18 because...

5 times 2 = 10

9 times 2 = 18

Hope this helps! <3

Answer:

what the other dude said.

Step-by-step explanation:

Answer:13

Step-by-step explanation:pretty sure u divide 135 by 15

Answer:

1.743

Step-by-step explanation:

Answer:

10 US cups

Step-by-step explanation:

depends which cups you have

Answer:

no it is less

Step-by-step explanation:

Answer: There are 14 calculators in total

Step-by-step explanation:

3 3/4

Step-by-step explanation:

Minus a half on both sides to get h on it's own

3x4 +1=13

13/4 + 1/2

Multiply 1/2 by 2 to get 2/4 & add the top only

13+2=15

So, we've got 15/4, simplify to get 3 whole number and 3/4.

3 3/4

Hope this helps!

Step-by-step explanation:

aₙ = ⁿ√(3⁸⁺³ⁿ)

aₙ = (3⁸⁺³ⁿ)^(¹/ₙ)

aₙ = 3^(8/n + 3)

aₙ = 3^(8/n) 3^3

aₙ = 27 · 3^(8/n)

lim(n→∞) aₙ

lim(n→∞) 27 · 3^(8/n)

27 · 3^(8/∞)

27 · 3⁰

27

Answer: No

Step-by-step explanation:

Cherries costs $5.68 per pound so to find the price of 4.1 pounds, multiply them both together.

$5.68 x 4.1 lb. = $23.3

It costs about $23.3 to purchase 4.1 pounds so you can not buy it with $20.

Answer:

The $20 estimate is too low. $5.68 was incorrectly rounded down; it should have been rounded up to $6. The correct estimate should have been $24, so $20 will not be enough to buy 4.1 pounds of cherries

Step-by-step explanation:

Answer:

D. The graph is symmetric about the origin.

Step-by-step explanation:

got it right on edge :)

The correct option is Option D: The graph is symmetric about origin.

The function f(x) = arctan x is the inverse of tangent function y=tanx.

Checking all the options

Option A: This option is incorrect as the domain of arctan x is real number R i.e. (-∞,∞). arctan x is valid for all values of x between -∞ to ∞.

Option B: This option is incorrect as the range of the function arctan x is (-π/2, π/2) which is the restricted domain of the tan x.

Option C: This option is incorrect as the graph is continuous in R and also bounded in (-π/2, π/2) so it has no vertical asymptotes. But tan x has vertical asymptotes.

Option D: This option is correct as from the graph it is also clear that this function arctan x is symmetric about the origin. Also, function arctan x is an odd function. As odd functions are symmetric about origin, arctan x is symmetric about the origin.

Therefore The correct option is Option D: The graph is symmetric about origin.

Learn more about arctan x

here: https://brainly.com/question/8936905

#SPJ2

Answer:

[tex]y=4.5t+20\\\\t=20\\y=4.5*20+20\\y=90+20\\y=110[/tex]

Step-by-step explanation:

So when t=0 in the first equation y=20 which is the length as you are just born. How I calculate 4.5 is that I assume:

y=xt+20

for t=10 we have y=65

65=10x+20

10x=45

x=4.5

the equation becomes y=4.5t+20.

When an individual is reviewing net weight accuracy logs, the important things to do include:

Net weight simply means the weight of a product without the addition of the packaging. Net weight is also the weight of the total number of goods that are loaded into a container excluding the weight of the container.

When reviewing net weight accuracy logs, it is important things to set the number of packages that are checked by department per day and check  the net weight on label to actual net weight compared. This is to ascertain whether the net weight is correct.

Learn more about net weight on:

https://brainly.com/question/5809241

Answer:

8 + X

Step-by-step explanation:

Answer:

Q=C-28164/18.49

Step-by-step explanation:

Q=C-28164/18.49

1, 3n=8.

2, 1/4n=5.

3, n+4=9.

4, n-6=7.

5, n/3=8.

6, 5n=18.

7, n-7=16.

8, 5n=40.

9, n-8=15

10, 4x/3=28

Step-by-step explanation:

Answer:

C.No,because he used the incorrect value for it.