Find the length of AC

Find The Length Of AC

Answers

Answer 1

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[tex] \cot(A) = \frac{AC}{BC} \\ [/tex]

[tex] \cot(60°) = \frac{AC}{8 \sqrt{3} } \\ [/tex]

[tex] \frac{1}{ \sqrt{3} } = \frac{AC}{8 \sqrt{3} } \\ [/tex]

[tex] \frac{AC}{8 \sqrt{ 3} } = \frac{1}{ \sqrt{3} } \\ [/tex]

Multiply sides by 83

[tex]8 \sqrt{3} \times \frac{AC}{8 \sqrt{3} } = 8 \sqrt{3} \times \frac{ 1 }{ \sqrt{3} } \\ [/tex]

[tex]AC = 8[/tex]

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Related Questions

PLZ HELP! QUESTION IS BELOW!

Answers

Answer:

27

Step-by-step explanation:

4 touchdown passes=24

18 complete passes=34

8 incomplete passes=30

2 interceptions=27

Final answer=27

this question is about Ratio tables help I'm struggling​

Answers

10.5/5 = 2.1 trees per cabin
3 * 2.1 = 6.3 trees for 3 cabins
7 * 2.1 = 14.7 trees for 7 cabins

Answer:

Step-by-step explanation:

fguyy


Is the relation shown in the arrow diagram a function? Justify your answer.

Answers

Answer:

NO

Step-by-step explanation:

For a relation to be a function, every input (x-value) must have exactly one output (y-value) mapped to it or related to it.

This means, in a function, an input value cannot give you two different outputs.

Therefore, relation shown in the arrow diagram IS NOT A FUNCTION, because one of the inputs (x-value), which is 1.2, has two different outputs (y-value) that is mapped or related to it, which are 6 and 8.

4(14-5)²÷2
HELP ASAP TY

Answers

Answer:

I think it's 162.

Step-by-step explanation:

Answer:

162

Step-by-step explanation:

Following PEMDAS

4(14-5)^2 ÷2

4(9)^2 ÷ 2

4(81) ÷2

324÷2

162

Find the slope of the line that passes through (8,10) (1,1)

Answers

Answer:

9/7

Step-by-step explanation:

slope m= rise/run= (y2-y1) / (x2-x1)

m= 10-1/8-1 = 9/7

Convert 50°F to Celsius.
_____°C

Answers

Answer:

10°C

Step-by-step explanation:

(50°F − 32) × 5/9 = 10°C

Answer:

10 degrees Celsius

Step-by-step explanation:

Solve -7w + 6 = -4w2 using the Quadratic Formula.
W =
and w=

Answers

Answer:

w=7±i√47

-----------

   8

Step-by-step explanation:

evaluate the piece wise function​

Answers

Answer:

i think [tex]g(12)=\frac{5.12}{6}=10[/tex] because if t = 12, t will not satisfy the first and last equation (in the first equation, t<6 and in the last equation t> 12)

so t = 12 only satisfy the second equaton with 6≤t≤12

Step-by-step explanation:

What is the solution

Answers

Answer:

Infinite amount of solutions.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

y = -3x - 2

4y = -12x - 8

Step 2: Solve for x

Substitute in y:                              4(-3x - 2) = -12x - 8Distribute 4:                                   -12x - 8 = -12x - 8Add 8 to both sides:                     -12x = -12xDivide both sides by -12:              x = x

Here we see that x does indeed equal to x. Therefore, x can be any value.

∴ The systems of equations have infinite amount of solutions.

What is 4/6 dived by 3/12

Answers

Answer:

8/3

Step-by-step explanation:

If the value of 2x^3 is 2, then what is the value of ?

Answers

Answer:

34

Step-by-step explanation:

34

The value is 34.
Hope this helps

Part A )a painter leans a ladder up against a building. The base of the ladder is placed 7 feet from the building to reach a height of 24 feet. How long is the ladder
Part B) The painter uses the same ladder from part A, but now needs to reach a height of 19 feet.How far away does the base of the ladder need to be placed from the building? ​

Answers

Answer:

Part A). 25 feet

Part B). 16.25 feet

Step-by-step explanation:

Part A). By applying Pythagoras theorem in ΔABC,

            AC² = AB² + BC²

            AC² = (24)² + 7²

            AC² = 576 + 49

            AC = √625

                  = 25 feet

Part B). By applying Pythagoras theorem in ΔABC,

            AC² = AB² + BC²

           (25)² = (19)² + x²

           625 = 361 + x²

           x² = 625 - 361

           x = √264

           x = 16.25 feet

Los lados de un cuadrilátero mide 6,8,7,9con tal como se muestra en la figura si se realiza una producción sensual y al lado correspondiente a 7ck haora mide 12cm ¿cuánto debe medir los demás lados

Answers

Answer:

The other sides 6,8, and 9 will be11cm, 13cm, and 14cm respectively

Step-by-step explanation:

Step one:

given that the sides of the quadrilateral are:

6,8,7, and 9 in dimension.

And the side corresponding to 7 now measures 12

we may agree that the side has increased by 5cm, hence 5 has been added to that side.

Step two:

we can say that  the other side will increase as follows

[tex]side_6= 6+5= 11cm\\\\side_8=8+5=13cm\\\\side_9=9+5=14cm\\\\[/tex]

Which one does not belong?
a. 10 miles per 2 hours west
b. 33 km/s north
c. coming to a stop
d. 9 m/s upward

Answers

Answer:

i would think that the answer is c. coming to a stop

Answer: C doesn’t belong

Suppose the man in the St. Ives poem has x wives, each wife has x sacks, each sack has x cats, and each cat has x kits. Write an expression using exponents that represents the total number of kits, cats, sacks, and wives going to St. Ives.

Answers

Answer: [tex]x+x^2+x^3+x^4[/tex]

Step-by-step explanation:

As per given,

Number of wives = [tex]x[/tex]

Number of sacks = [tex]x (\text{Number of wives} )= x\times x = x^2[/tex]

Number of cats = [tex]x(\text{Number of sack})[/tex][tex]= x \times x^2=x^3[/tex]

Number of kits = [tex]x(\text{Number of cats} )=x\times x^3=x^4[/tex]

Now , the total number of kits, cats, sacks, and wives going to St. Ives = [tex]x+x^2+x^3+x^4[/tex]

Hence, the required ex[pression:  [tex]x+x^2+x^3+x^4[/tex]

Find the slope of the line that passes through (9,10) and (6,8)​

Answers

Answer:

2/3x+4

Step-by-step explanation:

Answer:

m=2/3

Step-by-step explanation:

y1-y2= 10-8=2

x1-x2=9-6=3

PLEASE HELPP WILL GIVE BRAINLIEST IF CORRECT!! no copied answers!

Answers

if x is 100 the units would be 96

if x is 102 the units would be 98.07

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Brian and Derek have summer jobs selling newspaper subscriptions door-to-door, but their compensation plans are different. Brian earns a base wage of $13 per hour, as well as $1 for every subscription that he sells. Derek gets $4 per subscription sold, in addition to a base wage of $7 per hour. If they each sell a certain number of subscriptions in an hour, they will end up earning the same amount. How much would each one earn? How many subscriptions would that be?


Brian and Derek will each earn $___ if they sell___subscriptions in an hour.

Answers

Answer: Brian & Derek will earn $25 If  they sell 8 and 12.

Step-by-step explanation:

Tom the turkey is 2.5 feet tall and he casts a shadow that is 4 feet. The Thanksgiving Parade float version of Tom is 14 feet tall. How long is the shadow of the parade float?

Answers

Answer:

22.4 ft

Step-by-step explanation:

Given

[tex]Height = 2.5ft[/tex]

[tex]Shadow = 4ft[/tex]

Required

Determine the shadow of 14 ft Tom

The given parameters represents direct variation.

Let x represents the shadow of Tom.

So, we have:

When

[tex]2.5ft\ height = 4ft\ Shadow[/tex]

[tex]14ft\ height = x[/tex]

Cross Multiply:

[tex]2.5 * x = 14 * 4[/tex]

[tex]2.5 * x = 56[/tex]

Solve for x

[tex]x = 56/2.5[/tex]

[tex]x = 22.4[/tex]

Hence, the height of the shadow is 22.4ft

Simplify y^3*y^-5 write your answer using only positive exponents

Answers

Answer:

y2

Step-by-step explanation:

"y3"   was replaced by   "y^3".  1 more similar replacement(s).

Simplify: y5 by y3

1.1    y5 divided by y3 = y(5 - 3) = y2

Final answer:

y2

y³y⁻⁵ can be written in the form of positive exponent is 1/y².

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is y³y⁻⁵

y power three times of y power minus five.

We need to simplify the expression using only positive exponents

From properties of exponents we have, when bases are same then the powers will be added

y³⁻⁵

y⁻²

This can be written as 1/y² as positive exponent.

Hence,  y³y⁻⁵ can be written in the form of positive exponent is 1/y².

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The order pair (0 , 0) is a solution to the inequality x > -2 True True False

Answers

Answer: true

Step-by-step explanation:

Answer:

True, because when x is zero (which is greater than -2), y is 0 Which is also true.


For the graph, locate the x-intercept and the y-
intercept.
The x-intercept is at
The y-intercept is at

Answers

x intercept= 6
y intercept= -2

Answer:

(6,0)

(0,-2)

Step-by-step explanation:

I am sorry for all the people I am making mad.

Answers

Answer:

who are you making mad??...

Step-by-step explanation:

Answer:

                                     

Step-by-step explanation:

Charlie has a giant bag of gumballs and wants to share them with his friends. He gives half of what he has to his buddy, Jaysen. He gives half of what's left after that to Marinda. Then he gives half of what's left now to Zack. His mom makes him give 5 gumballs to his sister. Now he has 10 gumballs left. How many gumballs did Charlie have to begin with?

Answers

Answer:

120 gumballs

Step-by-step explanation:

Let

x = total gumballs

Buddy = 1/2x

Balance = x - 1/2x

= 2x-x/2

= 1/2x

Miranda = 1/2 of 1/2x

= 1/2 × 1/2x

= 1/4x

Balance = 1/2x - 1/4x

= 2x-x/4

= 1/4x

Zack = 1/2 of 1/4x

= 1/2 × 1/4x

= 1/8x

Balance = 1/4x - 1/8x

= 2x-x/8

= 1/8x

His sister = 5

Balance = 1/8x -5

10 = 1/8x - 5

10 + 5 = 1/8x

15 = 1/8x

x = 15 ÷ 1/8

= 15 × 8/1

= 120

x = 120 gumballs

Kelly had a Hershey chocolate bar. She broke the bar into 5 pieces. Her friend Grace
ate 2/5 of the bar, Her friend Kayla ate 1/5 of the same bar. How much of the bar was
left for Kelly to eat?

Answers

Answer:

2/5 is left

Step-by-step explanation:

You buy
3.16 pounds of
pears​,
1.15 pounds of
apples​, and
2.18 pounds of
peaches. What is your total​ bill?

1.19 pears, 0.99 apples, 1.29 peaches

Answers

Answer:

if the prices at the bottom are per pound, then:

pears = 3.7604 (3.76)

apples = 1.1385 (1.13)

peaches = 2.8122 (2.81)

total bill = 7.07

Step-by-step explanation:

pears =

1.19 x 3.16 = 3.7604 (3.76)

apples =

0.99 x 1.15 = 1.1385 (1.13)

peaches =

1.29 x 2.18 = 2.8122 (2.81)

total bill =

3.76 + 1.13 + 2.81 = x

x = 7.7

7.7 money-wise = 7.07 (i think)

total bill = 7.07

OR

total bill =

3.7604 + 1.1385 + 2.8122 = x

x = 7.7111

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

7.7111 = 7.7 = 7.07

A student spends $1.85 for a sandwich, $1.15 for a drink, $0.65 for a bag of chips, and $1.10 for two apples. How much money does the student spend at lunch, in dollars and cents?

Answers

Answer:4.75

Step-by-step explanation:

do the math all you will get what i got

The student spends at lunch 4.75 dollars or 475 cents.

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that;

A student spends $1.85 for a sandwich, $1.15 for a drink, $0.65 for a bag of chips, and $1.10 for two apples.

Now,

Since, A student spends $1.85 for a sandwich, $1.15 for a drink, $0.65 for a bag of chips, and $1.10 for two apples.

Hence, The amount of total money in dollars is,

⇒ $1.85 + $1.15 + $0.65 + $1.10

⇒ $4.75

We know that;

⇒ 1 dollar = 100 cents

Hence, we get;

⇒ 4.75 dollars = 4.75 × 100

                       = 475 cents

Thus, The student spends at lunch 4.75 dollars or 475 cents.

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Simplify.
3
(-4a64)
Write your answer without parentheses.

Answers

Answer:

64w2.

Step-by-step explanation:

Find the volume of the cone.




175.9 m3

Correct Answer
167.6 m3

Incorrect Response
418.9 m3


502.7 m3

Answers

Answer:

B

Step-by-step explanation:

is -33 a whole number?​

Answers

Answer/Step-by-step explanation:

-33 is not a whole number. A whole number is a number(positive) that contains no decimals nor fractions.

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