What are the values of the variables in the triangle below? If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.

What Are The Values Of The Variables In The Triangle Below? If Your Answer Is Not An Integer, Leave It

Answers

Answer 1

Answer:

x = 12y = 4√3

Step-by-step explanation:

To find x we use cosine

cos∅ = adjacent / hypotenuse

x is the adjacent

8√3 is the hypotenuse

cos 30 = x / 8√3

x = 8√3 cos 30

x = 12

To find y we use sine

sin∅ = opposite / hypotenuse

y is the opposite

8√3 is the hypotenuse

sin 30 = y / 8√3

y = 8√3 sin 30

y = 4√3

Hope this helps you


Related Questions

the area of a rectangular sandbox can be expressed as 72xy + 18x the width of the sandbox is 9x what is the perimeter of the sandbox

Answers

Answer:

  18x +16y +4

Step-by-step explanation:

The area is the product of length and width, so the length is ...

  A = LW

  L = A/W = (72xy +18x)/(9x) = 8y +2

The perimeter is double the sum of length and width:

  P = 2(L +W) = 2(8y +2 +9x)

  P = 18x +16y +4 . . . . the perimeter of the sandbox

Simplify this expression: 19 - (-8) - (-14) = ? A. 41 B. 25 C. -7 D. -3

Answers

Answer:

A. 41

Step-by-step explanation:

19 - (-8) - (-14) =

19+8+14

Remember: Two negatives=One positive ;)

27+14

41

A. 41

Answer:

[tex]\mathrm{A.} \: 41[/tex]

Step-by-step explanation:

[tex]19 - (-8) - (-14)[/tex]

[tex]\mathrm{Apply \: rule:} \: -(-a)=a[/tex]

[tex]19+8+14[/tex]

[tex]\mathrm{Add \: the \: numbers.}[/tex]

[tex]=41[/tex]

Mark says that the number 2 is a rational number because he can write it as the fraction >
Is Mark correct? Why or why not?
O Mark is correct because the denominator, 1, is an integer.
Mark is correct because the fraction is equal to V2.
Mark is not correct because 2 is not equal to the fraction

Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.​

Answers

Answer:

C and D.

Step-by-step explanation:

I am guessing that he wants to find if 2 is a rational number by comparing it to  the fraction [tex]\frac{\sqrt {2}}{1}[/tex]

There are a couple of reasons why Mark is not correct:

1. A number is rational only if it can be written as a fraction made up of the numerator and denominator as integers.

2. The fraction [tex]\frac{\sqrt {2}}{1}[/tex] is not equal to 2, so, he is wrong.

So, C and D would be correct.

NOTE: In case I misinterpreted the question, use 1. to judge if it is rational or not, you should get your answer.

Answer:

Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.​

Step-by-step explanation:

This is the correct answer

brainliest pls

Trig work i don’t understand. pls help

Answers

Answer: A

Step-by-step explanation:

So we know that to find the area of a triangle you have to multiply the base times the height and divide it by two or multiply it by 1/2.Looking the information given it say that theta is equal to 26 degrees  and the length of a or the hypotenuse is 25 and b which in this case is the base is 32. So the information gives us the base but now we need to find the height.

To find  H we need to apply trigonometry solve for h the height.

As we could see theta which is 26 degrees is opposite the height and we know the hypotenuse length. So using soh cah toh we have to know that the length of h is  going to be using the sin formula opposite over hypotenuse.

[tex]sin(26)=\frac{h}{25}[/tex]    solve for h by multiplying both sides by 25.

h= 25 sin(26)

h= 10.96   is being rounded to the nearest hundredth because that is essential

Now we know H is equal to 10.96  which is the Height so now we have all the information we need the height and the base.

Multiply 10.96 by 32 and divide it by 2.

10.96 * 32 =  350.72

350.72 /2 = 176.36  

The best answer is A  because that is the only best approximation to 175.35.

The graph below shows a line of best fit for data collected on the number of toys sold at a toy store since the opening of the store. Based on the line of best fit, how many toys were sold 13 days after the store opened?

A.) 195
B.) 260
C.) 325
D.) 130

Answers

The answer that line of best fit, how many toys were sold 13 days after the store opened is A.) 195

Can any of y’all help me with this problem?

Answers

Answer:

90º clockwise rotation

Step-by-step explanation:

The rotation is a 270º counterclockwise rotation, since 270º rotation is

(x, y) → (y, -x)

F(1, 3) → (3, -1)

270º counterclockwise rotation is the same as a 90º clockwise rotation, so the answer is 90º clockwise rotation.  

90° clockwise rotation

3. 10 + (8 x 3) - 32

Answers

Answer:

[tex]2[/tex]

Step-by-step explanation:

In order to find the answer to this question use PEMDAS and solve.

[tex]10+(8\times3)-32[/tex]

P goes first:

[tex]8\times3=24[/tex]

[tex]10+24-32[/tex]

A goes next:

[tex]10+24=34[/tex]

S goes last:

[tex]34-32=2[/tex]

[tex]=2[/tex]

Hope this helps.

Answer:

2

Step-by-step explanation:

10 + (8 x 3) - 32

So I’m assuming the x represents multiplication

10 + (8*3) - 32

In Pemdas parenthesis is always first

(8*3)=24

10+24-32

Then addition

10+ 24=34

34-32=2



A gym for diabetes is offering a deal to new members. Customers can sign up by paying a registration fee of $250 and a monthly fee of $42. Which of the
following models the membership cost?

Answers

Answer:

the following model the membership cost is p=250+42m

HELP
Find the volume of the sphere in terms of Pi

Answers

Answer:

Hey there!

The volume of a sphere is 4/3pir^3

If d=5, then r=2.5,

Thus, we have 4/3(15.625)pi

20.83pi

The first choice is correct.

Hope this helps :)

Answer: num 1

Step-by-step explanation:

4/3*pi*r^3

4/3*pi*15.625

20.83*pi

hope i halped

can i get brainliest?(im trying to level up)

pls

          -Zylynn

a shopkeeper bought 1000 glass tumblers at rs8 each. 100 glass tumblers were broken and he sold the rest at rs 10 each. find his gain or loss percent.​

Answers

Answer:

Hello!

~~~~~~~~~~~~~~~~~`

Profit % = (Profit/C.P)*100

= (1000/8000)*100

= 12.5%

Step-by-step explanation:

Cp of 1000glass =8000

100were broken =8000-800=7200

now there were 900 glass tumblers left he sold at rs10 each =9000

there for sp is bigger than cp

P in rs =9000-8000=1000

Hope this helped you! Brainliest would nice..!

☆_________________❤︎________________☆

Please answer this question now in two minutes

Answers

Answer:

  y = 2x +10

Step-by-step explanation:

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

__

Comparing this to the given equation, we see that line s has a slope of -1/2. The perpendicular line t will have a slope that is the negative reciprocal of this:

  m = -1/(-1/2) = 2

Using the above point-slope form equation, we can write the equation of line t as ...

  y -4 = 2(x -(-3))

  y = 2x +6 +4 . . . . add 4, simplify

  y = 2x +10 . . . . equation of line t

TWO MINUTES HELP MY PLEASE

Answers

Answer: C

Step-by-step explanation:

Answer:

The third one. Y= -1/2x^2 -2x -1

Step-by-step explanation:

If the computer costs $2150 and Melissa puts
$150 away each month, how long will it take her
to save enough money to buy the computer?

Answers

Answer:

14 months and 1/3 of a month

Step-by-step explanation:

We can find how many months it will take by dividing the cost by the amount she puts away each month:

2150/150 = 14.33

So, it will take her 14 and 1/3 of a month

14 months and 1/3 months

Un campanario tarda 4s en tocar 5 campanadas , ¿Cuanto tardara en tocar 10 campanadas?

Answers

¿Cuanto tardara en tocar 10 campanadas?

In a game the average score was 60 time score was 5/2 of the average what was Tim’s score?

Answers

Answer:

in my own reasoning not sure if I am correct

Step-by-step explanation:

first it said Tim score was 5/2 of the of the average score

and the average score is 60

so that will be 5/2 × 60 which is

= 150

The points A (-3, b), and B (1, 3) are 5 units apart. Find the value of b.

Answers

Answer:

b = 0

Step-by-step explanation:

To find the value of b, we will follow the steps below;

Using the distance formula:

D = √(x₂-x₁)² + (y₂-y₁)²

from the question given,

A (-3, b), this implies

(-3, b) = (x₁ ,y₁)

x₁=-3   and y₁ = b

similarly

B (1, 3)

(1, 3) = (x₂,y₂)

this implies

x₂ = 1    and  y₂=3

D= 5

we can now proceed to insert the values into the formula and then solve for b

D = √(x₂-x₁)² + (y₂-y₁)²

5 = √(1+3)² + (3-b)²

5 = √4² + (3-b)²

5=√16 + (3-b)²

take the squares of both-side of the equation

5² = 16 + (3-b)²

25 = 16 + (3-b)²

subtract 16 from both-side of the equation

25 - 16 = (3-b)²

9 = (3-b)²

Take the square root of both-side

√9 = 3-b

3 = 3-b

add b to both-side of the equation

3 + b = 3 - b+ b

3 + b = 3

subtract 3 from both-side of the equation

3+b-3 = 3-3

b = 0

Therefore, the value of b is 0

PLEASE ANSWER ASPA Using the distance formula, what is the distance of C (-4, -2) and D (3, 5)?

Answers

Answer:

Approximately 9.90 units.

Step-by-step explanation:

The distance formula is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let (-4,-2) be x1 and y1, and (3,5) be x2 and y2.

Plug in the numbers:

[tex]d=\sqrt{(3-(-4))^2+(5-(-2))^2}[/tex]

[tex]d=\sqrt{7^2+7^2}[/tex]

[tex]d=\sqrt{2(7)^2}[/tex]

[tex]d=7\sqrt{2}[/tex]

4.- En una pastelería han preparado 30 pasteles. Los van a colocar en bandejas de forma que en cada bandeja haya el mismo número de pasteles y no sobre ninguno. ¿De cuántas formas los puede colocar?

Answers

Answer:

7 formas

Step-by-step explanation:

En la pastelería, se han preparado 30 pasteles.

Cada bandeja contendrá la misma cantidad de pasteles.

Para encontrar de cuántas maneras puedes ponerlos, tenemos que encontrar los factores de 30. Ellos son:

1, 2, 3, 5, 6, 10, 15, 30

Esto significa que podemos tener:

30 bandejas que contienen 1 bandeja cada una

15 bandejas con 2 tortas cada una

10 bandejas con 3 tortas cada una

6 bandejas con 5 tortas cada una

5 pasteles que contienen 6 pasteles cada uno

3 bandejas con 10 pasteles cada una

2 bandejas con 15 tortas cada una

Esto significa que hay 7 formas de colocar los pasteles.

Sam bakes a variety of biscuits. 1/3
are peanut, 12 are raisin and the
remaining 12 were oat. How many
biscuits are baked?

Answers

Answer: 36

Step-by-step explanation:

Let the no. of biscuits be x

Peanuts will be 1/3x

So,

1/3x + 12 + 12 = x

1/3x + 24 = x

x + 72 = 3x

x-3x = -72

x = 72/2 = 36

Peanut biscuits will be 1/3 * 36 = 12

Total no. of biscuits baked were 12+12+12 = 36

this diagram shows a scale drawing of a playground the scale is ___ 1:500 work out the perimeter of the real playground give your answer in meters

Answers

Answer:

The perimeter of the actual playground is 22000 units

Step-by-step explanation:

By measurement, the width of the scale drawing = 16 units

The breadth of the scale drawing = 6 units

Therefore, given that the scale is 1:500, we have that the actual dimensions of the playground are;

Actual width of the playground = 500×16 = 8,000 units

Actual breadth of the playground = 500×6 = 3,000 units

Therefore;

The perimeter of the actual playground = 2 × 8000 + 2 ×3000 =  22000 units.

How many 4-digit numbers divisible by 5, all of the digits of which are odd, are there?

Answers

Answer:

I guess that we want to create 4 digit numbers that are divisible by 5, only using the odd numbers in the image.

We know that a number is divisible by 5 only if the last digit (the units digit) is a zero or a five, in the image we only have a five, so our 4-digit numbers need to end with a five, so we have a digit fixed in five and the other 3 digits can be other numbers.

We have two different approaches to this:

First, if each odd number can be used only once, we already used the five, so we can use the other 4 numbers.

Then, for the first digit, we have 4 options.

for the second digit, we have 3 options (because we already used one)

for the third digit, we have 2 options (because we already used 2)

then the number of combinations is equal to the product of the number of options for each selection:

C = 4*3*2 = 24 combinations.

The second approach is If the numbers in the image can be repeated (for example, 5555 or 3435 are allowed)

we still have our last digit fixed in 5, and for the first digit we have 5 options, for the second we also have 5 options, and for the third, we also have 5 options, then, with the same reasoning as above, we have:

C = 5*5*5 = 25*5 = 125 combinations.

first chance you get the best marks ​

Answers

Answer:

First box and last box.

Step-by-step explanation:

It is the first box.

Distribute 7 to the first number

7 * -3/4 = -21/4

-21/4 = 5  -1/4

Distribute 7 to the second number

7 * -3

= -21

Put the numbers together

5  -1/4x  -21 is the answer.

It is also the last box.

They separated the parenthesis.

So it is still 7 * -3/4

and

7*-3.

Hope this helps,

Kavitha

what is the square root of 0.49

Answers

Answer:

0.7

if you multiply 0.7 with 0.7 you get 0.49 so 0.7 is the square root

Hope this helps

Step-by-step explanation:

Answer:

0.7

Step-by-step explanation:

0.49 = 49/100

√(49/100)

√49/√100

7/10

= 0.7

A chef cooked 7 kg of mashed potatoes for a banquet. If the guests only ate 34of the amount he cooked, how much of the potatoes were eaten?

Answers

Answer:

2.38 Kg were eaten

Step-by-step explanation:

first we should divide 34 by 100

the result will be 0.34

then we multiply 0.34 x 7 Kg = 2.38 Kg

how to find the angel in trigonometry when all the lengths of the right angled triangle already given.

Answers

Answer:

The three trigonometric ratios can be used to calculate the size of an angle in a right-angled triangle

Use rule ; SOHCAHTOA .Where sin x = opp/hyp

cos x = adj/hyp

tan x= opp/adj

Substitute the given values for the three sides

into any of the above rules

[tex]example = Hyp = 2\\opp = 1\\sin- x = 1/2\\x = sin^{-1} 1/2\\x = 30[/tex]

Step-by-step explanation:

I Hope It Helps :)

How might you describe the y values for this section of x values: -1

Answers

Answer:

Answer is below

Step-by-step explanation:

The y-values are all real numbers because they reach every possible y-value from -∞ to ∞ on the y-axis.

What is the domain of the function y=3/x-1?
O
-00 O-1 O 0 O 1

Answers

Answer:

x ≠ 1.

Step-by-step explanation:

In mathematics, anything divided by 0 is null. It is not valid. And so, in this case, x - 1 must never equal 0, but it can be any number other than 0.

x - 1 = 0

x = 1

That means that the domain of the function is x ≠ 1.

Hope this helps!

The value of domain is,

⇒ {- ∞, ∞} - {1}

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ y = 3 / (x - 1)

Now, We can find the domain as;

Here, The function is,

⇒ y = 3 / (x - 1)

Hence, Domain is,

⇒ {- ∞, ∞} - {1}

Thus, The value of domain is,

⇒ {- ∞, ∞} - {1}

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7


Which expression is equivalent to

Answers

Answer:

Option 2) [tex]x^{\frac{1}{8}}y^8[/tex]

Step-by-step explanation:

=> [tex](x^{\frac{1}{4} } y ^{16} )^\frac{1}{2}[/tex]

=> [tex]x^{\frac{1}{4} * \frac{1}{2} } * y ^{16*\frac{1}{2} }[/tex]

=> [tex]x^{\frac{1}{8}}y^8[/tex]

ASAP The rectangle below has been enlarged by a scale of 3.5. A rectangle with a length of 8 and width of 6. [Not drawn to scale] What is the area of the enlarged rectangle?

Answers

Answer:

588 units^2

Step-by-step explanation:

To find the area of the enlarged rectangle, first find the length and width of the enlarged rectangle.

This is 3.5 multiplied by their original measures:

Length = 3.5 x 8 = 28

Width = 3.5 x 6 = 21

Now, area =. LxW = 588 units^2

Hope this helps

Answer:

588 units squared

Step-by-step explanation:

We have a rectangle that has dimensions 8 units by 6 units.

From the problem, we know that this rectangle has been enlarged by a scale of 3.5. Essentially, to obtain the dimensions of the new, bigger rectangle, we multiply the current length (8 units) by 3.5 and the current width (6 units) by 3.5:

new length = 8 * 3.5 = 28 units

new width = 6 * 3.5 = 21 units

Given this, we can now calculate the area.

The area of a rectangle is denoted by A = lw, where l is the length and w is the width.

Here, the length is l = 28 and the width is w = 21. Plug these in:

A = lw

A = 28 * 21 = 588

The answer is thus 588 units squared.

~ an aesthetics lover

Katrina is solving the equation x minus 2 (x + 3) = 4 (2 x + 3) minus (x + 4). Which equivalent equations might Katrina use? Check all that apply.

Answers

Answer:

-7/4 =x

Step-by-step explanation:

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

Distribute

x -2x -6 =8x+12 -x -4

Combine like terms

-x-6 = 7x +8

Add x to teach side

-x-6 +x = 7x+x+8

-6 = 8x+8

Subtract 8 from each side

-6-8 =8x+8-8

-14 = 8x

Divide by 8

-14/8 = 8x/8

-7/4 =x

Answer:

-5/6

Step-by-step explanation:

[tex](x + 3) = 4 (2 x + 3)- (x + 4)\\Ope- the- brackets\\x+3 = 8x +12-x-4 \\Collect- like- terms\\x-8x+x=12-4-3\\-6x =5\\Divide-both-sides-by -6\\\frac{-6x}{-6} =\frac{5}{-6} \\x =-5/6[/tex]

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The Boxer movement in China was a result of the feeling that many Chinese people had toward foreign trade. a. true b. false Which sentence should be revised to improve this paragraph sentence fluency? In a game the average score was 60 time score was 5/2 of the average what was Tims score? Identify each person below as structurally, frictionally, or cyclically unemployed. a. Jake recently lost his job as a dishwasher. Minimum-wage legislation keeps employers from adding more of the low-skill positions for which he qualifies, so he has been unable to find work. b. Rosa is a real estate agent. House sales in her area have declined because the region has been going through a recession. She has no clients and is currently looking for a new full-time job. c. Latasha just graduated from college and is looking for a full-time position with an investment banking firm. the area of a rectangular sandbox can be expressed as 72xy + 18x the width of the sandbox is 9x what is the perimeter of the sandbox Which of the following is the correct scientific notation for 0.00566 meters? A.566 x 10-5 m B..566 x 10-3 m C.5.66 x 10-3 m D.5.66 x 103 m The graph below shows a line of best fit for data collected on the number of toys sold at a toy store since the opening of the store. Based on the line of best fit, how many toys were sold 13 days after the store opened? A.) 195 B.) 260 C.) 325 D.) 130 Describe how people may develop prejudices. La Sra. Estela Smith y el Sr. Alonso son maestros agradables. Los lunes y los mircoles tienen clases llenos de estudiantes ocupados. Los maestros son cuidadosos con sus estudiantes y se divierten diariamente. Select the option that corrects the error in noun-adjective agreement. clases-llenas estudiantes-ocupadas maestro-agradables maestros-cuidadosas PLEASE DO THIS RIGHT 3. 10 + (8 x 3) - 32 Find the volume of a cylinder that has the following dimensions. Do not round your answer. (Use 3.14 for pi.)Radius = 5 cmHeight = 0.25 mVolume = __ cm3 A gym for diabetes is offering a deal to new members. Customers can sign up by paying a registration fee of $250 and a monthly fee of $42. Which of thefollowing models the membership cost? How have search engines like Google, Bing, and Yahoo! revolutionized the ability to do research? They are more difficult to access than the library. They provide only information from reliable sources. They provide immediate access to information on the web. They take longer than using a card catalog but provide only expert sources. Waterway, Inc. manufactures two products: missile range instruments and space pressure gauges. During April, 50 range instruments and 200 pressure gauges were produced, and overhead costs of $87,550 were estimated. An analysis of estimated overhead costs reveals the following activities. Activities Cost Drivers Total Cost 1. Materials handling Number of requisitions $40,800 2. Machine setups Number of setups 25,750 3. Quality inspections Number of inspections 21,000 $87,550The cost driver volume for each product was as follows.Cost Drivers Instruments Gauges TotalNumber of requisitions 420 630 1,050Number of setups 225 260 485Number of inspections 265 225 490Air United, Inc. manufactures two products: missilAir United, Inc. manufactures two products: missil Determine the overhead rate for each activity.Overhead RateMaterials handling $Machine setups $Quality inspections $ Who was pitagoras ??????????? the type of writing that sumerians invented was hieroglyphics. t or f On which body would a 10 kg lamp have the most gravitational potential energy when lifted to height of 2 m? A) Earth B) Mars C) Neptune D) Uranus Which type of medication is methylphenidate? Ways in which you could participate in activities at school to eradicate acts ofhuman rights violations. Which of the following pronouns can take either asingular or a plural verb?A) AnyoneB) NobodyC) SeveralD) Some