Find the value of the variables in the simplest form

Find The Value Of The Variables In The Simplest Form

Answers

Answer 1

Answer:

x = 3

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan60° = [tex]\sqrt{3}[/tex]

tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{\sqrt{3} }[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by [tex]\sqrt{3}[/tex] )

x = 3


Related Questions

Help ASAP ASAP please please help ASAP ASAP please please help please

Answers

Answer:

XY = 9

Step-by-step explanation:

Similar polygons have corresponding sides with proportional lengths.

WX/AB = XY/BC

12/8 = XY/6

8XY = 12 * 6

8XY = 72

XY = 9

HELPPPPPPPPP
What is the value of x in the figure at the right?

Answers

Answer:

x=30

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

60=2x

/2   /2

30=x

A population of 60 foxes in a wildfire preserve doubles in size every 12 years. The function y = 60*2^x, where x is the number of 12-year periods, models the population growth. How many foxes will there be after 24 ​years?

Answers

there will be 240 foxes

What is the mode of the data set? {32, 29, 35, 25, 32, 22, 30} Enter your answer in the box.

Answers

Answer:

beleive its 35

Step-by-step explanation:

Answer:

The mode hear is 32

Step-by-step explanation:

The mode is the number seen the most in a selected group.

Here is a Mnemonic to help remember what the 3 M's are:

'Hey diddle, diddle

the medians in the middle

add and divide for the mean

the mode is the one that you see the most

and the range is the difference between'

Mr. Frederick teaches 4 math classes. Which class period has the most students? Use the bar graph to answer the question.

Answers

Answer:

The class in the second and longest bar graph (the one labeled 3) has the most students.

Step-by-step explanation:

When looking for the largest amount of something in bar graphs, the largest bar graph is correct. In this case the second bar graph is the longest, and we can see it indicates the class contains 28 students.

River C is 400 miles longer than River D. If the sum of their lengths is 5560 ​miles, what is the length of each​ river?

Answers

Answer:

River D - 2580 miles

River C - 2980 miles

Step-by-step explanation:

Let the length of River D be represented with x

length of river C = 400 + x

total length of both rivers = 5560

x + 400 + x = 5560

2x + 400 = 5560

collect like terms

2x = 5560 - 400

2x = 5160

divide both sides of the equation by 2

x = 5160 / 2

x = 2580

length of river c = 400 + 2580 = 2980

Four minutes is what percent of an hour?​

Answers

Answer

6 and 2/3 percent of an hour OR 6.666.... hour

I don’t know if you have to round or not but if it does just round

Step-by-step explanation:

Well 4 minutes of an hour is basically 4/60

4/60=1/15

1/15=x/100

solve the proportion by cross multiplying

100=15x

x=6.66666666

That is yoru percent

The base angles of an
isosceles triangle
Measure (2x+40)° and
(5x+16)". find x and the
Measure of both angles.

Answers

Answer:

71

93.5

x=15.5

Step-by-step explanation:

(2x+40)+(5x+16)+(x)=180

you have to put all the measures together and equal it to 180. when it comes to triangles, all the angles added together are equal to 180.

now solve the equation and you should get this:

x=15.5

the next step is to solve the give equations separately:

2(15.5)+40=71

5(15.5)+16=93.5

(15.5)=15.5

now to check the work, you have to add all the measures that were just calculated:

71+93.5+15.5=180 so check!

What's 9 divided by 4

Answers

9 divided by four is 7

Answer:

2.25 or 2(1/4)

Step-by-step explanation:

Type into a calc :)


PLSSS HELP!!!! in need of help immediately! (check whole picture) and pls don’t leave a link.

Answers

Answer: C!!!!!!!

Step-by-step explanation:

Decomposers ( however you spell it ) are things that eat and uhh remove the waste and let other decompopers eat they waste

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

√53

Step-by-step explanation:

Use the distance formula to find the distance between the two coordinates

the other one i need help with asap!!

Answers

Answer:

(3x-2)(2x-3)

Step-by-step explanation:

Good luck!

Serenity is going to invest $850 and leave it in an account
for 5 years. Assuming the interest is compounded
annually, what interest rate, to the nearest hundredth of a
percent, would be required in order for Serenity to end up
with $1,130?

Answers

Answer:

5.86

Step-by-step explanation: its right on delta math

Select the correct answer.
What is the domain of the function shown on the graph?


A. -∞ < x < ∞

B. x ≤ 2

C. x ≤ 1

D. -10 < x < 2

Answers

C is that right answer

Option B is correct, x ≤ 2  is the domain of the function shown on the graph.

What is a function?

A relation is a function if it has only One y-value for each x-value.

We have to find the domain of the given graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis.

The graph has x values less than or equal to two.

x ≤ 2 is the domain of the given function.

Hence, option B is correct, x ≤ 2  is the domain of the function shown on the graph.

To learn more on Functions click:

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help asap please i need to get thru this

Answers

Answer:

The Scale Factor is 1/4.

Step-by-step explanation:

if you multiply each side (of figure A) by 1/4, the product matches with figure B's corresponding sides. for example, 56 to 14, 28 to 7, and 64 to 16.

the scale factor is just how much a chosen shape is multiplied by to get the next shape.

to get bigger shapes into a smaller shape, multiply the sides by fractions like we did this problem.

Write an equation in point-slope form and slope-intercept form for each line
1. passes through (1, 9), slope = 2
2. passes through (4, -1), slope = -3

Answers

Answer:5.987

Step-by-step explanation:

The function C(x) = -2x2 + 38x + 40 models the sales, in hundreds of

millions of dollars, of compact discs for years since 1990.

Answers

Question:

Rewrite the function to reveal when sales of compact discs and $0.

Answer:

The cost in 2010 is $0

Step-by-step explanation:

Given

[tex]C(x) = -2x^2 + 38x + 40[/tex]

Required

Find x when [tex]C(x) = 0[/tex]

This gives:

[tex]C(x) = -2x^2 + 38x + 40[/tex]

[tex]-2x^2 + 38x + 40=0[/tex]

Expand

[tex]-2x^2 + 40x -2x+ 40=0[/tex]

Factorize:

[tex]-2x(x - 20) -2(x- 20)=0[/tex]

[tex](-2x - 2)(x- 20)=0[/tex]

Solve for x

[tex]-2x-2=0\ or\ x - 20 = 0[/tex]

[tex]x = -1\ or\ x = 20[/tex]

x represents time.  So, it cannot be negative.

[tex]x = 20[/tex]

20 years after 1990 is: 2010. Hence, the cost in 2010 is $0

The Spirit Team will be selling popcorn as a fundraiser at the next basketball game to earn funds to go to Orlando for a competition. If they need the volume of the popcorn container to be under 220 cubic inches per serving, select all of the following dimensions of a cylinder they could use.




3 inch radius and 4 inch height


4 inch radius and 4 inch height


9 inch radius and 9 inch height


4 inch diameter and 9 inch height


6 inch diameter and 9 inch height


9 inch diameter and 4 inch height

Answers

Answer:A and b

Step-by-step explanation:

The dimensions of cylinders that have a volume under 220 cubic inches per serving are:

3-inch radius and 4-inch height
4-inch diameter and 4-inch height
4-inch diameter and 9-inch height

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
We can use the formula V = πr²h to find the volume of each cylinder.

For a cylinder with a 3-inch radius and 4-inch height:

V = π(3)²(4) ≈ 113.1 cubic inches

For a cylinder with a 4-inch radius and 4-inch height:

V = π(4)²(4) ≈ 200.96 cubic inches

For a cylinder with a 9-inch radius and 9-inch height:

V = π(9)²(9) ≈ 2289.0 cubic inches

For a cylinder with a 4-inch diameter and 9-inch height (radius is 2 inches):

V = π(2)²(9) ≈ 113.04 cubic inches

For a cylinder with a 6-inch diameter and 9-inch height (radius is 3 inches):

V = π(3)²(9) ≈ 254.5 cubic inches

For a cylinder with a 9-inch diameter and 4-inch height (radius is 4.5 inches):

V = π(4.5)²(4) ≈ 254.5 cubic inches

Therefore, the dimensions of cylinders that have a volume under 220 cubic inches per serving are:

3-inch radius and 4-inch height
4-inch diameter and 4-inch height
4-inch diameter and 9-inch height

Learn more about Volume here:
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someone help me please like right now lol of and don’t put any links pls!

Answers

Answer:

8 shirts

Step-by-step explanation:

y=5x
y=-3x+24
Solve by substitution

Answers

Answer:

x=12

Step-by-step explanation:

5x = -3x+24

2x = 24

x = 12


no link just put the answerrrrr

Answers

Answer:

4in

Step-by-step explanation:

What does an insurance actuary do?

Answers

Answer:

An insurance actuary is a professional that analyzes financial risk using mathematics, statistics, and financial theories.

Step-by-step explanation:

Most actuaries work in the insurance industry and help insurance companies create and price insurance policies based on the likelihood that they will have to pay out claims.

Hope this helped!!!

A rectangular hall is 55 feet long and 48 feet wide. How long is a walkway along the diagonal?​

Answers

Answer:

[tex]73[/tex]

Step-by-step explanation:

[tex]73=\sqrt{55^{2} +48^{2} }[/tex]

Which choice does not represent a set of endpoints that create a horizontal line segment? A (1, 13) and (14, 13) B (-10, 0) and (-10, 1) C (3, -20) and (-11, -20) D (16, 2) and (-2, 2)

Answers

Answer:

Step-by-step explanation:

horizontal line segment: B (-10, 0) and (-10, 1)

Find two negative consecutive integers such that the square of the first is five more than the second. Find the integers.

Answers

Answer:

the two consecutive negative integers are -2 and -1.

Step-by-step explanation:

Represent these negative integers by m and n.

Then (because the integers are consecutive) n = m + 1, and m^2 = n + 5.

Substituting m + 1 for n in the second equation, we get:

m^2 = m + 1 + 5, or

m^2 - m - 6 = 0

This factors into (m - 3)(m + 2) = 0.  The only negative root is -2.  

Thus, the two consecutive negative integers are -2 and -1.

Check:  Is the  square of the first five more than the second?

Is (-2)^2 = -1 + 5?  YES

The integers aer -2 and -1.

a is (4,15) and b is (8,1) what is the midpoint of AB?


Answers

Answer:

(6,8)

Step-by-step explanation:

midpoint=(x1+x2)÷2,(y1+y2)÷2

a(4,15) b(8,1)

x=4+8=12÷2=6

y=15+1=16÷2=8

Answer=(6,8)

Renaldo has a piece of wood that is 8 feet long.
How many pieces 1 feet long can he cut from
the wood?

Answers

Answer:

8???????

Step-by-step explanation:

Plz help, will give brainliest.

Answers

Answer:

1) X = 10 Therefore, 10 + 2 + 10 = 22.

2) B = 2 Therefore, 15 = 8(2) - 5 + 2(2)

3) B = -0.9 Therefore, -10 + 4(3(-0.9) + 10) = 19.

Simplify each radical expression, if possible 3v/7-5^4v/7

Answers

Answer:

cannot be simplified

Step -by-step explanation:

[tex]3\sqrt{7} - 5\sqrt[4]{7} \\[/tex]

The indexes are not the same so the radicals cannot be combined.

cannot be simplified

Help please I’m a little confused

Answers

Answer:

answer is a . x²-8x+16=32

x²-8x=32-16

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