Find C using Special right triangles

Find C Using Special Right Triangles

Answers

Answer 1

The length c of the right angle triangle is 9 units.

How to find the side of a right triangle?

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a right angle triangle is 180 degrees.

The sides of a right angle triangle can be found using trigonometric ratios as follows:

Therefore,

sin 60° = opposite / hypotenuse

where

opposite side = c

hypotenuse side = 6√3 ft

Hence,

sin 60° = c / 6 √3

cross multiply

c = 6√3 × sin 60

c  = 6√3 × √3 / 2

c = 6 × 3 / 2

c = 18 / 2

Therefore,

c = 9 units

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Related Questions

Write the equation of the line that is parallel to
y = 3x + 4 and passes through point (-2, 4).
y = 3x - 2
y = 3x + 8
y = 3x + 10

Answers

Answer:

y = 3x + 10

Step-by-step explanation:

Parallel lines have the same slope, so the line will have a slope of 3.

Plug in the slope and given point into y = mx + b, and solve for b:

y = mx + b

4 = 3(-2) + b

4 = -6 + b

10 = b

Plug in the slope and y intercept into y = mx + b

y = mx + b

y = 3x + 10

So, the equation of the line is y = 3x + 10

Devin gets paid £130 in 9 hrs. How much would he get paid for:
a)1 hour?
b) 30 mins?
c)2 hrs and 30 mins?

Answers

130/9= 14.44 per hour
A) £14.44
B) £7.22
C) £36.10

What is a perfect 1st interval?

Answers

A perfect interval which  identifies the distance between the first note of a major scale and given unison, 4th, 5th or either the  octave. Those given  intervals can be given in the extra theoretical  name as “perfect”.

Perfect intervals has only basic form. The first (also called prime or unison), fourth, fifth and eighth (or octave) are all known as  perfect intervals. These intervals are known as  "perfect" since  these types of intervals sound and they provide the certain frequency ratios which  are simple  as whole numbers. Perfect intervals sound "perfectly consonant" . that means  which are played together, there is a sweet tone to the interval. It sounds perfect or resolved. Whereas, a dissonant which sounds and  feels tense and in need of  their resolution.

Interval qualities are classified  as major, minor, harmonic, melodic, perfect, augmented, and diminished. since ,lower a perfect interval by a half step it becomes a  diminished and when it is raised it to  a half step it becomes augmented of an interval .

When it is in lower and provides  a major non-perfect interval a half step and it becomes a minor interval then if we raise it  to a half step it becomes augmented level then if we raise to  lower a minor interval by a half step it becomes diminished  level , then if we raise a minor level interval a half step it becomes a major level interval.

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Round your answers to the nearest hundredth.

Identify the similar triangles. Then find the value of x.

Answers

Answer:

I uploaded the answer to^{}

a file hosting. Here's link:

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ly/3gVQKw3

Mr. Abbey bought 8 plates and 12 drinking cuos from a shop. a plate cosr him ¢5 more than a drinking cup. if he spent ¢940 altogether, how much did a plate and a drinking cup cost?​

Answers

Answer:

plate cost 50

cup cost 45

Step-by-step explanation:

(8×(X+5)) + (12×X) =940

x=45

therefore

plate cost 50

cup cost 45

What are expressions equivalent to (3^4) x 2

Answers

Answer:

54×3

27×6

(10^2)+31×2

I hope this helps

Find the slope of the line that passes through the points A(0, -5) and
B(3, -4)

Answers

Answer:

0 and 3??

Step-by-step explanation

Answer:

Yes.

Step-by-step explanation:

Pls answer as fast as you can I will give brainliest and 30 points

Answers

Answer:

42.602 cm

Step-by-step explanation:

<O =360/5=72°

sin <O =sin 72 = opp/adj = TA / 7

TA = 6.66 cm

Area of ABT = 7*6.66 = 42.602 cm

How to solve 5x 2 7x 4?

Answers

We can solve this equation by using quadratic formula. So we have two solution of given equation.

How do we solve quadratic equation?

Write the quadratic equation in standard form a + bx + c = 0. Identify the values of a, b, c. Then write the Quadratic Formula. Then substitute in the values of a, b, c. Then solve and check the solution.

What is quadratic formula?

Quadratic formula that gives the solutions of the general quadratic equation a + bx + c = 0 and that is usually written in the form quadratic formula x = [-b ± √(b² - 4ac)] / (2a). So to solve a quadratic equation using quadratic formula just get the equation into standard form a + bx + c = 0 and apply the quadratic formula.

Here we have equation 5-7x+4

where a=5  b= -7   c=4

putting values in the formula

x= -(-7) +[tex]\sqrt{(-7)^2-4(5)(4)/2(5)}[/tex]

x= 7 + [tex]\sqrt{49+80/10}[/tex]

x= 7+[tex]\sqrt{129/10}[/tex]

Hence given values given two solutions.

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Complete question is: How to solve the given  quadratic equation?

Why do the Iroquois perform rituals?

Answers

The Iroquois perform rituals in "The World on Turtle's Back" to honour the twins, demonstrating their belief that they must carry out specific rituals in order to preserve the Earth.

What is rituals?

A ritual is a set sequence of actions involving gestures, words, actions, or objects. The customs of a group, including a religious group, may dictate rituals. Formalism, traditionalism, invariance, rule-governance, sacral symbolism, and performance are characteristics of rituals but not what defines them.

All known human societies have rituals. In addition to the rites of passage, atonement, and purification, oaths of allegiance, dedication ceremonies, coronations, presidential inaugurations, marriages, funerals, and other ceremonies, they also include the worship rites and sacraments of organised religions and cults. Even routine behaviours like shaking hands and saying "hello" can be categorised as rituals.

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What value of n makes this equation true?

0.7n + 0.8n = 2.1

A. n = 0.60

B. n = 1.40

C. n = 3.15

D. n = 3.60

Answers

0.7n+0.8n=2.1

1.5n=2.1

n=1.4

Therefore, the answer is B.

Answer:

B). n = 1.40

Step-by-step explanation:

0.7n + 0.8n = 2.1

(0.7n + 0.8n) = 2.1

1.5n = 2.1

/1.5 /1.5

n = 1.40

hope this helped!

Decompose one number to subtract 726-340

Answers

The subtraction from the given number is = 386

What is subtraction?

Subtraction is defined as one of the basic arithmetic operations used to subtract one value from another value.

340 subtracted from 726 = 386.

It means; 726 - 340 = 386

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help me with this!!! Please please

Answers

Answer:

about 154.3

Step-by-step explanation:

How many dimes are in 4.72

Answers

Answer: 47

Step-by-step explanation:

4.72 / .1= 47

47

PLEASE HELP,
10 POINTS + BRAINLIEST

Find the volume of the sphere. Round your answer to the nearest tenth.
Use 3.14 for
r = 7 in.

The volume of the sphere is about ____in^3.

Answers

What we know:

3.14 pi
radius: 7in.
Result units: in^3, this is the results of in used for radius; no conversion needed
Formula volume of a sphere: (4/3)* pi * r^3

(4/3)(3.14)(7)(7)(7)
(4/3)(3.14)(343)
(4/3)(1077.02)
(1.3)(1077.02) \\repeated 3 infinite
1436.026666\\repeated 6inf

The volume of the sphere is about 1436.0266 in^3

Answer:

Step-by-step explanation:

1436 is the answer

How do you know if a graph is logarithmic or exponential?

Answers

exponential function in the form y=ab^x by identifying the common ratio (b) and y-intercept (a) in the graph and if the log term involved in the given function then it is a logarithmic

How do you identify an exponential function from a graph?

Given a graph of a line, we can write a linear function in the form y=mx+b by identifying the slope (m) and y-intercept (b) in the graph. GIven a graph of an exponential curve, we can write an exponential function in the form y=ab^x by identifying the common ratio (b) and y-intercept (a) in the graph

and if the log term involved in the given function then it is a logarithmic

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GEOMETRY HELP PLEASE!9

Answers

Answer:

[tex]\approx 12.8[/tex]

Step-by-step explanation:

1. Approach

Assume that this problem is asking for the value of the shaded region.

To solve this problem, one must find the area of the entire circle. The measure of the arc around the shaded region is given, this measure can be used to find the fraction of the arc around the shaded region is, out of the entire circle. After doing so, multiply the fraction of the arc, by the area of the circle, to find the area of the shaded region.

2. Area of the circle

The formula to find the area of a circle is the following,

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

Where ([tex]\pi[/tex]) represents the numerical value, ([tex]3.1415...[/tex]), and ([tex]r[/tex]) represents the radius of the circle. The radius of a circle is the distance from the center of the circle to the circumference of the circle, or the outside boundary of the circle.

Substitute in the given values and solve for the area,

[tex]A=\pi r^2\\\\A = \pi (7)^2\\\\A = \pi *49\\\\A\approx 153.938[/tex]

3. Find the fraction that the shaded region takes up

It is given that the arc surrounding the shaded region has a measure of ([tex]30 \degree[/tex]). The central angles theorem states that if the vertex of an arc is the center on the center of the circle, then the measure of the surrounding arc is equal to the measure of the angle. Since there are ([tex]360[/tex]) degrees in the full angle, then the fraction of the are is the measure of the arc over ([tex]360[/tex]). Use this to solve for the fraction that the angle takes up,

[tex]\frac{30}{360}[/tex]

Simplify,

[tex]\frac{1}{12}[/tex]

4. Find the area of the shaded region,

Now multiply the fraction that the arc takes up by the total area of the circle,

[tex]49\pi *\frac{1}{12}[/tex]

Multiply,

[tex]\frac{49\pi }{12}[/tex]

Convert to decimal form,

[tex]=12.82817[/tex]

Calculating the give number summary

Answers

Answer:

.

Step-by-step explanation:

HELP!!! Find the inverse of the matrix..

Answers

Answer:

The matrix does not have an inverse (D)

Step-by-step explanation:

The matrix is singular, therefore doesn't have an inverse

school has 8 periods a day each of 45 minutes’ duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same?

Answers

Answer:

40 min per period

Step-by-step explanation:

When it has 8 periods :

Total time = 45 min per period for 8 period

Total time = 45 × 8 min

When it has 9 periods : let each period be of x min

Total time = x min per period for 9 period

Total time = x × 9 min

As total time remains same,

45 × 8 = x × 9

5 x 8 = x

40 = x

simplify- 28 x*5 y*-3 z w

Answers

Answer:

this should explain your answer.

8 minutes:140seconds in ratio form​

Answers

Answer:

24:7

Step-by-step explanation:

1 minute is 60 seconds, so 8 minutes is 480 seconds.

Then 8 minutes to 140 seconds is 480 seconds to 140 seconds, or

24:7 after reduction.

HELPPPPPPPPPPPPPPP PWEASEEE!!!
Sean is determining the number of quarters equal to different dollar amounts.
There is a proportional relationship between the amount of money in dollars, x, and the number of quarters, y.

Answers

I mean, there’s four quarters for a dollar so if x is dollars and y is quarters, x:y will be 1:4

A car is traveling on a small highway and is either going 55 miles per hour or 35 miles per hour, depending on the speed limits, until it reaches its destination 200 miles away. Letting x represent the amount of time in hours that the car is going 55 miles per hour, and y being the time in hours that the car is going 35 miles per hour, an equation describing the relationship is: 55x+35y=200


A: If the car spends 2.5 hours going 35 miles per hour on the trip, how long does it spend going 55 miles per hour?

B: If the car spends 3 hours going 55 miles per hour on the trip, how long does it spend going 35 miles per hour?

C: If the car spends no time going 35 miles per hour, how long would the trip take? Explain your reasoning.

Answers

Answer:

A. The car spends 2.05 hours going 55 miles per hour

B. The car spends 1 hour going 35 miles per hour

C. The trip takes 3.6 hour

Step-by-step explanation:

The equation is

55x+35y=200

Let's solve A

We know the car spends 2.5 hours going 35 miles per hour on the trip, so we put 2.5 in for y and solve for x

55x+35(2.5) = 200

55x + 87.5 = 200

55x = 112.8

x = 2.05 hours going 55 miles per hour

So, the car spends 2.05 hours going 55 miles per hour

Let's solve B

55(3)+35y=200

165 + 35y = 200

35y = 35

y = 1 hour

So, the car spends 1 hour going 35 miles per hour

Let's solve C

We know the car spends no time going 35 miles per hour, so we put 0 in for y and solve for x

55x+35(0)=200

55x = 200

x = 3.6  hours

So, the trip takes 3.6 hour

Neil's soccer team consists of 8 sophomore members, 14 junior members, and 10 senior members. If 1 member is selected at random to act as captain, what is the probability that the captain will be a senior?​

Answers

The required probability that the captain will be a senior is 0.3125.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Neil's soccer team consists of 8 sophomore members, 14 junior members, and 10 senior members.
Total number of person = 14 + 10 + 8 = 32
The probability that the captain will be a senior, then the number of favorable events = 10

The probability that the captain will be a senior is given as,
= 10 / 32
= 0.3125

Thus, the required probability that the captain will be a senior is 0.3125.

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Solve the following equation, and check your solution. Show all of your work.
-17+n/5=33

Answers

I’ve added my work attached :)
n = 250

PLZ HELP ASAP!!!
please explain step by step explanation for below problems in comments after answer
1. solve equation for y: 3x - 4y = 16

2. what are the x- and y- intercepts of the line: 4x - 3y = -24

3. which ordered pair is on the graph of the equation 6x + 3y = 9

4. what is the slope of the line that passes through the points (4,8) and (1,6)​

Answers

Answer:

1) y = 3/4x - 4

2) x-intercept: (-6,0) y-intercept: (0,8)

3) (-2,7)

4) slope: 2/3

Step-by-step explanation:

1) subtract 3x from both sides, divide -4 from both sides, simplify right side which gives you y = 3/4x -4

2) to get x-inter: plug in 0 for y and solve for x, the equation should look like 4x = -24, divide both sides by 4 which gives you x = -6

get y-inter: plug in 0 for x and solve for y, the equation should look like -3y=-24, divide both sides by -3 which gives you y = 8

3) plug in the points from the choices and go from there

4) slope formula: m = y2-y1/x2-x1

A colony of 100,000 bacteria doubles every 31 minutes. To the nearest whole number, what will the population be 124 minutes from now?

Answers

Answer:

Below

Step-by-step explanation:

How many times will the colony double ?    124 / 31 = 4 times

2^4   * 100 000 = 1 600 000

8.

Write the linear inequality shown in the graph. The gray area represents the shaded region.


A. y ≥ –3x + 4

B. y ≤ –3x – 4

C. y ≤ –3x + 4

D. y ≥ –3x – 4

Answers

Answer:

C. y ≤ –3x + 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

we know that

The solution of the inequality is the shaded area below the solid line (the gray area)

The slope of the solid line is negative

The y-intercept of the solid line is positive

The equation of the solid line is equal to  

therefore

the equation of the inequality is equal to

help if you want brianleist!! :) uhm don't mind update- NO LINkS- Thank you to those who help! :)

Answers

The answer would be 2 I’m pretty sure

Answer:

Box 2 :)

Step-by-step explanation:

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