Find the length of BC

Find The Length Of BC

Answers

Answer 1

Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine or tangent.

Remember: SOH-CAH-TOA

Looking from the given angle, we want to find the opposite side and we know the hypotenuse. Therefore, we should use sine.

sin(51) = BC / 58

BC = 58 x sin(51)

BC = 45.1 units

Hope this helps!

Answer 2

Step-by-step explanation:

Hey there!

From the above given figure;

Angle CAB = 51°

AB = 58

Taking Angle CAB as reference angle we get;

Perpendicular (p) = BC= ?

Hypotenuse (h) = 58

Now;

Taking the ratio of sin we get;

[tex] \sin( \alpha ) = \frac{p}{h} [/tex]

[tex] \sin(51) = \frac{bc}{58} [/tex]

Simplify it;

0.7771459*58 = BC

Therefore, BC = 45.0744.

Hope it helps!


Related Questions

An electronic company refurbishes game systems The table shows the profit made for the number of game systems sold. How much profit will be made for 35 game systems?

Answers

Answer: Give me the table and ill answer..

Step-by-step explanation:

Determine whether each sequence is arithmetic, geometric or neither. Explain.
200, 40, 8,...

Answers

Answer:

Geometric

Step-by-step explanation:

The ratios of the terms are constant

Which equation is correct?

235 × 8 = 200 × 8 + 30 × 8 + 5

235 × 8 = 2,000 × 8 + 300 × 8 + 50 × 8

235 × 8 = 200 + 30 × 8 + 5 × 8

235 × 8 = 200 × 8 + 30 × 8 + 5 × 8
I LOVE YOUUU

Answers

D is the correct answer

The correct expression of 235 * 8 is 200 * 8 + 30 * 8 + 5 * 8

How to determine the correct expression?

The product expression is given as:

235 * 8

Express 235 as place values

235 * 8 = (200 + 30 + 5) * 8

Expand the bracket

235 * 8 = 200 * 8 + 30 * 8 + 5 * 8

Hence, the correct expression of 235 * 8 is 200 * 8 + 30 * 8 + 5 * 8

Read more about place values at:

https://brainly.com/question/12386995

I can write an equation​

Answers

Answer:

Step-by-step explanation:

y = mx + b

slope m is found as the change in y over the change in x

as y decreases 3 units for a 3 unit increase in x, the slope is -3/3 = -1

The y intercept b is where the plot crosses the y axis, 4 units above the x axis

y = -1x + 4

or

y = 4 - x

rewrite equation in slope - intercept form: (Solve for y)
2x-y=7

Answers

Answer:

y = 2x-7

Step-by-step explanation:

I'm not really sure this is the slope-intercept form, as I've never called it like that before, but if it is, there you go.

Answer:

[tex]\huge\boxed{\sf y = 2x - 7}[/tex]

Step-by-step explanation:

Given equation is:

2x - y = 7

Add y to both sides

2x = 7 + y

Invert the equation

7 + y = 2x

Subtract 7 to both sides

y = 2x - 7

This is the required equation in slope-intercept form y = mx + b where m is slope and b is y-intercept.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

A curve has equation y=4x^3 -3x+3. Find the coordinates of the two stationary points. Determine whether each of the stationary points is a maximum or a minimum.

Answers

Answer:

There are two stationary points

Local max = (-0.5, 4)Local min = (0.5, 2)

Note that 1/2 = 0.5

==========================================================

How to get those answers:

Stationary points occur when the derivative is zero, when the graph is neither increasing nor decreasing (i.e. it's staying still at that snapshot in time).

Apply the derivative to get:

f(x) = 4x^3 - 3x + 3

f ' (x) = 12x^2 - 3

Then set it equal to zero and solve for x.

f ' (x) = 0

12x^2 - 3 = 0

12x^2 = 3

x^2 = 3/12

x^2 = 1/4

x = sqrt(1/4) or x = -sqrt(1/4)

x = 1/2 or x = -1/2

x = 0.5 or x = -0.5

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

Let's do the first derivative test to help determine if we have local mins, local maxes, or neither.

Set up a sign chart as shown below. Note the three distinct regions A,B,C

A = numbers to the left of -0.5B = numbers between -0.5 and 0.5; excluding both endpointsC = numbers to the right of 0.5

The values -0.5 and 0.5 are not in any of the three regions. They are the boundaries.

The reason why I split things into regions like this is to test each region individually. We'll plug in a representative x value into the f ' (x) function.

To start off, we'll check region A. Let's try something like x = -2

f ' (x) = 12x^2 - 3

f ' (-2) = 12(-2)^2 - 3

f ' (-2) = 45

The actual result doesn't matter. All we care about is whether if its positive or negative. In this case, f ' (x) > 0 when we're in region A. This tells us f(x) is increasing on the interval [tex]-\infty < x < -0.5[/tex]

Let's check region B. I'll try x = 0.

f ' (x) = 12x^2 - 3

f ' (0) = 12(0) - 3

f ' (0) = -3

The result is negative, so f ' (x) < 0 when [tex]-0.5 < x < 0.5[/tex]. The f(x) curve is decreasing on this interval.

The change from increasing to decreasing as we pass through x = -0.5 indicates that we have a local max here.

Plug x = -0.5 into the original function to find its paired y coordinate.

f(x) = 4x^3 - 3x + 3

f(-0.5) = 4(-0.5)^3 - 3(-0.5) + 3

f(-0.5) = 4

The point (-0.5, 4) is a stationary point. More specifically, it's a local max.

Side note: This is the same as the point (-1/2, 4) when written in fraction form.

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

Let's check region C

I'll try x = 2

f ' (x) = 12x^2 - 3

f ' (2) = 12(2)^2 - 3

f ' (2) = 45

The positive outcome tells us that any number from region C does the same, and f ' (x) > 0 when [tex]0.5 < x < \infty[/tex]. The function f(x) is increasing on this interval.

Region B decreases while C increases. The change from decreasing to increasing indicates we have a local min when x = 0.5

Plug this x value into the original equation

f(x) = 4x^3 - 3x + 3

f(0.5) = 4(0.5)^3 - 3(0.5) + 3

f(0.5) = 2

The local min is located at (0.5, 2) which is the other stationary point.

The graph and sign chart are shown below.

The local min is located at (0.5, 2) which is the other stationary point.

How to Determine whether each of the stationary points is a maximum or a minimum?

Stationary points occur when the derivative is zero, when the graph is neither increasing nor decreasing.

Apply the derivative to get:

f(x) = 4x^3 - 3x + 3

f ' (x) = 12x^2 - 3

Then set it equal to zero and solve for x.

f ' (x) = 0

12x^2 - 3 = 0

12x^2 = 3

x^2 = 3/12

x^2 = 1/4

x = 1/2 or x = -1/2

x = 0.5 or x = -0.5

The first derivative test to help determine if we have local mins, local maxes, or neither.

A = numbers to the left of -0.5

B = numbers between -0.5 and 0.5 excluding both endpoints

C = numbers to the right of 0.5

Thus, The values -0.5 and 0.5 are not in any of the three regions. They are the boundaries.

Let's try something like x = -2

f ' (x) = 12x^2 - 3

f ' (-2) = 12(-2)^2 - 3

f ' (-2) = 45

In this case, f ' (x) > 0 when we're in region A.

Let's check region B x = 0.

f ' (x) = 12x^2 - 3

f ' (0) = 12(0) - 3

f ' (0) = -3

The result is negative, so f ' (x) < 0 when f(x) curve is decreasing on this interval.

The change from increasing to decreasing as we pass through x = -0.5 indicates that we have a local max here.

Substitute x = -0.5 into the original function to find its paired y coordinate.

f(x) = 4x^3 - 3x + 3

f(-0.5) = 4(-0.5)^3 - 3(-0.5) + 3

f(-0.5) = 4

The point (-0.5, 4) is a stationary point, it's a local max.

Let's check region C x = 2

f ' (x) = 12x^2 - 3

f ' (2) = 12(2)^2 - 3

f ' (2) = 45

The positive outcome tells us that any number from region C does the same, and f ' (x) > 0 when The function f(x) is increasing on this interval.

Susbtitute this x value into the original equation

f(x) = 4x^3 - 3x + 3

f(0.5) = 4(0.5)^3 - 3(0.5) + 3

f(0.5) = 2

Hence, The local min is located at (0.5, 2) which is the other stationary point.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2

6. (5 points) Graph using two intercepts; show your work in finding the intercepts. 6x - 3y = 18
х

Answers

Answer:

Divide both sides by 18. The new coefficients will be the reciprocals of the intercepts:

[tex]6x-3y=18 \rightarrow \frac6{18}x - \frac3{18}y = 1 \rightarrow \frac x3-\frac y6 =1[/tex] The two intercepts are then 3 and -6.

(I know, dividing by 3 both sides of the equations would have made the whole process way easier).

Alternatively, plug x = 0 to find the y intercept and y=0 to find the x intercept. Either way the graph will look something like the one I'm sketching on paint.

4) Change the recurring decimal 0.18 to a fraction. (2marks)
You must show all your working.

Answers

Answer:

18/100 or 9/50

Step-by-step explanation:

First, put 0.18 over 100 because there are 2 digits in the decimal, so you convert it to 18/100. Then, simplify it, and because the GCF is 2, divide the numerator and denominator. The final fraction ins 9/50.

A shed has dimensions of 12m in length and 5 m in width. Both the length and
width are increased by the same amount in order to increase the floor area by
more than double the original area. What is the amount of the increase in length?

Answers

Answer:

Length = 24

Step-by-step explanation:

It says, " Both the length and  width are increased by the same amount..." this means that both 12m and 5m were increased. So 12 + 12 = 24 and 5 + 5 = 10.

lol Looks like someone has the same math assignment as me

Evaluating Expressions with Real Numbers - Item 8069
Which statement best explains why this expression is equal to 1?
0.54 +0.27
0.24 + 0.57

Answers

Answer:

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. For example 0.54+0.27 and 0.24 +0.57, If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.

hope this helps.

A restaurant bill comes to $28.35. Find the total cost if the tax is 6.25% and a 20% tip is left on the amount before tax.

Answers

Bill was for $28.35.  A 20% tip would come to $5.67.  If we add this tip to the $28.35 bill, we get a total of $28.35 + $5.67 + 0.0625($28.35)

                                                 = $35.79 (total)

please give brainlist

need help with math probelem i will give you 5 stars and a good rating

Answers

Answer:

8 feet

Step-by-step explanation:

12 x 2 =24

40 - 24 = 16

16 /2 = 8

Hope it helps :)

Conner earns 24$ working every 1.5 12 blank

Answers

Answer: That makes no sense. Maybe did your copy and paste corrupt? Or mistyped the question? Get back to me and I’ll help!!

Step-by-step explanation:

A graph of y=f(x) is given. No formula for f is given. Find the graph of g(x)=f(-1/2x).

Answers

Answer:

B

Step-by-step explanation:

To do this, we'll need to understand the skeleton form of transformations and what each variable represents in the equation. We have y = a(x-h) + k, where a represents vertical scaling, h the horizontal shift, and k the vertical shift.

So in this case, we need to reflect the graph over the y axis and horizontally scale it by a factor of 2 (i.e. stretch the graph horizontally). The answer is B.

how do i solve for this?

Answers

For one set the two equations equal to eachother and solve from there. 2 is 45
For three set the two equations equal. Same for four

PLEASE HELP ME WITH THIS! I NEED TO PASS THIS ASAP

Answers

Answer:

The Y-Int. is 60

Step-by-step explanation:

0 marks the x axis, which leads me to believe 60 is the Y-int so (0,60)

Consider the equation of a circle If the line is its diameter. Then find the value of a.

Answers

Answer:

more info??? bc that doesn't make sense i guess

Arrange the following numbers in increasing order.

2.3, 45.1, 18.735, 0.9862, 7

Answers

Step-by-step explanation:

1. 0.9862

2. 2.3

3. 7

4. 45.1

5. 18.735

Which expression is equivalent to (6x + 12)?

Answers

Answer:

2(3x + 6)

Step-by-step explanation:

2. Locate fire stations so that each district has a fire station in it or next to it, formulate this problem to minimize the number of fire stations needed. ​

Answers

Answer:

hello which grade question i

Okie I need help I don’t understand thank you

Answers

Answer:

12

Step-by-step explanation:

8x+4x = 12x

-3+3= 0

12x+0=180

x=180/12

x=15

help me please thanks ​

Answers

Answer:

9.25 would be the value of x

Explanation:

Perimeter = 2(l + w)

2(13.25 + 9.25)

= 45

Determine the y-intercept of the following equation.
(-2 - 1)(2+3) = y

Answers

Answer:

(0,-15)

Step-by-step explanation:

i think.. trust someone else!! I'm not 100% sure...

From a sample of 45 students exam scores, it was found that there was a mean score was 75 and a standard deviation of 5. Assume the distribution of exam scores is normal.

construct and interpret a 95% confidence interval for the true mean score.

Answers

Answer:

The 95% confidence interval for the true mean score is [tex][73.539,76.461][/tex]

Step-by-step explanation:

Note that [tex]CI=\bar x\pm z\frac{s}{\sqrt{n}}[/tex] where [tex]\bar x[/tex] is the sample mean, [tex]z[/tex] is the upper critical value for the desired confidence level, [tex]s[/tex] is the sample standard deviation, and [tex]n[/tex] is the sample size.

Therefore, [tex]CI=75\pm 1.96\frac{5}{\sqrt{45}}\approx[73.539,76.461][/tex]

are Proportional and non-proportional equations are all linear.

Answers

Proportional and linear functions are very similar. The only difference is the addition of the “​b​” constant to the linear function. A proportional relationship is just a linear relationship where ​B​ = 0, or where the line passes through the origin (0, 0).

Identify the x-intercept and y-intercept of the line 3x - 6y = – 12.

Answers

Question: 3x-6y= -12
Answer: (solve x) x= -4+2y (solve y) y=2+1/2

Answer:

x=32

Step-by-step explanation:

Please help i rlly need itttt

Answers

Answer:

The value of x is the value where the line crosses the x-axis!

________________________________________________________

Hope this helps!!

Please tell me if I have made a mistake!!

I enjoy learning from them:)

Answer:

x = y - b/m (with the obvious restriction m ≠ 0 )

Step-by-step explanation:

If

y = mx + b

subtracting b from both sides

y - b = mx

dividing both sides by m

y - b/m = x

flipping the sides (to make it look more normal)

x = y - b/m

Solve for the value of X

Answers

Check the picture below.

The scale of a map is known to be 1: 500 000. Find the actual distance (in km) between a mall and the bus interchange if the represented distance on the map is 3.2 cm.​

Answers

Step-by-step explanation:

when the scale says 1:500000, then that means 1 unit in the map corresponds to 500000 units in reality.

and so, 3.2 cm on the map are

3.2 × 500000 cm in reality.

3.2 × 500000 = 1,600,000 cm = 16,000 m = 16 km

An angle measures 26.9 degrees. What is its complement?

Answers

Answer:

63.1°

Step-by-step explanation:

Complementary angles sum 90°

90 - 26.9 = 63.1°

Other Questions
Por qu fue muy significativo el sueo de los 9 aos para Don Bosco? Someone please help!:) Find the area of the circle. Use 3.14 for it. E d = 10 cm A = [?] cm2 A=7tr2 How many moles of Al are needed to react exactly with 10.00 moles of Fe2O3 according to the followingequation?Fe2O3 + 2 Al Al2O3 + 2FeA) 15.0 moles1B) 20.0 molesC) 30.0 molesD) 60.0 molesE) 35.0 moles A major financial institution hired a renowned security firm to attempt to compromise its computer network. A few days later, the security firm reported that it had successfully entered the financial institution's computer system without being detected. The security firm presented an analysis of the vulnerabilities that had been found to the financial institution. This is an example of a Are the sentences correct or incorrect1. Optical illusions are a recent idea.2. Akiyoshi Kitaoka designed his optical illusion for a car advertisment.3.There are several of Alexander McQueens optical illusions dresses.4. You can find optical illusions in the natural word.5. In Professor Wisemans experiment people had to draw a brick.6. In the experiment, the more creative people found it easier to see the duck and the rabbit. In an accelerated failure test, components are operated under extreme conditions so that a substantial number will fail in a rather short time. In such a test involving two types of microchips, 580 chips manufactured by an existing process were tested, and 125 of them failed. Then, 780 chips manufactured by a new process were tested, and 130 of them failed. Find a 90% confidence interval for the difference between the proportions of failures for chips manufactured by the two processes. (Round the final answers to four decimal places.) The 90% confidence interval is During which element of plot can the result of the conflict be predicted? Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces? (the answer is NOT 61 or 62.) A plank 6m long leans against a vertical wall so that the foot of the plank is 4m away from the wall. A lizard climbs 2m up the plank. Calculate the horizontal distance between the lizard and the wall. The population of Greater Accra increased by 20% and became 900,7000. The original population of the city was: Write the quotient as a single power?[tex]\frac{7^4}{7^0}[/tex] A car is travelling in the velocity of 20 m/ s . After 30 sec it covers a distance of 1200 m. Calculate the acceleration of car and the final velocity of the car You prepare a gel mobility assay with the following samples:Lane 1 Radiolabeled lacO DNA + Lac Repressor protein preincubated with allolactoseLane 2 Radiolabeled lacO DNA + Lac Repressor protein preincubated with lactoseLane 3 Radiolabeled lacO DNA + Lac Repressor protein missing its DNA binding domainLane 4 Radiolabeled lacO DNA + Lac super-repressor (Is) preincubated with allolactoseLane 5 Radiolabeled lacO DNA + lac repressor proteinOn which lanes do you expect to see two bands?a. 3b. Lane 1 and 2c. Lane 2, 4, and 5d. 2 and 4e. 1 and 5 Helppp, at least 6 sentences The word affected is CLOSEST in meaning to: A. influenced B. effect C. destroyed D. harmed Which is the inverses I still dont get this job description about doctor Instructions: Find the missing side. Round your answer to the nearesttenth.59028XX= Explain the benefits of many different ethnic groups in Ghana