find the length of bc
give your answer to 3 signifcant figures

Find The Length Of Bcgive Your Answer To 3 Signifcant Figures

Answers

Answer 1

Using the cosine ratio, side BC in the right-angled triangle is approximately 19.4 cm when rounded to three significant figures.

In the right-angled triangle ABC, where angle A is 90 degrees, side AB is the base, side AC is the perpendicular, and side BC is the hypotenuse, we can use trigonometry to find the length of BC.

The cosine ratio (cos) relates the adjacent side to the hypotenuse in a right-angled triangle. In this case, cos(B) = AB/BC. To find BC, rearrange the formula to BC = AB/cos(B).

Given AB = 6.3 cm and angle B = 71 degrees, substitute these values into the formula:

[tex]\[ BC = \frac{6.3 \, \text{cm}}{\cos(71^\circ)} \][/tex]

Using a calculator, find that cos(71 degrees) is approximately 0.325. Now, divide 6.3 cm by this value:

[tex]\[ BC \approx \frac{6.3 \, \text{cm}}{0.325} \approx 19.385 \, \text{cm} \][/tex]

Rounded to three significant figures, the length of side BC is approximately 19.4 cm.

Learn more about cosine ratio here:

https://brainly.com/question/16957789

#SPJ6


Related Questions

What type of lines are layered directly on top of each other?

Answers

Parallel lines
Explanation:

Select all that are measures of angles that are coterminal with a –50° angle. –770° –530° –410° 50° 310° 360° 410° 670°

Answers

Answer:

-770, -410, 310, 670

Step-by-step explanation:

-50 + 360 = 310

310 + 360 = 670

-50 - 360 = -410

-410 - 360 = -770

For the angle -50°, from the given options, the coterminal angles are: -770°,-410°, 310° and 670°.

Coterminal Angles

This classification represents angles that do not present the same value, but they present vertices and sides are identical. Also, if the angles are coterminal, then their sines, cosines and tangents are equal.

A coterminal angle can be found from the formula β = α ± 360 * w, where w is a positive integer.

You should replace w for integers numbers ≥ 1. Hence,

For w=1 and α=-50°

        β = -50± 360 * 1

         β = -50± 360

      Then, β can be -50+360=310° or -50-360= -410°

For w=2 and α=-50°

        β = -50± 360 * 2

         β = -50± 720

      Then, β can be -50+720=670° or -50-720= -770°

For w=3 and α=-50°

        β = -50± 360 * 3

         β = -50± 1080

      Then, β can be -50+1080=1030° or -50-1080= -1130°

Read more about the coterminal angles here:

https://brainly.com/question/19573972

What type of object is pictured below?

Answers

Answer:

ray

Step-by-step explanation:

Answer:

C, a ray

Step-by-step explanation

Can anybody help? Exponential Functions

Answers

................................................................................................

Can someone help me do this thank you​

Answers

Answer:

d = 15

Step-by-step explanation:

6+15 = 21

Carl’s square swimming pool has a volume of 1000 cubed feet. What are dimensions of his pool?

Answers

Answer: the answer is down bellow

Step-by-step explanation:

x3-10oo Dimensions ft each S.

Final answer:

The dimensions of Carl's square swimming pool, given that its volume is 1000 cubic feet, are approximately 10 feet by 10 feet by 10 feet.

Explanation:

Carl's swimming pool is a cube since all sides are equal. The volume of a cube is calculated by cubing one side (s^3). In this case, knowing that the volume is 1000 cubed feet, we can find the side length by taking the cube root of the volume. The cube root of 1000 is approximately 10 feet. Hence, the dimensions of Carl's swimming pool are 10 feet by 10 feet by 10 feet.

Learn more about Volume of a cube here:

https://brainly.com/question/3004837

#SPJ2

Rylee shopped at a clothing store, where she spent $36.50 plus 8% tax. Then, she spent $25 to refuel her car at the gas station. Finally, she bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase.

Complete the following steps to help Rylee find the net change to her banking account balance.

Answers

Answer: The net change to her banking account balance is $83.22.

Step-by-step explanation:

Hi to answer this question we have to analyze the information given:

She spent $36.50 plus 8% tax.  ( to calculate the tax amount we have to multiply the cost by the percentage in decimal form)

36.50 x (8/100) =$2.92 (value of tax)

Adding to the original cost

36.50+2.92 = $39.42

Then, she spent $25 to refuel her car at the gas station.

39.42 +25 = $64.42

She bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase

23.50 x (20/100) = 4.7 (amount of discount)

Subtracting to the purchase

23.50 -4.7= $18.8

Finally, adding to the total cost.

64.42 +18.8 = $83.22

Final answer:

To find the net change in Rylee's banking account balance, calculate the tax on her clothing purchase, add the fuel cost, and then subtract the grocery discount from the grocery purchase before summing all costs to get a total of $83.22.

Explanation:

The problem of calculating the net change to Rylee's banking account balance is a typical Mathematics problem involving percentages and addition. This is commonly tackled at the High School level. To solve it, we will need to calculate the total cost of each of Rylee's expenditures, including the application of tax and discounts where applicable.

Start by calculating the tax on the clothing store purchase: $36.50 * 8% = $2.92.Add the tax to the original amount to get the total clothing cost: $36.50 + $2.92 = $39.42.Add the fuel cost directly as there is no tax mentioned: $39.42 + $25 = $64.42.Calculate the discount on groceries: $23.50 * 20% = $4.70.Subtract the discount from the grocery total to find the final cost: $23.50 - $4.70 = $18.80.Add the discounted grocery cost to the previous total: $64.42 + $18.80 = $83.22.

The net change to Rylee's banking account balance after all her purchases is $83.22.

Which is a right triangle formed using a diagonal through the interior of the cube?




Answers

Answer:

ΔABE is correct because it is a right triangle through a diagonal

Step-by-step explanation:

Answer: A

Step-by-step explanation:

when Quinn got home he turned the air conditioner on. T represents the temperature in Quinn's home (in degrees celsius) after t minutes. T=42-0.7t how fast did the temperature drop ??​

Answers

Answer:

0.7 per minute

Step-by-step explanation:

0.7 in the equation represents how much the tempeture was dropping per minute.

Answer:

Step-by-step explanation:

T=42-0.7T

T=42-0.7(0)

T=42-0

T=42

Given that the measurement is in centimeters, find the circumference of the circle to the nearest tenth. (Use 3.14 for π)
A) 15.7 cm
B) 31.4 cm
C) 62.8 cm
D) 78.5 cm

Answers

Answer:

Step-by-step explanation:

The formula for the circumference of a circle of radius r is C = 2πr.  That for a circle of diameter d is C = πd.  

If we assume that the measurements below are of radius, not diameter, then in A, 15.7 cm = 2(3.14)(r), so that r must be 2.5 cm.

Please be sure to share ALL of the instructions for each problem.

Circumference of the circle is 31.4 cm

Given that;

Value of π = 3.14

Assume;

Radius of circle = 5 cm (Approx.)

Computation:

Circumference of the circle = 2πr

Circumference of the circle = 2(3.14)(5)

Circumference of the circle = (10)(3.14)

Circumference of the circle = 31.4 cm

So, option "B" is the correct answer to the following question.

Learn more:

https://brainly.com/question/15957685?referrer=searchResults

What is the equation of the line through the points (-3, 4) and (5, 4)?

Answers

Answer:

The correct equation (in slope intercept form) is [tex]y=-4x+8[/tex]

       

The equation of the line through the points (-3, 4) and (5, 4) is y=4.

What is the equation of a line?

The standard form of the line is;

[tex]\rm y=mx+c[/tex]

The slope of the line is;

[tex]\rm m=\dfrac{x_2-x_1}{y_2-y_2}\\\\m =\dfrac{5-(-3)}{4-4}\\\\m =\dfrac{8}{0}\\\\m=0[/tex]

The equation of the line through the points (-3, 4) and (5, 4) is;

[tex]\rm y-y_1=m(x-x_1)\\\\y-4=0(x-(-3))\\\\y-4=0\\\\y=4[/tex]

Hence, the equation of the line through the points (-3, 4) and (5, 4) is y=4.

Learn more about the equation of line here;

https://brainly.com/question/15219867

#SPJ2

The area of a square garden is 36 square feet. What is the side length of the garden

Answers

Answer:

6

Step-by-step explanation:

because 6 times 6 =36 so the answer is 6

Answer:

6 ft

Step-by-step explanation:

We know that side * side equals area, and that squares have all sides the same length. So therefore, A = [tex]s^{2}[/tex].

If we know the area, then we can do [tex]\sqrt{36}[/tex] which equals 6

Justin is skeet shooting. The height of the skeet is modeled by the equation h= -5t^2 +32t + 2, where h represents the height in meters and t seconds after the skeet is released. The path of Justin's bullet is modeled by the equation h= 31.5t + 1, with the same units. How long will it take for the bullet to hit the skeet? How high off the ground will the skeet be?

Answers

Final answer:

By solving the system of equations representing the paths of the bullet and the skeet, we find that the bullet will reach the skeet 3.79 seconds after the skeet's release, at a height of approximately 120 meters.

Explanation:

This problem involves solving systems of equations to determine the interaction between a projectile and target, something commonly addressed in physics as well as in mathematics. The solution involves equalizing the equations[tex](h = -5t^2 +32t + 2)[/tex] modeling the height of the skeet and (h = 31.5t + 1) the path of Justin's bullet. By solving this system of equations we find two potential times, t = 3.79 s and t = 0.54 s.

Since we can reason the skeet won't get hit before it is released, disregard t = 0.54 s. Therefore, the bullet will hit the skeet 3.79 seconds after the skeet is released. This is the time it takes for the bullet to reach the skeet. To find the height at which the bullet hits the skeet, substitute t = 3.79 into either of the two original equations (both should work). Using h = 31.5t + 1, for instance, yields approximately h = 120 meters.

So, the bullet hits the skeet 3.79 seconds after the skeet is released, at a height of about 120 meters from the ground.

Learn more about Projectile motion here:

https://brainly.com/question/29545516

#SPJ3

Find the surface area of a sphere with radius of 1.5 and slant height of 6.​

Answers

Answer:

about 28.27

Step-by-step explanation:

A=4πr2

A middle school has 6th, 7th, and 8th-grade students. Which of the following would be a random sample of the students
A.) Surveying all of the teachers
B.) Surveying the students who buy their lunch in the cafeteria
C.) Surveying everyone whose last name begins with a G
D.) Surveying every 10th student who is on the class rosters

Answers

the answer would probably be d.

Answer:

c

Step-by-step explanation:

because you wount have a good esstimite you would only have the kids that start with G please mark as brainliest

The Johnson family is moving and they need a truck with at least 55 cubic meters of space. The moving trucks they have to choose from are shown in the table below. Which is the smallest truck they can use?
PLEASE I WILL MARK AS BRAINLIEST!

Answers

Answer:

Medium

Step-by-step explanation:

Cause that what it is.

So what you have to do is find the area of each truck and find the one that is only a little bit higher than 55 or exactly 55. In this case, that should be the large truck, because the medium truck is too small (approx. 40 cubic meters)

Whole numbers between 10.99 and 13.99

Answers

Whole numbers between those two would be 11, 12, and 13.

Answer:

11, 12 & 13

Step-by-step explanation:

Whole numbers between 10.99 and 13.99 are 11, 12 & 13

Consider the right triangle. A right triangles with side lengths 28 meters and 45 meters. The hypotenuse is unknown. What is the length of the hypotenuse StartRoot 53 EndRoot StartRoot 1,241 EndRoot 53 m 2809 m

Answers

Answer:

The answer is 53 or Square Root (sqrt) of 2809

Step-by-step explanation:

a^2+b^2=c^2

28^2+45^2=c^2

784+2025=c^2

c^2=sqrt 2809

c = 53

The hypotenuse of the right triangle is h = 53 m

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of base of triangle BC = 45 m

The height of the triangle AB = 28 m

And , For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

On simplifying , we get

AC² = AB² + BC²

AC² = 28² + 45²

AC² = 784 + 2025

AC² = 2809

Taking square roots on both sides , we get

The measure of hypotenuse AC = √2809 = 53 m

Hence , the measure of hypotenuse is 53 m

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ6

need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

2

Step-by-step explanation:

a=4 so plug 4 in for a 4+(-b) now we know b=2 but it has to in for b so we would get 4+(-2) now solve 4+-2 or if you think about 4-2 is easier it's going to be 2.




If each cube has edges 1.5 centimeters long, what is the volume of the prism outlined in blue?

A) 9 cm3

B) 15.5 cm3

C) 81 cm3

D) 91.125 cm3

Answers

Answer:

The answer is D) 91.125 cm3

Step-by-step explanation:

On her MP3 player, Stephanie has 36 songs shorter than three minutes and 72 songs longer than three minutes. What is the probabilty the next song will be longer than three minutes?

Answers

Step-by-step explanation:

Total songs = 36 + 72 = 108

[tex]required \: probability = \frac{72}{108} \\ \hspace{100 pt} = \frac{2}{3} \\ [/tex]

Hence, probabilty that next song will be longer than three minutes is [tex] \frac{2}{3}[/tex]

Final answer:

The probability  that the next song will be longer than three minutes is 2/3 or 66.67%.

Explanation:

The question concerns calculating the probability of selecting a song longer than three minutes from Stephanie's MP3 player. Stephanie has 36 songs shorter than three minutes and 72 songs longer than three minutes.

To find the probability that the next song will be longer than three minutes, we add the total number of short and long songs to get the total number of songs. The total is 36 + 72 = 108 songs. Since probability is the number of favorable outcomes divided by the total number of outcomes, the probability of selecting a song longer than three minutes is 72 (favorable outcomes) divided by 108 (total outcomes).

This calculation gives us 2/3 or approximately 0.6667, meaning there is a 66.67% chance the next song will be longer than three minutes.

Which sequence are geometric?

Answers

Answer:

The second one

The third one.

The last one.

Step-by-step explanation:

Hope this helps!

The Swaying Palms Hotel has 200 rooms. The graph shows the average number of
rooms occupied during each month of the year. During which month does the hotel
have the most empty rooms?

Answers

You need to add a picture of the graph

Answer:

Februay

Step-by-step explanation:


JK Fitness Center offers two membership plans. The tables represent the monthly cost, in dollars, of each membership plan based on the
number of visits to the fitness center.
PART A: At a certain number of visits, both plans will cost the same. At that number, how much will both plans cost, in dollars?

PART B: Which plan is more expensive at the 10th visit?
Write the number of the plan in the box.

Answers

Step-by-step explanation:

From the looks of it, Plan A is 25 + 2x and plan B is 40 + x.

Part A:

25 + 2x = 40 + x

x  = 15

plug in any: 40 + 15 = $55

Part B:

Plan A = $45

Plan B = $50

Plan B is $5 more expensive.

After 15 number of visits, both plans cost $55 and at the 10th visit, plan 2 is more expensive than plan 1.

What is Arithmetic Sequence?

Arithmetic sequence is a sequence of numbers where the numbers are arranged ion a definite order such that the difference of two consecutive numbers is a constant. This constant of difference is called common difference which is commonly denoted by the letter 'd'.

Part A :

From the table, we can clearly express both plans as Arithmetic sequence.

Plan 1 : First term, a = 27 and common difference, d = 2

Plan 2 : First term, a = 41 and common difference, d = 1

Let n be the number of visits that both plans costs the same.

27 + 2(n - 1) = 41 + (n - 1)

27 + 2n - 2 = 41 + n - 1

2n + 25 = n + 40

n =  15

Cost = 41 + (15 - 1) = $55

Part B :

We have to find the 10th term.

For plan 1 :

Cost at 10th visit = 27 + 2(10 - 1) = $45

For plan 2 :

Cost at 10th visit = 41 + (10 - 1) = $50

The plan 2 is more expensive at the 10th visit.

Hence at the 10th visit, plan 2 is more expensive.

Learn more about Arithmetic Sequence here :

https://brainly.com/question/10396151

#SPJ3

I NEED HELP! (Tap on picture!)

Answers

The probability of selecting a card with odd number
The answer must be E and C anything else would be wrong.

Ten cards numbered 1 through 10 are mixed together and then one card is drawn. Find the probability of each event. Write the answer in percent.
P(greater than 3)=
P(not 5, 6,7,or 8)=

Answers

Answer

probability of greater than 3 is 60%

not 5,6,7 or 8 is 60%

Answer:7/10

Step-by-step explanation: multiple of 4 is: 1,2,4. So that's 3 number which would leave you with 7 more which is 70% and 7/10 as a fraction

You go to the store and find some books that are 35% off regular price. If a book costs $20, what would you pay?

Answers

Answer: 13 dollars

Step-by-step explanation:

Answer:

13 dollars.

Step-by-step explanation:

Hope this helps!

Multiply 20 dollars by 0.65.

A museum groundskeeper is creating a semicircular statuary garden with a diameter of 23 feet. There will

be a fence around the garden. The fencing costs $7.50 per linear foot. About how much will the fencing

cost altogether? Round to the nearest hundredth. Use 3.14 for pi

Answers

Answer: $443.32

Step-by-step explanation:

Hi, to answer this question we have to calculate perimeter of a semicircle:

P = π (d/2) + d

Where d is the diameter

Replacing with the values given:

P = 3.14 (23/2) + 23 = 59.11 feet  

Since each linear foot cost $7.50, we have to multiply that cost by the perimeter.

59.11 x 7.50 = $443.32

Feel free to ask for more if needed or if you did not understand something.

The degree for 6g²h³k?

Answers

Answer:

the degree for this monomial is 7

Step-by-step explanation:

g^2 = 2

h^3= 3

k = 1

add the exponents- 2+3+1= 7

3/5 * (t + 26) = −3(2 − t)

t =

Answers

Answer:

t=9

Step-by-step explanation:

Other Questions
Given the following history, use a three-quarter moving average to forecast the demand for the third quarter of this year. Note, the 1st quarter is Jan, Feb, and Mar; 2nd quarter Apr, May, Jun; 3rd quarter Jul, Aug, Sep; and 4th quarter Oct, Nov, Dec. JAN FEB MAR APR MAY JUN JUL AUG SEP OCT NOV DEC Last year 100 125 135 175 185 200 150 140 130 200 225 250 This year 125 135 135 190 200 190 Forecast for the third quarter: 5.19 Identify the force present and explain whether work is being performed in the following cases: (a) You lift a pencil off the top of a desk. (b) A spring is compressed to half its normal length. Which of these was President Lincoln's central goal during the Civil War? (5 points)Group of answer choicesTo end slavery in all U.S. statesTo preserve the UnionTo keep the U.S. economy from collapsingTo punish the Southern states for seceding what crime does kevin tell leo he has committed that has caused the students at mica area high school to shun him? After a long soccer practice, Jack felt his pulse increase. As he cooled down, his pulse began to slow. Since he'd been studying the circulatorysystem in science class, he knew why his pulse slowed.What is the main structure of the circulatory system that makes the blood move through the body?OA. arteryOB. lymph vesselsC. heartD. lungs Which correctly uses bar notation to represent the repeating decimal for StartFraction 6 Over 11 EndFraction 0.5ModifyingAbove 4 with bar 0.54ModifyingAbove 54 with bar 0.ModifyingAbove 54 with bar 0.ModifyingAbove 545 with bar The owner of a coffee shop chain creates a graph representing sales in thousands of dollars. She describes the characteristicsas follows:There have been two turning points in sales this yearSales are expected to increase in the long run.The least amount of sales during the year is about $250,000,Which graph correctly shows the coffee shop's sales? please list first 5 multiples of:2030first correct answer is the brainliest Round to 2 SF646.42plz "Barclay is getting ready for a date with someone new. Before he leaves his apartment, he decides to smoke some marijuana, which he believes helps him to be more charming and interesting. Which theoretical perspective best explains Barclay's actions"? F (x) = 5x-10 determine x when f (x) = 15 20 times the sum of 4 and 2 Help me with IXL Math...I'll MARKO you as Brainliest. A business owner collected data on the people working for her company. She determined the average number of minutes each employee spent on breaks during an average workday. The data, broken up by gender, is shown below. Which factor has the least effect on the weathering of a rock? *A) Composition of rockB) Exposure of the rock to the atmosphereC) The number of fossils found in the rockD) Climatic conditions What environmental conditions induce oxygen to bind to hemoglobin? An environment high in carbon dioxide An environment high in oxygen An environment under high pressure An environment under low pressure y = -x - 3; (0,7)Write an equation of the line that is parallel to the given line and passes through the given point. Match each example with its correct conversion.1.342 liters to milliliters1,3421,342 centigrams to grams13.421,342 micrograms to milligrams1.34213.42 centiliters to microliters134,200 What is an important requirement for a manned spacecraft traveling through space? help me please for brainliest!