Ali, Basti and Cian stand at three points A, B and C respectively. Suppose that the measure of angle ABC is 50 degrees , the measure of angle BAC is 60 degrees and Ali is exactly 150 ft away from Basti. Find the distance between Basti and Cian.

Answers

Answer 1

To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.


Related Questions

two squares of the side 10 cm were joined together to form a rectangle. Calculate the perimeter of the rectangle.​

Answers

Answer:

Step-by-step explanation:

If they were joined together, wouldn't the length of both squares combined be 20cm?

Therefore, it'd be (10+20+10+20) for the perimeter.

60cm.

Plz help I need help

Plz help I need help

Answers

Answer:

The first one: -1 1/4

Step-by-step explanation"

whats 21x5 I had trouble with this in 3rd now I'm in college and I still want to figure it out

Answers

Answer:

21 * 5 is 105

Step-by-step explanation:

P.S Can I have brainliest?

21x5 is your mom because it is

Which equation matches the table
x 0 1 2 3 4 5
y 5 6 7 8 9

Answers

Answer:

5 equation matches the table

(Giving Brainliest) A skateboarding ramp is 10 in. high and rises at an angle of ​21°. How long is the base of the​ ramp? Round to the nearest inch.

Answers

Answer:

26 inches

Step-by-step explanation:

Tan = opp/adj = height/base

tan 21 = 10/base

base = 10/tan21

base = 26.050890646938015

Rounded

26 inches

Answer:

26 in. to nearest inch.

Step-by-step explanation:

tan 21 =  10 / L   where L is the length of the base.

L = 10 / tan 21

= 26.05 in.

please help me with this please i need the amswers for today,​

please help me with this please i need the amswers for today,

Answers

The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

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Jay works at a sandwich shop. He needs to make 7 turkey sandwiches. Each sandwich will have 1/3 of a pound of turkey. How many pounds of turkey will Jay need to make the sandwiches? Remember what of means! And remember to press submit after you answer the question

Answers

Answer:

Jay will need 2 and 1/3 pounds of turkey.

Step-by-step explanation:

Since Jay uses 1/3 per sandwich and is making 7, multiply 7 by 1/3.

That gets you 7/3s

Convert it into a mixed number.

3 goes into 7 twice, with one third left over.

So, Jay needs 2 1/3.

hope this helped!

Answer:

approximately 2.3 pounds of turkey. Trust the BlueDragon

Step-by-step explanation:

7 times 1/3= 2.33333

Hi can any one teach me this constant difference ​

Hi can any one teach me this constant difference

Answers

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

How do you find the constant difference in a sequence of numbers?

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Which can be used as evidence in an argumentative text? Check all that apply. beliefs rumors anecdotes studies statistics

Answers

Answer:

Step-by-step explanation: Its a question where you need to answer since is a check all apply so I cant help you on this one good luck though!!!

Answer:

I believe that it's C, D, E

anecdotes

studies

statistics

sorry if I'm wrong

Step-by-step explanation:

PLEASE HELP ME OUT

An isosceles triangle has a side measurement of 13 inches and a height of 5 inches. How long is the entire base of the isosceles triangle?

PLEASE HELP ME OUT An isosceles triangle has a side measurement of 13 inches and a height of 5 inches.

Answers

The length of the entire base of isosceles triangle is BC = 24 inches

What Is an Isosceles Triangle?

A triangle with two sides of equal length is an isosceles triangle. The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.

In an isosceles triangle, the two equal sides are called legs, and the remaining side is called the base. The angle opposite the base is called the vertex angle

The three types of Isosceles Triangles are :

Isosceles acute triangle

Isosceles right triangle

Isosceles obtuse triangle

Given data ,

Let the isosceles triangle be represented as ABC

Now , the height of the triangle is AD is h = 5 inches

The side measurement of the isosceles triangle is s = 13 inches

So , the triangle ADC is a right angled triangle

And , the side DC of the triangle from the Pythagorean theorem is

DC = √ ( 13 )² - ( 5 )²

DC = √ ( 169 - 25 )

DC = 12 inches

And , the base of the triangle is BD + DC = 12 + 12

So , the base of the triangle BC = 24 inches

Hence , the triangle is having a base of 24 inches

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Pls help ASAP if you can

Pls help ASAP if you can

Answers

Answer:

136 units²

Step-by-step explanation:

6(4)/2 = 12 (since you have two triangles you don't really have to divide and you can just write 24)5(7) + 5(7) + 6(7) = 136 units².I know no one really uses the explanations but eh.

Find the radius of a circle that has an area of 121 pi f2

Answers

Answer: r=11

Step-by-step explanation:

A=πr^2

A=121π

121π=πr^2

r^2=121

r=11

Find the value of x that will make A||B.
А
B
4x
2x
x = [?]

Find the value of x that will make A||B.B4x2xx = [?]

Answers

Answer:

x = 30

Step-by-step explanation:

4x + 2x = 180

6x = 180

x = 30

Which of the following numbers is the closest to 3.49 10

Answers

10.20 12 round of 12 at 10 to the nearest 10th

Some triangles can have more than one right angle true or false

Answers

Answer:

False

Step-by-step explanation:

Since a triangle must contain 3 interior angles all adding to 180°, then there can't be more than one right angle since 2 right angles would add up to 180°.

Convert from radians to degrees.

1/4π

Answers

1/4π radians is approximately equal to 45 degrees.

To convert a value from radians to degrees, multiply the value by 180/π. For example, to convert π/4 radians to degrees, multiply π/4 by 180/π to get 45 degrees. This conversion is useful for converting angles between the two units of measurement.

Degrees = Radians × 180/π.

Therefore, to convert 1/4π radians to degrees, we have:

Degrees = (1/4π) × (180/π) ≈ 45°

Hence, 1/4π radians is approximately equal to 45 degrees.

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Express your answer as a polynomial in standard form.f(x) = -2.c + 10g(x) = 3x² + 5x + 14Find: f(g(x))

Express your answer as a polynomial in standard form.f(x) = -2.c + 10g(x) = 3x + 5x + 14Find: f(g(x))

Answers

Given:

\(\begin{gathered} f(x)=-2x+10 \\ g(x)=3x^2+5x+14 \end{gathered}\)

To find f(g(x)), put the expression for g(x) in place of x in f(x).

\(\begin{gathered} f(g(x))=-2(3x^2+5x+14)+10 \\ =-2\times3x^2-2\times5x-2\times14+10 \\ =-6x^2-10x-28+10 \\ =-6x^2-10x-18 \end{gathered}\)

Therefore,

\(f(g(x))=-6x^2-10x-18\)

Which one of these grids is shaded red and blue in the ratio 0.5 : 1

Answers

Answer:

C

Step-by-step explanation:

Solution: --

The ratio of red to blue is 1:2. The grid is 12 pieces. So. There are 4 shades of red and 8 blue shadows. math.

if it helped uh please mark me a brainliest :))

a student spends 18 out of 35 of his pocket money on transport and fruit what is the fraction left?​

Answers

To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.

The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.

Therefore, the fraction of pocket money left can be written as 17/35.

17 units would be your answer

The ordered set of data 18, 21, 24, a, 36, 37, b has a median of 30 and an average of 32. Find a and b? (Note the values are in order so 24 ≤ a ≤ 36 and 37 ≤ b.)

Answers

Answer:

a=30

b=58

Step-by-step explanation:

18+21+24+36+37+a+b=7×32

a=30

b=58

The solution is, the value of a & b are:

a=30

b=58

What is median?

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

here, we have,

given that,

The ordered set of data 18, 21, 24, a, 36, 37, b

has a median of 30

and an average of 32.

now, we get,

Median is always the middle value of a well-arranged data set i.e. in ascending or descending order.

so, here, median  = 4th term

i.e. 4th term = a

so, a = 30

again, we have,

18+21+24+36+37+a+b=7×32

now, we have,

18+21+24+30+36+37+b=7×32

so. we get,

b= 224 - 166

 =58

Hence, The solution is, the value of a & b are:

a=30

b=58

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Review the Monthly Principal & Interest Factor chart to answer the question:


FICO Score APR 30-Year Term 20-Year Term 15-Year Term
770–789 5.5 $5.68 $6.88 $8.17
750–769 6.0 $6.00 $7.16 $8.44
730–749 6.5 $6.32 $7.46 $8.71
710–729 7.0 $6.65 $7.75 $8.99
690–709 7.5 $6.99 $8.06 $9.27


Determine the percent decrease in total principal and interest paid between a 30-year term mortgage and a 15-year mortgage with a principal balance of $484,500.00 and a 6.5% APR. Round the final answer to the nearest tenth.
31.0%
31.1%
59.0%
68.5%

Answers

The percent decrease in total principal and interest paid between a 30-year term mortgage and a 15-year mortgage with a principal balance of $484,500.00 and a 6.5% APR is 31.0%. (Option A)

How is this so ?

To calculate the  percent decrease, we can use the following formula.

Percent decrease = ( (30-year factor -   15-year factor) / 30-year factor) x 100

Substituting the values from the chart.  

= (($ 6.65 - $8.71) / $6.65) x 100

= ( -$ 2.06 / $6.65) * 100

= -0.309 *  100

Percent decrease ≈ - 30.9 %

Since the question asks for the percent decrease as a positive value, we take the absolute value of the result which is

Percent decrease ≈ 31%

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Solve for x:
3x - 6 = 12

Answers

Answer:

x = 6

Step-by-step explanation:

3x - 6 = 12

3x = 18

x = \(\frac{18}{3}\)

x = 6

x = 6

i did the work on paper so i hope this helps!!
Solve for x:3x - 6 = 12

Solve for X

Pls help if you can

Solve for XPls help if you can

Answers

Answer:

x+8

Step-by-step explanation:

144-24 =120

120/15=8

x=8

Suppose it takes John 10 minutes to run1 mile. How long would it take if he to run 4 kilometers

Answers

Answer; 25.3
Evidence; 4 kilometers is 2.49 miles so 10•2=20
0.49 miles left so what we would do here is 0.1 mile is 1 minute so 0.01 mile is 10 seconds so 0.09 miles would be 90 seconds, and 90 seconds is 1 min and a half so thats 20+4+1.30=25.3
pls mark as brainlist if possible!

When an opinion poll selects cell phone numbers at random to dial, the cell phone exchange is first selected and then random digits are added to form a complete telephone number. When using this procedure to generate random cell phone numbers, approximately 55% of the cell numbers generated correspond to working numbers. You watch a pollster dial 15 cell numbers that have been selected in this manner.
(a) What is the mean number of calls that reach a working cell number?
0.55
15
8.25
30
(b) What is the standard deviation ????σ of the count of calls that reach a working cell number?
0.55
2.872
1.927
3.7125
(c) Suppose that the probability of reaching a working cell number was p=0.70p=0.70 . How does this new pp affect the standard deviation?
When p=0.70,σ=3.24 calls.
When p=0.70,σ=3.15 calls.
When p=0.70,σ=1.775 calls.
When p=0.70,σ=10.5 calls.
What would be the standard deviation if p=0.80 ? (Enter your answer rounded to three decimal places.)
σ=
What does your work show about the behavior of the standard deviation of a binomial distribution as the probability of a success gets closer to 1 ?
As p approaches 1 , the standard deviation increases (that is, it approaches 0).
As p approaches 1 , the standard deviation increases (that is, it gets further and further from 0)
As p approaches 1 , the standard deviation remains constant.
As p approaches 1 , the standard deviation decreases (that is, it approaches 0).

Answers

Answer:

a. \(Mean = 8.25\)

b. \(SD = 3.7125\)

c. \(SD = 3.15\)

d. \(SD = 2.4\)

e. As p approaches 1 , the standard deviation increases (that is, it approaches 0).

Step-by-step explanation:

Solving (a):

\(p = 55\%\)

\(n = 15\)

Find Mean

Mean is calculated as thus:

\(Mean = n * p\)

\(Mean = 15 * 55\%\)

Convert percentage to decimal

\(Mean = 15 * 0.55\)

\(Mean = 8.25\)

Solving (b):

Calculate Standard Deviation (SD)

Standard deviation is calculated as thus:

\(SD = n * p * (1 - p)\)

\(SD = 15 * 55\% * (1 - 55\%)\)

Convert percentage to decimal

\(SD = 15 * 0.55 * (1 - 0.55)\)

\(SD = 15 * 0.55 * 0.45\)

\(SD = 3.7125\)

Solving (c):

Calculate Standard Deviation if p = 0.7

Using same formula used in (b) above

\(SD = n * p * (1 - p)\)

\(SD = 15 * 0.7 * (1 - 0.7)\)

\(SD = 15 * 0.7 * 0.3\)

\(SD = 3.15\)

Solving (d):

Calculate Standard Deviation if p = 0.8

Using same formula used in (b) & (c) above

\(SD = n * p * (1 - p)\)

\(SD = 15 * 0.8 * (1 - 0.8)\)

\(SD = 15 * 0.8 * 0.2\)

\(SD = 2.4\)

Solving (e):

What does the working show

In (b)

When p = 0.5

SD = 3.7125

In (c)

When p = 0.7

SD = 3.15

In (d)

When p = 0.8

SD = 2.4

Notice that as the value of p increases, the standard deviation gets closer to 0.

You are traveling in a car. Your speed is 30 miles per hour. What is your speed in feet per minute?

Answers

Answer:

.5

Step-by-step explanation:

30 miles a hour divide by 60 so your going half a mile a minute

Your speed in feet per minute is 2640 ft/min.

What is unit rate?

A unit rate means a rate for one of something.

Given that, Your rate of speed is 30 miles for every 1 hour

We know, 1 mile = 5280 feet

Therefore, 30 miles = 30x5280 = 158400 feet

That means, you are travelling 158400 feet for every hour

In an hour, there are 60 minutes,

Therefore, you are travelling 158400 feet in every 60 minutes.

In 60 minutes = 158400 feet

In 1 minute = 158400/60 = 2640 feet

That means you are travelling 2640 feet in every 1 minute.

Hence, your speed in feet per minute is 2640 ft/min.

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In 1993, the moose population in a park was measured to be 4100. By 1998, the population was measured again to be 3000. If the population continues to change linearly

Answers

there seems to be missing text

Can you pls tell me what is the Function, Range, x-intercept and the y-intercept?

Can you pls tell me what is the Function, Range, x-intercept and the y-intercept?

Answers

The x -intercepts of the function are the values of x where the graph cuts the x-axis. These are ;

x= 2 at {2,0}

x= 3 at {3,0}

x- intercepts { x=2, and x =3}

The y-intercept is where the graph cuts the y-axis. In this case is at : y=8

The range of a function is a set of all possible values of y resulting from the different values of x

In this case you have ;

at

x = 0 -------- y= 8

x= 1 -----------y= 3

x= 2------------y = 0

x=3 ------------y=-1

x=4 -------------y=5

x= -1, ------------y=3

The range is { -1, 0, 3,5 , 8}

If a figure is a rectangle, it is a parallelogram.
P: a figure is a rectangle
Q: a figure is a parallelogram
which represents the inverse of this statement is the inverse true or false 

Answers

The inverse statement is false.

The inverse of the statement "If a figure is a rectangle, it is a parallelogram" would be:If a figure is not a rectangle, then it is not a parallelogram.To determine if the inverse is true or false, we need to evaluate its validity. In this case, the inverse statement is false. Just because a figure is not a rectangle does not mean it cannot be a parallelogram. There are other types of parallelograms, such as squares and rhombuses, that are not rectangles. Therefore, the inverse statement is false.

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21. SCALE FACTOR A regular nonagon has an area of 90 square feet. A similar
nonagon has an area of 25 square feet. What is the ratio of the perimeters of
the first nonagon to the second?

Answers

Answer:

The ratio of the perimeters of the first nonagon to the second is 3.6 to 1.

Step-by-step explanation:

Given that a regular nonagon has an area of 90 square feet, and a similar nonagon has an area of 25 square feet, to determine what is the ratio of the perimeters of the first nonagon to the second, the following calculation must be performed:

25 = 1

90 = X

90/25 = X

3.6 = X

Therefore, the ratio of the perimeters of the first nonagon to the second is 3.6 to 1.

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