What is the area of the following circle? Please tell me how you did it

Answer:

The length of ST to the nearest tenth of a foot is 5.2 ft

Step-by-step explanation:

Here we have

∡T = 90°

∡R = 64°

RS = 5.8 ft

To answer the question, we have apply sine rule as follows;

[tex]\frac{a}{Sin\alpha } = \frac{b}{sin\beta } = \frac{c}{sin\gamma}[/tex]

Therefore, for triangle RST, we will have;

[tex]\frac{RS}{SinT } = \frac{ST}{sinR } = \frac{RT}{sinS}[/tex]

Therefore;

[tex]\frac{5.8}{Sin90 } = \frac{ST}{sin64 }[/tex] from which

[tex]{ST}{ } = \frac{5.8 \times sin64}{Sin90 } = 5.213 \, ft[/tex]

Therefore, the length of ST to the nearest tenth of a foot = 5.2 ft.

Answer: 53 degrees

Step-by-step explanation:

Answer: The​ student's estimate is off by  

4%

Answer:

The exact probability that all three marbles drawn  will be red is [tex]\frac{1}{56}[/tex]

Step-by-step explanation:

Number of red marbles = 5

Number of blue marbles = 4

Number of Green marbles = 7

Total Number of marbles = 5+4+7=16

We are given that three marbles  are drawn out of the bag

Probability of getting 1 red marble on first draw=[tex]\frac{5}{16}[/tex]

Probability of getting 1 red marble on second draw= [tex]\frac{4}{15}[/tex]

Probability of getting 1 red marble on third draw=[tex]\frac{3}{14}[/tex]

So,the exact probability that all three marbles drawn  will be red=[tex]\frac{5}{16} \times \frac{4}{15} \times \frac{3}{14}=\frac{1}{56}[/tex]

Hence The exact probability that all three marbles drawn  will be red is [tex]\frac{1}{56}[/tex]

Final answer:

The exact probability of drawing three red marbles consecutively from a bag containing a mix of 16 marbles is 1 in 56, calculated by multiplying the probabilities of each draw without replacement.

Explanation:

The question asks for the exact probability that all three marbles drawn from a bag containing 5 red marbles, 4 blue marbles, and 7 green marbles will be red. To find this probability, we use the formula for conditional probability without replacement.

First, calculate the total number of marbles, which is 5 + 4 + 7 = 16 marbles. The probability of drawing a red marble first is 5 out of 16. Once a red marble is drawn, there are now 15 marbles left, and 4 of them are red. So, the probability of drawing a second red marble is 4 out of 15. Further, if a second red marble is drawn, there are now 14 marbles left, and 3 of them are red, making the probability of drawing a third red marble 3 out of 14.

The combined probability of all three events (drawing three red marbles in a row) happening is the product of their individual probabilities:

P(3 red marbles) = (5/16) * (4/15) * (3/14) = 60 / 3360 = 1/56

Therefore, the exact probability of drawing three red marbles in a row from the bag is 1 in 56.

Answer:175

Step-by-step explanation:

250-75 is 75 I believe this is correct

Answer:

Step-by-step explanation:

We

I had to give u a screenshot...here u go.

Answer:

462 to the nearest hundred is 500

So your answer is 500

Step-by-step explanation:

Mark as brainliest please

Answer:

500

Step-by-step explanation:

Answer: 7 glasses

Step-by-step explanation:

Hi, to answer this question, first, we have to subtract the amount of juice poured (1/8) to the amount of remaining juice before he poured some (1).

1-1/8 = 7/8 remaining juice

Since he pours the same amount into more glasses until the pitcher is empty, we have to divide the remaining juice (7/8) by the amount poured in each glass (1/8).

7/8 ÷ 1/8 = 7 glasses

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

Answer:

Team A-

Modes are alike numbers.

Team A had two 48s

Team B had two 32s

and Team C had three 45s

48 is the highest number

Step-by-step explanation:

i answerd it right on e d g e n u i t y

Answer:

Radius = 7cm

Diameter = 14cm

Step-by-step explanation:

Radius is a straight line that connects the center of a circle to a point on the circumference (outside of the circle).

Diameter is a straight line that goes through the center of a circle and connects two points on the circumference (outside of the circle).

The line shown goes across the entire circle, so it is the diameter

Diameter = 14 m

The radius of a circle is half the length of the diameter.

r = [tex]\frac{d}{2}[/tex]

r = [tex]\frac{14}{2}[/tex]

r = 7 cm

This is why the radius is 7cm, and the diameter is 14cm.

Hope this helped!

Answer:

A= 125$ B=134

Step-by-step explanation:

Answer:

Part 1) 12, 31, 9, 20, 36, 5, 22

Sort the data:

5, 9, 12, 20, 22, 31, 36

Median: 20

First Quartile: 9

Third Quartile: 31

IQR: 31 - 9 = 22

and

Part 2) 63, 68, 58, 77, 50, 49, 63, 73

Sort the data:

49, 50, 58, 63, 63, 68, 73, 77

Median: (63÷63)/2 = 63

First Quartile: (50+58)/2 = 54

Third Quartile: (68+73)/2 = 70.5

IQR: 70.5 - 54 = 16.5

x=3

Step-by-step explanation:

five time three is fifteen minus three is twelve.

x=3 is the solution to the equation 5x - 3 = 12.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

To solve for x in equation 5x - 3 = 12, we need to isolate x on one side of the equation.

First, we can add 3 to both sides of the equation:

5x - 3 + 3 = 12 + 3

Simplifying the left-hand side:

5x = 15

Next, we can divide both sides of the equation by 5:

5x/5 = 15/5

Simplifying the left-hand side:

x = 3

Therefore, the solution to the equation 5x - 3 = 12 is x = 3.

Learn more about algebraic Expression here:

https://brainly.com/question/953809

#SPJ7

Answer:

11

Step-by-step explanation:

-8 is 8 spaces away from 0 and 3 is 3 spaces away from zero so you add 8 and 3 and get 11.

Answer:Here

Step-by-step explanation:

Answer:

22.75

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

We need to fill in the circles; on the left, we need to put the number of students who play an instrument. That information is given: it's 25.

In the middle, we need the number of students who both play an instrument and speak a foreign language: again, we know that's 16.

On the right, we need the number of students who speak a foreign language; that's 30.

Finally, there are 9 students who participate in neither of these activities, so place "9" outside the circles but still in the rectangle.

See the attachment.

Probability is basically (# times specific event can occur) / (# times general event will occur). Here, the specific event is getting a student who plays an instrument and speaks a foreign language, which is 16. The general event is just selecting a student; since there are 80 total students, that number would be 80.

Our probability is thus:

16 / 80 = 1/5

Answer:

16/41

Step-by-step explanation:

Outside both: 9

Intersection (both): 16

0nly "Play instrument": 25

Only "Speak Foreign language": 30

Total: 80

P(Language/Instrument)

= n(both)/n(Instrument)

= 16/(25+16)

= 16/41

Answer:

140 inches

Step-by-step explanation:

The formula for volume or a rectangular prism is v=lwh

Length = 14

Width= 10

Height= 1

Multiplying them together gives you the volume which is 140

Answer:

Each member in the group that went to the candy store named  Sugar Shack

received a larger portion of a candy bar because each member in the group got  5/7 of a candy bar.

Step-by-step explanation:

Okay so first I am a visual learner so I drew a picture! I started with Sweet Dreams. I drew 4 candy bars and split each candy bar in 6 pieces. Each friend got 1/6 of each candy bar. This means if someone went to Sweet Dreams they got a total of 4/6 of a candy bar. Which is equivalent to  2/3. I then converted that into a decimal which is about .66 and then I went on to Sugar Shack. I then drew 5 candy bars split in 7ths. Each person got a seventh out of each candy bar. This means they got a total of 5/7. I then converted that into a decimal which is about .714. Since .71 is greater than .66 that means people at Sugar Shack got a larger portion. Hope this helps!!! Good luck on the assignment!

Each member in the group that went to the candy store named Sugar Shack received a larger portion of a candy bar because each member in the group got 0.71 of a candy bar.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given:

Two candy stores are offering free same-sized candy bars to groups of friends.

Both groups shared the candy bars equally among their members.

A group of six friends went to Sweet Dreams and received four candy bars to share.

That means,

the share of one member = 4/6 = 2/3 or 0.67

A group of seven friends went to Sugar Shack and received five candy bars to share.

That means,

the share of one member = 5/7 = 0.71.

Therefore, each member in the group got 0.71 of a candy bar.

To learn more about the fractions;

https://brainly.com/question/10354322

#SPJ2

Answer:

The next three terms of the sequence are 182.3, 273.5 and 410.3 respectively (all rounded to the nearest tenth value)

Step-by-step explanation:

A geometric sequence is one in which successive members are multiples of a constant common ratio.

From the sequence, we can identify that;

First term a = 36

common difference = 2nd term/first term = 3rd term/second term = 4th term/3rd term

Hence, common difference d = 54/36 = 81/54 = 1.5

The next three terms of the sequence are the 5th, 6th and 7th term respectively.

For the 5th term, we have 4th term × common ratio = 121.5 × 1.5 = 182.3

For the 6th term, we have 5th term × common ratio = 182.3 × 1.5 = 273.5

For the 7th term, we have 6th term × common ratio = 273.5 × 1.5 = 410.3

Answer: each movie costs $6.80, each game costs $29.7

Step-by-step explanation:

First to find the movie cost i divided 34/5, and it gave me an answer of 6.80, then i multiplied 6.80 by 2 because it said you bought 2 movies along with 2 video games, 6.80 times 2 is 13.6. afterwards i subtracted, 73-13.6, my answer was 59.4, later i divided that by 2, and each game is $29.7, and each movie is $6.80

Answer:

(i) 96

(ii) k = 13

Step-by-step explanation:

(i)

numbers averaged x Average of the numbers = Total of all of the numbers

8 x 12 = 96

(ii)

6 + 8 + 5 + 10 + 28 + 3k = 8 x 12

57 + 3k = 96

3k = 39

k = 13

Answer: it will cost 63

Step-by-step explanation:

Since 5 times 9 is 45, I’ve assumed that the tickets cost 9 dollars, hence 7 times 9 equals 63

Answer: The answer to this question is 1256.6

Answer:

1256.6

Step-by-step explanation:

Answer: $1500 was invested in the account earning 8%.

$3300 was invested in the account earning 12.5%.

$1850 was was invested in the account earning 7.5%.

Step-by-step explanation:

Let x represent the amount invested in the account earning 8%.

Let y represent the amount invested in the account earning 12.5%.

Let z represent the amount invested in the account earning 7.5%.

Penelope invested $6650 into theee investment accounts, earning 8%, 12.5%, and 7.5% simple interest per year. It means that

x + y + z = 6650- - - - - - - - - - -1

Interest earned from the $x investment is

8/100 × x = 0.08x

Interest earned from the $y investment is

12.5/100 × x = 0.125y

Interest earned from the $z investment is

7.5/100 × x = 0.075z

If the annual interest earned totaled $671.25, it means that

0.08x + 0.125y + 0.075z = 671.25- - - - - - - 2

The amount invested at 12.5% was $300 more than twice the amount invested at 8%. It means that

y = 2x + 300

Substituting y = 2x + 300 into equation 1 and equation 2, it becomes

x + 2x + 300 + z = 6650

3x + z = 6650 - 300

3x + z = 6350- - - - - - - - - 4

0.08x + 0.125(2x + 300) + 0.075z = 671.25

0.08x + 0.25x + 37.5 + 0.075z = 671.25

0.33x + 0.075z = 671.25 - 37.5

0.33x + 0.075z = 633.75- - - - - - - 5

From equation 4, z = 6350 - 3x

Substituting z = 6350 - 3x into equation 5, it becomes

0.33x + 0.075(6350 - 3x) = 633.75

0.33x + 476.25 - 0.225x = 633.75

0.33x - 0.225x = 633.75 - 476.25

0.105x = 157.5

x = 157.5/0.105

x = 1500

y = 2x + 300

y = 2(1500) + 300

y = 3300

Substituting x = 1500 and y = 3300 into equation 1, it becomes

1500 + 3300 + z = 6650

z = 6650 - 4800

z = 1850

Answer:

308.4miles

Step-by-step explanation:

Given that radius of earth= 4000miles

Change in latitude = 39° 8' 46" - 34° 43'41"

= 4° 25' 5"

= 4+25/60+5/3600

4+0.4166+0.00138

θ = 4.417°

Converting to radian = 4.417°×π÷180

= 4.417×0.0174

= 0.07710

Distance between the cities = rθ

S = 4000×0.07710

S= 308.4miles

Final answer:

The distance between Cincinnati, Ohio and Huntsville, Alabama is calculated by first converting their latitudes to radians, finding the difference, and then using the arc length formula on a sphere (assuming both cities are on the same longitude). The estimated distance is approximately 308 miles.

Explanation:

The question is asking to calculate the distance between Cincinnati, Ohio and Huntsville, Alabama, assuming the Earth is a sphere with a radius of 4000 miles and that both cities are on the same longitude. To calculate the distance, we first convert the latitudinal degrees to radians and then use the formula for arc length on a sphere, which is:

Arc Length = radius times (latitude1 - latitude2)

Firstly, convert the latitudes from degrees, minutes, and seconds to decimal degrees:

Then, convert the decimal degrees to radians:

Calculate the difference in latitude in radians:

Difference in latitude = 0.6832 rad - 0.6062 rad = 0.077 rad

Finally, use the arc length formula:

Arc length = 4000 miles times 0.077 rad = 308 miles

Therefore, the distance between Cincinnati, Ohio, and Huntsville, Alabama, is approximately 308 miles.

Answer:

3k -10

Step-by-step explanation:

8k - 6 -5k -4 = (8-5)k -(6+4) = 3k -10

The expression (8k - 6) - (5k + 4) is equivalent to the expression 3k - 10.

The equivalent is the expressions that are in different forms but are equal to the same value.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ (8k - 6) - (5k + 4)

Simplify the expression, then the value of the expression will be

⇒ (8k - 6) - (5k + 4)

⇒ 8k - 6 - 5k - 4

⇒ 3k - 10

Then the expression (8k - 6) - (5k + 4) is equivalent to the expression 3k - 10.

More about the equivalent link is given below.

https://brainly.com/question/889935

#SPJ2

Answer:

19.66 or 19.7 units

Step-by-step explanation:

[tex]sin \: 24 \degree = \frac{8}{x} \\ \\ 0.4067366431 = \frac{8}{x} \\ \\ x = \frac{8}{0.4067366431} \\ x = 19.6687467 \\ x \approx 19.7 \: units \\ [/tex]

Coordinate of P, after the sequence of transformation is

(-1.25, -1)

How to find the coordinate of P

To find the coordinate of P we first establish that P is in corresponding position with A

Coordinate of A is (-5, 4)

Dilation by 0.25 will result to (-5 * 0.25, 4 * 0.25) → (-1.25, 1)

Reflection over the x-axis is done as follows

(-1.25, 1) → (-1.25, -1)