The formula for converting Celsius (°C) to Fahrenheit (°F) is °F = (°C × 9/5) + 32. To convert 37 degrees Celsius to Fahrenheit, you must multiply 37 by 9/5 and then add 32.
The calculation is: 37°C × 9/5 = 66.6 and 66.6 + 32 = 98.6°FTherefore, 37 degrees Celsius is equal to 98.6 degrees Fahrenheit.The formula for converting Celsius (°C) to Fahrenheit (°F) is °F = (°C × 9/5) + 32. To convert 37 degrees Celsius to Fahrenheit, you must multiply 37 by 9/5 and then add 32. To convert Celsius to Fahrenheit, the formula is simple and easy to remember. Multiply the Celsius temperature by 9/5, then add 32. This formula is useful for many applications, such as measuring air and water temperature, cooking and baking, and more. Knowing how to convert from Celsius to Fahrenheit is important for many everyday tasks.
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what is 4x + y= 108 y=x+2
Answer:
The solution to this problem is x = 26 over 11 , y = 6 over 11.
Step-by-step explanation:
Hope this helped!
A sensor on a boat notices buried treasure 200 meters away diagonally with an angle of depression of 25 degrees. How deep is the treasure beneath the water rounded to the nearest tenth of a meter?
Answer: To solve this problem, we can use the Pythagorean theorem. Let's call the depth of the treasure "d".
We can create a right triangle with the following sides:
The sensor on the boat is at the top of the triangle and is 200 meters away from the treasure diagonally.
The line from the sensor to the treasure, which we can call "x", is at a 25-degree angle from the surface of the water.
The line from the treasure to the ocean floor, which we can call "d", is perpendicular to the surface of the water.
Since we know that the angle of depression is 25 degrees, we can use tangent to find the length of x.
tan(25) = x/d
x = d * tan(25)
Now, we have two sides of a right triangle and can use the Pythagorean theorem to find d:
x^2 + d^2 = 200^2
d^2 = 200^2 - x^2
d^2 = 200^2 - (d * tan(25))^2
Solving for d, we find that d = 174.59 meters. Rounding to the nearest tenth of a meter, we get d = 174.6 meters.
Step-by-step explanation:
Ennis wants to make a border for a triangular-shaped vegetable garden. He has 4 pieces of wood that measure 8 inches, 10 inches, 12 inches, and 18 inches. How many different triangular borders can ennis make?.
After considering all the combinations of three pieces of wood, we can conclude that Ennis can make 2 different triangular borders for his vegetable garden.
A triangle is a shape with three sides, and each side can be considered as a side length. In order to form a triangle, the sum of the lengths of the two shorter sides must be greater than the length of the longest side.
To find the number of different triangular borders that Ennis can make, we need to consider all the combinations of three pieces of wood as the sides of the triangle. There are four pieces of wood, so the number of combinations of three pieces is 4 choose 3, which is 4.
Now, we need to determine if each combination of three pieces of wood forms a triangle. If the sum of the lengths of the two shorter sides is greater than the length of the longest side, it forms a triangle. If not, it does not form a triangle.
If Ennis uses the 8-inch and 10-inch pieces as two sides, he can use the 12-inch or 18-inch piece as the third side, and it forms a triangle.
If he uses the 8-inch and 12-inch pieces as two sides, he can only use the 10-inch piece as the third side, and it forms a triangle. If he uses the 8-inch and 18-inch pieces as two sides, it does not form a triangle.
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The average distance travelled per day for each team is 145 km.
A team of Alaskan huskies travels at 15 km per hour, with an 18 minute rest after every 3 hours.
A team of Siberian huskies runs more quickly at 20 km per hour, but requires a 30 minute rest after every two hours.
How long, in simplified hours and minutes, will it take for each team to run the daily average of 145 km?
Answer:
Alaskan huskies take 10h 34min.
Siberian huskies take 8h 45min.
Step-by-step explanation:
Alaskan huskies : 15km/h + 18min rest after 3h
18/3= 6min rest/h
1h= 60min
60/15= 4min/km
4*145= 580min
= 9h 40min
There is three 3h in 9h 40min.
3*18= 54min
9h 40min+54min= 10h 34min
Siberian huskies : 20km/h + 30min rest after 2h
30/2= 15min rest/h
60/20= 3min/km
3*145=435min
= 7h 15min
There is three 2h in 7h 15min.
3*30= 90min
= 1h 30min
7h 15min+1h 30min= 8h 45min
find the unit tangent vector T and the curvature k for the following parameterized curver(t) = <9 cos t, 9 sin t, sqrt(3) t>
The unit tangent vector T and the curvature k is √2/3
Unit Tangent Vector and Curvature are two important concepts in vector calculus that are used to describe the behavior of curves in space.
To find the Unit Tangent Vector, we must first find the derivative of the curve. The curve is defined as (t) = <9 cos t, 9 sin t, √(3) t>, so taking the derivative with respect to t, we get:
d(t) / dt = < -9 sin t, 9 cos t, √(3) >
Next, we want to normalize this vector to get the Unit Tangent Vector, T. To do this, we divide the vector by its magnitude, which is given by:
=> √((-9 sin t)² + (9 cos t)² + (√(3))²)
=> √(81 + 81 + 3) = 9 √(3)
So, the Unit Tangent Vector is given by:
T = d(t) / dt / |d(t) / dt|
T = < -9 sin t / 9 √(3), 9 cos t / 9 √(3), √(3) / 9 √(3) >
T = < -sin t / √(3), cos t / √(3), 1 / 3 √(3) >
To find the Curvature, we use the formula:
k = |dT / dt|
where T is the Unit Tangent Vector and dT / dt is the derivative of the Unit Tangent Vector. To find dT / dt, we take the derivative of T with respect to t:
dT / dt = < cos t / √(3), -sin t / √(3), 0 >
Finally, the magnitude of dT / dt gives us the Curvature:
=> √((cos t / √(3))² + (-sin t / √(3))² + (0)²)
=> √(1 / 3 + 1 / 3) = √(2 / 3) / √(3)
So, the Curvature is given by:
k = √(2 / 3) / √(3)
k = √2 / 3
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X, Y, Z Axis. What do they stand for?
The X, Y, and Z axes define a three-dimensional coordinate system, which is commonly used to represent physical objects or mathematical functions in space.
The X, Y, and Z axes are terms commonly used in mathematics, physics, engineering, and computer graphics to refer to the three dimensions in a three-dimensional coordinate system.
The X-axis is the horizontal axis and is used to represent values along the horizontal plane. It is often called the "abscissa" and is typically drawn as a horizontal line that intersects with the Y-axis at the point where they meet, which is called the origin.
The Y-axis is the vertical axis and is used to represent values along the vertical plane. It is often called the "ordinate" and is typically drawn as a vertical line that intersects with the X-axis at the origin
.The Z-axis is the third axis and is used to represent values along the depth or height plane. It is often called the "applicate" and is typically drawn as a line that is perpendicular to both the X and Y axes, intersecting with both at the origin.
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I need help with problem
Answer:
Below
Step-by-step explanation:
Since all of the lines are parallel and cut by a transversal .... the
corresponding angles are equal
8x - 11 = 7x +8
x = 19
Of the three important sources of resistance, which ones remain relatively constant?1.Blood viscosity 2.Blood vessel length
The blood viscosity and vessel length remain relatively constant, the regulation of vessel radius becomes the primary mechanism for controlling resistance in the body.
Blood viscosity refers to the thickness or stickiness of blood, which is determined by the number and size of red blood cells, as well as the concentration of proteins and other substances in the plasma.
Blood viscosity affects resistance because the thicker the blood, the more difficult it is for it to flow through the blood vessels.
Blood vessel length refers to the distance that blood has to travel through the vessels, which affects resistance because the longer the vessel, the more difficult it is for blood to flow through it.
However, vessel length remains relatively constant in the body because it is determined by the body's anatomy and does not change significantly over time. Therefore, the only time when vessel length can change is during a surgical procedure or injury that alters the anatomy of blood vessels.
Mathematically, the resistance to blood flow (R) can be calculated using the formula R = (8 x viscosity x length) / (π x radius⁴).
This formula shows that blood viscosity and vessel length are directly proportional to resistance, while vessel radius is inversely proportional.
Therefore, any increase in blood viscosity or vessel length will increase resistance, while any decrease in vessel radius will increase resistance.
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27. Table 2 show rates of tax on salary per month for certain country. Table 2. Salary per month Tax rate First K9000.00 % (tax free) Next K10000.00 15% Next K12000.00 25% Next K15000.00 35% If a worker earns K30000.00 per month, calculate the worker's monthly tax. 25%
The amount of the worker monthly tax will equals to K4,850.
What are worker income tax?An income tax refers to the tax imposed on individuals or entities in respect of the income earned by them. It is computed as the product of a tax rate times the taxable income. They may vary by type or characteristics of the taxpayer and the type of income
To calculate the worker's monthly tax, we need to determine the amount of salary that falls into each tax bracket and then calculate the tax owed for each bracket:
For a monthly salary of K30,000, the first K9,000 is tax-free, leaving K21,000 to be taxed. Of this K21,000, the first K10,000 is taxed at 15%, which gives a tax of K1,500. The next K12,000 is taxed at 25%, which gives a tax of K3,000.Finally, the remaining K-1,000 is taxed at 35%, which gives a tax of K350.The worker's monthly tax is then computed as:
= K1,500 + K3,000 + K350
= K4,850.
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16÷8
Like as an equivalent multiplication expression
Answer: 16*(1/8)
Step-by-step explanation:
Part E
If you’re a frequent flyer who travels to many different airports, and you have the choice between SkyWest Airlines (OO) and Southwest Airlines (WN) for all your flights, which carrier should you choose if your primary concern is arriving on time?
Answer:
Щоб визначити, яка авіакомпанія має кращий досвід прибуття вчасно, ми можемо переглянути їхню статистику ефективності вчасності. Згідно з даними Міністерства транспорту США, у 2020 році показник своєчасних прильотів у SkyWest Airlines становив 85,8%, а у Southwest Airlines – 83,5%. Це означає, що у 2020 році SkyWest Airlines мала кращий досвід прибуття вчасно, ніж Southwest Airlines.
Однак варто зазначити, що своєчасна продуктивність може змінюватися залежно від низки факторів, включаючи погоду, управління повітряним рухом і проблеми з обслуговуванням. Також важливо врахувати інші фактори, які можуть бути для вас важливими, наприклад вартість авіаквитків, наявність рейсів у бажані пункти призначення та якість обслуговування під час польоту. Таким чином, незважаючи на те, що оперативність є важливим фактором, який слід враховувати при виборі авіакомпанії, це може бути не єдиним фактором, який вам слід враховувати.
Step-by-step explanation:
Jimmy is an accountant who also works part-time as a museum tour guide. Information from his tax worksheet is wages from accounting job, $75,937.84; wages from museum job, $14,937.92; interest, $839.40; and dividends, $123.45. What is Jimmy’s total income?
Jimmy’s total income is $91838.61
How to determine Jimmy's income?You should understand that total income' refers to the sum of certain incomes (in cash and, in some circumstances, in kind) of the statistical unit during a specified reference period
The given parameters that will help us to determine the income are
wages from accounting job, $75,937.84;
interest, $839.40
wages from museum job, $14,937.92;
dividends, $123.45.
Therefore Jimmy's total income is the sum of all the incomes
$(75,937.84 + 839.40 + 14,937.92 + 123.45)
Total income = $91838.61
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How do I work this, don’t feel rushed I have until morning!
Step-by-step explanation:
Perimeter of a Semicircle
[tex](\pi )(r) + 2r[/tex]
R = 0.6 since that's half the diameter
[tex](3.14)(0.6) + (2)(0.6)[/tex]
[tex]1.884 + 1.2 = 3.084[/tex]
Which rounds to 3.1
If g(x) = x², what is the value of g(a + 2)?
Answer:
[tex](a+2)^2[/tex]
Step-by-step explanation:
Substitute [tex]x=a+2[/tex] into [tex]g(x)[/tex].
The net of a square pyramid and its dimensions are shown in the diagram. 1 276 2 1 12 ft 10 ft 7 8 ft What is the total surface area of the pyramid in square feet?
The surface area of the given pyramid is 336 square feet. the correct answer would be an option (F) 336 ft².
What is the total surface area of the pyramid?A square pyramid's total surface area is the total area covered by its four triangular sides and square base. The formula may be used to calculate the total surface area of a square pyramid with slant height.
The surface area of a square pyramid = a² + 2al
The figure of the square pyramid is given in the question, as shown
The surface area of the pyramid = a² + 2al
Here a = 12 ft and l = 8 ft
Substitute the values of a = 12 ft and l = 8 ft in the formula,
The surface area of the pyramid = 12² + 2 × 12 × 8
The surface area of the pyramid = 336 square feet
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The question seems incomplete, the correct question would be as:
a negative divided by a positive become?
When a negative number is divided by a positive number, the result is always negative.
Let's use the example (-6) / 2 again. We can write this expression as:
(-6) / 2 = (-1) * 6 / 2
We can then simplify the expression on the right-hand side by multiplying -1 and 6, which gives us:
(-1) * 6 / 2 = -6 / 2
Now, we can divide 6 by 2, which gives us:
-6 / 2 = -3
So we see that the quotient is negative.
We can generalize this to any negative number divided by a positive number. Let's say we have a negative number -a and a positive number b. We can write the expression as:
(-a) / b = (-1) * a / b
Multiplying -1 and a gives us:
(-1) * a / b = -a / b
So we see that the quotient is negative, since -1 times a is negative, and dividing a negative number by a positive number results in a negative quotient.
Therefore, we can conclude that when a negative number is divided by a positive number, the result is always negative.
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4^3/4^6 times 4^17 as an exponent
The value of the exponent is 4¹⁴
What area index forms?Index forms are defined as mathematical models of writing numbers that are large or small in more convenient forms.
The other names are scientific notations and standard forms.
The rules of index forms;
Add the exponents of forms with the same bases and multiplying one anotherSubtract the exponents of forms with same bases and dividing each other.From the information given, we have;
4^3/4^6 times 4^17
subtract the bases
4 ³⁻⁶ ⁺¹⁷
Add the values
4¹⁴
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A cylinder has a volume of 1 and one third in3 and a radius of one third in. What is the height of a cylinder? Approximate using pi equals 22 over 7.
42 over 6 inches
42 over 9 inches
42 over 11 inches
42 over 22 inches
Answer:
42/11!
Step-by-step explanation:
So first, you need to make sure you have the formula which is V= Base X height. The base is the area of 1 circle, so you multiply the radius X radius X PI.
1/3 x 1/3 is 1/9. 22/7 is used as pi so multiply 1/9 by 22/7 and you get 22/63. Now you divide that by 4/3. When dividing fraction, you keep the first decimal (4/3) the same, turn the division symbol into a multiplication one, and flip the last fraction (so 22/63 is now 63/22!).
Now you just solve 4/3 x 63/22, which will give you 252/66. Now simplify that by dividing both numbers by 3 until you get the smallest answer, which is 42/11!
The height of the cylinder is approximately 42/11 inches. The answer is option C.
Here, we have,
we know that,
The formula for the volume of a cylinder is V = πr²h,
where V is the volume, r is the radius, and h is the height.
We are given that the volume of the cylinder is 1 and one-third in^3 and the radius is one-third in. Substituting these values into the formula, we get:
1 and one-third = 4/3
V = π(1/3)²h = 4/3
Simplifying the equation, we get:
h = (4/3) / (π(1/3)²)
= (4/3) / (π/9)
= (4/3) * (9/π)
= 12/π
Approximating π as 22/7, we get:
h ≈ (12/π)
≈ (12/(22/7))
= 42/11 inches
Therefore, the height of the cylinder is approximately 42/11 inches. The answer is option C.
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Hi can someone help please this is due tomorrow
a. Two out of every 3 seniors at Lewis High apply for college, so the number of seniors who apply for college is 2/3 (or approximately 0.67) times the total number of seniors at Lewis High.
How to calculate the valuesb. The number of seniors who apply for college is one-third (or approximately 0.33) less than the number of seniors who don't apply.
c. One-third (or approximately 0.33) of the graduating seniors at Lewis High do not apply to college.
d. Three out of every 5 seniors who apply for college are female students, so two out of every 5 seniors who apply for college are male students. Therefore, the fraction of seniors who are males who apply for college is 2/5 (or approximately 0.4).
The number of males who apply for college is 2/3 of the total number of seniors who apply for college, which is (2/3) * (2/5) = 4/15 (or approximately 0.27) times the total number of graduating seniors at Lewis High.
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Leo Gandolfi takes out a short-term loan of $1,800 at 12 percent
for 6 months. The monthly payment is $310.50. The balance of the loan after 4 payments is
$612.34. How much does he save by paying off the loan when the next payment is due?
A $6.12
R2 $18.00
C
2,353
SCIO
In a linear equation, 9.14 does he save by paying off the loan when the next payment is due .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Jan 293 18 311 1,507 16.25%
Feb 296 15 311 1,212 32.67%
Mar 298 12 311 913 49.25%
Apr 301 9 311 612 66.00%
May 304 6 311 308 82.92%
Jun 308 3 311 0 100.00%
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Noah would like to cover a rectangular tray with rectangular tiles. The tray has a width of 2 1/2 and an area of 4 3/4. What is the length of the tray?
The length of the rectangular tray is 1 9/10
What is a Rectangle?
Rectangle is a four-sided flat shape where every angle is a right angle (90°).
Area of a Rectangle = Length * Width
where,
Area = 4 3/4
Length = ?
Width = 2 1/2
To find the length of the tray,
Length = Area/Width
Length = 4 (3/4) / (2 1/2)
Length = (19/4) / (5/2)
Length = 19/4 * 2/5
Length = 19/10
Length = 1 9/10
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what is errors in calculations?
Errors in calculations are mistakes or inaccuracies that occur when performing mathematical calculations. They can be caused by a variety of factors, including human error, equipment malfunction, incorrect assumptions or data, and flawed methodology.
There are several types of errors that can occur in calculations, including:
Transcription errors: These occur when a number or a calculation is copied down incorrectly from one place to another, such as from a calculator to a piece of paper.
Calculation errors: These occur when the wrong calculation is used, or when a mistake is made in performing a calculation, such as forgetting to carry a digit when doing long division.
Rounding errors: These occur when numbers are rounded to a certain number of decimal places, and the resulting calculation is not as precise as it could be.
Measurement errors: These occur when the instruments used to measure quantities are not accurate, or when the measurements are not taken correctly.
Conceptual errors: These occur when the underlying concepts or principles of the problem are not fully understood, leading to incorrect calculations.
It is important to identify and correct errors in calculations to ensure the accuracy and validity of the results. Checking calculations multiple times and using multiple methods of verification can help to reduce the risk of errors.
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True or False? These figures are similar
True. Because they have comparable angles, the offered figures are comparable figures.
What are similar figures?Similar figures are described as two shapes that share the same shape but differ in size. For instance, similar objects are depicted but are not consistent in different-sized images of a person, such as passport size, stamp size, etc. In geometry, two comparable shapes with different side lengths or sizes are those whose dimensions are equal or have a common ratio. Examples of these shapes are similar triangles, similar rectangles, and similar squares. Scale factor is the name given to the common ratio. The matching angles are also of equal measure.
If two figures are similar, then they are represented by the symbol ‘∼’. Let us say there are two triangles, ABC and PQR, which are similar, then they are represented as;
∆ABC ~ ∆ PQR
Now if the two triangles are similar to each then their corresponding sides should be in proportion. Hence,
AB/PQ = BC/QR = AC/PR
∠A = ∠P, ∠B = ∠Q, ∠C = ∠R
Since, we can see that the angles in both the given figures are exactly the same. Thus, the given figures are similar figures.
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I hate these kind of questions. I forgot how to do it :)
The length of the right triangle x is 2√5 units.
How to find the side of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, the sides of the right triangle can be found using Pythagoras's theorem,
Hence,
c² = a² + b²
where
a and b are the legsc = hypotenuse sideTherefore,
x² = 6² - 4²
x² = 36 - 16
x² = 20
square root both sides
x = √20
x = 2√5
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please help out with geometry answers
The area of the left over wood is
28.54 square cmArea of the kite
786.72 square cmperimeter of the kite
81.94 cmHow to find the area of the left over woodThe area of the left over wood is given by
= area of the circle - area of the pentagon
area of the circle
= pi * r^2
= pi * 5^2
= 78.54 square cm
area of the pentagon
= 5/2 * a * 5
solving for a
360 / 5 = 72
72 / 2 = 36
cos 36 = a / 5
a = 5 cos 36 = 4
area of the pentagon = 5/2 * 4 * 5 = 50 sq cm
left over wood = 78.54 - 50 = 28.54 square cm
Area and perimeter of kite
area of kite = product of the two diagonals
length of one of the diagonals = 2 * KT = 2 * 12 = 24 cm.
The second diagonal
tan 30 = KT / x
x = 12 / tan30 = 20.78
the length = 12 + 20.78 = 32.78
area of the kite = 32.78 * 24 = 786.72 square cm
perimeter of the kite
= addition of the sides = 2(shorter side + longer side)
Using Pythagoras rule
shorter side = √(12² + 12²) = 16.97
longer side = √(20.78² + 12²) = 24
perimeter = 2 (16.97 + 24) = 81.94 cm
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Please help! I will mark you "brainliest" if you write an answer.
The correct statement regarding the solution to the system of equations is given as follows:
b. (1,2) is a solution to both the lines A and B.
How to obtain the solution to the system of equations?We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.
This point of intersection is a solution to both of the equations, hence it is the solution to the system of equations.
The coordinates of the point of intersection in this problem are given as follows:
(1,2).
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Solve the system of equations using the substitution method. y = 7x – 16, y = 2(2x – 5) What is the solution?
Answer:Y = 7x – 16,
y = 2(2x – 5)
Step-by-step explanation:
he answer to the system of equations is (2,-2)
First, we can substitute in for y in the other equation
This will give us
Next, we distribute the 2 throughout the parenthesis
Now we can solve for x. Begin by adding 16 to each side
Now we can subtract 4x from each side
Lastly, we can divide each side by 3
Now, we need to substitute in the value that we got for x into one of the equations to find the y value.
This becomes
So
This means that the solution to the system of equations is (2,-2)
A spinner is divided into six equal parts numbered 1, 2, 3, 4, 5, and 6. In a repeated experiment, Ryan spun the spinner twice. The theoretical probability of both spins being odd numbers is 9 over 36.
If the experiment is repeated 140 times, predict the number of times both spins will be odd numbers.
140
70
36
35
So, based on the theoretical likelihood, we anticipate that 35 times out of 140 repeats, both spins will be odd numbers.
What is probability?Probability is a branch of mathematics that deals with the study of random events and the likelihood of their occurrence. Probability is expressed as a number between 0 and 1, with 0 indicating that an event is impossible to occur and 1 indicating that an event is certain to occur. The probability of an event A, denoted by P(A), is calculated as the number of favorable outcomes for the event divided by the total number of possible outcomes. For example, if a fair six-sided die is rolled, the probability of rolling a 3 is 1/6 because there is only one favorable outcome (rolling a 3) out of the total 6 possible outcomes. Probabilities can be used to make predictions about the likelihood of future events and to make decisions under uncertainty. Probabilities can also be used to describe the distribution of random variables and to quantify the relationship between different events. Probability theory is widely used in many fields, such as statistics, engineering, finance, physics, and biology, among others.
Here,
The theoretical probability of both spins being odd numbers is 9 over 36, which means that for every 36 times the experiment is repeated, we expect 9 of those times to result in both spins being odd numbers.
If the experiment is repeated 140 times, we can use the theoretical probability to estimate the number of times both spins will be odd numbers as follows:
140 * (9/36) = 35
So, based on the theoretical probability, we predict that both spins will be odd numbers 35 times out of 140 repetitions.
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In the figure below, points E, G, A, B, and C lie in plane X.
Points D and F do not lie in plane X.
For each part below, fill in the blanks to write a true statement.
Following are the given complete statements:
(a) Another name for plane X is plane EABC.
(b) F, D, and C are distinct points that are collinear.
(c) A, B, C and G are distinct points that are coplanar.
What is plane ?A plane is a flat, two-dimensional surface that extends infinitely in all directions. It is a mathematical concept used in geometry and is often represented as a flat sheet or a graph on a coordinate system. In the real world, a plane can be thought of as a flat surface such as a tabletop, a piece of paper or a wall.
According to the given information :(a) Another name for plane X is plane EABC.
(b) F, D, and C are distinct points that are collinear.
(c) A, B, C and G are distinct points that are coplanar.
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Find the value of sin S rounded to the nearest hundredth, if necessary.
Answer:
Step-by-step explanation:
sin angle S = [tex]\frac{opposite}{hypotenuse}[/tex]
sin S = [tex]\frac{30}{hypotenuse}[/tex]
To complete the ratio we need to find the hypotenuse:
a² + b² = c²
16² + 30² = c²
256 + 900 = c²
1156 = c²
√1156 = √c²
34 = c
Now substitute 34 in the sin ratio:
[tex]\frac{30}{34}[/tex] = .8824
nearest hundredth = .88