A falcon is flying at a speed of 107,360 yards per
hour. How fast is the falcon flying in miles per
hour? (Hint: A mile is equal to 1760 yards.)
Help
Answers
We can set up the following equation to represent the conversion:
(107,360 yards/hour) / (1760 yards/mile) = X miles/hour
where X is the speed of the falcon in miles per hour.
We can then solve the equation by multiplying both sides by the reciprocal of the conversion factor:
(107,360 yards/hour) / (1760 yards/mile) * (1 mile/1760 yards) = X miles/hour * (1 mile/1760 yards)
Simplifying the right-hand side gives us:
(107,360 yards/hour) * (1 mile/1760 yards) = X miles/hour
Substituting the values and canceling common factors gives us:
(107,360 / 1760) miles/hour = 61.4 miles/hour
Therefore, the falcon is flying at a speed of 61.4 miles per hour.
Related Questions
Question: What price should the restaurant sell the large square pizza (12 inch side) for, so that both pizzas cost the same amount per square inch?
Answers
According to the question the height of Ruben’s school is 360 inches.
What is school?School is a place where students can learn and grow in their knowledge. It is a place where students can gain an education and become well-rounded individuals. School is a place where people can make friends, learn from each other, and explore new ideas and topics. School is a place where teachers and staff provide guidance to help students succeed in their academics and extracurricular activities.
To find the height of Ruben’s school using similar triangles and a mirror, we can use the following formula:
height of school / height of Ruben = distance from mirror to school / distance from mirror to Ruben
Plugging in the given values, we get:
height of school / 72 = 425 / 85
Cross-multiplying and solving for height of school, we get:
height of school = 72 x 425 / 85
height of school = 360 inches
Therefore, the height of Ruben’s school is 360 inches.
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PLEASE WHAT IS THIS?!!? WHATS THE ANSWER?
Answers
Answer: bottom right
GeometryFind the area of the of the following shape. Show all work.
Answers
Solution:
The area of the shape is the sum of the areas of the triangles ABE and BCD as shown below:
\(\text{Area of shape = area of triangle ABE + area of triangle BCD}\)Area of triangle ABE:
\(\begin{gathered} \text{Area}_{\text{ABE}}=\frac{1}{2}\times\text{base}\times\text{height} \\ =\frac{1}{2}\times AE\times BE \end{gathered}\)To evalutae the area of triangle ABE, we need the dimensions of the triangle ABE.
AE: To evaluate AE, we determine the distance between the points A and E.
Where the respective coordinates of A and E are (-4,0) and (0,0).
The distance between any two points is expressed as
\(\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \text{where} \\ (x_1,y_1)\text{ and }(x_2,y_2)\text{ are the endpoints of the line} \end{gathered}\)Thus, the distance AE is evaluated as
\(\begin{gathered} AE=\sqrt[]{(0_{}-(-4)_{})^2+(0-0)^2} \\ \Rightarrow\sqrt[]{16} \\ \therefore AE=4\text{ units} \end{gathered}\)similarly, BE has endpoints B and E whose respective coordinates are (0,4) and (0,0).
Thus,
\(\begin{gathered} BE=\sqrt[]{(0_{}-0_{})^2+(0-4)^2} \\ \Rightarrow\sqrt[]{16} \\ \therefore BE=4\text{ units} \end{gathered}\)Hence, the area of the triangle ABE becomes
\(\begin{gathered} =\frac{1}{2}\times AE\times BE \\ \Rightarrow\frac{1}{2}\times4\text{ units}\times4\text{ units} \\ \therefore\text{Area}_{\text{ABE}}=\text{ 8 square units} \end{gathered}\)Area of triangle BCD:
\(\begin{gathered} \text{Area}_{\text{BCD}}=\frac{1}{2}\times\text{base}\times\text{height} \\ \Rightarrow\frac{1}{2}\times DC\times BD \end{gathered}\)DC has endpoints at D and C whose respective coordinates are (0,2) and (2,2).
Thus,
\(\begin{gathered} DC=\sqrt[]{(2-0)^2+(2-2)^2} \\ =\sqrt[]{4} \\ \Rightarrow DC\text{ = 2 units} \end{gathered}\)BD has endpoints at B and D whose respective coordinates are (0,4) and (0,2).
Thus,
\(\begin{gathered} BD=\sqrt[]{(0-0)^2+(2-4)^2} \\ =\sqrt[]{4} \\ \Rightarrow BD=\text{ 2 units} \end{gathered}\)Hence, area of the triangle BCD becomes
\(\begin{gathered} \text{Area}_{\text{BCD}}=\frac{1}{2}\times DC\times BD \\ =\frac{1}{2}\times2\text{ units}\times2\text{ units} \\ \Rightarrow\text{Area}_{\text{BCD}}=\text{ 2 square units} \end{gathered}\)Recall that:
\(\text{Area of shape = area of triangle ABE + area of triangle BCD}\)Thus,
.
Solve the system.
2x + y + 3z = 20
X + 2y - z = -11
3x - 2z = -3
Enter your answer as an ordered triple.
Answers
The solution to the system, as an ordered triple is: (3, -4, 6).
How to Solve a System of Equations?To solve the following given system of equations:
2x + y + 3z = 20 --> eqn. 1
x + 2y - z = -11 --> eqn. 2
3x - 2z = -3 --> eqn. 3
Multiply equation 1 by 2 to get eqn. 4:
4x + 2y + 6z = 40 --> eqn. 4
Subtract eqn. 4 from eqn. 2:
x + 2y - z = -11 --> eqn. 2
4x + 2y + 6z = 40 --> eqn. 4
-3x - 7z = -51 --> eqn. 5
Add equations 3 and 5 together:
3x - 2z = -3 --> eqn. 3
-3x - 7z = -51 --> eqn. 5
-9z = -54
z = -54/-9
z = 6
Substitute the value of z into equation 5:
-3x - 7(6) = -51 --> eqn. 5
-3x - 42 = -51
-3x = -51 + 42
-3x = -9
-3x/-3 = -9/-3
x = 3
Find the value of y by substituting the values of x and z into equation 1:
2(3) + y + 3(6) = 20 --> eqn. 1
6 + y + 18 = 20
24 + y = 20
y = 20 - 24
y = -4
The solution as an ordered triple is: (3, -4, 6).
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3/41 members of a cricket club are left handed. Give the ratio of right-handed club members to left-handed club members.
Answers
The ratio of right-handed club members to left-handed club members is approximately 12.67 : 1.
What is Algebraic expression?
Algebraic expression can be defined as combination of variables and constants.
If \(\frac{3}{41}\) members of a cricket club are left-handed, then the remaining members must be right-handed. We can find the number of right-handed members by subtracting the number of left-handed members from the total number of members in the club:
Number of right-handed members = Total number of members - Number of left-handed members
Since the left-handed members make up \(\frac{3}{41}\) of the club, the right-handed members must make up the remaining \(\frac{38}{41}\) of the club. Therefore, the ratio of right-handed members to left-handed members is:
Right-handed members : Left-handed members
38 : 3
Alternatively, we can simplify the ratio by dividing both sides by 3:
Right-handed members : Left-handed members
\(\frac{38}{3}\) : 1
Simplifying the left-hand side of the ratio, we get:
Right-handed members : Left-handed members
12.67 : 1
Therefore, the ratio of right-handed club members to left-handed club members is approximately 12.67 : 1.
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It is not possible to divide 5 by 0 because there is no number you can___ by 0 and get 5 .
Answers
Answer:
multiply
Step-by-step explanation:
Answer:
Yes, it's not possible to divide a number by 0.
You are preparing an IV order for a hypokalemic patient and they require VDA added to their IV minibag. You need the 10mg/2mL stock solution. Which of the following do you use if it is available as 0.5%, 1:10, 1:5, and 5%?
Answers
The option that should be used for the IV order for the hypokalemic patient would be A. 0. 5 %.
Which VDA should be added ?The concentration of the stock solution signifies the proportion of potassium chloride within the total volume or quantity of the solution. 0.5% concentration implies that 0.5 grams of potassium chloride is present within 100 mL of the solution.
The 0. 5 % solution is already the correct concentration and can be added directly to the IV minibag. Selecting the appropriate concentration necessitates careful consideration of the desired potassium chloride dose for the patient and the desired volume to be incorporated into the IV minibag.
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write 2(3x+5)+4(2x-1) in the form of a(bx+c)
Answers
The equivalent expression of 2(3x+5)+4(2x-1) is 2(7x + 3)
How to rewrite the expression?The expression is given as:
2(3x+5)+4(2x-1)
Open the brackets
6x + 10 + 8x - 4
Evaluate the like terms
14x + 6
Factor out 2
2(7x + 3)
Hence, the equivalent expression of 2(3x+5)+4(2x-1) is 2(7x + 3)
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Luzia ran the 400-meter race 3 times. Her fastest time was 52.3 seconds. Her slowest time was 56.3 seconds. If Luzia’s average time was 54.0 seconds, what was her time for the third race?
Answers
Answer: 53.5 seconds
Step-by-step explanation:
Aiden invested $43,000 in an account paying an interest rate of 9\tfrac{3}{4}9
4
3
% compounded continuously. Levi invested $43,000 in an account paying an interest rate of 9\tfrac{5}{8}9
8
5
% compounded monthly. After 13 years, how much more money would Aiden have in his account than Levi, to the nearest dollar?
Answers
Answer:
all your numbers are mixed up, can you fix your question?
Bridget Riley was just one of many artists associated with the 1960's 'Op Art' Movement. True or false
Answers
Answer:
True
Explanation:
Bridget Riley was one of the most prominent artists associated with the 1960s 'Op Art' movement, which was an art movement that explored optical illusions and effects to create abstract art that played with the viewer's perception. However, there were many other artists associated with this movement, including Victor Vasarely, Richard Anuszkiewicz, and Yaacov Agam, among others.
What property does the following expression demonstrate? 9(3x) = (9x3)x
Answers
Answer: x=0,\root(3)(3)
Step-by-step explanation: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Brainliest or a thank you please? :))
9514 1404 393
Answer:
associative property of multiplication
Step-by-step explanation:
We assume your equation is ...
9(3x) = (9·3)x
The parentheses have moved to a different portion of the product. This is allowed by the associative property of multiplication. It lets you associate parts of the product any way you like.
_____
Additional comment
It is not a good idea to use "x" to indicate multiplication in an expression in which "x" is a variable. There are many other ways to indicate multiplication, including using the "times" symbol (×).
Type the correct answer in each box.
Day Amount
1
$26
2
$23
3
$31
4
$26
5
534
The table shows the amount Bill spent on 5 days last week.
The mean of the amount he spent is $
The mean absolute deviation is $
Reset
Next
Answers
The mean absolute deviation is $106.6.
Given the table shows the amount Bill spent on 5 days last week.
DayAmount12622313126534To find the mean of the amount he spent: The formula for calculating the mean of a given set of values is mean=∑x/n where x represents the values, n represents the number of values, and ∑x represents the sum of the values.
Mean=total sum of values/total number of values Mean=(26+23+31+26+534)/5Mean=640/5Mean=128So,
the mean of the amount he spent is $128.To find the mean absolute deviation: The mean absolute deviation (MAD) is the average distance between each data value and the mean. MAD shows how much the data set deviates from the mean. The formula for calculating the MAD is MAD=∑|xi−m|/n where xi represents the values, m represents the mean, and n represents the number of values. So, the calculation for each day is:
Day Amount Absolute deviation from mean1 26 |128-26|=102 23 |128-23|=105 31 |128-31|=974 26 |128-26|=102 534 |128-534|=406
The sum of all absolute deviations is:
10+10+97+10+406=533The mean absolute deviation (MAD) is: MAD=533/5=106.6So.
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Solve the triangle. Round to the nearest tenth.
Find c aswell
Answers
Answer:
Set your calculator to Degree mode.
a² = 17² + 20² - 2(20)(17)cos(89°)
a² = 677.13236
a = 26.0 in.
sin(89°)/26.02177 = (sin B)/17
sin B = 17sin(89°)/26.02177
B = 40.8°
C = 50.2°
HELP PLIS!! 50 points
how to write this paired data as a set of order pairs of the form (year, box, office).
what is the order pair that corresponds to the first row of data given in the table?
Answers
Answer:
You just put the data in the format: (year, box office)
The first row will be:
(1999, 22.2)The other pairs:
(2001, 25.1), (2003, 26.3), (2005, 28.2), (2007, 29.4)Consider a triangle ABC . Suppose that B=126°, a=38, and c=22. Solve the triangle.
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
Answers
Answer:
b = 54; A = 34.7°; C = 19.3°
Step-by-step explanation:
To solve the triangle means that we have to calculate the values of the missing angles and the missing sides.
We are given;
B = 126°, a = 38, and c = 22
Using law of cosines, we can find side b.
So;
b² = a² + c² - 2ac*cosB
Thus;
b² = 38² + 22² - 2(38 × 22)cos 126
b² = 1444 + 484 - 1672(-0.5878)
b² = 2910.8016
b = √2910.8016
b = 53.9518 ≈ 54
Using Law of sines, we can find the other 2 angles a and c.
Thus;
a/sin A = b/sinB = c/sinC
Thus, for A;
a/sin A = b/sin B
38/sin A = 53.9518/sin 126
sinA = (38 × sin 126)/53.9518
sinA = 0.5698
A = sin^(-1) 0.5698
A = 34.7363° ≈ 34.7°
Likewise;
b/sinB = c/sinC
53.9518/sin 126 = 22/sinC
sinC = (22 × sin 126)/53.9518
sinC = 0.3299
C = sin^(-1) 0.3299
C = 19.2627 ≈ 19.3°
Using only addition and multiplication, combine the single -digit numbers 1,2,3,4,5,6,7,8,9. So they total 100. the number must stay in the same order (Parentheses are not needed)
Answers
It is not possible to find a combination using addition and multiplication of the given single-digit numbers that totals exactly 100 while keeping the same order.
To combine the single-digit numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 using only addition and multiplication so that they total 100 while keeping the same order, we can form the following expression:
1 + 2 + 3 + 4 + 5 + 6 + 78 + 9
In this expression, we group the numbers 7 and 8 together to form 78. Then, we add all the other numbers from 1 to 6 and the number 9. Adding them up, we get:
1 + 2 + 3 + 4 + 5 + 6 + 78 + 9 = 108
Unfortunately, the sum obtained from this expression is 108, not 100 as required.
It is not possible to obtain a sum of exactly 100 by combining the single-digit numbers 1 to 9 in the given order using only addition and multiplication. This is because the largest single-digit number, 9, is relatively small compared to the desired total of 100.
Adding all the single-digit numbers in order without any multiplication would result in a sum of 45, which is significantly lower than 100. Multiplication can only further decrease the sum, making it even more difficult to reach 100.
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1. How many individual people are represented in the person dataset
2. How many contacts were made with people from family 3?
3. what additional information would be important to obtain in order to evaluate inequities?
4.
NOTE: I WILL ATTACH SECOND ATTACHMENT
Answers
The number of individual people represented in the person data set as indicated by the person_if is; 9 individuals.
The number of contacts made with people from family 3 as in the task content is; 3 contacts, namely, G, H and I.
How many individual people are represented in the person dataset?As evident in the task content, we are expected to access the table and evaluate the data representation in order to draw inferences from observation.
The person_id column assigns an alphabet to each individual.
Hence, the total number of individuals represented in the person data set is; 9 individuals.
Also, since only persons G, H and I are evaluated in family 3, it follows that the total number of individuals checked in family 3 is; 3.
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hen traveling by train, the average speed, s, in miles per hour is inversely proportional to the time, t, the trip takes in hours. If the train takes 2 hours, and the average speed is 120 mph. Determine the constant of variation
A: 1/60 miles
B: 120 miles
C: 60 miles
D: 240 miles
will mark brainliest pls help
Answers
The constant of variation of the given problem is calculated as; 240 miles
How to find the constant of variation?A constant of variation (k) is defined as a ratio that represents the relationship between the independent variable (x) and the dependent variable (y).
Now, we are told that average speed, s, in miles per hour is inversely proportional to the time, t, the trip takes in hours. Thus;
s ∝ 1/t
Thus;
s = k(1/t)
where k is the constant of proportionality
we are told that If the train takes 2 hours, and the average speed is 120 mph. Thus;
120 = k(1/2)
Multiply both sides by 2 to get;
240 miles = k
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Please help I’ve been stuck on it for so long!!! It will help a lot
Answers
Answer:
k= 2
Step-by-step explanation:
Answer this correctly I’ll give brainalist + 10 points
Answers
the sum of supplementary angles is 180 degree
therefore
x +2x = 180°
3x = 180
X = 180/3 = 60°
the value of X is 60°
Pls help!! Thank you sooooo much if you help me on this, pls show proof
Answers
Answer:
√468 = 6√13
Step-by-step explanation:
ABCDEF is a regular hexagon of side length 6.
A'B'C'D'E'F' is the reflection of ABCDEF across BC.
The line FE' is the line from F to E'. It is also the hypotenuse of the right triangle FEE'. FE = 6, and EE' = 4a, where a is the apothem of the hexagon.
To find the apothem, draw the 30-60-90 triangle formed by the apothem and the radius (essentially 1/12th of the hexagon).
Using properties of a 30-60-90 triangle:
a = (6/2)√3
a = 3√3
4a = 12√3
Using Pythagorean theorem:
x² = (6)² + (12√3)²
x² = 36 + 432
x = √468
x = 6√13
-26.875 as a mixed number
Answers
Answer:
-26 and 7/8
Step-by-step explanation:
\(-26 \frac{7}{8}\)
What is the distance between 2 and negative 2
Answers
Find difference
\(\\ \sf\longmapsto 2-(-2)\)
\(\\ \sf\longmapsto 2+2\)
\(\\ \sf\longmapsto 4\)
Answer:
\(4\)
Step-by-step explanation:
To find the difference between 2 and (-2) you have to subtract (-2) by 2
\(you \: \: know \: \: that \\ ( - ) \times ( - ) = ( + ) \\ lets \: \: solve \\ 2 - ( - 2) \\ 2 + 2 \\ = 4\)
✔️z-=4z-2. Solve this problem. It should be the square root of z.
Answers
The equation is solved to give 16z² - z - 4 = 0
How to determine the valueNote that algebraic expressions are defined as expressions that are composed of terms, variables, coefficients, constants and also factors.
The expressions are also identified with mathematical operations, such as;
BracketParenthesesAdditionSubtractionMultiplicationDivisionFrom the information given, we have that;
√z= -4z - 2
Find the square of both sides, we get;
z = 16z² - 4
collect the like terms
16z² - z - 4
Equate to zero
16z² - z - 4 = 0
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Help pls George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan.
Recall the formulas for area and perimeter: A = lw and P = 2l + 2w.
Answers
The width of the dog run is 20 feet.
In the given problem, the length of the dog run is given as 30 feet.
The area of the dog run is also given as 240 square feet.
Using the formula for the area of a rectangle (A = lw), we can solve for the width (w).
Rearranging the formula, we have w = A / l.
Plugging in the values, we get w = 240 / 30 = 8 feet.
Since the width is given as (30 minus x) feet, we can set up an equation:
30 - x = 8. Solving for x, we find x = 22.
Therefore, the width of the dog run is 20 feet (30 - 22 = 8).
In this problem, the length and width of the dog run are defined by the dimensions of the fence being built around it.
The area of the dog run is given as 240 square feet.
By using the formula for the area of a rectangle, we can solve for the width. We are also given that the length is 30 feet.
Setting up an equation with the given width (30 minus x) and solving for x, we find that x is equal to 22.
This means that the width of the dog run is 8 feet. The main answer to the problem is that the width of the dog run is 20 feet (30 - 22 = 8).
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-Which is Larger 34^7 or 10^11?
Explain you thinking.
Answers
Answer:
\(10^{11}\) is larger
Step-by-step explanation:
\(34^{7} = 52,523,350,144\) \(10^{11} = 100,000,000,000\) Because 100,000,000,000 is bigger than 52,523,350,144; \(10^{11}\) is the correct answer.I hope this helps!
find the selling price for the item flash drive: $12 markup:35%
Answers
Answer:
16.2
Step-by-step explanation:
12*1.35=16.2
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What is the probability of throwing a total score of 10 or less with two dice?
Answers
hope it helps
please mark Brainliest
Question 3 of 10
Which angle in ABC has the largest measure?
2
С
A ZA
B. 8
C. 20
O O
D. Cannot be determined
Answers
Answer:
Option C
Angle C has the largest measure