The degree to turn before walking 673 paces is 59 degrees
How to determine the degree to walk?From the question, we have the following parameters that can be used in our computation:
Lengths = 989 paces, 673 paces and 861 paces
These paces can be represented as
x = 989
y = 673
z = 861
The measure of the required angle (angle Z) i.e. the degree to walk can be calculated using the following cosine rule
z² = x² + y² - 2xy * cos(Z)
Substitute the known values in the above equation, so, we have the following representation
861² = 989² + 673² - 2 * 989 * 673 * cos(Z)
Evaluate the exponents, the products and the summation
So, we have the following representation
741321 = 1431050 - 1331194 * cos(Z)
Evaluate the like terms
- 1331194 * cos(Z) = -689729
Divide both sides by - 1331194
cos(Z) = 0.51812808651
Take the arc-cos of both sides
Z = 58.7
Approximate
Z= 59 degrees
Hence, the measure of the angle is 59 degrees
Read more about angles at
https://brainly.com/question/7620723
#SPJ1
The rate a car travels varies inversely with the time of the trip. If a car traveling 63 miles per hour can make the
trip in 2.5 hours. If on the return trip you travel 70 miles per hour, how many hours did it take you to return?
Answer:
2.25 hours
Step-by-step explanation:
simplify : 7w - 8( -9 - 3w)
Answer:
Step-by-step explanation:
7w + 72 + 24w
31w + 72
A sample of 260 students enrolled at a university were asked what they intended to do after graduation. The results are shown below.
Bar Graph of Type of Employment
What percentage of students intend to go into state or local government after graduation?
Hi my name is Fabian and 69% because 69 is a man which is multi colour hair
Work out the perimeter of the shaded shape on the centimetre grid.
Give the answer in cm and no spam.
Answer:
The perimeter of this rectangle is 10 cm.
Lucas received $35 from his friend for his birthday. He wants to purchase a new keyboard that is $19 and wants to spend the rest on a monthly subscription for computer games. The monthly subscription costs $5 per month. What is the max number of months that Lucas can pay for?
Answer:
3 months
Step-by-step explanation:
35
- 19
= 16 left after keyboard
- 15 Three months of subscription costs
PLEASE ANSWER I HAVE 5 MINS WILL MARK BRAINLIEST IF CORRECT!
Answer:
18
Step-by-step explanation:
Answer: 18.
Step-by-step explanation: For 4x, we change x to 18, so it makes 4 x 18, which is 72. However, we still need the value of x beneath that angle, which is 18. 18 + 72 equals 90 and the general angle of this problem is supposed to be 90 degrees.
Let me know if this is right! :)
A division of a company produces income tax apps for smartphones. Each income tax app sells for $8. The monthly fixed costs incurred by the division are $20,000, and the variable cost of producing each income tax app is $3.
The break-even point for the division is as follows:
Break-even point in units = 4,000 unitsBreak-even point in dollars = $32,000.What is the break-even point?The break-even point is the unit or dollar value where the total revenue equals the total costs.
The total costs consist of the fixed and variable costs.
Selling price per unit of the income tax app = $8
The variable cost per unit = $3
Contribution margin per unit = $5 ($8 - $3)
Contribution margin ratio = 62.5% ($5 ÷ $8 x 100)
Fixed cost per month = $20,000
Break-even point in units = Fixed Costs/Contribution margin per unit
= 4,000 units ($20,000 ÷ $5)
Break-even point in dollars = Fixed Costs/Contribution margin ratio
= $32,000 ($20,000 ÷ 62.5%)
Learn more about the break-even point at https://brainly.com/question/21137380.
#SPJ1
Question Completion:Find the break-even point for the division.
The length of a rectangle is 2 inches more than its width. The area of the rectangle is equal to 12 inches more than three times the perimeter. Find the length
and width of the rectangle.
Answer:
Step-by-step explanation:
The length of a rectangle is 2 inches more than its width. The area of the rectangle is equal to 12 inches more than three times the perimeter. Find the length
and width of the rectangle.
Amanda asked a random sample of 40 students from her school to identify their birth month. There are 300 students in her school. Amanda's data is shown in this
table:
Student Birth Months
Birth Month
January
February
March
April
May
June
July
August
September
October
November
December
Number of Students
3
0
3
10
4
3
4
3
2
2
3
3
Which of these statements is best supported by the data?
Exactly 25% of the students in Amanda's school have April as their birth month.
There are no students in Amanda's school that have a February birth month.
There are probably more students at Amanda's school with an April birth month than a July birth month.
There are probably more students at Amanda's school with a July birth month than a June birth month.
-1/2(16-8x)
Plz Answer
Answer:
-8+4x
Step-by-step explanation:
Find the value of N in 26%×N=78
Answer:
26%×N=78
Reduce the fraction 26/100 to lowest terms by extracting and cancelling out 2.
13
– N=78
50
multiply both sides by 15/30 the reciprocal of 13/50
N=78× (50/13)
Express 78×(50/13) as a single fraction
N=78×50
———
13
multiply 78 and 50 to get 3900.
N=3900
———
13
Divide 3900 by 13 to get 300.
N=300
So the answer is N=300
Step-by-step explanation:
#Carry on learning
How many different passwords can be made if it is three letters, followed by two digits, followed by a letter? (Repetition is allowed.) Use the fundamental counting principle.
Answer:
There are 45,697,600 different passwords.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
In this question:
3 letters, each with 26 possible options(ways).
Two digits, each with 10 possible options.
One digit, with 26 possible options.
How many different passwords?
Each digit/letter is independent, so:
26*26*26*10*10*26 = 45,697,600
There are 45,697,600 different passwords.
PLease help asap BRAINLIEST ANSWER
Given: line{AB}with point A (2,2) and the midpoint M( 4,-2)
Identify the coordinates of point `B.`
Given line `t` on the graph provided, choose all points that lie on the line that passes through point `P` and is perpendicular to line `t`.
Answer: (6,-6)
Step-by-step explanation:
To find the coordinates of point B, we can use the midpoint formula:
Midpoint formula: The midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) is given by:
M = ((x1+x2)/2, (y1+y2)/2)
Here, we know that the midpoint M is (4, -2), and one endpoint A is (2, 2). Let B be the other endpoint, so we can use the midpoint formula to find B:
4 = (2+x2)/2 --> 8 = 2+x2 --> x2 = 6
-2 = (2+y2)/2 --> -4 = 2+y2 --> y2 = -6
Therefore, point B has coordinates (6, -6).
As for the second question, without a graph or information about the equation of line t and point P, it is not possible to determine which points lie on the line passing through P and perpendicular to t.
19
Select the correct answer.
A developer buys an empty lot to build a small house. What is the area of the lot?
Area of the plot = 193 sq.yd. , Option B is the correct answer.
What is Area ?
Area is the space occupied by a flat surface or an object .
It is measured in square units
It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.
It is given that
A developer buys an empty lot to build a small house.
area of the lot = ?
The figure is incomplete and the complete figure is attached with the answer.
To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure
Area of the first triangle = (1/2) * base * height
By Calculation
base = 17 unit and height = 10 unit
= (1/2) * 17 * 10
= 17*5
=85 sq.unit
Area of the second triangle = (1/2)* 9* 8
=36 sq. unit
Area of the rectangle = base * height
base = 9 unit and height = 7 unit
Area = 9*7= 63 sq.unit
Area of the last triangle = (1/2) * 2*9
= 9 unit
The area of the plot = 85+36+63+9
Area of the plot = 193 sq.yd.
Therefore , Option B is the correct answer.
To know more about Area
https://brainly.com/question/27683633
#SPJ1
Answer:
Step-by-step explanation:
Area of the plot = 193 sq.yd. , Option B is the correct answer.
What is Area ?
Area is the space occupied by a flat surface or an object .
It is measured in square units
It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.
It is given that
A developer buys an empty lot to build a small house.
area of the lot = ?
The figure is incomplete and the complete figure is attached with the answer.
To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure
Area of the first triangle = (1/2) * base * height
By Calculation
base = 17 unit and height = 10 unit
= (1/2) * 17 * 10
= 17*5
=85 sq.unit
Area of the second triangle = (1/2)* 9* 8
=36 sq. unit
Area of the rectangle = base * height
base = 9 unit and height = 7 unit
Area = 9*7= 63 sq.unit
Area of the last triangle = (1/2) * 2*9
= 9 unit
The area of the plot = 85+36+63+9
Area of the plot = 193 sq.yd.
Therefore , Option B is the correct answer.
To know more about Area
brainly.com/question/27683633
#SPJ1
The city of Raleigh has 9,200 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 200 randomly selected registered voters was conducted. 65 said they'd vote for Brown, 121 said they'd vote for Feliz, and 14 were undecided.
A. what is the population of this survey?B. What is the size of populationC. What is the size of the sampleD. Give the sample statistic for the proportion of voters surveyed who said they'd vote for Brown.E. Based on the sample, we might expect how many of th 9500 voters to vote for Brown
Answer:
A) The population of this survey is the registered voters in the city of Raleigh.
B) 9500
C) 200
D) 0.325
E) 3088
Step-by-step explanation:
A) The population of this survey is the registered voters in the city of Raleigh.
B) Population size can be defined as the total number of individuals in a population. Here the total number of individuals are the registered voters in the city. Therefore the size of the population is 9500.
c) Sample size is defined as the number of individual samples in a statistical test. Here the sample size is the 200 randomly selected registered voters. It is denoted as "n".
d) The sample statistic for the proportion of voters surveyed who said they'd vote for Brown would be:
p' = voters for brown / sample size
\( p' = \frac{65}{200} = 0.325 \)
The sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.325
E) The expected number of voters for Brown based on the sample:
0.325 * 9500 = 3087.5
Approximately 3088
The expected number of voters for Brown based on the sample might be 3088 voters.
the density of the copper is 9.86g/cm\(x^{3}\)
The mass of the cubic cuboid is 1.479 kilograms.
What is the mass of a copper cuboid?
Dimensionally speaking, density (ρ), in kilograms per cubic meter, is mass (m), in kilograms, per unit volume (V), in cubic meters. By the assumption of uniform density within the copper cuboid, the mass of the solid is equal to:
m = ρ · V
Where V is the volume of cuboid, in cubic meters.
And the volume of cuboid is:
V = w · h · l
Where:
w - Width, in meters. h - Height, in meters.l - Length, in meters.Please notice that a kilogram equals 1000 grams and a meter equals 100 centimeters.
First, calculate the volume of the cuboid:
V = (0.05 m) · (0.03 m) · (0.10 m)
V = 1.5 × 10⁻⁴ m³
Second, determine the mass of the cuboid:
m = (9.86 g / cm³) · (1 kg / 1000 g) · (1000000 cm³ / m³) · (1.5 × 10⁻⁴ m³)
m = 1.479 kg
To learn more on density: https://brainly.com/question/15164682
#SPJ1
Can anyone help me pls
The experiment conducted resulted in a '2' five times out of 24 rolls , so the experimental probability is 5 / 24
I need help with these questions. Ignore my failed attempts
The values of all 9 angles shown were found using the property of a kite they are:
m∠1=55°
m∠2=35°
m∠3=35°
m∠4=90°
m∠5=55°
m∠6=67°
m∠7=67°
m∠8=23°
m∠9=23°
What is an angle ?
In Kite figure, it is given that:
∠2+∠3 = 70°
Since they are equal so ∠2=∠3=35
∠8+∠9 = 46°
Since they are equal so ∠8=∠9=23°
∠5 = 180-∠3-∠4 = 180-35-90=55°
Similarly, ∠1 = 55°
∠6+∠7 = 180-∠8-∠9 = 180-46 = 134°
Since they are equal
∠6=∠7 = 67°
Therefore, all 9 angles were calculated using property of a kite.
m∠1=55°
m∠2=35°
m∠3=35°
m∠4=90°
m∠5=55°
m∠6=67°
m∠7=67°
m∠8=23°
m∠9=23°
In mathematics, an angle is a geometric figure formed by two rays or line segments that share a common endpoint, called the vertex. The rays or line segments are called the sides or legs of the angle, and the distance between the sides at the vertex is called the angle's measure.
Angles are typically measured in degrees or radians, and they can be classified by their measures as acute (less than 90 degrees), right (exactly 90 degrees), obtuse (greater than 90 degrees and less than 180 degrees), straight (exactly 180 degrees), reflex (greater than 180 degrees and less than 360 degrees), or full (exactly 360 degrees).
Kites have several properties related to their angles, including:
Two pairs of opposite angles in a kite are congruent. That is, the angles formed between the pairs of congruent sides are equal.
One diagonal of a kite bisects the other diagonal. This means that the diagonal that connects the non-congruent vertices of the kite divides the other diagonal into two equal segments.
The sum of the measures of the two non-congruent angles in a kite is 180 degrees. This is because the kite can be divided into two congruent triangles by drawing the diagonal that bisects the other diagonal, and the sum of the angles in a triangle is always 180 degrees.
To get more about angle refer to:
https://brainly.com/question/25716982
#SPJ1
I will give BRAINLIEST if correct need asap
(A) The data provided is modeling a geometric sequence, (B) the recursive formula is T(5) = T(4) * 2., and (C) the explicit formula T(n) = T(1) * r^(n-1).
What is the explicit formula?
The explicit formula for an arithmetic sequence is an = a + (n - 1)d, and any term of the sequence can be computed, without knowing the other terms of the sequence. In general, the explicit formula is the nth term of arithmetic, geometric, or harmonic sequence.
A. The data provided is modeling a geometric sequence.
This is because the common ratio between consecutive terms is a constant value, specifically in this case is the ratio between consecutive terms is multiplied by 2.
B. To find the time Aurora will complete station 5 using a recursive formula,
we can use the formula T(n) = T(n-1) * r,
where T(n) is the time at the nth station, T(n-1) is the time at the (n-1)th station, and r is the common ratio.
In this case T(5) = T(4) * 2
and T(4) = 24 (from the data provided)
Therefore, T(5) = 24 * 2 = 48 minutes
C. To find the time Aurora will complete the 9th station using an explicit formula,
we can use the formula T(n) = T(1) * r^(n-1)
In this case, T(9) = T(1) * 2^(9-1)
and T(1) = 3 (from the data provided)
Therefore, T(9) = 3 * 2^8 = 3 * 256 = 768 minutes
The explicit formula assumes that the first term of the sequence is T(1) and the common ratio of the consecutive term is r.
Hence, (A) The data provided is modeling a geometric sequence, (B) the recursive formula is T(5) = T(4) * 2., and (C) the explicit formula T(n) = T(1) * r^(n-1).
To learn more about explicit formula visit,
https://brainly.com/question/24198356
#SPJ1
please help.. the third and fourth choice are the same as the first two but positive
Answer:
Your answer is going to be one of the 1/3 I'm pretty sure it is the positive 1/3 because the line is not decreasing.
Step-by-step explanation:
Jemma and Debra work as consults. They both get hired for jobs. Jemma charges a fee of $5 plus an additional $22 per hour. Debra charges $20 per hour. Write an expression that
Answer:
Jemma: 22x + 5
Debra: 20x
Step-by-step explanation:
100 POINT QUESTION!! there's an attachment! :)
Answer:
Square root of 10: (3,4) and (2,1), (-2,3) and (1,2), (-4,-2) and (-3, 1)
Square root of 29: (3,7) and (5,2), (5,-2) and (3,3), (4,-1) and (-1,1)
Answer:
Square root of 10: (3,4) and (2,1), (-2,3) and (1,2), (-4,-2) and (-3, 1)
Square root of 29: (3,7) and (5,2), (5,-2) and (3,3), (4,-1) and (-1,1)
I need help please ?!!!!!
Answer:
s = 20
Step-by-step explanation:
Determine the equation of the graph and select the correct answer below.
Answer: y = (x - 1)² - 3
Step-by-step explanation:
y = (1-1)²-3
y=0-3
y=-3
Please look at the graphs in the photo. Thank you!
(a). The graph of y = -f(x) is shown in the image below.
(b). The graph of y = g(-x) is shown in the image below.
How to draw the graph of the transformed functions?By reflecting the parent absolute value function g(x) = |x + 2| - 4 over the x-axis, the transformed absolute value function can be written as follows;
y = -f(x)
y = -|x + 2| - 4
Part b.
In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = rise/run
Slope (m) = -2/4
Slope (m) = -1/2
At data point (0, 5) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 5 = -1/2(x - 0)
g(x) = -x/2 + 5, -4 ≤ x ≤ 4.
y = g(-x)
y = x/2 + 5, -4 ≤ x ≤ 4.
Read more on reflection here: brainly.com/question/27912791
#SPJ1
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
x² + (y - 3)² = 36; x² + (y + 8)² =36 represent the circles that have a diameter of 12 units and a center that lies on the Y axis.
We know that the abscissa of coordinates of a point on Y axis is 0.
So the equation of a circle center at (0, k) and radius 'r' is given by,
x² + (y - k)² = r²
Here given that the diameter of the circle must be = 12 units
So the radius of the circle = 12/2 = 6 units.
So the equation of the required circle looks like
x² + (y - k)² = 6², where k is an real number.
x² + (y - k)² = 36
So we can see that the equations x² + (y - 3)² = 36; x² + (y + 8)² =36 can be the equation of the required circle.
To know more about circles here
https://brainly.com/question/1506955
#SPJ1
What is a proportion?
Answer:
A part of a thing
Answer:
When two ratios or fractions are equivalent.
Step-by-step explanation:
Example 5/10 = 1/2
Hector is visiting a cousin who lives 360 miles away. He has driven 70 miles. How many more miles does he need to drive to reach his cousin's home? Let d be how many miles left to reach his cousin's home.
Answer:
260 miles.
Step-by-step explanation:
350-90=260
If you see the word difference in an equation, it means to subtract. :) hope that helps
Marcelina uses a blend of white corn and yellow corn to make tortilla chips at her restaurant. She needs to buy 50kg, end text of corn in total for her next order. White corn costs $0.30 per kilogram, yellow corn costs $.015 per kilogram, and she wants to spend 12 dollars total.
CORRECT (SELECTED)
Marcelina spends the intended amount of money and buys the intended amount of corn.
Explanation: Point E is on line a, so it represents a scenario where she spends a 12 dollar sign, Also, point E is on line b, so it represents a scenario where she buys 50kg end text of corn.
Option A. The answer to the question is Marcelina spends the intended amount of money and buys the intended amount of corn.
How to solve for the intended amount of corn from the graphWe can see a point that takes us to the amount that the corn was bought and the quantity that was obtained.
This shows that she is in range of what she was asked to buy. E shows us the amount that was spent as 12 dollars and the quantity of 50kg.
Read more on graphs here:
https://brainly.com/question/19040584
#SPJ1
10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
For more questions on prime number
https://brainly.com/question/145452
#SPJ8