If you drive 5 miles east and then 4 miles south, how far are you, to the nearest tenth
of a mile from your starting point?
Answers
Answer:
6.4 miles
Step-by-step explanation:
5^2 + 4^2 = d^2
25 + 16 = d^2 = 41
d = 6.40 miles
The nearest tenth of a mile from your starting point is 6.4.
What is Pythagoras theorem?The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.
How to write nearest tenth?To round a number to the nearest tenth, we need to look to the right of the tenths place, which is the hundredths place. If the digit in the hundredths place is 5 or greater than 5, we need to add one to the digit in the tenths place. If it is 4 or less than 4, the tenths place digit remains the same. All the digits to the right of the tenths place should be changed to 0. That means, while rounding off a number to the nearest tenth, we will stop the rounding at the tenths place.
According to the question
If you drive 5 miles east and then 4 miles south
We have to find the nearest tenth of a mile from your starting point
From the diagram, we have to use Pythagoras theorem
D = [tex]\sqrt{4^{2} +5^{2} }[/tex]
D = [tex]\sqrt{16+25}[/tex]
D = [tex]\sqrt{41}[/tex]
D = 6.40312
Round 6.40312 to the required nearest tenth
D = 6.4
Hence, The nearest tenth of a mile from your starting point is 6.4.
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Related Questions
what are the equal factors to 10 to the second power
Answers
Answer:
100 i think
Step-by-step explanation:
Answer:
inequality 1 has a solution of 5
Step-by-step explanation:
Use a system of equations to solve 3x+6=6 by graphing on a separate sheet of paper.
*fill in question marks below please*
x=? y=?
so, (?, ?)
Answers
Step-by-step explanation:
A bro WHAT IS that I NEED POINT
The equation is solved algebraically and graphically above.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is the equation as follows -
3x + 6 = 6
The given equation is -3x + 6 = 6
3x = 6 - 6
3x = 0
x = 0
Graphically, it can be solved as shown in the image attached.Therefore, the equation is solved algebraically and graphically above.
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what is the remainder for 192,856÷37
Answers
Answer:
5212 12/37 is the answer
Answer: 5212 with the remainder of 12
Please help ASAP. Thanks so much
Answers
Answer:
I would say D.) 6
Step-by-step explanation:
The positive side of the graph is the right side of the y-axis.
The line passes through the point (6,0)
Answer: 6
Step-by-step explanation: The x-intercept is the point where the parabola crosses the x-axis and notice that this parabola crosses the x-axis.
In this case, the positive x-intercept is 6.
Pls give me the answer.
Answers
Answer:
To what question?
Step-by-step explanation:
Maria invest 16,000 at 9% simple interest for five years. What is the total amount in the account at the end of the five year period
Answers
23,200
Explanation:
Use the formula for the amount after simple interest:
A = P(1 + rt)
“A” is the (final) amount.
“P” is the principal, or starting amount.
“r” is the interest rate in decimal form.
“t” is time, usually in years.
We are given the following:
P = 16,000
r = 9% = 0.09
t = 5
We are solving for “A”.
Substitute values for “P”, “r” and “t” into the formula to find “A”.
A = P(1 + rt)
A = 16,000(1 + (0.09)(5))
Simplify brackets first
A = 16,000(1 + 0.45)
A = 16,000(1.45)
A = 23,200
Therefore, the total amount in the account at the end of the five year period is 23,200.
Answer:
23,200
Step-by-step explanation:
A = P(1 + rt)
A = 16,000(1 + (0.09)(5))
Simplify brackets first
A = 16,000(1 + 0.45)
A = 16,000(1.45)
A = 23,200
Help&EXPLAIN
==============
Answers
Answer:
A = 108 in.²
Step-by-step explanation:
The figure can be decomposed into 3 rectangles.
✔️Area of rectangle 1 = L*W
L = 8 in.
W = 6 in.
Area = 8*6 = 48 in.²
✔️Area of rectangle 2 = L*W
L = 10 in.
W = 4 in.
Area = 10*4 = 40 in.²
✔️Area of rectangle 3 = L*W
L = 5 in.
W = 4 in.
Area = 5*4 = 20 in.
✔️Area of the irregular figure = 48 + 40 + 20 = 108 in.²
Please help with either of these questions. Put the answer in the comments please
Answers
Answer:
2) distance = 4 km
Displacement = 4 km east
3) distance = 35 km
Displacement = 5 km north
Step-by-step explanation:
2. He runs for 3 km in the east direction and then stops.. He now runs another 1 km in the same direction then stops.. Thus,
Total distance covered = 3 + 1 = 4 km
Total displacement is how far he is from his starting point = 3 + 1 = 4 km east
3) Runs 20km north and then runs 15 km back from starting point.
Thus;
Total distance covered = 20 + 15 = 35 km
Total displacement is distance from starting point = 20 - 15 = 5 km north
Subtracted because an opposite direction was taken after the 20km back to her starting point.
It takes 2 workers 6 days to paint a mansion. How many days would it take 4
workers to do the same job?
Answers
Answer:
2 workers = 6 days
4 workers = 3 days
Step-by-step explanation:
If it takes 2 workers 6 days, if you seep up the process with 4 workers, you would divide the days by 2 because you multilpied the workers by 2. So, it would take 3 days with 4 workers. I hope that makes sence.
(25 POINTS!) A right triangle was rotated to create this figure. What is true about the axis of rotation? The picture is shown below.
A. It lies on the hypotenuse of the right triangle.
B. It lies on a leg of the right triangle.
C. It is parallel to a leg of the right triangle, but is separate from the right triangle.
D. It is parallel to the hypotenuse of the right triangle, but is separate from the right triangle.
Answers
Answer:
It lies on the hypotenuse of the right triangle.
Step-by-step explanation:
It lies on the leg of the right triangle. Then the correct option is B.
What is Geometry?One of the first areas of mathematics is geometry, along with maths. It is preoccupied with spatial characteristics including the separation, form, size, and relative placement of objects. A geometer is a mathematician who specializes in shape.
A right triangle was rotated to create this figure.
Since the given figure is a right triangle that has been rotated, the axis of rotation must pass through the vertex of the right angle, which is also the intersection of the perpendicular leg. Therefore, the axis of rotation must lie on the leg of the right triangle.
It lies on the leg of the right triangle. Then the correct option is B.
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Thane Company is interested in establishing the relationship between electricity costs and machine hours. Data have been collected and a regression analysis prepared using Excel. The monthly data and the regression output follow: Month Machine Hours Electricity Costs January 2,000 $ 18,950 February 2,400 $ 22,100 March 1,400 $ 14,050 April 2,600 $ 24,100 May 3,300 $ 28,800 June 2,800 $ 23,100 July 3,600 $ 25,300 August 3,000 $ 23,300 September 1,500 $ 16,600 October 3,200 $ 27,100 November 4,200 $ 32,100 December 3,700 $ 28,300 Summary Output Regression Statistics Multiple R 0.960 R Square 0.921 Adjusted R2 0.913 Standard Error 1,545.17 Observations 12.00 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 7,465.99 1,566.61 4.77 0.00 3,975.37 10,956.62 Machine Hours 5.76 0.53 10.78 0.00 4.57 6.95 If the controller uses the high-low method to estimate costs, the cost equation for electricity costs is: (Round intermediate calculations to 2 decimal places.)
Answers
Answer:
If the controller uses the high-low method to estimate costs, the cost equation for electricity costs is "Total cost = $5,010 + ($6.45 * Machine hours)".
Step-by-step explanation:
Note: The data needed to estimate costs using the high-low method is merged together. It is therefore sorted before answering the question as follows:
Month Machine Hours Electricity Costs
January 2,000 $18,950
February 2,400 $22,100
March 1,400 $14,050
April 2,600 $24,100
May 3,300 $28,800
June 2,800 $23,100
July 3,600 $25,300
August 3,000 $23,300
September 1,500 $16,600
October 3,200 $27,100
November 4,200 $32,100
December 3,700 $28,300
The explanation of the answer is now provided as follows:
Step 1: Calculation of variable cost per hour
From the data above, the highest Machine Hours and Electricity Costs occur in November, while the lowest occur in March. Therefore, we have:
Variable cost per hour = (Highest Electricity Costs - Lowest Electricity Costs) / (Highest Machine Hours - Lowest Machine Hours = ($32,100 - $14,050) / (4,200 – 1,400) = $18,050 / $2,800 = 6.44642857142857
Rounding to 2 decimal places as required, we have:
Variable cost per hour = $6.45
Therefore, the variable-cost components using the high-low method is $6.45.
Step 2: Calculation of total fixed cost
The formula for calculating the total cost is given as follows:
Total cost = Total Fixed Cost + Total Variable Cost ................. (1)
Where;
Total Variable Cost = Variable cost per hour * Machine hours at a particular Electricity Costs
Using highest levels of activity and substitute into equation (1), we have:
$32,100 = Total Fixed Cost + ($6.45 * 4,200)
Total Fixed Cost = $32,100 - ($6.45 * 4,200) = $32,100 - $27,090 = $5,010
Therefore, the fixed-cost components using the high-low method is $5,010.
Step 3: Derivation of the cost equation for electricity costs
The cost equation for electricity costs can be obtained based on the total cost function given in equation (1) above, where:
Total Fixed Cost = $5,010
Total Variable Cost = Variable cost per hour * Machine hours = $6.45 * Machine hours
Substituting the values into equation (1), we have:
Total cost = $5,010 + ($6.45 * Machine hours)
Therefore, if the controller uses the high-low method to estimate costs, the cost equation for electricity costs is "Total cost = $5,010 + ($6.45 * Machine hours)".
What equation is the equivalent to 2x^2-24x-14=0
Answers
Answer:
2(x^2-12x-7)
Step-by-step explanation:
Determine whether the given value is a statistic or parameter a survey found at 97% of all respondents have jobs
Answers
Answer:
b) The value is a statistic because it is a numerical measurement describing some characteristic of a sample
wat is x in 1/3x - 11 = 5
Answers
=48
Multiply by 1
Add 1 1 11 11
to both sides of the equation
Answer:
The answer is 48
Step-by-step explanation:
First, add 11 to both sides
5 + 11 = 16
1/3x = 16
Next, times 16 by 3
16 times 3 = 48
Check!
1/3(48) = 16
16 - 11 = 5
X = 48
10 minus the product of 5 in the number G is more than 80
Answers
Answer:
10-5g >80
Step-by-step explanation:
10-5g >80
This is the statment if u want it.
Will the sum of 56+ (-56) be Positive negative or zero
Answers
Answer:
zero
Step-by-step explanation:
56+(-56),thus
the negative overcomes the positive,
56-56
0
(3x + 3)(2x + 6) =
(2x + 1)(x - 2) =
(x - 3)(x + 4) =
(2x - 4)(x - 5) =
(x + 3)(x + 2) =
(x + 2)(x + 2) =
(x + 3)(x - 3) =
(2x³ + 1)(x - 4) =
Answers
Step-by-step explanation:
step 1. use Foil to multiply the polynomials.
step 2. (3x + 3)(2x + 6) = 6x^2 + 18x + 6x + 18 = 6x^2 + 24x + 18.
step 3. (2x + 1)(x - 2) = 2x^2 - 4x + x - 2 = 2x^2 - 3x - 2.
step 4. (x - 3)(x + 4) = x^2 + 4x - 3x - 12 = x^2 + x - 12.
( 8 x 10^4) - ( 4 x 10^2) give the answer in standard form
Answers
Answer:
7.96x10^4
Step-by-step explanation:
You will get 796000 and you just move the decimal point infront to get 7.96x10^4
I NEED EQUATIONS FROM THESE POINTS, PLEASE HELP.
Answers
Answer:
Hey There your answers are in the below!!
Step-by-step explanation:
# 5
M = -5
# 6
= 0
#7
= 180
# 8
= 0
- Me!
Carlos thinks of a number. When he adds 17 to it, the result is 45. What is the number that Carlos thought of?
Answers
Jaden earned $54 every nine days based on this information how many days will it take Jaden to earn $96
Answers
Answer:
it will take her 16 days
Step-by-step explanation:
1. How many calories are in the smoothie that
contains 51 grams of sugar?
2. How many grams of sugar are in the smoothie
that contains 250 calories?
Answers
Answer:
responde la pregunta tú sólo déjame en paz
The 51 gram of sugar has 204 calorie and there is 62.5 gram of sugar in 250 calories.
What is a Measurement unit?A measurement unit is a unit to measure certain quantities.
For example, the mass can be measured in kilograms, length can be measured in meter and time can be measured in seconds.
To find the measurement of a new quantity knows units can be used in operation. As to find the unit for speed we use m/s as a unit, where, m is the unit of distance and s is the unit of time.
Solve these problems using the conversion unit for calorie to gram.
(1) 1 gram = 4 calories
Then, 51 grams = 51 × 4
= 204 calories
(2) 4 calorie = 1 gram
1 calorie = 1/4 gram
250 calorie = 1/4 × 251
= 62.5 gram
Hence, smoothie containing 51 gram sugar has 204 calories and in 250 calories of smoothie there is 62.5 gram of sugar.
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The ratio of swordfish to marlins caught on a deep sea fishing trip was 20 to 15. If 24 marlins were caught, how many swordfish were caught? Complete the ratio table.
Answers
Answer:
39
Step-by-step explanation:
Lizzy ran 2/3 of an hour for four days. How many total hours did Lizzy run?
Answers
I hoped it helped
Answer:
Well lizzie stevens from Greys better stop running if she got cancer
Step-by-step explanation:
The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y - 1 = 1/4(x- 12). What
is the standard form of the equation for this line?
X - 4y = 8
x -4y = 2
4x - y = 8
• 4X -y=2
Answers
Answer:
ffffffffff
Step-by-step explanation:
fffffffffffffff
What is sum of the vectors, (4.-5) and (10,2)?
(-6, 7)
(14,-3)
(14,7)
(15,6)
Answers
Answer:
(14,-3)
Step-by-step explanation:
To sum vectors, simply sum values at each position.
The sum is (4+10, -5+2) = (14,-3)
WILL BRAINLIST IF CORRECT!
Sasha solved an equation, as shown below:
Step 1: 8x = 56
Step 2: x = 56 – 8
Step 3: x = 48
How many solutions does this equation have?
Answers
Incorrect, she should have divided both sides by 8. The answer should be x=7. There is only 1 solution to the equation because x is raised to the first degree. It is not a polynomial equation so there won't be more than 1 answer to the equation.
what is the shape of a normal curve in statistics
Answers
Answer:
oval yeah oval
Step-by-step explanation:
help me pls i need help
Answers
Answer:
B
Step-by-step explanation:
:-)
Answer:
B
Step-by-step explanation:
This problem is to compare the value of the two numbers. Obviously, 0.21>0.012
Inverse of functions:
Can someone please help me I’ve been trying to do this answer for the past hour and I still can’t solve it.
Answers
Answer:
I'm not sure sorry!! :(
Step-by-step explanation:
