Answer:
d
Step-by-step explanation:
The correct answer is option C: 13 meters. Jacob and Sharon are approximately 13 meters apart.
To determine how far apart Jacob and Sharon are now, we first need to find their final positions and then calculate the distance between those points.
Step-by-Step Solution
→ Jacob's Movement:
He walked 3 meters north and then 4 meters west.
→ Final position of Jacob: (-4, 3).
Sharon's Movement:
→ She walked 5 meters south and then 12 meters east.
→ Final position of Sharon: (12, -5).
To find the distance between their final positions, we can use the Pythagorean theorem. The distance d between the points (-4, 3) and (12, -5) is calculated as follows:
→ d = √[(12 - (-4))² + (-5 - 3)²]
= √[(12 + 4)² + (-8)²]
= √[(16)² + (8)²]
= √[256 + 64]
= √320
= √(16 × 20)
= 4√20
= 4√(4 × 5)
= 8√5
≈ 13 meters
→ Thus, Jacob and Sharon are approximately 13 meters apart.
A marathon is 26.2 miles. What is the least number of times Miguel must run for his total distance run during training to exceed the distance of a marathon?
Missing part of the question
Miguel has started training for a race. The first time he trains, he runs 0.5 mile. Each subsequent time he trains, he runs 0.2 mile farther than he did the previous time.
What is the arithmetic series that represents the total distance Miguel has run after he has trained n times?
Answer:
The least number of times Miguel must run for his total distance run during training to exceed the distance of a marathon is 17.3 miles
Step-by-step explanation:.
Given parameters
Miguel first run = 0.5 mile
Subsequent run = 0.2 mile
This question is an arithmetic progression.
We'll make use of arithmetic progression formula to solve this
Formula:.
Tn = a + (n - 1)d
Where a = first term
n = number of terms
d = common difference
In this case
a = first run = 0.5 mile
d = subsequent run = 0.2 mile
So, Tn = a + (n - 1)d become
Tn = 0.5 + (n - 1) 0.2
Tn = 0.5 + 0.2n - 0.2
Tn = 0.5 - 0.2 + 0.2n
Tn = 0.3 + 0.2n
The arithmetic series of an arithmetic progression is calculated using
Sn = ½(a + Tn) * n
By substituton, we have
Sn = ½(0.5 + 0.3 + 0.2n) * n
Sn = ½(0.8 + 0.2n) * n
Sn = 0.4n + 0.1n²
b.
Since the race is 26.2 miles then the least number of times is given as
Sn ≥ 26
0.4n + 0.1n² ≥ 26.2
0.1n² + 0.4n - 26.2 ≥ 0
Using quadratic formula
n = (-b ± √(b² - 4ac))/2a
Where b = 0.4 a = 0.1 and C = -26.2
So,
n = -0.4 ± √(0.4² - 4 * 0.1 * ,26.2)/2 * 0.1
n = (-0.4 ± √10.64)/0.2
n = (0.4 ± 3.26)/0.2
n = (0.4 + 3.26)/0.2 or (0.4 - 3.26)/0.2
n = 3.46/0.2 or -2.86/0.2
n = 17.3 or -14.3
Since n can't be negative
n = 17.3 miles
The least number of times Miguel must run for his total distance run during training to exceed the distance of a marathon is 17.3 miles
Answer:
15 times
Step-by-step explanation:
Two right triangles, ABD and ACD, were created from ABC by
constructing AD 1 CB.
Follow these steps to prove that sin(B) = sin(C)
1. For
ABD, sin(B) = 1
Answer:
Since their corresponding angles are congruent and the corresponding sides are in proportion
Step-by-step explanation:
For ABD,
Sin (B) = (AD ÷ AB) =1
∴ AD = AB
and if AD = AB
⇒ AD = AC (since AD 1 CB).
From triangle ACD,
Sin(C) = (AD ÷ AC)
Since AD = AC , Hence Sin (B) = Sin (C) = 1
Also From definition of similar triangles ABD and ACD are Similar (i.e their corresponding angles are congruent and the corresponding sides are in proportion)
Answer:
1 is h/c
2 is c sin(b)=h
3 is h/b
4 is b sin(c)=h
5 is substitution
6 is bc
Step-by-step explanation:
right on edge 2020
El perímetro del cuadrado ABCD es 24cm. Halla la medida de
forma simple:
Answer:
Sides: 6 cms
Diagonal: 8.49 cms
Step-by-step explanation:
In a square the possible measurements to calculate are its sides and its diagonal, therefore we calculate both:
The perimeter of a square is calculated as the sum of its four sides. This is defined as a figure that has four equal sides, then:
4/24 = 6
Therefore each side measures 6 cm.
For the diagonal, we use pythagoras since it corresponds to the hypotenuse of a right triangle that is formed by drawing the diagonal:
c ^ 2 = a ^ 2 + b ^ 2
c ^ 2 = 6 ^ 2 + 6 ^ 2
c ^ 2 = 36 + 36 = 72
c = 72 ^ (1/2)
c = 8.49
What the diagonal means is 8.49 cm.
Which of the following lines goes downwards from left to right?
O y= 2x + 5
O y=2x-6
O y= 2x
O y=-2x + 20
Answer:
D
Step-by-step explanation:
A line with a positive slope goes upwards from left to right.
A line with a negative slope goes downwards from left to right.
The given lines are all in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 5 has m = 2 ← positive
y = 2x - 6 has m = 2 ← positive
y = 2x has m = 2 ← positive
y = - 2x + 20 has m = - 2 ← negative
Thus y = - 2x + 20 goes downwards from left to right
Answer:
D
Step-by-step explanation:
Let f(x) = x – 4 and g(x) =1/x. The graph of (gºf)(x) is shown below.
What is the domain
(g°f)(x)=1/(x-4)
x-4 !=0 (different from 0 because the denominator can never be 0)
=> x!=4
the domain is R \ {4}
The area of a trapezoid is 39 square millimeters. The height of the trapezoid is 8 millimeters. One of the base lengths of the trapezoid is 5 millimeters. What is the length of the other base of the trapezoid?
Answer: 18 meters
Step-by-step explanation:
Perched upon Pinnacle Point, Peter picks up a peculiar piece of parchment (pictured below).
"This might be a treasure map!" he exclaims as he flips it over, revealing a clue:
P. Point.
673
673673 paces
S. Cove.
861
861861 paces
Under big rock
“These must be the distances to the treasure!” Peter nearly wets himself.
If Peter is currently facing towards Skeleton Cove, how many degrees to his left should he turn before walking
673
673673 paces to the treasure?
Answer:59
Step-by-step explanation:
What does the statement I a I= 5 mean?
A a is equal to 5.
B a is equal to −5.
C a is 5 units from 0.
D You cannot tell without knowing the value of a.
The savings rate for two students is shown.
Fill in the blanks to correctly compare the two students account
Anna opens her savings account with $_______ less than Alec used to open his account. Anna adds $_______ more per week to her account than Alec adds to his.
Answer:
2 less
3 more
Step-by-step explanation:
brainliest please
Anna opens her savings account with 'Y' dollars less than Alec's initial account amount, and she adds 'W' dollars more to her account each week compared to Alec.
Explanation:Given that we want to compare the savings accounts of two students, Anna and Alec, let's assume that Alec opens his savings account with 'X' amount of dollars, and Anna opens hers with 'Y' amounts less than Alec, making her initial amount 'X-Y' dollars. Additionally, if Alec adds 'Z' dollars per week to his account, but Anna adds 'W' dollars more than Alec each week, Anna would be adding 'Z+W' dollars to her account weekly.
So, to fill in the blanks, you could say: Anna opens her savings account with 'Y' less than Alec used to open his account. Anna adds 'W' more per week to her account than Alec adds to his. By comparing this way, we can look at the differences in both the initial investment and the weekly contributions for each of the students' savings accounts.
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Would you rather....
Answer:
Fred's Fit Place: 4 month membership every trimonthly
Step-by-step explanation:
Fred's Fit Place is less expensive first of all.
Secondly, You could by a one month membership every month, a two month membership every 6 months, a three month membership every 4 months or a 4 month membership trimonthly. If you do the math, the 4 month membership trimonthly is least expensive.
Answer:
Fred Fit's Place
Step-by-step explanation:
5. Find the area of a regular octagon with a radius of 12 ft. Round your answer to the nearest tenth, if
necessary
This net can be folded to form a cube with a side length of 20 units.
Answer:
its b!!!!!!!
Step-by-step explanation:
What is the value of u? (Geometry problem)
Answer:
U = 71 degrees
Step-by-step explanation:
First you should set up an equation:
180 = b + (b - 19) + (180 - (b + 45))
Since there are 180 degrees in a triangle, set the sum of the angles equal to 180. And, since (u) and (b + 45) are supplementary angles that add up to 180, you can substitute (180 - (b + 45)) for (u).
Then, solve for (b):
180 = b + b - 19 + 180 - b - 45
180 = b + 116
64 = b
Find (b + 45):
64 + 45 = 109
Solve for (u):
180 - 109 = 71
u = 71
When exchanging US Dollars (USD) for Philippine Peso (PHP) the number of Philippine Pesos
received is directly proportional to the number of US Dollars to be exchanged. If 350 USD can be
converted into 12,451.60 PHP.
Find the constant of proportionality k.
k=
(If needed, round answer to 3 decimal places.)
Using the k from above find the amount of PHP given that you have 700 USD to convert.
you will receive
PHP (If needed, round answer to 2 decimal places.)
Answer:
k = 35.57624,903.20 PHPStep-by-step explanation:
We want k such that ...
PHP = k·USD
Then the value of k is ...
PHP/USD = k = 12,451.60/350
k = 35.576
__
700 USD will convert to twice as much as 350 USD, so ...
700 USD = 700·35.576 PHP = 24,903.20 PHP
The constant of proportionality is 35.58. When you have 700 USD to convert, you will receive 24906.00 PHP.
Explanation:To find the constant of proportionality, we can use the formula:
k = y / x, where k is the constant of proportionality, y is the dependent variable (number of Philippine Pesos received), and x is the independent variable (number of US Dollars).
In this case, we have:
k = 12451.60 / 350 = 35.58 (rounded to 3 decimal places)
Now, to find the amount of PHP given 700 USD to convert, we can use the same formula:
PHP = k * USD
PHP = 35.58 * 700 = 24906.00 (rounded to 2 decimal places)
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how do you write a quadratic equation in standard form?
Answer:
Powers of the variable descending left to rightright side of the equal sign is 0Step-by-step explanation:
For some constants a, b, and c, the standard form* is ...
ax^2 + bx + c = 0
___
It is nice if the leading coefficient (a) is positive, but that is not required.
The main ideas are that ...
Powers of the variable are descendingAll of the non-zero terms are on the left side of the equal signLike terms are combined_____
* This is the standard form for a quadratic. For other kinds of equations, when the expression is equal to zero, this would be called "general form."
THIS IS URGENT HELPPPPP!!!!!!!!
What is the minimum value for g(x)=x^2−18x+79?
Answer:
(9,-2)
Step-by-step explanation:
hope i helped
What is the slope of this question?
Answer: the slope is 1 up or down and one left or right (if you go down its a left if you go up its a right)
Step-by-step explanation:
Answer:
Step-by-step explanation:
hello :
this line passes trought A(0,1) and B(-1,0) the slope is :
(YB - YA)/(XB -XA)
= (0-1)/(-1-0) = -1/-1=1
other solution : the slope is tan x when x the angle betwen x-axis and this line ...tanx = 5/5=1
Which expression represents another method of computing the product given below?6.15*(-3.11)
Answer:
The expression that represents another method of computing
Is
615/100*(-311/100)
Step-by-step explanation:
Given the expression in decimal form, we can convert this to factional form and perform product operations as an alternative computational method
6.15*(-3.11)= 19.13
In fraction 6.15 can be written as
615/100
In fraction -3.11 can be written as
-311/100
Hence The product can also be expressed as fractions
615/100*(-311/100)
Answer:
(6 x (-3.11)) + (0.15 x (-3.11))
Step-by-step explanation:
In the given expression, the term 6.15 can be written as follows.
6.15 = 6 + 0.15
Apply the distributive property.
6.15 x (3.11) = (6 x (-3.11)) + (0.15 x (-3.11))
So, another method of computing the given product is given by the following expression.
6 x (-3.11)) + (0.15 x (-3.11))
please do it fast
Which is most likely the correlation coefficient for the set of data shown?
–0.65
–0.19
0.19
0.75
Answer:
The answer is C. 0.19 I hope this helped you good luck!
Answer: C. 0.19 Hope this helps!
Plz help! Kenneth's back yard is in the shape of a rectangle with a length of 12 yards and a width of 10 yards.A bag of grass seed costs $25.99 and covers 400 square feet.How much did Kenneth spend on grass seed to cover his back yard?
Answer:
EASY! First we have to find the area of the back yard.
Step-by-step explanation:
[tex]A=12*10\\A=120[/tex]
So, we have to convert feet to yards(as it's in feet and we are doing our calculations in yards).
(And also, due to the fact it's squared, we have to square our coefficient as well).
The formula states we have to divide by 3, thus:
[tex]\frac{400}{3^{2} } =\frac{400}{9 }=44.444...[/tex]
Hmmm. Might be better if we do it the other way around. Might be simpler.
Thus:
[tex]120*9=1,080[/tex]
So then we divide 1,080 by 400, as the bag covers 400 feet
[tex]\frac{1080}{400} =2.7[/tex]
So, he needs 3 bags(as he cannot use two to cover the entire back yard). He will have a little left over, but that's okay, because he cannot buy 0.7 of a bag.
Then we multiply this by the cost!
[tex]3*25.99=77.97[/tex]
So, Kenneth would have to pay $77.97 and have a little left over!
Hope I did this right!
Hope this helps!
P.S. How are you doing during this shelter-in-place?
What is the value for b????
Answer:
the value is 60
Step-by-step explanation:
Answer:
60 degrees
Step-by-step explanation:
All interior angles in a triangle add up to 180. So if you have two already, just subtract both angles from 180 to get the last angle. The equation is:
65 + 55 + b = 180
120 + b = 180
-120 -120
___________
b = 60
Please help with this (Will mark brainliest if correct)
8.54
Simplest way to do it is using the Pythagorean Theorem
c^2 = a^2 + b^2
You want c. We can get a and b from the chart by seeing that the horizontal distance from A to B is 8 and the vertical distance is 3. Otherwise,
a = |-4| + 4 = 8, horizontal distance
b = |-5| + |-2| = 3, vertical distance
Then,
[tex]c = \sqrt{ {8}^{2} + {3}^{2} } = \sqrt{73} = 8.54[/tex]
Which job is NOT a typical work-study job?
A.working in your own business
B.working at campus library or bookstore
C.off-campus job related to your course study
D.serving in the dining hall
Answer:
I feel it is D as you are always on your feet and cant find time to study. That's my guess.
Step-by-step explanation:
Answer:
D. because a waitress doesn't necessarily have to study to work.
What is the area of this composite figure?
A figure is comprised of 2 rectangles. The rectangles are 10 feet by 6 feet, and 10 feet by 4 feet.
A. 12 feet squared
B. 80 feet squared
C. 88 feet squared
D. 100 feet squared
Answer:
The answer would be 88 ft squared
Step-by-step explanation:
If you make the shape into a rectangle it would be 100 and then subtract the amount that isn't filled in it would be 88.
The required area of the composite figure is 100 feet squared. The correct answer is option D.
What is surface area?
The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
To find the area of the composite figure, we need to add up the areas of the two rectangles.
The first rectangle has dimensions of 10 feet by 6 feet, so its area is:
10 ft × 6 ft = 60 ft²
The second rectangle has dimensions of 10 feet by 4 feet, so its area is:
10 ft × 4 ft = 40 ft²
The total area of the composite figure is:
60 ft² + 40 ft^2 = 100 ft²
Thus, the area of the composite figure is 100 feet squared. The correct answer is option D.
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Which of the following is the solution set of the equation shown below? 2x(x+3)-5(x+3)=0
To solve the equation 2x(x+3)-5(x+3)=0, distribute the terms within the parentheses and combine like terms. Then, use the quadratic formula to find the solutions of the quadratic equation.
Explanation:To solve the equation 2x(x+3)-5(x+3)=0, let's distribute the 2x and -5 into the terms inside the parentheses: 2x^2 + 6x - 5x - 15 = 0. Combining like terms, we get 2x^2 + x - 15 = 0. Now we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
In our case, a = 2, b = 1, and c = -15. Plugging these values into the quadratic formula, we get:
x = (-1 ± √(1^2 - 4(2)(-15))) / (2(2))
x = (-1 ± √(1 + 120)) / 4
x = (-1 ± √121) / 4
x = (-1 ± 11) / 4
So the two solutions are x = 10/4 and x = -12/4, which can be simplified to x = 5/2 and x = -3.
Question 5(Multiple Choice Worth 5 points)
(8.01 MC)
Two lines, C and D, are represented by the equations given below
Line C y = x + 14
Line D y = 3x + 2
Which of the following shows the solution to the system of equations and explains why?
O (6,20), because both lines pass through this point
O (6, 20), because the point does not lie on any axis
(3, 11), because one of the lines passes through this point
(3, 11), because the point lies between the two axes
Answer:
A is the correct answer have a nice day
Step-by-step explanation:
Answer: a is the answer
Step-by-step explanation:
Blake drew a circle with a circumference of 37.68 cm. What is the diameter of that circle?
Given Information:
Circumference of circle = C = 37.68 cm
Required Information:
Diameter of circle = D = ?
Answer:
Diameter of circle = [tex]D = 11.99[/tex] [tex]cm[/tex]
Step-by-step explanation:
We know that circumference of a circle is given by
[tex]C=2\pi r[/tex]
Where r is the radius of circle.
The relation between radius and diameter is given by
[tex]r = \frac{D}{2}[/tex]
Substitute r into above equation of circumference.
[tex]C=2\pi (\frac{D}{2} )[/tex]
[tex]C=\pi D[/tex]
[tex]D = \frac{C}{\pi}[/tex]
[tex]D = \frac{37.68}{\pi}[/tex]
[tex]D = 11.99[/tex] [tex]cm[/tex]
Therefore, the diameter of the circle is 11.99 cm
Answer:
Step-by-step explanation:
For all values of x, which expression is equivalent to 4(5x + 3) − 4x? A) 12x + 12 B) 16x + 12 C) 16x + 16 D) 32x + 12
Answer:
B) 16x + 12
Step-by-step explanation:
4(5x + 3) − 4x
= 20x + 12 - 4x
= 20x - 4x + 12
= 16x + 12
3. There is 1/4 of an apple in every container of fruit. Show the number of apples in 5 containers
using a fraction.
Answer:
Answer:
Step-by-step explanation:
Instead, you will use diagrams. To solve such a problem, you must produce a diagram which clearly shows all of the fractions involved in the ... between them have eaten five of the pieces, they have eaten 5/6 of the cake. We also see that ... counting numbers with M<N), then you must show the thing, show it clearly.
At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .51.
Find the probability that in a sample of 10 customers, at least 7 will order a nonalcoholic beverage.
Answer:
[tex]P(x\geq 7)=0.1886[/tex]
Step-by-step explanation:
The variable x, that said the number of customer that will order a nonalcoholic beverage in a sample of n customers follows a binomial distribution. Because we have n identical and independent events with a probability p of success and (1-p) of fail.
So, the probability that x customers will order a nonalcoholic beverage is:
[tex]P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}[/tex]
Where n is the size of the sample and p is the probability that a customer order a nonalcoholic beverage, so replacing the values, we get:
[tex]P(x)=\frac{10!}{x!(10-x)!}*0.51^{x}*(1-0.51)^{10-x}[/tex]
Now, the probability that at least 7 will order a nonalcoholic beverage is equal to:
[tex]P(x\geq 7)=P(7)+P(8)+P(9)+P(10)[/tex]
Where:
[tex]P(7)=\frac{10!}{7!(10-7)!}*0.51^{7}*(1-0.51)^{10-7}=0.1267\\P(8)=\frac{10!}{8!(10-8)!}*0.51^{8}*(1-0.51)^{10-8}=0.0494\\P(9)=\frac{10!}{9!(10-9)!}*0.51^{9}*(1-0.51)^{10-9}=0.0114\\P(10)=\frac{10!}{10!(10-10)!}*0.51^{10}*(1-0.51)^{10-10}=0.0011[/tex]
So, [tex]P(x\geq 7)[/tex] is equal to:
[tex]P(x\geq 7)=0.1267+0.0494+0.0114+0.0011\\P(x\geq 7)=0.1886[/tex]
Finally, the probability that in a sample of 10 customers, at least 7 will order a nonalcoholic beverage is equal to 0.1886