Answer:
9.4 miles
Step-by-step explanation:
We can assume that if these joggers run 8 miles north, consecutively 5 miles west, these lengths form legs of a right angle triangle, from which we have to determine the hypotenuse of the triangle provided it would lead to the shortest route possible;
Knowing this is a right angle triangle, let us apply Pythagorean Theorem to solve for the length of this hypotenuse, which we can assign as x;
8^2 + 5^2 = x^2 ⇒ square 8 and 5,
64 + 25 = x^2 ⇒ Combine like terms,
x^2 = 89 ⇒ Take square root on either side
Solution; Shortest Distance ⇒ length of 9.4 miles
Solve similar triangles can someone please answer
Answer:
Step-by-step explanation:
[tex]\frac{XY}{PQ}=\frac{YZ}{QR}\\\\\frac{19.5}{6.5}=\frac{10.5}{k}\\\\[/tex]
Cross multiply,
19.5*k = 10.5 * 6.5
[tex]k =\frac{10.5*6.5}{19.5}\\\\k=3.5[/tex]
What are the coordinates of the x-intercept(s) of the graph of y=(x-6)(x+5)
Answer:
(-5 , 0) and (6 , 0)
Step-by-step explanation:
In order to get the coordinates of the x-intercept(s) of the graph of y=(x-6)(x+5)
we need to solve for x the equation (x-6)(x+5) = 0
(x-6)(x+5) = 0
⇌
x - 6 = 0 or x + 5 = 0
⇌
x = 6 or x = -5
therefore
the coordinates are :
(-5 , 0) and (6 , 0)
__________________________
:)
What is slope? Provide two examples of realistic situations where slope manifests itself. In each example make sure to state what units the slope is expressed in.
Answer:
1. A slope is a surface of which one end or side is at a higher level than another; a rising or falling surface.
"he slithered helplessly down the slope"
Some real life examples of slope include: in building roads one must figure out how steep the road will be. skiers/snowboarders need to consider the slopes of hills in order to judge the dangers, speeds, etc. when constructing wheelchair ramps, slope is a major consideration.
Express 0.82 as a percent
Answer:
82%
Step-by-step explanation:
The height of players on a football team is normally distributed with a mean of 74 inches, and a standard deviation of 1 inch. If there are 50 football players on the team, how many are less than 74 inches tall?
Answer:
Step-by-step explanation:
Let x be the random variable representing the height of players on the football team. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = standard deviation
n = number of samples
From the information given,
µ = 74 inches
σ = 1 inch
n = 50
x = 74 inches
the probability that a player is less than 74 inches tall is expressed as
P(x < 74)
For x = 74,
z = (74 - 74)/(1/√50) = 0
Looking at the normal distribution table, the probability corresponding to the z score is 0.5
Therefore,
P(x < 74)
The players less than 74 inches is
0.5 × 50 = 25 players
Enter the slope intercept equation of the line shown below
Answer:
y = -x + 1
Step-by-step explanation:
you know that it must be y = mx + b form so you know that b is the y-intercept and the only time it touches is on positive one so you know it needs a positive one. then to find the slope you need to use the two points that are given. Rise/Run(rise over run) it only goes up one and over -1 so divide and you get -1 for the slope.
hope this helps!
Find the percent of decrease from 84 gallons to 45 gallons. Round to the nearest tenth of a percent if necessary.
Answer:
0.5
Step-by-step explanation:
45/84=0.5357142857142857
1-0.5357142857142857=0.4642857142857143
Answer:
= 46%
Step-by-step explanation:
● Original = 84 gallons
● New = 45 gallons
● Decrease = 84 - 45 = 39 gallons
If 84 gallons = 100%
What about 39 gallons = ?
= (39 x 100) ÷ 84
= 3900 ÷ 84
= 46.42
= 46%
Juan uses 1/5 liter to water a small plant and uses 1/2 liter to water a large plant now he has 2/10 liters left in a pitcher how much did Juan have in the beginning
Answer:
9/10
Hope this helps :)
The value of V-16 is not-4 because
O A. 1624
B. (-16) 2-4
C. 42 16
O D. (-4)2 = -16
Answer:
b plz mrk brainly
Step-by-step explanation:
Write a function with no horizontal shift for the sinusoid shown.
We have been given graph of a sinusoidal function. We are asked to write function formula for our given graph.
We know that [tex]\sin(0)=0[/tex] and [tex]\cos(0)=1[/tex]. We can see that our given function is starting at origin, so our graph is sine function.
We know that general form of sine is [tex]y=A\sin[B(x-c)]+D[/tex], where,
A = Amplitude,
Period: [tex]\frac{2\pi}{B}[/tex]
C = Horizontal shift,
D = Vertical shift.
We have been given that function has no horizontal shift, so the value of C is 0.
We can also see that midline of our function is x-axis, so there is no vertical shift as well that is [tex]D=0[/tex].
We can see that function goes up to 1 from midline and goes down to [tex]-1[/tex] from midline, so amplitude of function is 1 that is [tex]A=1[/tex].
We can see that period of our given function is [tex]4\pi[/tex] because it completes one cycle from [tex]-\pi[/tex] to [tex]3\pi[/tex]
[tex]4\pi=\frac{2\pi}{B}[/tex]
[tex]B=\frac{2\pi}{4\pi}=\frac{1}{2}[/tex]
[tex]y=\sin(\frac{1}{2}x)[/tex]
We can see that our function is reflected about x-axis, so our function will be [tex]y=-f(x)[/tex].
[tex]y=-\sin(\frac{1}{2}x)[/tex]
Therefore, our required function is [tex]y=-\sin(\frac{1}{2}x)[/tex].
A used car dealer prices her cars so that she makes a minimum profit of 15% on each car sold. If she acquired a car for $4,500, which inequality can be used to determine the acceptable selling prices, p, of that car? 1.15 p less-than-or-equal-to 4,500 1.15 p greater-than-or-equal-to 4,500 p less-than-or-equal-to 1.15 (4,500) p greater-than-or-equal-to 1.15 (4,500)
Answer:
[tex]p\geq 1.15(4,500)[/tex]
Step-by-step explanation:
If she makes a minimum profit, we need to use the symbol [tex]\geq[/tex], which indicates minimum quality.
Let's call [tex]p[/tex] profit, so the inequality which represent this problem would be
[tex]p\geq 1.15(4,500)[/tex]
The price of the car is multiplied by 1.15, because she must add her profit comission which is 0.15 or 15%.
Therefore, the right answer is the last choice.
Answer:
D
Step-by-step explanation:
i did the same thing
Yesterday, two friends went into a bank to open savings accounts. Megan started by putting $80 in her account, and she will deposit an additional $15 each week. Noah made no initial deposit, but he will add $25 more each week. In a few weeks, the friends will have the same account balance.
Answer:
8 weeks
Step-by-step explanation:
We are to find the number of weeks that they will have the same account balance.
Let the number of weeks be x.
Megan started by putting $80 in her account, and she will deposit an additional $15 each week. This means after x weeks, she will have:
80 + 15x
Noah made no initial deposit, but he will add $25 more each week. After x weeks, he will have:
25x
To find the number of weeks for their amounts to be the same, we equate their amounts to one another:
80 + 15x = 25x
Collexting like terms and solving for x:
80 = 25x - 15x
80 = 10x
=> x = 80 / 10 = 8 weeks
After 8 weeks, the money in their accounts will be the same.
Which of the following is a binomial with degree 4?
A. 4x4 − 5x3 + 2x2 − x + 1
B. 3x4 + 1
C. 4x − 3
D. A binomial cannot have degree 4.
Answer:
the answer is A
Step-by-step explanation:
hope it's help
Crunch Bunch cereal boxes come in two sizes. The mini cereal box of Crunch Bunch is a reduction of the standard box.
Answer:
Despite the full question not being in place the anwser your looking for is 10 inches.
Answer:
10 inches
Step-by-step explanation:
Find the approximate height of the cylinder. Use 3.14 for π.
Volume = 146.952 cm3 A cylinder is shown. The diameter is labeled six centimeters.
Answer: The height is 5.2 cm.
Step-by-step explanation:
146.952 = n r^2 h
146.952= 3.14 * 9 *h
146.952= 28.26 h divide both sides by 28.26
h = 5.2
f(x) = 2(x − 5), find f(8).
Answer:
6
Step-by-step explanation:
f(8)=2(8-5)
f(8)=2(3)
f(8)=6
have a great day
The table shows Peter's net worth statement. Assets are shown as positive numbers, and liabilities are shown as negative numbers. The value of Peter's house is not given. Peter's net worth is $101,800. Based on the information in the table, what is the current value of Peter's house?
Answer:
Value of House = $98000
Step-by-step explanation:
The sum of all of the assets and liabilities + value of the house = $101,800
Value of House + $900 - $3400 + $16900 - $16300 + $4500 + $1200 = $101,800
=> Value of House + $3800 = $101,800
=> Value of House = $101,800 - $3800
=> Value of House = $98000
The current value of Peter's house will be $98000.
A table is given which shows Peter's net worth and assets are shown as positive numbers, and liabilities are shown as negative numbers.
We have to find out the current value of Peter's house if , Peter's net worth is $101,800.
What will be the resulting value ; 35 - 10 - 5 + 10 = ?
The resulting value will be 30.
As per the question ;
The sum of all of the assets and liabilities plus value of the house is equal to $101,800.
Assume value of house = x
⇒ x + $900 - $3400 + $16900 - $16300 + $4500 + $1200 = $101,800
⇒ x + $3800 = $101,800
⇒ x = $101,800 - $3800
⇒ x = $98000
Thus , the current value of Peter's house will be $98000.
To learn more about algebra click here ;
https://brainly.in/question/6577457
#SPJ2
Find the obsolete value
l-9l 2. l64l 3. l-22l
Answer:
see below
Step-by-step explanation:
The absolute value means take the non negative value
l-9l = 9
l64l =64
l-22l=22
Answer:
1. 9 2. 64 3. 22
Step-by-step explanation:
The obsolute value is how far away the number is from zero
For example:
I-94I is 94
but
-I94I is -94
if the negative is outside the equation then its a negative
What would be the mass of 234 ml of water??
Answer:
0.233298 kg is the mass of 234 ml of water
Step-by-step explanation:
Mathematically,
mass = density * volume
henry, to get the mass of that volume, we shall need to multiply it by the density of water.
The density of water is 997 kg/m3
To achieve consistency in units, we shall convert 234 ml to m3
Mathematically 1ml = 1 * 10^-6 m^3
Thus, 234 ml = 234 * 10^-6 m^3
Therefore the mass of water will be = 234 * 10^-6 * 997 = 0.233298 kg
In the diagram below of circle O, OB and OC are radii, and chords AB, BC,
and AC are drawn.
B
С
Which statement must always be true?
1) ZBAC & ZBOC
2) MZBAC -
3) ABAC and ABOC are isosceles.
4) The area of ABAC is twice the area
of ABOC.
m_BOC
Answer:
It would be number 2. measure of angle BAC is equal to half the measure of angle BOC.
Step-by-step explanation:
This is because of inscribed angles.
In the diagram below of circle O, OB and OC are radii, and chords AB, BC, and AC are drawn. The correct statement is B. m < BAC = 1/2 m < BOC.
How to explain the circle?From the information given, (a + b) + (a + c) + (b + c) = 180°
2a + 2b + 2c = 180°
2a + 2b = 180° - 2c
2(a + b) = 180° - 2c
Therefore, m < BAC = 1/2 m < BOC.
In conclusion, the correct option is B.
Learn more about circle on:
brainly.com/question/24375372
#SPJ2
What is the value of x
Answer: 0
Step-by-step explanation:
Evaluate for x =64
64 − 64
Answer:
x=29
Step-by-step explanation:
The first triangle:the unknown angle is 58°
180°-58=122
122+2x=180
2x=180-122
2x=58
x=58/2=29°
For what value of b, would the equation 34(12x−9)+b4=5−3(2−3x) have infinitely many solutions? Enter the numerical value only
Answer:
23/16
Step-by-step explanation:
i looked it up on a website and got this question right on my test
The given expression is a linear function and has a unique solution.
Given,
For what value of b, would the equation 3/4(12x−9)+b/4=5−3(2−3x) have infinitely many solutions?
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.
Here,
3/4(12x−9)+b/4=5−3(2−3x)
12x - 27 / 4 + b / 4 = 5 - 6 + 9x
12x - 9x = -1 + 27/4 - b / 4
3x = 23 - b / 4
Here the expression is a linear function of x, so the expression has a unique solution not infinitely many solutions.
Thus, the given expression is a linear function and has a unique solution.
Learn more about function here:
brainly.com/question/21145944
#SPJ6
Tenemos tres tipos de aceites, 5000 l de aceite tipo A, 2500 l de aceite tipo B y 245 l de aceite tipo C. Si los quiero envasar en recipientes de igual capacidad y los mas grandes posibles, ¿cuántos recipientes necesito?
Answer:
5 liters.Step-by-step explanation:
To solve this problem, we need to find the Greatest Common Factor (GCF) which is the greater factor possible in common for all three numbers 5000, 2500 and 245 liters.
5,000 | 2
2,500 | 2
1,250 | 2
625 | 5
125 | 5
25 | 5
5 | 5
1
So, [tex]5,000 = 2 \times 2 \times 2 \times 5 \times 5 \times 5 \times 5[/tex], [tex]2,500 = 2 \times 2 \times 5 \times 5 \times 5 \times 5[/tex]
245 | 5
49 | 7
7 | 7
1
[tex]245 = 5 \times 7 \times 7[/tex]
As you can observe, the greatest common factor is 5, because it's the greater number in common for all three numbers.
Therefore, the greatest recipient possible must be 5 liters capacity.
what is the difference between very crowded and rowdy
Answer:
Crowded means full of people
Rowdy means noisy and disorderly.
Crowded and Rowdy are adjectives.
A company is designing a new cylindrical water bottle. The volume of the bottle will be 230 cm cubed 3. The height of the water bottle is 7.3 cm. What is the radius of the water bottle? Use 3.14 for π.
Answer:
Step-by-step explanation:
I don't say you have to mark my ans as brainliest but if it has really helped you plz don't forget to thank me...
A graph shows the horizontal axis numbered 2 to 8 and the vertical axis numbered 10 to 50. A line increases from 0 to 4 then decreases from 4 to 9. Which type of function best models the data shown on
Answer:
quadratic
Step-by-step explanation:
The Quadratic function is the best models for the given graph.
What is quadratic function?A quadratic function is a "polynomial function with one or more variable in which highest exponent of variable is two".
According to the question,
Horizontal axis or x-axis quadratic function of numbered 2-8 and vertical axis or y-axis quadratic function numbered to 10-50.
In order to find the best models function is quadratic function.
f(x) = ax²+bx+c a < 0
Domain = All real numbers
Range y ≤ f(-[tex]\frac{b}{2a}[/tex])
Increases on left of x = -[tex]\frac{b}{2a}[/tex]
Decreases on right of x = -[tex]\frac{b}{2a}[/tex]
The vertex of the parabola lies on the axis of the parabola so the graph of the quadratic function increases on one side axis and decreases on the other side.
Learn more about quadratic function here
https://brainly.com/question/15995509
#SPJ2
The population of a town is growing at a rate of 2.1% per year. Given a starting population of 40,000 people, when will the population double?
Answer:
48 years
Step-by-step explanation:
an object is translated by (x + 4, y - 2). If one point in the image has the coordinates (5 , -3), what would be the coordinates of it’s pre-image?
Answer: (9,-5)
Step-by-step explanation:
(5+4,-3-2)= (9,-5)
Find the solution to x^2+2=27
Answer:
x = 5
Step-by-step explanation:
x^2 +2 = 27
x^2 = 27 - 2
x^2 = 25
x = [tex]\sqrt{25\\\\}[/tex]
x = 5
Answer: x equals 5
Step-by-step explanation:
27 minus 2 is 25, the square root of 25 is five.
Bobby catches 8 passes in 3 football games. At this rate how many passes dose he catch in 15 games?expine
Answer: 40
Step-by-step explanation:
I can see the answer is 40, but let's try to figure out how to do it.
I like to use the rule of 3. Let's put the number of passes on the left side and the number of games on the right side.
[tex]\frac{8}{x}=\frac{3}{15}[/tex]
''x'' represents the number of passes in 15 games.
Solve for x;
[tex]x=\frac{15*8}{3}\\ x=\frac{120}{3}\\ x=40[/tex]