Answer:
The bike path
Step-by-step explanation:
A right triangle has a hypotenuse that can be found using the formula
a^2 + b^2 = c^2 where c is the hypotenuse
The street sign is obviously not correct because a hypotenuse is longer than the sides. The bathroom tile isn't correct either because 6^2 + 8^2 = 100, or 10 after you take the square root. That leaves the bike path.
Checking to make sure:
5^2 + 12^2 = c^2
25 + 144 = √169
√169 = 13
The scenario from the given scenarios involving a right triangle is: "A triangular bike path with lengths of 5 miles, 12 miles, and 13 miles", as the sides satisfy the Pythagoras theorem.
When do three given line segments form a right triangle?Any three line segments can form a right triangle only when they satisfy the Pythagoras Theorem, according to which, the square of the largest side in a right triangle is equal to the sum of the squares of the other two sides, that is, a² = b² + c², where a is the largest side, and b and c are the two other sides.
How to solve the given question?In the question, we are asked to identify from the given scenarios, the case that involves a right triangle.
We know that for three segments to be a right triangle, they need to satisfy the Pythagoras Theorem. So we check every scenario with the theorem:
A triangular bathroom tile with side lengths of 6 inches, 8 inches, and 12 inches: This is not a right triangle as it doesn't satisfy the Pythagoras theorem as (12² = 144) ≠ (6² + 8² = 36 + 64 = 100).A triangular bike path with lengths of 5 miles, 12 miles, and 13 miles: This is a right triangle as it satisfies the Pythagoras theorem as (13² = 169) ≠ (12² + 5² = 144 + 25 = 169).A triangular plot of land with side lengths of 10 yards, 10 yards, and 15 yards: This is not a right triangle as it doesn't satisfy the Pythagoras theorem as (15² = 225) ≠ (10² + 10² = 100 + 100 = 200).A triangular street sign with side lengths of 3 feet, 3 feet, and 3 feet: This is not a right triangle as it doesn't satisfy the Pythagoras theorem as all the sides are equal, so it is an equilateral triangle.∴ The scenario from the given scenarios involving a right triangle is: "A triangular bike path with lengths of 5 miles, 12 miles, and 13 miles", as the sides satisfy the Pythagoras theorem.
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While you are driving along westward at 55 mi./hr you doze for 1.5 seconds. How far have you traveled during your snooze?
Answer: 0.02291666
Step-by-step explanation:
divide 55 by 60 (minutes)
then by 60 again (seconds)
multiply by 1.5
there you go
The person travelled for 0.0229167 miles.
To calculate the distance, we have to multiply the speed by the time taken.
Distance = Speed × Time
Speed = 55 miles per hour.
Time taken = 1.5 seconds = 0.0004167 hours
Note that 3600 seconds = 1 hour
Therefore, 1.5 seconds = 0.0004167 hours
Then, the distance will be:
= Speed × Time
= 55 × 0.0004167
= 0.0229167 miles
The person travelled for 0.0229167 miles.
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On a coordinate plane, a line goes through (negative 3, 2) and (2, negative 1). A point is at (3, 0). What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)? 3x + 5y = −9 3x + 5y = 9 5x − 3y = −15 5x − 3y = 15
Answer:
5x -3y = 15
Step-by-step explanation:
First find the slope of the line through ( -3,2) and (2,-1)
m = (y2-y1)/(x2-x1)
=( -1-2)/(2--3)
= -3/(2+3)
= -3/5
We want a line that is perpendicular so the slopes will multiply to -1
m * -3/5 = -1
Multiply each side by -5/3
m * -3/5 * -5/3 = -1 *-5/3
m = 5/3
The slope of the perpendicular line is 5/3
We have a slope and a point
Using point slope form
y-y1 = m(x-x1)
y-0 = 5/3( x-3)
y = 5/3( x-3)
Distribute
y = 5/3x -5
Multiply each side by 3
3*y = 3(5/3x -5)
3y = 5x - 15
Subtract 5x from each side
-5x+3y = -15
Multiply each side by -1
5x -3y = 15
Answer:
D. 5x − 3y = 15
May I have brainliest please? :)
Solve the solution
15 - 2(3 - 2x) = 46
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf x = 9.25}}}}[/tex]Step-by-step explanation:
[tex] \sf{15 - 2(3 - 2x) = 46}[/tex]
Distribute 2 through the parentheses
⇒[tex] \sf{15 - 6 + 4x = 46}[/tex]
Subtract 6 from 15
⇒[tex] \sf{9 + 4x = 46}[/tex]
Move 9 to right hand side and change its sign
⇒[tex] \sf{4x = 46 - 9}[/tex]
Subtract 9 from 46
⇒[tex] \sf{4x = 37}[/tex]
Divide both sides of the equation by 4
⇒[tex] \sf{ \frac{4x}{4} = \frac{37}{4} }[/tex]
Calculate
⇒[tex] \sf{x = 9.25}[/tex]
Hope I helped!
Best regards!!
The solution of the given equation 15 - 2(3 - 2x) = 46 is x = 37/4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now the given equation is,
15 - 2(3 - 2x) = 46
Let us first expand the brackets ,
15 - 6 + 4x = 46
Now solving them we get,
9 + 4x = 46
Substracting by 9 both the sides of the equation we get,
⇒4x = 37
Dividing the equation by 4 we get
⇒x = 37/4
Hence,The solution of the given equation 15 - 2(3 - 2x) = 46 is x = 37/4.
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part 2 of the other set of questions i need help answering and explaning please!
Answer:
top answer is -23
bottom answer is -2
does anyone know this?
Answer:
[-10, 3]
Step-by-step explanation:
Hello!
To find the range of a graph you look at the lowest point and the highest point
The highest point is 3
The lowest point is -10
The range is [-10, 3]
Hope this helps!
Answer:
-10, 3
Step-by-step explanation:
high: 3
low: -10
the order of the 2 coordinates goes left or right, then up or down
( plz mark me as brainliest, that would be most appreciated! )
Find the first term and the common difference of the arithmetic sequence described. Give a recursive formula for the sequence. Find a formula for the nth term.
5th term is - 26, 16th term is 51
What is the first term of the sequence?
What is the common difference?
What is the recursive formula for the sequence?
an = ,-1+
What is the formula for the nth term
the sequence?
Enter your answer in each of the answer boxes
Answer:
27
Step-by-step explanation:
375 7579 779
If y=3/5x+26 find the value of y when x=12
Answer:
46
Explanationy = 3 /5x +26
y =?
X= 12
y=3 /5x + 26
y= 3 / 5 × 12 + 26
y = 3 / 60 + 26
y = 20 + 26
y = 46 ans
divide 28 cans of soda into two groups so the ratio is 3 and 4
Answer:
12 and 16 or 12:16
Step-by-step explanation:
The ratio is 3:4. You need the ratio to equal 28. If you multiply 4 by each one, you get:
3 times 4= 12
4 times 4= 16
12+16=28
algebra isn’t my best subject, please help
The Distributive property states that when we have the statement a(b + c), we can "distribute" the a by multiplying a times both terms that are inside the parenthses.
So in this problem, 2(5 + 7) can be simplified by distributing the
2 through both terms that are inside the set of parenthses.
So we have (2 · 5) + (2 · 7).
Answer:
Distributive Property
Step-by-step explanation:
You are distributing the 2 to the 5 and 7. which goes from 2(5+7) to 10+14.
What is the slope of a line between (-17,6)and (-18,11)
Answer:
m = -5
Step-by-step explanation:
m = (y₂ - y₁) / (x₂ - x₁)
m = (11 - 6) / (-18 - ( -17))
m = 5 / (-18 + 17)
m = 5 / -1
m = -5
Bottle A can hold 3L more juice than bottle B. Bottle D can hold 5L more juice than bottle A. Bottle C can hold 3L less juice than bottle A.
Answer:
This may be incomplete, i will try to answer this in a general way.
We have 4 bottles, A, B, C and D.
If A is the volume of Bottle A, B is the volume of bottle B, C is the volume of bottle C, and D is the volume of bottle D, we have that:
A = B + 3L.
D = A + 5L
C = A - 3L.
Let's solve this system the most we can (we can not fully solve the system because we have more variables than equations)
First, taking the third equation and adding 3L in both sides, we have:
C + 3L = A.
This is equivalent to the first equation, so we have that C = B.
now, we have two equations:
A = B + 3L
D = A + 5L
We can replace the first equation into the second equation and get:
D = A + 5L = (B + 3L) + 5L = B + 8L
So bottle D can hold 8L more juice than bottle B (and because bottle B and bottle C have the same volume, bottle D can hold 8L more juice than bottle C)
Now, we can order the bottles depending on the volume:
Bottle D is the one with larger volume.
Bottle A comes next.
Bottles C and B are the smaller ones, and they are together because they have the same volume.
what is the gcf of of -9y^2 + 6y
Answer:
3y
Step-by-step explanation:
First find the factors of the terms. You need to then figure out how many factors match.
-9y² = -1 · 3 · 3 · y · y
6y = 2 · 3 · y
3y is the greatest common factor.
How can I identify witch of those numbers don’t belong with the other there 50.1 -50 over two -50.1 square root of 50?
I'm assuming you were given these four values
50.1, -50/2, -50.1, sqrt(50)
where 'sqrt' stands for 'square root', and the slash symbol means divide or fraction.
If my assumption is correct, then the term that does not belong is sqrt(50). This is because the other values are all rational. We can express them as a fraction of two whole numbers
50.1 = 501/10-50/2 is already a fraction, no need to do any work for this one-50.1 = -501/10But we can't do the same with sqrt(50). It is irrational. Note how 50 is not a perfect square. Your calculator will show that sqrt(50) = 7.07106781186548 and that decimal sequence goes on forever without any pattern. If you were given sqrt(49), then it would work because sqrt(49) = 7 = 7/1.
Rectangle PQRS has vertices at P-2,5), Q44,5), R(4, -1), and S(-2,-1). What is the area, in square units, of rectangle PQRS? 21 b 35 36 40
Answer:
36 square units.
C
Step-by-step explanation:
Please refer to the provided graph.
So we want to figure out the area of the rectangle. To do so, we simply need to figure out the base and height of the rectangle. We can then multiply them together to acquire the area.
From the graph, we can see that if we find the length of SR and SP, we can use the the base and height, respectively.
Now, we just have to find there lengths. Technically, we could just count. However, I'm going to use the distance formula.
the distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Find the length of SR:
Point S is (-2,-1) while Point R is (4,-1). Let (-2,-1) be x₁ and y₁ and (4,-1) be x₂ and y₂. Therefore:
[tex]d=\sqrt{(4-(-2))^2+(-1-(-1))^2}\\d=\sqrt{(6^2)+(0)^2} \\d=\sqrt{36}=6[/tex]
So, SR is 6.
Now, find the length of SP:
Point S is (-2,-1) while Point P is (-2,5). Let Let (-2,-1) be x₁ and y₁ and (-2,5) be x₂ and y₂. Therefore:
[tex]d=\sqrt{(-2-(-2))^2+(5-(-1))^2}\\d=\sqrt{0^2+6^2}\\ d=\sqrt{36}=6[/tex]
Therefore, SP is also 6.
Now, the area for a rectangle is:
[tex]A=bh[/tex]
Plug in 6 for the base and 6 for the height:
[tex]A=6(6)\\A=36\text{ units}^2[/tex]
Derrick does 29 push-ups in the morning and 36 more push-ups in the evening. If he does the same number of push-ups every day of the week for 4 weeks, about how many push-ups will he do in all?
29 + 36 = 65 total pushups per day.
Multiply pushups per day by 7 days per week:
65 x 7 = 455 total pushups per week
Multiply pushups per week by number of weeks:
455 x 4 weeks = 1,820 total pushups.
Write the equation
y + 5 = 4(x + 2)
in slope intercept form
(y mx + b).
Answer:
y = 4x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b
Given
y + 5 = 4(x + 2) ← distribute the parenthesis
y + 5 = 4x + 8 ( subtract 5 from both sides )
y = 4x + 3 ← in slope- intercept form
Find the volume for the following composite object.
Answer:
[tex] Volume = 7440.16 ft^3 [/tex]
Step-by-step explanation:
Volume of the composite object = volume of cylinder - volume of rectangular prism
Volume of the composite object = πr²h - whl
where,
π = 3.14
r = 14 ft
h = 14 ft
w = 6 ft
l = 14 ft
[tex] Volume = (3.14*14^2*14) - (6*14*14) [/tex]
[tex] Volume = 8616.16 - 1176 [/tex]
[tex] Volume = 7440.16 ft^3 [/tex]
Melissa was charged $3 each time she
used the ATM at work. She used the
work ATM 24 times in a month. By how
much did her bank account change from
using the ATM at work?
Answer:
Therefore, Melissa will be charged $72 for busing work ATM 24 times in a month
Step-by-step explanation:
Melissa was charged $3 each time she used the ATM at work
She used the work ATM 24 times in a month.
Charge per usage= $3
Number of times of usage= 24
By how much did her bank account change from using the ATM at work
Total charges = charge per usage × Number of times of usage
= 3 × 24
= 72
Total charges = $72
Therefore, Melissa will be charged $72 for busing work ATM 24 times in a month
How to solve -3 + 10 - 1
Answer:
6
Step-by-step explanation:
-3+10-1
10-4
=6
hope this helps
Answer:
6
Step-by-step explanation:
You can add -3 and -1 to make -4 and subtract from 10.
-3-1+10= 6
a fence 2.4m tall,is 10m away from a tree of height 16m.calculate the angle of elevation of the top of the tree from the top of the fence
Answer:
53.67⁰
Step-by-step explanation:
Give the height of the fence to be 2.4 m tall
Height of the tree = 16m
Horizintal distance from the fence to the tree = 10m
Check the diagram in the attachment.
From the attachment, we will need to first calculate the height AB
AC = AB+BC
Given AC = height of the r=tree = 16m
BC is the height of the fence = 2.4m
16 = AB + 2.4
AB = 16-2.4
AB = 13.6m
Using the SOH CAH TOA trig identity on right angled triangle AEB with AB as the opposite and AB and the adjacent as BE
Using TOA;
tan ∝ = opposite/adjacent = AB/BE
∝ is the angle of elevation of the top of the tree from the top of the fence.
tan∝ = 13.6/10
tan∝ = 1.36
∝ = tan⁻¹1.36
∝ = 53.67⁰
Hence the angle of elevation of the top of the tree from the top of the fence is 53.67⁰
what is the value of y^0
Answer:
1
Step-by-step explanation:
Any number that is raised to the power of 0 is 1.
1^0 = 1
323^0 = 1
k^0 = 1
Hope that helped!!! k
|-12+3|= simply the expression
Answer:
|-12+3|=9
Step-by-step explanation:
Hello, -12+3=-9 and then we have to take the absolute value of -9, which is 9.
Thank you
Answer:
9
Step-by-step explanation:
|-12+3|
|-9|
9
please help on 19 and 20
Answer:
c and d
Step-by-step explanation:
Answer:
C AND D
Step-by-step explanation:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
you will use 2 operations when doing algebra. true or false
Answer:true
You will be using 2 operations
(6+a) divided by 5 -2
Answer:
(6+a)/3
Step-by-step explanation:
(6+a)/5-3
5-3=2
(6+a)/2
Which of the following characteristics of experiments are also characteristics of surveys? Check all that apply.
A. Data are gathered during the course of the study.
B. The study involves one or more treatment groups and a control group.
C. The study compares two or more treatments (possibly including no treatment")
D. Replication with different groups of subjects can improve the reliability of the study.
E. Statistical analysis is applied to the results of the study.
Answer: The best answers are :
A Data are gathered during the course of the study E. Statistical analysis is applied to the results of the studyD. Replication with different groups of subjects can improve the reliability of the study.Step-by-step explanation:
I hope it helps :)
Answer:
a and c
Step-by-step explanation:
Tickets for a concert cost $2 for children, $3 for students, and $4 for adults. Ticket sales totaled $522 and 177 people attended the concert. Twice as many students as adults attended. Find how many of each type of ticket were sold. Assume that everyone who bought a ticket attended the concert.
Answer:
Children = 51
Adults = 42
Students= 84
Step-by-step explanation:
Children = $2
Students = $3
Adults = $4
Total sales = $522
Total people who attended = 177
Adults =a
Students = s= 2a
Children = c
c+s+a = 177 (1)
2c+3s+4a=522 (2)
Substitute s=2a into the equations
c + 2a + a = 177
c + 3a = 177 (3)
2c + 3(2a) + 4a = 522
2c + 6a + 4a = 522
2c + 10a = 522 (4)
c + 3a = 177 (3)
2c + 10a = 522 (4)
Multiply (3) by 2
2c + 6a = 354 (3b)
2c + 10a = 522
Subtract (3b) from (4)
10a - 6a = 522 - 354
4a = 168
Divide both sides by 4
a= 168/4
= 42
a= 42
s= 2a
= 2(42)
= 84
s= 84
Substitute the value of s and a into (1)
c+s+a = 177 (1)
c + 84 + 42 = 177
c + 126 = 177
c = 177 - 126
= 51
c=51
Children = 51
Adults = 42
Students= 84
C. How do the processes you used for
parts A and B differ? How are they the same?
Answer:
Original Medicare comes in two parts. Medicare Part A covers hospital services, skilled nursing facility care, hospice, and some home health care. Medicare Part B covers medical services, including doctor visits, preventive screenings, certain vaccinations, lab tests, and durable medical equipment.
can anyone plz help?
Answer:
89.76 yd^2
Step-by-step explanation:
The area is given by
A = bh
A = 10.2 * 8.8
A =89.76 yd^2
find the common ratio of the gemetric sequence -320, 80, -20, 5
Answer:
- 0.25
Step-by-step explanation:
Common ratio
[tex]r = \frac{succeeding \: term}{preceding \: term} \\ = \frac{80}{ - 320} \\ = - \frac{1}{4} \\ = - 0.25[/tex]
Given that :-
Geometric sequence → -320,80,-20,5
To find :-
Common ratio .
Solution :-
Common ratio = ar/a
→ Here a = -320
→ ar = 80
→ Common ratio = 80/-320
→ Common ratio = -1/4Let's check it →
Taking a = 80 and ar = -20
→ Common ratio = -20/80
→ Common ratio = -1/4So common ratio will be -1/4