The speed of car moving towards south exists 15 mph and, speed of (as moving towards East = 25 mph.
What is meant by intersection ?They are referred to be intersecting lines when two or more lines in a plane cross each other. The point of intersection, which can be found on all intersecting lines, is the common point shared by the intersecting lines.
Let speed of Car 1 = x mph
Speed of car 2 = (x + 10) mph
Hence,
OA = Distance travelled by car2 in 2 hours
⇒ OA = (x + 10) × 2 = 2x + 20
And, OB = Distance travelled by Car 1 in 2 hours
⇒ OB = x × 2 = 2 x
Now, In ΔOAB, OA² + OB² = AB²
substitute the values in the above equation
⇒ (2 x+20)² + (2 x)² = [tex](10 \sqrt{34})^2 \\[/tex]
⇒ 4x² + 400 + 80x + 4x² = 3400
simplifying the equation
⇒ 8x² + 20x - 3000 = 0
⇒ x² + 10x - 375 = 0
⇒ x² + 25x - 15x - 375 = 0
simplifying the above equation, we get
⇒ x(x + 25) - 15(x + 25) = 0
⇒ (x + 25)(x - 15) = 0
⇒ x + 25 = 0, x - 15 = 0
⇒ x = -25, x = 15
Since speed can not be negative.
Hence, x = 15 mph
⇒ x + 10 = 15 + 10 = 25 mph.
Hence, speed of car moving towards south =15 mph.
And, speed of (as moving towards East = 25 mph.
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The speed of car moving towards south exists 15 mph and, speed of (as moving towards East = 25 mph.
What is meant by intersection ?When two or more lines in a plane cross one another, they are referred to as intersecting lines. The common point shared by all intersecting lines is the point of intersection, which can be found on all of them.
What do you mean by Speed?The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
Let speed of Car 1 = x mph
Speed of car 2 = (x + 10) mph
Hence,
OA = Distance travelled by car2 in 2 hours
⇒ OA = (x + 10) × 2 = 2x + 20
And, OB = Distance travelled by Car 1 in 2 hours
⇒ OB = x × 2 = 2 x
Now, In ΔOAB, OA² + OB² = AB²
substitute the values in the above equation
⇒ (2 x+20)² + (2 x)² =
⇒ 4x² + 400 + 80x + 4x² = 3400
simplifying the equation
⇒ 8x² + 20x - 3000 = 0
⇒ x² + 10x - 375 = 0
⇒ x² + 25x - 15x - 375 = 0
simplifying the above equation, we get
⇒ x(x + 25) - 15(x + 25) = 0
⇒ (x + 25)(x - 15) = 0
⇒ x + 25 = 0, x - 15 = 0
⇒ x = -25, x = 15
Since speed can not be negative.
Hence, x = 15 mph
⇒ x + 10 = 15 + 10 = 25 mph.
Hence, speed of car moving towards south =15 mph.
And, speed of (as moving towards East = 25 mph.
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The angle of a triangle are 3x (4x+1) and (6x-3), find the value of x.
X=14
[tex]3x + 4x + 1 + 6x - 3 = 180 \\ 13x - 2 = 180 \\ 13x = 182 \\ x = 14[/tex]
Evaluate the radical.
(Look at the photo)
Enter your answer in the box.
Answer:
3
Step-by-step explanation:
This is a cube root so think what times what times what is 27?
3 x 3 x 3 = 27 so the answer is 3
Same problem explained
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Very helpful website check it out
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Please help me on this
Answer:
18: D
19: D
20: B
find the surface area
Answer:
12?
Step-by-step explanation:
Answer:
2x5=10 + 4x3=12 +12 total 34
Step-by-step explanation:
HOPE THIS HELPS!!!!!!!!!
HAVE A AWESOME DAY!!!!!
Factor 4x^2 - 4x - 24
Answer:
4(x - 3)(x + 2)
Step-by-step explanation:
Given
4x² - 4x - 24 ← factor out 4 from each term
= 4(x² - x - 6) ← factor the quadratic
= 4(x - 3)(x + 2)
[tex] \huge\boxed{ \underline{ \mathbf{Answer :}}}[/tex]
[tex]\hookrightarrow4 {x }^{2} - 4x - 24[/tex]
[tex]\hookrightarrow4 {x}^{2} - 12x + 8x - 24[/tex]
[tex]\hookrightarrow4x(x - 3) + 8(x - 3)[/tex]
[tex]\hookrightarrow(4x + 8)(x - 3)[/tex]
How many permutations are there of all the letters in each name?
a) Inverary
b) Beamsville
c) Mattawa
d) Penetanguishene
Permutations for each word can be calculated by considering the number of unique letters in it and taking factorial of it.
a) Inverary: There are 8 letters in the name "Inverary" (I, N, V, E, R, A, R, Y), so there are 8! (8 factorial) permutations of all the letters in the name. This equals 40320 permutations.
b) Beamsville: There are 9 letters in the name "Beamsville" (B, E, A, M, S, V, I, L, E), so there are 9! (9 factorial) permutations of all the letters in the name. This equals 362880 permutations.
c) Mattawa: There are 7 letters in the name "Mattawa" (M, A, T, T, A, W, A), so there are 7! (7 factorial) permutations of all the letters in the name. This equals 5040 permutations.
d) Penetanguishene: There are 14 letters in the name "Penetanguishene" (P, E, N, E, T, A, N, G, U, I, S, H, E, N), so there are 14! (14 factorial) permutations of all the letters in the name. This equals 87178291200 permutations.
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If a scuba diver swam from the surface at −12 1/2 feet per minute, for 4 1/2 minutes, what would be the diver’s change in elevation?
The change in elevation would be -225/4 feet
What is a mixed fraction?A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, and 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.
Given here, Speed of scuba diver as -12¹/₂=-25/2 and time in minutes 4¹/2=9/2
Thus distance traversed -25/2 × 9/2 = -225/4
Hence, the change in elevation is -225/4 feet
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A florist sells a bundle of 12 sunflowers for $9. You can also buy single sunflowers at the same rate. Fill in the table below
Number of sunflowers: Cost ($): Unit rate ($ per sunflower):
2
4
6
8
10
12
Answer:
3$:4
Step-by-step explanation:
12/3= 4 9/3= 3
3$:4
can someone help me pleaseeee????
Answer:
CA=20 CD=20
AB=23 DE=23
BC=29 EC=29
Step-by-step explanation:
Four different linear functions are represented below. Drag the representation of each function into order from greatest y -intercept to least y -intercept.
Answer:
Descending order intercept : y = 5x + 4 , y = 4x + 3 , y = 3x + 2 , y = 2x + 1
Step-by-step explanation:
Linear Equations are in form of 'y = mx + b'.
Here, b is y intercept & it represents autonomous ie constant value of y irrespective of value of x. And, m represents slope ie change in y due to change in x.
Eg : 'y = 2x + 1' has least y intercept ie common autonomous value ie 1. y = 3x + 2 , y = 4x + 3 , y = 5x + 4 ; these have higher & higher y intercepts respectively.
Arrangement from greatest to highest intercept (descending order of intercept) of above : y = 5x + 4 , y = 4x + 3 , y = 3x + 2 , y = 2x + 1
Answer:
Can you add a picture there is like 10 of these on imagine math
Step-by-step explanation:
Thank you
I neeeeeeed helpppppp
An informal survey was taken at a farmer’s market. People were asked whether they liked carrots, turnips, or both. The results are shown in the Venn diagram.
A circle labeled carrots 84 overlaps a circle labeled turnips 25. Overlap is labeled 17. 4-column table with 3 rows. First column has no label with entries carrots, not carrots, total. Second column is turnips with entries a, b, blank. Third column is not turnips with entries 60%, blank, blank. Fourth column is labeled total with entries blank, blank, 100%.
What are the values of a and b in the relative frequency table for the survey results? Round answers to the nearest percent.
a = 12%, b = 17%
a = 12%, b = 18%
a = 40%, b = 18%
a = 41%, b = 63%
Answer: b
Step-by-step explanation:
Based on the given relative frequency table, and the Venn diagram, the values a and b would be 12% and 18%. a = 12%, b = 18%.
What is the value of A?First find the total number of people surveyed:
= 84 + 17 + 25 + 15
= 141
The value of A would be:
= Carrots and turnips / total people
= 17 / 141
= 12%
What is the value of B?= Number of people who prefer turnips / Total suriveyed
= 25 / 141
= 18%
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Urgent!!!!!!
Accidently chose an answer not sure if it's right
I will mark the person who answers with an answer brainliest.
Due soon!!!
Answer:
im pretty sure its right
Step-by-step explanation:
Please help
Initial amount:
Factor:
Equation:
The factoring of the equation is 6x(x + 8). The process of factoring involves determining what to multiply to produce an expression.
How to factor the equation?The process of factoring involves determining what to multiply to produce an expression.
It resembles "dividing" an expression into several smaller expressions.
There are three steps involved in factoring completely:
A GCF should ideally be factored out of the expression.
As much as you can, factor a trinomial.
Put as many factors as you can into a Difference Between Two Squares.
The Grouping method, the difference in two squares, and the sum or difference in cubes are the four primary methods of factoring. The Greatest Common Factor (GCF) is another.
It should be noted that the given expression must be factored based on the provided information.
The expression given is:
6x² + 48x
The common factor is 6x
6x(x + 8)
Therefore, the factoring of the equation is 6x(x + 8).
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Someone please help! Picture attached
Answer:
third side = 3
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let the third side be x , then
x² + 4² = 5²
x² + 16 = 25 ( subtract 16 from both sides )
x² = 9 ( take square root of both sides )
x = [tex]\sqrt{9}[/tex] = 3
For a family with 3 children, what is the probability that they have exactly 2 boys and 1 girl?
Answer:
[tex]\frac{3}{8}[/tex]
Step-by-step explanation:
Possibilities (G for girls and B for boys):
GGG
GGB
GBG
GBB
BGG
BGB
BBG
BBB
Answer:
1/4
Step-by-step explanation:
There are a total of four possibilities,
- Three girls
- Three boys
- Two girls and One boy
- Two boys and One girl
and only one of those options are 2 boys and 1 girl
there is another option
6- × =3
Answer:
3x=6
Step-by-step explanation:
ILL BRAINLIEST YOU PLEASE HELP ME
Answer: 30.0 feet
Step-by-step explanation:
Answer:
30.0 ft
Step-by-step explanation:
A line is decreasing from left to right and crosses the y-axis at -5. Which of the following equations matches the description of the line?
y = -5x + 5
y = -5x - 5
y = 5x + 5
y = 5x - 5
Answer: y = -5x - 5
Hopefully that helps.
Can someone please help me with math.
Answer:
your answer is line plot D.
Step-by-step explanation:
The weekly sales of an album have increased since it was first sold at a music store 6 weeks ago. The linear regression equation describing the change is y=1.9x+13.3 , where x represents the week and y represents the number of albums sold per week. Round the residual value to the nearest integer and then construct a residual plot of the data.
The residual value to the nearest integer and then construct the residual plot of the data will be 25.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Since an album went on sale for the first time at a music retailer six weeks ago, its weekly sales have climbed. The change is described by the linear regression equation y=1.9x+13.3, where x is the week and y is the number of albums sold each week.
The residual value is given as,
y = 1.9(6) + 13.3
y = 11.4 + 13.3
y = 24.7
y ≅ 25
The residual value to the nearest integer and then construct the residual plot of the data will be 25.
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please help quickly
These polygons are similar. x=?
The value of x in the similar polygons is 7.
How to find the side of similar polygon?Two polygons are similar if their corresponding angles are congruent and their corresponding sides are in proportion.
Therefore, the polygons WXY and STU are similar.
Hence, using proportion, let's find the value of x
3 / 9 = 4 / x + 5
cross multiply
3(x + 5) = 9 × 4
3x + 15 = 36
subtract 15 from both sides of the equation
3x + 15 - 15 = 36 - 15
3x = 21
divide both sides by 3
x = 21 / 3
x = 7
Therefore,
x = 7
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explanation with steps
Answer:
x = 40° , y = 140° z = 10°
Step-by-step explanation:
the sum of the 3 angles in a triangle is 180° , then
x + 60° + 80° = 180°
x + 140° = 180° ( subtract 140° from both sides )
x = 40°
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
y is an exterior angle of the triangle , then
y = 60° + 80° = 140°
x is also an exterior angle , then
30° + z = x
30° + z = 40° ( subtract 30° from both sides )
z = 10°
Find the volume of a cylinder with diameter 8 and height 10
Answer:
502.4
Step-by-step explanation:
Cylinder Volume Formlua = (Pi)*(R^2)(height) = (3.14)(16)(10) = 502.4
Answer:
HERE YOU GO BRO :
Step-by-step explanation:
VOLUME OF CYLINDER,
V=πr2h
PUT THE GIVEN VALUES,
V= 3.14 × 4 × 2(10)
= 12.56 × 20
V = 251.2cm³ ans
Formulae OF RADIUS IS d/2 = 8/2 = 4cm
Select all the pairs of operations that have inverse relationships.
The pairs of operations that have inverse relationships are subtraction and addition and multiplication and division. The correct options are A and D.
What are algebraic operations?Any of the common arithmetic operations, such as addition, subtraction, multiplication, division, raising to a whole number power, and taking roots, are considered basic algebraic operations in mathematics (fractional power).
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The inverse operations can be subtraction and addition and multiplication and division.
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Carl and Sure are planning to buy a new home. They will both retire in 16 years and do not want to have a house payment at that time. Which offer should they choose?
The question is incomplete. The complete question is :
Carl and Sure are planning to buy a new home. They will both retire in 16 years and do not want to have a house payment at that time. Which offer should they choose?
Offer 1 Offer 2
Rate: 7% Rate: 6%
Time(years): 30 Time (years): 25
Loan Amount: $200,000 Loan Amount: $200,000
Monthly Payment: $1,330.60 Monthly Payment: $1,288.60
Total Financed:$479,017.80 Total Financed: $386,580.84
Offer 3
Rate: 5%
Time (years): 15
Loan Amount: $200,000
Monthly Payment: $1581.59
Total Financed: $284,685.71
Solution :
It is given in the question that Carl and Sue are planning to purchase a new house for them. Both of them are going to retire after 16 years from now and they do not want to have any house loan to pay at their retirement time.
So from the offers, Carl and Sue should take the Offer 3 to buy a home for them. This is because rate of interest for the loan amount is less as compared to the other two offers and also loan will be completed within 15 years from now. So they will not have any loan payment at their retirement period.
Therefore, they should choose Offer 3.
Answer:
4 so you dont have the read that stuff
Step-by-step explanation:
help if you want brianleist!! :) uhm don't mind update- NO LINkS- Thank you to those who help! :)
Answer:
200ft
Step-by-step explanation:
5ft×4ft= 20ft. 20ft×10ft =200ft
Who created 4 steps in problem solving?
The 4 steps methods of problem solving is an approach that is agreed upon by many experts in different fields and developed over time, The answer is it is not attributed to any individual creator.
What is problem solving?Mathematical exercises with the potential to present intellectual challenges for advancing pupils' mathematical learning and growth are referred to as "problem solving." The three primary components of problem-solving are recognizing the issue, considering potential solutions, and selecting the best course of action.
What are four steps in problem solving?The 4 steps in problem solving, also known as the "scientific method" or the "4-step problem solving model" is a widely recognized method for solving problems that is used in many fields including science, engineering, and business. The four steps are: (1) Identifying the problem, (2) Gathering information, (3) Developing solutions, and (4) Implementing the solution.
It is not attributed to any individual creator, but an approach that is agreed upon by many experts in different fields and developed over time.
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If you place a 34-foot ladder against the top of a building and the bottom of the ladder is 25 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.
Answer:
59
Step-by-step explanation:
Since it says round to the nearest tenth of a foot, I might be wrong. But anyways I hope this helps!
The height of the building that has a 34 foot ladder rested on it with a distance of 25 feet is 23.0 feet.
The situation forms a right angle triangle.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. The isdes of the triangle can be found using pythagoras theorem.
Therefore, the length of the ladder is the hypotenuse of the triangle. The distance form the bottom of the ladder to the bottom of the building is the adjacent side.
The height of the building is the opposite side of the triangle. Therefore,
c² = a² + b²
34² - 25² = b²
b = √1156 - 625
b = √531
b = 23.0434372436
b = 23.0
The height of the building is 23.0 feet.
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Help with some crazy easy math and explain for brainliest.
Answer:
c
Step-by-step explanation: