The velocity of the wind will be 50 km per hour.
What is a vector?The quantity which has magnitude, direction and follows the law of vector addition is called a vector.
A motorcyclist riding North along a straight road at 50 km per hour observes that the wind appeared to have a velocity of 50 km per hour from the direction North 60 degrees West.
Then the velocity of the wind will be
Let x be the speed of the wind. Then we have
x² = 50² + 50² - 2 x 50 x 50 x cos 60°
x² = 2500 + 2500 - 2500
x² = 2500
x = 50 km per hour
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Which formulas could you use to find the volume of a right circular
cone?
OA) V = B-h where B = I-w
OB) V=B-h where B=1r'
OC) V=B-h where B = Tr
OD) V=B-h where B=1-w
Answer:
The formula for the volume of a cone is V=1/3hπr².
What are the slope and the y-intercept of the linear function that is represented by the graph?
answer C is “The slope is Negative three-fourths, and the y-intercept is 3.”
answer D is “The slope is Negative three-fourths, and the y-intercept is 4”
Answer:
“The slope is Negative three-fourths, and the y-intercept is 3.”
Step-by-step explanation:
the graph passes through the points (0 , 3) and (4 , 0)
Then
The slope is :
[tex]=\frac{0-3}{4-0}[/tex]
[tex]=-\frac{3}{4}[/tex]
Since , the graph passes through (0 , 3)
THen the y-intercept is 3.
Which best describes the data set? it is nonlinear because the ""total houses built"" column does not increase at a constant additive rate. it is nonlinear because the ""months passed"" column does not increase at a constant additive rate. it is nonlinear because the increase in the ""total houses built"" compared to the increase in the ""months passed"" does not show a constant rate of change. it is linear because the increase in the ""total houses built"" compared to the increase in the ""months passed"" shows a constant rate of change.
Answer :C)It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change.
:) hope you have a great day!
Which of the following triangles are right triangles? Select all that apply.
Triangle A:
101
20
Triangle A
Triangle B
Triangle C
89
15
Triangle B:
113
110
20
Triangle C:
29
21
B
So there is a possibility I read it wrong, or you typed it wrong. but from what I see, there are NO right triangles.
Step-by-step explanation:
a right triangle has a 90 degree angle. none of these have one.
Review the debate between former presidents, Jimmy Carter and Ronald Reagan. In a three paragraph essay of (4-5 sentences each), write an evaluation with evidence to support which candidate proposed a more compelling argument about inflation.
Support your claim with specific data presented by each of the candidates. Be sure to mention a minimum of one counterpoint, and refute this point with evidence.
Answer:
A key turning point in American politics was the election of 1980. It indicated the new electoral power of the suburbs. The success that Reagan had as a conservative would initiate a group of parties because liberals and conservatives would either leave politics or change party affiliations through the 1980s and 1990s. The research shows this caused the 1980 election to be recalled as one of America's best historical events.
Step-by-step explanation:
The League of Women Voters is pleased to welcome President Jimmy Carter, the Democratic Party's candidate for re-election to the Presidency, and Governor Ronald Reagan of California, the Republican Party's candidate for the Presidency. The candidates will debate questions on domestic, economic, foreign policy, and national security issues.
In the debate between sitting president Jimmy Carter and Republican challenger Ronald Reagan, Reagan's arguments and explanations best match the available evidence. Carter claims his policies had reduced the inflation rate by 10% in less than a year and points to the 9 million jobs he had provided to reduce unemployment rates. Reagan refutes this by mentioning that while Carter may have decreased the inflation rate from the beginning of the year, the inflation rate increased from 4.4% at the start of his presidency to almost 12% now. A graph provided by Ed Genuity proves this to be true, therefore current evidence supports Reagan's claim.
In the final week of the 1980 presidential campaign between Democratic President Jimmy Carter and Republican nominee Ronald Reagan, the two candidates held their only debate. And then, during the debate, Reagan posed what has become one of the most important campaign questions of all time: “Are you better off today than you were four years ago?” Carter’s answer was a resounding “NO,” and in the final, crucial days of the campaign, his numbers tanked.
On Election Day, Reagan won a huge popular vote and electoral victory. The “better off” question has been with us ever since. Its simple common sense makes it a great way to think about elections. And yet the answers are rarely simple.
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On a coordinate plane, a right triangle has points A (negative 5, negative 6), B (negative 5, negative 2), C (negative 2, negative 2). Examine the right triangle ABC. Which rise and run would create a similar right triangle on the same line? a rise of 6 and a run of 8 a rise of 8 and a run of 6 a rise of 6 and a run of 5 a rise of 5 and a run of 6
The rise and run that would give us a similar right triangle on the same given line is: B. a rise of 8 and a run of 6.
What is the Rise and Run of Points on the Same Line?The rise/run of any two points on the same line are have the same slope value.
Given the coordinates:
A(-5, -6)B(-5, -2)The rise of triangle ABC = change in y = 4 units
The run of triangle ABC = change in x = 3 units
Rise/run = 4/3
Therefore, a rise of 8 and a run of 6 would give us: 8/6 = 4/3.
This will give us a triangle similar to triangle ABC.
Therefore, the answer is: B. a rise of 8 and a run of 6.
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Answer the following
The set A satisfying the given inequality is A = (-[tex]\infty[/tex], -10].
What are some properties of an inequality relation?Following are some facts which are true for an inequality relation:
Equal numbers can be added or subtracted from both sides of an inequality without affecting the inequality sign.The Inequality sign is unchanged if both sides are multiplied or divided by a positive number, but when multiplied or divided by a negative number the inequality sign is reversed.[tex]\frac{5x-2}{8} - \frac{3x-5}{10} &\ge& x+y\\\\\Rightarrow\;\; \frac{13}{40}x + \frac{1}{4}&\ge& x+y\\\\\Rightarrow\;\;\;\;\;\; -\frac{27}{40}x &\ge & y - \frac{1}{4}\\\\\Rightarrow\;\;\;\;\;\;\;\;\;\; -x &\ge & \frac{40}{27}\left( y-\frac{1}{4} \right).\hspace{1cm}(1)[/tex]
Since y ∈ B, -2 ≤ y ≤ 7. So,
[tex]\;\;\;\;\;\;\;\,-2 - \frac{1}{4}\; \le\; y - \frac{1}{4} \;\le\; 7 - \frac{1}{4}\\\\\Rightarrow\;\;\;\;\;\;\;\;\; -\frac{9}{4}\; \le\; y - \frac{1}{4} \;\le\; \frac{27}{4}\\\\\Rightarrow\;\;\; -\frac{9}{4}\cdot \frac{40}{27} \;\le\; \frac{40}{27} \left( y-\frac{1}{4} \right) \;\le \;\frac{27}{4}\cdot \frac{40}{27}\\\\\Rightarrow\;\;\;\;\;\;\;\; -\frac{10}{3} \;\le\; \frac{40}{27}\left( y - \frac{1}{4} \right)\; \le\; 10.[/tex]
The set {-x | inequality (1) holds ∀ y ∈ B} is [10, [tex]\infty[/tex]) i.e.
10 ≤ -x ≤ [tex]\infty[/tex].
Multiplying -1 throughout gives
-10 ≥ x ≥ -[tex]\infty[/tex].
x, thus, lies in the range A = (-[tex]\mathbf{\infty}[/tex], -10}.
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Disclaimer: The question was incomplete. Please find the full content below.
QuestionFind the set A such that for x ∈ A
[tex]\frac{5x - 2}{8} - \frac{3x - 5}{10} \ge x + y[/tex]
∀y ∈ B = {y ∈ R | -2 ≤ y ≤ 7}.
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Anne is visiting a friend who lives 18.5 km away. She travels 10 km by train, 1.5 km by bus, and walks the rest of the way. If she walks at a rate of 3.5 km per hour, for how long will Anne walk
Anne will walk a distance of 7 km, and she takes 2 hours to walk that distance.
For how long will Anne walk?
The total distance is 18.5 km.
She travels 10km by train and 1.5km by bus, for a total of 11.5km.
The distance that she walks is given by:
18.5km - 11.5km = 7km
So she walks for a distance of 7 km, at a speed of 3.5km per hour.
Remember the relation:
distance = time*speed
That can be rewritten to:
time = distance/speed.
Then the time that she walks is given by:
T = (7 km)/(3.5 km/hour) = 2 hours
She walks for 2 hours.
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Think About a Plan Write an indirect proof.
Proof
Given: 41 42
Prove:
p
• What assumption should be the first step of your proof?
. In the figure, what type of angle pair do 21 and 22 form?
1) Either [tex]\ell \parallel p[/tex] or [tex]\ell[/tex] ∦ [tex]p[/tex] (only two possibilities)
2) Assume [tex]\ell \parallel p[/tex] (one of two possibilities)
3) [tex]\angle 1 \cong \angle 2[/tex] (if two parallel lines are cut by a transversal, the corresponding angles are congruent)
4) But [tex]\angle 1[/tex] is not congruent to [tex]\angle 2[/tex] (given)
5) So [tex]\ell[/tex] ∦ [tex]p[/tex] (only other possibility)
What is the domain and range of the following graph?
Answer:
Domain is all x-values and range is all y values. See all of the x values and y values that are touching the graph. Also, when there is a circle/ hole, use parenthesis for the interval notation. Hope it helps!
Find the nth term of this number sequence
1, 7, 13, 19, ...
Answer:
now we have to follow up with the formula n² - n¹
which is 7-1= 6
n³-n²
which is 13-7=6
so therefore the nth term=6
Sin (5x-28) = cos (3x - 50)
By using trigonometric identities we can solve the trigonometric equation Sin (5x-28) = cos (3x - 50) for x.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
The question is incomplete.
The complete question is:
Solve for X given that sin(5X - 28)° = cos(3X - 50)°.
We have given:
sin(5X - 28)° = cos(3X - 50)°.
[tex]\rm \sin \left(5x-28\right)=\sin \left(\dfrac{\pi }{2}-\left(3x-50\right)\right)[/tex]
[tex]\rm \left5x-28\right= \left\dfrac{\pi }{2}-\left(3x-50\right)\right[/tex]
[tex]\rm x=\dfrac{4\pi n+156+\pi }{16}[/tex] (n = 0, 1, 2, ...)
[tex]\rm x=\dfrac{\pi +4\pi n-44}{4}[/tex]
Thus, by using trigonometric identities we can solve the trigonometric equation Sin (5x-28) = cos (3x - 50) for x.
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[tex]\sqrt{6} /\sqrt{27}[/tex]
[tex]\mathrm{Apply\:the\:laws\:of\:exponents}:\quad \dfrac{\sqrt{a}}{\sqrt{b}}=\sqrt{\dfrac{a}{b }},\:\quad \:a\ge 0,\:b\ge 0[/tex]
[tex]\dfrac{\sqrt{6}}{\sqrt{27}}=\sqrt{\dfrac{6}{27}}[/tex]
[tex]=\sqrt{\dfrac{6}{27}}[/tex]
[tex]\mathrm{ Cancel \ \ \dfrac{6}{27} \ \ \ ; \ \ \dfrac{2}{9} }[/tex]
[tex]=\sqrt{\dfrac{2}{9}}[/tex]
[tex]\mathrm{Apply\:the\:laws\:of\:exponents}:\quad \sqrt{\dfrac{a}{b}}=\dfrac{\sqrt{a}}{\sqrt{b }},\:\quad \:a\ge 0,\:b\ge 0[/tex]
[tex]=\sqrt{\dfrac{2}{9}}[/tex]
[tex]\sqrt{9}=3[/tex]
[tex]=\dfrac{\sqrt{2}}{3} \ \ === > \ \ \ Answer[/tex]
[tex]\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]
need help asap! Fill in the blank by entering just a number…
Answer:
i think it is 102
Step-by-step explanation:
first u solve the equation to find
then substitute and solve for at a tb
next just add them to find
PLEASE HELPPPP
one gym membership charges $10 a month with a sign-up fee of $45. Another gym does not charge patrons a sign-up fee but costs $25 a month. at what month is the total cost of both memberships the same?
Answer:
3 MonthsStep-by-step explanation:
Please give me Brainliest!
2 Pretest: Unit 5
Question 19 of 27
Find the value of x that makes ABCD a parallelogram.
x+60°
70°
O A. x= 10°
OB. x= 30°
OC. X= 40°
OD. x = 50°
A
70°
x+60°
B
The value of x will be 50°. Then the correct option is D.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
Then the sum of the adjacent angle of the parallelogram is 180 degrees.
Then the value of x that makes ABCD a parallelogram will be
The one angle is x+60°.
Then the another angle will be 70°.
Then we have
x + 60° + 70° = 180°
x + 130° = 180°
x = 50°
Then the correct option is D.
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The depreciation method that does not initially use the residual value in depreciation calculations is the.
An asset loses value over time as a result of use, damage, or obsolescence.
What is depreciation?An asset loses value over time as a result of use, damage, or obsolescence. Depreciation is the measurement for this decline.
The depreciation method that does not initially use the residual value in depreciation calculations is the depreciating balance.
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PLEASE HELP 20 POINTS
Quadrilateral A'B'C'D' is the image of quadrilateral ABCD under a rotation about point P.
A -105
B -75
C 75
D 105
Quadrilateral A'B'C'D' is the image of quadrilateral ABCD under a rotation about point P at; D: 105°
How to Interpret Rotation of objects?From the given image, If we connect points C of the blue quadrilateral to point C' of the rotated quadrilateral using the center of rotation P, then we will notice that ∠CPC' will be greater than 90°.
Now, the rotation is counterclockwise and it therefore means that the angle of rotation is will be positive and since ∠CPC' is greater than 90°, then we can say that the only correct option is Option D which is 105°
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¿Cuáles son las soluciones x1 y x2 de la ecuación x2 − 5x − 6 = 0?
Answer:
x1 = 4 y x2= 2
Step-by-step explanation:
escuchame
x2 - 5x -6 = 0
(4)^2 - 5(2) - 6 = 0
16 - 10 - 6 = 0
6 - 6 = 0
de nade :)
Which equation completes the system that is satisfied by the solution (1, 1)?
02x+y = 2
O4x - 2y = 2
02x - 2y = 2
Ox+y = 4
Answer: B. 4x-2y=2
Step-by-step explanation:
We will work this out one by one. Plug in the x and y values of the solution to the equations and you will see which one is true or false.
A. [tex]2(1)+y(1)=2\\2+1\neq 2[/tex] B. [tex]4(1)-2(1)=2\\4-2=2[/tex]
C. [tex]2(1)-2(1)=2\\2-2\neq 2[/tex] D. [tex]x(1)+y(1)=4\\1+1\neq 4[/tex]
With this information, we see that B is the correct answer.
I hope this helped!! Pls mark brainliest!! :))
It costs $20 a day to rent a car and $30 for a full tank of gas. If Stacy fills up the tank 3 times and has the car rented for 14 days, how much does she owe?
Answer:
$20 × 14 days = $280
&30 × 3 = $90
&280 + $90 = $370
Answer:
For car she owes=
$20 x 14 = $280
For tank she owes=
$30 x 3 = $90
Therfore in total she owes,
$280 + $90 = $370
PLEASE HELP I WILL MARK BRAINLEST
#1
Error at sign shift due to -Correct version
[tex]\\ \rm\Rrightarrow (x^3+2x^2-x)-(3x^3-3x^2+2x-4)[/tex]
[tex]\\ \rm\Rrightarrow x^3+2x^2-x-3x^3+3x^2-2x+4[/tex]
[tex]\\ \rm\Rrightarrow x^3+5x^2-3x+4[/tex]
#2
Not multiplied 3x with x[tex]\\ \rm\Rrightarrow (x^2-3x+2)(x+1)[/tex]
[tex]\\ \rm\Rrightarrow x(x^2-3x+2)+x^2-3x+2[/tex]
[tex]\\ \rm\Rrightarrow x^3-3x^2+2x+x^2-3x+2[/tex]
[tex]\\ \rm\Rrightarrow x^3-2x^2-x+2[/tex]
If an employer reduces the working week from 40 hours to 35 hours, with no
loss of weedy pay, calculate the percentage increase in the hourly rate of pay.
Answer:
14.285714285714 %
Step-by-step explanation:
suppose the weekly payment is of x dollars
Then
Previous payment : $(x/40) per hour
New payment : $(x/35) per hour
Then
The percentage increase in the hourly rate of pay is :
[tex]=\frac{\frac{x}{35} -\frac{x}{40} }{\frac{x}{40} } \times100[/tex]
[tex]=\frac{\frac{5x}{1400} }{\frac{x}{40} } \times100[/tex]
[tex]=\frac{5x}{1400} \times \frac{40}{x} \times100[/tex]
[tex]=\frac{200}{1400} \times100[/tex]
[tex]=\frac{1}{7} \times100[/tex]
[tex]=14.285714285714[/tex]
What is the value of 3 in this number? 728. 36
Answer:
The place value of 3 is tens
the 3 is in the value of tens
A packet of low fat vegetable soup has a mass of 70.5 g. find the mass of 50 such packets
Answer:
300.25
Step-by-step explanation:
The mass of 1 packet of low fat vegetable soup is 70.5g, the mass of 50 packets is 300.25g(70.5x50).
The mass of 50 low-fat vegetable soups has a mass equal to 300.25 g.
Given : The mass of 1 packet of low-fat vegetable soup is 70.5g
To find: The mass of 50 such packets
Concept: In mathematics, a product is the result of multiplication, or an expression that identifies factors to be multiplied. For example, 30 is the product of 6 and 5
The mass of 50 such packets is 70.5x50 i.e., mass of 1 pkt* number of packets given which is given to be 70.5 and 50 respectively
= 300.25 g.
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What is the answer for 4x+1/3=20?
Answer:
x = 59/12
Step-by-step explanation:
4x + 1/3 = 20
4x = 20 - 1/3
12x/3 = 60/3 - 1/3
12x = 60 - 1
12x = 59
x = 59/12
Check:
4*59/12 + 1/3 = 20
236/12 + 4/12 = 20
240/12 = 20
The least common denominator of 5/6, 2/3, and 3/5 is:
Answer:
30
Step-by-step explanation:
Which expression is equivalent to (startfraction x superscript negative 4 baseline y over x superscript negative 9 baseline y superscript 5 baseline endfraction) superscript negative 2? assume x not-equals 0, y not-equals 0.
The equivalent expression of [tex](\frac{x^{-4}y}{x^{-9}y^5})^{-2}[/tex] is [tex]x^{-10}y^8[/tex]
Complete questionWhich expression is equivalent to [tex](\frac{x^{-4}y}{x^{-9}y^5})^{-2}[/tex]
How to determine the equivalent expression?The expression is given as:
[tex](\frac{x^{-4}y}{x^{-9}y^5})^{-2}[/tex]
Apply the exponent law of indices
[tex](\frac{x^{-9}y^5}{x^{-4}y})^{2}[/tex]
Next, we apply the common base law of indices
[tex](x^{4 -9}y^{5-1})^2[/tex]
Evaluate the difference
[tex](x^{-5}y^4)^2[/tex]
Remove bracket
[tex]x^{-10}y^8[/tex]
Hence, the equivalent expression of [tex](\frac{x^{-4}y}{x^{-9}y^5})^{-2}[/tex] is [tex]x^{-10}y^8[/tex]
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Answer:
y^8/x^10
Step-by-step explanation:
The guy above me is right but just forgot to distribute the negative out of x. :)
please help I need so much help right now I feel like crying
Answer:
ok the first point there is (-4;-3)
the second point is(0;-6)
Sarah made a deposit of $100 into a savings account with 3
percent interest compounded annually. How much money will
the account yield in five years?
(The options are)
A:$97
B:$103
C:$115
D:$116
Answer: D, $116
Step-by-step explanation:
A = 100(1 + 0.03)^5
A = 100(1.03)^5
A = 100(1.1593)
A = 115.92
Hope this helped!