9514 1404 393
Answer:
61.5°
Step-by-step explanation:
The tangent relation is useful here. The angle is opposite the vertical side and adjacent to the horizontal side of the right triangle.
Tan = Opposite/Adjacent
tan(α) = 35/19
α = arctan(35/19) ≈ 61.5°
The angle made by v and the positive x-axis is 61.5°.
The vertical motion of a mass attached to a spring is described by the given initial-value problem. 4x " + x' + x = 0, x(0) = 8, x'(0) = 4
Determine the maximum vertical displacement of the mass. (Round your answer to three decimal places.)
Answer:
m = 4
k = 25.56
b = 20
The differential equation for damping motion is:
where,
Substitute the values in the differential equation and consider x" = r², x' =r and solve:
Therefore, solution is given by:
at t = 0, x = 1
at t = 0
x' =0
Step-by-step explanation:
Don’t understand this problem
Answer: I'm not Einstein sorry
Step-by-step explanation:
Have to be smart as Einstein.................Which I'm not
please help
Determine if the relation is a function. Explain your reasoning.
y=3×
Answer:
yes for each input there is exactly one output.
Step-by-step explanation:
phone pictures is given by y equals 0.25 x where X is the number of 32 y equals 3x + 2y
look at the image for the quetion
Answer:
Does the answer help you?
A 14 sided die is rolled find the probability of rolling an odd number the set of equally likely outcomes is shown below
Answer:
Probability= 0.5
Step-by-step explanation:
A 14 sided die is rolled
Total number of occurrence= 14 numbers
Total odd numbers present
= 1,3,5,7,9,11,13
Total number of odd numvers present
= 7
Probability= number of required outcome/total possible outcome
Probability= 7/14
Probability= 0.5
Help me solve this!!!
Answer:
54°
Step-by-step explanation:
Let ∠CYX=x
AB║CD
∠AXE=∠CYX (corresponding angles)
∠AXE=3∠CYX-108
x=3x-108
3x-x=108
2x=108
x=108/2=54°
∠AXE=∠CYX=x=54°
∠BXY=∠AXE=54° (Vertically opposite angles)
Megan has 12 pounds of cheesecake. On Monday, she and her friends eat 4 pounds. On Tuesday, she and her friends eat another 3 pounds. On Wednesday, her friend Mark gives her some more cheesecake so that she has 3 times as much as she had at the end of Tuesday. On Thursday, some of her cheesecake goes bad, so she has the amount that she had at the end of Wednesday, but divided by 5. On Friday, she gives 3 pounds to her dog. On Saturday, her mom gives her one more pound. On Sunday, how many pounds of cheesecake does Megan have left?
Answer:
Step-by-step explanation:
First we start with 12 pounds
On Monday, she and her friends eat 4 pounds. So we have 8 now.
On Tuesday, she and her friends eat another 3 pounds. So we gave 5 now.
On Wednesday, her friend Mark gives her some more cheesecake so that she has 3 times as much as she had at the end of Tuesday. 5 * 3 = 15
On Thursday, some of her cheesecake goes bad, so she has the amount that she had at the end of Wednesday, but divided by 5. She had 15 at the end of Wednesday. 15/5 = 3.
On Friday, she gives 3 pounds to her dog. 5 - 3 = 2.
On Saturday, her mom gives her one more pound. 2 + 1 = 3.
On Sunday, she finally has 3 pounds.
Answer:
nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
Step-by-step explanation:
please help, my course ends tonight and all im getting are spammers
Research some terms for parts of a circle and find examples of them in fields such as engineering or architecture. Describe in detail how these terms are used and how these uses relate to what you’ve learned in class.
Answer:
parts of a circle = tangent, chord, arc, segment, sector, diameter, radius, circumference.
A lot of jobs use area and perimeter such as; Surveying, flooring estimates architecture, mechanical engineering,
Typically, a land surveyor conducts and records a perimeter survey and part of this includes the transverse
Surveyors typically measure positions in series. Starting at control points, they measure angles and distances to new locations and use trigonometry to calculate positions in a plane coordinate system. Measuring a series of positions in this way is known as "running a traverse." A traverse that begins and ends at different locations is called an open traverse.
Here they create segments as seen below attached.
Engineers Drawing Circles: Begins by defining the radius, diameter and circumference and asking students to draw circles with a given radius, circumference or area. and when requiring they draw two circles with the same centre, one property of each circle being given in example with bridges, or arc of a circle working with calculating precise length for material lists.
The Annulus: the shape formed between two circles. They use the properties of the annulus by completing a table with values of pertaining to the properties of the inner circle, the outer circle and the annulus.
With sectors, engineers, can defining major and minor sector, they calculate the arc length and the area of a sector of a circle. They have learnt how to complete a table of values of properties of a circle and a sector of that circle given different properties from which to start with.
Architecture typically used series of circles in gothic architecture, but also art deco and earlier historic arches, use of semi-circular arches in architecture, and tangents are used as a .function to compute a building's height if they know their distance from the structure and the angle between their eyes and the building's top; clinometers can help them measure those angles.
Metal fabricators and product design workers use spring dividers help them inscribe an arc or create a circle pattern.
I would then write a little more about chords and radius
Find the mean 9,1,8,3,2,1 graphically.
Based on the image, which list of 3 points are collinear?
Answer:
Collinear occurs when the two points has the same gradient,
So, for this question any line that forms by any three points would be collinear.
Hence, EBF,DGC,MGN,BGA are all collinears
Step-by-step explanation:
Solve each equation for the given variable
1.3(2x+4)=54
2.4+(5x+5)54
Please
Answer:
1. x = 7
2. 270x+274
Explanation:
see attached filed for step by step reasoning
If m∠ATB = 20°, m∠BTD = 72°, and m∠CTD = 38°, what is m∠ATC?
Answer: m∠ATC = 54°
Step-by-step explanation:
Ok, we know that:
m∠ATB = 20° and m∠BTD = 72°
then we must have that the angle between A and D, is equal to the sum of the angles between A and B, and B and D, or:
m∠ATD = m∠ATB + m∠BTD = 20° + 72° = 92°
Now, we also know that m∠CTD = 38°
And the angle:
m∠ATC will be equal to the angle between A and D, minus the angle between C and D, or:
m∠ATC = m∠ATD - m∠CTD = 92° - 38° = 54°
Use the quadratic function to predict f(x) if x equals 2. f(x) = −3x2 + 180x − 285
Answer:
if x = 2
f(x) = -3x^2 + 180x -285
f(x) = -3*2*2 + 180*2 -285
f(x) = -12 + 360 -285
f (x) = 63
Step-by-step explanation:
The sum of 7 and 3 times a number is 34.
What is the number?
Answer:
9
Step-by-step explanation:
Let the unknown number be x
Sum means add
7 + 3x = 34
Subtract 7 from each side
7+3x-7 = 34-7
3x = 27
Divide by 3
3x/3 = 27/3
x = 9
A=7x^2-3x+10 B=-4x^2+6x-4
A-B=
Step-by-step explanation:
A-B
=7x-6x/2 +10) - (-2x +6x-4)
=x/2+10- 4x+4
= x-8x /2 +14
=-7x/2+14
If one big rectangle represents one whole what fraction of area is shaded gold in the two rectangle
Answer:
15/8
Step-by-step explanation:
one big rectangle is 1 or 8/8 and the other is 7 out of 8, therefore we have 8/8+7/8 = 15/8.
Last question of the day!!
Answer:
Correct options are 2, 5 and 7.
Step-by-step explanation:
Consider the given vertices of triangle are A(-3,-3), B(-3,2) and C(1,2).
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, we get
[tex]AB=\sqrt{(-3-(-3))^2+(2-(-3))^2}[/tex]
[tex]AB=\sqrt{(0)^2+(5)^2}[/tex]
[tex]AB=\sqrt{25}[/tex]
[tex]AB=5[/tex]
Similarly,
[tex]BC=\sqrt{(1-(-3))^2+(2-2)^2}=4[/tex]
[tex]AC=\sqrt{(1-(-3))^2+(2-(-3))^2}=\sqrt{16+25}=\sqrt{41}[/tex]
From the above calculation it is clear that AC>AB and AC>BC.
According to Pythagoras theorem, in a right angle triangle, the square of largest side is equal to the sum of squares of two small sides.
[tex]hypotenuse^2=base^2+perpendicular^2[/tex]
[tex]AC^2=(\sqrt{41})^2=41[/tex]
[tex]AB^2+BC^2=(5)^2+4^2=24+16=41=AC^2[/tex]
So, given triangle is a right angle triangle and AC is its hypotenuse.
Therefore, the correct options are 2, 5 and 7.
Please helpppp meee !!!!
Answer:
y=-9x+193
Step-by-step explanation:
Its decreasing by 9, and 175+(9x2) is 193
Answer: 193
Explanation:
As you can see its decreasing by 9
y = mx + b
y = (9×2) + 175
y = 18 + 175
y = 193
Must click thanks and mark brainliest
please answer this question please
Step-by-step explanation:
C = Amount (A) - Principal (P)
Where
C is the compound interest
To find the amount we use the formula
[tex]A = P ({1 + \frac{r}{100} })^{n} [/tex]
where
P is the principal
r is the rate
n is the period / time
From the question
P = Rs 12, 000
r = 5%
n = 3 years
Substitute the values into the above formula
That's
[tex]A = 12000 ({1 + \frac{5}{100} })^{3} \\ A = 12000(1 + 0.05)^{3} \\ A = 12000 ({1.05})^{3} [/tex]
We have the answer as
Amount = Rs 13891.50Compound interest = 13891.50 - 12000
Compound interest = Rs 1891.50Hope this helps you
.angle bisector of any angle of a triangle bisect that angle is_____________ parts
By definition of bisector, the angle bisector of any angle of a triangle divides that angle in two equal parts.
But first you must know the definition of the bisector of a triangle. The bisector of a triangle is a segment that divides one of its interior angles into two equal parts and continues until it reaches the side opposite that angle.
In other words, the bisector of a triangle is a line that divides each interior angle of the triangle into two equal angles.
Each interior angle of the triangle corresponds to a bisector, so since each triangle has three interior angles, it has three bisectors. The three bisectors of a triangle meet at a point called the incenter and it is always an interior point of the triangle.
In summary, the bisector of any angle of a triangle is a segment that divides the angle into two equal parts.
Learn more about angle bisector of a angle of a triangle:
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which of the following is equal to 5^-3?
Answer:
5⁻³ = 1/5³ = 1/125
Answer: 1/125
Step-by-step explanation:
in golf, a player's score on each hole is always an integer. The more negative the score, the better it is. A golfer's combined score for the 18 holes is -5. The golfer score -2 on each of the several holes. on all the other holes the golfer scored a combined total of +1. On how many holes did the golfer score -2?
Answer:
3
Step-by-step explanation:
3*(-2)=-6
-6+1=-5
So over the course of 15 holes, he had a COMBINED total of +1.
The three remaining holes, he scored -2 on each of them.
The golfer score -2 in the three remaining holes.
What is the unitary method?
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
It is given that the more negative the score, the better it is. A golfer's combined score for the 18 holes is -5.
The golfer score -2 on each of the several holes.
3*(-2)=-6
Then on all the other holes the golfer scored a combined total of +1.
-6+1 = -5
So, the course of 15 holes, he had a combined the total of +1.
Then the three remaining holes, he scored -2 on each of them.
Hence, the golfer score -2 in the three remaining holes.
Learn more about the unitary method;
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A raffle offers one $8000.00 prize, one $4000.00 prize, and five $1600.00 prizes. There are 5000 tickets sold at $5 each. Find the expectation if a person buys one ticket.
Answer:
The expectation is [tex]E(1 )= -\$ 1[/tex]
Step-by-step explanation:
From the question we are told that
The first offer is [tex]x_1 = \$ 8000[/tex]
The second offer is [tex]x_2 = \$ 4000[/tex]
The third offer is [tex]\$ 1600[/tex]
The number of tickets is [tex]n = 5000[/tex]
The price of each ticket is [tex]p= \$ 5[/tex]
Generally expectation is mathematically represented as
[tex]E(x)=\sum x * P(X = x )[/tex]
[tex]P(X = x_1 ) = \frac{1}{5000}[/tex] given that they just offer one
[tex]P(X = x_1 ) = 0.0002[/tex]
Now
[tex]P(X = x_2 ) = \frac{1}{5000}[/tex] given that they just offer one
[tex]P(X = x_2 ) = 0.0002[/tex]
Now
[tex]P(X = x_3 ) = \frac{5}{5000}[/tex] given that they offer five
[tex]P(X = x_3 ) = 0.001[/tex]
Hence the expectation is evaluated as
[tex]E(x)=8000 * 0.0002 + 4000 * 0.0002 + 1600 * 0.001[/tex]
[tex]E(x)=\$ 4[/tex]
Now given that the price for a ticket is [tex]\$ 5[/tex]
The actual expectation when price of ticket has been removed is
[tex]E(1 )= 4- 5[/tex]
[tex]E(1 )= -\$ 1[/tex]
will rate you brainliest
Answer:
third option is the first step
Answer:
C
Step-by-step explanation:
It is c bro
An angle measures 36° more than the measure of its complementary angle. What is the measure of each angle?
Answer:
Since they are supplementary, they add up to 180 degrees. Since one is 38 degrees more than the other, you can use the equation x + (x+36) = 180 to find both angles
Step-by-step explanation:
Zhi and her friends moved on to the card tables at the casino. Zhi wanted to figure out the probability of drawing a king of clubs or an ace of clubs
Answer:
There is not enough information to the problem.
The things we know are:
Zhi wants to draw a king of clubs or an ace of clubs.
There is a 52 card deck, but we do not know which cards are in play.
Now, the probability of drawing two specific cards out of a deck of 52 cards is equal to:
P = 2/52 = 0.038.
Now, suppose that there are X cards in game, and Zhi knows the cards (and he can see that the king of clubs and the ace of clubs are not in the table, so the must be on the card pile), now the probability is bigger, because now we want to draw two specific cards out of 52 - X cards, so the probability now is:
p = 2/(52 - X)
and 52 - X is smaller than 52, so the denominator is smaller, which means that the probability is actually larger.
Answer:
31%
Step-by-step explanation:
Since the two events, drawing a face card and drawing an ace card, are non-overlapping, we can use the following formula:
P left parenthesis A c e space o r space F a c e right parenthesis equals P left parenthesis A c e right parenthesis plus P left parenthesis F a c e right parenthesis equals 4 over 52 plus 12 over 52 equals 16 over 52 equals 4 over 13 equals space 0.308 space o r space 31 percent sign
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 220 grams of a radioactive isotope, how much will be left after 5 half-lives?
Answer:
[tex]\boxed{6.875 \text{\: grams}}[/tex]
Step-by-step explanation:
Half-lives are how long it takes for half of a substance to decay. If you start with a certain amount and it decays for a certain amount of half-lives, you are dividing by [tex]2^{x}[/tex], where x is equal to the amount of half-lives.
In order to solve this question, simply divide the starting value by 2 raised to the value of half-lives.
[tex]\large\boxed{\frac{220}{2^{5}}=6.875\text{\: grams}}[/tex]
Find x . Round to the nearest tenth of a degree.
Answer:
36.9°
Step-by-step explanation:
Sin x = 9/15 = 3/5
x = sin^-1 3/5
x= 36.87
x= 36.9° to nearest tenth
d is the same as k less than 372
(How can I write this as an equation)
I thought it would be d=k-372
Answer:
d = 372 -k
Step-by-step explanation:
is means equals
less than means subtract from
d = 372 -k
How to find probability from cumulative frequency graph
Answer:
find the difference of points on the graph
Step-by-step explanation:
The cumulative frequency graph (CDF) represents the integral of the probability distribution function (PDF). You find the probability that X is in some interval by subtracting the value of the CDF at the low end of the interval from the CDF value at the high end of the interval.
p(a < x < b) = cdf(b) -cdf(a)