Answer:
B) Maximums: (0, 1), (2π, 1);
Minimum: (π, -3)
A ship from Port travels fot 60km on the bearing of 129°.It continues to travel and changes direction for another 50km on a bearing of 080°
Answer:
The ship is approximately 100 km to the Port.
Step-by-step explanation:
The sketch to the question gives a triangle with two sides and an included angle. Let the distance from the Port to the stopping point of the ship be represented by c. It can be determined by the application of cosine rule. Cosine rule states that:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] -2ab Cos C
a = 50 km
b = 60 km
C = 51 + 80 = [tex]131^{o}[/tex]
So that;
[tex]c^{2}[/tex] = [tex]50^{2}[/tex] + [tex]60^{2}[/tex] -2(50 x 60) Cos [tex]131^{o}[/tex]
= 2500 + 3600 -6000 x -0.6561
= 6100 + 3936.6
[tex]c^{2}[/tex] = 10036.6
c = [tex]\sqrt{10036.6}[/tex]
= 100.183
c = 100.18 km
Thus, the ship is approximately 100 km to the Port.
Match the vocabulary word with the correct definition.
1. compound event
2. independent event
3. dependent event
- the occurrence of one event affects
the probability of the occurrence of another event
- the occurrence of one event does
not affect the probability of the occurrence of another event
- two or more events considered
independent event-the occurrence of one event does not affect the probability of the occurrence of another event
compound event-two or more events considered
dependent event-the occurrence of one event affects the probability of the occurrence of another event
a) Compound Event refers to the combination of two or more events considered.
b) Independent Event occurs when one event does not affect the probability of the occurrence of another event.
c) Dependent Event describes a situation where the occurrence of one event affects the probability of the occurrence of another event
a) Compound Event: This refers to the combination of two or more events considered together. It involves analyzing the probability of multiple events occurring in a specific situation or experiment. For example, when rolling a pair of dice, the compound event might be the probability of getting a sum greater than 9.
b) Independent Event: This occurs when the outcome or occurrence of one event has no impact on the probability of the outcome or occurrence of another event. In other words, the events are unrelated and do not influence each other. For example, flipping a coin and rolling a die are independent events since the outcome of the coin flip does not affect the outcome of the die roll.
c) Dependent Event: This describes a situation where the occurrence of one event does affect the probability of the occurrence of another event. In dependent events, the outcome or happening of the first event has an impact on the likelihood of the second event. For instance, drawing cards from a deck without replacement is a dependent event since the probability of drawing a certain card changes after each card is drawn.
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The diagonals of rectangle QRST intersect at P. Given that mZPTS = 34° and
QS = 10 , find RT.
Can someone help pleasee
Answer:
10
Step-by-step explanation:
The diagonals of a rectangle are congruent.
RT = QS = 10
Answer: RT = 10
Answer:
Your answer should be 10.
Step-by-step explanation:
In order for a quadrilateral to be classified as a rectangle, BOTH diagonals must be congruent. Otherwise, the quadrilateral cannot be classified as a rectangle. Hope this helps you out!
Brainliest for correct answer! :)
Answer:
280
Step-by-step explanation:
question in photo. i'll give brainliest to whoever gets it right/done quickest. thank you!
Please help,
Find the area of the figure
Answer:
243cm squared
Step-by-step explanation:
One solution to a quadratic equation is 4 - 5i. Find the equation.
Answer:
The answer would be Equation B:
x2 - 8x + 41
Step-by-step explanation:
En un bolsillo tengo una cantidad de dinero y en el otro tengo el doble. En total tengo 600. ¿cuántos euros tengo en cada bolsillo?
Answer:
La cantidad de dinero en:
Primer bolsillo = x = 200 euros
Segundo bolsillo = 2x = 400 euros
Step-by-step explanation:
Nos dijeron:
En un bolsillo tengo una cantidad de dinero y en el otro tengo el doble.
Representemos, la cantidad de dinero en el:
Primer bolsillo = x
Segundo bolsillo = 2x
En total tengo 600.
Por eso:
x + 2x = 600
3 veces = 600
x = 600/3
x = 200
2x = 200 × 2
x = 400
Por lo tanto, la cantidad de dinero en:
Primer bolsillo = x = 200 euros
Segundo bolsillo = 2x = 400 euros
I NEED THIS ASAP. I WILL GIVE ALL MY 32 POINTS
MY ASSESMENT IS DUE TOMMOROW AND I HAVEN'T STARTED AND I NEED FULL MARKS
ANY QUESTIONS PLEASE COMMENT THANKS
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Answer:
-8 or -5
Step-by-step explanation:
Item 4
Find the surface area of the prism.
The surface area is
a
square feet.
Answer:
xnxnxnzznchamschdntjekdfurnthsjdnfjdjdjdkdkr
Step-by-step explanation:
xmxmxnxmxmxnxmxnxndmsndfhakxufmrjdkxddjrf7sjrifxisufkf8dhrkfdkshgshdbfjdddnfjfkdnfmcmcmdmdkfkfkkfdkfkfkfkfkfkfkfkkfkfkfkfkfkdkdkdmdkdkdkdkdmdmrmddmrm1520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126
Aiden uses 1/6 cup of blue paint for every 1/2 cup of red paint to make purple paint what is the number of cups of blue paint aiden uses for 1 cup of red paint
Answer:
your answer is 2/6 or 1/3 a cup.
Step-by-step explanation:
Can someone help me with this thank you
Answer:
30 sq cm
Step-by-step explanation:
The area of a parallelogram is the base times the height. We can see that the base is 10 cm, and 3 cm would be the height because it is perpendicular to the base. We get the equation:
Area = 10 cm x 3 cm
Area = 30 sq cm
The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers.
Three families, a, b, & c share 480 kg of rice. B receives twice as much as a, c receives half of b. How much rice does each family get?
Answer:
Family a got 120kg, b got 240 kg and c got 120 kg
Step-by-step explanation:
Given that 480kg of rice is shared by families a, b, c. let these alphabets represent the amount received by each family.
a + b + c = 480
Given that B receives twice as much as a, c receives half of b then,
b = 2a and
c = 1/2 b = b/2
from b = 2a,
a = b/2
substituting into the first equation
b/2 + b + b/2 = 480
b + b = 480
2b = 480
b = 480/2
= 240 kg
a = c = b/2
hence a = c = 240/2 = 120kg
Let A and B be the two non-right angles in a right triangle.
Answer:
Step-by-step explanation:
adjacent=5 ,hypotenuse13 opposite=?
hypotenuse^2=opposite^2+adjacent^2
13^2=opposite^2+5^2
169-25=opposite^2
[tex]\sqrt144[/tex]=opposite
12=opposite
SinA=opposite/hypotenuse
12/13
therefore sinA =`12/13
1,367.5897 to the nearest whole
Answer:
1368
hope this helps
have a good day :)
Step-by-step explanation:
The souvenir stand sells hats, postcards, and magnets. They have twice as many postcards as hats, and 100 more magnets than postcards.
Let h represent the total number of hats. Write an expression in terms of h for the total number of items they have to sell.
Answer:
4h + 100
Step-by-step explanation:
h = total number of hats
postcards = 2h
magnets = h + 100
Add them all together:
h + 2h + h + 100 = 4h +100
If anybody could help with this question I would appreciate it so much!!
Answer:
d=7
Step-by-step explanation:
what is the area of B1, =4,B2 =8, h =2
Answer: 12
Step-by-step explanation:
plz help me asap !!!
Answer:
Step-by-step explanation:
x+60=140
x=140-60
x=80 degree
arrange from largest to smallest 1/2, 7/11, 5/8, 2/3
Answer: 2/3, 1/2, 5/8,7/11
Step-by-step explanation: usually the smaller your denominator is the larger your fraction. You also have to look at the numerator and somewhat visualize what it would look like. Such as 2/3 is larger than 1/2 because 1/2 of 3 is 1.5 so since 2 is larger than 1.5 you can say 2/3 is larger
Hope this helps
Answer:
2/3, 7/11, 5/8, 1/2
Step-by-step explanation:
You make them so that they have all the same denominator and it is self explanatory from there :)
Which symbol correctly compares the two angles?
45° pi/3
Answer:
a pi = 3.14
Step-by-step explanation:
The symbol which compares the two angles is "< ".
What is an angle?
Angles around a point define the sum of angles that can be arranged together so that they construct a full arch. Angles around a point add to 360 °.
π/3 =180/3 = 60 degree
π/3 > 45 degree
45 degree < π/3
Therefore, the correct answer is option A. <.
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1. Gwen deposits $7,000 in a savings account with an annual interest rate of 2.5%. What function
represents the value of her account after x years? What will her balance be after 9 years?
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $7,000
Interest rate (i)= 2.5%
To calculate the future value after x years, we need to use the following formula:
FV= PV*(1 + i)^x
Now, for 9 years:
x= 9
FV= 7,000*(1.025^9)
FV=$8,742.04
3. Two consecutive odd integers can be modeled by n and n + 2, where n is an
odd integer. The sum of two consecutive odd integers is 80. What are the
integers?
Step-by-step explanation:
Given :-
Two consecutive odd integers can be modeled by n and n + 2, where n is anodd integer. The sum of two consecutive odd integers is 80.=> n + n +2 = 80
=> 2n + 2 = 80
=> 2n = 78
=> n = 78 ÷ 2
=> n = 39
numbers = 39 &41y = 3x2 – 2x +3
Please help
Answer:
[tex]y = {3x}^{2} - 2x + 3 \\ y = ( \frac{1}{3} + i) {}^{2} [/tex]
pls help will give brainliest
Answer:
132
Step-by-step explanation:
Volume for a rectangular prism is V=lwh. so you do 11*3*4. 11 is the length, 3 is the width and 4 is the height
Answer:
uhh, look it up
Step-by-step explanation:
And please help me with this one too!! Thank you!!
Answer:
math.way
Step-by-step explanation:
Answer:
Step-by-step explanation:
y^2=49
y=[tex]\sqrt{49}[/tex]
y=7
At Sam’s Warehouse, a member pays $25 a year for a membership, and then buys all products at the regular store prices. A non-member does not pay the membership fee, but does pay an additional 5% above the store prices. Write and solve a system of equations to represent this situation where is the store price and is the total amount paid.xy
Answer:
[tex]y = 25 + x[/tex] --- Members
[tex]y = 1.05x[/tex] --- Non-members
Step-by-step explanation:
Given
[tex]x \to store\ price[/tex]
[tex]y\to total\ amount[/tex]
Members
[tex]Membership =\$25[/tex]
Non-members
[tex]Rate = 5\%[/tex] increase
For the members, the equation is:
[tex]y = Membership + Store\ price[/tex]
[tex]y = 25 + x[/tex]
For non-members, the equation is:
[tex]y = Store\ price * (1 + Rate)[/tex]
[tex]y = x * (1 + 5\%)[/tex]
[tex]y = x * (1.05)[/tex]
[tex]y = 1.05x[/tex]
Can someone please help me?