9514 1404 393
Answer:
140.2°
Step-by-step explanation:
The direction of vector (x, y) is the angle arctan(y/x). The signs of the components tell you this is a 2nd quadrant angle. The arctan function only gives values in the range -π/2 to +π/2, so 180° must be added for 2nd and 3rd quadrant angles.*
arctan(5/-6) = 180° -39.8° = 140.2° . . . . CCW from the +x axis
_____
* Spreadsheets and some calculators have an ATAN2(x, y) function that uses the signs of the coordinates to give the result in the correct quadrant.
Help plz..And No links!! I repeat No links!!
Answer:
1193.2 sq. in.
Step-by-step explanation:
SA = LA + 2B
where LA is the lateral area and B is the area of the base (circle)
B = πr^2 = 3.14(10)^2 = 3.14(100) = 314
Area of 2 Bases = 2 (314) = 628
LA = Ch where C is the circumference of the base
LA = πdh = 3.14(20)(9) = 565.2
SA = 628 + 565.2 = 1193.2 sq. in.
Answer:
1193.81
Step-by-step explanation:
A point located at (0, -6) is the same distance from 0 as the point located at (0, 6).
TrueFalse
What is the volume of this sphere?
Use A = 3.14 and round your answer to the nearest hundredth.
8 mm
cubic millimeters
Answer:
[tex]V=2143.57\ mm^3[/tex]
Step-by-step explanation:
Given that,
The radius of the sphere, r = 8 mm
We need to find the volume of the sphere. The formula for the volume of a sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
Put all the values,
[tex]V=\dfrac{4}{3}\times 3.14\times 8^3\\\\=2143.57\ mm^3[/tex]
So, the volume of the sphere is equal to [tex]2143.57\ mm^3[/tex].
) How is the Domain for the function f(x) = (x restricted?
Un industrial obtiene un préstamo de $ 15.000, al 23% anual por el lapso de 5 años. Calcular el monto a la finalización de este tiempo
Answer:
$18,781.5
Step-by-step explanation:
According to the problem, calculation of the given data are as follows,
Loan amount (P) = $15,000
Rate of interest (r) = 23%
Time (t) = 5 years
Let this loan is compounding annually, then the amount after 5 years can be calculated as follows,
Final amount = P [tex](1 + ( r/t))^{t}[/tex]
by putting the value in formula, we get
= $15,000 ( [tex](1 + ( 0.23/5))^{5}[/tex]
= $15,000 × 1.2521
= $18,781.5
HOW TO DO THIS QUESTION
Answer:
A ≈ 40.3 cm²
Step-by-step explanation:
The area of right Δ ACD is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here A = 50.5, b = CD and h = AC , then
[tex]\frac{1}{2}[/tex] × 14 × AC = 50.5
7 AC = 50.5 ( divide both sides by 7 )
AC ≈ 7.214
The area of Δ ABC is calculated as
A = [tex]\frac{1}{2}[/tex] × BC × AC × sin36°
= 0.5 × 19 × 7.214 × sin36°
≈ 40.3 cm² ( to 3 sf )
9514 1404 393
Answer:
64.2 cm²
Step-by-step explanation:
The length AC is found from ...
Area of ACD = (1/2)(AC)(CD)
80.5 cm² = (1/2)(AC)(14 cm)
AC = 80.5 cm²/(7 cm) ≈ 11.5 cm
__
The area of ∆ABC is ...
Area ABC = (1/2)(CB)(CA)sin(C)
= (1/2)(19 cm)(11.5 cm)sin(36°) ≈ 64.2 cm²
need help asap don’t have much time
Answer:
1. Linear pair
2. Adjacent
3. Complementary
4. Adjacent
Step-by-step explanation:
Problem 1:
Angles a and b are on a straight line. Therefore, the relationship between them can be referred a LINEAR PAIR.
Problem 2:
Angles a and b share the a common vertex and same side. Therefore, both angles can be side to be ADJACENT to each other.
Problem 3:
Angle a + angle b = 90°
Therefore, they are COMPLEMENTARY angles.
Problem 4:
angles a and b share the same side and a common vertex. They are ADJACENT angles.
Mrs. Craig gave her class 15 minutes to read. Abby reads 5.5 pages in that time. At what rate, in pages per hour, would Abby read?
I go to a baseball field and survey the people in the stands, asking what is your favorite sport. Is this a fair sample of people for the survey?
Answer:
No.
Step-by-step explanation:
If you go to a baseball park and ask what their favorite sport is most will probably say baseball. Just as if you go to a basketball court, most would respond with basketball as their favorite sport. I suggest not going to anything related to sports and asking random people.
Mr. Frankel bought 8 tickets to a puppet show and spent $30. He bought a combination of child tickets for #3 each and adult tickets for $5 each. How many adult tickets did Mr. Frankel buy?
How many adult tickets did he buy
please explain steps
Answer:
3 adult tickets and 5 children tickets.
Step-by-step explanation:
Make a chart:
1 adult + 7 children = 1(5)+7(3) = 26
2 adults + 6 children = 2(5)+6(3) = 28
3 adults + 5 children = 3(5)+5(3) = 30
4 adults + 4 children = 4(5)+4(3) = 32
5 adults + 3 children = 5(5)+3(3) = 34
6 adults + 2 children = 6(5)+2(3) = 36
7 adults + 1 child = 7(5)+1(3) = 38
The answer in bold is the only one that leads to $30, therefore he bought 3 adult tickets and 5 children tickets.
4 A roll of paper is shown below.
Tube
About how much cardboard is needed to make the inner tube for a roll of paper if the tube
has a diameter of 4.5 cm and is 24 cm long?
F 339 cm2
G 679 cm2
H 371 cm2
J
382 cm2
Answer:
339 cm²
Step-by-step explanation:
Using the relation for the surface area of a cylinder :
A = 2πrh
r = Radius = diameter / 2 = 4.5 / 2 = 2.25 cm
Height, h = 24 cm
A = 2 * 22/7 * 2.25 * 24
A = 339.29200 cm²
Surface Area =339 cm²
About 339cm³ of cardboard will be needed for the inner tube.
To make inner tube card board needed is 339 cm² of the material.
What is Surface area ?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Here, diameter = 4.5 cm
then, radius = 4.5/2 = 2.25 cm
height = 24 cm
Surface area = 2πrh
= 2 X 3.14 X 2.25 X 24
= 339.12 cm²
Thus, to make inner tube card board needed is 339 cm² of the material.
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Use the drop-down menus below to state the sequence of transformations that maps
Figure V onto Figure W in the animation below. Then use those transformations to
determine: are the two figures congruent? Use the drop-down menus to explain why
or why not.
Answer:
nonrigid and segement lengths
Step-by-step explanation:
A. 1/36
B. 1/18
C. 1/3
D. 1/6
Answer:
C
because it looks right
Answer:
1/36
Step-by-step explanation:
On the first cube, there is a 1/6 probability to roll a 1. On the second cube, theres is a 1/6 probability to roll a 6
Multiply the two fractions and it would equal 1/36
There would be a 1/36 probability.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
What is the probability of getting a heads on a coin and then getting a 5 on a number cube?
Answer:
In probability theory, sample space (also called sample description space[1] or possibility space[2]) of an experiment or random trial is the set of all possible outcomes or results of that experiment.[3] A sample space is usually denoted using set notation, and the possible ordered outcomes are listed as elements in the set. It is common to refer to a sample space by the labels S, Ω, or U (for "universal set"). The elements of a sample space may be numbers, words, letters, or symbols. They can also be finite, countably infinite, or uncountably infinite.[4]
For example, if the experiment is tossing a coin, the sample space is typically the set {head, tail}, commonly written {H, T}.[5] For tossing two coins, the corresponding sample space would be {(head,head), (head,tail), (tail,head), (tail,tail)}, commonly written {HH, HT, TH, TT}.[6] If the sample space is unordered, it becomes {{head,head}, {head,tail}, {tail,tail}}.
For tossing a single six-sided die, the typical sample space is {1, 2, 3, 4, 5, 6} (in which the result of interest is the number of pips facing up).[7]
A subset of the sample space is an event, denoted by E. Referring to the experiment of tossing the coin, the possible events include E={H} and E={T}.[6]
A well-defined sample space is one of three basic elements in a probabilistic model (a probability space); the other two are a well-defined set of possible events (a sigma-algebra) and a probability assigned to each event (a probability measure function).
Another way to look at a sample space is visually. The sample space is typically represented by a rectangle, and the outcomes of the sample space denoted by points within the rectangle. The events are represented by ovals, and the points enclosed within the oval make up the event.[8]
Answer:
1/12 or 0.0833333333
Step-by-step explanation:
0.5 probability of getting heads
1/6 probability of getting a 5
1/6 * 1/2 = 1/12
1+2x+x^2 = y Given x = 1
Answer: y=16
Step-by-step explanation:
Hope this helps
When deciding on an outfit, Alex can choose from 3
pairs of shoes, 3 pairs of pants, and 6 shirts. How many
different outfits are possible, if Alex chooses exactly 1
pair of shoes, 1 pair of pants, and 1 shirt?
F. 136
G. 54
H. 36
J. 15
K. 12
Answer:
54
Step-by-step explanation:
3*6*3=54
The solution is Option G.
The number of ways of choosing exactly 1 pair of shoes, 1 pair of pants, and 1 shirt is given by combination C = 54 ways
What are Combinations?The number of ways of selecting r objects from n unlike objects is:
ⁿCₓ = n! / ( ( n - x )! x! )
where
n = total number of objects
x = number of choosing objects from the set
Given data ,
Let the number of ways of choosing exactly 1 pair of shoes, 1 pair of pants, and 1 shirt be C
Now , the equation will be
The total number of shoes = 3 pairs
The total number of pants = 3 pairs
The total number of shirts = 6 shirts
And , the number of ways of choosing exactly 1 pair of shoes, 1 pair of pants, and 1 shirt is calculated by Combination , where
The number of ways of selecting 1 pair of shoes = ³C₁
The number of ways of selecting 1 pair of pants = ³C₁
The number of ways of selecting 1 shirt = ⁶C₁
So , the total number of ways = ³C₁ x ³C₁ x ⁶C₁
On simplifying the equation , we get
The total number of ways C = 3 x 3 x 6
The total number of ways C = 54 ways
Hence , the combination is C = 54 ways
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Using the formula A = bh, find the area of the parallelogram
Answer:
36 sq ft
Step-by-step explanation:
A=bh
A=(12)(3)
A=36
Answer:
36
Step-by-step explanation:
base=12
height=3
3 times 12 equals 36
PLZZ HURRY NO LINKS!!!! Joseph attends a school that has 800 students. He is in charge of school dances this year. He surveyed a random sample of 100 students and got the following feedback.
710
of the students would attend any of the dances held at the school
25
of the students would like to have pizza served at the dances
410
of the students would attend a square dance
64% of the students think that the dances should be held after football games
18% of the students are not allowed to attend dances at school
Which THREE statements are supported by Joseph's data?
A
Out of 800 students, Joseph could expect around 480 students to attend a square dance.
B
Joseph should plan for around 560 students at each dance based on the data.
C
Joseph found that no more than 320 students would want pizza at the school dance.
D
Out of the 800 students, 288 do not like to attend dances after the football games.
E
The dances will be attended by around 700 of the students that attend the schoo
Answer: I got answers A, B and E
Step-by-step explanation:
The correct three statements are supported by Joseph's data are as follows;
Joseph should plan for around 560 students at each dance based on the data.
The dances will be attended by around 700 of the students that attend the school.
Out of the 800 students, 288 do not like to attend dances after the football games.
What is the data set?A data set is a collection of numbers or values that relate to a particular subject.
Joseph attends a school that has 800 students. He is in charge of school dances this year.
He surveyed a random sample of 100 students and got the following feedback.
7/10 of the students would attend any of the dances held at the school.2/5 of the students would like to have pizza served at the dances.4/10 of the students would attend a square dance.64% of the students think that the dances should be held after football games.18% of the students are not allowed to attend dances at school.1. Here 7/10 of the students would attend any of the dances held at the school.
[tex]=\dfrac{ 7}{10}\times 800\\\\= 7 \times 80\\\\= 560[/tex]
Joseph should plan for around 560 students at each dance based on the data.
2. 18% of the students are not allowed to attend dances at school.
[tex]= (1-0.18)\times 800\\\\= 0.82 \times 800\\\\=656[/tex]
The dances will be attended by around 700 of the students that attend the school.
3. 64% of the students think that the dances should be held after football games.
[tex]=(1-0.64 )\times 800\\\\= 0.36 \times 800\\\\=288[/tex]
Out of the 800 students, 288 do not like to attend dances after the football games.
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I NEED HELP ASAP!!!!!!! pleaseeee
At your local store, you are given a coupon for 20% off any store item purchased on Monday. When you return to your store, you notice that an item (normal price = $50) is on clearance for 40% off. You are allowed to use the coupon on the clearance item. How much should you pay for the item? Should it be 60% off of the normal price?
Answer:
$24
no, it is 48% off normal price
Step-by-step explanation:
clearance price = normal price - value of the 40% discount
value of the 40% discount = 0.4 x $50 = $20
Price = $50 - $20 = $30
final price = clearance price - value of 20% coupon
value of 20% coupon = 0.2 x $30 = $6
final price = $30 = $6 = $24
total value off normal price = $24 /$50 x 100 = 48%
Help me please help me I really need help
Answer:
44%
0.44 is 44% of 1.
In a class of 50 students, the number of students who offer accounting is twice as the number who offer economics.10 students offer neither of the subject and 5 students offer both subject. (i)illustrate the information on a Venn diagram. (ii) how many students offer accounting? (iii) how many students offer economics? (iv)how many students offer only 1 subject?
The Venn diagram shows that the number of students who offer accounting is 30.
How to explain the Venn diagram?It should be noted that a Venn diagram is an illustration which uses circles to show the relationship between the objects.
The number of students who offer accounting is:
= 25 + 5
= 30
The number of students who offer Economics is:
= 10 + 5
= 15
The number of students who offer only one subject will be:
= 25 + 10
= 35
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If you roll two dice, what is the probability that the sum is 9?
Answer:
1/9
Step-by-step explanation:
The probability of getting 9 as the sum when 2 dice are thrown is 1/9.
The temperature outside is -4 degrees. If it drops 5 degrees during the night, what will the
temperature be?
Answer:
-9
Step-by-step explanation:
YALL PLEASE PLEASE DIS A TEST!!
help me, the question is down below
Answer:
C
Step-by-step explanation:
6.3/3 = 2.1
12.6/6 = 2.1
18.9/9 = 2.1
What is the area of the trapezoid? The diagram is not drawn to scale.
A. 36 cm2
B. 9 cm2
C. 21 cm2
D. 16.5 cm2
Answer:
Area of trapezoid = 21 cm²
Step-by-step explanation:
Given:
Length of rectangular shape = 4 cm
Width of rectangular shape = 3 cm
Base of triangle = 3 cm
Number of triangle = 3 cm
Find:
Area of trapezoid
Computation:
Area of trapezoid = Area of middle rectangle + Number of triangle[Area of triangle]
Area of trapezoid = [l x b] + 2[(1/2)(b)(h)]
Area of trapezoid = [4 x 3] + 2[(1/2)(3)(3)]
Area of trapezoid = 12 + 9
Area of trapezoid = 21 cm²
HELP PLEASE! If 2 answers, I will vote one Brainliest!
Answer:
answer: x = 55
Step-by-step explanation:
Because a triangle will add up to 180 degrees 2 of are angles are given so I will subtract them from 180 for answer so 27 + 98 = 125
180 - 125 = 55 Hope this helps!
Answer:
x = 55°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 angles from 180° for x
x = 180° - (98 + 27)° = 180° - 125° = 55°
Circle T has a center at the origin and passes through Point P (-3 2).
1. Graph Circle T on a coordinate plane.
2. Choose a method for solving for the length of the radius. In complete sentence, explain the steps necessary to find the length. In your explanation, be sure to include your numerical answer for the radius.
3. Write the equation of Circle T.
Answer: The answer is 1,853 <3
Step-by-step explanation:
a grab bag contains 20 packages worth $0.70 each 15 packages $0.60 each and five packages worth 30 cents each what is the expected value if you have to pay fifty cents each to pick one package at random
Answer:
The expected value is $0.1125
Step-by-step explanation:
The number of packages worth $0.70 in the grab bag = 20
The number of packages worth $0.60 in the grab bag = 15
The number of packages worth 30 cents in the grab bag = 5
The amount paid to pick one package = 50 cents
The number of packages in the bag, n = 20 + 15 + 5 = 40
The total value of the packages in the grab bag, 'V', is given as follows;
V = 20 × $0.70 + 15 × $0.60 + 5 × $0.30 = $24.5
The average value of the packages in the bag, A = V/n
∴ A = $24.5/40 = 0.6125
The expected value is the value of the investment, at a point in time, the expected value E(X) is found by finding the sum of the of the calculations of the possible outcomes as follows
Whereby a $0.70 package is picked up, we have;
E(X)₁ = ($0.70 - $0.50) × 20/40 = $0.10
Whereby a $0.60 package is selected, we have;
E(X)₂ = ($0.60 - $0.50) × 15/40 = $0.0375
Whereby a $0.30 package is selected, we have;
E(X)₃ = ($0.30 - $0.50) × 5/40 = $(0.025)
Therefore, the expected value, E(X), is found as follows;
E(X) = E(X)₁ + E(X)₂ + E(X)₃
E(X) = 0.1 + 0.0375 - 0.025 = $0.1125
The expected value, E(X) = $0.1125