Answer:
C. QR = 2 • PR
Step-by-step explanation:
According to given information we can draw a right triangle with angle measures as follows :
30-60-90 and for this special right triangle the side length would follow as:
The side length that sees angle measure 30 = a
The side length that sees angle measure 60 = a[tex]\sqrt{3}[/tex]
The side length that sees angle measure 90 = 2a
following this information the:
PR(sees 30 degrees) = a (can be represented as PR in this case)
and so
QR(sees 90 degrees) = 2a (2*PR in this case)
PQ(sees 60 degrees) = a[tex]\sqrt{3}[/tex] ([tex]\sqrt{3}[/tex] *PQ in this case)
The correct option is C. QR = 2 • PR
Which statements are true about the functions. Picture attached
Answer:
Option 1, 3, 4 are true
Step-by-step explanation:
Answer:
statement 1 3 and 4 are correct
FSA Mathematics Practice Test Questions
Session 1
2.
What fraction is represented by point A on the number line shown?
The bedroom and office in the diagrams below are similar rectangles. The walls on the left sides in the diagram are proportional, and the walls on the top sides in the diagram are proportional. How long is the missing wall of the office (shown in red below)?
Answer:
D. 16.8
Step-by-step explanation:
The missing wall of the office would be; 16.8 feet long.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We are given that bedroom and office in the diagrams below are similar rectangles.
It is given that the walls on the left sides in the diagram are proportional, and the walls on the top sides in the diagram are proportional.
Threfore, we get;
x/10 = 14 /12
Solving;
x = 14/12 (10)
x = 16.8
Hence, the value of the missing wall x is 16.8 feet.
More can be learned about proportions at;
brainly.com/question/24372153
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A red die and a blue die are rolled. You win or lose money depending on the sum of the values of the two dice. If the sum is 6 or 10, you win $4. If the sum is 5, 9, or 12, you win $1. If the sum is any other value (2, 3, 4, 7, 8, or 11), you lose $2. Let X be a random variable that corresponds to your net winnings in dollars. What is the expected value of X
Answer:
The expected value of X is $0.0833.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
For each dice, there are 6 possible outcomes(values from 1 to 6). So for 2 dices, there are [tex]6^2 = 36[/tex] desired outcomes.
Desired outcomes:
Sum 5: (1,4), (2,3), (3,2), (4,1).
Sum 6: (1,5),(2,4),(3,3),(4,2),(5,1)
Sum of 9: (3,6), (4,5), (5,4), (6,3)
Sum of 10: (4,6), (5,5), (6,4)
Sum of 12: (6,6)
Probabilities:
5 + 3 = 8 outcomes in which the sum is 6 or 10, that is, 8/36 probability of winning $4.
4 + 4 + 1 = 9 outcomes in which the 5, 9, or 12, that is, 9/36 probability of winning $1.
36 - (8 + 9) = 36 - 17 = 19 remaining outcomes, that is, 19/36 probability of losing $2.
What is the expected value of X?
Multiplication of each outcome by its probability. So
[tex]E(X) = \frac{8}{36}*4 + \frac{9}{36}*1 - \frac{19}{36}*2 = \frac{8*4 + 9*1 - 19*2}{36} = \frac{32 + 9 - 38}{36} = \frac{3}{36} = 0.0833[/tex]
The expected value of X is $0.0833.
What is the value of S3 for
20/9
20/3
65/9
65/3
Answer:
65/9
Step-by-step explanation:
Substitute 3 for the infinity sign above the sigma and solve with a calculator. Correct edge2021
Help I would love to give you a thanks
Answer:
Formula
Step-by-step explanation:
Answer:
formula because it gives you the number and tells you what to do.
Pythagorean theorem 3d
The Flat Family’s roof is 60 feet long and 32 feet wide. The TV antenna is 30 feet tall. The wires are attached 5 feet below the top of the antenna.
Mr. Flat needs to buy wire at his local hardware store. He decides to buy an additional 10% more than the amount we calculate…so he has enough to attach each wire on each end. How much total wire should he buy? Show all of your work so that Mr. Flat can understand it, and round your answer reasonably.
Answer:
ihhrhi2rhhb4rhbur4hbur4hb43hubr4u3br
Step-by-step explanation:
Find angle R as shown by the picture
I need an explanation
Will name brainliest
Answer: C. 39 degrees
Step-by-step explanation: Hope this help :D
11 more than a number k equals 29.
HELP ME PLSSSSSSS
Answer:
11+k=29
Step-by-step explanation:
So "more than" means addition.
let's solve this for fun
11 + k =29
k = 29-11
k= 18
What is the length of EF? (PLEASE HELP)
4π
2π
8π
π
Answer: 8 pie
Step-by-step explanation:
8====>
The length of the given arc is determined as 2π.
option B is the correct answer.
What is the length of the arc EF?The length of the arc EF is calculated by applying the formula for the length of an arc as shown below;
EF = θr
where;
θ is the angle subtended by the arcr is the radius of the sectorFrom the given diagram, the radius of the arc = 4, and the angle subtended by the arc = π/2
The length of the arc is calculated as follows;
EF = ( π/2 ) x 4
EF = 2π
Thus, the length of the given arc is determined by applying the formula for length of an arc.
Learn more about length of arc here: https://brainly.com/question/2005046
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HIGH POINTS)Please help! (20 points)
Answer:
What the other person said
Step-by-step explanation:
10. Beth has a wooden box. The inside of the box is 5 inches wide, 8.25
inches long, and 4.5 inches tall.
Answer:
185.625in^2
Step-by-step explanation:
This is volume right?
5*8.25*4.5=
Which of the following is three dimensional and indefinitely large ?
Complete question is;
Which of the following is three-dimensional and infinitely large?
A. A solid
B. A line
C. A plane
D. Geometric space
Answer:
D. Geometric space
Step-by-step explanation:
The answer is option D.
A one dimensional object has only length, a two dimensional object has length and breadth, while a 3 dimensional object has length, breadth and depth.
Thus, a line is a one dimensional object because it has just length.
A plane is a two dimensional object.
While a solid and geometric space are both 3 dimensional objects.
However, solid is finitely large while geometric space is infinitely large.
Residents in a city are charged for water usage every three months. The water bill is computed from a common fee, along with the amount of water the customers use. The last water bills for 40 neighborhood residents are displayed in the histogram below.
A histogram titled Neighborhood Monthly water bill has monthly water bill (dollars) on the x-axis and frequency on the y-axis. 100 to 125, 1; 125 to 150, 2; 150 to 175, 5; 175 to 200, 10; 200 to 225, 13; 225 to 250, 8.
Which interval contains the median water bill?
$150–$175
$175–$200
$200–$225
$225–$250
The interval which contains the median water bill is $200 - $225
The tabulated data :
Class interval ____ Frequency ___ Cummulative frequency
100 to 125, ________ 1 ___________ 1
125 to 150, 2 ______ 2 ___________3
150 to 175, 5 _______5 ___________8
175 to 200, 10 ______10 __________18
200 to 225, 13 _____13 __________ 31
225 to 250, _______ 8 __________40
The median class = Cummulative frequency / 2
The median class = 40 / 2
The class interval which contains the 20th frequency.
This is the 200 - 225 class
The interval which contains the median water bill is $200 - $225
Learn more : https://brainly.com/question/300591
Rectangle ABCD has vertices A(–6, –2), B(–3, –2),
C(–3. –6), and D(–6, –6). The rectangle is translated so that the coordinates of the image are A’(–10, 1), B’(–7,1),
C’(–7, –3), and D’(–10, –3).
Which rule was used to translate the image?
Answer:
The rule is ( x - 4, y + 3)
Step-by-step explanation:
Airplane A is flying directly toward the airport which is 30 miles away. The pilot notices Airplane B 40 degrees to her right. Airplane B is also flying directly toward the airport. The pilot of Airplane B calculates that Airplane A is 30 degrees to his left. Based in that information, how far is Airplane B from the airport?
9514 1404 393
Answer:
38.6 mi
Step-by-step explanation:
The law of sines applies.
b/sin(B) = a/sin(A)
a = b(sin(A)/sin(B)) = (30 mi)sin(40°)/sin(30°)
a ≈ 38.6 mi
Airplane b is about 38.6 miles from the airport.
_____
We have used the usual convention that the side opposite an angle is named using the lower-case letter naming the angle. Here, the angles are named by the airplane designator (A or B).
Answer:
We have used the usual convention that the side opposite an angle is named using the lower-case letter naming the angle. Here, the angles are named by the airplane designator (A or B).
Find the average of 62 ℓ, 28 ℓ, 45 ℓ and 33 ℓ.
Answer:
the average is 168
Step-by-step explanation:
Please help Due in 3 Min!
A bike wheel has a diameter of 21 in. What is the circumference of
the tire? Use 22/7 for π
Answer:
66 in
Step-by-step explanation:
Does anyone know what the answer please?
Answer:
<1 = 73
Step-by-step explanation:
All triangle interior angles add up to 180 so:
<1 + 55 + 52 = 180
<1 + 107 = 180
<1 = 180 - 107
<1 = 73
An expression is shown below:
f(x) = 2x^2 − x − 10
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
What is the area of a parallelogram that has the length of 3.5cm and the height of 2.3cm?
Which of these situations can be represented by the opposite of -25 select all that apply
Answer:
Please give us the situations and then we can answer correctly. :)
Simplify.Solution may include surds
√3x²y².√2x
√6x^3y^2
Step-by-step explanation:
Your car uses 15 1/2 gallons of gasoline on a 310 mile trip
How many solutions exist for the system of equations below?
Answer Choices:
none
one
two
infinitely many
Answer:
None
Step-by-step explanation:
No solutions exist for the system of equations because the system is illogical: 3x+y=3x+y, but 18≠16.
Hurrry dont be bots A bag of marbles has 5 blue marbles, 3 red marbles, and 6 yellow marbles A marble is drawn from the bag at
random. How many possible outcomes are there?
BI
03
O 5
06
O 14
Answer:
14
Step-by-step explanation:
im so sorry that the other people's comments are making you feel uncomfortable :(
there are 14 marbles in total since:
5 marbles+3 marbles+6 marbles = 14 marbles
each marble has one chance of being pulled out, therefore, there are 14 different outcomes.
find the value of x
help pleaee
Answer:
x = 180 - 57 - 79 = 44°
Mr. & Mrs. Dargen spent $46.25 on a meal, about how much should they
leave for a 18% tip?
Answer:
$8.32
Step-by-step explanation:
I found one percent of 46.25 ( which was 0.4625) by dividing it by 100 then i multiplied that number by 18 in order to get how much the 18% tip would be. From that I got 8.325 but since this is in a currency the answer would be 8.32
thats just how I do it there's other ways
Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.
Answer:
A,B,D
Step-by-step explanation: