Answer: If drew drew a pair of lines and draw the segment between them, in a way that the segment is delimited by both lines, then:
If two lines are parallel, then they will never overlap each other, and if you draw a segment between them, then the segment will have two endpoints (one at each intersection with the lines)
So the correct answer is that the parallel lines extend infinitely in both directions, and the line segment has two endpoints.
Trigonometric Identities and Applications?
Trigonometric identities are equations that hold true for all permissible values of the involved variables. They are fundamental to many areas of mathematics and have applications in various fields such as physics and engineering.
Explanation:Trigonometric identities are equations that are true for all values of the variables where both sides of the equation are defined. They are fundamental to the study of mathematics, particularly in geometry, calculus and physics.
Some of the basic trigonometric identities include:
Reciprocal identities:sin = 1/csc θcos = 1/sec θtan = 1/cot θPythagorean identities:sin² θ + cos² θ = 11 + tan² θ = sec² θ1 + cot² θ = csc² θ...Trigonometric identities are widely used in solving trigonometric equations and proving other identities, and in many fields such as engineering, physics and computer science.
Learn more about Trigonometric Identities here:https://brainly.com/question/3785172
#SPJ12
A box contains 3 red balls, 2 white balls, and 5 black balls. two balls are drawn at random from the box (with replacement of the first before the second is drawn). what is the probability of getting a red ball on the first draw and a white ball on the second?
Question 10 an urn contains two white marbles and one black marble. a marble is drawn from the urn without replacement and put aside without my seeing it. then a second marble is drawn, and it is white. what is the probability that the unknown removed marble is white, and what is the probability that it is black?
Final answer:
The probability that the unknown removed marble is white is 1/2, and the probability that it is black is also 1/2. This is calculated by considering the outcomes of the draws, their probabilities, and the fact that drawing a white marble after another without replacement affects the outcomes.
Explanation:
The question involves calculating conditional probabilities in a scenario where marbles are drawn from an urn without replacement. Initially, the urn contains two white marbles and one black marble. A marble is drawn and set aside (its color unknown), and then a second marble is drawn, which is observed to be white. We are asked to find the probability that the first marble drawn was white, and the probability it was black.
To solve this, we consider the two possible scenarios for the first draw: drawing a white marble or drawing a black marble, and then drawing a white marble in the second draw. The probability of drawing white then another white (WW) equals, the probability of drawing a white marble first (2/3) multiplied by the probability of drawing the second white marble given the first was white (1/2). This gives (2/3)*(1/2) = 1/3. Alternatively, the probability of drawing a black then a white marble (BW) equals the probability of drawing a black marble first (1/3) multiplied by the probability of drawing a white marble given the first was black (2/2) = 1/3, simplifying to (1/3)*(1) = 1/3
To find the probability that the unknown marble is white, we see that both scenarios WW and BW result in drawing a white marble second, so we only need to calculate the probability of the WW scenario over the total probability of drawing a white marble in the second draw. This gives us 1/3 / (1/3 + 1/3) = 1/2. Therefore, the probability that the unknown marble is white is 1/2, and by complement, the probability it is black is also 1/2
△ABC is reflected to form △A′B′C′ .
The vertices of △ABC are A(−7, 1) , B(−5, −3) , and C(−3, 2) . The vertices of △A′B′C′ are A′(−7, −1) , B′(−5, 3) , and C′(−3, −2) .
Which reflection results in the transformation of △ABC to △A′B′C′ ?
A)reflection across the x-axis
B) reflection across the y-axis
C)reflection across y = x
D)reflection across y=−x
Answer:
The correct option is A.
Step-by-step explanation:
The vertices of △ABC are A(−7, 1) , B(−5, −3) , and C(−3, 2) . The vertices of △A′B′C′ are A′(−7, −1) , B′(−5, 3) , and C′(−3, −2) .
The relation between coordinates of preimage and image is defined as
[tex](x,y)\rightarrow (x,-y)[/tex]
Sign of y-coordinate changes but x-coordinate remains the same. It is possible it the figure is reflection across the x-axis.
Therefore the correct option is A.
find the height of each pyramid square pyramid: volume 297 ft cubed area of the base 81 ft squared
I don't know if this is right but I got 0.14
Katie filled a measuring cup with 9/10 of a cup of vegetable oil. Then she poured 1/4 of a cup of the oil into a frying pan. How much oil is left in the measuring cup? Simplify your answer.
The stopping distance s of a car varies directly as the square of its speed v. If a car traveling at 20 mph requires 28 ft to stop, find the stopping distance for a car traveling at 55 mph
BRAINLIEST!!!
What is the trigonometric ratio for sin S?
Enter your answer, as a simplified fraction, in the boxes.
Answer: [tex]\frac{8}{17}[/tex] or 8:17
Step-by-step explanation:
For any angle x (other than right angle) in a right triangle ,the trigonometric ratio of sin x is given by :-
[tex]\sin x=\frac{\text{side opposite to x}}{\text{Hypotenuse}}[/tex]
Given: A right triangle with hypotenuse = 68 units
The side adjacent to S = 60
Let h be the side opposite to S, then using Pythagoras in the given right triangle, we get
[tex](68)^2=60^2+h^2\\\\\Rightarrow\ h^2=68^2-60^2\\\\\Rightarrow\ h^2=1024\\\\\Rightarrow\ h=\sqrt{1024}=32[/tex]
Thus, the side opposite to S = 32 units
Now, the trigonometric ratio for sin S is given by :-
[tex]\sin S=\frac{\text{side opposite to S}}{\text{Hypotenuse}}\\\\\Rightarrow\sin S=\frac{32}{68}=\frac{8}{17}[/tex]
Hence, the trigonometric ratio for sin S =[tex]\frac{8}{17}[/tex] or 8:17
an athlete is training to run a marathon. she plans to run 2 miles the first week. she increases the distance by 8% each week. whixh function models how far she will run in the nth week
A store sells two kinds of candles, scented and unscented. The scented burns 1/12 inches in 20 minutes and the unscented burns 1/6 inches in 30 minutes. Which type of candle burns in 1 hour and what is its burn rate?
Given :The scented burns [tex] \frac{1}{12} [/tex] inches in 20 minutes
The scented candle will burn [tex] \frac{1}{12} times 3 =\frac{1}{4} [/tex] inches in one hour.
The unscented candle burns [tex] \frac{1}{6} [/tex] inches in 30 minutes
In one hour it will burn [tex] \frac{1}{6} times 2=\frac{1}{3} [/tex] inches .
Burn rate of scented is [tex] \frac{1}{4} [/tex] inches per hour.
Burn rate of unscented is [tex] \frac{1}{3} [/tex] inches per hour.
Write a mixed number for p so that 3 1/4 x p is more than 3 1/4
Given: ΔXYZ
AB is a midsegment parallel to XZ. The slope of XZ is 4.
What is the slope of AB?
a leatherback turtle swims at a constant rate of 2.5 kilometers per hour, at its constant rate of speed how long will it take for a leatherback turtle to swim 10 kilometers?
What is 5(7h+3m) equal to?
True Or False
The term software refers to everything from the machine’s operating system (OS) to the individual programs and applications you use to write, listen, speak, sing, or learn.
Omar uses 1/6 of his tickets to ride the water slide. How many tickets does he use he has 24 in total?
Help with this math question please
Akira Chang's uncle dies without a will, leaving an estate of $945,000. His heirs consist of a wife and two adult children. His state requires that, in the absence of a will, each child is to receive two-thirds as much as a spouse. How much will his wife receive?
Compare the Triangle Proportionality Theorem and the Triangle Midsegment Theorem.
What is the Pythagorean Theorem and what is the equation for it?
Find f(1/4) when f(x)=2x^2+9x-7
To find f(1/4) when f(x)=2x^2+9x-7, substitute x=1/4 into the function and simplify.
Explanation:To find f(1/4) when f(x) = 2x² + 9x - 7, we substitute x = 1/4 into the function.
Plugging in the value of x, we have f(1/4) = 2(1/4)² + 9(1/4) - 7.
Simplifying the expression, we get f(1/4) = 2/16 + 9/4 - 7. Evaluating the fractions and subtracting, we find that f(1/4) = -45/16.
Learn more about function evaluation here:https://brainly.com/question/12056604
#SPJ11
Marlena is making fruit salad she will choose from 6 of the 11 different fruits offered at a fruit stand. How many different fruit salads can she make
The Correct answer is 462
solve equations using addition x+y=5 and x-y=3
Calculate the effective rate of interest (to the nearest hundredth percent) of the following Treasury bill. Given: $10,000 Treasury bill, 3.85% for 13 weeks.
which number is least to greatest 42%,0.43,17/40
which of the following statements are true? check all that apply
Answer with explanation:
Mean of this data set
[tex]=\frac{\text{sum of all the observation}}{\text{Total number of observation}}\\\\=\frac{30+37+37+41+22+69+45+64+51+22+63+31+64+65+25+51+26+48+28+49}{20}\\\\=43.4[/tex]
Arranging the data set in ascending order
22, 22,25, 26, 28,30,31,37,37,41,45,48,49,51,51,63,64,64,65,69
Median =Middle observation ,if number of terms is odd
and if number of terms is even, divide number of terms by ,2 and then follow the procedure
[tex]=\frac{10^{th term}+11^{th term}}{2}\\\\=\frac{41+45}{2}\\\\=43[/tex]
To find the Outlier
[tex]Q_{1}=\frac{28+30}{2}=29,Q_{3}=\frac{51+63}{2}=57[/tex]
Interquartile range = 57 - 29=28
Data values are approximately equally distributed on both sides of median.
That is, 43-22=21, and ,69 -43=26
So,we can say that there will be no outliers.
Graph will be positively skewed.
Mean > Median
So,mean will be better measure of central tendency because, 43.4-22=21.4, and 69-43.4=25.6
Option A: There are no outliers.
And, Option C: The Mean is good measure of central tendency.
!Thanks in advance!
One side of a square is 2^3 inches.
What would be the area of the square?
*Solve the equation of 2^3 first*
A circle has an area 324 pi cm. What is the radius?
The radius of the circle with an area of 324π sq cm is 18 cm.
What are the circumference and diameter of a circle?The circumference of a circle is the distance around the circle which is 2πr.
The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.
We know, The area of a circle is πr².
So, We can equate the given area with the general formula,
324π = πr².
r² = 324.
r = 18 cm.
A clock can be thought of as a circle having 12 steps and we know that circle is 360°,
So, the measure of each integer step of a clock is 30°.
Also, If we want to find some portion(arc) of the circumference we use the formula, s = rФ.
learn more about circles here :
https://brainly.com/question/29142813
#SPJ7
your water hose is leaking at a rate of 0.25 cups per hour. how many gallons did you hose leak in a full 24 hour day
Solution:
we are given that
water hose is leaking at a rate of 0.25 cups per hour.
We have been asked to find that
how many gallons did you hose leak in a full 24 hour day.
Since water hose is leaking at a rate of 0.25 cups per hour.
It mean the tank will leak by [tex] 0.25*4=1 \ Cup [/tex] in 4 Hours.
So in 24 Hours the tank will leak by [tex] \frac{24}{4}*1=6*1=6 \ Cups [/tex] .
As we know that 1 Gallon=16 Cups.
It mean in 24 Hours the tank leaked by [tex] \frac{1}{16}*6= 0.375 \ Gallon [/tex]
They could mow the lawn in how many hours if they work together