There are four points on a line: A, B, C and D, so that AB=1, BC=2, CD=4. Find all the possibilities of the length of segment AD.
Answers
Answer:
{1, 3, 5, 7}
Step-by-step explanation:
There are four possibilities:
AD = AB -BC -CD = 1 -2 -4 = -5
AD = AB +BC -CD = 1 +2 -4 = -1
AD = AB -BC +CD = 1 -2 +4 = 3
AD = AB +BC +CD = 1 +2 +4 = 7
Possible lengths of AD are 1, 3, 5, 7.
__
The negative sign means the segment is added toward the left instead of toward the right. A final negative value means D is left of A, instead of to the right.
Related Questions
Plz help I’ll mark brainliest
Answers
Answer:
Step-by-step explanation:
Using Pythagoras Theorem, hypotenuse = 5
[tex]h = \sqrt{a^{2}+ b^{2}[/tex]
[tex]h = \sqrt{9+16 }\ = \sqrt{25}\ = 5[/tex]
sin x = height / hypotenuse = 3 / 5
cos y = base / hypotenuse = 3 / 5
sin x = cos y = 3 / 5
*PLEASE ANSWER TY* A scale factor of 2 is applied to the dimensions of the prism. What effect will this have on the volume?
Answers
Answer:
The volume will be 8 times larger.
Step-by-step explanation:
Volume is cubed which means the volume will be multiplied by 2³ is a scale factor of 2 is applied to the dimensions. 2³ = 8
The volume will be 8 times larger if the scale factor of 2 is applied to the dimensions of the prism option (C) the volume will be 8 times larger is correct.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We have a three-dimensional figure shown in the picture.
The scale factor = 3
As we know, the volume can be found:
Volume = length×width×height
Let the volume of the figure is A
Volume = A cubic in
If the scale factor is applied to the dimensions of the prism:
The volume:
Volume = (2)length×(2)width×(2)height
Volume = 2³(length×width×height)
Volume = 8A
Thus, the volume will be 8 times larger if the scale factor of 2 is applied to the dimensions of the prism option (C) the volume will be 8 times larger is correct.
Learn more about the volume here:
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PLEASE HELP PLEASE WILL MARK BRAINLY
Answers
Answer:
15, 5, 45, 10
Step-by-step explanation:
2 minutes for 10 photos
1 minute for 5 photos
now:
2×5=10
3×5=15
25÷5=5
9×5=45
50÷5=10
You’re welcome
Please answer and show steps. Will mark brainliest.
Answers
Answer:
13.4 meters
Step-by-step explanation:
About the diagram
Attached is a diagram of the problem. The directions North and East are shown so that the usual clockwise from +x measurement of angles will correspond to the bearing angles given in the problem. That is, the bearing of 120° is an angle of 120° measured from North toward East. (The mirroring across the line y=x can be a little mind-bending, but it is isomorphic, so all angles and lengths remain unchanged.)
The other feature of this diagram is the projection of the 3-D problem into two dimensions. Effectively, the center angle rabbit-O-coyote represents a plan view (in the plane of the ground), and the triangles coyote-O-C1 and rabbit-O-R1 represent side views (views in the vertical plane).
The side views let us work out the ground distances O-rabbit and O-coyote, so that we can find the ground distance rabbit-coyote as the problem requests.
__
Problem solution
The distance from the tree (O) to the rabbit is the "adjacent" leg of the 30° angle of elevation from the rabbit to the tree top. The 10 m tree height is the "opposite" leg of that rabbit-O-R1 right triangle. We know the ratio of opposite to adjacent sides gives the tangent of the angle, so we have ...
tan(30°) = 10/(rabbit distance from tree)
Solving for the rabbit distance, we get
rabbit distance = 10/tan(30°) ≈ 17.3205 m
Similarly, the coyote distance from the tree will be ...
coyote distance = 10/tan(20°) ≈ 27.4748 m
__
These are two legs of the rabbit-O-coyote triangle. The angle at O between the rabbit and coyote is 120° -97° = 23°. These values are sufficient to let us use the Law of Cosines to find the distance d from rabbit to coyote:
d² = r² +c² -2rc·cos(23°)
d² = 17.3205² +27.4748² -2·17.3205·27.4748·cos(23°) ≈ 178.769
d ≈ √178.769 ≈ 13.37 . . . . meters
The distance from the rabbit to the coyote is about 13.4 meters.
_____
Additional comment
Note that the angle of depression to the rabbit from the horizontal is the same as the angle of elevation from the rabbit. This lets us draw the diagram without a bunch of extra lines.
5.4(m-2)= -2(3m+3) please help asap
Answers
Answer:
m = 0.421
Step-by-step explanation:
5.4(m-2)= -2(3m+3) (expand parentheses by distributive property)
m(5.4) -2(5.4) = 3m(-2) + 3(-2)
5.4m - 10.8 = -6m - 6 (add 6m to both sides)
5.4m - 10.8 + 6m = - 6
11.4m - 10.8 = - 6 (add 10.8 to both sides)
11.4m = -6 + 10.8
11.4m = 4.8 (divide both sides by 11.4)
m = 4.8 / 11.4
m = 0.421
Answer:
m = 8/19
Step-by-step explanation :
5.4 (m-2) = -2 (3m +3)
54/10 (m-2) = (3m +3) as n = 1
2.3^3 / 2.5 (m-2) = (3m + 3)
4.868 (m-2) = (3m +3)
4.868 + 3 = (3m^2 * m-2)
8 / 9.5 * 2
m = 8 / 19
I don't understand this question, somebody help
Answers
Answer:
H. 50 sq cm
Step-by-step explanation:
Triangle PSU is an equilateral triangle because each side of it is a radius of semicircle TRP. Also, the radius of semicircle TRP is the short side of the rectangle. So, if the total perimeter of the triangle is 15, each side is 5 cm. So, the short side of the rectangle is 5cm and the long side is 5*2 = 10 cm.
5 * 10 = 50 sq cm
An architect maps two buildings, which are located on a piece of land, onto a coordinate plane. He wants to build a wall at the diagonal AC to divide the piece of land into two parts. What will be the length of the wall? A. 65–√ units B. 6 units C. 237−−√ units D. 2 units
Answers
Answer:
[tex] 6\sqrt{5} units [/tex]
Step-by-step Explanation:
The length of the wall = diagonal AC = distance between point A (-6, -2) and point C (6, 4).
Distance formula between two points on a graph (d) = [tex] \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Where,
[tex] A(-6, -2) = (x_1, y_1) [/tex]
[tex] C(6, 4) = (x_2, y_2) [/tex]
[tex] d = \sqrt{(6 - (-6))^2 + (4 -(-2))^2} [/tex]
[tex] d = \sqrt{(6 + 6)^2 + (4 + 2)^2} [/tex]
[tex] d = \sqrt{(12)^2 + (6)^2} [/tex]
[tex] d = \sqrt{144 + 36} [/tex]
[tex] d = \sqrt{180} [/tex]
[tex] d = \sqrt{36*5} [/tex]
[tex] d = 6\sqrt{5} [/tex]
The length of the wall = [tex] 6\sqrt{5} units [/tex]
CAN SOMEWON HELP ME PLZZZ I DONT GET IT
Answers
Hey there! I'm happy to help!
We want to put this 0.002 into scientific notation, where you put it as a one digit number multiplied by 10 raised to a certain power.
If we move the decimal to the right 3 times, we will have 2. We will multiply this 2 by [tex]10^-^3[/tex] to show that it is still equal to 0.002.
So, the mass of the mustard seed is 2×[tex]10^-^3[/tex].
Now, we multiply this mustard seed mass by the number of mustard seeds to find the weight of all of the mustard seeds combined.
(2×[tex]10^-^3[/tex])×(4.3602×[tex]10^4[/tex])
Let's round 4.3602 to the nearest whole number, which is 4. We multiply those two together.
2×4=8
And we multiply the two exponents. When multiplying them, you add the numbers in the exponent. -3 and 4 combined gives us 1, and 10 the first power is just 10.
So, a good estimate for the mass of the mustard seeds is 80 grams, which is the same as (2×[tex]10^-^3[/tex])×(4×[tex]10^4[/tex])=8×[tex]10^1[/tex]
Have a wonderful day! :D
Answer:
Hey There!! The answer to this is B: The mass of a single seed can be written as
There are total of seeds in the jar
Total mass is the multiplication of these both numbers.
Since we want an estimate, we can use 4 instead of 4.3602 in the 2nd number.
The rule to multiply two numbers in scientific notation is:
So using this formula we multiply the 2 numbers and get answer as follows:
Thus, Answer choice B is right.
Hope It Helped!~ ♡
ItsNobody~ ☆
According to Newton's Second Law of Motion, the sum of the forces that act on an object with a mass m
that moves in an acceleration a is equal to m . a
An object whose mass in 80 grams has an acceleration of 20 meters per seconds square.
What calculation will give us the sum of the forces that act on the object, in Newtons (which are
kg.m/s2)?
Choose 1 answer.
A 80 . 20
B 80 . 1000 . 20
C 80/1000 . 20
D 80/602. 20
Answers
Answer: 80/1000 • 20
Answer:
Screenshots attached! Hope it helps :)
pls help this is from khan academy
Answers
Answer:
[tex]y=-3x+7[/tex]
Step-by-step explanation:
This is asking you to provide the equation is slope-intercept form:
[tex]y=mx+b[/tex]
In this equation, m is the slope of the line and b is the y-intercept (where the x value is 0).
By looking at the graph, we can find the y-intercept:
[tex]y-intercept=7\\\\m=7[/tex]
To find the slope of the line, you can count how many spaces it takes to go from one point to another. To do this, it's best to find an even point (1,4) and make your way to (0,7).
The slope is represented by [tex]\frac{rise}{run}[/tex] , where the rise is the change in the y-axis and the run is the change in the x-axis.
From (1,4) , move up (rise) as many spaces as it takes to get to the y-axis level of "7", which is 3 spaces. From here, move to the left (run) as many spaces as it takes to get to the x-axis level of "0", which is 1 space. Since you moved to the left, however, this means that the number will be a negative:
[tex]\frac{rise}{run}=\frac{3}{-1}=-\frac{3}{1}=-3[/tex]
The slope is -3.
Insert the information into the equation:
[tex]y=-3x+7[/tex]
:Done
Answer:
the desired equation is y = -3x + 7
Step-by-step explanation:
The y-intercept can be read directly from the graph: (0, 7).
Another point on the graph is (2, 1).
As we move from (0, 7) to (2, 1), we see x (the run) increasing by 2 and y (the rise) decreasing by 6. Thus the slope of this line is m = rise/run = -6/2, or -3.
Start with the slope-intercept form of the equation of a straight line, which is y = mx + b.
Then 1 = (-3)(2) + b; find b:
1 = -6 + b, or b = 7
Then the desired equation is y = -3x + 7.
What is the range of the function shown in the graph below? answer type: interval, all real values except one, all real values except two, all real numbers Interval:
Answers
Answer:
Step-by-step explanation:
There is a graph from minus infinity to y = -6.
The range is (-infinity, -6).
The domain of the graphed function is (-∞, 8] and the range of the graphed function is (-∞, -6].
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The function is shown.
The domain of the graphed function will be given by observing the graph.
Then the domain will be (-∞, 8].
And the range of the graphed function will be given by observing the graph.
Then the range of the graphed function will be (-∞, -6].
Thus, the domain of the graphed function is (-∞, 8] and the range of the graphed function is (-∞, -6].
More about the domain and range link is given below.
https://brainly.com/question/12208715
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Which of the following is true? three and two fifths plus four and two sevenths equals seven and four twelves two and five eighths plus six and one sixth equals eight and six twenty fourths four and eight tenths plus five and two sixths equals ten and eight sixtieths six and seven twelves plus three and nineteen twenty fourths equals nine and nine twenty fourths
Answers
Answer: The answer is c
Step-by-step explanation:
Which statements could he include in his explanation? Select two options.
The domain of both functions is all real numbers.
The domain of f(x) is x > 5.
The domain of g(x) is x > 5.
The range of f(x) is y > 0.
The range of g(x) is y > 0.
Answers
Answer:
The domain of fx is x>5
The domain of gx is x>5
The statements could he include in his explanation are
a. The domain of fx is x>5.
b. The domain of gx is x>5.
What is the function?A function is defined as a relationship between a set of inputs and a single output. A function is an input-output relationship in which each input corresponds to exactly one output.
A function is a sort of rule that generates a single output for a single input. The image was given by Alex Federspiel. A good example is y=x2. You will only get one output for y if you enter anything for x. We can say that y is a function of x because x represents the input value.
Both functions are real numbers, so, f(x) is x > 5 and g(x) is x > 5 will be correct.
Therefore, the correct options are, a. The domain of fx is x>5 and b. The domain of gx is x>5.
To learn more about the function, refer to the link:
https://brainly.com/question/28269290
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Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the left.
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the right.
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at negative 0.5 and a bold line starts at negative 0.5 and is pointing to the left.
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at negative 0.5 and a bold line starts at negative 0.5 and is pointing to the right.
Answers
Answer:
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at negative 0.5 and is pointing to the left.
Step-by-step explanation:
Required
[tex]2x - 6 \geq 6(x - 2) + 8[/tex]
Required
Determine the number line
[tex]2x - 6 \geq 6(x - 2) + 8[/tex]
Open the bracket
[tex]2x - 6 \geq 6*x - 6*2 + 8[/tex]
[tex]2x - 6 \geq 6x - 12 + 8[/tex]
[tex]2x - 6 \geq 6x - 4[/tex]
Collect Like Terms
[tex]2x - 6x \geq 6 - 4[/tex]
[tex]- 4x \geq 2[/tex]
Divide both sides by -4
[tex]\frac{- 4x}{-4} \geq \frac{2}{-4}[/tex]
[tex]x \leq -0.5[/tex]
From the list of given options, the correct answer is option C
Answer:
b
Step-by-step explanation:
Among Patients who did not relapse which statement was most effective and what’s its conditional relative frequency
Answers
Answer:
For those who achieve a year of sobriety, less than half will relapse. If you can make it to 5 years of sobriety, your chance of relapse is less than 15 percent.
So A
Answer:
2
Step-by-step explanation:
Vertex Form y=a(x-h)^2+k what does each variable represent if they were in a problem.
Answers
h represents the x coordinate of the vertex (don’t forget that the - sign changes weather the number is + or -)
k represents the y coordinate of the vertex
find the x value for this problem
Answers
180 = 75 + 25 + x
x = 180 - 75 - 25
x = 80°
Answer:
x = 80
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
25+x = 105
Subtract 25 from each side
25+x-25 = 105-25
x = 80
Jamaal spent x minutes today practicing his guitar and y minutes today on homework. If the total time he spent on both is 45 minutes or more, which inequality best represents his practice time?
x + y < 45
x + y > 45
x + y ≤ 45
x + y ≥ 45
Answers
Answer:
x + y ≥ 45
Step-by-step explanation:
This is because the total amount of minutes could be equal to 45, meaning your inequality sign has to have a line underneath it.
Additionally, x + y is greater than or equal to because the amount could be more than 45... therefore, 45 is not greater than x + y
Hi there! Hopefully this helps!
----------------------------------------------------------------------------------------------------------
If the total time he spent on both is 45 minutes or more, the answer is:
x + y ≥ 45.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hints for next time
(≥ Means greater than or equal to.)
(≤ Means less than or equal to)
(> Greater than)
(< Less than)
help plz help me .me no good
Answers
Answer:
50,000,000
Step-by-step explanation:
5 * 10 ^7
The 7 in the exponent means move the decimal 7 places to the right
5. We need to add 7 zeros
50000000
50,000,000
asap please x÷7=11÷15help
Answers
Answer:
x = 77/15 or 5 2/15
Step-by-step explanation:
x/7 = 11/15
Multiply each side by 7
x/7 *7 = 11/15 *7
x = 77/15
We can leave as an improper fraction or change to a mixed number
15 goes into 77 5 times with 2 left over
5 2/15
━━━━━━━☆☆━━━━━━━
▹ Answer
x = 77/15, 5 2/15, or 5.13
▹ Step-by-Step Explanation
x ÷ 7 = 11 ÷ 15
15x = 77
Divide both sides by 15:
x = 77/15, 5 2/15, or 5.13
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
help me find VW and YZ
Answers
Answer:
VW=35
YZ=50
Step-by-step explanation:
As they are similar triangles with a ratio of 1:2 and we know VW:XZ=1:2, we can make the equation:
2(4y+7)=12y-14
8y+14=12y-14
4y=28
y=7
So, VW=4(7)+7=35.
Similarly, you can find YZ through VT:
2(7x-17)=8x+2
14x-34=8x+2
6x=36
x=6
Therefore, YZ=8(6)+2=50.
YZ=50 I believe this is the correct answer
Directions: Calculate the percent increase or decrease between the starting and ending
quantities below. Round your answer to one decimal place.
1. Start: 3
End: 10
2. Start: 9
End: 20
3. Start: 100
End: 85
4. Start: 45
End: 20
5. Start: 30
End: 60
Answers
I'll do the first two to get you started
===============================================
Problem 1
A = 3 = starting value
B = 10 = ending value
C = percent change
C = [ (B - A)/A ] * 100%
C = [ (10-3)/3 ] * 100%
C = (7/3) * 100%
C = 2.3333333 * 100%
C = 233.33333%
C = 233.3%
The positive C value means we have a percent increase. If C was negative, then we'd have a percent decrease.
Answer: 233.3% increase===============================================
Problem 2
A = 9 = start value
B = 20 = end value
C = percent change
C = [ (B - A)/A ] * 100%
C = [ (20-9)/9 ] * 100%
C = (11/9)*100%
C = 1.2222222222*100%
C = 122.22222222%
C = 122.2%
Answer: 122.2% increasePLEASE HELP!!!!! I BEG OF EVERYONE. FIRST CORRECT WILL GET BRALIEST!!!!!!! How far have I travelled if I biked at 10mph for hhrs, I walked at 3mph for twice as long as I biked, and ran at 10mph for one quarter as long as I walked?
Answers
Answer:
32 miles/4 hours.
Step-by-step explanation:
What is the determinant of H = 2 4 9
3 3 1
4 5 3
Answers
Answer:5,3,7
2,4,9
3,6,4
Step-by-step explanation:he determinant of a 2 x 2 matrix A,
EVALUATING A 2 X 2 DETERMINANT,
DETERMINANT OF A 3 X 3 MATRIXFINDING THE DETERMINANT OF' A MATRIX,
FINDING THE COFACTOR OF AN ELEMENT, ,EVALUATING A 3 X 3 DETERMINAN,
EVALUATING A 4 X 4 DETERMINANT
voila
Answer: The answer is 15. You can use the calculator in Edge2020
Step-by-step explanation:
Edg2020
I will give BRAINIEST to the next person who answers this!!
Answers
Answer:
Challenge #1:
Different examples:
2x+1=3x+2
4x+3=5x+4
3x+2=4x+3
Challenge #2:
Different examples:
2x+0=4x+1
3x+1=2x+5
6x+5=8x+6
Answer:
(-2x + 1 = 1x + 1) or (-4x + 2 = 2x + 2)
Step-by-step explanation:
A grocery store recently sold a bag of peanuts for $0.76 and a bag of Pikachu's for $3.68 at the end of the day 50 bags of peanuts and Pikachu's were sold for a total of 128 point 52 how many bags of each were sold
Answers
Answer:
31 Pikachu bags were sold.
19 peanut bags were sold.
Step-by-step explanation:
Let's set up an equation of the total revenue of the day, where x is the number of Pikachu's sold.
We know that the number of Peanuts sold is 50-x (as the total needs to be 50)
We know that the total revenue is:
Number of Pikachus * Cost per Pikachus + Number of Peanuts * Cost per Peanuts
Using our definitions above:
Total Revenue = x * $3.68 + (50-x) * $0.76
We know that the revenue needs to be $128.52.
$128.52 = x * $3.68 + (50-x) * $0.76
Let's remove the $ signs.
128.52 = x * 3.68 + (50-x) * 0.76
Multiplying both 50 and -x with 0.76, "expanding" the parenthesis.
128.52 = x*3.68 + 50*0.76 - x*0.76
128.52 = x*3.68 + 38 - 0.76*x
Subtracting 38 from both sides
90.52 = 3.68*x - 0.76*x
We can simplify the right side.
90.52 = 2.92*x
We can divide both sides by 2.92:
31 = x
And flip it:
x = 31
So 31 Pikachus were sold (remember we claled that x), and as we know, the number of peanut bags sold is
50-x = 50-31 = 19
31 Pikachu bags were sold.
19 peanut bags were sold.
[tex] \LARGE{ \boxed{ \rm{ \pink{Solution:}}}}[/tex]
Let the number of peanut bags be x
Then, Number of pikachu bags = 50 - x
Given,
Cost of each peanut bag = $0.76Cost of each pikachu bag = $3.68Then,
⇛ Total cost he gets from peanut bag = $0.76 × x
⇛ Total cost he gets from pikachu bag = $3.68(50 - x)
According to question,
⇛ $0.76x+ $3.68(50 - x) = $128.52
Solving this equation,
⇛ 0.76x + 184 - 3.68x = 128.52 (Removed $ symbol)
⇛ 184 - 2.92x = 128.52
⇛ 184 - 128.52 = 2.92x
⇛ 55.48 = 2.92x
Flipping the equation,
⇛ 2.92x = 55.48
⇛ x = 55.48 / 2.92
⇛ x = 19
Then,
⇛ 50 - x = 50 - 19 = 31
[tex] \large{ \therefore{ \boxed{ \rm{ \purple{No. \: of \: peanut \: bags = 19}}}}}[/tex]
[tex] \large{ \therefore{ \boxed{ \rm{ \purple{No. \: of \: pikachu \: bags = 31}}}}}[/tex]
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Mathematics, probability and chance Can somebody help me, I always thank and vote
Answers
Answer:
A. 0
Step-by-step explanation:
In order for there to be a 1 in 3 chance, there would have to be an equal number of the three chalices. Since four is the smallest number, the other two must have four left as well. That means Donavan drank 1 spoiled milk and 2 flat sodas. Therefore, he drank 0 purified water.
Find the volume. Show work plz
Answers
Answer:
196π or 615.75 m^3 to the nearest hundredth.
Step-by-step explanation:
This is a cone, so:
Volume = 1/3 π r^2 h
= 1/3 * π * 14^2 * 3
= 196π m^3.
can somewon help me plz i want help
Answers
Answer:
5 * 10^10.
Step-by-step explanation:
(9 * 10^10) - (4 * 10^10) = (9 - 4) * 10^10 = 5 * 10^10.
Hope this helps!
Answer:
5*10^10
Step-by-step explanation:
9 times ten is 9^10, and 4 Times 10^10 is 4^10 so 9^10 minus 4^10 is 50000000000 which is also called 5^10 which is also 5 x 10^10 I think. pls correct me if im wrong
What is the distance between points A and B on the grid? (the grid is shown in the image). A. 3 units B. 4.5 units C. 5 units D. 5.5 units
Answers
=================================================
Explanation:
Since the x coordinates are the same, we can subtract the y coordinates to get
1.5 - (-3.5) = 1.5 + 3.5 = 5
Note how subtracting a negative is the same as adding.
-------
We can subtract in the other order
-3.5 - 1.5 = -5
but we need to make this result positive. A negative distance is not allowed. Absolute value is applied to make the result positive
|-5| = 5
