Answer:
B. hypotenuse
Step-by-step explanation:
Distance formula. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points this builds us our right angle, it is only then it connects to the hypotenuse,
Complete sentence is,
''When you use the distance formula, you are calculating the length of the of hypotenuse of a right triangle.''
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
To find the length by using the distance formula,
Since, We know that;
The length of hypotenuse of a right triangle is find by using distance formula.
Hence, Complete sentence is,
''When you use the distance formula, you are calculating the length of the of hypotenuse of a right triangle.''
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Two sides of a four-sided figure have negative slopes. Which are the endpoints of the sides of this figure? (–4, –4), (–4, –1), (–1, –4), (–1, –1) (–2, –4), (–1, –1), (1, –1), (2, –4) (1, 1), (2, 4), (5, 4), (4, 1) (1, 4), (2, 1), (5, 1), (4, 4)
Answer:
(1,4) (2,1) (5,1) (4,4)
Step-by-step explanation:
The options are:
(-4,-4) (-4,-1) (-1, -4) (-1,-1)
(-2,-4) (-1, -1) (1,-1) (2, -4)
(1,1) (2,4) (5, 4) ( 4,1)
(1,4) (2,1) (5,1) (4,4)
The only one which has two sides with negative slopes is the last one.
Slope of the side that passes through (1,4) and (2,1): (4 - 1) / (1 - 2) = -3
Slope of the side that passes through (4,4) and (5,1): (4 - 1) / (4 - 5) = -3
Answer: D. (1,4) (2,1) (5,1) (4,4)
Step-by-step explanation: On Edgenuity!!!!!!!!!!!!
A new car worth $27,000 is depreciating in value by $3,000 per year.
Complete parts
a. through b. below.
a.Write a formula that models the car's value, y, in dollars, after x years.
y= 0
Answer: Y=24000-3000x
9000=24000-3000x
-15000=-3000x
x=5 years
first we need to set the equation
at plug in all the information we have. In our case, we know cars value or y =9000, we need to find what is the x value
2
we need to subtract 24000 on both sides, and then divide by -3000 on both sides, and find out for x in years
Step-by-step explanation:
The model of the car's value, y, in dollars, after x years is:
y = -3000x + 27000
The equation of a straight line is given by:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let x represent the number of years and y represent the value in dollars.
Since the new car worth is $27000, hence b = 27000. Also it depreciating in value by $3,000 per year, hence m = -3000. The car value is given by:
y = -3000x + 27000
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)) Devon jarred 15 liters of jam after 3 days. How much jam did Devon jar if she spent 4 days
making jam? Assume the relationship is directly proportional.
Answer:
20 liters
Explanation:
To find out how much jam Devon would jar if she spent four days making jam, we must first find out how much jam she makes in one day. In order to do that, we must divide how many liters of jam she makes in three days by the amount of days it took her to make it (three days).
15 liters ÷ 3 days = 5 liters per day
So, Devon jars 5 liters of jam per day.
Now that we found out how much jam she makes in a day, let's find out how much jam she makes in four days. To do that, we must multiply the amount of jam she makes in a day by four days.
5 liters × 4 days = 20 liters
Therefore, Devon will jar 20 liters of jam if she spends four days making jam.
Answer:
on ixl its 48.
Step-by-step explanation:
help please!
30 POINTS!
Answer:
210
Step-by-step explanation:
so the four Smallest Primes :
2, 3, 5, 7
When the number is Divided by 2, 3, 5 & 7 Leaves remainder 1
so N = 2a + 1
N = 3b + 1
N = 5c + 1
N = 7d + 1
-> N - 1 = 2a = 3b = 5c = 7d
N - 1 = 2 * 3 * 5 * 7
-> N - 1 = 210
-> N = 211
Next N - 1 = 2(210)
-> N - 1 = 420
-> N =421
Difference = 421 - 211 = 210
There are 96 people consisting of 48 married couples in a room. Assuming that no husband or wife shakes thr others hand but everyone else shakes hands exactly once, how many handshakes are there?
Answer:
4512 handshakes
Step-by-step explanation:
We are told in the question, that there are
96 people in the room = 48 couples
Assuming that no husband or wife shakes each others hand but everyone else shakes hands exactly once
This means
48 couples will shake 94 people because they are excluded
This is calculated as
48 × 94 = 4512 handshakes
Order the side lengths from least to greatest
Answer:
BC < CE < BE < ED < BD
Step-by-step explanation:
In the triangle BCE,
m∠BEC + m∠BCE + m∠CBE = 180°
m∠BEC + 81° + 54° = 180°
m∠BEC = 180 - 135
m∠BEC = 45°
Order of the angles from least to greatest,
m∠BEC < m∠CBE > mBCE
Sides opposite to these sides will be in the same ratio,
BC < CE < BE ----------(1)
Now in ΔBED,
m∠BEC + m∠BED = 180°
m∠BED = 180 - 45
= 135°
Now, m∠BDE + m∠BED + DBE = 180°
11° + 135°+ m∠DBE = 180°
m∠DBE = 180 - 146
= 34°
Order of the angles from least to greatest will be,
∠BDE < ∠DBE < ∠BED
Sides opposite to these angles will be in the same order.
BE < ED < BD ----------(2)
From relation (1) and (2),
BC < CE < BE < ED < BD
question 135 I feel ashamed that i dont know maf or how to spel
Answer:
k = 3
Step-by-step explanation:
=> 4.5 + 1.5 k = 18 - 3k
=> 1.5 k + 3k = 18 - 4.5
=> 4.5 k = 13.5
Dividing both sides by 4.5
=> k = 3
Answer:
k = 3
Step-by-step explanation:
4.5 + 1.5k = 18 - 3k
Add 3k to both sides.
4.5 + 4.5k = 18
Subtract 4.5 from both sides.
4.5k = 13.5
Divide both sides by 4.5
k = 3
The vertex of this parabola is at (-3,-2). Which of the following could be its
equation?
A. y=-2(x + 3)2 + 2
B. y=-2(x + 3)2 - 2
c. y=-2(x-3) 2+2
D. y = -2(x-3)2-2
Answer:
B.y=-2(x+3)2-2
Step-by-step explanation:
A if false beacuse you have to put (-3,-2) into all of your equations
B is correct
C is false
D is also false
Wilson needs 9 pieces of wood that are each!
ft long. He has one
board that is 3 !
ft long. Will he be able to make all the pieces he
needs from that one board?
Answer:
yes he will as he has 31ft.
9 x 1ft = 9ft is required for wilson to make his 9 x 1ft project.
Wilson has 31ft in one board. So with 31ft he can have 31 pieces of wood that are 1ft long each, he does have enough pieces should he cut these into 1ft.
! = 1ft and 3! = 31ft in your question.
This should help you relook at your question that says 1ft
and 31ft.
Step-by-step explanation:
The first term of an arithmetic progression is 30 and the common difference is -1.5. Find the value of the 25th term
Answer:
[tex]-6[/tex]
Step-by-step explanation:
[tex]a_1=30[/tex]
[tex]d=-1.5[/tex]
[tex]-1.5n+31.5[/tex]
[tex]-1.5(25)+31.5[/tex]
[tex]-37.5+31.5[/tex]
[tex]=-6[/tex]
Answer:
the answer to this is
-6
2-(-8)+(-3)= need answer
Answer:
7
Step-by-step explanation:
2-(-8)+(-3)
2+8-3
10-3
7
Answer:
it is [tex]7[/tex]
in 2 minutes, a conveyor belt moves 500 pounds of recyclable aluminum from the delivery truck to a storage area. a smaller belt moves the same quantity of cans the same distance in 5 minutes. if both belts are used, find how long it takes to move the cans to the storage area.
answer:
how many can are needed to move?
Step-by-step explanation:
In an AP the seventh term is 38 and the twelfth term is 63. What is the sum of the first twenty terms?
Answer: 1110
Step-by-step explanation:
For an arithmetic progression, the nth term is gotten by using the formula:
= a + (n-1)d
Therefore,
7th term = a + 6d = 38 ..... equation i
12 term = a + 11d = 63 ...... equation ii
Subtract equation i from ii
(a + 6d) - (a + 11d) = 38 - 63
-5d = -25
d = 25/5
d = 5
Since d = 5
From a + 6d = 38
a = 38 - 6d
a = 38 - (6×5)
a = 38 - 30
a = 8
The sum of the first 20 terms will be:
= n/2[2a + (n-1)d]
= 20/2[(2×8) + (20-1)5]
= 10[16+(19 × 5)]
= 10(16+95)
= 10(111)
= 1110
Fill in the blank to this mathematics question
Answer:
x = 24 makes the original equation true
Step-by-step explanation:
2 < x ≤ 24
2 < x signifies x cannot be equal to 2
x≤24 signifies x can be equal to 24.
Simply the problem.
Answer:
C
Step-by-step explanation:
[tex]\sqrt{3}\cdot\sqrt{21}= \\\\\sqrt{3\cdot 21}= \\\\\sqrt{63}= \\\\3\sqrt{7}[/tex]
Therefore, the correct answer is choice C. Hope this helps!
Answer:
3√7
Step-by-step explanation:
√3×√21=√63
√63=√7×√9=√7 × 3
=3√7
Solve x+ y = 5 and 2 x - y = 3
Answer:
[tex] x=\frac{8}{3}\: \: y=\frac{7}{3}[/tex]
Step-by-step explanation:
Add the two equations:
$ x+y +(2x-y)=5+3$
$\implies 3x=8$
$\implies x=\frac{8}{3}$
Use this value in the first equation:
$\frac{8}{3}+y=5$
$\implies y=\frac{15-8}{3}=\frac{7}{3}$
Answer:
x + y = 5 Equation 1
2x-y = 3 Equation 2
Add both Equations
y will be eliminated so it will be
3x = 8
x = 8/3
Substitute x into equation 1
8/3 + y = 5
y = 5 - 8/3
y= 7/3
x = 8/3 y = 7/3
A Canadian dollar is worth about $0.85 in
Answer:
B) $412 U.S Dollars
Step-by-step explanation:
350 divided by 0.85 = 411.7 and then round
Answer:
d. $298 U.S. dollars
Step-by-step explanation:
$1 Can = $0.85 US
Divide both sides of the equation by $1 Can
1 = ($0.85 US)/($1 Can)
$350 Can * ($0.85 US)/($1 Can) = $297.50 US
Answer: d. $298 U.S. dollars
13. Use the mapping shown above to show the value of the function ƒ(x) at each point.
Answer:
B
Step-by-step explanation:
Follow the arrow from the x- value in the domain to the corresponding value in the range, that is
x = - 1 → f(- 1) = 5
x = 0 → f(0) = 3
x = 1 → f(1) = 5
x = 2 → f(2) = 11
x = 3 → f(3) = 21
Thus B shows the appropriate mapping
The solution is Option B.
The function rule is given by
f ( -1 ) = 5
f ( 0 ) = 3
f ( 1 ) = 5
f ( 2 ) = 1
f ( 3 ) = 21
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of the function is
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output
The domain of a function is the set of values that we are allowed to plug into our function
And , The range is the set of outputs of a relation or function.
Substituting the values in the equation , we get
f ( -1 ) = 5 ; f ( 0 ) = 3 ; f ( 1 ) = 5 ; f ( 2 ) = 1 ; f ( 3 ) = 21
Hence , the function is solved
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How much will a person pay for 7.5 pounds of bananas at a price of $2.07 per pound?
The price the person will pay is
(Round to the nearest cent.)
Answer:
$15.57
Step-by-step explanation:
2.07 times 7.50 = $15.57!
The amount of money that he pays for 7.5 pounds of bananas will be $15.525.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The price of bananas is at a rate of $2.07 per pound. Then the amount of money that he pays for 7.5 pounds of bananas is given as,
⇒ $2.07 x 7.5
⇒ $15.525
Then the amount of money that he pays for 7.5 pounds of bananas will be $15.525.
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PLSSSS HELP >>>>>Solve the following inequality. Write your answer with no spaces in the inequalities and separated by an and or an or, which ever is appropriate. 3x - 2 < 5 or x -1 > 0
Answer:
1x<5 or 0>0
Step-by-step explanation:
The diameter of a circle is 15in. Find the circumference to the nearest tenth (urgent)
Answer:
I believe it is 47.1
Answer:
Answer is 47 inches.
Answer is rounded to the nearest tenth place.
Step-by-step explanation:
[tex]given \: that \: \\ diameter \: of \: circle \: = 15 \: in \\ we \: know \: that \: \\ circumference \: of \: circle \: = d\pi \\ on \: substitutig \: d \: = 15 \: in \: \\ in \: the \: formula \: we \: get \\ circumference \: of \: circle \: = 15\pi \\ substitute \: \pi = 3.14 \\ = 5 \times 3.14 \\ = 47.123 \\ when \: the \: answer \: is \: rounded \: to \ \\ the \: nearest \: tenth \: we \: \\ get \: 47 \: in \: as \: the \: answer.[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
Sarah is playing a board game. The probability that Sarah will score a point on her next turn is 1/3. Which statement describes the probability that Sarah will score a point on her next turn?
Complete question:
Sarah is playing a board game. The probability that Sarah will score a point on her next turn is 1/3. Which statement describes the probability that Sarah will score a point on her next turn?
A. likely
B. certain
C.unlikely
D.impossible
Answer:
C. unlikely
Step-by-step explanation:
If the probability that Sarah will score a point on her next turn is 1 which is 100%, then it will be certain that she will score a point on her next turn.
Again, If the probability that Sarah will score a point on her next turn is ¹/₂ which is 50%, then it will be likely that she will score a point on her next turn.
Also, If the probability that Sarah will score a point on her next turn is ¹/₃ which is 33%, then it will be unlikely that she will score a point on her next turn.
Furthermore, If the probability that Sarah will score a point on her next turn is 0 which is 0%, then it will be impossible that she will score a point on her next turn.
Thus, the correct statement for the given question is "unlikely"
A man dropped his keys into the sea and watched them fall to a depth of −8 meters before landing on a rock. How far are the keys from the surface of the sea?
Answer:
8 meters
Step-by-step explanation:
Use absolute value to figure this out.
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HELP! WILL GIVE BRAINLIEST How do you prove each of the following theorems using either a two-column, paragraph, or flow chart proof: Triangle Sum Theorem Triangle Inequality Theorem Isosceles Triangle Theorem Converse of the Isosceles Triangle Theorem Midsegment of a Triangle Theorem Concurrency of Medians Theorem
Answer:
1) The Triangle Sum Theorem states that the sum of the angles in a triangle = 180°
2) The triangle inequality theorem states that the sum of any two sides of a triangle is larger than the third side
3) Isosceles triangle theorem states that the angles opposite the equal sides of an isosceles triangle are congruent
4) Converse of the Isosceles theorem states that the sides opposite the equal angles of an isosceles triangle are congruent
5) Midsegment of a triangle theorem states that the midsegment of two sides of a triangle is equal to half of the side it is parallel to
6) Concurrency of medians theorem states that the medians of a triangle intersect at a point within the triangle
Step-by-step explanation:
1) The Triangle Sum Theorem states that the sum of the angles in a triangle = 180°
Proof: To draw a triangle ABC starting from the point A we move 180° - ∠A to get to ∠B
From ∠B we turn 180° - ∠B to get to ∠C and from ∠C we turn 180° - ∠C to get back to A we therefore have turned 360° to get to A which gives;
180° - ∠A + 180° - ∠B + 180° - ∠C = 360°
Hence;
- ∠A - ∠B - ∠C = 360° - (180°+ 180°+ 180°) = -180°
-(∠A + ∠B + ∠C) = -180°
∴ ∠A + ∠B + ∠C = 180°
2) The triangle inequality theorem states that the sum of any two sides of a triangle is larger than the third side
Proof: Given ΔABC with height h from B to D along AC, then
AC = AB×cos∠A + CB×cos∠C
Since ∠A and ∠C are < 90 the cos∠A and cos∠C are < 1
∴ AC < AB + CB
3) Isosceles triangle theorem
Where we have an isosceles triangle ΔABC with AB = CB, we have by sine rule;
[tex]\dfrac{AB}{sin(A)} = \dfrac{CB}{sin(C)} = \dfrac{CB}{sin(A)}[/tex]
Therefore;
sin(C) = sin(A) hence ∠A = ∠C
4) Converse of the Isosceles theorem
Where we have an isosceles triangle ΔABC with ∠A = ∠C, we have by sine rule;
[tex]\dfrac{AB}{sin(A)} = \dfrac{CB}{sin(C)} = \dfrac{CB}{sin(A)}[/tex]
Therefore;
sin(C) = sin(A) hence AB = CB
5) Midsegment of a triangle theorem states that the midsegment of two sides of a triangle is equal to half of the side it is parallel to
Given triangle ABC with midsegment at DF between BA and BC respectively, we have;
in ΔABC and ΔADF
∠A ≅ ∠A
BA = 2 × DA, BC = 2 × FA
Hence;
ΔABC ~ ΔADF (SAS similarity)
Therefore,
BA/DA = BC/FA = DF/AC = 2
Hence AC = 2×DF
6) Concurrency of Medians Theorem
By Ceva's theorem we have that the point of intersection of the segments from the angles in ΔABC is concurrent when the result of multiplying ratio the ratios of the segment formed on each of the triangle = 1
Since the medians bisect the segment AB into AZ + ZB
BC into BX + XB
AC into AY + YC
Where:
AZ = ZB
BX = XB
AY = YC
We have;
AZ/ZB = BX/XB = AY/YC = 1
∴ AZ/ZB × BX/XB × AY/YC = 1 and the median segments AX, BY, and CZ are concurrent (meet at point within the triangle).
URGENT PLEASE HELP IM BEGGING YOU
In this activity, you will find and interpret the average rate of change of a polynomial function.
Part A
The polynomial function y = -0.00584 +0.05x3 -0.086x2 - 0.04x + 2.52 represents the fluctuating gas price in dollars per
gallon) in a city over the course of 6 years. Calculate the average rate of change from year 0 to year 2, and then calculate
the average rate of change from year 3 to year 6.
Answer:
The average rate of change from year 0 to year 2 is
[tex]change = -0.0585[/tex]
The average rate of change from year 3 to year 6 is
[tex]change = -0.0129[/tex]
Step-by-step explanation:
The average rate of change describes the average rate at which gas price in dollars per gallon is changing with respect to time (years)
The given polynomial function is
[tex]y = -0.0058x^4 +0.05x^3 -0.086x^2 - 0.04x + 2.52[/tex]
Calculate the average rate of change from year 0 to year 2.
For year x = 0
[tex]y = -0.0058(0)^4 +0.05(0)^3 -0.086(0)^2 - 0.04(0) + 2.52 \\\\y = 2.52[/tex]
For year x = 2
[tex]y = -0.0058(2)^4 +0.05(2)^3 -0.086(2)^2 - 0.04(2) + 2.52 \\\\y = -0.0928 + 0.4 - 0.344 - 0.08 + 2.52 \\\\y = 2.403[/tex]
The average rate of change from year 0 to year 2 is
[tex]change = \frac{y(2) - y(0)}{x(2) - x(0)} \\\\change = \frac{ 2.403- 2.52}{2 - 0} \\\\change = \frac{-0.117}{2} \\\\change = -0.0585[/tex]
The negative sign indicates that the gas price has decreased from year 0 to year 2.
The average rate of change from year 3 to year 6 is
For year x = 3
[tex]y = -0.0058(3)^4 +0.05(3)^3 -0.086(3)^2 - 0.04(3) + 2.52 \\\\y = -0.4698 + 1.35 - 0.774 - 0.12 + 2.52 \\\\y = 2.506[/tex]
For year x = 6
[tex]y = -0.0058(6)^4 +0.05(6)^3 -0.086(6)^2 - 0.04(6) + 2.52 \\\\y = -7.5168 + 10.8 - 3.096 - 0.24 + 2.52 \\\\ y = 2.4672[/tex]
The average rate of change from year 3 to year 6 is
[tex]change = \frac{y(6) - y(3)}{x(6) - x(3)} \\\\change = \frac{ 2.4672- 2.506}{6 - 3} \\\\change = \frac{-0.0388}{3} \\\\change = -0.0129[/tex]
The negative sign indicates that the gas price has decreased from year 0 to year 2.
If anyone is great in math and can help me with this I would appreciate so much
Answer:
104.25
Step-by-step explanation:
11x19=206
206/2=104.5
Answer:
A
Step-by-step explanation:
The formula of area of a triangle is bh/2
Base=19
Hight=11
If you multiply them together you get 209 sq. units. Next, you must divide by 2.
209÷2=104.5
I hope this helped answer your question!
The amplitude of y = -3sinx is _____.
Answer:
The amplitude is 3.
Step-by-step explanation:
A telephone company charges a fixed monthly rate plus a rate per megabyte of data used. The company charges $155 for 100 megabytes and $245 for 200 megabytes. An equation can be written to show the relationship between the total megabytes of data used (x) and the total monthly charges (y). Which of the following best describes the steps to draw the graph? Draw a graph that joins the points (155, 100) and (245, 200) and has a slope = 0.9 Draw a graph that joins the points (155, 100) and (245, 200) and has a slope = 1.1 Draw a graph that joins the points (100, 155) and (200, 245) and has a slope = 1.1 Draw a graph which joins the points (100, 155) and (200, 245) and has a slope = 0.9
Answer:
Draw a graph that joins the points (100, 155) and (200, 245) and has a slope = 0.9
Step-by-step explanation:
x variable represents total megabytes of data used
y variable represents total monthly charges
The company charges $155 (y) for 100 megabytes (x) means that the point (100, 155) belongs to the equation.
The company charges $245 (y) for 200 megabytes (x) means that the point (200, 245) belongs to the equation.
With these two points, the slope is computed as follows:
(245 - 155)/(200 - 100) = 0.9
Answer:
the correct answer is
Step-by-step explanation:
Second option: Draw a graph that joins the points 100 and 135 500 and 375 and has a slope of 0.6
or if you have the other problem its
Draw a graph which joins the points (100, 120) and (50, 95) and has a slope = 0.50
If you had a block of each type of wood with the same dimensions, how would their weights compare? Explain.
Answer:
Same dimensions
Step-by-step explanation:
Since they have the same dimensions, they have the same volume. At the same volume, the denser wood has a higher mass, and hence a higher weight.
Answer: The would still be different weight depending on factors
Step-by-step explanation:
Even though the dimentions are similar, there could be an issue because for example you have TWO 3D peices of wood, one is firewood and one is redwood. The firewood is larger than the redwood but is still 3D dimension.
So dimentions do not afftect weight
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The next term in a sequence Comes from adding the
previous two terms. Find the missing terms below.
2,
,9
, 25,
66
Answer:
Step-by-step explanation:
Each new term is the sum of the two preceding terms. Given 2, 9, etc., we see that a number between 2 and 9 is missing; call it x. Then 2 + x must equal 9, and so x = 7, and so the first three terms are 2, 7, 9. Repeating the process, we add 7 and 9, obtaining 16; thus the first four terms are 2, 7, 9, 16. Continuing this pattern, we add 9 and 16 to obtain the fifth term, which is 25: 2, 7, 9, 16, 25. And so on.
