We first need to figure out our pattern. It looks like we are subtracting 7 each time.
Using that pattern, let's continue it!
43 - 7 = 36
36 - 7 = 29
29 - 7 = 22
Hope this helps!! :)
Answer:
36,29,22
Step-by-step explanation:
64 - 57 = 7
57-50 =7
50-43=7
We are subtracting 7 each time
43-7 =36
36-7 = 29
29 -7= 22
Help plz this important for me
Step-by-step explanation:
LM =√10²-6²=√64=8
a. tan N = 8/6= 4/3
b. cos L = 8/10= 4/5
The first five terms of an arithmetic sequence are shown below: 20, 17, 14, 11, 8, . . . Let n represent the term number and f(n) the term in the sequence. The function represents the sequence.
ANSWER IS: f(n)= -3n +23
Step-by-step explanation:
everything can be found in the picture
Answer:
f(n) = -3n + 23
Step-by-step explanation:
Just got it right on EDG.
Find the scale factor from Triangle ABC to Triangle DEF.
Answer:
The ratio of any two corresponding lengths in two similar geometric figures.
Step-by-step explanation:
You can see immediately that the length of each of the sides in triangle DEF is equal to the length of the corresponding side in ABC multiplied by “a”.
If you divide the length of DE by the length of AB:
a^2/a =a.
You get a scale factor of “a”
Sam is rowing a boat away from a dock. The graph shows the relationship
between time and Sam's distance from the dock. Evaluate the function for an
input of 6.
Distance from Dock
110
100
90
80
70
60
Distance (meters)
50
40
30
20
10
0
1 2 3 4 5 6 7 8 9 10 11
Times (minutes)
O A. After 60 minutes, Sam is 6 meters from the dock.
O B. After 6 minutes, Sam is 6 meters from the dock.
C. After 60 minutes, Sam is 60 meters from the dock.
Answer:
After 60 minutes, Sam is 6 meters from the dock
Step-by-step explanation:
I looked at the number line and met up where 60 minutes was.
After 6 minutes, Sam is 60 meters from the dock
Correct option is D.
What is straight line?A straight line is an infinitely long line with no curves. A straight line can also be formed between two points, but the ends will be infinite. A straight line is a figure formed by connecting two points A (x1, y1) and B (x2, y2) with the shortest distance and extending both ends to infinity.
General formula for a straight line:
The general equation for straight lines is given as ax + by + c = 0.
a, b, c are constants and
x,y are variables.
Slope is -a/b
Given,
Graph of Distance to time is represented by an straight line
By the graph,
Line crosses from (0,20) and (3,40)
Equation of the line
y - y₁ = ((y₂ - y₁)/(x₂ - x₁))(x-x₁)
y - 20 = ((40 - 20)/(3 - 0))(x-0)
y - 20 = (20/3)(x)
y - 20 = 20x/3
y = 20x/3 + 20
Input x = 6
y = 20(6)/3 + 20
y = 120/3 + 20
y = 40 + 20
y = 60
When time = 6 minutes, distance between Sam and the dock is 60 meters.
Hence, Sam is 60 meters away from the dock after 6 minutes
Learn more about straight line here:
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Write the fve-number summary for each set of data
Answer:
Step-by-step explanation:
first arrange the data from ascending to decending order
1,5,8,10,11,14,17,19,20,23
Q1=(N+1)/4
=(10+1)/4
=11/4
=2.75
=2 nd item+(3 rd -2 nd)term
=5+(8-5)
=5+3
=8
Q2=(N+1)/2
=(10+1)/2
=11/2
=5.5 term
=(5 th term+6 th term)
=(11+14)/2
=25/2
=12.5
Q3=3(N+1)/4
=3(10+1)/4
=3*11/4
=33/4
=8.25
=8 th term +(9 th -8 th )term
=19+(20-19)
=19+1
=20
A truck is traveling at a constant speed. The diagram represents the truck's distance and time. What is the speed of the truck?
Answer:
distance divided by time
Step-by-step explanation:
distance is the speed of the moving object multiplied by the time taken to complete a certain distance therefore the speed is the distance covered divided by the time taken.
this is the question
Answer:
Step-by-step explanation:
From her eye, which stands 1.69 meters above the ground, Penelope measures the angle of elevation to the top of a prominent skyscraper to be 16∘. If she is standing at a horizontal distance of 200 meters from the base of the skyscraper, what is the height of the skyscraper? Round your answer to the nearest hundredth of a meter if necessary.
Answer: 59.04
Step-by-step explanation:
tan 16= x/200
tan16/1=x/200
200 tan 16=x
x=57.349077...
x=57.349077...
Add 1.69, the distance from the ground to her eye:
57.349077...+1.69= 59.039077...
≈ The skyscraper is 59.04 meters tall.
You can use right triangles to get the height of the skyscraper.
The height of the skyscraper is 59.04 meters approximately.
What is angle of elevation?You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation. See the figure where angle DCE is the angle when Penelope saw the skyscraper. It is measured from the horizontal line DC.
How to use right triangles to find the height of the specified sky scrapper?Remember that we assume that building is vertical to the ground. This means, there is 90° formation.
Since the distance from the base of the building is given and the angle of elevation is given, we have enough data to construct a specific right triangle where the vertical line opposite to the angle of elevation is of the measure of the height of the building.
And then we can use tangent ratio which relates perpendicular and base to the considered angle.
Remember that trigonometric ratios are defined for right triangles only(those triangles who have one of the angle as of 90 degrees).
See the diagram attached below, where the length AE is the building's height. AD is same as CB which is height of Penelope(a person who is watching the top of that given skyscraper).
For the right angle triangle EDC, and for the angle considered ∠ECD, we have the perpendicular as side opposite to the angle ∠ECD which is ED and the base is DC. Thus, the tangent ratio of ∠ECD is given by
[tex]tan(\angle ECD) = \dfrac{Perpendicular \: to \: \angle ECD}{Base \: to \: \angle ECD } = \dfrac{ED}{DC} = \dfrac{h - 1.69}{200}\\tan(16^\circ) = \dfrac{h - 1.69}{200}\\[/tex]
DC = AB and DA = CB because of ABCD being a rectangle because of building and person both standing vertical to the ground and the line DC being parallel to the ground, thus all angles being right angle(of 90 degrees).
From the calculator, the value of tan(16°) is approx 0.2867
Thus, putting this value in the obtained equation, we get:
[tex]tan(16^\circ) = \dfrac{h - 1.69}{200}\\0.2867 = \dfrac{h-1.69}{200}\\\\0.2867 \times 200 = h - 1.69 \\57.35 + 1.69 = h\\h = 59.04 \: \rm meters[/tex]
Thus, the height of the specified skyscraper is approx 59.04 meters.
Learn more about trigonometric ratios here:
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if y^17-17 is divided by y+1 , the remainder is
Answer:
Step-by-step explanation:
a) We have 15! as the product of 1 to 15 natural numbers. Since 17 is prime there will be no factor common to these
By actual division we find
15! (mod 17) =16
From this we deduce
even 16! mod 17 = 16 = -1
According to Wilson theorem
(17-1)! = -1 mod 17
Thus verified 17 is prime
Hence 15! (mod 17) =-1=16
-----------------------
b) 2(26!) is divided by 29
Since 29 is prime
(29-1)! = -1 mod 29
28! = -1 mod 29 = 28
When divided this gives 25 as remainder
THANKS
0
Do the ratios 4:18 and 2:9 form a proportion?
yes
no
Answer:
Yes. A propotion is to check if two things are equivelent. The ratios 4:18 and 2:9 are equivelent.
Which fraction is equal to a whole number? 10/4. 8/4. 3/6. 7/8
plz help
Answer:
[tex]\frac{8}{4}[/tex] = 2
Step-by-step explanation:
Divide numerator by denominator
[tex]\frac{10}{4}[/tex] = 2.5 ← not a whole number
[tex]\frac{8}{4}[/tex] = 2 ← a whole number
[tex]\frac{3}{6}[/tex] = 0.5 ← not a whole number
[tex]\frac{7}{8}[/tex] = 0.875 ← not a whole number
Find the area of the shaded region. Round to the nearest tenth.
Given: the radius of the circle is 5 inches.
Answer:
a = 21.5 in²
Step-by-step explanation:
Area of square
a = s²
a = 10²
a = 100
--------------------
Area of circle
a = πr²
a = π5²
a =π*25
a = 78.5398163397
-----------------------
Area shaded
a = square - circle
a = 100 - 78.5398163397
a = 21.4601836603
Rounded
a = 21.5 in²
calculate the area of the rectangle with length 9cm and breadth 4cm
Answer:
36cm^2
Step-by-step explanation:
the answer is
area of rectangle =l×b
=9×4.
=32
Find the common factor of all of the terms of the polynomial below.
14x2 - 12x
Α. 2x
Β. 4χ2
C. 2χ2
D. 4x
Answer:
A. 2x
Step-by-step explanation:
First let's correct the problem.
Question:
[tex]14x^2-12x[/tex] is the binomial we are solving
Now, let's solve this.
We see that we have one term to the 2nd degree (shown by the exponent) and one to base degree. Therefore, the answer cannot be B or C since you cannot factor into a negative exponent.
So we now have either A. 2x or D. 4x
Let's try both of these.
Factoring out with 2x we get:
[tex]2x(7x-6)[/tex], which is perfectly fine!
Factoring out with 4x we get:
[tex]4x(3.5x-3)[/tex]
Therefore, it must be A. 2x
Alternatively, we know the factors of 14 are 1,2,7, and 14. The factors of 12 are 1,2,3,4,6, and 12. The only factor shared here is A. 2
Please help me with this geometry question
These are the answer choices
1) 8
2)7
3)6
4)4
Answer:
7 is the correct answer
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
Umm I Lwk need help lol
Step-by-step explanation:
Hey there!
The Pythagorean identity is: sin²(theta) + cos²(theta) = 1.
So, For finding sin (theta);
Take cos (theta) right side.
sin²(theta) = 1-cos²(theta)
Now, take square on right side from.
sin (theta) = √[1-cos²(theta)] {square changes into square root}
Therefore, sin (theta) = √[1-cos²(theta)].
Hope it helps!
Solve for x. Round to the nearest tenth, if necessary.
Answer:
Step-by-step explanation:
take 69 degree as reference angle
using sin rule
sin 69=opposite/hypotenuse
0.93=7.2/x
x=7.2/0.93
x=7.74
x=7.7
Find the solution(s) of the system of equations.
y = –x2 + 2
y = x2 + 4x + 4
Identify the decimal 2.16 as a rational number.
A)13/60
B)1.3/60
C)130/6
D)13/6
Answer:
Step-by-step explanation:
2.16=216/100=54/25
check your statement.
[tex]\frac{54}{25 }[/tex] is the rational number for the decimal 2.16
What is rational number?A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero.
According to the given question.
We have a number 2.16
To convert the above in rational number, we convert the given number in [tex]\frac{x}{y}[/tex] form, where x and y are positive integers.
We read 2.16 as " 2 and sixteen hundredths".
Therefore, 2.16 can be written as [tex]2\frac{16}{100}[/tex].
Now we will simplify [tex]2\frac{16}{100}[/tex].
⇒ [tex]2\frac{16}{100} =2\frac{4}{25}[/tex]
⇒ [tex]2\frac{16}{100} =\frac{54}{25}[/tex]
Hence, [tex]\frac{54}{25 }[/tex] is the rational number for the decimal 2.16
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A rectangle has an area of 75.2m2.
One of the sides is 0.8m in length.
Work out the perimeter of the rectangle.
Answer:
189.6m
Step-by-step explanation:
Area of reactangle= side₁ ×side₂
Let the other side of the rectangle be x meters.
Area of rectangle= 75.2m²
0.8x= 75.2
x= 75.2 ÷0.8
x= 94
Perimeter of rectangle
= 2(side₁ +side₂)
= 2(0.8 +94)
= 189.6 m
Which equation is correct?
please help me :((
Answer:
sin x° = opposite ÷ hypotenuse
Step-by-step explanation:
Cosine is represented by the expression adjacent ÷ opposite and sine is represented by opposite ÷ hypotenuse. Only the fourth option lines up with the functions defined above.
If you are having trouble remembering the ratios for each trig function, you can use the acronym SohCahToa. This stands for:
S - sine
o - opposite
h- hypotenuse
C - cosine
a - adjacent
h - hypotenuse
T - tangent
o - opposite
a - adjacent
Identify the imaginary part of this complex number:
10 - 5i
Answer:
-5i is the imaginary portion
Step-by-step explanation:
a+bi
a is the real part bi is the imaginary part
-5i is the imaginary portion
A book consists of 36 pages and the pages are printed on both sides. If the book is 3/8 cm thick determine the thickness of each page
Answer:
0.01041666666
Step-by-step explanation:
Alright, I am getting annoying at this point but who can help me with this one?
Answer:
A
Step-by-step explanation:
F(x) = 4x^2 + 1
G(x) = x^2 - 5
(F-G)(x) = (4x^2+1 - x^2-5)
collect like terms
(F-G)(x) = (4x^2-x^2 + 1-5)
= (3x^2 - 4)
Find the volume of this sphere.
Use 3 for TT.
V
V [?]ft3
V = Tr3
16ft
Answer:
well the volume of a sphere is V = 4/3 x pie x r3 so the radius is half of the diameter so that would be 8 not going to show work but the answer is 2144.66
Help with these two questions
Answer:
11. = D) x is greater than or equal to -1
12. = A) x is less than -2
Step-by-step explanation:
Answer:
11. -1 ≤ x
or
x ≥ -1, D
Because it is starting at -1, and the arrow is pointing up showing that x is greater than. BUT the circle is not hallow and is filled meaning that is is greater than, OR EQUAL TOO.
12. X < -2, A
Because it is starting at -2 and is going down showing that -2 is greater, and since the circle is hallow it just means X is less than NOT OR EQUAL TOO.
What is the length of BC in the right triangle below?
Answer and Step-by-step explanation:
How to solve:
Use the Pythagorean Theorem to find the length of side BC.
Pythagorean Theorem Formula:
[tex]A^2+B^2=C^2[/tex]
Side AB will be A, side AC will be B, and side BC will be C.
Plug in values.
[tex]8^2+15^2 = C^2\\\\\\64 + 225 = C^2\\\\289 = C^2\\Square.root.both.sides.\\\\\sqrt{289} = C\\17 = C\\\\\\[/tex]
This means the answer is A. 17.
I hope this helps!
#teamtrees #PAW (Plant And Water)
What do i do on the graph?
I know the answer i just need to put it on the graph.
Best answer gets brainiest!
Answer:
c=2.5m+3
Step-by-step explanation:
c=2.5m+3
3 is the y intercept, so plot a point on (0,3) on the graph. Then go up 2.5 units and to the right one unit,and have a line going through this point. Continue the line.:) ur welcomeAnswer:
the girl have helped you but good luck
How many yards are in 18 feet?
Answer:
it is 6 yards
Step-by-step explanation:
since 1 yard is equal to 3 feet, 18 feet divided by 3 is 6
hope this helped :D
Simplify the following expression as much as possible.
(4+1)-(3-51)(-2+57)
O A. -15-241
O B. 35-241
O C. -15+ 261
O D. 35+261