Divide: 1,485 ÷ 0.09
1,485 ÷ 0.09
Answer:
16500
Step-by-step explanation:
Graph the line that represents the equation
Distance formula: StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot
Does the point (1, StartRoot 7 EndRoot) lie on the circle shown?
Explain.
Yes, the distance from (–2, 4) to (1, ) is 4 units.
Yes, the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is 4 units.
No, the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is not 4 units.
No, the distance from (–2, 4) to (1, StartRoot 7 EndRoot) is not 4 units.
Yes, the distance from (-2, 0) to (1, √7) is 4 units.
How to Interpret the Equation of a Circle?
We know that the general form of equation of the circle is given by;
(x - h)² + (y - k)² = r²
where;
(h, k) is the coordinate of the center
r is the radius
From the attached image, the radius is equal to the distance between the center and the point (-2,4). Thus, r = 4 and so we have;
(x + 2)² + (y - 0)² = 4²
(x + 2)² + y² = 16
If the distance between the center and the point is equal to the radius of the circle , then the point lies on the circle and the formula to calculate the distance between two points is;
d = √[(y₂ - y₁)² + (x₂ - x₁)²]
At A(-2, 0) and B(1, √7), we have;
d = √[(√7 - 0)² + (1 - (-2))²]
d = 4 units
Therefore we can conclude that the distance from (-2, 0) to (1, √7) is 4 units.
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A rectangular sheet of metal is 66cm x 12cm and rolled into a cylinder with height 12cm
Find the volume.
Answer:
4158cm cubed. Hope this helped!
Bilquis wants to ride her bicycle 47.6 miles this week. She has already ridden 8 miles. If she rides for 6 more days, what is the average number of miles she would have to ride each day to meet her goal?
If she rides for 6 more days, what is the average number of miles she would have to ride each day to meet her goal is 4.7
We have given that,
Bilquis wants to ride her bicycle 47.6 miles this week. She has already ridden 8 miles.
We have to determine that If she rides for 6 more days, what is the average number of miles she would have to ride each day to meet her goal.
Based on the given conditions, formulate: 8+4x=26
Rearrange unknown terms to the left side of the equation:4x=26-8
Calculate the sum or difference:4x=18
Divide both sides of the equation by the coefficient of the variable:4x/4=18/4
Calculate the product or quotient:x=18/4
We get the result:4.7
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Answer: The answer is 6.6
Step-by-step explanation:
Suppose I have Rs 1000 and I put it in the bank. What will be the amount I have after 5 years if Interest is 5% per annum?
Answer:
Its 250 the answer which i got.
Answer:
After investing for 5 years at 5% interest, your $1,000 investment will have grown to $1,276
Step-by-step explanation:
Find the measure of each missing angle.
Hey I need to point of rotation for this question. Need the answer asap :)
Answer:
see explanation
Step-by-step explanation:
the vertices of S under the translation [tex]\left[\begin{array}{ccc}0\\-3\\\end{array}\right][/tex] are
(2, 3 ) → (2, 0 )
(6, 3 ) → (6, 0 )
(4, 5 ) → (4, 2 )
Under an anticlockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) then the above coordinates become
(2, 0 ) → (0, 2 )
(6, 0 ) → (0, 6 )
(4, 2 ) → (- 2, 4 )
which are the coordinates of the vertices of the image T
then the rotation is 90° anticlockwise about the origin , point (0, 0 )
Answer:
Below
Step-by-step explanation:
the vertices of S under the translation are
(2, 3 ) → (2, 0 )
(6, 3 ) → (6, 0 )
(4, 5 ) → (4, 2 )
Under an anticlockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) then the above coordinates become
(2, 0 ) → (0, 2 )
(6, 0 ) → (0, 6 )
(4, 2 ) → (- 2, 4 )
which are the coordinates of the vertices of the image T
then the rotation is 90° anticlockwise about the origin , point (0, 0 )
Can somebody please help answer this word problem using grass method? And showing how u get the answer thanks!!!
WILL MARK BRAINLIEST FOR WHOEVER ANSWERS THIS !!! :DD
Answer:3/20
Step-by-step explanation:
Fraction of total area mowed = (3/5) + (1/4) = 17/20
Therefore fraction of total area left = 1 - (17/20) = (20/20) - (17/20) = 3/20
Aro diagram his rafting trip
The speed of Aro's paddling and speed of the river will be 1.56 miles per hour and 0.52 miles respectively.
How to calculate the speed?Aro diagrams his river rafting trip, estimating the time it will take him to paddle upstream against the current, and then back downstream with the current. His campsite destination is 5.2 miles upstream. Determine how fast Aro can paddle and how fast the river water is moving. Round to the nearest hundredth as needed. Upstream: Downstream: Let x be the speed of Aro’s paddling and let y be the speed of the river. Upstream: 1.04 = x – y Downstream: 2.08 = x + y Aro can paddle at a speed of miles per hour. The river’s speed is miles per hour.
Based on the information given, the equations will be:
x + y = 1.04
x + y = 2.08
Add both equations together. This will be:
x = 1.56
Now substitute the value of x into equation ii. This will be:
1.56 + y = 2.08
y = 2.08 - 1.56
y = 0.52
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3 x 4 divided by 110 + 60
Answer:
60.10
Step-by-step explanation:
3 x 4 = 12
12 / 110 = 0.109
0.109 + 60 = 60.109
Which of the following rational functions is graphed below?
Answer:
B
Step-by-step explanation:
The vertical asymptotes are the red dashed lines. They are x = -4 and x = 0. Think of them as electric fences that the graph cannot touch or cross. The curve can only get closer and closer.
This question has already been posted, so all credit goes to jimthompson5910.
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9. Classify the shapes shown below. Write the letter of each shape in the category that
describes it. Shapes may fall into more than one category, and not all shapes will be
used.
At least 1 right angle = A, C and E
At least 2 sides of equal length = B and E
At least 1 pair of parallel sides= B and E
What is a Parallel line?Parallel lines are those lines that are apart and they never meet till infinity.
Example of shapes that have sides with parallel line are the rectangle and parallelograms.
The shape B and E are rectangles and parallelograms respectively.
The shape that has angle 90° are right angle triangles and trapezium.
Therefore, the shapes that has right angles are A which is a trapezoid and E which is a rectangle.
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Triangle FGH is an equilateral triangle with sides measuring 34 StartRoot 3 EndRoot units.
Triangle F G H is shown. A perpendicular bisector goes from point G to point R on side H F. The length of G H is 34 StartRoot 3 EndRoot, the length of G F is 34 StartRoot 3 EndRoot, and the length of H F is 34 StartRoot 3 EndRoot.
What is the height of the triangle?
17 units
34 units
51 units
68 units
The height of the triangle FGH is equal to 51 units.
Triangle FGH is an equilateral triangle, thus we understand that each of its sides is identical.
Every side's length is specified as 34√3 units.
In order to split HF into two equivalent halves, use a perpendicular bisector. This implies,
34√3/2=17√3
By using the Pythagorean theorem, which states that the total of a triangle's two sides matches the square of its hypotenuse, we may determine the height.
a²+b²=c²
Here, a=17√3
b=height &
c=34√3
Therefore, from the above equation, we can say,
b²=c²-a²
⇒b²=(34√3)²-(17√3)²
⇒b²=([tex]34^{2}*3[/tex])-([tex]17^{2} *3[/tex])
⇒b²=3468-867
⇒b²=2601
⇒b=[tex]\sqrt{2601}[/tex]
⇒b=51 units
Hence, it is concluded that the height of the triangle is (c)51 units.
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Answer:
C. 51 units
Step-by-step explanation:
Find (f + g)(x).
(f + g)(x) =
The value of (f + g)(x) is 2x + 8
Complete questionLet f(x) = 4x + 3 and g(x) = -2x + 5.
Find (f + g)(x).
How to evaluate the composite function?The functions are given as:
f(x) = 4x + 3
g(x) = -2x + 5
The composite function (f + g)(x) is calculated using
(f + g)(x) = f(x) + g(x)
Substitute known values
(f + g)(x)= 4x + 3 - 2x + 5
Evaluate the like terms
(f + g)(x)= 2x + 8
Hence, the value of (f + g)(x) is 2x + 8
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Select the values that make the inequality v >= 1 true . ( Numbers written in order from least to greatest going across .)
The values that make v >= 1 true are 2, 3, 4, 5....
How to determine the values?The inequality is given as:
v >= 1
Rewrite properly as:
v ≥ 1
The above means that the true values of v are values greater than 1.
Hence, the values that make v >= 1 true are 2, 3, 4, 5....
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Solve the following system to find the point(s) of intersection.
y = x² - 2x - 3
y = 2x - 3
x=4 y=5
if we put two pharases together
the answer is as follows pic :
x=4 y=5
Point A lies outside of plane P, how many lines can be drawn parallel to plane P that pass through point A.
The number of lines that can be drawn parallel to plane P that passes through point A is 1.
How to depict the information?From the information given, we are told that Point A lies outside of plane P. It should be noted that when a line is drawn from a point to another, it can only be one.
Therefore, the number of lines that can be drawn parallel to plane P that passes through point A is 1.
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A sequence starts with: 32, 31, 30, 29...
Calculate the next 3 terms
Answer:
28,27,26
sequence=-3
Step-by-step explanation:
Answer:
[tex]\fbox {28, 27, 26}[/tex]
Step-by-step explanation:
Given :
⇒ a = 32
⇒ d = 31 - 32 = -1
Finding next 3 terms :
⇒ 29 - 1 = 28
⇒ 28 - 1 = 27
⇒ 27 - 1 = 26
In the figure, the ratio of the area of rectangle ABEF to the area of rectangle ACDF is .
If the coordinates of point A are (0,6), the area of rectangle ABEF is square units, and the area of rectangle ACDF is square units.
The perimeter of rectangle BCDE is units.
Area of the rectangle is 96.05 sq.units , The ratio of the areas is 2/3 , Area of rectangle ABEF is 64.03 sq.units.
The complete question is
In the figure, the ratio of the area of rectangle ABEF to the area of rectangle ACDF is(a)_____ . If the coordinates of point A are (0,6), the area of rectangle ABEF is(b)____ square units, and the area of rectangle ACDF is(c)____ square units. The perimeter of rectangle BCDE is(d)____ units.
What is a Rectangle ?A rectangle is a polygon with four sides and for angles and four vertices , Its opposite sides are parallel and equal.
The area of rectangle ACDF is square units. = ?
The perimeter of rectangle BCDE is units. = ?
[tex]\rm d = \sqrt{ (y_2 -y_1 )^2 + (x_2 -x_1)^2}\\\\\rm d = \sqrt{ (2 - 6 )^2 + (5 - 0)^2}[/tex]
d = 9.605
the length of [tex]\rm EF[/tex]
[tex]\rm FE[/tex] = 10 units.
and [tex]\rm FD[/tex] = 15 units
Area of a Rectangle [tex]\rm ACDF[/tex] is given by
Length x width
10 * 9.605
Area of the rectangle is 96.05 sq.units
Perimeter of a rectangle is = 2( length + breadth)
ED = FD-FE = 15- 10 = 5 units
Therefore
Perimeter = 2 ( 5 + √41 )
Perimeter = 22.81 units
Area of rectangle ABEF is 64.03 sq.units
The ratio of the areas
= 64.03/96.05
= 0.666667
= 2/3
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Select the correct answer.
Which expression is equivalent to √48x5, if x > 0?
OA. 12x³√3x
OB. 4x³√3
OC. 4x²√3x
OD. 12x²√
Answer:
C
Step-by-step explanation:
Comment
The square root of 48 is nowhere near 12. That means that A and D are wrong. On a test that's an important consideration because if you have to guess, you've just cut the possibilities down to 2.
So the answer must be B or C. Furthermore, you don't have to go to the trouble of factoring 48 to show that it is 4 sqrt(3). There's no other choice.
So what about x^5. 5 is an odd number. That means that one of the xs is left underneath the square root sign. That makes B incorrect. Without doing a calculation, I know that C is the answer.
Note
x^5 = x * x * x * x * x
The rule is for ever 2 factors that are the same, 1 factor is put in front of the square root sign and the other 1 is thrown out.
√x^5 = √x * x * x * x * x = x * x √x
Therefore the answer to the problem is 4 x * x√3 x = 4x^2√3x
-4 1/2 x (-1 3/8)
please help
Answer:
The answer is 33.31
Step-by-step explanation:
-41/2 ×-13/8
-41×-13 = 533
2×8=16
therefore, 533/16
ans= 33.31
I hope this helps.
Embáulate the given function for f(8) f(x)=(x-5)2 f(8=
Answer:
f(8) = 9
Step-by-step explanation:
f(x)=(x-5)^2
Let x = 8
f(8)=(8-5)^2
= 3^2
= 9
what odd 3 digit number has digits that are all the same and that add up to 9?
Answer:
3
Step-by-step explanation:
3 is an odd number and obviously the only odd (same) three digit that add up to 9
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√m is an integer.
Given that the value of "m" lies between between 2929 and 3939
Write down the value of "m"
Answer:
There are 8 possible answers for the value of m
Step-by-step explanation:
3025 (55^2), 3136 (56^2), 3249 (57^2)...., 3844(62^2)
The square of the numbers 55-62 could be a solution set for m.
Is y = 3 the solution to
3y + 10 = -5y – 14
Answer:
No, the solution is -3.
Step-by-step explanation:
3y+10=-5y-14
We move all terms to the left:
3y+10-(-5y-14)=0
We get rid of parentheses
3y+5y+14+10=0
We add all the numbers together, and all the variables
8y+24=0
We move all terms containing y to the left, all other terms to the right
8y=-24
y=-24/8
y=-3
Answer:
y = - 3
Step-by-step explanation:
3y + 10 = - 5y - 14 ( add 5y to both sides )
8y + 10 = - 14 ( subtract 10 from both sides )
8y = - 24 ( divide both sides by 8 )
y = - 3
From the observation deck of a skyscraper, Lavaughn measures a 42°
angle of depression to a ship in the harbor below. If the observation deck is 872 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest hundredth of a foot if necessary
By using trigonometry, we conclude that the horizontal distance is 785.15ft
How to find the horizontal distance?We can think of this as a right triangle.
Where the height of the observation deck is one cathetus and the horizontal distance is the other cathetus,
We know that the depression angle when looking from above is 42°. If we step on this angle, the adjacent cathetus is the height of the deck, then the horizontal distance is the opposite cathetus.
Then we can use the relation:
tan(a) = (opposite cathteus)/(adjacent cathetus).
Replacing what we know:
tan(42°) = (distance)/(872ft)
tan(42°)*872ft = distance = 785.15ft
The horizontal distance is 785.15ft
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Can someone help me ASAP.
Answer:
A. JK and LM lie in the same plane
B. JK and LM do not intersect
E. JK and LM are parallel
Step-by-step explanation:
hope this helped
please find it and ignore the writing from pen
Answer:
18 is answer
Step-by-step explanation:
Answer:
what is business function of beauty
simplify √125+√45-√20
Answer:
[tex]6\sqrt{25}[/tex]
Step-by-step explanation:
[tex]\sqrt{125} = 5\sqrt{5} \\\sqrt{45} = 3\sqrt{5} \\\sqrt{20} = 2\sqrt{5} \\5\sqrt{5} + 3\sqrt{5} -2\sqrt{5} =6\sqrt{25}[/tex]
