Write 6.42 as a mixed number in simplest form.
6.42=
Answer:
6 [tex]\frac{21}{50}[/tex]
Describe at least two differences between constructing an inscribed regular hexagon and constructing an inscribed square.
100 points and brainliest
There are some differences in the process of constructing a inscribed square and a hexagon inside a circle.
When constructing a square, we start with a circle. Then draw its diameter through the center of the circle. Now putting compass on end points of this diameter, measuring more than half the length of diameter on the compass, draw 4 arcs above and below the diameter. So we get a perpendicular bisector of the diameter. In total, we get 4 points on the circle. Joining the adjacent points, we get the inscribed square.
When constructing the regular hexagon, start drawing a circle. Put the compass on a point on the circle and measure the radius on it. Now draw an arc on the circle. Putting compass on this new point on the circle draw another arc. Continuing like this, we get a total of 6 arcs giving 6 points on the circle. Join the adjacent points to get an inscribed regular hexagon.
So the differences in constructing the square and the regular hexagon are:
Diameter is used in square whereas radius is enough for the regular hexagonPerpendicular bisector is constructed for square while regular hexagon does not need one.For a square,4 arcs giving 4 points on the circle are needed. But for a regular hexagon 6 arcs giving 6 points are there.Learn more about inscribed shapes at https://brainly.com/question/21502832
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Brooke and her mom are 21 years apart in age. The sum of their ages I'd 49. How old are Brooke and her mom
Answer: her mom is 35 and she is 14.
b.a slug takes 4.25 minutes to travel 11.2 centimeters. what is the speed of the slug in meters per second? predicted number of significant digits in answer: 2 or 3 answer value: actual number of significant digits:
Answer:
0.00375 meters per second,
Step-by-step explanation:
0.00375 meters per second, we know this is the answer because, 4.25*60=255 and 255/11.2=0.00375
Solve the literal equation for x.
13. x + 5y = 2
14. 2x + 5 = 12y + 9
Answer:
x=2
Step-by-step explanation:
You would use substitution. In which x =-5y +2 and x = 6y+2. -5y + 2 = 6y + 2. So would solve for y value then plug it into the equation to solve x.
work out the value of (3.5 x 10^6) ÷ (5 x 10^-3) give your answer in standard form.
The standard form of (3.5 x 10^6) ÷ (5 x 10^-3) is 7*10^8
What is standard form?Any number that we can write as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form.
Given:
(3.5 x 10^6) ÷ (5 x 10^-3)
On further solving
3.5 * 10^(6 -(-3)) / 5
3.5* 10^9 /5
0.7 * 10^9
7*10^8
Hence, the standard form is 7*10^8.
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Which algebraic expression is equivalent to the expression below?
4(4x + 5) + 4(11 - x)
A.
20x + 64
B.
12x + 24
C.
12x - 64
D.
12x + 64
Answer:
D. 12X + 64
Step-by-step explanation:
4(4x+5)+4(11-x)
4(4x+5)+4(11−x)
4(4x + 5) + 4(11 - x)
1 Expand by distributing terms.
16x+20+4(11-x)
16x+20+4(11−x)
2 Expand by distributing terms.
16x+20+44-4x
16x+20+44−4x
3 Collect like terms.
(16x-4x)+(20+44)
(16x−4x)+(20+44)
4 Simplify.
12x+64
12x+64
Answer:
D. 12x + 64
Step-by-step explanation:
expand the brackets by multiplying:
= 16x + 20 + 44 - 4x
= 12x + 64
brainliest pls :,)
cos x + sin x tan x = sec x
Answer:
Dear Friend
To prove the given equation
please solve this question step by step
Answer:
Step-by-step explanation: The given question is wrong. To be a valid question, there must be "-9" in place of "-7" in the second given matrix.
WILL GIVE YOU BRAINILEST or however you spell it
BIRDHOUSES Ebony can build 0.7 birdhouse in 1 day. How many birdhouses can she build in 10 weeks?
Step-by-step explanation:
0.7 birdhouses in 1 day.
how many in 10 weeks ?
for that we need to know how many days are in 10 weeks.
1 week = 7 days
assuming that she is working on the birdhouses also on weekends, that means 10 weeks = 10×7 = 70 days.
and that means she can build
0.7 × 70 = 49 birdhouses in 10 weeks.
now, if she works only Monday to Friday on the birdhouses, then that means
1 week = 5 days
and 10 weeks = 10×5 = 50 days.
and that means she can build
0.7 × 50 = 35 birdhouses in 10 weeks.
if there is really no other information about that, I would use the usual 7 days per week and the first solution (49).
The figure shows two triangles on a coordinate grid:
What set of transformations is performed on triangle ABC to form triangle A′B′C′? (1 point)
a
A 180 degree counterclockwise rotation about the origin followed by a translation 5 units up
b
A 270 degree counterclockwise rotation about the origin followed by a translation 5 units up
c
A translation 5 units to the left followed by a 180 degree counterclockwise rotation about the origin
d
A translation 5 units to the left followed by a 270 degree counterclockwise rotation about the origin
The set of transformations that is performed on triangle ABC to form triangle A′B′C′ is C. A translation 5 units to the left followed by a 180 degree counterclockwise rotation about the origin.
What is a translation?A translation is a geometric transformation when each point in a figure, shape, or space is moved in a specific direction by the same amount. A translation can also be thought of as moving the coordinate system's origin or as adding a constant vector to each point.
In this case, it can be seen that the shape was rotated counterclockwise twice. That's 90° × 2 = 180°
Therefore, the transformation that is performed on triangle ABC to form triangle A′B′C′ is a translation 5 units to the left followed by a 180 degree counterclockwise rotation about the origin.
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laura runs a 100 m race in 20.0 s. what is her time in kiloseconds ? how long is the race in kilometers
Laura runs for 0.02 kiloseconds
The race is 0.1 kilometers
How to convert to kiloseconds and kilometers ?The first step is to convert 20 seconds to kiloseconds
= 20/1000
= 0.02 kiloseconds
The next step is to calculate the distance in kilometers
Convert 100 meters to kilometer
= 100/1000
= 0.1 km
Hence the race is 0.1 kilometers
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russell runs 9/10 miles in 5 minutes. at this rate how many miles can he run in one mintue?
Answer:
1.8 miles
Step-by-step explanation:
24-{[16-(8-1)]×2 please answer
Answer:
4
Step-by-step explanation:
It look like your are missing a bracket.
Do the inner most parentheses first.
24 -(16 -(7))x2
24 - 9 x 2
24 -18
4
The man has 2 he loses one how many does he have left
Answer:
1
Step-by-step explanation:
If a person has 2 apples and gives someone 1 which is 2-1=1
Can someone help me out
Answer:
I believe its graph 4 (not sure though, you can plug in some values to make sure)
Step-by-step explanation:
please help question is in the image!
x1 = 4 x2 = -4
substitute the values into the given equations!!
(4 + (-4)) / 2 = (0 / 2) = 0
y1 = -5 y2 = 5
(-5 + 5) / 2 = (0 / 2) = 0
midpoint = (0, 0)
bold values - box answers :D
Which numbers are a distance of 3 units from 12 on a number line?
Select each correct answer.
Answer:
9 and 15
Step-by-step explanation:
ans should be 9 and 15
i dun really understand what this qns wants u to find really bad qns to test
The square below represents one whole. What percent is represented by the shaded area?
Answer:
29%
Step-by-step explanation:
There are 100 boxes. 29 of them are shaded in, so we can divide that by 100.
29/100=0.29
0.29 is equal to 29%
A shop displays a total of 50 type A and type B mice. The cost of a type A mouse is $6 and that of a type B mouse is $13. If the total cost of all 50 mice is $433, find the number of type A mice displayed. The answers is 31
Please help - thanks
Insert parentheses in the appropriate places:
8+ 3-2 ×9 =17
28 ÷ 4+3 × 4+3 =28
5× 3+2 ×6 ÷3 =50
6× 9-4 +3-3 ×4=30
5 ×3+2× 6÷3 =19
5× 3+2×6 ÷3 =25
Answer:
the answer is 27
Step-by-step explanation:
Can someone help me
Answer: well look you can fid live tutors
Step-by-step explanation:
n vcxvbnm
ill give uu crown if you answer this for me
Answer:
Given,points (0,3)and(10,8)
Step-by-step explanation:
slope(m)=
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
=
[tex] \frac{8 - 3}{10 - 0} [/tex]
=
[tex] \frac{5}{10} [/tex]
=
[tex] \frac{1}{2} [/tex]
The slope is 1/2.
If the answer is correct please mark brainliest
Which of the following ordered triples is the solution to the system of equations?
2x − y − z = −1
3x + y − z = 2
x + y − 5z = −8
Answer:
1,1,2
Step-by-step explanation:
The solution to the given system of equations are:{ x = 1, y = 1, z = 2} which is the corrrect answer would be option (A).
What is an equation?The equation is defined as a mathematical statement with at least two terms that contain variables or values that are equal.
We have been given the system of equations as:
2x − y − z = −1
3x + y − z = 2
x + y − 5z = −8
Isolate the term of x in the equation 2x − y − z = −1, and we get
x = (- 1 + y +z)/2
Substitute the value of x = (- 1 + y +z)/2 in the above both equations,
3(- 1 + y +z)/2 + y − z = 2
(- 1 + y +z)/2 + y − 5z = −8
Simplify the equation to you get,
(5y + z - 3) / 2 = 2
(3y - 9z - 1) / 2 = -8
Isolate the term of y : (5y + z - 3) / 2 = 2 ⇒ y = (-z +7 )/5
Substitute the value of y = (-z +7 )/5 in the equation (3y - 9z - 1) / 2 = -8
(3(-z +7 )/5 - 9z - 1) / 2 = -8
Simplify the equation to you get,
8(-3z + 1)/d = -8
Isolate the term of z : 8(-3z + 1)/d = -8 ⇒ z = 2
Substitute the value of z = 2 in the equation y = (-z + 7) / 5 to simplify to get
⇒ y = 1
Substitute the values of y = 1 and z = 2 in the equation x = (-1 + y + z) / 2 to simplify to get
⇒ x = 1
The solution to the given system of equations are:
{ x = 1, y = 1, z = 2}
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a quarry needs to ship a marble block weighing 10000 pounds. if the cost of shipping is 110 per ton, how much will shipping cost?
The cost of shipping the marble block is 550.
The total weight of the marble block is 10,000 pounds.We need to convert the weight from pounds to tons.Unit conversion is the process of converting various units of measurement for the same amount, often using multiplicative conversion factors that modify the measured quantity value without affecting its effects.1 ton equals 2000 pounds.The total weight of the marble block in tons is 10000/2000.The total weight of the marble block is 5 tons.The cost of shipping is 110 per ton.The total cost of shipping the marble block = 5 * 110.The total cost of shipping the marble block is 550.To learn more about unit conversion, visit :
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Write and solve a system of equations for each problem situation. Interpret the solution in terms of context.
Pedro has 97 athlete cards. In his collection, he has 39 more baseball player cards than football player cards. How many of each type of card does Pedro have?
Number of each type of cards after solving system of equations for given situation of Pedro cards are 29 and68.
Interpretation is Pedro collected 29 football cards and 68 baseball cards.
As given,
Total number of cards=97
Let y=football cards
x=baseball cards
System of equations are
x + y=97 __(1)
x=y +39 __(2)
Substitute (2) in (1)
y+ 39 +y=97
⇒2y=58
⇒y=29
Substitute y=29 in (2),
x=29 +39
=68
Therefore, number of each type of cards after solving system of equations are football cards 29 and baseball cards 68.
Interpretation is Pedro collected 29 football cards and 68 baseball cards.
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Which equation represents a line through (4, -6) and (0, 2)?
Answer: C
Step-by-step explanation: Substitute four and zero in each of the choices and see if the sum becomes negative six and two, respectively. If it does, then the equation represents the line.
Third equation substitution:
x = 4
y = -2(4) + 2
y = -8 + 2
y = -6
x = 0
y = -2(0) + 2
y= 0 + 2
y = 2
Therefore, the answer is C.
Note: I skipped to the third equation because the other equations are false.
4(4 – 12x) – 2(x – 12) + 5x = –50?
The value of x of the given equation is 2.
What is equation?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.
Given:
The given equation is
4(4 – 12x) – 2(x – 12) + 5x = –50
We have to find the value of x.
According to given question we have
4(4 – 12x) – 2(x – 12) + 5x = –50
Rearrange terms we get,
4(– 12x+4) – 2(x – 12) + 5x = –50
Distribute we get,
-48x+16-2x+24+5x=-50
Compare the like terms we get,
-45x=-50-40
-45x=-90
x=2
Therefore, the value of x of the given equation is 2.
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What is the area, in square meters, of the shape below? Express your answer as a fraction in simplest form.
Area = 5/12 m².
For image see the attachment below-
Area of Triangle - A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon. The above figure is a triangle denoted as △ABC. Some real-life examples of triangles include sandwiches, traffic signs, cloth hangers, and a rack in billiards.
The basic formula to find the area of a triangle is,
Area of triangle = 1/2 (b × h);
where b = base and
h = height of the triangle.
Now , we have been given that -
Base =5/3 m
Height = 1/2 m
Find out area of the triangle .
The area of a triangle = 1/2 x base x height
Put the values in formula
area of a triangle = 1/2 x 5/3 x 1/2
area of a triangle = (1x5x1)/ (2x3x2)
area of a triangle = 5/12 m².
Hence, the area in square meters of the given shape is 5/12 .
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The sum of three lengths of a fence ranges from 45 to 60 inches. Two side lengths are 9 and 18 inches. If the length of the third side is x inches, write and solve a compound inequality to show the possible lengths of the third side.
a. 9 ≤ x ≤ 18
b. 18 ≤ x ≤ 33
c. 36 ≤ x ≤ 42
d. 45 ≤ x ≤ 60
The solution to a compound inequality to show the possible lengths of the third side is 18 ≤ x ≤ 33.
What is Compound Inequality?Two or more inequalities are connected together with or or and to form a compound inequality (also known as a combined inequality).
A value must only make one aspect of an inequality true in order to be the solution to an or inequality. An inequality's solution must make both portions true in order to be effective.
According to the given values;
given parameters are
Range = 45 to 60 inches
Sides = 9, 18 and x
The sum of the three sides is
sum=9 + 18 + x
Evaluate
Sum = 27 + x
Recall that
Range = 47 to 60 inches
So, we have
45 ≤ 27 + x ≤ 60
Subtract through by 27
So, we have
18 ≤ x ≤ 33
Hence, the solution to a compound inequality to show the possible lengths of the third side is 18 ≤ x ≤ 33.
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