According to the geometric diagram and the definition of the area for a rectangle, the area of the rectangle is 16√3 + 32 square milimeters.
How to estimate the area of the rectangle that contains three circles
In this problem we find a geometric system formed by a rectangle and three inscribed triangles. The detailed geometric diagram is introduced in the image attached below, in which we find that the triangle formed by the centers of the three circles is equilateral.
The area of the rectangle is equal to the product of its height and its width, whose dimensions are:
Height: h = 2 · 0.5√3 · (2 mm) + 2 · (2 mm) = 2√3 + 4 mm
Width: w = 4 · (2 mm) = 8 mm
A = h · w
A = (2√3 + 4 mm) · (8 mm)
A = 16√3 + 32 mm²
The area of the rectangle is 16√3 + 32 square milimeters.
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Find the dividend. ___ ÷ 22 = 1.9
4,180
418
41.8
4.18
Answer:
x = 41.8Step-by-step explanation:
Find the dividend. ___ ÷ 22 = 1.9
4,180
418
41.8
4.18
x : 22 = 1.9
x = 22 * 1.9
x = 41.8
Answer:
x = 41.8
Step-by-step explanation:
( Please help I'll mark brainliest )
Answer the question in the photo.
Answer: 5/3
Step-by-step explanation:
The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.
We know that N'Q'=10 and NQ=6, so the scale factor is 10/6 = 5/3.
What is the equation of the line that passes through the point (6,0) and has a slope of -5/6
The equation of line passing through point (6,0) and having a slope of -5/6 is y = -(5/6)x + 5
What is the equation of line with the given point and slope?The formula for equation of line is expressed as;
y = mx + b
Where m is slope and b is y-intercept.
Given the data in the question;
Point: (6,0)
x = 6y = 0Slope m = -5/6First, we determine the y-intercept by substituting the given values into the equation of line formula and solve for b.
y = mx + b
0 = (-5/6)6 + b
0 = -5 + b
b = 5
Now that the values of slope m ( -5/6 ) and y-intercept b ( 5 ) is known, plug these into y = mx + b to determine the equation of the line.
y = mx + b
y = (-5/6)x + 5
y = -(5/6)x + 5
Therefore, the linear equation of the line is y = -(5/6)x + 5.
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Every 10th week tamika visits the zoo. every 12th week she visits the local pet rescue. if she visited both this week, how many weeks will it be until she visits both in the same week again?
Answer:
60 weeks.
Step-by-step explanation:
10 and 12 both are divisible by 60, thus itll be 60 weeks before she visits them both in the same week again
what are the zeros in the problem y = 2(x+3)(x+3)-1
The zeros in the equation y = 2(x+3)(x+3)-1
[tex]x=-\frac{6-\sqrt{2}}{2},-\frac{6+\sqrt{2}}{2}[/tex]
This is further explained below.
What are the zeros in the problem?2(x+3)(x+3)-1
Set 2(x+3)(x+3)-1 equal to 0 .
2(x+3)(x+3)-1=0
Solve for x.
Simplify [tex]2(x+3)(x+3)-1[/tex]
[tex]$2 x^2+12 x+17=0$[/tex]
Use the quadratic formula to find the solutions.
[tex]\frac{-b \pm \sqrt{b^2-4(a c)}}{2 a}[/tex]
Substitute the values a=2, b=12, and c=17 into the quadratic formula and solve for x.
[tex]\frac{-12 \pm \sqrt{12^2-4 \cdot(2 \cdot 17)}}{2 \cdot 2}[/tex]
Simplify.
[tex]x=\frac{-6 \pm \sqrt{2}}{2}[/tex]
In conclusion, The final answer is the combination of both solutions.
[tex]x=-\frac{6-\sqrt{2}}{2},-\frac{6+\sqrt{2}}{2}[/tex]
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Midpoint formula (3,-8)(5,-2.5)
Answer:
Formula for midpoint is given as [(x1+x2)÷2, (y1+y2)÷2] where x and y are the coordinates of the points.
Midpoint = [(3+5)÷2, (-8+(-2.5))÷2]
= (8÷2, -10.5÷2)
= (4, -5.25)
please help ill give brainly
Answer:
1. B
2. D
Step-by-step explanation:
2. 26(2)-2
26(2)=52
52-2=50
If anybody knows how to do this pls anwser thansdk
Answer:
Either A or B.
Step-by-step explanation:
Each number in the sequence is being added by 6.
So you can use the equation: x+6
The ninth term in the sequence would be 36 because 30+6=36
The perimeter of a rectangle is 96cm. If the longer side of the rectangle is two times the length of the Shorter side. Find the area of the rectangle
The area of the rectangle will be 512[tex]cm^{2}[/tex] .
let the longer side of the rectangle be "l" and the shorter side of the rectangle be "b".
Hence, the perimeter of rectangle = 2(l+b)
we are given the perimeter =96cm
thus, 2(l+b)=96
l+b = 96/2
l+b =48
also, we are given the condition that the longer side of the rectangle is two times the length of the Shorter side.
Thus, l=2b, substituting this in l+b=48 we get
2b+b=48
3b=48
b=48/3
b=16cm, now substituting this in l=2b,
l=2(16)
l=32cm
area of the rectangle = length x breadth
=l x b
=32 x 16
= 512[tex]cm^{2}[/tex]
What is the difference between perimeter and area?
Area and perimeter are two crucial characteristics of two-dimensional shapes in mathematics. The area of a shape describes the space it occupies, whereas the perimeter describes how far the shape's boundary extends.
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A package falls from an airplane and hits there ground 12 seconds later. How high was the airplane flying?
The plane was flying at a height of 706.32 m .
The fundamentals of an object's motion, such as its position, velocity, or acceleration over time, are defined by kinematics equations of motion. An object's motion in one, two, and three dimensions is determined by these three equations of motion. One of three equations of motion can be used to calculate components like displacement (s), velocity (initial and final), time (t), and acceleration (a). The following are the three motion equations:
Initial formula: v = u + at
The second formula is s = ut + 0.5at2.
The third formula is v2 = u2 + 2as.
Let t stand for the package's flight time, s for the plane's altitude, and u for the packet's initial vertical velocity since it is simply dropped.
Given: t = 12 seconds for the delivery to arrive to the ground
With t = 12 and u = 0 in the second equation of motion, we so obtain
s = 0*t + 0.5*9.81*12² = 706.32 m
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If a store advertised a sale that gave customers a 1/4 off the original price of $825.00 he also wanted to use a coupon for 1/5?of the sales price . How much did he pay ?
If a store advertised a sale that gave customers a 1/4 off the original price of $825.00 he also wanted to use a coupon for 1/5 off the sale price, then he paid $453.75
The original price of the item = $825
The off offered by the store = 1/4
The off offered by the coupon = 1/5
Total off = 1/4 + 1/5
= 9/20
Then the selling price = The original price of the item - The original price of the item× (9/20)
= 825 - 825×9/20
= 825-371.25
= $453.75
Hence, if a store advertised a sale that gave customers a 1/4 off the original price of $825.00 he also wanted to use a coupon for 1/5 off the sale price, then he paid $453.75
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i'm honestly dying inside
1; basically the therom states that 90 + 36 = 126 = 5n + 1;
126 = 5n + 1;
125 = 5n
25 = n
Explain why the descriptions "right 5 up 2", "right 10 up 4", "left 5 down 2", "right 5/2 up 1", and "left 1 down 2/5" all describe the same inclination for a straight line.
All of the translations describes the same inclination for a straight line because the they all have a pitch (slope) of 2/5.
How to determine the pitch (slope) of a straight line?Mathematically, the pitch (slope) of a geometric figure or straight line can be calculated by using this formula:
Pitch (slope) = V/H
Where:
V represents the rising vertical distance of an object.H represents the horizontal distance an object runs through.Based on the information provided, the pitch (slope) of this line is given by:
Pitch (slope) = Up 2/Right 5 = 2/5
Pitch (slope) = Up 4/Right 10 = 2/5
Pitch (slope) = Down 42/Left 5 = 2/5
Pitch (slope) = Up 1/Right 5/2 = 2/5
Pitch (slope) = Down 2/5/Left 1 = 2/5
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Find the slope of the line passing through the points (-4, 5) and (-4,-2).
We can identify vertical lines by seeing if two points that fall on the line have the same x-coordinate.
If they do, then it is a vertical line.
The slope of vertical lines are always undefined.
Solving the QuestionWe're given the following points:
(-4, 5) and (-4,-2)These points have the same x-coordinate, revealing that this is a vertical line. Therefore, it has an undefined slope.
AnswerUndefined
A triangle has sides with lengths of 9 feet, 12 feet, and 15 feet. Is it a right triangle
Yes, a triangle that has sides with lengths of 9 feet, 12 feet, and 15 feet is a right-angled triangle
What is a right angled triangle?A right-angled triangle can be defined as a type of triangle, having one of its interior angles equivalent to 90 degrees.
The properties of right angled triangles include;
One of its angles is equivalent to 90 degreesThe opposite side of the angle is known as the hypotenuseThe hypotenuse has the longest lengthThe sum of its interior angles is 180 degreesThe two sides of the triangle that are adjacent to the right angle are known as the base and perpendicularFrom the information given, we have;
Hypotenuse side = 15 feet
Opposite side = 12 feet
Adjacent side = 9 feet
We can see that the properties of a right-angles triangle submits to the parameters given.
Hence, it is a right-angled triangle
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Your original grades on your exams were: 75, 85, 90, 90,
100, 75, 80, 100, 90.
You retake the exams and now your scores are:
85, 85, 100, 90, 100, 85, 80, 100, 90.
By how many percentage points did you improve
your average score?
Hint: Find the mean of both sets of data. Then
find the difference between the two. Round to
the nearest %.
His grades improved by 2.2 %
What is mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
Given: Original grades = 75, 85, 90, 90,
100, 75, 80, 100, 90.
And grades after the retake = 85, 85, 100, 90, 100, 85, 80, 100, 90.
So the sum of the original scores = 785.
Thus the percentage can be calculated by 785/ total marks
= 785/ 900 × 100 = 87.2 %
And the sum of the grades after retake= 805
Thus the percentage will become = 805/900 × 100 = 89.4 %
The mean of the first set is 87 and the mean of the second set is 89.
Thus the difference between the two is 2.
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que operaciones son equivalentes a 2(x + 3)
The value of the equation illustrated as 2(x + 3) is 2x + 6.
How to express the equation?In Mathematics, an equation simply illustrates the relationship that the variables have. This can be replaced with letters to express the information.
Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same values.
In this case, it should be noted that the expression for 2(x + 3) will be:
= 2(x + 3)
Open the bracket
= 2x + 6
The value of the expression is 2x + 6.
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4x+3y
Please help me or im going to have a F all year
The values of x and y in the system of equations are x = 1 and y = 2
What are linear equations?Linear equations are equations that have constant average rates of change.
How to determine the solution to the system?A system of linear equations is a collection of at least two linear equations.
In this case, the system of equations is given as
4x + 3y = 10
y - x = 1
Make y the subject in the second equation, by adding x to both sides of the equation
y - x + x = x + 1
This gives
y = x + 1
Substitute y = x + 1 in 4x + 3y = 10
4x + 3(x + 1) = 10
4x + 3x + 3 = 10
Evaluate the like terms
7x = 7
This gives
x = 1
Substitute x = 1 in y = x + 1
y = 1 + 1
Evaluate
y = 2
Hence, the solution for the system of linear equations 4x + 3y = 10 and y - x = 1 are x = 1 and y = 2
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Possible question
Solve for x and y in the following system of equations
y - x = 1
4x + 3y = 10
What is the special angle pair relationship between the two?
Answer: Corresponding angles
Step-by-step explanation:
True by the definition of corresponding angles.
jimmys saving account makes 0.7% interest every month if he puts 200 in the account 2 months ago how much is in therenow round to the nearest cent
If jimmys saving account makes 0.7% interest every month if he puts 200 in the account 2 months ago, then 202.81 is in therenow round to the nearest cent
What is Percentage?Percentage, a relative value indicating hundredth parts of any quantity.
Given
jimmys saving account makes 0.7% interest every month.
The initial deposit is 200 in the account
After two months of time, we need to the find the total amount in account.
0.7% is converted to decimal
0.7/100=0.007
So after two months
A is amount after two months
r is rate of interest
t is time period
[tex]A=P(1+r)^{t}[/tex]
=200(1+0.007)²
=200(1.007)²
=202.8
Hence 202.8 is there now in Jimmys savings accout
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Please help I’m completely lost
Answer:
9
Step-by-step explanation:
So we'll need to add both angles to make it equal to the total angle. Then we can find X by solving an equation.
(4x + 12) + (12x - 8) = 148
16x + 4 = 148
16x = 144
x = 9
33 POINTS & BRAINIEST !! PLEASE BE QUICK!!
The number line (C) represents the solution to the inequality -0.96 ≥ 0.3x option (C) is correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
The inequality is:
Let the number is x:
-0.96 ≥ 0.3x
0.3x ≤ -0.96
x ≤ -0.96 /0.3
x ≤ -3.2
x ∈ (-∞, -3.2]
As we know, the number line can be defined as the representation of the numbers on a straight line that goes infinitely on both sides.
The number line (C) represents the solution to the inequality -0.96 ≥ 0.3x
Thus, the number line (C) represents the solution to the inequality -0.96 ≥ 0.3x option (C) is correct.
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Find the sum of APS 2+5+8+........ as far as the 18th term
Sum of APs 2+5+8+........ as far as the 18th term is 495.
Sum of n terms of A.P.
[tex]S_{n} = \frac{n}{2}[2a+(n-1)d][/tex]
where,
[tex]S_{n}[/tex] = sum of n terms of A.P.
a = first term of A.P.
d = Common difference.
Given,
d=5−2=3
a=2
[tex]S_{11}[/tex]=[tex]\frac{18}{2}[/tex][4+(18-1)×3]
=[tex]\frac{18}{2}\\[/tex][4+51]
=[tex]\frac{18}{2}[/tex]×55
=495
An arithmetic progression, or arithmetic sequence, is a sequence of numbers in which the difference between successive members is constant. Here is the AP formula for AP a, a + d, a + 2d, a + 3d, . . . a + (n - 1) d. The formula for finding the nth term is [tex]a_{n}[/tex] = a + (n – 1) × d.
Then the formula for finding the sum of the arithmetic progressions is:[tex]S_{n} = \frac{n}{2}[2a+(n-1)d][/tex] where a = first term in arithmetic progression, n = number of terms in arithmetic progression, and d = total difference.
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Steve has 10 biscuits in a tin. There are 3 digestive, 2 chocolate and 5 ginger biscuits. Steve takes two biscuits at random from the tin. Work out the probability that he chooses two different types of biscuits.
Answer:
0%
Step-by-step explanation:
Answer:
Step-by-step explanation:
There are 10*9 ways of selecting two biscuits (in order 1,2)
Of these 90 possible orders
2 digestives can be picked in 5*4 ways =20
2 chocolate can be picked in 2*1 ways = 2
2 ginger can be picked in 3*2 ways =6
Digestive then chocolate can be selected 5*2 ways =10
Chocolate then Digestive can be selected 2*5 ways = 10
Digestive then ginger can be selected 5*3 ways ways = 15
Ginger then digestive can be selected 3*5 ways ways = 15
Chocolate then Ginger can be selected 2*3 ways =6
Ginger then chocolate can be selected 3*2 ways = 6
I have done this the ‘long’ way to demonstrate that all 90 possible outcomes are covered. (Double check)
Probability of taking two different is then the total of the last 6 options divided by the total number of options = 2*(10+15+6)/90 = 31/45 = 68.89% (Approx.)
100 points, please answer and take time on the answer
1) The relationship between ∠2 and ∠6 is that they are alternate angles.
2) The relationship between ∠1 and ∠3 is that they are corresponding angles.
How to find the congruent angles?Corresponding angles are defined as the angles that are formed in corresponding corners with the transversal when two parallel lines are intersected by any other line.
Alternate angles are defined as the angles that are formed by the intersection of a transversal and two parallel lines.
This alternate angle could either be interior alternate or exterior alternate.
1) Since we are told that Line 1 is parallel to Line 2, then it means that from definition of alternate angles that ∠2 and ∠6 are alternate angles.
2) Since we are told that Line 1 is parallel to Line 2, then it means that from definition of corresponding angles that ∠1 and ∠3 are corresponding angles.
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four minus 7 times a number is equal to 12 minus 3 times the number
Answer:
number is - 2
Step-by-step explanation:
let the number be n then 7 times the number is 7n and 3 times the number is 3n, so
4 - 7n = 12 - 3n ( add 3n to both sides )
4 - 4n = 12 ( subtract 4 from both sides )
- 4n = 8 ( divide both sides by - 4 )
n = - 2
PLease help me I am about too have a big exam
Answer:
70 square units
Step-by-step explanation:
Since it is half a big rectangle, (10*14)/2=70
3. Which number is an irrational number?
A. 5.12
B.
c. -- 1/2
D. -√25
19
V
The number which is an irrational number as required to.ve identified among the answer choices given is; Choice B; √19.
What is an irrational number?
An irrational number, as the name implies is any real number that cannot be expressed as the quotient of two integers (fraction). It follows that such a number cannot be expressed , a/b, where a and b are both integers.
On this note, the number which cannot be expressed in such form is; Choice B; √19.
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A
Which phrase represents this expression?
35 ÷ (12-5)
Select each correct answer.
O the total of 35 and 12 is subtracted by 5
035 divided by the difference of 12 and 5
05 less than the quotient of 35 and 12
b
the quotient of 35 and the difference of 12 and 5
a
Answer:
35/7
Step-by-step explanation:
What is the range of f(x) = |x| − 5?
−∞ < y ≤ −5
−5 ≤ y < ∞
0 ≤ y < ∞
5 ≤ y < ∞
The range of the function f(x) = |x| − 5 is −5 ≤ y < ∞.
Given the function is f(x) = |x| − 5
we know the domain is (−∞,∞)
therefore from the domain we calculate the range as:
−5 ≤ y < ∞.
A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values.
All real numbers are defined by the function y=|ax+b|. Consequently, the set of all real numbers is the domain of the absolute value function. Every time a number has an absolute value, it has a positive value. The range of an absolute value function with the form y= |ax+b| is hence y R | y 0.
Hence we get the required range if the function.
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Answer:
hello Your answer is down below
Step-by-step explanation:
The Question given "What is the range of f(x) = |x| − 5?"
The answer choices:
−∞ < y ≤ −5
−5 ≤ y < ∞
0 ≤ y < ∞
5 ≤ y < ∞
So what do we know? hmm: The definition of Function range is: "The set of values of the dependent variable for which a function is defined".
So the range of: [tex]\mathrm{Range\:of\:}\left|x\right|-5\\[/tex] is f(x) ≥ -5.
Which would mean the Interval Notation Oh yeah btw the answer is −5 ≤ y < ∞
is [-5, [tex]\:\infty[/tex])
So based of that we can infer the answer is gonna have -5 in it.
As a graph it would look like this
SO from the graph we can see the answer is −5 ≤ y < ∞