Answer:
B. 2/5
Step-by-step explanation:
dividing by 2 both numerator and denominator we get
2/5
hope it helps u
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how do i find x pls help
In the given Quadrilateral, The measure of ∠x=110°.
what are quadrilaterals?
Quadrilaterals are four-sided polygons. They are two-dimensional shapes with four straight sides, four vertices, and four angles which have sum of 360°. Quadrilaterals can have parallel sides, opposite sides that are congruent, opposite angles that are congruent, and diagonals that bisect each other. Some examples of quadrilaterals include squares, rectangles, parallelograms, trapezoids, and rhombuses.
Now,
For given Quadrilateral
three angles given are 128°, 82° and 40° and 4th angle=x°.
To find x
As we know
Sum of all interior angles of a quadrilateral=360°
128°+82° +40° +x°=360°
x=360-250
x=110°
hence,
the measure of ∠x=110°.
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The meaning of the decimal representation of a number 0.d1d2d3?. (where the digit d1 is one of the numbers 0,1,2,?., 9) is that Show that this series always converges.
This series 9 (.d1d2d3 . . .) is convergent because it is in increasing order.
How to describe the convergent series?In a geometric progression, each element following the first is created by multiplying it by a number known as the common ratio, which is represented by the symbol r.For the stated question-
The information provided indicates that the decimal expression's digits, d, are 10.The common ratio is 1/10, and the right-hand side of a inequality is a sum with 1 as the first term in the geometric progression.The geometric progression's sum in this instance is represented as follows:
= a / (1 - r)
= 1 / (1 - r)
= 10/9
As a result, the series becomes convergent since it is in increasing order.
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The complete question is-
The meaning of the decimal representation of a number 0.d1d2d3 . . . (where the digit i is one of the numbers 0, 1, 2, . . ., 9) is that 0.d1d2d3d4 . . . = d1/10 + d2/10^2 + d3/10^3 + d4/10^4 + . . . Show that this series always converges.
Use the Pythagorean Theorem to find the missing length and then round the
result to the nearest tenth.
a = 7, b = 7, C =
Answer:
C (Hypotenuse) = 9.9
Step-by-step explanation:
Given the two sides of a triangle, where a = 7, and b = 7:
We can use the Pythagorean Theorem where it states: c² = a² + b².
Substitute the given values into the Pythagorean Theorem to find the length of the hypotenuse.
c² = a² + b²
c² = 7² + 7²
c² = 49 + 49
c² = 98
\(\LARGE\mathsf{\sqrt{c^2}\:=\:\sqrt{98}}\)
c = 9.89 or 9.9
Therefore, the length of the hypotenuse is 9.9, making the given triangle an isoceles triangle with two equal sides.
What is 3-3×6+2 please?
Answer:
-13Step-by-step explanation:
What is 3-3×6+2 please?
remember PEMDAS
3 - 3 × 6 + 2 = (solve multiplication)
3 - 18 + 2 = (solve addition)
3 - 16 = (solve subtraction)
-13 (result)
A container with an open top is to have 10 m3 capacity and be
made of thin sheet metal. Calculate the dimensions of the box if it
is to use the minimum possible amount of metal.
The dimensions of the box if it is to use the minimum possible amount of metal are,
⇒ 2.714 m, 2.714 m, 1.358 m
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A container with an open top is to have 10 m³ capacity.
Now,
Let the dimensions are x, y and z.
Since, Volume of box = 10 m³
Hence, We get;
⇒ xyz = 10
⇒ z = 10/xy
Since, A container is open in top.
Hence, The surface area = 2xz + 2yz + xy
Substitute z = 10/xy;
⇒ S.A = 2x (10/xy) + 2y (10/xy) + xy
= 20/y + 20/x + xy
For minimum metal;
⇒ d (S.A)/ dx = 0
⇒ - 20/x² + y = 0
⇒ y = 20/x² ..(i)
And, d (S.A) / dy = 0
⇒ - 20/y² + x = 0
⇒ x = 20/y² ..(ii)
Divide equation (i) and ((ii);
⇒ x = y
Hence, We get;
⇒ xyz = 10
⇒ x³ = 10
⇒ x = 2.714
And, y = 2.714
So, The value of z is,
⇒ z = 10/xy
⇒ z = 10 / 2.714×2.714
⇒ z = 1.358 m
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Use the long division method to find the result when 9x³ 3x² + 9x + 3 is divided
by 3x + 2. If there is a remainder, express the result in the form q(x) + (r(x)/b(x).
Answer:
81x^6+54x^5+27x^2+18x+3/3x+2
Step-by-step explanation:
Multiply, Combine exponents, then find common denominator
What is the area of a triangle with side lengths 17, 18, and 19? Express your answer in simplest radical form.
The area of a triangle with side lengths 17, 18, and 19 in simplest radical form is 18√7770
How to find the area of the triangleThe area of the triangle is calculated using the formula
Area of triangle = √[s(s – a)(s – b)(s – c)]
s = perimeter o the triangle
a, b and c are the lengths of the triangle
s = a + b + c = 17 + 18 + 19 = 54
Area of triangle = √[54 * (54 – 17)(54 – 18)(54 – 19)]
Area of triangle = √[2517480]
Area of triangle = 18√7770
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A rectangle measures 2 2 /3 inches by 1 5/ 9 inches. What is its area?
The area of the rectangle is A = 4 4/27 inches²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangle be represented as A
Let the length of the rectangle be L = 2 2/3 inches
Let the width of the rectangle be W = 1 5/9 inches
So , Area of Rectangle = Length x Width
On simplifying , we get
Area of rectangle A = 2 2/3 inches x 1 5/9 inches
A = ( 8/3 ) ( 14/9 )
A = ( 112/27 )
On further simplification , we get
A = 4 4/27 inches²
Hence , the area of rectangle is A = 4 4/27 inches²
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Luke can dig a hole in four days and his friend Steve can dig it in five days how long will it take them to dig the hole together
Answer:
2 \(\frac{2}{9}\) days
Step-by-step explanation:
Let d = the number of days.
\(\frac{1}{4}\) d = \(\frac{1}{5}\)d = 1
\(\frac{5}{20}\) d + \(\frac{4}{20}\) d = 1
\(\frac{9}{20}\) d = 1 Multiply both sides by \(\frac{20}{9}\)
(\(\frac{20}{9}\))(\(\frac{9}{20}\)) d = 1(\(\frac{20}{9}\))
d = \(\frac{20}{9}\) I can break 20 into 9 + 9 + 2
d = \(\frac{9}{9}\) + \(\frac{9}{9}\) + \(\frac{2}{9}\) \(\frac{9}{9}\) = 1
d = 1 + 1 + \(\frac{2}{9}\)
d = 2 \(\frac{2}{9}\)
4.2 The Court lines are 50 mm wide. Court paint covers 7 m² per litre of paint. 4.2.1 Calculate the total length of the centre circle and the two goal semi circles to be repainted. You may use the formula: Total length Circumference of a centre circle + 2 x Circumference of a semicircle =
The total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.
How to calculate the Calculate the total length of the centre circle and the two goal semi circles to be repaintedGiven:
Court lines are 50 mm wide.
Court paint covers 7 m² per litre of paint.
The centre circle is a complete circle, so the circumference is given by the formula: Circumference = 2πr
Radius of the entire circle = 9 m / 2 = 4.5 m
Radius of the centre circle = 4.5 m - 0.05 m (converted 50 mm to meters) = 4.45 m
Circumference of the centre circle = 2π(4.45 m) = 27.94 m
Next, let's calculate the circumference of the semicircles:
The semicircles are half circles, so the circumference is given by the formula: Circumference = πr
The radius (r) of the semicircles is the same as the radius of the entire circle, which is 4.5 m.
Circumference of a semicircle = π(4.5 m) = 14.14 m
Total length = Circumference of the centre circle + 2 x Circumference of a semicircle
Total length = 27.94 m + 2(14.14 m)
Total length = 56.22 m
Therefore, the total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.
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Need help with this
!!!!!!!!!!
Answer: x > 2
Step-by-step explanation:
Answer:
here the given question is higher level
Answer questions but the top being the following instead of image
Investment a: $3,000 invested for six years compounded, semi annually at 6%
Investment b: $4000 invested for four years compounded quarterly at 2.7%.
Answer:
B will get more $
Step-by-step explanation:
3000 annual rate 6% so half a year is 3%, compounding semiannually for 6 years = 12 times
so 3000*(1+3%)^12 =4277.28
$4000 invested for four years compounded quarterly at 2.7%. so every quater is 2.7%/4 =0.675%, compounding quarterly for 4 years = 16 times
so 4000*(1+0.675%)^16=4454.57
a=4, b = 5, A = 16
Solve the Triangle
Triangle has two solutions: a=4; b=5; c=1.051 and a=4; b=5; c=8.561.
Extra: #1 Obtuse scalene triangle.
Sides: a = 4 b = 5 c = 1.051
Area: T = 0.724
Perimeter: p = 10.051
Semiperimeter: s = 5.026
Angle ∠ A = α = 16° = 0.279 rad
Angle ∠ B = β = 159.846° = 159°50'45″ = 2.79 rad
Angle ∠ C = γ = 4.154° = 4°9'15″ = 0.073 rad
Height: ha = 0.362
Height: hb = 0.29
Height: hc = 1.378
Median: ma = 3.009
Median: mb = 1.517
Median: mc = 4.497
Inradius: r = 0.144
Circumradius: R = 7.256
Vertex coordinates: A[1.051; 0] B[0; 0] C[-3.755; 1.378]
Centroid: CG[-0.901; 0.459]
Coordinates of the circumscribed circle: U[0.526; 7.237]
Coordinates of the inscribed circle: I[0.026; 0.144]
Exterior (or external, outer) angles of the triangle:
∠ A' = α' = 164° = 0.279 rad
∠ B' = β' = 20.154° = 20°9'15″ = 2.79 rad
∠ C' = γ' = 175.846° = 175°50'45″ = 0.073 rad
Find the average value of the functions on the given interval.
Average value of
f\left(x\right)=x [4,9]
The average rate of change of the function over the interval is 1
Finding the average rate of changeFrom the question, we have the following parameters that can be used in our computation:
f(x) = x
The interval is given as
From x = 4 to x = 9
The function is a linear function
This means that it has a constant average rate of change
So, we have
f(4) = 4
f(9) = 9
Next, we have
Rate = (9 - 4)/(9 - 4)
Evaluate
Rate = 1
Hence, the rate is 12
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Which graph shows the solution set for 2 x + 3 greater-than negative 9? A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
Step-by-step explanation:
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded
GIVEN a = (2 -3) and b = (1 -5 ) find 3a - b
Answer:
3a - b = 1
Step-by-step explanation:
a = (2-3)
b = (1-5)
Substitute the values of a and b to the 3a-b.
3(2-3) - (1-5)
6-9 - (-4)
6 - 9 + 4
-3 + 4
= 1
Therefore, 1 is the answer.
Step-by-step explanation:
Solution :
Given,
a= (2 - 3)
b= (1 - 5)
Now,
3a-b
= 3(2 - 3) -(1 - 5)
= 3×(-1) - (-4)
= -3+4
= 1
.
. .The value of 3a-b is 1
Original price of an SUV: $34,400.00
Discount: 25%
Step-by-step explanation:
Step 1- convert 25% into a decimal
Step 2- Multiply 34,400.00 x 0.25
Which should give you $8600.00
Step 3- Then subtract 34,400.00 from 8600.00
Which will give you $25800.0
The The thing to remember is Multiply with the discount then subtract your answer from the original price of the item.
Hope This Helps !!
Compute the probability of rolling an even number
The number of outcomes that are even are 2, 4, and 6. The total number of rolls is 40 so, 0.6 is the experimental probability of rolling an even number.
Describe Probability?Probability is a branch of mathematics that deals with the study of random events or outcomes. It is used to measure the likelihood or chance of an event occurring, ranging from impossible (0 probability) to certain (1 probability).
The basic concept of probability involves determining the ratio of the number of favorable outcomes to the total number of possible outcomes. This ratio is expressed as a fraction, decimal, or percentage.
(a) The number of outcomes that are even are 2, 4, and 6. The total number of rolls is 40. Thus, the following is the experimental likelihood of rolling an even number:
P(even) = (number of even outcomes)/(total number of rolls)
= (7+6+11)/40
= 24/40
= 0.6
Hence, 0.6 is the experimental probability of rolling an even number.
(b) The probability of rolling an even number is 1/2, assuming the cube is fair, since there are three even outcomes (2, 4, and 6) out of a total of six possible outcomes.
Therefore, the theoretical probability of rolling an even number is 1/2.
(c) The statement that is true is:
The experimental probability and the theoretical probability are close, but they are not equal.
(d) The experimental and theoretical probabilities do not have to be equal. The experimental probability is based on actual data, while the theoretical probability is based on assumptions about the probability of each outcome. The experimental probability should, however, get closer to the theoretical probability as the number of trials rises.
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If 3x − 6 ≤ f(x) ≤ x2 − 3x + 3 for x ≥ 0, find lim x→3 f(x).
Answer:
Step-by-step explanation:
Lilou's Diner has a value of 1.73 million dollars. Mitch's Bed and Breakfast has a value of - 0.29 million dollars. Which one of the following inequalities correctly compares the company values? Choose 1 answer: А -0.29 > 1.73 B 1.73 > -0.29 Which one of the following descriptions is correct? Choose 1 answer: Mitch's Bed and Breakfast has a greater value than Lilou's Diner. B Lilou's Diner has a greater value than Mitch's Bed and Breakfast.
Answer:
B and B
Step-by-step explanation:
Answer:
the correct answer is A
and A
What is the distance between the points(-2, 1) and (1, 3)? Round answer to the nearest tenth.
Answer:
.
Step-by-step explanation:
If each quadrilateral below is a square, find the missing measures. the square STUV, TU=15 Find VU= SU= TV= SW=
Answer:
VU = 15, SU = 21.21 or 15\(\sqrt{2}\), TV = 21.21 or 15\(\sqrt{2}\), and SW = 10.6 or \(\frac{15\sqrt{2} }{2}\).
Step-by-step explanation:
VU = 15 by the properties of a square.
To find SU and TV we need to use the rule: the diagonal for a square of side length s is: (√2)s
Then the diagonals for our square are: TV = SU = (√2)*15 = 21.2
SW is just the diagonal divided by 2, so SW = 10.6
The other answers are in radical form, but you can put either the number or radical version.
Sales commission rate commission
700 7% ?
Step-by-step explanation:
700 × 0.07 (7/100)
= 49$
A spherical gemstone just fits inside a plastic cube with edges 12cm. a) calculate the volume of gemstone, to the nearest cubic centimeter. b) how much empty space is there.
Answer:
a) (V) = 904.78 of a sphere = 288pi diameter = 12
(V) = 1728cm^3 of a cube = face diagonal = 16.9cm
b) Difference Volume = 1728-904.78 = 823.22cm^3
Step-by-step explanation:
To find volume of an inscribed sphere within a square cube
We use 4 π/3 * r^3 for the equation
As Radius = 6 = 6cm this is the only thing plugged into the equation to create a division first then a multiplication square of radius and then a multiplication. 4pi /3 * 6^3
r^3 = 216
4pi/3 = 4.18
4.18 * 216 = 904.78
This means the answer is 288 pi cm^3.
Answer:
volume of gemstone = 905 cm^3
volume of empty space = 823 cm^3
Step-by-step explanation:
volume of cube = s^3, where s = length of edge
volume of sphere = (4/3)(pi)r^3, where r = radius of sphere
The cube has a 12-cm edge. The sphere fits tightly inside the cube, so the diameter, d, of the sphere is 12 cm. The radius is half the diameter, so radius = r = diameter/2 = 12 cm/2 = 6 cm.
a)
volume of sphere = (4/3)(pi)r^3
volume of sphere = (4/3)(3.14159)(6 cm)^3
volume of sphere = 905 cm^3
b)
The empty space is the difference between the volume of the cube and the volume of the sphere.
volume of cube = s^3
volume of cube = (12 cm)^3
volume of cube = 1728 cm^3
empty space = volume of cube - volume of sphere
empty space = 1728 cm^3 - 905 cm^3
empty space = 823 cm^3
Translate the sentence into an equation. Six less than the product of 7 and a number is 5 . Use the variable w for the unknown number.
According to the fundamental theorem of algebra how many zeros does the function f x = -2x4-5x3-x+2 have
The required, given polynomial has exactly 4 roots, which may be real or imaginary or a combination of both.
What is a polynomial function?A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial, and trinomial, etc. ax+b is a polynomial.
Here,
The fundamental theorem of algebra states that every non-constant polynomial with complex coefficients has exactly as many roots (zeros) as its degree. In this case, the degree of the polynomial is 4, so it has exactly 4 complex roots.
However, it is not clear whether any of the roots are real or imaginary, or whether they are all complex. To determine this, we would need to use methods such as the rational root theorem, synthetic division, or the quadratic formula to find the roots of the polynomial.
Without actually finding the roots, we can say that the polynomial has exactly 4 roots, which may be real or imaginary or a combination of both.
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Jane has a pre-paid cell phone with NextFell. She can't remember the exact costs, but her plan has a monthly fee and a charge for each minute of calling time. In June she used 450 minutes and the cost was $139.50. In July she used 870 minutes and the cost was $244.50. A) Express the monthly cost C as a function of x , the number of minutes of calling time she used.
Part A: Timothy said that AKLM was dilated by a scale factor of 1.5 centered at the origin. Is Timothy CORRECT? Explain your answer or show your work.
Yes, Timothy is correct because triangle AKLM was dilated by using a scale factor of 1.5 centered at the origin.
What is dilation?In Mathematics, dilation can be defined as a type of transformation that is typically used for enlarging or reducing the size of a geometric object but not its shape, based on the scale factor.
For the given coordinates of the preimage triangle KLM, the dilation with a scale factor of 1.5 from the origin (0, 0) would be calculated as follows:
Coordinate K (-1, 3) → Coordinate K' (-1 × 1.5, 3 × 1.5) = Coordinate K' (-1.5, 4.5).
Coordinate L (8, 4) → Coordinate L' (8 × 1.5, 4 × 1.5) = Coordinate L' (12, 6).
Coordinate M (10, -3) → Coordinate M' (10 × 1.5, -3 × 1.5) = Coordinate M' (15, -4.5).
In conclusion, the coordinates of the image triangle K'L'M after a dilation with a scale factor of 1.5 from the origin are (-1.5, 4.5), (12, 6), and (15, -4.5) as shown in the graph above, therefore, Timothy is correct.
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if x-y = 8 and xy=5 , find x^2 + y^2
Answer:
x² + y² = 74
Step-by-step explanation:
given
(x - y) = 8 ( square both sides )
(x - y)² = 8² ← expand left side using FOIL
x² - 2xy + y² = 64 ← substitute xy = 5
x² - 2(5) + y² = 64
x² - 10 + y² = 64 ( add 10 to both sides )
x² + y² = 74
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