If a triangle does not have one angle greater than 90°, then it is not an obtuse triangle. Remember that you create a contrapositive by inverting and swapping both terms.
What is the triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental shape in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.
If a triangle lacks one angle greater than 90°, it is not an obtuse triangle. Remember that a contrapositive is formed by inverting and swapping both terms. If you have if A then B, then the contrapositive is if not B then not-A. Because you've been given "If a triangle is obtuse, then
It has one angle with a measure greater than 90°," the converse would be "If a triangle has no angles with a measure greater than 90°, it is not an obtuse triangle." So, check through the options and see what fits in intent, even if it's not phrased precisely the same.
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According to the pattern shown below, what is the number in the blank?
1, 1 ,2,3,7,23 ,164,…
The number pattern is 1, 1 ,2,3,7,23 ,164,3,776
What is the definition of a number pattern?
Number pattern is a pattern or sequence in a series of numbers. This pattern generally establishes a common relationship between all numbers.
1 + 1 = 2 + 0 = 2
3 x 2 = 6 + 1 = 7
7 x 3 = 21 + 2 = 23
23 x 7 = 161 + 3 = 164
164 x 23 = 3772 + 4 = 3776
Therefore, The number pattern is 1, 1 ,2,3,7,23 ,164,3,776
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28 divided 66.29 please
Answer:
28 divided by 66.29 is approximately 0.4223. To find the exact result, you would need to perform long division. The process for doing this is as follows:
Begin by dividing the leftmost digit of the dividend (28 in this case) by the divisor (66.29). In this case, the result is 0 with a remainder of 28.
Bring down the next digit of the dividend (0 in this case), so that the dividend is now 280.
Divide 280 by 66.29. The result is 4 with a remainder of 36.29.
Bring down the next digit of the dividend (0 in this case), so that the dividend is now 36.29.
Divide 36.29 by 66.29. The result is 0.54 with a remainder of 0.29.
Bring down the next digit of the dividend (0 in this case), so that the dividend is now 0.29.
Divide 0.29 by 66.29. The result is 0.004 with a remainder of 0.
The remainder is 0, so the division is complete. The result is 0.004223.
Alternatively, you can use a calculator to perform the division. Just enter "28 / 66.29" and the calculator will give you the result.
Step-by-step explanation:
What is the slope of the line that passes through 4 1 and 2 5?
The slope of the line that passes through (4,1) and (2,5) is -2.The slope of a line can be expressed in many ways, including as a fraction, decimal, or even in terms of the angle of inclination.
The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.The slope of a line is calculated by finding the difference in the y-values (rise) divided by the difference in the x-values (run).
In this case, the rise is 5 - 1 = 4 and the run is 2 - 4 = -2.
Therefore, the slope of the line is 4/-2 = -2.
In the case of a horizontal line, the slope is 0, and in the case of a vertical line, the slope is undefined. The slope is a useful tool in mathematics as it can be used to determine the equation of a line, the rate of change on a graph, or the amount of change for every unit of time. It can also be used to determine the area between two points on a graph. Slope is an essential concept in mathematics and can be used to solve many types of problems.
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why is it important to evaluate non-critical paths that possess large variances or path times that are close to critical in duration?
All the given options are correct.
what is random?
The lack of pattern or predictability in events, whether it be apparent or real, is referred to as randomness. Sometimes there is no order or discernible pattern or combination in a random series of events, symbols, or processes.
a)Random uncertainty present in the network may exhibit cumulative interactions reflecting the inherent randomness of independent activities within the network.
b)An activity having only a relative small amount of slack could potentially exceed the critical time calculated from the expected critical path.
c)As statistical variances rise in relation to expected duration, the range of uncertainty in near-critical paths will exhibit wider dispersion.
Hence all the given options are correct.
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Complete Question
Why is it important to evaluate non-critical paths that possess large variances or path times that are close to critical in duration?
A) Random uncertainty present in the network may exhibit cumulative interactions reflecting the inherent randomness of independent activities within the network.
B) An activity having only a relative small amount of slack could potentially exceed the critical time calculated from the expected critical path.
C) As statistical variances rise in relation to expected duration, the range of uncertainty in near critical paths will exhibit wider dispersion.
D) All of the above.
A middle school took all of its 6th-grade students on a field trip to see a ballet at a theater that has 1500 seats. The students filled 1320 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
The percentage of the seats in the theater that were filled by the 6th graders on the trip is 88%.
What percentage of the seats in the theater were filled by the 6th graders on the trip?Given that the middle school took all of its 6th-grade students on a field trip to see a ballet at a theater that has 1500 seats and the students filled 1320 of the seats in the theater.
The percentage of the seats in the theater were filled by the 6th graders on the trip will be:
= Number of 6th graders / Total students × 100
= 1320 / 1500 × 100
= 88%
The percentage is 88%.
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Jake has a 10 inch stick which he cuts into 3 pieces. The first piece is twice as long as the second. If the three pieces can form a triangle, which of the following could NOT be the length if the third piece?Jake has a 10 inch stick which he cuts into 3 pieces. The first piece is twice as long as the second. If the three pieces can form a triangle, which of the following could NOT be the length if the third piece?
The measures that the third piece cannot assume are given as follows:
z < x - y if x is the greater measure.z > x + y if z is the greater measure.When a set of measurements can represent a triangle?A set of measurements can represent a triangle if the sum of the two smaller measurements is greater than the greater measures.
The sum of the measurements in this problem is given as follows:
x + y + z = 10.
The first piece is twice as long as the second,hence:
x = 2y.
Thus:
3y + z = 10.
The condition needed for a triangle to be formed is given as follows:
y + z > x if x is the greater measure.x + y > z if z is the greater measure.Missing InformationThe options are missing, hence the answer was given in general terms, with the concept used presented.
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what is slope of y=4x-5 and what do you do to find it?
Answer:
4
Step-by-step explanation:
Slope form is:
y=mx+b
4 represents m
m is the slope, or change in y over change in x
Answer:
Using the slope-intercept form, the slope is −4 .
Step-by-step explanation:
The slope-intercept form is y=mx+by=mx+b, where mm is the slope and bb is the y-intercept.y=mx+by=mx+b
Using the slope-intercept form, the slope is −4-4.m=−4
How do I work out this question please help
factorise 3x + 12
Answer: 3(x+4)
Step-by-step explanation:
Let's start with what we know. To factor problems, we just find a common divisor. Here, the common divisor is 3 so:
3(x+4)
How do you solve 3 step equations with fractions?
To solve a linear equation with fractions, more than two procedures are required. To undo each action in reverse order, use inverse operations.
Any number of equal parts is represented by a fraction, which also represents a portion of a whole.
If a mathematical equation contains fractions, divide both sides by the LCD to eliminate the fractions.
Solving a Multi-Step Equation in Steps
Step 1, eliminate the fractional equation.
Step 2: Remove the parentheses from either side using the Distributive Property.
Combining similar phrases on each side in step three.
Step 4: Reverse any additions or subtractions.
Step 5: Reverse division or multiplication.
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a manufacturer is interested to develop a 95% confidence interval for the true mean cycle time of producing their headphones. assuming a margin of error of 1 minute, and standard deviation of 6 minutes from a previous sample, what is the appropriate sample size?
The appropriate sample size for the 95% confidence interval is given as follows:
139.
How to obtain the appropriate sample size?To obtain the appropriate sample size for the confidence interval, we need to look at it's equation for the margin of error, which is defined as follows:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which the parameters are listed as follows:
z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The margin of error and the population standard deviation have the values given as follows:
[tex]M = 1, \sigma = 6[/tex]
Then the sample size is obtained as follows:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]1 = 1.96\frac{6}{\sqrt{n}}[/tex]
[tex]\sqrt{n} = 1.96 \times 6[/tex]
[tex](\sqrt{n})^2 = (1.96 \times 6)^2[/tex]
n = 139 (rounded up, as for a sample size of 138 the margin of error would be slightly above 1).
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how many ways are there to deal a hand of 4 cards if i don't care about the order of cards in my hand?
There are 270725 different ways to select 4 from 52 cards if I don't care about the order of cards in my hand.
Permutation and combination: The process of ordering objects or numbers is known as permutation. Combinations are a method of choosing items or numbers from a collection or group of items so that the order of the items is irrelevant.
Combinations are used to group objects or to determine how many subgroups can be formed from the given collection of objects. Additionally, we use permutations to determine the number of potential combinations of unrelated objects.
For example, if we want to select 2 players from 6. This will be:
= 6! / 2! (6 - 2)!
= 15 ways
In the given question use the combination. We can write as:
[tex]52C_{4}[/tex] = 52!/4! (52-4)!
This expression could be written in the form
[tex]52C_{4}[/tex] = 52!/4! (52-4)!
[tex]52C_{4}[/tex] = 52!/(4! (48)!)
[tex]52C_{4}[/tex] = 52 x 51 x 50 x 49 x 48!/(4 x 3 x 2 x 48!)
As, 48! cancel out. We get,
[tex]52C_{4}[/tex] = 52 x 51 x 50 x 49/24
= 6497400/24 = 270725
Hence, there are 270725 ways.
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Solve this equation: 33 + 7s = -3 ( 2s + 9 )
Answer:
Exact form:
[tex]s = - \frac{60}{13} [/tex]
Decimal form:
[tex]s = - 4.615384[/tex]
Mixed Number Form:
[tex]s = - 4 \frac{8}{13} [/tex]
Complete the inequality. 13/18___ 11/14 < > =
Answer:
Your answer is <, Hope it helps.
Write a fact family for each set of numbers.
1. 2, 5, 10
2. 5, 8, 40
3. 4, 9, 36
4. 6,9, 54
Answer: in every case, the first two number multiplied equal the third number, I don't quit understand if that's the answer you were looking for,
but that's the first thing that occurred to me
what is 30 times 36 i really dont understand it
Answer:
1080
Step-by-step explanation:
Lance has saved $45. He earns $30 dollars every week walking dogs, which he
also saves.
Which function can be used to find t, the amount of money Lance will have
saved at the end of n weeks of walking dogs?
Answer: 30n+45=t
Step-by-step explanation:
consider two hexadecimal numbers: x434f4d50 and x55544552. what values do they represent for each of the five data types shown?
The values they represent for each of the five data types shown are below.
What is hexadecimal numbers?
The base-16 numbering scheme is known as hexadecimal. Consequently, this system uses the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 15. That implies that the two-digit decimal numbers 10, 11, 12, 13, 14, and 15 cannot exist in this numbering system unless they are represented by a single numeral.
For x434F4D50
Unsigned binary - 0000 0100 0011 0100 1111 0100 1101 0101 0000
1's complement - 1111 1011 1100 1011 0000 1011 0010 1010 1111
2's complement 1111 1011 1100 1011 0000 1011 0010 1011 1111
IEEE 754 Floating point - 207.302001953125
ASCII string -COMP
For x55544552
Unsigned integer: 0000 0101 0101 0101 0100 0100 0101 0101 0010
1's complement 1111 1010 1010 1010 1011 1011 1010 1010 1101
2's complement1111 1010 1010 1010 1011 1011 1010 1010 1110
IEEE floating point 1.4587137097728E13
ASCII string: UTER
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Find the area of the surface. The part of the plane x + 2y + 3z = 1 that lies inside the cylinder x2 + y2 = 5.
The surface area of the plane is π√14 sq. units.
It is given in the question that the equation of the plane = x+2y+3z=1 and that of the cylinder
= x² + y² = 5 [1]
Let J be the projection on the plane x+2y+3z=1
We know that the surface area of an equation is
∫∫j √{1+(∂z/∂x)² + (∂z/∂y)²} dA
We know that the plane is inside the cylinder.
By using the coordinates of the cylinder we can get
x = r cosθ and y = rsinθ
Squaring both sides gives us
x² = r²cos²θ
y² = r²sin²θ
Therefore we get,
x² + y² = r²cos²θ + r²sin²θ
= r²(cos²θ + sin²θ)
We know that cos²θ + sin²θ = 1. Hence,
= r² [2]
From equations [1] and equation [2] we get
r² = 5
or, r = √5
Hence,
J = {(r,θ)/ 0 ≤ r ≤ √5, 0 ≤ θ ≤ 2π}
Therefore,
x +2y + 3z =1
or, z = 1/3(1 - x - 2y)
Partially differentiating z with respect to x and with respect to y gives us
∂z/∂x = -1/3
and,
∂z/∂y = -2/3
Therefore,
We already know that Surface Area = ∫∫j √{1+(∂z/∂x)² + (∂z/∂y)²} dA
= ∫∫j √{1+ (-⅓) ² + (-⅔) ²} dA
= ∫∫j √(9+1+4)/√9 dA
= √14 /3∫∫j dA
=√14/2 [2π - 0]
= π√14 sq units
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Select the correct
function
that represents
this data.
A. f(x) = -6x +1
B. f(x) = 6x +1
C. f(x) = -6x - 1
Answer:
Step-by-step explanation:
o find the vertex of f(x)=x2−8x+7 , there are several things you can do. You could complete the square to get the equation into vertex ...
You are working on an air conditioning system. A roll of cylindrical copper tubing has an outside diameter of 78 7 8 inch and an inside diameter of 34 3 4 inch. How much refrigerant can 12 feet of the tubing hold?.
557,568 inch³ of refrigerant can be held by the tubing.
Here we have to find how much a refrigerant can hold.
Data given:
outer diameter (d) = 78inch
outer radius(r) = 39 inch
inner diameter (d') = 34 inch
inner radius (r') = 17inch
Height (h) = 12 feet
= 12 × 12
= 144 inch
the formula to find the volume of the cylinder:
volume= пr²h
So here we get
Refrigerant hold = Volume of the outer cylinder - the volume of the inner cylinder
= πr²h - πr'²h
= πh(r² - r'²)
= π ×144 ( 39² - 17²)
= π × 144 ×56 × 22
= 22/7 × 144 × 56 × 22
= 557,568 inch³
Therefore the refrigerant can hold 557,568 inch³.
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what is the best approximation for the area of this circle? use 3.14 to approximate pi.
The best approximation for the area of the circle is 201.0in³
What is an area?The size of a region on a planar or curved surface is expressed mathematically as area. The term "surface area" refers to the area of an open surface or the perimeter of a three-dimensional object, whereas "plane area" refers to the area of a shape or planar lamina. Area can be thought of as the amount of a certain thickness of material required to construct a model of the shape. For the areas of basic forms like circles, triangles, and rectangles, there are a number of well-known formulas. Any polygon can be divided into triangles to get its area using these formulas. Calculus is commonly needed to calculate the area of forms having curved boundaries. Calculus' historical growth was in large part driven by the issue of figuring out the area of plane figures.
It is possible to calculate a shape's area.
As we already know that,
The area of a circle=πr²
Here, r=8in
π=3.14
Then,
A=(3.14)(8²)
A=201.0in²
Therefore, Area=201.0in²
Hence, the best approximation for the area of the circle is 201.0in³
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The complete question is:
"What is the best approximation for the area of this circle? Use 3.14 to approximate pi. 25.1 in² 50.2 in² 201.0 in² 803.8 in² Circle with radius labeled 8 in."
I need help please! I’m struggling
Answer:
24
Step-by-step explanation:
Clara builds 3 parts of the fence per hour--
if she works for 8 hours-- we know she built 3 fences each hour-- you would multiply,
8(hours) x 3 (fences) = 24
we know this is right because 3 parts are built for every hour
(3+3+3+3+3+3+3+3 = 24)
she worked for 8 hours and built 3 parts of the fence every hour
in total, she built 24 parts of the fence.
Show me how to do Literal Equations
Solve for X
360=2x+y
Answer:
[tex]x = 180 - \frac{y}{2}[/tex]
Step-by-step explanation:
Our goal here is to isolate [tex]x[/tex] on one side of the equals sign
[tex]360 = 2x + y[/tex]
Here we have 2 terms on the right side of the equals sign, [tex]2x[/tex] and [tex]y[/tex]
in order isolate the [tex]x[/tex] term we must subtract [tex]y[/tex]
However, if we subtract [tex]y[/tex] from one side of the equation we must also do the same to the other side to a maintain balanced equation.
[tex]360 = 2x + y[/tex]
[tex]-y[/tex] [tex]-y[/tex]
[tex]360 - y = 2x[/tex]
Now to remove "2" from [tex]2x[/tex] we must do the opposite of multiplication, which is division.
[tex]\frac{360}{2} - \frac{y}{2} = \frac{2x}{2}[/tex]
simplify.
[tex]180 - \frac{y}{2} = x[/tex]
Latanya has $1.90 worth of nickels and dimes. She has a total of 24 nickels and dimes altogether. Determine the number of nickels and the number of dimes that Latanya has.
Answer:
10 nickels and 14 dimes
Step-by-step explanation:
Ariel has a plastic ice cream cone in her food playset. The ice cream cone is a half-sphere sitting on top of a cone. What is the approximate volume of the toy ice cream cone?.
Volume of ice cream Cone = 753.6[tex]cm^{3}[/tex]
What is Volume ?A three-dimensional space's occupied volume is measured. It is typically quantified using a variety of imperial or US-standard units as well as SI-derived units. The definition of length and volume are connected.
According to the given information
Volume of toy ice cream Cone = Volume of Cone + Volume of Hemisphere
We are given that
Radius of cone = Radius of hemisphere = 6 cm
Height of cone = 8 cm
So
Volume of Sphere = [tex]\frac{1}{2}[/tex] × [tex]\frac{4\pi r^{3} }{3}[/tex]
= 1/2 × 4/3 × 3.14 × [tex]6^{3}[/tex]
Volume of sphere = 452.16 [tex]cm^{3}[/tex]
Volume of Cone = [tex]\frac{\pi r^{2}h }{3}[/tex]
= 1/3 × 36 ×3.14 ×8
= 301.44 [tex]cm^{3}[/tex]
So
The Volume of ice cream cone = 452.16 [tex]cm^{3}[/tex] + 301.44 [tex]cm^{3}[/tex]
= 753.6[tex]cm^{3}[/tex]
Volume of ice cream Cone = 753.6[tex]cm^{3}[/tex]
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How do i solve for DG?
Answer:
25.9
Step-by-step explanation:
Tangents drawn from a common external point are equal.
[tex]10x-31=2x+17 \\ \\ 8x-31=17 \\ \\ 8x=48 \\ \\ x=6 \\ \\ \implies GE=29 \\ \\ DG=\sqrt{29^2-13^2} \approx 25.9[/tex]
What is meant by 150 kilometers per hour?
The 150 kilometres per hour is the rate or speed of object.
The kilometres is indicative of distance and hour is indicative of time. So the fraction of kilometre and hour indicates the speed or rate of object. The rate or speed find wide applicability in calculations and can be indicative of multiple things.
For instance, the distance covered in an hour can signify the rate of descendence of bucket in the well, landing or flying of airplane, and other things. The same thing can also indicate speed in terms of distance travelled by any object like car, bus, airplane, protons, neutrons, atoms, gas molecules in an hour.
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(2,3), slope =3 Using the equation y=Mx + b
The required equation of the line is given as y =3x - 3.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
here,
As given in the question that, the line is passing through the point (2,3), and the slope line is 3, the equation of the line is to be determined.
The standard equation of the line is given as
y=Mx + b
Substitute values of point and slope in the above equation,
3 = 2×3 + b
b = -3
Put this b and M in the standard given equation,
y= 3x - 3
Thus, the required equation of the line is given as y =3x - 3.
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If a voltage of 0.5 V (volts) is driving a current of 0.03 A (amps) through a resistor, what is the resistance to the resistor, measured in ohms? Round to the nearest hundredths.
Answer:
To find the resistance of a resistor, you can use the formula R = V / I, where R is the resistance in ohms, V is the voltage in volts, and I is the current in amperes. Using the values provided, we can calculate the resistance as follows:
R = 0.5 V / 0.03 A = 16.67 ohms
Rounded to the nearest hundredths, the resistance is 16.67 ohms.
the letters of the word better appear on a child's blocks, one letter per block. the child arbitrarily selects two of the blocks. find the probability that the child selects an e followed by b. (enter your probability as a fraction.)
the probability as a fraction will be 3/12.
What is a fraction?
If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.
Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.
the letters of the word better appear on a child's blocks, one letter per block. the child arbitrarily selects two of the blocks.
PE followed R When 2blocks selected) - 5 = Bois obtaining R from the remaining 3 people selected 12 men & 10
Hence the probability as a fraction will be 3/12.
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