By using the triangular inequality, we will get the possible lengths:
a) 6km < x < 16km
b) 0mi < x < 24mi
c) 15yd < x < 30yd
How to estimate the lengths of the possible third side?If A, C, and D are the lengths of the sides of a triangle, then the triangular inequality says that:
A + C > D
A + D > C
C + D > a
Now, if the two sides are 5km and 11 km, and the other side is x, then we can write:
x + 5km > 11km
x + 11km > 5km
11 km + 5 km > x
From these inequalities we can get:
16km > x
x > 11km - 5km
x > 6km
Then the possible lengths of the third side are:
6km < x < 16km
b) Now the sides are 12 mi and 12mi, then the inequalities are:
x + 12mi > 12mi
12mi + 12mi > x
The first one gives:
x > 0mi
The second:
24mi > x
The possible lenghts are 0mi < x < 24mi
c) 25 yd and 10 yd
Here we will get:
25yd + 10yd > x ----- > 30yd > x
x + 10 yd > 25yd -------> x > 15yd
The possible lengths are:
15yd < x < 30yd
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HELPPPPPP PLEASEeeeeeeeeeeeeee
Answer:
-1, 0, 4
Step-by-step explanation:
2f - 8 ≤ 6f + 4
-4f ≤ 12
f ≥ 12/-4 **flip the inequality when you divide by a negative number
f≥ -3
Check all the answers that are ≥ -3
What are the Miller indices for the plane shown in the following cubic unit cell and Explain why? O (201) O (10 1/2) O (1 infinity 1/2) O (102)
The plane intercepts on the x,y, z axes are 1, ∞, and 1/2. Hence, the Miller indices for the plane inside the cubic unit cell is (102).
Miller indices are used to specify planes and directions. These planes and directions could be in lattices or crystals. The number of indices will correspond to the size of the lattice or crystal.
Steps to find the Miller indices:Determine intercepts of the planes with the x, y, and z axes.Use fractional coordinates to specify intercepts.Take the reciprocals of the fractional interceptsIn the given graph, the plane intercepts are:
x-intercept : 1
y-intercept : ∞ (since the planes does not intercept y-axes)
z-intercept = 1/2
Take the reciprocal:
1/1 = 1
1/∞ = 0
1/(1/2) = 2
Hence, the miller indices are (102)
The graph in your question is missing. Most likely it was like on the attached picture.
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4. The table gives the height and shoe sizes of six randomly selected men.
Height 67 70 73. 5 75 78 66
Shoe size 8. 5 9. 5 11 12 13 8 CO
a. What is the equation of line of best fit: 4= 42x-19. 81
b. What is the slope, and what does it mean in this problem?
C. What is the y intercept? What does it mean in this problem?
d. Using the equation of the line of best fit, if a man has a shoe size of 10. 5, what would be his predicted height?
The predicted height if the man with shoe-size 10 is 427.09 cm.
We get the answers using the following steps.
a. The equation of the line of best fit is: y = 42x - 19.81
b. The slope, 42, represents the rate of change of the height variable with respect to the shoe size variable. It means that for every 1-unit increase in shoe size, we can expect a 42-unit increase in height.
c. The y-intercept, -19.81, is the point where the line of best fit crosses the y-axis. It represents the height when the shoe size is 0. It means that if a man has 0 shoe size, his height would be -19.81, both of which is impossible.
d. To predict the height of a man with a shoe size of 10.5, we substitute x = 10.5 into the equation of the line of best fit:
y = 42x - 19.81
y = 42(10.5) - 19.81
y = 447.9 - 19.81
y = 427.09
So, a man with a shoe size of 10.5 would have a predicted height of 427.09 cm
It's worth noting that this is just a predicted value and it might not be accurate. The line of best fit is calculated based on the given data set, it might not be accurate for other data points.
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What does 8 mean in math?
The number 8 (eight) is represented by a number and numeral.
It is the natural number that follows seven and precedes nine. Given that it is an integer and a cardinal number, it can be counted. It is distinguished from imaginary numbers by being categorised as a real number.
Eight is a composite number, and its proper divisors are 1, 2, and 4. Eight can be written as 23, which when said aloud sounds like two cubed. It has a 7 aliquot total. All powers of two add up to an aliquot that is one less than their own.
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What do you call two angles whose measures have a sum of 180?
Answer:
supplementary angles
Step-by-step explanation:
for instance, 50 + 130 = 180.
Put 38200 in standard Form
Answer: Thirty-eight thousand two hundred.
Step-by-step explanation: You'd get Thirty-eight thousand two hundred because the standard form is writing out the number using letters. So, we should break this down:
38,000 + 200 is a good strategy to divide big numbers.
So, 38,000 = Thirty-eight thousand
And 200 = two hundred
So, combine it and you get Thirty-eight thousand two hundred or Thirty-eight thousand and two hundred. (it's the same thing)
Plot the data in a scatter plot
A scatter plot which represents relationship between the time (in hours) and height (in meters) has been plotted in the image attached below.
How to construct and plot the data in a scatter plot?In this scenario, the time (in hours) would be plotted on the x-axis (x-coordinate) of the scatter plot while the height (in meters) would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.
From the scatter plot (see attachment) which models the relationship between the time (in hours) and height (in meters), a linear equation for the line of best fit is given by
y = -0.29x + 0.52
In conclusion, we can reasonably infer and logically deduce that the scatter plot indicates an inverse relationship between the time (in hours) and height (in meters).
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Angle AOB is a central angle with a measure of 110 degrees.
What is the measure of its arc AB?
The measure of the ACB arc is 250° when in the picture we have a circle with an angle AOB is a central angle with a measure of 110°.
Given that,
In the picture we have a circle with an angle AOB is a central angle with a measure of 110°.
We have to find the measure of the ACB arc.
We know that,
Suppose that AB is the minor arc that is m(arc AB) = 110°
We know that measure of the major arc is 360°- measure of minor arc.
m(arc ACB)= 360- m(arc AB)
m(arc ACB)= 360-110
m(arc ACB)= 250°
Therefore, The measure of the ACB arc is 250° when in the picture we have a circle with an angle AOB is a central angle with a measure of 110°.
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Use the figure to answer the following.
The solution of given triangle is 32°.
An isosceles triangle is what?Therefore, an isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and skelos are the source of the name (leg). An equilateral triangle is one in which all of its sides are equal, and a scalene triangle is one in which none of its sides are equal.
Given,
∠BAC=52°
since, ΔBAC is isosceles triangle hence opposite angle will be equal.
∠BAC+∠ABC+∠ACB=180°
2∠BCA=180°-52°
∠BCA=128/2
∠BCA=64°
also,
∠BCA+∠DCA=180°
∠ACD=180°-64°
∠ACD=116°
since,
ΔACD is isosceles triangle, hence opposite angle is equal
∠ACD+∠CAD∠ADC=180°
2∠CAD=180°-116°
∠CAD=64/2
∠CAD=32°
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The table below shows information about how many fans there were at two
football matches in a local tournament.
What is the difference between the number of away fans at the semi-final and at
the final?
Semi-final
Final
Total number of fans
250
400
Ratio of home fans
to away fans
6:4
7:3
Therefore , the solution of the given problem of ratio is Because of this, at a 95% confidence level, (a,b) = ($65.57, $74.43).
What is ratio?A ratio or fraction in math displays how many times one number is contained in another. For instance, the proportion of oranges to lemons in a bowl of fruit is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3 or decimal 1.333).
Here,
Confidence intervals are defined as a range of values with a known chance that a parameter's value falls inside them.
A statistical data's confidence interval can be expressed as.
=> x+/-zr/√n
=> Knowing that;
Average Sample x = $70.00
$17.50 is the standard deviation.
n = 60 samples were used.
95% confidence interval
95% confidence interval for z = 1.96
substituting our current values;
$70.00+/-1.96($17.50/√60)
$70.00+/-1.96($2.259240285287)
$70.00+/-$4.428110959163
$70.00+/-$4.43
= ( $65.57, $74.43)
Therefore , the solution of the given problem of ratio is Because of this, at a 95% confidence level, (a,b) = ($65.57, $74.43).
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y = -5x + 50 and y= 5x + 10
( Pls find the x for the frist question) And the Y for the secound equation
Pls Answer for 100 brainlist
The values of x and y in the Simultaneous equation are 4 and 30 respectively
What are Simultaneous equations?Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 and 4x − 4y = 4.
y = -5x + 50 equation 1
y = 5x+ 10 equation 2
subtract equation 1 from 2
5x-(-5x) +10-50 = 0
10x -40 = 0
10x = 40
x = 40/10
x = 4
substitute 4 for x in equation 2
y = 5(4)+10
y = 20+10
y = 30
Therefore the value of x and y are 4 and 30 respectively
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A sequence begins with 2. Each term is calculated by multiplying the previous term by −1, then subtracting 3.
Which answer correctly represents the sequence described?
a) {2,−5,2,−5,…}
b) 2,−5,2,−5,…
c) 0,−3,0,−3,…
d) {0,−3,0,−3,…}
The sequence is going to be {2,−5,2,−5,…}. Since we can see that options A and B are one and the same, the correct answer is options A and B.
A sequence is a successive arrangement of two or more things that are constructed on the basis of a given formula.
Here, the first term is = 2
Each previous term has been multiplied by = -1
And then, it has been subtracted by = 3
So, following the formula given, we conclude that the second value will be = 2×(-1)-3 = -5
Similarly, the formula is going to be applied to the second term now which is -5, and then the third term is going to be = -5×(-1)-3 = 2
In this fashion, we can make the sequence. Options A and B is the correct answer.
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What are the 3 triangles called?
The types of 3 triangles are called-
equilateral,isosceles, andscalene.Explain the classification of the 3 triangles?Scalene triangle:
The scalene triangle has sides that are all measured differently.In such a triangle, no side will be the same length as any other side.Every interior angle in a scalene triangle is also unique.Isosceles triangle:
The lengths for two of the sides in such an isosceles triangle are equal.The angles that are opposite their equal sides are therefore equal.An isosceles triangle, in other words, has two equal sides with two equal angles.Equilateral triangle:
Each side of an equilateral triangle has an equal length.Each internal angle in this scenario will be 60 degrees in length.An equilateral triangle is often referred as an equiangular triangle since its angles are equal.To know more about the classification of the 3 triangles, here
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A scale drawing has a scale of 0.5 in =10 ft find the length
Answer: To find the length of an object in a scale drawing, you need to use the scale to convert the length on the drawing (measured in inches) to the actual length (measured in feet).
The scale of the drawing is given as 0.5 inches = 10 feet, which means that 1 inch on the drawing represents 10 feet in reality.
So, if the length of the object on the scale drawing is L inches, then the actual length of the object in feet would be:
Length (ft) = (Length (in) * 10 ft/0.5 in) = (L*20)
To find the actual length of the object in feet, you need to know the length of the object in inches from the scale drawing.
Once you have that measurement, you could then simply multiply it by 20.
Step-by-step explanation:
A farmer sells 8. 5 kilograms of apples and pears at the farmer's market. 3/4 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market? Express your answer in fraction and decimal form. Solve on paper. Then check your work on Zearn. The farmer sold kg or kg of pears
In fraction form, this is 6.375/8.5, or 3/4.In decimal form, this is 0.75.
What is fraction?Fraction is a mathematical expression which represents a part of a whole. It consists of a numerator and a denominator which are separated by a fraction bar. The numerator is the number of parts and the denominator is the total number of parts in the whole. Fractions can be used to represent parts of a whole number or parts of a physical object. Fractions can also be used to express ratios or rates.
To solve on paper, we can use the following equation:
Pears = 8.5 kg - (3/4 x 8.5 kg)
Pears = 8.5 kg - (6.375 kg)
Pears = 2.125 kg
Therefore, the farmer sold 2.125 kg of pears at the farmer's market in fraction form, and 0.75 in decimal form.
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What are the 11 identities?
Trigonometric identities are categorized as various identities out of which 11 are ,
Sin θ = 1/Coc θCos θ = 1/Sec θ Tan θ = 1/Cot θTan θ = Sin θ/Cos θCot θ = Cos θ/Sin θSin (90 – θ) = Cos θCos (90 – θ) = Sin θTan (90 – θ) = Cot θCot ( 90 – θ) = Tan θSec (90 – θ) = Cos θCos (90 – θ) = Sec θSin (-θ) = – Sin θTrigonometric Identities are used when trigonometric functions are given in an expression. Geometrically, these identities include one or more trigonometric functions
These are the sine , cosine or the tangent functions.
There are numerous trigonometric identities relating the side length and angle of a triangle. Only the right-angle triangle has the trigonometric identities.
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Please help me plssss
Explanation
Check the picture below.
Solve x=[tex]\sqrt{x} b^2-4ac\frac{x}{y} 2a[/tex]
The solutions to the quadratic function y = x² + 4x + 3, using the quadratic formula, are given as follows:
x = -1 and x = -3.
How to solve a quadratic function?The standard definition of a quadratic function is given as follows:
y = ax² + bx + c.
In which the leading coefficient a must assume a value different of zero.
The solutions to the quadratic function ax² + bx + c = 0 are obtained using the quadratic formula, as follows:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
The quadratic function for this problem is defined as follows:
x² + 4x + 3 = 0.
Hence the coefficients are:
a = 1, b = 4, c = 3.
The first solution is:
[tex]x = \frac{-4 - \sqrt{4^2 - 4(1)(3)}}{2} = -3[/tex]
The second solution is:
[tex]x = \frac{-4 + \sqrt{4^2 - 4(1)(3)}}{2} = -1[/tex]
Missing InformationThis problem was incomplete, hence the quadratic formula is used to solve y = x² + 4x + 3, as an example.
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How many triangles are there in the following figure 18 17 16 15?
There are 15 triangles in the given figure. Each of the four shapes in the figure can be divided into four triangles.
The figure contains four triangles, each with three sides. To calculate the total number of triangles in the figure, we can multiply the number of sides of each triangle by the number of triangles. Therefore, the total number of triangles in the figure is 3 x 4 = 12.
However, the figure also contains two additional triangles that are formed when three of the triangles intersect. To calculate the total number of triangles, we must add the two additional triangles to the 12 triangles we calculated earlier. Thus, the total number of triangles in the figure is 12 + 2 = 14.
Since the figure also has three more sides, it can be divided into one more triangle. Therefore, the total number of triangles in the figure is 14 + 1 = 15.
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What is the slope of the line? (30 points)
Answer:
Slope = -1 or (-1/1)
Step-by-step explanation:
slope = m
Point 1: (0, 2); Point 2: (2, 0)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 0 - 2 -2
m = ----------- = ---------- = ------- = -1 or (-1/1)
x₂ - x₁ 2 - 0 2
I hope this helps!
when journalizing an accounts payable account what account is debited
a. accounts payable
b. it depends on the transaction
c. cash
d. accounts receivable
The sunshine rental company rents cars for $17 per day plus $0. 50 per mile driven. The rent me company rents cars for $20 per day plus $0. 36 per mile driven. When will the two companies be equal in cost?
The two companies will be equal in cost when 21.428 miles are driven.
How do you calculate the cost of rent?
The weekly rental amount is divided by 7 to determine the daily rental rate, then multiplied by 365 (days per year) to determine the yearly rate, and finally divided by 12 to determine the monthly rental amount. For example, a property is advertised as $200 per week, ($200 divided by 7) is $28.57 for the daily rate.
We can set up an equation to represent the cost of renting a car from each company in terms of the number of miles driven, and then solve for the number of miles at which the cost is the same for both companies.
Let x be the number of miles driven.
The cost of renting from Sunshine Rental Company is given by:
Cost1 = 17 + 0.5x
The cost of renting from Rent Me company is given by:
Cost2 = 20 + 0.36x
We can set the two equations equal to each other, and solve for x:
17 + 0.5x = 20 + 0.36x
0.14x = 3
x = 21.428 miles
Hence, the two companies will be equal in cost when 21.428 miles are driven.
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Can someone show me step by step what to do next please I’m confused?!!! Please anyone
Answer:
You need to combine like terms
Express 1/2 loga16 + 1/3loga27 as logab
Answer:
[tex]log_{a}[/tex] 12
Step-by-step explanation:
using the properties of logarithms
• nlog x ⇔ log[tex]x^{n}[/tex]
• log x + log y = log (xy)
[tex]\frac{1}{2}[/tex] [tex]log_{a}[/tex] 16 + [tex]\frac{1}{3}[/tex] [tex]log_{a}[/tex] 27
= [tex]log_{a}[/tex] [tex]16^{\frac{1}{2} }[/tex] + [tex]log_{a}[/tex] [tex]27^{\frac{1}{3} }[/tex]
= [tex]log_{a}[/tex] [tex]\sqrt{16}[/tex] + [tex]log_{a}[/tex] [tex]\sqrt[3]{27}[/tex]
= [tex]log_{a[/tex] 4 + [tex]log_{a}[/tex] 3
= [tex]log_{a}[/tex] (4 × 3)
= [tex]log_{a}[/tex] 12
y=-2x + 11 and y= 4x + 2
(Answer for 100 brainlist!!)
Just solve the x value for the frist equation and the y value for the secound equation
x=-1.5
y=8
the answer is in the picture below
Find the measure of angle A.
110°
O 80°
O 105°
O 30°
O100°
14 + 6x
A
3x-3
Answer:
[tex]80^{\circ}[/tex]
Step-by-step explanation:
The interior angles of the triangle are [tex]70^{\circ}, (14+6x)^{\circ}[/tex], and [tex](3x-3)^{\circ}[/tex].
Angles in a triangle add to [tex]180^{\circ}[/tex].
[tex]70+14+6x+3x-3=180 \\ \\ 81+9x=180 \\ \\ 9x=99 \\ \\ x=11[/tex]
So, [tex]m\angle A=14+6(11)=80^{\circ}[/tex].
What does B mean in texting to a girl?
B typically stands for "Be" in texting. Depending on the context, it could mean different things. For example, it could mean "Be mine" or "Be mine forever" when expressing affection for a girl. It could also mean "Be safe" when wishing someone well.
1. B is a commonly used acronym in texting.
2. It typically stands for the word "Be".
3. Depending on the context, it could mean different things such as expressing affection for a girl or wishing someone well.
B is an acronym commonly used in texting that typically stands for the word "Be" and can have different meanings depending on the context.
B typically stands for "Be" in texting. Depending on the context, it could mean different things. For example, it could mean "Be mine" or "Be mine forever" when expressing affection for a girl. It could also mean "Be safe" when wishing someone well.
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Consider the triangle to the right. a. Write an equation that can be used to find the value of y b. What is mZK? a. Write the equation below. (Do not simplify. Do not combine like terms.) K L (5y - 19)˚. M COLELER
The value of y is 15 and angle is 68°
What is a triangle?A triangle is a polygon with three edges and three vertices.
Given that, a triangle KLM
We have, KL = MK
We know that, In a triangle, sides opposite to equal angles are equal, therefore,
∠ M ≅ ∠ L
5y-19 = 56
5y = 75
y = 15
We know, Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
∠ M + ∠ L + ∠ K = 180°
56° + 56° + ∠ K = 180°
∠ K = 180° - 112°
∠ K = 68°
Hence, the answers are; ∠ K = 68° and y = 15
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Triangle ABC was translated to form A’B’C’. Which describes the transformation? Check all that apply
Translation is a rigid transformation. As such, it preserves sizes and angles. Isometric is an alternative way to say the size is preserved. Hence; B, C and E are the correct choices.
What is a triangle?A triangle is a three-sided polygon. A closed shape consisting of three straight lines and three corners. The sum of the three angles of a triangle is always 180 degrees. Triangles come in a variety of shapes and sizes and can be classified according to their angles and sides. The most common type of triangle is the right triangle, which has 90 degree angles.
Translation is the transformation that happens when we move the image without changing anything in it. Therefore, the shape, size, and orientation remain the same.
In this case the triangle ABC has been transformed to A'B'C'. This means that the triangle has been moved in one direction to form a new triangle A'B'C' without changing its size or orientation. This is an example of translation transformation.
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The complete question is follows:
Triangle ABC was translated to form A’B’C’. Which describes the transformation? Check all that apply
A. It is non rigid
B. The size is preserved
C. It is rigid
D. The angles are not preserved
E. It is isometric
Solve the equation −14 - 1 4 (x – 26) = –200 for x.
Hello there!
Answer:
x = 39 2/7
Step-by-step explanation:
-14 - 14(x - 26) = -200
- 14 + 14 - 14(x - 26) = -200 + 14
-14(x - 26) = -186
-14(x - 26)/(-14) = -186/(-14)
x - 26 = 93/7
x - 26 + 26 = 93/7 + 26
x = 275/7
x = 39 2/7