We have proved that the West Texas Triangle formed is an isosceles triangle.
The approximate coordinates of three locations is given.
We have to prove that the West Texas Triangle is an isosceles triangle.
What is a triangle ?
A triangle is a 3-sided shape. There are three sides and three angles in every triangle, some of which may be the same.
As per the question ;
The West Texas Triangle is an isosceles triangle.
1st location has coordinates (31.9°N , 102.3°W)
2nd location has coordinates (32.7°N , 99.3°W)
3rd location has coordinates (31.4°N , 100.5°W)
Let's represent 1st location as A , 2nd location as B and 3rd as C.
Let's check it.
Using the distance formula ;
AB = √ [ (32.7 - 31.9) ² + (102.3 - 99.3)²]
AB = √ (0.8² + 3²)
AB = √9.64
AB = 3.10
Similarly ;
BC = √ (1.3² + 1.2²)
BC = √3.13
BC = 1.8
And
AC = √(0.5² + 1.8²)
AC = 1.8
The two sides are of equal length , so , we can conclude that this is an isosceles triangle.
Thus , the West Texas Triangle formed is an isosceles triangle.
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Find the volume of a cube with a side of 6 cm. It has a mass of 457 g. Find its density and label with correct units.
Answer: 8.1 g/cm
Step-by-step explanation:
Density is equal to mass divided by volume. You are given a mass of
64.7
grams. You can find the volume of the cube by doing height multiplied by width multiplied by the depth.
Because all of the sides of a cube are the same length, the volume just ends up being
(2 cm) = 8 cm
Now plug both of those numbers into your density equation
p= m/v = 64.7 g/8 cm = 8.1 g/cm
~Hope this helps ;0~
Answer:
[tex]2.11 \: \: gram \: per \: cm {}^{3}[/tex]
The density is 2.11 g/cm^3
Step-by-step explanation:
Density is the ratio of the mass of a body per volume. To find density we need mass and volume.
side given (l) =6 cm
Volume of the cube = l^3
= 6^3
= 6 * 6 * 6
= 216 cm^3
we have mass = 457 g
Now,
density= mass/volume
= 457/216
=2.11
Soo, the density is 2.11 g/cm^3
0.02 as a fraction is Simplist form step by step pleasee
Answer:
0.02 = 2/100 = 1/50 (simplified answer)
Hope this helps :)
Explanation below.
Step-by-step explanation:
1. The 2 ends in the hundredths place, so we place that over 100.
0.02 = 2/100
2. 2/100 can be simplified with the Greatest Common Factor of 2 and 100 which is 2. So divide 2 on the numerator and denominator.
2/100 = 1/50
Write each logarithmic expression as a single logarithm. log₅ x - 1/5 log₅ y
By using logarithim quotient rule the given lograthimic expression log₅ x - 1/5 log₅ y can be written as log₅ (x/y^(1/5)).
According to the given question.
We have lograthimic expression.
log₅ x - 1/5 log₅ y
As we know that, a logarithmic expression is an expression that involves the logarithm of an expression containing a variable.
Also according to the logratimic quotient rule we know that
[tex]log_{b} (\frac{m}{n} ) = logm - logn[/tex]
Thereofore,by using logarithim quotient rule the given lograthimic expression log₅ x - 1/5 log₅ y can be written as
log₅ x - 1/5 log₅ y
= log₅ x - log₅ (y^(1/5))
= log₅ (x/y^(1/5))
Hence, by using logarithim quotient rule the given lograthimic expression log₅ x - 1/5 log₅ y can be written as log₅ (x/y^(1/5)).
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11 divided by 1925 can you show the work
Answer: 175
Step-by-step explanation:
Mrs rushdan buys 16 bananas and 35 apples what is the ratios for total bananas
Answer: 16:35 16 bannas to 35 apples
Step-by-step explanation:
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I need help ASAP
Last question needed
Using it's concept, the domain of function m is given as follows:
-∞ < x < ∞.
What is the domain of a function?The domain of a function is the set that contains all the values of the input. In a graph, it is the set that contains all values of x of function.
In this problem, the function is defined for all real values of x, as it keeps increasing to left and right, hence the domain of function m is given as follows:
-∞ < x < ∞.
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One section of a football stadium has 10 seats in the front row, row A. Each of the rows behind row A has 6 more seats than the row immediately in front of it. What is the total number of seats in rows A-E of the stadium?
Answer:
Step-by-step explanation:
has 25 sections of seating
how do you write out 7 multiplied by the difference between v and 5 gives 14.
15 points
7
how would you answer this question?
Answer:
n = 8
Step-by-step explanation:
any term in a Fibonnacci sequence is found by adding the previous 2 terms.
that is x₃ = x₁ + x₂
using this to continue the sequence
1, 1, 2, 3, 5, 8, 13, 21, 34, 55 with a₁₀ = 55
so
x₈ + x₉ = x₁₀
compare to [tex]x_{n}[/tex] + [tex]x_{n+1}[/tex] = 55
with n = 8
In Δ S Z U, U J=9, V I=3 , and Z T=18 . Find the length.
SV
In Δ SZU, UJ = 9, VI = 3 , and ZT = 18 then the value of SV = 9.
What is meant by centroid theorem?The triangle's centroid is the point where the three medians intersect. According to the centroid theorem, the centroid is 23 times the distance from each vertex to the midpoint of the opposite side.
The centroid has the unique property that the distance from a vertex to the centroid is twice that of the distance from the centroid to the midpoint of the side opposite that vertex for each median. In addition, the three medians of a triangle divide the triangle into six equal-area regions.
Given: In Δ SZU, UJ = 9, VI = 3 , and ZT = 18 .
Since ZV ≅ VU, Y is the midpoint of UZ and SV is a median of Δ ZSU. Similarly, points Y and T are also midpoints of SZ and SU, respectively, so YU and ZT are also medians. Therefore, point J is the centroid of
Δ ZSU and, according to the Centroid Theorem, SJ is 2/3 of SV.
SJ = 2/3 (SV)
= 2/3 (SJ + VJ)
simplifying the above equation, we get
(3SJ/2) - SJ = VJ
SJ/2 = 3
SJ = 4.5
Therefore, to find SV, we can now add SJ and VJ
SV = SJ + VJ
= 6 + 3
= 9
Therefore, the value of SV = 9.
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For a school project, Samuel cuts 4/7 -inch discs of metal. How many discs can he make from a metal post that measures 1/3 foot in length
7 discs can he make from a metal post that measures 1/3 foot in length.
Using a tool with disks rather than teeth or shovels to cultivate or harrow the ground.
Samuel needs to make a 4/7-inch disc out of a foot is 4 inches
A metal post =1/3foot×(12 inch/1 foot)
= 12/3
=4
Samuel needs to make a 4/7inch disc out of1/3foot metal post.
One third of a foot is 4 inches
⇒4÷4/7
⇒ Is the same thing as
⇒4×7/4
The 4 cancel out so that’s how you get 7
⇒ 7
A moldboard or plow shovel that is occasionally used in place of a round, thin steel plate that is typically dished.
Therefore, Samuel cuts 4/7 discs of metal can be he make from a metal post that measure 1/3 foot in length is 7 discs.
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7 discs can he make from a metal post that measures 1/3 foot in length.
Using a tool with disks rather than teeth or shovels to cultivate or harrow the ground.
Samuel needs to make a 4/7-inch disc out of a foot is 4 inches
A metal post =1/3foot×(12 inch/1 foot)
= 12/3
=4
Samuel needs to make a 4/7inch disc out of1/3foot metal post.
One third of a foot is 4 inches
⇒4÷4/7
⇒ Is the same thing as
⇒4×7/4
The 4 cancel out so that’s how you get 7
⇒ 7
A moldboard or plow shovel that is occasionally used in place of a round, thin steel plate that is typically dished.
Therefore, Samuel cuts 4/7 discs of metal can be he make from a metal post that measure 1/3 foot in length is 7 discs.
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Answer to -2h^2-5h+h^2+4+3h if h=-6
-20
step by step explanation :
[tex] - 2( { - 6})^{2} - 5( - 6) + ( { - 6})^{2} + 4 + 3( - 6)[/tex]
[tex] - 72 + 30 + 36 + 4 - 18 = - 20[/tex]
Determine whether the statement is always, sometimes, or never true. Explain your reasoning.
The geometric mean for two positive integers is another integer.
The statement is sometimes true.
The given statement is ' The geometric mean for two positive integers is another integer.'
Geometric mean of two integers is the square root of their product.
If a and b are two integers, then geometric mean = [tex]\sqrt{ab}[/tex]
Its value need not be an integer always. In some cases the statement fails.
For example, let a = 3 and b = 6
Then geometric mean = [tex]\sqrt{3 \times 6} = \sqrt{18}[/tex] = 4.24, which is not an integer.
Now if a and b are equal numbers, we will get an integer as the geometric mean. Because then their product will be a perfect square and taking square root, we get the same number as the geometric mean.
Also consider a = 9 and b = 4
Then their geometric mean = [tex]\sqrt{36}[/tex] = 6
So sometimes the statement is true but not always.
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Determine whether the following are mutually exclusive. Explain.
choosing a triangle that is equilateral and a triangle that is equiangular
Not mutually exclusive. If a triangle is equilateral, it is also equiangular.
Which of these triangles has equal sides?
An equilateral triangle, which is frequently referred to as a "regular" triangle, is a triangle with three equal-length sides. Because all three sides of an isosceles triangle are equal, an equilateral triangle is a particular case of an isosceles triangle. There are three equal sides to an equilateral triangle.Any two sides that are equal have equal opposite angles since every equilateral triangle is likewise an isosceles triangle.
As a result, because an equilateral triangle has equal lengths on each of its three sides, its three angles are also equal.
As a result, every equiangular triangle is an equilateral triangle.
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Find the value of x and y.
The value of x and y given in this graph is
x = 75 degree
y = 110 degree
According to the given data,
x +10 +20 = 180 °
2x +30 = 180 °
2x = 150 °
x = 75 °
because line m ║ line n
so ∠OMP = x + 20 = 95 °
so in MONP = x + 10 + x + 20 +[tex]\int\limits^[/tex] +[tex]\int\limits^[/tex] - 40 = 360 °
⇒ 180 +2 [tex]\int\limits^[/tex] - 40 = 360 °
⇒ 2 [tex]\int\limits^[/tex]- 40 = 180 degree
then we get the value of [tex]\int\limits^[/tex] ,
⇒ 2 [tex]\int\limits^[/tex] = 220 degree
⇒ [tex]\int\limits^[/tex]= 110 °
Parallel lines can be defined as two lines in the same row or column that are at equal distance from each other and never touch or cross each other. They can be either horizontal or vertical.
We can see parallel lines in geometry, sides of various shapes are parallel to each other in it . Such as in the rectangle, the single arrow lines are parallel to each other, and similarly, we get the double arrow lines are also parallel to each other.
Parallel lines are show with a pair of vertical or horizontal lines between the mid part of the lines, using this sign: ︳︳
A transversal is a line that intersects two parallel lines (or lines of side) at different intersecting points, forming angles.
Parallel lines can be easily identified using the following basic properties and characteristics:
Parallel lines are always have straight lines with an equal distance between each other.
They are coplanar lines.
They never intersect, like transversal.
If there is a transversal line that show two parallel lines at two different points, it will structure 4 angles at each point.
The corresponding angles structured by the two parallel lines and a transversal are equal.
Linear equations are generally represents by the slope-intercept represented by the equation .
In Parallel lines where “m” is the slope, “b” is the y-intercept, and x and y are variables.
The value of “m” determines the slope and show the steep slope of the line.
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Julio is watching television and sees an ad for a CD that he knows his friend wants for her birthday. If the ad replays at a random time in each 3-hour interval, what is the probability that he will see the ad again during his favorite 30-minute sitcom the next day?
Probability that Julio will see the ad again during his favorite 30-minute sitcom the next day as ad replays at a random time in each 3 hours interval is 1/6.
As given,
Ad replays at a random time in each 3- hour interval
Julio will watch again during his favorite 30 minutes sitcom
Six times 30 minutes is equals to 3 hours
Ad can appear in any of the six slots of 30 minutes
Probability of watching ad again during his favorite 30 minutes sitcom
=1/6
Therefore, probability of watching ad again during his favorite 30 minutes sitcom is 1/6.
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An airplane is flying at an airspeed of 490 km/hr in a wind blowing at 50 km/hr toward the southeast. In what direction should the plane head to end up going due east?
Two vectors, one of the length 490 and uncertain direction, and the other 50 in the direction southeast.
What is a vector?An item with both magnitude and direction is referred to be a vector. A vector can be visualized geometrically as a directed line segment, with an arrow pointing in the direction and a length equal to the magnitude of the vector. The vector points in a direction from its tail to its head.Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.The use of vectors in physics Physical quantities can be represented using vectors. Vectors are most frequently employed in physics to describe displacement, velocity, and acceleration. Vectors are depicted as arrows and combine magnitude and direction.In what direction should the plane head to end up going due east?
Two vectors, one of the length 490 and uncertain direction, and the other 50 in the direction southeast.
From the diagram, we can deduce that the y component of the wind is [tex]\frac{50}{\sqrt{2} }[/tex].
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329999+88+7777777777=
Answer:
7778107864
Step-by-step explanation:
Need help with this can y’all help me
Answer:
-4.7
Step-by-step explanation:
25.85÷ -5.5
by changing the fraction to a decimal, just do regular long division
There are 24 baseball teams in a league.
Each team plays two matches against each of the other teams.
Work out the total number of matches played?
(I have already tried writing 552 but it marking it wrong).
There are 534 played games in total.
How to get the total number of matches played?
There are 24 teams, and each team plays 2 matches against each one of the other teams.
So, let's say that each team is called team 1, team 2, team 3, ..., team 24.
If we start with team 1, they will play 2 games with each one of the other 23 teams, so here we will have: 23*2 = 46 games.
Now we go to team 2, we already counted the 2 games that the played with team 1, so we only look at the remaining 22 teams, here we will have:
22*2 = 44 more games.
Now with team 3, there are 21 teams remaining, so here we add another 2*21 = 42 games
And so on, now we do that for all the teams and then add all the numbers of games, the total number of games will be given by:
N = 2*(23 + 22 + 21 + ... + 2 + 1) = 534
There are 534 played games in total.
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p³ = 1/8 please help me if anybody can .
Answer:
[tex]p= \dfrac{1}{2}[/tex]
Step-by-step explanation:
Given equation:
[tex]p^3=\dfrac{1}{8}[/tex]
Cube root both sides:
[tex]\implies \sqrt[3]{p^3}= \sqrt[3]{\dfrac{1}{8}}[/tex]
[tex]\implies p= \sqrt[3]{\dfrac{1}{8}}[/tex]
[tex]\textsf{Apply exponent rule} \quad \sqrt[n]{a}=a^{\frac{1}{n}}:[/tex]
[tex]\implies p= \left(\dfrac{1}{8}\right)^{\frac{1}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}:[/tex]
[tex]\implies p= \dfrac{1^{\frac{1}{3}}}{8^{\frac{1}{3}}}[/tex]
[tex]\textsf{Apply exponent rule} \quad 1^a=1:[/tex]
[tex]\implies p= \dfrac{1}{8^{\frac{1}{3}}}[/tex]
Rewrite 8 as 2³:
[tex]\implies p= \dfrac{1}{(2^3)^{\frac{1}{3}}}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies p= \dfrac{1}{2^{(3 \cdot \frac{1}{3})}}[/tex]
Simplify:
[tex]\implies p= \dfrac{1}{2^{\frac{3}{3}}}[/tex]
[tex]\implies p= \dfrac{1}{2^{1}}[/tex]
[tex]\implies p= \dfrac{1}{2}[/tex]
Find the area of the figure
Answer: S=93 m²
Step-by-step explanation:
Divide the figure into two rectangles:
1)
S=(3)(11+4)+(12)(4)
S=(3)(15)+48
S=45+48
S=93 m²
2)
S=(3)(11)+(4)(12+3)
S=33+(4)(15)
S=33+60
S=93 m²
what geometric figure is for a table top
Most table tops are square, rectangular, or circular.
Find the geometric mean between each pair of numbers.
36 and 48.
The Geometric mean of 36 and 48 is [tex]24\sqrt{3}[/tex].
Geometric Mean between two numbers is defined as the Square root of the product of those two numbers .
For Example ; let a and b be two numbers , their geometric mean will be
GM=[tex]\sqrt{a*b}[/tex]
In the given question
a=36 and b=48
Substituting the values in the Geometric mean formula we get .
[tex]GM=\sqrt{36*48} \\ \\ =\sqrt{1728} \\ \\=24\sqrt{3}[/tex]
Therefore , the Geometric mean of 36 and 48 is [tex]24\sqrt{3}[/tex].
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Solve for x and graph the solution on the number line.
As a single inequality, we can write the solution of the given compound inequality as → x ≥ 8.
What are two types of inequalities?There are two types of inequalities -
Strict inequalities : The inequalities that have < or > symbol between the L.H.S and R.H.S.
Slack inequalities : The inequalities that have ≤ or ≥ symbol between the L.H.S and R.H.S.
Given in the question are two inequalities as mentioned below -
-2x - 3 < -1 and -2x - 3 ≤ -11
In this question → -2x - 3 < -1 is a strict inequality and -2x - 3 ≤ -11 is a slack inequality. We will solve them one by one.
Inequality - 1
- 2x - 3 < - 1
Add 3 on both sides -
- 2x - 3 + 3 < - 1 + 3
- 2x < 2
Multiply by -1/2 on both sides -
x > - 1
Inequality - 2
-2x - 3 ≤ -11
Add 3 on both sides -
-2x ≤ -8
Multiply by -1 on both sides -
2x ≥ 8
Divide by 2 on both sides -
x ≥ 8
Now, we have two inequalities -
x > - 1 and x ≥ 8
We can write it as one equality -
x ≥ 8
Therefore, as a single inequality, we can write the solution of the given compound inequality as → x ≥ 8.
[Graph is attached at the end]
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PLS HELP ASAP ON TEST WILL GIVE BRAINLI EST IF CORRECT
This is the explanation
Calculate the exact areas of the shapes below
Answer:
Area of a trapezium = 1 (a+b)h
2
A = 1 (6+21) × 8
2
A = 1 × 27 × 8
2
A = 27 × 4
A = 108
In March, a family starts saving for a vacation they are planning for the end of August. The family expects the vacation to cost $ 1375 . They start with $125 . Each month they plan to deposit 20% more than the previous month. Will they have enough money for their trip? If not, how much more do they need?
Will they have enough money for their trip?Yes.They will have $1407.35
If not, how much more do they need?
Given:
a1 = $125
r = 1.25
n = 6(march-august)
[tex]S_n=\frac{a(1-r^{n})}{1-r} \\\\S_6=\frac{125(1-(1.25)^{6})}{1-1.25}\\\\S_6=1407.35[/tex]
The family will have $1407.35 after making the final deposit in August.
So, they will have enough money for their trip.
They have an additional amount of $32.35 ($1407.35-$ 1375)
What is a geometric sequence?
A geometric progression is sometimes referred to as a geometric sequence in mathematics .It is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.A progression is a sequence, whereas a series is a sum, which is how they differ from one another.The complete question is:
In March, a family starts saving for a vacation they are planning for the end of August. The family expects the vacation to cost $ 1375 . They start with $125 . Each month they plan to deposit 25% more than the previous month. Will they have enough money for their trip? If not, how much more do they need?
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A car dealer has 66 red cars and 56 blue cars on the lot. the dealer wants to arrange the cars in rows so that each row has the same number of vehicles and the same number of vehicles of each type. what is the greatest number of rows that can be formed?
Answer:
8
Step-by-step explanation:
maths go brrrrrrrrrrr
Find two consecutive odd integers whose sum is -36.
someone pls pls help
