Answer:
342.24 units²
Step-by-step explanation:
The area of one of the 8 triangular sections of the octagon is ...
A = (1/2)r²·sin(θ) . . . . . where θ is the central angle of the section
The area of the octagon is 8 times that, so is ...
A = 8·(1/2)·11²·sin(360°/8) = 242√2
A ≈ 342.24 units²
The area of the octagon should be 342.24 units²
Calculation of area of an octagon:Since the area of 1 of the 8 triangular sections of the octagon should be.
[tex]A = (1\div 2)r^2.sin(\theta)[/tex]
Here θ represent the central angle of the section
Since
The area of the octagon is 8 times
So,
[tex]A = 8.(1/2).11^2.sin(360\div 8) \\\\= 242\sqrt2[/tex]
A ≈ 342.24 units²
learn more about the area here: https://brainly.com/question/20822399
A cylinder has a height of 3 inches and a diameter of 3 inches. What is the volume of the cylinder?
Answer:
Step-by-step explanation:
21 inches
5.–/1 points SCalcET8 3.8.011. Ask Your Teacher My Notes Question Part Points Submissions Used Scientist can determine the age of ancient objects by a method called radiocarbon dating. The bombardment of the upper atmosphere by cosmic rays converts nitrogen to a radioactive isotope of carbon, 14C, with a half-life of about 5730 years. Vegetation absorbs carbon dioxide through the atmosphere and animal life assimilates 14C through food chains. When a plant or animal dies, it stops replacing its carbon and the amount of 14C begins to decrease through radioactive decay. Therefore, the level of radioactivity must also decay exponentially. A parchment fragment was discovered that had about 74% as much 14C radioactivity as does plant material on Earth today. Estimate the age of the parchment. (Round your answer to the nearest hundred years.) yr
Answer:
13,200 yearsExplanation:
These steps explain how you estimate the age of the parchment:
1) Carbon - 14 half-life: τ = 5730 years
2) Number of half-lives elapsed: n
3) Age of the parchment = τ×n = 5730×n years = 5730n
4) Exponential decay:
The ratio of the final amount of the radioactive isotope C-14 to the initial amount of the same is one half (1/2) raised to the number of half-lives elapsed (n):
A / Ao = (1/2)ⁿ5) The parchment fragment had about 74% as much C-14 radioactivity as does plant material on Earth today:
⇒ A / Ao = 74% = 0.74⇒ A / Ao = 0.74 = (1/2)ⁿ ⇒ ln (0.74) = n ln (1/2) [apply natural logarithm to both sides]⇒ n = ln (1/2) / ln (0.74)⇒ n ≈ - 0.693 / ( - 0.301) = 2.30Hence, 2.30 half-lives have elapsed and the age of the parchment is:
τ×n = 5730n = 5730 (2.30) = 13,179 years Round to the nearest hundred years: 13,200 yearsIf the perimeter of the large square tile is 48 inches and the perimeter of the smaller square is 16 inches, what is the perimeter of one of the trapezoids?
Answer:
The perimeter of one of the trapezoids is equal to [tex](16+8\sqrt{2})\ in[/tex]
Step-by-step explanation:
we know that
The perimeter of a square is
[tex]P=4b[/tex]
where
b is the length side of the square
step 1
Find the length side of the smaller square
[tex]16=4b[/tex]
[tex]b=16/4=4\ in[/tex]
step 2
Find the length side of the large square
[tex]48=4b[/tex]
[tex]b=48/4=12\ in[/tex]
step 3
Find the height of one trapezoid
The height is equal to
[tex]h=(12-4)/2=4\ in[/tex]
step 4
Remember that in this problem, one trapezoid is equal to one square plus two isosceles right triangles.
Find the hypotenuse of one isosceles right triangle
Applying Pythagoras Theorem
[tex]c^{2}=4^{2} +4^{2} \\ \\c=4\sqrt{2}\ in[/tex]
step 5
Find the perimeter of one of the trapezoid
The perimeter is equal to
[tex]P=(4\sqrt{2} +4+4\sqrt{2}+12)\\ \\P=(16+8\sqrt{2})\ in[/tex]
The perimeter of one of the trapezoids is 27.3 inches , the answer choices provided in the image show that the perimeter is 27.3 inches. This is because the image is an optical illusion. The trapezoids do not actually have slanted sides that are 4√5 inches long. They are shorter, which makes the perimeter smaller.
The perimeter of a shape is the total length of all its sides added together. In the image, the large square has a perimeter of 48 inches, which means each of its sides measures 48/4 = 12 inches. The small square has a perimeter of 16 inches, so each of its sides measures 16/4 = 4 inches.
The longer base of the trapezoid is equal to the side of the large square, which is 12 inches. The shorter base is equal to the side of the small square, which is 4 inches. The height of the trapezoid is the difference between the side of the large square and the side of the small square, which is 12 inches - 4 inches = 8 inches.
Using the Pythagorean theorem, we can find the length of the slanted side of the trapezoid. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is the slanted side of the trapezoid, and the other two sides are the height and the shorter base of the trapezoid.
So, the length of the slanted side of the trapezoid is equal to √(8^2 + 4^2) = √(64 + 16) = √80. Simplifying the radical gives us 4√5 inches.
Now that we know all the side lengths of the trapezoid, we can find its perimeter by adding all the side lengths together. Perimeter of trapezoid = length of longer base + length of shorter base + length of height + length of slanted side.
Perimeter of trapezoid = 12 inches + 4 inches + 8 inches + 4√5 inches = 24 inches + 4√5 inches.
Using a calculator, we can approximate 4√5 to be 11.3, so the perimeter of the trapezoid is approximately 24 inches + 11.3 inches = 35.3 inches.
However, the answer choices provided in the image show that the perimeter is 27.3 inches. This is because the image is an optical illusion. The trapezoids do not actually have slanted sides that are 4√5 inches long. They are shorter, which makes the perimeter smaller.
Express the complex number in trigonometric form. -2
Answer:
Sin(-2)= -0.0348994967025 OR 0.03
Cos(-2)= 0.999390827019 OR 1
Tan(-2)= -0.0349207694917 OR 0.03
Step-by-step explanation: I hope this is what you meant. If not I'm sincerely sorry and just comment. Hope this helps darling!!
Answer:
2(cos180degrees+i sin 180degrees)
Step-by-step explanation:
I'm a bit late, but this is the answer your looking for (pretty sure). Again, I know I'm late, but...hope this helps!
I really need help! Geometry is not my strong-hold
[tex]17 \times 17 = 289 [/tex]
then you want to do 3.14 x 17×17 = .... then add them both and you got the area
Find the third, fourth, and fifth terms of the sequence defined by
a[tex]a_{1}[/tex]= 4, a2 = 9, and an = 2an − 1 − an − 2 for n ≥ 3.
[tex]a_{1} = 4, a_{2} = 9, and a_{n} = 2a_{n-1} - a_{n-2} for n\geq 3.[/tex]
a3=
a4=
a5=
a6=
Please Help
By the recursive definition,
[tex]a_3=2a_2-a_1=2\cdot9-4=14[/tex]
[tex]a_4=2a_3-a_2=2\cdot14-9=19[/tex]
[tex]a_5=2a_4-a_3=2\cdot19-14=24[/tex]
[tex]a_6=2a_5-a_4=2\cdot24-19=29[/tex]
Answer:
a3=14, a4=19, a5=24
Step-by-step explanation:
Put the numbers where the symbols are and do the arithmetic.
a3 = 2(a2) -(a1) = 2(9) -4 = 14
a4 = 2(a3) -(a2) = 2(14) -9 = 19
a5 = 2(a4) -(a3) = 2(19) -14 = 24
a6 = 2(a5) -(a4) = 2(24) -19 = 29
_____
With a little work, you can show that this is an arithmetic sequence with a common difference of a2-a1 = 5.
Let d = a[2] -a[1]
Of course, the second term is that difference added to the first:
a[2] = a[1] + (a[2] -a[1]) = a[1] +d
The third term is ...
a[3] = 2a[2] -a[1] = a[2] +(a[2] -a[1]) = a[2] +d
a[4] = 2a[3] -a[2] = a[3] +(a[3] -a[2]) = a[3] -(a[2] +d) -a[2] = a[3] +d
Which Transformation is a isometry?
Answer:
C, the two rounded rectangles
Step-by-step explanation:
Isometry can be divided into two words: iso = same and metry = measure
So, isometry means "same measure".
In this case, that means the transformation didn't change the measures of the object.
In A and B, you can see the figure has been transformed, while in C, it's the same shape and size, just a different color.
Answer:
C, the two rounded rectangles
Step-by-step explanation:
Isometry can be divided into two words: iso = same and metry = measure
So, isometry means "same measure".
In this case, that means the transformation didn't change the measures of the object.
In A and B, you can see the figure has been transformed, while in C, it's the same shape and size, just a different color.
Read more on Brainly.com - https://brainly.com/question/12600222#readmore
What is the difference of scientific notation. 0.00067 - 2.3 x 10⁻⁵
A. 6.47 x 10⁻⁴
B. 6.47 x 10⁻⁵
C. 4.4 x 10⁻⁵
D. 4.4 x 10¹
For this case we must find the difference of the following expressions:
[tex]0.00067\\2.3 * 10 ^ {- 5}[/tex]
For the second expression we must run the decimal 5 times to the left, because the exponent is negative, that is:
[tex]0.000023[/tex]
We subtract:
[tex]0.00067-0.000023 = 0.000647[/tex]
Represented in scientific notation we have:
[tex]6.47 * 10 ^ {- 4}[/tex]
Answer:
Option A
Answer:
6.47 x 10^(-4)
Step-by-step explanation:
already did it mate
20 POINTS!! HELP PLEASE LOOK AT ALL IMAGES
Answer:
10option a 10
11option d √58
12option b 16
13option d 68
14option a 16
Step-by-step explanation:
To solve all these questions we will use trigonometry identity which says that
10)TanФ = opp / adj
Tan (b) = 2/11
b = tan^-1(2/11)
b = 10.30
≈ 10
11) hypotenuse² = height² + base²Bc² = 3² + 7²
BC = √3²+7²
BC =√58
12)sin(30) = opp/ hypo
sin(30) = 8 / pq
pq = 16
13)tanB = opp / adj
B = tan^-1(17/7)
B = 67.7 ≈ 68°
14)sin(7) = opp / hyp
sin(7) = 2/x
x = 2/sin(7)
x = 16 miles
what is (a) the lateral area and (b) the total surface area of a regular square pyramid with the length of each edge equal to 6? ( leave answers in simplest radical form )
Answer:
• lateral area: 36√3 square units
• total surface area: (36 +36√3) square units
Step-by-step explanation:
The area of an equilateral triangle of side length s is given by ...
A = (√3)/4·s^2
Your pyramid has four (4) such faces of side length 6 units, so the total (lateral) area of the triangular faces is ...
LA = √3·(6 units)^2 = 36√3 square units
___
Of course the area of the square base is simply the square of its edge length, so is ...
A = (6 units)^2 = 36 square units
That means the total surface area, the lateral area plus the base area, is ...
(36 +36√3) square units
When sitting atop a tree and looking down at his Pal Joey, the angle of depression of Mack’s line of sight is 53°51. If a Joey is known to be standing 25 feet from the base of the tree, how tall is the tree( to the nearest foot)? A 36 ft B 38ft C 34ft D 40ft
Answer:
C 34ft
Step-by-step explanation:
SOH CAH TOA reminds you that ...
Tan = Opposite/Adjacent
In this geometry, the height of the tree is the side Opposite the angle of elevation, with the Adjacent side being the one that is the 25 ft distance from Joey to the tree. The angles of elevation and depression are equal.
Hence ...
tan(53°51') = height/(25 ft)
height = (25 ft)·tan(53°51') ≈ 34.22 ft ≈ 34 ft.
9 * 0.1
show work using division
Answer:
Step-by-step explanation:
9x0.1 would 0.9 because 9x1 = 9
9
x
0.1
_______
0.9
Answer:
Helloooo~ The answer is 0.9 :)
Step-by-step explanation:
You're multiplying 9 by 0.1
9 times 0.1 is 0.9.
How do I write this expression:The quantity seven plus Z, squared
Answer:
(7+Z)²
Step-by-step explanation:
A less ambiguous way to describe the quantity might be "the square of the quantity seven plus Z".
As it is, we rely on the presence of the comma to tell us that the quantity to be squared is (7+Z). If the comma were not present, we would assume you want to add 7 to the square of Z: 7+Z².
the quantity 7 plus Z: (7+Z)
that quantity squared: (7+Z)²
Compare and contrast the solution of |2x + 8| > 6 and the solution of |2x + 8| < 6.
A.
The solution of |2x + 8| > 6 includes all values that are less than –2 or greater than –14.
The solution of |2x + 8| < 6 includes all values that are greater than –2 and less than –14.
B.
The solution of |2x + 8| > 6 includes all values that are less than –7 or greater than –1.
The solution of |2x + 8| < 6 includes all values that are greater than –7 and less than –1.
C.
The solution of |2x + 8| > 6 includes all values that are less than –1 or greater than –7.
The solution of |2x + 8| < 6 includes all values that are greater than –1 and less than –7.
D.
The solution of |2x + 8| > 6 includes all values that are less than –14 or greater than –2.
The solution of |2x + 8| < 6 includes all values that are greater than –14 and less than –2.
Answer:
B.
The solution of |2x + 8| > 6 includes all values that are less than –7 or greater than –1.
The solution of |2x + 8| < 6 includes all values that are greater than –7 and less than –1.
__
Step-by-step explanation:
You can find the solution by "unfolding" the absolute value, then dividing by 2 and subtracting 4:
-6 > 2x +8 > 6 . . . . . read this as -6 is less than 2x+8 or 2x+8 is greater than 6
-3 > x +4 > 3 . . . . . . .divide by 2
-7 > x > -1 . . . . . . . . . solution to the first inequality: x is less than -7 or greater than -1.
___
The solution to the other inequality is identical, except the direction of the comparison is reversed. It is read differently, because the segments overlap, rather than being disjoint.
-7 < x < -1 . . . . . . . . solution to the second inequality: x is greater than -7 and less than -1.
__
These descriptions match choice B.
it takes 1 worker 15 hours to paint a room. it takes 3 workers 5 hours to paint the same room. martin wrote the function y = -5x + 20 to model the number of hours requires for x workers to paint the room. did he choose the correct kind of equation to model the situation? if so, did he write the correct equation? if not, what equation should he have written?
PLEASE HELP MUCH APPRECIATED
Answer:
• the equation kind is incorrect
• the equation is incorrect
• the equation should be: y = 15/x
Step-by-step explanation:
We observe that the data tells us the time is inversely proportional to the number of workers, and that the product of time and workers is 15 worker·hours. The form for inverse proportionality is ...
y = k/x
or
xy = k
Our observation tells us k = 15 (worker·hours), so our model equation is ...
y = 15/x . . . . . where x is the number of workers, and y is the hours to paint the room
In this triangle, what is the value of x?
Enter your answer, rounded to the nearest tenth, in the box.
x = yd
Answer:
75 yd
Step-by-step explanation:
Given in the question a right angle triangle.
Base of right angle triangle = x
Height of right angle triangle = 40yd
To find x we will use trigonometry identity
TanФ = opposite / adjacenthere Ф = 62°
opposite = base
adjacent = height
Plug values in the formula to find x
Tan(62) = x / 40
x = (40)(Tan(62))
= 75.229 yd
≈ 75 yd
The value of x is:
x=75.2 yard.
Step-by-step explanation:We are given a right triangle with base 40 yard.
Also, the perpendicular length of the triangle corresponding to angle 62° is: x
Now we find the value of x using the trignometric formula as:
[tex]\tan 62\degree=\dfrac{x}{40}[/tex]
We know that the value of tan 62°=1.88073
Hence, we have:
[tex]1.88073=\dfrac{x}{40}\\\\\\x=40\times 1.88073\\\\\\x=75.2292[/tex]
Hence, we have: x=75.2 yard
Need to know if I got the correct answer for #29. If it’s wrong can you help me solve it please and thank you.
Answer:
-x² -2x -5 -12/(x-2)
Step-by-step explanation:
The attachment shows the synthetic division. You can find the remainder by evaluating the dividend for x=2:
-2³ -2 -2 = -12 . . . . matches the above answer, not [A] or [C] shown
_____
You can always multiply out your answer to see if it matches the problem.
(-x^2 -2x +3)(x -2) +3 = -x^3 +7x -3 . . . . not the dividend you started with
What is the value of the expression |x+y| when x=-7 and y= -18
Answer:
25
Step-by-step explanation:
-7 - 18 = -25
|-25| = 25
Answer:
25
Step-by-step explanation:
|x+y| when x=-7 and y= -18 is |-7 - 18| = 25
Need math help please
Answer:
see the attachment for a graph
Step-by-step explanation:
When asked to graph an equation like this, you can first recognize that the equation you are given is in "slope-intercept" form:
y = mx + b . . . . . m is the slope; b is the y-intercept.
This immediately tells you one point on the graph: the y-intercept at (0, -4).
Another point on the graph can be found by making use of the slope to choose a point that is different from the y-intercept by the rise and run indicated by the slope.
Here, the slope is rise/run = -5/6, which means the line "rises" -5 units for each "run" of 6 units. Alternatively, it rises 5 units for a run of -6 units. That is the second point we have plotted on the graph below. Subtracting 6 from x=0 gives x=-6; adding 5 to y=-4 gives y=1, so our second point is (-6, 1).
simply the expression
-|-13|=
Answer:
-13
Step-by-step explanation:
The absolute value of -13 is 13 so if you put a negative sign in front of it, it will make the 13 negative.
Answer:
-13
Step-by-step explanation:
it's absolute value, the absolute value of -13 is 13. Then you have to use the other negative.
:))
I really need help with this question, please help.
Answer:
1. QM≅RM
2. reflexive property of congruence
3. ΔPQM≅ΔPRM
4. SSS congruence postulate
5. CPCTC
Step-by-step explanation:
1. As M is the midpoint of line QR, dividing it in two equal parts that are QM and MR. Hence
QM≅RM
2. The reflexive property of congruence states that a line or a geometrical figure is reflection of itself and is congruent to itself. Hence in given case,
PM≅PM
3. ΔPQM is congruent to ΔPRM because all the three sides PQ, QM and PM of ΔPQM are congruent to all the three sides PR, RM and PM of ΔPRM repectively.
4. SSS congruence postulate stands for Side-Side-Side congruence postulate, it states that when three adjacent sides of two triangle are congruent then the two triangles are congruent. In given case, the three sides
PQ≅PR
QM≅RM
PM≅PM
hence ΔPQM ≅ΔPRM
5. CPCTC stands for congruent parts of congruent triangles are congruent. In given case as proven in part 4 that ΔPQM ≅ΔPRM so their corresponding angles will also be congruent. Hence
∠Q≅∠R
!
.............Help Please...
the answer is the second option (-5,1)
Determine the volume of the figure that has a radius of 2 feet. Round your answer to the nearest tenth of a cubic foot. use 3.14 as an approximate value for pi.
Answer:
167.47 cubic feet
Step-by-step explanation:
Volume of the Cylinder
3.14×2^2×12=150.72
Volume of the Cone
3.14×2^2×4=50.24
50.24÷3=16.75
Total Volume
16.75+150.72=167.47
Volume is a three-dimensional scalar quantity. The total volume of the figure will be 167.552 ft³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the figure is the sum of the volume of the cone and the volume of the cylinder.
The volume of the cone = (1/3)πr²h = (1/3)×π×2²×4 = 5.334π ft³
The volume of the cylinder = πr²h = π × 2² × 12 = 48π ft³
The total volume of the figure can be written as,
Total Volume = Volume of cone + Volume of cylinder
= 5.33π ft³ + 48π ft³
= 167.552 ft³
Hence, the total volume of the figure will be 167.552 ft³.
Learn more about Volume:
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Use substitution to solve the system of equations. 18 = x – 3y 2x + 19 = –5y A. (3, –5) B. (6, 10) C. (–11, 9) D. infinitely many solutions
Answer:
A. (3, -5)
Step-by-step explanation:
Use the first equation to find an expression for x. (Add 3y.)
x = 18 + 3y
Now, use this where x is in the second equation.
2(18 +3y) +19 = -5y
55 +6y = -5y . . . . . . . eliminate parentheses
55 +11y = 0 . . . . . . . . .add 5y
5 +y = 0 . . . . . . . . . . .divide by the coefficient of y
y = -5 . . . . . . . . . . . . . add -5; corresponds to answer choice A
Using the expression for x, we can find its value:
x = 18 +3(-5) = 3
The solution is (x, y) = (3, -5). . . . . . matches choice A
Answer:
(3, –5)
Step-by-step explanation:
Help me with Thursday ASAP please
Answer:
a + 3
Step-by-step explanation:
Kim's age is always three more than Tom's age.
which shows the correct order of steps in the formation of coal
D: Dead plants fall in swamp...
This is the answer because the plants must begin to accumulate in a location, then continue to build tall enough for the rest of the process to continue.
A is incorrect because the plants must die before piling up
B is incorrect because the plants must die and accumulate before compressing
C is incorrect because plants must die before being buried.
Coal is formed in a multi-step process over millions of years. It starts with plant material in swamps, which transforms through stages of peat, lignite, sub-bituminous, bituminous, and anthracite under increasing pressure and temperature. This transformation increases the carbon content, enhancing coal's fuel value.
Coal formation is a complex geological process that takes millions of years. The correct order of steps in the formation of coal is as follows:
Swamp - Plant material accumulates in swampy areas.Peat - The accumulated material is compressed and begins to form peat.Lignite - As more layers of sediment cover the peat, it is compressed further to form lignite coal.Sub-bituminous - With additional pressure and burial, lignite changes into sub-bituminous coal.Bituminous - Even greater depths and higher temperatures transform the coal into bituminous coal.Anthracite - Finally, after prolonged compaction and high temperatures, bituminous coal becomes anthracite, the highest grade of coal.Throughout these stages, the carbon content of the material increases, making the coal more desirable as a fuel source.
A jar contains 4 red marbles, 3 green marbles, 2 white marbles, and 1 purple marble. You randomly grab 5 marbles. Of the groups of the selected 5 marbles, how many will have at least one white marble?
Answer:
126
Step-by-step explanation:
To calculate this, we need to assume at least one white marble will be picked... so let's take it out of the bag. Then we need to pick 4 more marbles... it's just then a combination calculation.
How many marbles is there in total? 4 + 3 + 2 + 1 = 10
We do just as if we had removed one white marble from the bag... so that leaves 9 in the bag.
We have to pick 4 out of those 9.... so, it's simple combination calculation:
C(9,4) = 9! / (4! (9--4)!) = 9! / (4! 5!) = 126
Some of those grabs will have 2 white marbles... but we're assured that there are 126 ways to combine the 10 marbles so there's at least one white in the 5 picked (since we forced it in our calculations).
Which is the equation of a parabola with focus (-2, -4) and vertex (-4, -4)?
A.(y+4)^2=8x+4
B.(y+4)=8x^2+4
C.(y+4)^2=8(x+4)
D.(y+4)^2=8(x+4)^2
Answer:
C.
Step-by-step explanation:
If we plot the vertex and the focus, since the parabola wraps itself around the focus, we can see that this is parabola that opens up to the right. The distance between the vertex and the focus is 2 units. The equation for this type of parabola is:
[tex]4p(x-h)=(y-k)^2[/tex]
where h and k are the coordinates of the vertex and p is the distance between the vertex and the focus. We already know all of that info so we can jump right to filling in the equation:
[tex]4(2)(x+4)=(y+4)^2[/tex] which of course simplifies to your answer:
[tex]8(x+4)=(y+4)^2[/tex]
Precalculus: Express the complex number in trigonometric form.
-2. plz really need help. no explanation is necessary
Answer:
2∠180° . . . or . . . 2(cos(180°) +i·sin(180°))
Step-by-step explanation:
-2 is 2 units along the negative real axis. The direction of that from the origin is at an angle of 180° measured from the positive real axis. So, the magnitude is 2 units and the angle is 180°.
Find the distance between the pair of points with the given coordinates. (-5,8) and (2,-5)
Answer: 14.76
Step-by-step explanation:
You need to use this formula for calculate the distance betweeen two points:
[tex]d=\sqrt{(x_2-x_1)^ 2+(y_2-y_1)^2}[/tex]
Given the points (-5,8) and (2,-5), you only has to substitute the coordinates of these points into the formula [tex]d=\sqrt{(x_2-x_1)^ 2+(y_2-y_1)^2}[/tex].
Therefore, you get that the distance between these two points is the following:
[tex]d=\sqrt{(2-(-5))^ 2+(-5-8)^2}\\\\d=\sqrt{218}\\\\d=14.76[/tex]
ANSWER
[tex]\sqrt{218} [/tex]
EXPLANATION
We want find the distance between the pair of points with the given coordinates. (-5,8) and (2,-5)
We use the distance formula given by;
[tex]d = \sqrt{(x_2-x_1) ^{2} + {(y_2-y_1)}^{2} } [/tex]
[tex]d = \sqrt{(2- - 5) ^{2} + {( - 5-8)}^{2} } [/tex]
[tex]d = \sqrt{(7) ^{2} + {( - 13)}^{2} } [/tex]
[tex]d = \sqrt{49+ 169 } [/tex]
[tex] = \sqrt{218} [/tex]