The distance from Sang to Jazmin is 101 yards.
What is the distance from Sang to Jazmin?
From the discussion in the question, we can see that the positions of Sang and Jazmin can be construed to give a rectangle. We know that the rectangle is a four sided figure.
The diagonal is a line that is drawn from one side of the four sided figure to another. Hence we can be able to apply the Pythagoras theorem to obtain the distance from Sang to Jazmin.
From;
c^2 = a^2 + b^2
c = √a^2 + b^2
c = √(20)^2 + (99)^2
c = 101 yards.
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A regular octagon has an apothem measuring 10 in. and a perimeter of 66.3 in. a regular octagon has an apothem with length 10 centimeters and a perimeter of 66.3 inches. what is the area of the octagon, rounded to the nearest square inch?
331.5 inches² is the area of the octagon, rounded to the nearest square inch.
What is octagonal in shape?
In geometry, an octagon is a polygon that has 8 sides and 8 angles. All the sides are joined end to end to form the shape of the octagon. The sum of the interior angles of an octagon is equal to 180 degrees.Solving for an area of a regular octagon, we can make use of the formula shown below:
Area = 1/2 × apothem × perimeter
In this problem, the following values were given such as:
Apothem = 10 inches
Perimeter = 66.3 inches
Put the values in the formula
Area = 1/2 × 10 × 66.3
Area = 331.5 inches²
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Answer: C). 332 in.2
Step-by-step explanation:
on edg
The equation of a circle is x2 y2 cx dy e = 0. if the radius of the circle is decreased without changing the coordinates of the center point, how are the coefficients c, d, and e affected?
While E will increase, C and D won't change.
What is coordinate geometry?A coordinate system is a method for determining how to position points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more numbers, or coordinates.
Due to the fact that the circle's equation is,
Nevertheless, we are aware of the circle's equation.
[tex]x^{2}+y^{2}+C x+D y+E=0[/tex]
(By figuring out the circle's equation[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex], where r is the radius and (h,k) is the center)
[tex]x^{2}+y^{2}+2 h x+2 k y+\left(h^{2}+k^{2}-r^{2}\right)=0[/tex]
The following equation is compared to the generic equation above.
Our results are C = 2h, D = 2k, and E [tex]=\left(h^{2}+k^{2}-r^{2}\right)[/tex]
As a result, C will be unchanged if r lowers ( because C is free from r)
D won't be effected ( because D is also free from r)
E will, however, rise if r falls.
E[tex]=\left(h^{2}+k^{2}-r^{2}\right)[/tex]
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If a member states, "i don’t know what to say to my father" during a role play. The best response from the leader will be?
The sentence "If this is the last chance you have to speak to him, what do you want to tell him" will be the best response from the leader.
What is a role play?This refers to the act of imitating the character and behaviour of someone who is different from yourself which an example is a training exercise which involves imitating of another people.
Sometimes, during the role play, the member of the group can run out of words while presenting a role, hence, as the member states, "i don’t know what to say to my father", the sentence "If this is the last chance you have to speak to him, what do you want to tell him" will be the best response from the leader to induce the member to talk.
Therefore, the Option C is correct.
Missing word "a. What or whom do you want to get away from? b. What made you come if you didn't want to be here today? c. If this is the last chance you have to speak to him, what do you want to tell him? d. What do you imagine will happen if you don't talk about it?"
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Books front a certain publisher contain an average of 1 misprint per page. What is the probability that on at least one page?
The probability for at least 1 page is 0.667 .
Probability is the department of arithmetic concerning numerical descriptions of the way likely an event is to occur, or how probable it is that a proposition is actual. The probability of an event is a number between 0 and 1, where, roughly speaking, zero shows the impossibility of the event, and 1 suggests truth.
Possibility = the wide variety of methods of achieving success. The whole wide variety of possible outcomes. As an example, the opportunity of flipping a coin and its being heads is ½ because there's 1 way of having a head and the total quantity of viable outcomes is 2 (a head or tail). We write P(heads) = ½.
The form opportunity is from old French probability (14 c.) and at once from Latin probabilities (nominative probabilitas) "credibility, possibility," from probabilistic (see likely). The mathematical sense of the time period is from 1718.
As there's an average of 1 misprint in line with the web page, the possibility of a minimum of 5 misprints is 1 - P(0, 1, 2, 3, or 4 misprints)
P(0) = e-1/0!
P(1) = e-1/1!
P(2) = e -1/2!
P(3) = e-1/3!
P(4) = e-1/4!
P(0, 1, 2, 3, or 4 misprints) = e-1(1 + 1 + half of + 1/6 + 1/24) = 2 17/24 e-1 = .99634
Then, P(5 or more misprints) is 1 - .99634 = .00366
Then, the P(at the least 1 page in a 300-page ebook has at least 5 misprints) = 1 - P(0 pages have at least 5 misprints).
P(0 pages have at the least 5 misprints) = P(300 of 300 pages have 0, 1, 2, 3, or 4 misprints) =.99634 300
(you could view this as C(300, 300) p300 in case you desire) = 0.332881690573629
Then, P(1 or greater pages have at least 5 misprints) = 1 - 0.332881690573629 = 0.667118309426371
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pls help summer hw hurts my brain
Answer:
1) (3,1)
2) (4,1)
3) No solution
Step-by-step explanation:
The solution is point where the graphs cross. It is a little hard to see the pictures, but I think that I have the right ordered pairs. The ordered pairs are in the order (x,y). The x tells you how far (in these cases), the point is right of the origin (0,0 the middle of the whole graph). The y tells us (in these cases) how high the point is from the origin (0,0).
The last answer has no solution because the lines are parallel and they do not cross.
In which step does a mistake first occur? 8 2 (3 x 3 -2) step 1: 8 2 (3 x 1) step 2: 8 2 3 step 3: 4 3 step 4: 7
Answer: Step 1
Step-by-step explanation: The order of operations states that multiplication must be done before addition. However, in step 1, 3x3-2 turns into 3x1 which is wrong. It should be 9-2 because you need to do the multiplication first.
2. (01.01 LC)
Which of the following is a defined term? (6 points)
Angle
Line
Point
Plane
Answer:
is there a picture I can look at?
Answer: Line
Step-by-step explanation:
Trevor’s total employment compensation is $33,500. If Trevor has no job expenses and his gross pay is $28,600, then his total employee benefits are _____% of his gross pay.
a.
4.9
b.
8.5
c.
14.6
d.
17.1
The equation be x/100 [tex]*[/tex] 28,600 = 33,500, then we get 17%.
Trevor's total employee benefits exists 17.1% of his gross pay.
Therefore, the correct answer is option d. 17.1.
How to find Trevor's total employee benefits?If you would like to know Trevor's total employee advantages, you can estimate this utilizing the subsequent steps:
To find the percentage of the total employee benefits x% of $28,600 exists $33,500.
To estimate the value of x, bring the variable to the left side and bring all the remaining variables to the right side. Simplify the values to estimate the result.
x/100 [tex]*[/tex] 28,600 = 33,500
x = 33,500 [tex]*[/tex] 100 / 28,600
x = 117.13% = 117%
117% - 100% = 17%
x = 17%
The correct result would be 17%.
Trevor's total employee benefits exists 17.1% of his gross pay.
Therefore, the correct answer is option d. 17.1.
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Answer:
It is D
Step-by-step explanation:
Guess my number when i tripple my number snd add five,i get 26 what is my number
(08.07 HC)
An expression is shown below:
f(x) = 2x²-3x - 5
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the
coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers
obtained in Part A and Part B to draw the graph. (5 points)
(10 points)
Answer:
Below in bold.
Step-by-step explanation:
Part A
At the x-intercepts f(x) = 0, therefore:
2x^2 - 3x - 5 = 0
(2x - 5)(x + 1) = 0
x = 5/2, -1)
So the x intercepts are (-1, 0) and (5/2, 0).
Part B
The Coefficient of x^2 is positive ( it is 2) So the graph opens upwards and the vertex will be a minimum.
Convert f(x) to vertex form, by completing the square:
f(x) = 2x^2 - 3x - 5
= 2(x^2 - 3/2x) - 5
= 2[(x - 3/4)^2 - 9/16] - 5
= 2(x - 3/4)^2 -18/16 - 80/16
= 2(x - 3/4)^2 - 49/8
So the coordinates of the vertex are
(3/4, -49/8) or
(0.75, -6.125) in decimal form.
Part C
To graph f(x) you would first mark the points on the x axis which we found in Part 1 and the vertex found in Part 2. This vertex will be the bottom of the 'U'.
The graph is a parabola shaped roughly like a U, and will be symmetrical about the line x = 0.75 (which passes through the vertex).
You would also plot 2 more points above the x axis so as to get an accurate graph. 1 would be to the left of the line of symmetry and 1 to its right.
Suggest x = - 2 and calculate f(-2) = 2(-2)^2 - 3(-2) - 5 = 11.
- that is the point (-2,11) and the other would be x = 4, f(x) = 15. (4, 15)
Once you have plotted these points draw a smooth u shaped curve through them.
Please help!
The graph shows a system of inequalities.
Which point is a solution to the system?
(0,-1)
(2,3)
(4,0)
(6,-6)
Check the picture below.
UV has endpoint U(21.6, -8.2) and midpoint M(15.8, -17). What are the coordinates of the other endpoint, V?
(7, -22.8)
(10, -25.8)
(18.7, -12.6)
(27.4, 0.6)
Using the midpoint formula, the coordinates of the other endpoint, V is: B. (10, -25.8).
What is the Midpoint Formula?To find the coordinates of the midpoint of a segment, the midpoint formula is used, which is expressed as: M(x2 + x1/2, y2 + y1/2).
Given one endpoint of UV as, U(21.6, -8.2), and a midpoint of M(15.8, -17), let:
U(21.6, -8.2) = (x1, y1)
V(x, y) = (x2, y2)
Plug in the values into M(x2 + x1/2, y2 + y1/2):
M(15.8, -17) = (x2 + 21.6/2, y2 + (-8.2)/2)
Solve for x2
15.8 = (x2 + 21.6)/2
Multiply both sides by 2
2(15.8)= (x2 + 21.6)/2 × 2
31.6 = x2 + 21.6
Subtract both sides by 21.6
31.6 - 21.6 = x2 + 21.6 - 21.6
10 = x2
x2 = 10
Solve for y2:
-17 = (y2 + (-8.2))/2
Multiply both sides by 2
2(-17) = (y2 + (-8.2))/2 × 2
-34 = y2 + (-8.2)
-34 = y2 - 8.2
Add 8.2 to both sides
-34 + 8.2 = y2 - 8.2 + 8.2
-25.8 = y2
y2 = -25.8
The coordinates of the other endpoint, V is: B. (10, -25.8).
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Answer: B
Step-by-step explanation: edge2023
A circle is shown. The shelf is represented by a chord and the brace goes from the chord to to a point on the circle. The brace line is extended up to form a diameter.
Custom drapes are being fitted for a large circular window. It is difficult to get these measurements, but the window has an 8 ft horizontal shelf with a 2 ft brace that sits in the frame. If the brace is extended upward, it would go through the center of the shelf and the circle. What is the diameter of the window?
Diameter = feet
The length of the diameter formed is in the image given is: 10 ft.
What is a Diameter of a Circle?The diameter of a circle is the line segment that divides the circle into two equal halves. The diameter divides the circle into semicircles. Also, the diameter of a circle is twice the length of the radius of a circle.
If we know the length of the radius, we can determine the length of the diameter of a circle by multiplying the radius by two. On the other hand, if we know the length of the diameter, to find the length of the radius, divide the diameter by 2.
The image of the circle showing the shelf and the brace line, which is the diameter are shown below.
To find the diameter of the window, add the length of the horizontal shelf and length of the brace. Thus:
Length of the diameter of the window = 8 + 2
Length of the diameter of the window = 10 ft
Thus, the length of the diameter formed is: 10 ft.
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Answer:
10 ft
Step-by-step explanation:
_______ 2. Find the length of PQ
A. 4.5π units
B. 9π units
C. 54π units
D. 12π units
Answer:
D
Step-by-step explanation:
Pq=opp/hyp
(135+12)=180
BC is tangent to circle A at point B.
Find m/CAB if m/ACB=62".
Enter your answer in the box.
m/CAB
Answer:
28
Step-by-step explanation:
Tangent is a line that touches the circle at one point and is perpendicular to the radius. Circle A has radius AB and tangent CB, so AB is perpendicular to CB. Therefore triangle ABC is a right angle, with angle B measuring 90 degrees. Since interior angles of a triangle add up to 180 degrees, measure of angle A is 180 - 90 - 62 = 28 degrees.
RSM wants to send four of its 18 Math Challenge teachers to a conference. How many combinations of four teachers include Mrs. Vera(only)?
There are 680 combinations of four teachers include Mrs. Vera(only)
How to determine the number of combination?The given parameters are
Teachers, n = 18
Selected teachers. r = 4
The selection must include Mrs. Vera.
So, the remaining parameters are:
Teachers, n = 17
Selected teachers. r = 3
The combination is then calculated as:
Ways = nCr
This gives
Ways = 17C3
Apply the combination formula
Ways = 17!/(14!3!)
Evaluate the expression
Ways = 680
Hence, there are 680 combinations of four teachers include Mrs. Vera(only)
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please answer my question
Considering the box-plots, the means for the data-sets are given as follows:
Data-set A: 5.5Data-set B: 5.What does a box-plot shows?Each shows the number of times each measure appears.
Hence, the mean of data-set A is given as follows:
mA = (3 + 4 x 3 + 5 x 2 + 6 x 2 + 7 x 3 + 8)/(1 + 3 + 2 + 2 + 3 + 1) = 5.5.
For data-set B, the mean is:
mB = (2 x 4 + 2 x 5 + 2 x 6)/(2 + 2 + 2) = 5.
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distribute the problem
2(3-8y)
Answer:
6-16yStep-by-step explanation:
Hello!
apply distributive law
[tex]a(b - c) = ab - ac[/tex]
2(3-8y)=2.3-2.8y
2.3=6-2.8y= -16y=6-16y
Hope it helps!
Lines b and c are parallel.
Which is the measure of 6
Answer:
m∠6 = 54°
Step-by-step explanation:
Given the diagram, we know that line b is a straight line and angles 1 (the angle measuring 13x + 9°) and 2 are supplementary angles and thus add up to 180.
We also know angles 2 and 7 (the angles measuring 5x + 9°) are alternate exterior angles and are therefore congruent.
So since angle 2 = 5x + 9, we can do:
13x + 9 + 5x + 9 = 180
18x + 18 = 180
18x = 162
x = 9
Angles 7 and 6 are also congruent plugging x into angle 7 also gives us the measure of angle 6:
5(9) + 9 = 45 + 9 = 54°
PLEASE HURRY ASAP I NEED IT ASAPP PLEASE SHOW YOUR WORKKK I WILL MAKE YOU BRAINLIEST
40 POINTS
PLEASE SHOW YOUR WORKKK I WILL MAKE YOU BRAINLIEST
In rectangle ABCD, what is the length of BD¯?
Answer:
BD = √97 cm ≈ 9.849 cm
Step-by-step explanation:
Diagonal BD of rectangle ABCD is the hypotenuse of right triangle ABD. Opposite sides of the rectangle are the same length, so we have ...
AB = 4 cm
AD = 9 cm
The sides are related to the diagonals by the Pythagorean theorem.
Pythagorean theoremThe Pythagorean theorem tells you the relation between sides and hypotenuse of a right triangle:
AB² +AD² = BD²
4² +9² = BD² = 16 +81 . . . . . evaluating the squares
BD = √97 . . . . . take the square root
The length of BD is √97 cm, about 9.849 cm.
A binomial experiment consists of 500 trials. the probability of success for each trial is. 4. what is the probability of obtaining the number of successes indicated in problems 51–58?
The probability of obtaining the number of successes indicated in problems 51–58 is 0.42.
Probability is absolutely how in all likelihood something is to happen. every time we're unsure about the final results of an occasion, we can talk about the chances of sure results—how in all likelihood they may be. The analysis of occasions ruled by using probability is called facts.
The opportunity of an event may be calculated with the aid of the opportunity formula by means of truly dividing the favorable wide variety of results by way of the overall variety of feasible effects.
Probability is the department of mathematics regarding numerical descriptions of ways possibly an occasion is to occur, or how likely it's miles that a proposition is actual. The chance of an event is more than a few between zero and 1, in which, roughly talking, 0 shows the impossibility of the event and 1 suggests fact.
Cells x doute the no of surrell and
"p' denotes the probability of turrets
D= 5
H=pkin = 50-xo-5 = 250
σ = SD(X) = √√rbg
= √√5=x05x=5 = 14.№33
The probability of obtaining $45-26
= P(-5-250 < x-M 22605-250)
14.233
= P(-03864 < 2 2 0-7332)
8.4200
0.42
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Find the midpoint between the pair of points.
(-4, 10) and (14, 0)
Answer:
( 5 , 5 )
Step-by-step explanation:
→ Add 2 the x coordinates together
- 4 + 14 = 10
→ Divide answer by 2
10 ÷ 2 = 5
→ Add the 2 y coordinates together
10 + 0 = 10
→ Divide answer by 2
10 ÷ 2 = 5
Answer:
(5, 5 )
Step-by-step explanation:
given points (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
here (x₁, y₁ ) = (- 4, 10 ) and (x₂, y₂ ) = (14, 0 ) , then
midpoint = ( [tex]\frac{-4+14}{2}[/tex] , [tex]\frac{10+0}{2}[/tex] ) = ( [tex]\frac{10}{2}[/tex] , [tex]\frac{10}{2}[/tex] ) = ( 5, 5 )
the graph of y=-3x+ 2 is:
Please help.
Match the graph of the function with the function rule.
The exponential function represented on the graph is defined by the following rule:
[tex]y = 3 \times 2^x[/tex]
What is an exponential function?An exponential function is modeled by:
[tex]y = ab^x[/tex]
In which:
a is the initial value, which is also the y-intercept, that is, the value of y when x = 0.b is the rate of change.From the graph, we get that when x = 0, y = 3, hence the initial value is of a = 3. Then the temporary definition is:
[tex]y = 3b^x[/tex]
Also from the graph, when x = 1, y = 6, hence we can apply to the definition to find b.
[tex]6 = 3b^1[/tex]
3b = 6
b = 2.
Hence the function is:
[tex]y = 3 \times 2^x[/tex]
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Which point is located at (-3, 4)?
Answer:A
Step-by-step explanation:
-3 to the left and up 4
( a^5 ⋅ 2^3 )^3 = ?
Please help and explain.
Answer: [tex]512a^{15}[/tex]
Step-by-step explanation:
[tex](a^5*2^3)^3[/tex]
First, lets solve the inside of the parenthesis
[tex](a^5*8)^3[/tex]
Now, distribute the power of 3 to both terms. Remember taking a power of an exponent is like multiplying them (in this case [tex](a^5)^3=a^{15}[/tex]
[tex]a^{15}*512[/tex]
Simplify
[tex]512a^{15}[/tex]
how many ounces of water must be added 100 oz. of 60% iodine to produce a 55% solution ? round your answer to the nearest hundreth.
Answer:
10 ounces
Step-by-step explanation:
Answer:
9.09 ounces
Step-by-step explanation:
The added water can be calculated by writing an equation for the amount of iodine in the diluted solution.
SetupLet x represent the number of ounces of water added to the 60% solution. The total amount of iodine in the mixture is ...
0.60(100) +0(x) = 0.55(100+x) . . . . . ounces of iodine in the mix
SolutionSimplify the equation:
60 = 55 +0.55x
5 = 0.55x . . . . . . . subtract 55
x = 5/0.55 ≈ 9.09
9.09 ounces of pure water must be added to produce a 55% solution.
Instructions: Find the circumference of the circle and round to the nearest tenth.
Circumference = 43
4 yd.
Answer:
8 pi yd.
Step-by-step explanation:
The circumference of a circle can be calculated as follows:
c = [tex]2 \cdot \pi \cdot r[/tex]
Where r is the radius of the circumference.
So in our case:
c = [tex]2 \cdot \pi \cdot 4yd = 8\cdot \pi[/tex] yd.
The circumference of the circle, in the attached image is approximately 25.1 yards.
How to calculate the circumference of the circleTo find the circumference of a circle, you can use the formula:
Circumference = 2 * π * radius
where π = 3.14159.
Given the radius of the circle is 4 yards, the circumference can be calculated as follows:
Circumference = 2 * 3.14159 * 4 yards ≈ 25.13272 yards
Now, rounding to the nearest tenth, the circumference of the circle is approximately 25.1 yards.
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Find the distance between the given points.
R(O, O) and S(6, 8)
Distance =
Answer:
distance = 10
2/7 /(22) = 10
Help me please! I’ll make you a brainlest show you work!!
The solution to the following mathematical problems are;
5² -3⁴ / (2³-5)(6² ÷ 9) = - 14/320² ÷ {3(5-9)² + 2} = 884/12 + (5-7)² -72 ÷ 6×2 = -13EvaluationSolve using
BODMAS
B - bracketO - offD - division M - MultiplicationA - additionS - Subtraction5² -3⁴ / (2³-5)(6² ÷ 9)
= 25-81 / (8-5)(36÷9)
= -56 / (3)(4)
= -56/12
= - 14/3
20² ÷ {3(5-9)² + 2}
= 400 ÷ {3(-4)² + 2}
= 400 ÷ {3(16) + 2}
= 400 ÷ (48+3)
= 400 ÷ 50
= 8
84/12 + (5-7)² -72 ÷ 6×2
= 7 + (-2)² - 12 × 2
= 7 + (4) - 24
= 11 - 24
= -13
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