Answer:
ADB=72˚. base angles in an isosceles triangle are equal
72+72=144 180-144=36 BAD=36 ˚Angles in a triangle =180˚
180-72=108˚ BDC=108˚ angles on a straight line=180˚
Step-by-step explanation:
only three marks for this one
By exploiting the properties of isosceles triangles and the sum of angles in a triangle, we deduce that triangle BCD is isosceles with BC = BD.
Explanation:The student is asking how to prove that triangle BCD is isosceles given that triangles ABC and ABD are also isosceles with AB = BC and AB = AD, respectively, and angle ABD = 72 degrees. We can begin by noting that the sum of the angles in any triangle is 180 degrees. Because triangle ABD is isosceles with AB = AD, the angles ABD and ADB are equal, and since angle ABD is 72 degrees, angle ADB is also 72 degrees. Therefore, angle BAD, the remaining angle in triangle ABD, must be 180 - 72 - 72 = 36 degrees.
Since triangle ABC is also isosceles with AB = BC, angles ABC and BAC are equal. Angle BAD is part of angle BAC, which means angle BAC is also 36 degrees (since they both include angle BAD). Consequently, angle ABC is 36 degrees. The base angles of an isosceles triangle are equal, so angle BCA must also be 36 degrees. Because ABC is isosceles with AB = BC, and we have determined that angles ABC and BCA are equal, we conclude that angles BCD and CBD must also be equal, making triangle BCD isosceles, with BC = BD.
Learn more about Isosceles Triangles here:https://brainly.com/question/2456591
#SPJ3
Describe the Distributive Property and give an example of how it works.
The cost in dollars, y, of a large pizza with x toppings from Pat’s Pizzeria can be modeled by a linear function. A large pizza with no toppings costs $14.00. A large pizza with 2 toppings costs $17.50. What is the cost of a pizza with 5 toppings? Round to the nearest penny. a. $19.00 b. $22.75 c. $43.75 d. $70.00
Answer: b. $22.75
Step-by-step explanation:
Given : A large pizza with no toppings costs $14.00. A large pizza with 2 toppings costs $17.50.
Let x denotes the number of toppings and y be the cost of that pizza.
Then, [tex]y=mx+c[/tex] , m= cost per topping and c= cost of pizza without any topping.
From the given information.
c= $14
Function of cost becomes = [tex]y=mx+14[/tex]
For x= 2 and y= 17.50, we have
[tex]17.50=m(2)+14[/tex]
tex]3.50=m(2)[/tex] [Subtract 14 from both sides]
[tex]m=\$ 1.75[/tex] [Divide both sides by 2]
For c= 14 and m =1.75 , our function becomes.
[tex]y=1.75x+14[/tex]
Now, for x= 5
[tex]y=1.75(5)+14=8.75+14=22.75[/tex]
Hence, the cost of a pizza with 5 toppings = $22.75
Lauren is ordering a taxi from an online taxi service. The taxi charges $2 just for the pickup and then an additional $1.50 per mile driven. How much would a taxi ride code if Lauren is riding for 8 miles? How much would a taxi ride cost that is m?
Answer:
It costs Lauren 14 dollars to ride 8 miles
Step-by-step explanation:
The equation for the price of the taxi ride is
y= 1.5x+2
where y is the price, and x is the number of miles driven. Lauren needs to ride 8 miles, so the price of her taxi ride is
y= 1.5*8 +2 =12+2=14
The side length of a square is increased by 50%. By what percent is the area increased?
Answer:
125%
Step-by-step explanation:
In this kind of question, we could choose any arbitrary value for the length of the side of the square.
Let’s say the square is 10m in length, a 50% increase in the length means we add 5 to the original length making the new length to be 15m.
The area of a square is L^2
The former area is 10 * 10 = 100 while the new area is 15 * 15 = 225
The percentage increase is calculated as follows:
We simply subtract the old from the new to yield 225 - 100 = 125
The percentage increase would now be :
125/100 * 100 = 125%
any help appreciated <333
Answer:
A. 67°
Step-by-step explanation:
Since AC is tangent to the circle, ∠C must be 90°.
You know all angles of a triangle should add up to 180°, so with A given as 23°, that leaves 180-90-23 = 67° for O.
In the figure below, the line / || line m. If the measure of <1=125° and the measure of <7=50°, then what is the measure of <5°
Answer:
∠5 = 55°
Step-by-step explanation:
Since l and m are parallel lines, then ∠5 and ∠1 are same- side interior angles and are supplementary, thus
∠1 + ∠5 = 180°, that is
125° + ∠5 = 180° ( subtract 125° from both sides )
∠5 = 55°
Answer:
55 degrees.
Step-by-step explanation:
m < 2 = 180 - 125 = 55 degrees (adjacent angles).
m < 5 = m < 2 (alternate angles).
Therefore m < 5 = m < 2 = 55 degrees.
what is the maximum number of sections into which a circle may be divided into by drawing four straight lines?
Answer:
11 sections
Step-by-step explanation:
This problem is called the circle cutting or pancake cutting problem.
Let the number of cuts or divisions by straight line = n
With this information it is possible to calculate any number of pieces or section a circle will be divided into what straight lines are drawn (cut) across the circle.
When a straight line is drawn across the circle, it divides the circle into 2 sections or regions. The nth straight lines will divide the circle into n new sections or regions, so the progression is;
f(1) = 2
f(2) = 2 + f(1)
f(3) = 3 + f(2)
.
.
.
f(n) = n + f(n-1)
Therefore,
f(n) = n + [(n-1) + f(n-2)}
= n + n-1 + ... + 2 + f(1)
= f(1) + ∑[tex]_{i = 2}^{n}[/tex]i
= [tex]2 + \frac{1}{2} (n + 2) (n - 1)[/tex]
= [tex]\frac{1}{2}(n^{2} + n + 2)[/tex]
When n = 4
= [tex]\frac{1}{2}(4^{2} + 4 + 2)[/tex]
= 22/2
= 11 sections
If an individual earns an annual salary of $100,000 and invests $10,000 in a 401k, what will be the employee's taxable income?
$110,000
$10,000
$100,000
$90,000
Answer:
90k
Step-by-step explanation:
Taxable income is calculated by subtracting certain eligible deductions from gross income. In this scenario, a $10,000 investment in a 401k reduces the individual's taxable income from a $100,000 salary to $90,000.
Explanation:When determining taxable income, it's important to subtract certain eligible deductions from the gross income. In this case, the individual earns a salary of $100,000 and invests $10,000 in a 401k plan. This investment is a pre-tax contribution, which means it lowers the amount of income that is subject to tax. Therefore, by investing $10,000 into a 401k, the individual's taxable income would be reduced to $90,000. So the correct answer is $90,000.
Learn more about Taxable Income here:
https://brainly.com/question/35512579
#SPJ2
Simon and his niece Marcie are comparing their ages to see if there is a Mathematical connection. They find that Simon is three years more than four times Marcie's age. The sum of their ages is 58.
Answer:
Simon's Age = 47
Marcie's Age = 11
Step-by-step explanation:
The question is to find Simon's age and Marcie's age.
Let Simon's age be x and Marcie's age be y
Simon is 3 years more than 4 times marcie, so we can write:
x = 4y + 3
Also,
Sum of their ages is 58, so we can write:
x + y = 58
or x = 58 - y
Now, we substitute this into 1st equation and solve for y first:
[tex]x = 4y + 3\\58-y = 4y + 3\\58-3=4y+y\\55=5y\\y=\frac{55}{5}\\y=11[/tex]
We know
x = 58 - y
so,
x = 58 - 11
x = 47
So,
Simon's Age = 47
Marcie's Age = 11
Ten slips of paper labeled from 1 to 5 are placed in a hat. The first slip of paper is not replaced before selecting the second slip of paper.
What is the probability of selecting a number less than 3 then a number greater than 4?
3/50
1/15
3/100
1/10
Answer:
The probability of given event = [tex]\frac{1}{15}[/tex]
Step-by-step explanation:
Ten slips of paper labeled from 1 to 10 are placed in a hat. The first slip of paper is not replaced before selecting the second slip of paper.
We have to find the probability of selecting a number less than 3 and then a number greater than 4.
Probability of an event = [tex]\frac{number of favourable events}{total number of events}[/tex]
The probability of selecting number less than 3 = [tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex]
The probability of selecting number greater than 4 = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex]
Total probability = [tex]\frac{1}{5}\times \frac{1}{3}[/tex] = [tex]\frac{1}{15}[/tex]
Given the two vertices and the centroids of a triangle, how many possible locations are there for the third vertex?
Answer:
1
Step-by-step explanation:
The centroid is the average of the coordinates of the three vertices. If you know two vertices (A and B) and the centroid (Q), then the third vertex (C) is ...
C = 3Q -A -B
It has only one possible location.
Given the coordinates of two vertices and the centroid, the third vertex can be located by solving a system of linear equations derived from the centroid's coordinates. This results in only one possible location for the third vertex.
To find the number of possible locations for the third vertex of a triangle given two vertices and the centroid, we need to use the properties of the centroid. The centroid of a triangle is the point where the three medians intersect and it is located 1/3 of the way from each side towards the opposite vertex.
If we denote the vertices of the triangle as (x1, y1), (x2, y2), and (x3, y3), and the centroid as (Gx, Gy), the coordinates of the centroid can be calculated as:
Gx = (x1 + x2 + x3) / 3
Gy = (y1 + y2 + y3) / 3
Since we know the coordinates of the centroid (Gx, Gy) and two vertices (x1, y1), (x2, y2), we can set up the following system of equations:
(x1 + x2 + x3) / 3 = Gx (y1 + y2 + y3) / 3 = Gy
Solving these equations for x3 and y3 gives:
x3 = 3Gx - x1 - x2
y3 = 3Gy - y1 - y2
Therefore, there is only one possible location for the third vertex given the two vertices and the centroid.
The Fun Guys game rental store charges an annual fee of $10 plus $6.50 per game rented. The Game Bank charges an annual fee of $22 plus $3.50 per game. For how many game rentals will the cost be the same at both stores? What is that cost?
Step-by-step explanation:
solve it through simultaneous equations
for fun guys : 10+6.5x=y
for game bank : 22+3.5x=y
10+6.5x=22+3.5x
3x=12
x=4
cost is same when game rentals =4
that cost= $36
For 4 games both the game stores charges the same, which is $36.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Fun Guys game rental store charges an annual fee of $10 plus $6.50 per game rented.
Let the number if games be x.
So, total cost =10+6.50x
The Game Bank charges an annual fee of $22 plus $3.50 per game.
So, total cost =22+3.50x
Game rentals will the cost be the same at both stores
Then, 10+6.50x=22+3.50x
6.50x-3.50x=22-10
3x=12
x=4
Total money fun Guys game rental store charges 10+6.50x=36
Therefore, the same money charged by both stores is $36.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Willis tower in Chicago is 1450 feet tall. The John Hancock Center in Chicago is 1127 feet tall. Suppose you are asked to build a small-scale replica of each. If you make the Willis Tower 3 meters tall, what would be the approximate height of the John Hancock replica? Round you answer to the nearest hundredth.
The approximate height of the John Hancock replica is 2.33 meters.
Given that;
Willis Tower in Chicago is 1450 feet tall.
And, The John Hancock Center in Chicago is 1127 feet tall.
Let us assume that,
The approximate height of the John Hancock replica = x
Hence by using the definition of proportion, we get;
1450/3 = 1127/x
Cross multiplication,
1450x = 1127 × 3
x = 2.331
Round to the nearest hundredth;
x = 2.33
Thus, The approximate height of the John Hancock replica is 2.33 meters.
To learn more about the proportion visit:
https://brainly.com/question/1496357
#SPJ12
Reese went cycling in the morning .The ratio of her distance in miles to the length of time in minutes was 15:60 tease concluded that she rode at an average speed of 4 miles per minute is she correct or not ?
Answer:
No, she is not correct as her speed is 0.25 miles per minute.
Step-by-step explanation:
Given:
Ratio of distance to time taken is 15 : 60.
Distance is in miles and length of time is in minutes.
We know that, average speed is given as the ratio of the distance traveled and the length of the time taken.
So, the ratio above is nothing but the average speed of Reese for cycling.
Thus, average speed of Reese is given as:
[tex]\textrm{Average speed}=\frac{Distance}{Time}\\\\\textrm{Average speed}=\frac{15}{60}\ miles\ per\ min\\\\\textrm{Average speed}=\frac{1}{4} = 0.25\ miles\ per\ min[/tex]
Therefore, the average speed of Reese is 0.25 miles per minute which is not equal to the one mentioned by Reese as 4 miles per minute.
So, Reese conclusion of her average speed is incorrect. It's not 4 but the reciprocal of 4 which is 0.25 miles per minute.
5(-6-3d)=3(8+7d)(if there is no solution,type in ''no solution'')d= Answer
In this question, you're solving for d.
Solve for d:
5(-6 - 3d) = 3(8+7d)
Use the distributive property:
-30 - 15d = 3(8+7d)
-30 - 15d = 24 + 21d
Add 30 to both sides:
-15d = 54 + 21d
Subtract 21d from both sides
-36d = 54
Divide both sides by -36
d = -3/2
Answer:
d = -3/2 or -1.5
Answer:
d = -1.5
Step-by-step explanation:
5 (- 6 - 3d) = 3 (8 + 7d)
- 30 - 15d = 24 + 21d
- 15d - 21d = 24 + 30
- 36d = 54
- d = 54/36
- d = 1.5
d = -1.5
There is a bag filled with marbles: 5 red, 8 blue, 4 yellow, and 3 green.
You want to draw a red then a blue marble. Do you have a better chance of drawing a red then a blue marble with or without replacing the first marble? Explain your answer.
please give an explanation. i seriously don't understand this question. have a wonderful day and happy holidays!
Answer:
Step-by-step explanation:
total marbles=5+8+4+3=20
when he is drawing without replacing means red marble is drawn from 20 marbles.
Blue marble is drawn from 19 marbles.
when he is drawing with replacing means he draws one red marble from 20 marbles.Then he replaces it and draws blue marble from 20 marbles also.
We have a better chance of drawing a red and then a blue marble without replacing the first marble.
What is probability?It is the ratio that shows the likelihood of a particular event happening from when many other events could also happen.
The total number of marbles = 5 + 8 + 4 +3
= 20 marbles.
P( Drawing a red marble ) = 5/20
Now draw a blue marble:
With replacement:Total marbles = 20
P( Drawing a blue marble ) = 8/20
Joint probability = 5/20 * 8/20
= 0.1
Without replacement:Total marbles = 19
P( Drawing a blue marble ) = 8/19
Joint probability = 5/20 * 8/19
= 0.105
This means that there is a higher probability of drawing a blue marble after a red marble without replacement.
Thus we have found that we have a better chance of drawing a red and then a blue marble without replacing the first marble.
Learn more about probability here: https://brainly.com/question/14207604
#SPJ2
Explain how to find n, the number of copies the machine can print in one minute. I need an algebraic expression for the answer.
Once the first part is done, I need help with this question.
Working at the same rate, how long will it take the machine to print 5,200 copies? Explain how you found your answer.
Answer:
It will take 80 minutes!
Step-by-step explanation:
From the table we see that in 5 minutes we get 325 copies.
This means in one minute we get [tex]$ \frac{325}{5} $[/tex] = 65 copies.
So, assume we get 5200 copies in 'x' minutes.
So, we form the equation.
i.e., 65x = 5200
⇒ x = 80
This means it would take 80 minutes to get 5200 copies.
A total of 300 trees will be planted in a park, for every two pine trees there will be 3 maple trees what is the number of pine and maple trees that were planted in the park?
Step-by-step explanation:
Total number of trees = 300
Given that for every two pine trees there will be 3 maple trees.
Let 2t be the total number of pine trees.
Then total number of maple trees is 3t.
Total number of trees = 2 t + 3 t = 5 t
That is
5t = 300
t = 60
Total number of pine trees = 2t = 2 x 60 = 120
Total number of maple trees = 3t = 3 x 60 = 180
There are 120 pine trees and 180 maple trees.
A diver dives from a 10m springboard. the equation f(t) = -4.9t² + 4t + 10 models her height above the pool at time t. When will she be at her highest?
Answer:
At time t = 0.408 sec diver will be at maximum height
Step-by-step explanation:
We have given equation of the height [tex]f(t)=-4.9t^2+4t+9[/tex]
We know that velocity is the rate of change of distance with respect to time
So [tex]v=\frac{df(t)}{dt}=\frac{df(-4.9t^2+4t+10)}{dt}=-9.8t+4+0=-9.8t+4[/tex]
At maximum height velocity will be zero
So [tex]-9.8t+4=0[/tex]
t = 0.408 sec
So at time t = 0.408 sec diver will be at maximum height
Two trains leave stations 384 miles apart at the same time and travel toward each other. One train travels at 70 miles per hour while the other travels at 90 miles per hour. How long will it take for the two trains to meet? Do not do any rounding.
Answer:
2.4 hours
Step-by-step explanation:
Distance = rate * time
One train travels at a rate of 70 mph for t hours. This means that the distance it travels is 70t.
The other train travels at a rate of 90 mph for t hours. This means that the distance it travels is 90t.
The total distance they cover together is equal to 384 miles; therefore,
70t + 90t = 384 and
160t = 384 so
t = 2.4 hours
1.
A rectangular swimming pool is represented by x as the width and one less than twice the width as the length. If the area of the swimming pool is given by 28 sq. ft., which equation could be used to model the area of the swimming pool?
A) 28 = 2x - 1•x
B) 28x = 2x - 1
C) 28 = (2x - 1) + (x)
D) 28 = (2x - 1)(x)
Answer:
C. 28 = (2x - 1)(x)
Step-by-step explanation:
There is a rectangular swimming pool.
Width of swimming pool is x
Length is one less than twice the width
Area of the swimming pool is 28 sq ft.
To Find : Equation could be used to model the area of the swimming pool.
Solution:
Since we are given that Length is one less than twice the width.
And width is x (given)
So, length = 2x-1
Area of the swimming pool is 28 sq ft.
Now ,
Formula of area of rectangle : Length*Width
⇒28= (2x-1)(x)
So, equation used to model the area of the swimming pool: 28= (2x-1)(x)
Hence Option c is correct.
Answer:
28=(2x-1)(x)
Step-by-step explanation:
The swimming pool is rectangular in shape.
Hence the area of it is given by:
l * w
where l = length of the rectangular swimming pool
w = width of the rectangular swimming pool
In this question it is given:
width = w = x
length = l = 2x - 1
Area = 28 sq.ft
Hence:
Area = l * w = (2x-1)(x)
28 = (2x-1)(x)
Only the top! The first three questions! Help pleAseee!!
Answer:
Step-by-step explanation:
1.
3a+7=4a
a=7
2b=b+11
b=11
2.
y=101°
101+x=180
x=180-101=79°
3.
x+6=11
x=11-6=5
y-7=10
y=10+7=17
Maria drove from Los Angeles (elevation 330 feet) to Death Valley (elevation –282 feet). What is the difference in elevation between Los Angeles and Death Valley?
Answer:
612 feet
Step-by-step explanation:
LA is located at 330 feet ABOVE SEA LEVEL
Death Valley is located 282 feet BELOW SEA LEVEL
We let the sea level be at 0 (consider a number line).
So,
LA would be at +330 feet
and
Death Valley would be at -282 feet
The elevation change between the two would be the difference:
330 - (-282) = 330 + 282 = 612 feet
The difference in elevation = 612 feet
Answer:
D
Step-by-step explanation:
Paul's income is 40% less than Rex's income, Quentin's income is 20% less than Paul's income, and Sam's income is 40% less than Paul's income. If Rex gave 60% of his income to Sam and 40% of his income to Quentin, Quentin's new income would be what fraction of Sam's new income?
(A) 11/12
(B) 13/17
(C) 13/19
(D) 12/19
(E) 11/19
Answer:
Ratio of Quentin new income to Sam new income is [tex]\frac{11}{12}[/tex]
So option (a) will be correct option
Step-by-step explanation:
Let Rex income is 100
Then Paul income is 40 % less than Rex income 100 - 100×0.4 = 100-40 = 60
And Quentin's income is 20 % less than Paul income
So Quentin's income is 60 - 60×0.2 = 60-12 = 48
Sam income is 40% less than Paul income
So Sam income = 60 - 60×0.4 = 60 - 24 = 36
Now Rex give 60% income Sam
So Sam new income = 36 + 100×0.6 = 60+36 = 96
And Rex give 40% of his income to Quentin's
So Quentin's new income = 48 + 100×0.4 = 40+48 = 88
Now ratio of Quentin's new income to the Sam new income [tex]=\frac{88}{96}=\frac{11}{12}[/tex]
So option (a) will be correct answer
A researcher reports that there is no consistent relationship between grade point average and the number of hours spent studying for college students. The correlation between grade point average and the number of hours studying is an example of __________.(A) a positive correlation(B) a negative correlation(C) a correlation near 0(D) a correlation near 1
Answer:
C
Step-by-step explanation:
Since there is no relationship between the two , there exists no correlation between them.
This is simply because the effect of one is not felt on the other
A square and a circle intersect so that each side of the square contains a chord of the circle equal in length to the radius of the circle. What is the ratio of the area of the square to the area of the circle? Express your answer as a common fractin in terms of Pie.
Answer:
Step-by-step explanation:
it is given that Square contains a chord of of the circle equal to the radius thus from diagram
[tex]QR=chord =radius =R[/tex]
If Chord is equal to radius then triangle PQR is an equilateral Triangle
Thus [tex]QO=\frac{R}{2}=RO[/tex]
In triangle PQO applying Pythagoras theorem
[tex](PQ)^2=(PO)^2+(QO)^2[/tex]
[tex]PO=\sqrt{(PQ)^2-(QO)^2}[/tex]
[tex]PO=\sqrt{R^2-\frac{R^2}{4}}[/tex]
[tex]PO=\frac{\sqrt{3}}{2}R[/tex]
Thus length of Side of square [tex]=2PO=\sqrt{3}R[/tex]
Area of square[tex]=(\sqrt{3}R)^2=3R^2[/tex]
Area of Circle[tex]=\pi R^2[/tex]
Ratio of square to the circle[tex]=\frac{3R^2}{\pi R^2}=\frac{3}{\pi }[/tex]
The entry fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5000 is collected. The number of children attended the fair is___________.
Answer:
The number of children attended the fair is 1520.
Step-by-step explanation:
We are given the following in the question:
Entry fee foe children = $1.50
Entry fee foe adult = $4.00
Total number of people in fair = 2200
Total money collected = $5000
Let x be the number of children and y be the number of adults in the fair.
Then, we can write the following equations:
[tex]x + y = 2200\\1.5x + 4y = 5000[/tex]
Solving the two equations, we have:
[tex]1.5x + 1.5y = 3300\\1.5x + 4y = 5000\\\Rightarrow 2.5y = 1700\\y = 680\\x = 2200-680 = 1520[/tex]
Thus, there were 1520 children and 680 adults in the fair.
First three need to be checked and last one needs to be answered.
If you cant see the attachments plz wait
Answer:
correctcorrectcorrectx + y = 4Step-by-step explanation:
1. Obviously, the figure is rotated CCW by 90°. If the center of rotation were the center of the figure, the image would be in the same quadrant as the pre-image. It is in the quadrant located 90° CCW from the original, so the center of rotation must not be the center of the image. That leaves one viable answer choice.
__
2. The line joining a point and its reflection is always perpendicular to (and bisected by) the line of reflection.
__
3. The theorem tells you a point on the perpendicular bisector is equidistant from the endpoints of the segment bisected. If the surveyor is to apply that theorem, he needs a point equidistant from the original two stakes.
__
4. The square has four (4) lines of symmetry: through the parallel side midpoints, and through opposite vertices. The corresponding lines would be ...
x=2y=2x=yx+y=4 . . . . . on your answer listThe appropriate choice is ...
x + y = 4
Triangle A B C is cut by line segment S T. Line segment S T goes from side A B to side C B. Lines S T and A C are parallel. The length of S B is 10 feet, the length of B T is 9 feet, and the length of C T is 2.7 feet. What is the length of Line segment S A? a) 1.89 ft b) 2.43 ft c) 3 ft d) 7 ft.
Answer:
Option C.
Step-by-step explanation:
Given information: In triangle ABC, ST║AC, SB=10 ft, BT=9 ft and CT=2.7 ft.
Triangle proportionality theorem: If a line segment parallel to a side of a triangle then the line segments divides the remaining sides proportionally.
Using triangle proportionality theorem we get
[tex]\dfrac{SA}{SB}=\dfrac{CT}{BT}[/tex]
[tex]\dfrac{SA}{10}=\dfrac{2.7}{9}[/tex]
On cross multiplication we get
[tex]9\times SA=2.7\times 10[/tex]
[tex]9SA=27[/tex]
Divide both sides by 9.
[tex]SA=3[/tex]
The length of SA is 3ft.
Therefore, the correct option is C.
Answer: C on edg.
Step-by-step explanation:
Explain how probability can be used to help a sales person forecast future sales.
Answer with explanation:
A salesperson can use probability to get an idea of his business as using probability he can estimate his sale of the next month as well, based on the present and previous months sales.
It can help him sort issues or errors he is facing in his business as he will get a complete idea of his business using probability.
Moreover, he can forecast future sales by using a technique which involves assigning percentages or weighting benchmarks in sales cycle, so that he can estimate the expected revenue generated.
For example:
A supermarket sales person can assign probabilities to benchmarks in sale cycle as providing needs analysis (25 % probability), adding new product (50%Probability) , Remove a product ( 75 % probability), closing sale (100% Probability) . If these probabilities are large, then forecast model can be objective.
_____________________________________________________
So just like that by assigning probabilities to benchmarks, a sales person can forecast future sales
Answer:
Probability can be used to help a sales person forecast future sales best my showing the likelihood of a certain event occurring. The sales person can then plan around the events that are deemed to be the most likely to occur.
Explanation:
100%Attempt 1 Complete