A right rectangular pyramid is sliced parallel to the base, as shown.
What is the area of the resulting two-dimensional cross-section?
A. 15 cm²
B. 18 cm²
C. 25 cm²
D. 50 cm²
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Related Questions
Find the area of each room
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Bathroom: x(x - 1) = x^2 - x
Closet: (x - 1)(x - 1) = x^1 - x - x + 1 = x^2 - 2x + 1
Kitchen: (2x + 3)(x - 2) = 2x^2 - 4x + 3x - 6 = 2x^2 - x - 6
Bedroom: 15(2x - 1) = 30x - 15
Joanna's parents agree to loan her the money for a car. They will loan her $7,000 for 5 years at 4.5 simple interest. How much will joanna pay interest to ger parents?
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so per year the interest will be (7000*4.5)/100=315
315*5=1575.00 will be the interest in 5 years
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900.
The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week.
What is the slope of the function representing the weekly paycheck amount for Salesman A? Use complete sentences to explain your reasoning, or show your calculations.
What is the slope of the function representing the weekly paycheck amount for Salesman B? Use complete sentences to explain your reasoning, or show your calculations.
What is the slope of the function representing the weekly paycheck amount for Salesman C? Use complete sentences to explain your reasoning, or show your calculations.
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He earns $65 per sale, with a maximum weekly commission of $1,300.
=> p(s) = 65s / p ≤ $1,300. This is the paycheck (p) equal 65 times the number of sales s, with an upper bound of $1,300.
The slope of the function is the coefficient of the the indepent variable s, this is 65.
The slope is the rate of change on the paycheck per unit of sales done (s).
Answer: slope 65.
2) Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale.
p(s) = $300 + 40s
The slope is 40 (the coefficient of the independent variable).
Again, the slope is the increase in the paycheck per unit of sale (s) performed.
Answer: slope = 40
3) Salesman C does not earn any commission. His weekly salary is $900.
p(s) = $900
It turns out that really the paycheck of this salesman is not a function of the number of sales. His/her paycheck is constant. That means that the paycheck does not change with the number of sales, and so the slope is 0.
The function is a horizontal line (slope 0).
Answer: slope 0
Final answer:
Slope of function for Salesman A: 65
Slope of function for Salesman B: 40
Slope of function for Salesman C: 0
Explanation:
Slope of function for Salesman A: The slope of the function representing Salesman A's weekly paycheck is $65 per sale, as he earns $65 per sale. Since the commission is a constant rate per sale, the slope remains constant.
Slope of function for Salesman B: The slope of the function representing Salesman B's weekly paycheck is $40 per sale. This is because he earns $40 per sale, which makes the slope $40.
Slope of function for Salesman C: The slope of the function representing Salesman C's weekly paycheck is 0. Salesman C does not earn any commission, so his weekly salary remains constant at $900, regardless of the number of sales made.
I need help please help me!!!!
Answers
Toni=4
3+4=7
7 / 1/4=28.
Use keep, change, flip.
Keep 7.
Change / to *
Flip 1/4 to 4/1.
Now, you have 7/1 * 4/1=28
Your answer is 28.
Hope this helped☺☺
Rachel is packing up some og her old stuff into a box.A box can hold eight pounds.but she only filled ot up two quarters full.how much weight was in the box
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Since the total weight the box can hold is 8 pounds, and she filled up 2/4:
8 * 2/4 = 4
There were 4 pounds in the box.
Hope this helps!
REALLY NEED HELP ANYONE?
If f(x) = 4^x then which of the following is the value of f (-2)?
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When x = -2
[tex]f(-2) = 4^{-2}[/tex]
[tex]f(-2) = 4^{-2} = \dfrac{1}{16} [/tex]
A line segment has one endpoint on a circle and one endpoint at the center of the circle. What is the segment called?
A. Diameter
B. Radius
C. Chord
D. Arc
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____________________________________________
Simplify the following and write your answer in simplest form
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Find the distance represented by 2.6 in. if the scale 1 in. = 50 mi. is used.
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For the solution of this question we will use a technique called the Unitary Method. In this method we find the value of a single unit, which is 1, and then finding the necessary value by multiplying the single unit value.
In our case we are already given the value of the single unit which is 1 inch. And it is also given in the question that 1 inch = 50 miles. Thus, to find the value in miles 2.6 inches, all that we have to do multiply the single unit value, which is 50 miles, with the value given which is 2.6 inches.
Thus, we have:
If 1 inch represents 50 miles,
then 2.6 inches represents [tex] 2.6\times 50 [/tex] miles=130 miles
Thus, 130 miles is the correct answer.
Melissa is making clothes for her dolls. She has 7/8 yard of fabric. Each doll requires 2/7 of a yard of fabric. How many shirts can she make for her dolls?
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Sophie bikes at a speed of s miles per hour. Her friend Rana is slower, her biking speed is only r miles per hour.
Rana's yesterday's trip was m miles long. How long did Rana bike yesterday?
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Rana's time = m/r . . . . hours
A rectangular horseshoe pit is 53 inches long and 32 inches wide. What is the area of the horseshoe pit? in2
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The figure shows two parallel lines AB and DE cut by the transversals AE and BD:
AB and DE are parallel lines, and AE and BD are transversals. The transversals intersect at C. Angle CAB is labeled 1, angle ABC is labeled 2, angle ACB is labeled 3, angle ACE is labeled 4, angle CDE is labeled 6, and angle CED is labeled 5.
Which statement best explains the relationship between Triangle ABC and Triangle EDC ?
Triangle ABC is similar to triangle EDC , because m∠2 = m∠6 and m∠1 = m∠5
Triangle ABC is similar to triangle EDC , because m∠3 = m∠6 and m∠1 = m∠4
Triangle ABC is congruent to triangle EDC , because m∠3 = m∠4 and m∠1 = m∠5
Triangle ABC is congruent to triangle EDC , because m∠3 = m∠6 and m∠1 = m∠4
Answers
9514 1404 393
Answer:
Triangle ABC is similar to triangle EDC , because m∠2 = m∠6 and m∠1 = m∠5
Step-by-step explanation:
Nothing indicates any triangle sides are congruent, a necessary condition for the triangles to be congruent.
In triangles ABC and EDC, angles 1 and 5 are corresponding. They are "alternate interior angles" with respect to the transversal AE, so are congruent. Angles 2 and 6 are congruent for a similar reason. The vertical angles at C are congruent, so the triangles are similar.
Triangle ABC is similar to triangle EDC , because m∠2 = m∠6 and m∠1 = m∠5.
There are 5 boys and 10 girls in the glee club. Which ratio represents the number of boys in the club to the total number of students in the club?
a. 1/3
b. 1/2
c. 2/3
d. 3/1
Answers
5 : 10 : 5+10
5 : 10 : 15
Boys : Total
5 : 15
5÷5 : 15÷5
1 : 3 ( or 1/3) (Answer A)
If there are 5 boys and 10 girls in the glee club then the ratio which represents the number of boys to the total number of students in the club will be 1/3 which is option a.
What is ratio?Ratio is basically a relationship between two quantities which are expressed in times of another.
How to calculate ratio?Number of boys in the glee club=5
Number of girls in the glee club=10
Total number of students=10+5=15
Ratio=number of boys/total number of students
=5/15
=1/3
Hence the ratio between the boys to total number of students is 1/3.
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0.9 of Karen's Science score is equal to 0.75 of her Math score and 0.8 of her Chemistry score. Given that Karen scored 96 marks for her Math, what was her total score of the 3 subjects?
Answers
You have to formulate equations for this problem.
Let S = Science score
M = Math score
C = Chemistry score
To illustrate the given:
0.9S = 0.75M
0.9S = 0.8C
You are given that Karen’s Math score is 96 marks. You have to substitute the Math score to the first equation.
0.9S = 0.75(96)
0.9S = 72
S = 80
Therefore, Karen’s Science score is 80. Now, you have to substitute the Science score to the second equation.
0.9(80) = 0.8C
0.8C = 72
C = 90
So, Karen’s Chemistry score is 90.
Therefore, the total score of the 3 subjects is 266 (96 + 80 + 90).
Answer:
C 90
Step-by-step explanation:
Help please i need it and you dont have to show your work
Answers
Find the total area for the cylinder with the given measurement. r = 2, h = 4 16 square units 20 square units 24 square units
Answers
Answer: [tex]24\pi\text{ units}^2[/tex]
Step-by-step explanation:
We know that the total surface area of a cylinder is given by :-
[tex]TSA= 2\pi r(r+h)[/tex] , where r = radius and h= height of cylinder.
Given : Height : h= 4 units
Radius = 2 units
Then, the total surface area of the cylinder is given by :-
[tex]TSA= 2\pi 2(2+4)[/tex]
[tex]\Rightarrow\ TSA= 2\pi (12)=24\pi\text{ units}^2[/tex]
Hence, the total area for the cylinder = [tex]24\pi\text{ units}^2[/tex]
Solve for x: 4(x-2)+6=2(5x-6)
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4(x - 2) + 6 = 2(5x - 6) use distributive property
(4)(x) + (4)(-2) + 6 = (2)(5x) + (2)(-6)
4x - 8 + 6 = 10x - 12
4x - 2 = 10x - 12 add 2 to both sides
4x = 10x - 10 subtract 10 from both sides
-6x = -10 divide both sides by (-6)
x = 10/6
x = 5/3Given that the points (-3, 2) and (1, 2) form one leg of a right triangle, which point could be another vertex of the triangle?
A) (7, 2)
B) (-1, 4)
C) (-3, -2)
D) (-1, -2)
Answers
usatestprep.com
The possible vertices of the right triangle are (-3, -2) and (-1, -2).
Option C and D are the correct answer.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The points (-3, 2) and (1, 2) have the same y-coordinate, which means that they lie on a horizontal line.
The distance between these two points is 4 units, which is the length of the leg of the right triangle that they form.
The only way to form a right triangle using these points is to choose a third point on a vertical line passing through one of these two points.
Option B)
(-1, 4) does not lie on a vertical line passing through either of the given points.
Option C)
(-3, -2) lies on a vertical line passing through the point (-3, 2), so it could be a vertex of the right triangle.
Option D)
(-1, -2) lies on a vertical line passing through the point (1, 2), so it could be a vertex of the right triangle.
Therefore,
The possible vertices of the right triangle are (-3, -2) and (-1, -2).
Learn more about triangles here:
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Oz= 1 c please help with this question
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hope this helped :)
alisa202
What is the surface area of the triangular prism shown?
A. 860 ft 2
B. 920 ft 2
C. 1,040 ft 2
D. 760 ft 2
Answers
surface area=2*area of the base+perimeter of base*height
area of the base=b*h/2
b=8 ft
h=15 ft
so
area of triangle=8*15/2-------> 60 ft²
perimeter of base=a+b+c
a=15 ft
b=8 ft
c=?
applying the Pythagoras theorem
c²=a²+b²------> c²=15²+8²------> c²=225+64------> 289
c=√289------> c=17 ft
perimeter=15+8+17=40 ft
height of the prism=20 ft
surface area=2*60+40*20------> 920 ft²
the answer is the option
B. 920 ft 2
The Answer to the problem is B. 920 ft 2
PLEASE HELP!
Drag a reason to each box to complete this proof.
If 5x-4+13=5 , then x=1/2
Answers
Answer:
Combine like terms
Addition property of equality
Division property of equality
Step-by-step explanation:
13x+5x=18x
18x-4=5 negative 4 would become positive and you will as it to 5 to get 9
18x=9 simply divide
The reasons required to complete this question are;
Addition property of equalityCombine like termsDivision property of equalityThis is an equation in which we just need to write the accurate steps on each required side.
We are asked to prove x = 1/2 from 5x - 4 + 13x = 5
Step 1On the statement side, we are given an equation
[tex]5x -4 + 13x = 5[/tex]
On the reason side, we already have our answer as Given
Step 2On the statement side, we have an equation
[tex]18x-4=5[/tex]
On the reason side, we should write down addition property of equality
Step 3
we have an equation
[tex]18x = 9[/tex]
On the reason side, we should write Combine like terms
Step 4
On the statement side, we have an equation
[tex]x = \frac{1}{2}[/tex]
On the reason side, we should write down Division property of equality.
Within the four steps above, we were able to justify and prove how x = 1/2.
The key operations performed are
Addition property of equalityCombine like termsDivision property of equality.Learn more about equations here;
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Is c the correct answer
Answers
1. C
2. C.
3. B
You have all the right answers!
In 1900, there was an Olympic underwater swimming event. The score was calculated by giving one point for each second the swimmer stayed under water and two points for each meter that the swimmer traveled. Charles de Vendeville from France earned a gold medal by staying under water 68.4 seconds while traveling 60.2 meters. How many points did Charles de Vendeville earn to place first? Express the answer to the nearest tenth of a point.
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The points for the swimming event are calculated as :one point for each second the swimmer stayed under water and two points for each meter that the swimmer traveled.
Charles de Vendeville stayed under water for 68.4 seconds.
Points earned for staying under water = 68.4 (1)= 68.4
Vendeville from France travelled 60.2 meters
Points earned for traveling 60.2 meters = 60.2(2)= 120.4
Total points earned = 68.4+120.4=188.8
10:100 it equivalent to
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Find the GCF. 10 is the GCF because it goes into 10 once and 100 ten times. So 10:100 is equivalent to 1:10.
I hope this helps!
A baseball player hits a ball. The table represents a quadratic function that shows how the height of the ball changes over time.
Time (s) Height (ft)
0 5
0.25 8
0.50 9
0.75 8
1.00 5
1.25 0
Select from the drop-down menu to correctly complete the sentence.
The y-coordinate of the vertex represents
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Answer:
the y coordinate of vertex is 9. It represents the maximum height .
Step-by-step explanation:
A baseball player hits a ball. The table represents a quadratic function that shows how the height of the ball changes over time.
Time (s) Height (ft)
0 5
0.25 8
0.50 9
0.75 8
1.00 5
1.25 0
To find the y coordinate of vertex, first we find the vertex point from the given table
after and before x=0.50 the value of y is 8 and it starts decreasing so the vertex point is (0.50,9)
the y coordinate of vertex is 9. It represents the maximum height .
Find the area of a circle with a diameter of 8.
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A window washer cleaned 38 windows in 2 hours.At this rate, how many windows did he clean in 7 hours?
Answers
Because 38/2 *7
what are the solutions to 6x^2 - 5x - 4 = 0
Answers
Answer:d
Step-by-step explanation:
This is flipping an image over the y-axis. The coordinates change from (x, y) to (-x, y).