To find the volume of water needed to fill the pool to a depth of 2m, use the formula for the volume of a cylinder.
Explanation:To determine the volume of water needed to fill the circular pool to a depth of 2m, you can use the formula for the volume of a cylinder:
V = πr²h
Given that the pool is circular, h = 2m, and to the nearest cubic meter, you would need:
Volume of water = π( r )²( 2 )
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
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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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
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
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 each room
Find the total area for the cylinder with the given measurement. r = 2, h = 4 16 square units 20 square units 24 square units
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]
Find the area of a circle with a diameter of 8.
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?
PLEASE HELP!
Drag a reason to each box to complete this proof.
If 5x-4+13=5 , then x=1/2
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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Find the distance represented by 2.6 in. if the scale 1 in. = 50 mi. is used.
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.
Shortest distance from the base of parallelogram to its opposite side is the
This is flipping an image over the y-axis. The coordinates change from (x, y) to (-x, y).
what are the solutions to 6x^2 - 5x - 4 = 0
Answer:d
Step-by-step explanation:
Two numbers are in the ratio of 2 to 3 if the smaller number is 18 the lager number is ___ 21 27 36 54
Oz= 1 c please help with this question
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
The Answer to the problem is B. 920 ft 2
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.
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.
if ABC and GEF are congruent by the ASA criterion, which pair of angles must be congruent
The pair of angles that must be congruent for the given pair of congruent triangles are ∠CAB and ∠GEF.
The ASA criterion states that two triangles are congruent if two angles and the included side of one triangle are equal to the two angles and the included side of the other triangle.
In the figure, we have:
∠ABC = ∠GEF (given)
∠ACB = ∠EGF (included angles)
AC = EG (included side)
Therefore, by the ASA criterion, triangles ABC and GEF are congruent.
The other possible pairs of congruent angles are:
∠ACB and ∠FEG
∠CAB and ∠EGF
∠ABC and ∠GFE
However, none of these pairs of angles are included angles.
Therefore, the only pair of congruent angles that must be congruent is ∠CAB and ∠GEF.
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The above question is incomplete, the complete question is:
if ABC and GEF are congruent by the ASA criterion, which pair of angles must be congruent
Attached figure.
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?
the perimeter of an equilateral triangle is 63 inches. if the length of each side is (4x-3), find the value of x
REALLY NEED HELP ANYONE?
If f(x) = 4^x then which of the following is the value of f (-2)?
100 POINTS PLEASE 1. Yared and Luke are wrapping presents. Yared is able to wrap presents at a constant rate of 3 presents every 15 min. Luke is able to wrap presents at a constant rate of 5 presents every 20 min. Each boy has 20 presents to wrap, and the boys started wrapping presents at the same time. (a) How many presents will Yared still need to finish wrapping when Luke has finished wrapping all 20 of his presents? Explain. (b) What percent of his presents will Yared still need to wrap when Luke has finished wrapping presents? Explain.
2. A researcher collected data about the favorite car color of a particular population. He asked 250 people about their favorite vehicle color and the survey revealed the following: 32% of people said blue, 24% of people said white, 20% of people said red, 18% of people said black, and 4% of people said silver.
(a) How many people said their favorite vehicle color was red? Explain.
(b) How many more people said their favorite vehicle color was blue compared to those who said white? Explain.
(c) How many people said their favorite vehicle color was either black or silver? Explain.
3. Haruto was the starting pitcher for his baseball team. In his last two games, the coach kept a close eye on the number of pitches, balls, and strikes he threw.
(a) In the first game recorded, the coach wrote 60%, or 54 pitches, were strikes. Find the total number of pitches Haruto threw in this game.
(b) In the second game recorded, the coach recorded 40%, or 34 pitches, were balls. Find the number of strikes and the total number of pitches he threw in this game.
Answer:
Yared takes 15 minutes to wrap 3 presents, and Luke takes 20 minutes to wrap 5 presents.
I divided 15 by 3 to get 5, and did the same with Luke, and I got 4. Both boys have a total amount of 20 presents to wrap, so I multiplied 5 by 20, to get 100, and I multiplied 4 by 20, and got 80.
I subtracted 100 by 80, and got a 20. Since I am finding information for Yared, I’m going to use 5, I divided 20 by 5, and got 4.
(b) Yared still needs to wrap 20% of his presents when Luke has finished wrapping presents.
Since the total amount of
presents to wrap is 20, I divided that by the total amount of presents that
Yared still needs to finish wrapping, which is 4. 4 divided by 20 is 0.2, and I
multiplied 0.2 by 100, 100 is the whole, and I got 20.
2. (a) 50 people said their favorite color was red.
Since there is 250 people in total, I used the percentage of the color red, which is 20%, and multiply it by 250. 20 divided by 100 is 0.2, and I multiply 0.2 by 250, which got me 50.
(b) The number of strikes and the total number of pitches he threw in this game is 80 total pitches.
Hoped I helped!
Answer:
so have I
1. (a)Yared will still need to finish wrapping 4 presents when Luke finished wrapping all of his own presents.
Yared takes 15 minutes to wrap 3
presents, and Luke takes 20 minutes to wrap 5 presents.
I divided 15 by 3 to get 5, and
did the same with Luke, and I got 4. Both boys have a total amount of 20
presents to wrap, so I multiplied 5 by
20, to get 100, and I multiplied 4 by 20, and got 80.
I subtracted 100 by 80, and got a
20. Since I am finding information for
Yared, I’m going to use 5, I divided 20 by 5, and got 4.
(b) Yared still needs to wrap 20%
of his presents when Luke has finished wrapping presents.
Since the total amount of
presents to wrap is 20, I divided that by the total amount of presents that
Yared still needs to finish wrapping, which is 4. 4 divided by 20 is 0.2, and I
multiplied 0.2 by 100, 100 is the whole, and I got 20.
2. (a) 50 people said
their favorite color was red.
Since there is 250 people in total, I used the percentage of the color red, which is 20%, and multiply it by 250. 20 divided by 100 is 0.2, and I multiply 0.2 by 250, which got me 50.
(b) 20 more people said their favorite vehicle color was blue compared to those who said white.I used the same formula as (a). The percentage of blue is 32%, so I divided 32% by 100, and I got 0.32. I multiplied the total amount of people, which is 250, by 0.32, and I got 80. The total amount of people who said they liked blue is 80. The percentage of people who said they like white is 24%, so I divided 24% by 100, and I got 0.24. I multiplied that to 250, and got 60. The total amount of people who said they liked white is 60. I subtracted 80 to 20, to get 20.
(c) 45 people said their favorite vehicle color was black. I divided 18 by 100, and got 0.18. I multiplied 0.18 by 250. I got 45.
3. (a) The total number of pitches Haruto threw in this game is 90 pitches.
(b) The number of strikes and the total
number of pitches he threw in this game is 80 total pitches.
Hoped I helped!
Simplify the following and write your answer in simplest form
Is c the correct answer
A rectangular horseshoe pit is 53 inches long and 32 inches wide. What is the area of the horseshoe pit? in2
A window washer cleaned 38 windows in 2 hours.At this rate, how many windows did he clean in 7 hours?
Help please i need it and you dont have to show your work
Solve for x: 4(x-2)+6=2(5x-6)
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 = 5/30.9 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?
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:
10:100 it equivalent to
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