The approximate volume of Sandra's pitcher is 904.78 cubic inches.
What is the volume of a right circular cylinder?Suppose that the radius of considered right circular cylinder be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \pi r^2 h \: \rm unit^3[/tex]
Right circular cylinder is the cylinder in which the line joining center of top circle of the cylinder to the center of the base circle of the cylinder is perpendicular to the surface of its base, and to the top.
We are given that;
For Larry's picture, we have r = 4 inches and h = 13 inches. Substituting these values into the formula, we get:
V = π(4^2)(13)
V ≈ 804.25 cubic inches
Therefore, the approximate volume of Larry's picture is 804.25 cubic inches.
For Sandra's pitcher, we have r = 6 inches and h = 8 inches. Substituting these values into the formula, we get:
V = π(6^2)(8)
V ≈ 904.78 cubic inches
Therefore, the volume of cylinder will be 904.78 cubic inches.
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The complete question is;
Larry has a cylinder shaped pictures that is 13 inches long and radius of 4 inches. Sandra has a cylinder shaped pitcher that is 8 inches long and radius of 6 inches. The volume of Larry’s picture is approximately __. The volume of Sandra’s pitcher is approximately __?
I'll give brainliest if you show your work. Plz answer quickly.
Which two numbers does Square root of 52 lie between on a number line?
7.0 and 7.1
7.1 and 7.2
7.2 and 7.3
7.3 and 7.4
Enter the explicit rule for the geometric sequence. 120, 40, 403, 409, 4027, ...
a(n)=
The explicit rule for the given geometric sequence is [tex]a(n) = 120 \times (1/3)^{n-1}[/tex].
A geometric sequence is a sequence in which each term after the first is found by multiplying the previous term by a constant called the common ratio.
For the given sequence: 120, 40, 40/3, 40/9, 40/27, ... let's determine the explicit rule.
Identify the first term, a:
The first term is 120.
Determine the common ratio, r:
The ratio of any term to the previous term is 40 / 120, which simplifies to 1/3.
Write the explicit rule:
The nth term of a geometric sequence is given by the formula:
[tex]a(n) = a \times r^{n-1}[/tex]
Here, a = 120 and r = 1/3, so the explicit rule is:
[tex]a(n) = 120 \times (1/3)^{n-1}[/tex]
Complete question:
Enter the explicit rule for the geometric sequence. 120, 40, 40 / 3, 40 / 9, 40 / 27, ...
a(n)=
incorrect, 4.3.37
In how many ways can a committee of four
men and three
women be formed from a group of ten
men and six
women?
The measure of an angle is 63 degrees. What is the measure if it’s supplement
The required angle is measured as 117 degrees which it's a supplement, the measure is 63 degrees.
What are supplementary angles?Supplementary angles are defined as angles whose pairings sum up to 180°. Supplementary angles are classified into two categories.
Angles that are adjacent: Supplementary angles are of the type adjacent angles. Adjacent angles share a side and a vertex, such as a corner point. Their points are not in any sense overlapping. In other terms, adjacent angles are pairs of two angles near each other.
We have been given that the measure of an angle is 63 degrees.
To determine the measure if it’s a supplement
We know that supplementary angles whose pairings sum up to 180°
Let the required supplement angle would be x
As per the property of supplementary angles, we can write the equation as:
⇒ x + 63° = 180°
⇒ x = 180° - 63°
⇒ x = 117°
Therefore, the measure of its supplement angle is 117 degrees.
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Need help with this, thanks.
Answer:
13. 27 + 12 = 39
14. 2x+8/2 = 2(x + 4)
15. 8+ 16 = 24
16. 11x=55/11 = 11(x + 5)
17. 24x + 18y/6 = 6(4x + 3y)
18. 16x + 40y/8 = 8(2x + 5y)
19. 10x + 15/5 = 5(2x + 3)
I truly hope that this was helpful.
Which polynomial does this sum of tiles represent?A
Answer:
The polynomial result sum is [tex]2x^{2} +4x+6[/tex]
Step-by-step explanation:
To calculate the sum of the polynomial expressions first we have to write individually each one and sum the terms of it:
Fisrt one: [tex]x^{2} + x + x+ 1 + 1 = x^{2} +2x+2[/tex]
Second one: [tex]x^{2} +x+x+1+1+1+1=x^{2} +2x+4[/tex]
Now having both equations in simplified form we can sum them:
[tex]x^{2} +2x+2+x^{2} +2x+4=2x^{2} +4x+6[/tex]
So the sum of the polynomial equations is: [tex]2x^{2} +4x+6[/tex]
In a scale drawing of an apartment 1 centimeter represents 2 3/4 feet. If the length of the kitchen is 4 1/2 centimeters on the scale drawing, what is the actual length in feet of the kitchen
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 centimeter. And it is also given in the question that 1 centimeter =2 3/4 feet. Thus, If the length of the kitchen is 4 1/2 centimeters on the scale drawing, then the actual value of the length of the kitchen will be:
Length = [tex] 2\frac{3}{4}\times 4\frac{1}{2} = \frac{11}{4}\times \frac{9}{2}=\frac{99}{8} =12\frac{3}{8} [/tex] feet
Which of the following options is a better purchase for a microwave? A. $5 down with equal payments of $10 for 15 weeks B. $10 down with equal payments of $5 for 24 weeks C. $0 down with equal payments of $15 for 9 weeks D. $20 down with equal payments of $10 for 11 weeks
B. $10 down with equal payments of $5 for 24 weeks.
Please explain I don’t know how to do this♀️
A right rectangular prism has a length of 7 centimeters, a width of 5 centimeters, and a height of 4 centimeters. What is the volume of the prism? Enter your answer in the box.
|____|cm³
The volume of the right rectangular prism with dimensions of 7 cm by 5 cm by 4 cm is 140 cubic centimeters (140 cm³).
To calculate the volume of a right rectangular prism, you can use the formula: Volume (V) = length (l) × width (w) × height (h). For a prism with a length of 7 centimeters, a width of 5 centimeters, and a height of 4 centimeters, the volume is calculated as follows:
V = 7 cm × 5 cm × 4 cm
V = 35 cm × 4 cm
V = 140 cm³
So, the volume of the prism is 140 cubic centimeters (140 cm³).
Which of the following are geometric sequences?
(check all that apply)
A. 2,-2,2,-2,2,-2,2
B. 1,4,9,16,25,36,49
C. 10,5,2.5,1.25,0.625,0.1325
D. 1,2,4,8,16,32
Can ya help me I can give ya 20 points please help :)
Answer:
okkkkkkkkkkkkk
Step-by-step explanation:
Find the supplement of an angle that measures 20 degrees.
A) 50 degrees
B) 70 degrees
C) 90 degrees
D) 160 degrees
The supplement of an angle that measures 20 degrees will be 160°. Then the correct option is D.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The one angle is 20 degrees. Then the other angle is given as,
x + 20° = 180°
x = 180° - 20°
x = 160°
The supplement of an angle that measures 20 degrees will be 160°. Then the correct option is D.
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The width of a rectangular garden is 9 feet, and its length is 12 feet. Three of these expressions equal the perimeter of the garden, in feet.
Answer with explanation:
Width of Rectangular Garden = 9 feet
Length of rectangular Garden = 12 feet
Perimeter of any polygon = Sum of length of all sides
Perimeter of Rectangle =Length + Breadth+Length + Breadth
= 2×(Length + Breadth )
= 2 × (12 +9)
= 2 × 21
= 42 feet
So,the expression which will be equal to perimeter of Rectangle =42 feet
a recipe calls for 4 tsp of baking soda and 1 fl oz of vanilla which measurment is greater?
In this problem, you are asked to compare two measurements in different units of measure. The first step to solve this problem is to make the other measurement have the same unit of measure as the other one. You convert 4 tablespoon to fl oz.
1 tsp = 0.5 fl oz
4 tsp = 2 fl oz
Comparing the two measurements, you can conclude that the 4 table spoon (equivalent to 2 fl oz) of baking soda is greater than 1 fl oz of vanilla.
On the first day of a conference, 10 rows of 6 chairs are set out in a meeting room. The second day, in the same room, 3x more rows with 5x more chairs are set out. Which of the following equations could be used to determine the number of chairs set out in the meeting room on the second day?
A. y = (15x^2 + 60) chairs
B. y = (15x^2) chairs
C. y = (15x^2 + 16) chairs
D. y = (15x^2 +68x +60) chairs
Yolanda participated In a walkathon in which each kilometer walked raised $10 for charity, her goal was to raise more more than $300 on Saturday and Sunday she raised $50 on Saturday which inequality is it?
Answer: The required inequality will be 50+x>$300
Step-by-step explanation:
Since we have given that
Amount raised for charity = $10
Amount raised on Saturday = $50
Amount raised on both Saturday and Sunday is more than $300.
Let the amount raised on Sunday be 'x'.
So, Inequality becomes,
Saturday + Sunday > $300
50+x>$300
x>$300-$50
x>$250
So, On Sunday he must raised more than $250.
Hence, the required inequality will be
50+x>$300
What is the area=___
is each expression equivalent to 2x^2 - 50?
a 2(x-5)(x+5)
b -2(x+5)(x+5)
c -2(5-x)(x+5)
Say yes or no for each one
Final answer:
The original expression 2x² - 50 is equivalent to option a) 2(x-5)(x+5) and option c) -2(5-x)(x+5), but not to option b) -2(x+5)(x+5).
Explanation:
The student has asked whether each given expression is equivalent to 2x² - 50.
a) 2(x-5)(x+5): Yes, this is equivalent to 2x² - 50 because when you apply the difference of squares formula, you get 2(x² - 25), which simplifies to 2x² - 50.
b) -2(x+5)(x+5): No, this results in -2(x² + 10x + 25), which simplifies to -2x² - 20x - 50, and is not equivalent to 2x² - 50.
c) -2(5-x)(x+5): No, this expression simplifies to -2(-x² - 5x + 5x + 25) or 2x² - 50, which is actually equivalent to the original expression. The negative sign inside the parentheses changes the sign of x when multiplied by the outside negative factor, leading to a positive result for the x² term.
You are biking to the park. After 6 minutes, 40% of the distance still needs traveled. How long does it take to bike to the park? Write an equation that represents the percent y of the distance that still needs traveled after x minutes.
An equation is y= ___ It takes minutes to bike to the park.
It takes ____ minutes to bike to the park.
SOLVE FOR BLANKS
Final answer:
The student takes 10 minutes to bike to the park. The equation representing the percent of the distance still to be traveled after x minutes is y = 100 - 10x.
Explanation:
To solve for the total time it takes to bike to the park, we need to consider that after 6 minutes, 40% of the distance still needs to be traveled. This implies that in those 6 minutes, the student has completed 60% of the journey. If 6 minutes represent 60%, we can find the time representing 100% of the journey (the total time to bike to the park) by setting up a proportion where x is the total time.
60% of x = 6 minutes
(0.60)x = 6
x = 6 / 0.60
x = 10 minutes
Therefore, the equation that represents the percent y of the distance that still needs traveled after x minutes is y = 100 - 10x. To verify, after 6 minutes (when x = 6), the equation gives us y = 100 - 10(6), which is y = 100 - 60, and that equals 40%. This matches the initial condition that 40% of the distance is left at that point.
It takes 10 minutes to bike to the park.
Claire's backyard is in the shape of a rectangle and has a length of 19.5 feet it cost her 945 to fence in the yard if fencing costs 15 per foot what is the width of Claire's backyard
If Claire's backyard is in the shape of a rectangle and has a length of 19.5 feet it cost her 945 to fence in the yard if fencing costs 15 per foot, then the width of Claire's backyard would be 12 feet.
To find the width of Claire's backyard, we'll first calculate the perimeter of the rectangle using the given length and the total cost of fencing. Then, we'll use the perimeter to find the width.
The perimeter of a rectangle is given by the formula:
[tex]\[ \text{Perimeter} = 2 \times (\text{Length} + \text{Width}) \][/tex]
Given that the length of Claire's backyard is 19.5 feet and the total cost of fencing is $945 at $15 per foot, we can calculate the perimeter using the cost of fencing:
[tex]\[ \text{Perimeter} = \frac{\text{Total cost}}{\text{Cost per foot}} \][/tex]
[tex]\[ \text{Perimeter} = \frac{945}{15} = 63 \text{ feet} \][/tex]
Now, we'll use the perimeter formula to find the width:
[tex]\[ 63 = 2 \times (19.5 + \text{Width}) \][/tex]
Divide both sides by 2:
[tex]\[ 31.5 = 19.5 + \text{Width} \][/tex]
Subtract 19.5 from both sides:
[tex]\[ \text{Width} = 31.5 - 19.5 = 12 \text{ feet} \][/tex]
So, the width of Claire's backyard is 12 feet.
The complete question is:
Claire's backyard is in the shape of a rectangle and has a length of 19.5 feet it cost her 945 to fence in the yard if fencing costs 15 per foot what is the width of Claire's backyard
The figures shown are similar. What is the scale factor? Diagram contains two trapezoids. The first has a base of 21. The second has a base of 14.
how to answer 6x+19x+4=2x-1 with the quadratic formula
The scatter plot shows the relationship between the weekly hours spent on social media and the weekly hours spent reading, by the students of a middle school:
What is the y-intercept of the line of best fit and what does it represent?
6 hours; the number of hours students read when they do not spend time on social media
6 hours; the number of hours students spend time on social media when they do not read
8 hours; the number of hours students read when they do not spend time on social media
8 hours; the number of hours students spend time on social media when they do not read
Answer:
The correct answer is - 8 hours; the number of hours students spend on social media when they do not read.
Step-by-step explanation:
The y intercept is marked as hours spent on social media.
So, the answer is :
8 hours; the number of hours students spend on social media when they do not read.
solve for x: A=2xy what is the answer
There are 136 people waiting for a river raft ride.Each raft holds 8 people Silvia
Please answer 2 3 4 and explain how you got your answer I will give brainliest must explain for all 3
The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations).
Answer:
A=16(pi-2),p=4(2 sqrt2+pi)
Step-by-step explanation:
rewrite the radical in exponential form
I'll give brainliest if you show your work. Plz hurry.
Which statements are true? Check all that apply.
A square root of 1.8<1.8 (This 1.8 is not Square root)
A square root of 1.8>1 (This 1 is not a Square root)
A square root of 1.8< 1.9 (This 1.9 IS IS IS a square root)
1.3
A square root of 1.9+ the square root of 1.8>2
A square root of 1.9- the square root of 1.8>0.1
Answer:
Step-by-step explanation:
Given are some statements and we have to check which are true
I) True since [tex]\sqrt{1.8} =1.341<1.8[/tex]
2) True since [tex]\sqrt{1.8} =1.341>1[/tex]
3) True [tex]\sqrt{1.8} =1.341<\sqrt{1.9}[/tex]
4) True since [tex]\sqrt{1.9} +\sqrt{1.8} \\=1.378+1.341\\=2.719>2[/tex]
5) False since
[tex]\sqrt{1.9} -\sqrt{1.8} =1.378-1.341\\=0.037<0.1[/tex]
Answer:
1234
Step-by-step explanation: