Answers
Given:
Spinning top is in the shape of a square pyramid.
Side length of the base = 32 mm
Height of the pyramid = 32 mm
To find:
Volume of the spinning top
Solution:
Volume of the square pyramid:
[tex]$V=\frac{1}{3} b^{2} h[/tex]
[tex]$V=\frac{1}{3} \times (32)^{2} \times 32[/tex]
[tex]$V=1024 \times 32[/tex]
[tex]V=10922.66[/tex] cubic millimeter
The volume of the spinning top is 10922.66 cubic millimeter.
Related Questions
Squaring a number and adding one will always produce an even number.
Answers
Answer:
False. Squaring any rational, whole number, will always give you a even number. So if you add one to the number, you will get a odd number.
The statement is false.
What is square?When an integer is multiplied by itself, the resultant number is known as its square number. Basically, a square number is a number that is obtained by the product of two same numbers. In geometry, the area of a square with 'n' as the side length (where n is an integer) is the finest example of a square number.
When an integer is multiplied by the same integer, the resultant number is known as a square number.
examples of square numbers.
-8 × -8 = 6412 × 12 = 144-2 × -2 = 434 × 34 =1156let the number be x.
Squaring a number = x²
adding 1 = x² + 1
let take the number 2
=2² + 1 = 4+ 1 = 5
if we take 3
=3² + 1 = 9+1= 10
so, if the number if odd then the answer will be even otherwise odd.
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URGENT
What is the probability?
Answers
Answer:
Probability = the number of ways of achieving success. the total number of possible outcomes. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail).
Step-by-step explanation:
It’s less then five so all numbers lower then five which is 4 therefore you have the probability of rolling 4 different numbers but u have a 1/4 chance of rolling a 2
Elisha wants to draw a triangle. She starts by drawing a line 15 centimeters long and two angles, 80° and 55°. What will the third angle measure?
A) 45°
B) 55°
C) 70°
D) 80°
Answers
A. 45 is your answer
The third angle is 45°.
Option A is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
The two angles in the triangle are 80 and 55.
Now,
The sum of all the angles in the triangle is 180.
Third angle = x
So,
80 + 55 + x = 180
135 + x = 180
Subtract 135 on both sides.
x = 180 - 135
x = 45
Thus,
The third angle is 45°.
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can someone help me ASAP!!
Answers
Need help!! Show work if possible and no rounded decimals!
Answers
Answer:
the max area is 10 sq. feet
Step-by-step explanation:
Answer:
Q9. a) f(x)= -2x²+40x
b) maximum area= 200 ft²
dimensions= 10ft × 20ft
Q10. 210 bracelets, $3150
Step-by-step explanation:
Please see the attached pictures for the full solution.
For Q9(a), the function is found by multiplying the length and breadth of the garden to find the area.
f(x)=x^2+10 What is the average rate of change of F over the interval [-2,-1]
Answers
Answer: -3
Step-by-step explanation: plug -2 into f(x)=x^2+10 and you get 14, then plug the -1 into that same equation and end up with 11, now you subtract the 11 from the 14 and get 3 but since you subtracted or in other words the number decreased it would be -3
The average rate of change of f(x) over the interval [-2,-1] is 3.
Explanation:To find the average rate of change of f(x) over the interval [-2,-1], we need to calculate the difference in the function values at the endpoints and divide it by the difference in the x-values. Let's substitute the endpoints into the function:
f(-2) = (-2)² + 10 = 4 + 10 = 14
f(-1) = (-1)² + 10 = 1 + 10 = 11
The difference in function values is 14 - 11 = 3, and the difference in x-values is -1 - (-2) = -1 + 2 = 1. Therefore, the average rate of change is 3/1 = 3.
PLEASE HELP!!!!!The volume of a cube is represented by the expression below, where s is the side length of the cube.
s to the power of 3
Find the volume of a plastic cube building block with a side length of 6 centimeters.
A.
72 cubic centimeters
B.
128 cubic centimeters
C.
240 cubic centimeters
D.
216 cubic centimeters
Answers
Answer:
D. 216 cubic centimetres.
Step-by-step explanation:
The answer is D, because 6 to the 3rd power is 216. therefore, if the side length is 6, the answer is 216.
Select the correct answer.
Solve for p.
2p - 29 over 4 = 4
what is the answer?
PLATO
Answers
=(2p - 29)/4= 4
=2p - 29 = 16
=2p = 16+29
=2p = 45
=p= 45/2
= p=22.5
Hope this will help u mate :)
Answer:
p=22.5
Step-by-step explanation:
(4x+3)(2x-5)
Help please 10 points
Answers
Answer:
Step-by-step explanation:
hello :
(4x+3)(2x-5)=0
4x+3=0 or 2x-5=0
x= -3/4 or x=5/2
(4x+3)(2x-5) = 8x²-14x-15
Step-by-step explanation:
Given,
(4x+3)(2x-5)
To find the value of the given multiplication.
Formula
(a+b)(c+d)
= a(c+d)+b(c+d) = ac+ad+bc+bd
Now,
(4x+3)(2x-5)
= 4x(2x-5)+3(2x-5)
= 8x²-20x+6x-15
= 8x²-14x-15
Cooper and his children went into a bakery and where they sell cupcakes for $2.50 each and donuts for $1.50 each. Cooper has $40 to spend and must buy a minimum of 18 cupcakes and donuts altogether. If Cooper decided to buy 7 cupcakes, determine the maximum number of donuts that he could buy.
Answers
Answer:15
15
7 cupcakes=17.5
40-17.5=22.5
donuts are 1.50
22.5 divided by 1.5 is 15
The maximum number of donuts Cooper can buy is 15.
Given that, the cost of cupcakes = $2.50 and the cost of donuts = $1.50.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Let the number of cupcakes be x and the number of donuts be y.
Cooper wans to buy a minimum of 18 cupcakes and donuts altogether
That is, x+y≥18
Cooper has $40 to spend on cupcakes and donuts.
So, 2.50x+1.50y≤40
Cooper decided to buy 7 cupcakes
Then number of donuts will be
2.50(7)+1.50y≤40
⇒17.5+1.50y≤40
Subtract 17.5 on both the sides of a inequality, we get
17.5+1.50y-17.50≤40-17.50
⇒1.50y≤22.5
Divide 1.50 on both the sides of a inequality, we get
1.50y/1.50≤22.5/1.50
⇒y≤15
Therefore, the maximum number of donuts Cooper can buy is 15.
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Raquel and Van live in two different cities. As a part of a project, they each record the lowest prices for a gallon of gas at gas stations around their cities on the same day. Raquel’s data show mean = 3.42 and standard deviation = 0.07. Van’s data show mean = 3.78 and standard deviation = 0.23.
Which statement is true about their gas-price data?
A: Raquel’s data are more likely closer to $3.42 than Van’s data are to $3.78.
B: Van’s data are more likely closer to $3.42 than Raquel’s are to $3.78.
C: Raquel’s data are more likely closer to $3.78 than Van’s data are to $3.42.
D: Van’s data are more likely closer to $3.78 than Raquel’s are to $3.42.
Answers
Answer:
A: Raquel’s data are more likely closer to $3.42 than Van’s data are to $3.78
Step-by-step explanation:
Given that Raquel’s standard deviation is less than Van's standard deviation, then Raquel’s data are more likely closer to Raquel’s mean than Van’s data are to Van's mean.
Answer:
A
Step-by-step explanation:
Raquel’s data are most likely closer to $3.42 than Van’s data are to $3.78.
A farmer has a square lot that is 200 feet on each side. She has a very powerful sprinkler that sprays water in a circle she doesn’t want to waste any water, so she’ll set her sprinkler so that it doesn’t spray any water outside of her lot. What is the largest percentage of her lot that she can water? (Answer to the nearest percent)
Answers
Answer:
78.5%
Step-by-step explanation:
Area of a 100ft radius circle = 628sqm
Area of rectangle = 800sqm
= 172sqm difference in size
if 800 sqm = 100%
Then 600 sqm = 3/4 = 75%
60sqm =3/40 = 7.5%
6sq m =3/400 =0.75%
2 sq m = 0.25%
30sqm = 1/2 of 7.5%= 3.75
3.75-0.25 = 3.50%
3.50% + 75 = 78.5%
But these are graphs, not numbers! What do you think Diego and Mai are thinking?
Answers
Answer:
Diego and Mai are thinking of the slopes of the graphs!
Step-by-step explanation:
The slopes of the graphs are as follows:
Right: Negative slope
Center: Zero slope
Left: Positive slope
Therefore, you can conclude that the graphs are organized in order of slope.
(Let me know if you need more explanation as to why we know the slopes are positive, negative, zero, etc.)
if you flip a coin 6 times , about how many times would you expect to flip heads or tails?
Answers
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 11 people took the trip. She was
able to purchase coach tickets for $330 and first class tickets for $1110. She used her total budget for airfare for the trip, which was $8310. How many first class
tickets did she buy? How many coach tickets did she buy?
number of first class tickets bought
Answers
Answer: 8 First class tickets
Step-by-step explanation:
You can set up a system of equations for this problem. Let x = number of coach tickets and y = number of first class tickets. Then:
330x + 1220y = 12730 (cost of coach tickets plus cost of first class tickets is total budget)
x + y = 17 (number of coach tickets plus number of first class tickets is total number of people)
Solve the second equation for y to get y = 17 - x, then plug that into the first equation and solve for x:
330x + 1220(17 - x) = 12730
330x + 20740 - 1220x = 12730
-890x + 20740 = 12730
-890x = -8010
x = 9
Sarah bought x = 9 coach tickets. Plug that into the second equation and solve for y:
9 + y = 17
y = 8
Sarah bought y = 8 first class tickets.
Answer:
6 first class 5 coach
Step-by-step explanation:
msg me if you need me to explain it
As a homeowner, what will you most likely need to insure?
A. Contents of the building
B. The building itself
C. Both contents and the building
D. None of the above
Answers
Answer:
B
Step-by-step explanation:
You want to make sure the building is insured so that if there is a disaster, you can get your money back. You also want to insure your most valuable contents, too, but you probably already have them insured.
As a homeowner, you will most likely need to insure both the contents of the building and the building itself.
What is a homeowner?A homeowner is a person who owns a home, which is a residential dwelling that is typically occupied by the owner and their family. Homeownership usually involves buying a property, such as a house or a condominium, and taking responsibility for its maintenance, upkeep, and any associated expenses, such as property taxes, insurance, and repairs.
We have,
As a homeowner, you will most likely need to insure both the contents of the building and the building itself.
Homeowner's insurance typically covers both the structure of the home (i.e., the building itself) and the personal property (i.e., the contents) inside the home against damage or loss due to various perils, such as fire, theft, vandalism, and natural disasters.
The coverage for the building itself typically includes the physical structure of the home, as well as any attached structures, such as garages or porches.
The coverage for personal property typically includes furniture, electronics, appliances, clothing, and other personal belongings.
It's important to note that the specific coverage and limits of a homeowner's insurance policy can vary depending on the policy and the insurance provider.
Thus,
As a homeowner, you will most likely need to insure both the contents of the building and the building itself.
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h(x)=x-4 what’s is the domain of h?
Answers
Answer:
all real number
Step-by-step explanation:
since h(x) is polynomial function
Final answer:
The domain of the function h(x)=x-4 is all real numbers, as there are no restrictions on the value of x.
Explanation:
The domain of a function represents all the possible values that can be input into the function. For the function h(x)=x-4, there are no restrictions on the value of x, since x represents a real number and there are no denominators or square roots to consider.
Therefore, the function h(x)=x-4 is defined for all real numbers, making the domain of h to be all real numbers, which is often denoted by the symbol (-∞, +∞) or simply written as 'all real numbers'.
A traingle has a perimeter of 22 centimeters with a side of 7 centimeters with a side that is 7 centimeters long. the lengths of the remaining 2 sides have a ratio of 2:3. what is the length in centimeters, of the shortest side of the triangle?
Answers
Answer:
25.13 in^2.
Step-by-step explanation:
I will assume a circular pizza with 8 pie shaped pieces.
Each of the 8 sectors is one piece of pizza. So find the area of the the circle, radius = 16/2 = 8, that is π * 8^2 and divide by 8 getting 8π for the area of each slice. Note: 8π ≈ 8 * 3.1416 ≈ 25.13 in^2.
Answer:
25.13in^2
Step-by-step explanation:
What is the probability of rolling either a sum of 2 or a sum of 10 using two number cubes
Answers
Solve the system of equations. y= x+ 2
y= x^2+ 5x + 6
A. (0, 2) and (2, 4)
B. (0, 2)
C. (-2,0)
D. (-2,0) and (-3,0)
Answers
Answer:
x = -2
Step-by-step explanation:
What is the measure of Angle c? 3 lines intersect to form 6 angles. Clockwise, from top left, the angles are: C, 48 degrees, 42 degrees, 90 degrees, 48 degrees, 42 degrees. 42° 48° 90° 180°
Answers
Answer:
90 so c
Step-by-step explanation:
The measure of Angle c when 3 lines intersect to form 6 angles is 90 degrees.
What is the sum of all the exterior angles of a regular polygon?For a regular polygon of any number of sides, the sum of its exterior angle is 360° (full angle).
Exterior angle is an measure of rotation between one extended side(we extend it virtually) of the polygon with its adjacent side which is not extended.Consider that it be having 'n' sides, all the exterior angles are of same measure, and therefore, their measure is (360/n)°.
We are given that;
The 3 lines intersect and form 6 angles.
Now,
To find angle c, we need to use the fact that the angles around a point add up to 360 degrees. The six angles formed by the three intersecting lines include all the angles around a point, so we have to set up another equation;
Angle c + 48 degrees + 42 degrees + 90 degrees + 48 degrees + 42 degrees = 360 degrees
Simplifying and solving for angle c, we get:
Angle c = 360 degrees - 270 degrees
Angle c = 90 degrees
Therefore, by interior and exterior angles the measure of angle c is 90 degrees.
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TODUIL.
3. For what value of x is the equation
4 = 12x - 2 true?
©
2
2
06
4. Indicate which values from the set
1 2 3 4 5 61 are solutions of
Answers
Final answer:
To solve the equation 4 = 12x - 2, we need to find the value of x. The value that satisfies the equation is x = 1/2.
Explanation:
To find the value of x that makes the equation 4 = 12x - 2 true, we need to solve for x.
12x - 2 = 4
12x = 6
x = 6/12
x = 1/2
So, the value of x that satisfies the equation is x = 1/2.
Given the expression 2x^2 + 3x + c, what value could be filled in for c to create an equivalent expression that is factorable using integers?
Answers
Answer:
[tex]c = 1[/tex]
Step-by-step explanation:
The given expresion is
[tex]2 {x}^{2} + 3x + c[/tex]
For this expression to be factorable using integers, we must find factors of 2c, that will sum up to 3.
We know 2,c are factors of 2c
Their sum should be 3.
[tex]c + 2 = 3[/tex]
This implies that:
[tex]c = 3 - 2 \\ c = 1[/tex]
I
2/
18
s 0
15th
15th
so
If you choose from the following M&M colors, what
is the probability that you choose blue?
5 green
6 yellow
8 blue
Answers
Answer:
8/19
Step-by-step explanation:
Total = 5 + 6 + 8 = 19
P(blue) = 8/19
Or 0.4210526316
Which equation is the inverse of Y equals 2X squared -8
Answers
Answer:f−1(x)=√2(x+8)2,−√2(x+8)2
Step-by-step explanation:
Interchange the variables. Solve for y. Solve for y and replace with f^-1(×). Replace the y with f^-1 (x) to show the answer.
Which word describes the slope of the line?
positive
negative
zero
undefined
Answers
Answer: Zero
Step-by-step explanation:
A negative slope is a linear line that is sloped from the upper left to the bottem right. A positive is the oppisate and an undefined line is vertical. A zero line is horizontal.
The word describes the slope of the line is zero
What is slope of a line?The slope of the line is defined as its inclination towards the x axis.
How to know which word describes the slope of the line?In the given figure,
The line is parallel to the x axis.So, angle between the line and the x-axis is 0 that is the line is totally inclined towards the x axis.So, the slope will be zero
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Which description matches the function represented by the values in this
table?
1
2
3
972
324
108
36
12
O A. exponential decay
O B. exponential growth
O
C. linear growth
O
D. linear decay
Answers
Answer:
Exponential Decay
Step-by-step explanation:
The description that matches the function represented by the values is A. exponential decay.
What is exponential growth or decay function?Consider the function: [tex]y = a(1\pm r)^m[/tex]
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is plus sign, so there is exponential growth happening by r fraction or 100r %
If there is negative sign, so there is exponential decay happening by r fraction or 100r %
The given function is
[tex]y = a(1\pm r)^m\\972 = 1(1\pm r)^m[/tex]
The table shows the exponential decay function.
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im to stupit plss help
Answers
Answer:
give him brainliest plz
Step-by-step explanation:
In the equation (x-3)2+(4+4)2=121, the radius of the circle is
Answers
Answer: The radius of the circle in 11
Final answer:
The equation is in the standard form (x - h)² + (y - k)² = r², where r is the radius. Thus, the square root of the constant term 121 would give the radius, which is 11.
Explanation:
To find the radius from an equation of a circle in the form (x - h)² + (y - k)² = r², where (h, k) is the center of the circle, and r is the radius, we need to compare it to the given equation.
As per the standard form, the number on the right side of the equation is r², the square of the radius.
We have (x - 3)² + (4 + 4)² = 121, which can be written as (x - 3)² + (8 - 0)² = 121, considering (3,0) as the center of the circle, the radius would be the square root of 121, which is 11.
What is the base area of a cylinder with a volume of 150 cubic cm and a height of 10 cm?
Answers
Answer:
15
Step-by-step explanation:
volume is base X Height
V= BXH
150= BX 10
divide 10 on both sides
15= B