Answers
The volume of the composite solid is 340.4 cubic inches
How to calculate the volume of the composite solidThe composite solid is made up of two parts one has
uniform height varying heightThe volume for the uniform height
= base area * height
base area = 0.5 base * height = 0.5 * 8 * 6.9 = 27.6
= 27.6 * 10
= 276 cubic inches
The volume for the varying height
= 1/3 base area * height
base area = 27.6 (both share same base)
= 1/3 * 27.6 * 7
= 64.4 cubic inches
The total volume
= 276 + 64.4
= 340.4 cubic inches
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Related Questions
283x416 in algorithm
Answers
Answer:
120,000
Step-by-step explanation:
To estimate the product of 283 × 416, first round each number so that each number contains only 1 non zero digit.
In this case, we will round 283 to the nearest hundred and we will also round 416 to the nearest hundred. To round 283 to the nearest hundred, the number next to two is higher than 5 so we round up. 283 rounds to 300.
416 rounded to the nearest hundred is 400 because the digit to the right of 4 is less than 5 which means we round down. 416 rounds down to 400.
Now we have 300 × 400 which equals 120,000
This means that 283 x 416 is approximately 120,000.
Solve for s in terms of p, q, and r.
q= –spr
Answers
Answer:
[tex]\sf s =\dfrac{-q}{pr}[/tex]
Step-by-step explanation:
Solve for s:q = -spr
-spr = q
Isolate 's' by dividing both sides by (-pr).
[tex]\sf \dfrac{-spr}{-pr}=\dfrac{q}{-pr}\\\\\\ s = \dfrac{-q}{pr}[/tex]
Simplify the following expressions to simplest form using only positive exponents.
(49x^10y^16)^-5/2
(125x^-18y^9)^5/3
Answers
The equivalent expressions using only positive exponents are 1/(7x⁵y⁸)⁵ and (5y³/x⁶)⁵
How to simplify the expressions?Expression 1
From the question, the expression is given as
(49x¹⁰y¹⁶)⁻⁵/²
Express the radicals as roots
So, we have
(49x¹⁰y¹⁶)⁻⁵/² = √[(49x¹⁰y¹⁶)]⁻⁵
Take the square root of each of the factor in the bracket
This gives
(49x¹⁰y¹⁶)⁻⁵/² = (7x⁵y⁸)⁻⁵
Apply the negative exponent rule of indices
So, we have
(49x¹⁰y¹⁶)⁻⁵/² = 1/(7x⁵y⁸)⁵
Expression 2
From the question, the expression is given as
(125x⁻¹⁸y⁹)⁵/₃
Express the radicals as roots
So, we have
(125x⁻¹⁸y⁹)⁵/₃ = ∛[(125x⁻¹⁸y⁹)]⁵
Take the cube root of each of the factor in the bracket
This gives
(125x⁻¹⁸y⁹)⁵/₃ = (5x⁻⁶y³)⁵
Apply the negative exponent rule of indices
So, we have
(125x⁻¹⁸y⁹)⁵/₃ = (5y³/x⁶)⁵
Hence, the equivalent expression is (125x⁻¹⁸y⁹)⁵/₃ = (5y³/x⁶)⁵
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What is the amount of M
Answers
The value of ∠M is, 30
What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created.The vertex of an angle is the location where two points come together.The Latin word "angulus," which means "corner," is where the term "angle" originates.Vertex: The intersection of two lines or sides at an angle is called a vertex. In the diagram, O is the vertex.Arms: The angle's two sides linked at a single end. The arms of an angle are OA and OB.Initial Side: A straight line from which an angle is drawn, sometimes referred to as the reference line. The reference line is OB.The side that the angle measurement is done up to is known as the terminal side. OA is the terminal side in the diagram that is shown below.acc to our question-
∠m + ∠30=60∠m= 60-30=30Hence,The value of ∠M is, 30
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a game is played with tokens according to the following rule. in each round, the player with the most tokens gives one token to each of the other players and also places one token in the discard pile. the game ends when some player runs out of tokens. players aa, bb, and cc start with 15, 14, and 13 tokens, respectively. how many rounds will there be in the game?
Answers
As there are three players, the game will be played in cycles of 3 rounds. After each cycle is completed, the round after will be the round where every single player has 1 token less than they did at the beginning of the previous cycle.
After the first round of the game, player one will have 12 tokens, player two will have 15 and player three will have 14 left. Looking at this sequence, it is evident that player one will finish first.
Go a few rounds to establish the pattern:
Beginning chips: A B C
15 14 13
1st round:
12 15 14
2nd round: 13 12 15
3rd round: 14 13 12
So after 3 rounds and successive 3 rounds each player has one less than he started with at the beginning of the 3 round series.
So after 36 rounds each will be down 12 from the beginning:
A B C
3 2 1
On the 37 round A will give up his 3 to end at 0
37
For more clear understanding:
As player has one token less at the beginning of a new cycle than he/she had at the beginning of the previous cycle we go (12∗3)+1=37(12∗3)+1=37 to see how many turns it will take them to reach zero.
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when the repeating decimal $0.\overline{12}$ is expressed as a common fraction in lowest terms, what is the sum of its numerator and denominator?
Answers
The sum of the numerator and denominator of the decimal is found as 111.
Define the term common fraction?A fraction with an integer for both the numerator and denominator is referred to as a common fraction or vulgar fraction.A fraction with an integer for both the numerator and denominator is described to as a common fraction or vulgar fraction.A ratio can be named with a common fraction.Boys outnumber females in a class 4:3, or 4/3. 4/3 is a popular proportion.As for the given question;
The decimal number is given as;
0.12 bar
Decimal to fraction conversion
100(0.12 bar) = 12(0.12 bar)
99.(0.12bar) = 100(0.12bar) - (0.12 bar)
99.(0.12bar) = 12 × 0.12bar - 0.12bar
99.(0.12bar) = 12
0.12 bar = 12/99 (lowest fraction)
Thus, in the result the numerator is found as 12 and the denominator is found as 99.
Add = 12 + 99
Add = 111
Thus, the sum of the numerator and denominator of the decimal is found as 111.
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Please Help Me, I need an answer ASAP.
Answers
The measure of < BAP in the figure of the circle is 30 degrees
How to find < BAP< ACB covers same angle as < APB
therefore
< ACB = < BAP = 120
complete the line PB to form another radius. since radius of a circle are equal, an isosceles triangle is created
Isosceles triangle has a unique property of 2 equal equal sides and equal base angles. one of the angles of the isosceles triangle is < BAP
solving with the new triangle APB
< BAP = < PBA (base angles of isosceles triangle)
< BAP + < PBA + 120 = 180
2 < BAP = 180 - 120
2 < BAP = 60
< BAP = 30 degrees
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At the 2004 athens olympics, the ration of canadas gold medals to greeces gold medals was 1:2. together,canada and greece won. 9 gold medals.how many did canada and greece win
Answers
The total number of medals won by Canada is 3 and Greece's 6,
Here we have to find the number of medals won by Canada and Greece.
The ratio of medals won by Canada and Greece is 1: 2.
The total number of medals won = is 9
The common number is x.
Medal won by Canada = x
Medal won by Greece = 2x
So we get the equation:
x + 2x = 9
3x = 9
x = 3
So the total medal won by Canada = 3
The total medal won by Greece = 2 × 3= 6
Therefore the number of medals won by Canada and Greece is 3 and 6 respectively.
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What is the graph of f(x) = 3x – 4, where x ≥ 1?
Answers
The required graph of the given expression f(x) = 3x – 4, is shown.
Given that,
To draw the graph of the expression f(x) = 3x – 4, for the domain x ≥ 1.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
y = f(x)
Given expression,
f(x) = 3x – 4,
So,
y = 3x - 4
For the domain y x ≥ 1,
Since the function given is a linear function and the graph will be a straight line of the slope m = 2,
Thus, the required graph of the given expression f(x) = 3x – 4, is shown.
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9.
X
22
9. W
Y
36%
(4w+14)
R
36%
Answers
In the given figure, w= 27
What is the Side Angle Side theorem?The two triangles are congruent if the two sides of one triangle are equal to the two sides of another triangle and the angles formed by the two sides of each triangle are equal. The "Side-Angle-Side" triangle congruence theorem is referred to as the SAS Criterion.The Side-Angle-Side theorem of congruency states that, if two sides and the angle formed by these two sides are equal to two sides and the included angle of another triangle, then these triangles are said to be congruent.Verification:
Let's perform an activity to show the proof of SAS. Given: AB=PQ, BC=QR, and ∠B=∠Q. To prove: ΔABC ≅ ΔPQRPlacing the triangle ABC over triangle QPR will cause B to fall on Q and the AB side to coincide with the PQ side.Point A falls on point P because of AB=PQ.The side BC will fall along the side QR since B=Q.Point C is in line with point R since BC=QR. As a result, BC and QR coincide, while AC and PR coincide.ABC will therefore match QPR. Consequently, ABCPQR. This exemplifies the SAS congruence criterion.Solution
From SAS
XY=QP and YZ=QR
therefore ∠Y = ∠Q
since the interior angles of the triangle are supplementary
∠Y + ∠X +∠Z = 180
∠Y + 22 + 36 = 180
∠Y = 180 - 58 = 122
therefore, ∠Q is also equal to 122
and (4w+ 14) =122
122 - 14 = 4w
108 = 4w
w = 108/4 = 27
Hence, from the SAS criterion
w is equal to 27
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1 the leftmost end point of a line segment must be specified as the start point of the line. true false
Answers
False, the leftmost end point of a line segment cannot be specified as the start point of the line
Define line segment.A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction. A line segment is either an edge (of that polygon or polyhedron) if its end points are adjacent vertices, or a diagonal more generally when both of its end points are vertices of a polygon or polyhedron. A line segment is referred to as a chord when both of its end points are located on a curve, like a circle.
Given,
False, the leftmost end point of a line segment cannot be specified as the start point of the line.
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when using percentiles with normally distributed scores, differences between raw scores may be .
Answers
The percentile rank / score in the setting of statistics denotes the percentage of the population that falls below it when the data is organized in ascending order.
What is meant by normally distributed?The mean and standard deviation of a normal distribution are 0 and 1, correspondingly. It has a kurtosis of 3 and zero skew.Not every symmetrical distributions are normal, but all normal distributions are symmetrical.68.2% of observations would fall within +/- 1 standard deviation of a mean including all normal distributions, 95.4% will fall in +/- two standard deviations, and 99.7% will fall within +/- 3 different deviations.For the given question.
The difference in the percentiles and raw scores is-
When presented in ascending order in statistics, a percentile rank / score signifies the percentage of the population that drops below it. By translating the raw score into an analogous z-score through using empirical z-distribution table, the percentile for such a raw score may be established.To know more about the normally distributed, here
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valuerelative frequency 10.15 20.30 30.45 40.10 if there are a total of 40 data values, with what frequency does the data value 1 occur?
Answers
The frequency of data value 1 that is 10 will be 6 as "Dividing each frequency by the total number of data values gives the relative frequency. So multiplying the relative frequency by the total number of data values gives the frequency."
What is relative frequency?The proportion of outcomes where a specific event occurs to all trials, not in a hypothetical sample space but in a real experiment, is known as the empirical probability, relative frequency, or experimental probability of an event. The relative frequency is calculated by dividing each frequency by the total number of data values. Therefore, the frequency is calculated by multiplying the relative frequency by the total number of data values.
Here,
Value Relative frequency
10 0.15
20 0.30
30 0.45
40 0.10
data 1 value=10
Dividing each frequency by the total number of data values gives the relative frequency.
So, multiplying the relative frequency by the total number of data values gives the frequency.
40*0.15=6
Since "multiplying the relative frequency by the total number of data values gives the frequency," the frequency of the data value 1 that is 10 will be 6.
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you roll a six-sided die 20 times. what is the probability of having exactly 8 rolls land on a number greater than 4?
Answers
The probability of getting a number greater than 4 when the dice is rolled 20 times is 7.
The number on dice greater than 4 is 2 (that is 5 and 6 on dice) thus the probability of getting a number greater than 4 is
P = 2/6
P = 1/3
This is the probability if the dice were rolled once but if the dice were rolled 20 times thus the probability, in this case, needs to be multiplied by 20
P = 1/3*20
P = 6.66
equivalents to 7
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simplify (-2b⁵)2 step by step
Answers
-2^2 * b^5*2 =
4 * b^10 =
4b^10
Translate "eight more than the sum of y and x" into a variable expression.
Answers
Answer:
(y+x)+8
it is expressed like that i think
Answer:
(Y+x)+8
Step-by-step explanation:
Round 837 to 1 significant figure
Answers
Answer:
800
Step-by-step explanation:
we gotta go with the highest value to round since it’s only one sig fig
In order to round to 1 significance the remaining digit will marks as zero thus 837 to 1 significant figure will be 800.
How do round any digit?To round up or down tens place then we need to look at the unit place if it is less than 5 then we need to keep it as it and if it is greater than 5 then we need to round up the tens digit.
In order to round to a hundred, we need to look at the tens digit if it is less than 5 then we keep as it is and if it is 5 or greater than 5 then we will round up.
In order to round to 1 significance the remaining digit will mark as zero
As per the given,
837 Here, 1 significant figure is 8.
The ramainging digit = 3 and 7
Put 0 instant of 3 and 7
837 → 800
Hence "In order to round to 1 significance the remaining digit will marks as zero thus 837 to 1 significant figure will be 800".
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Find the equation of each of the straight lines, given its gradient and the coordinates of a point on the line.
6, (2, 8) 7, (2,10)
Answers
The equation of the straight lines are:
For m = 6 and (x1, y1) = (2, 8) => y = 6x - 4
For m = 7 and (x1, y1) = (2, 10) => y = 7x - 4
We know that the equation of a line with gradient m and y-intercept is:
y = mx + c.
We need to find the equation of each of the straight lines, given its gradient and the coordinates of a point on the line.
We know the point-slope form of equation of line,
(y - y1) = m(x - x1)
For m = 6 and (x1, y1) = (2, 8)
(y - 8) = 6(x - 2)
y - 8 = 6x - 12
y = 6x - 4
For m = 7 and (x1, y1) = (2, 10)
(y - 10) = 7(x - 2)
y - 10 = 7x - 14
y = 7x - 4
Therefore, the equation of the straight lines are:
For m = 6 and (x1, y1) = (2, 8) => y = 6x - 4
For m = 7 and (x1, y1) = (2, 10) => y = 7x - 4
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Find x and m
Giving brainlist to fastest reply that’s correct! Also liking answers for trying to answer <3
Answers
Answer:
x=21, m<s=95
Step-by-step explanation:
85+5x-10=180
75+5x=180
5x=105
x=21
m<S= 5(21)-10
m<S= 105-10
m<s=95
A football team averaged a loss of 8 yards in each of 4 plays. If they did not gain any yards, what was the net yardage the team had after those 4 plays?
What is the answer?
Answers
The net yardage the team had after those 4 plays is -32.
How to calculate the value?From the information, the football team averaged a loss of 8 yards in each of 4 plays.
In a situation where they did not gain any yards, the net yardage the team had after those 4 plays will be:
= Yards loss × Number of matches
= -8 × 4
= -32
This illustrates the concept of multiplication that was used to calculate the net yardage.
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Why can the absolute value function be written as a piecewise function?
Answers
It's because this requires two different processes or pieces, the absolute value function is an example of a piecewise function. A piecewise function is a function in which more than one formula is used to define the output over different pieces of the domain.
Select all of the following equation(s) that are quadratic in form. x4 – 6x2 – 27 = 0 3x4 = 2x 2(x + 5)4 + 2x2 + 5 = 0 6(2x + 4)2 = (2x + 4) + 2 6x4 = -x2 + 5 8x4 + 2x2 – 4x = 0
Answers
The equations that are quadratic in form include:
A. x⁴ – 6x²– 27 = 0
D. 6x⁴ = -x² + 5
E. 8x⁴ + 2x² – 4x = 0
What is a quadratic equation?A quadratic equation simply refers to the equation which is in an algebraic equation that is of the second degree.
It should be noted that a quadratic equation is in the form of ax² + bx + c = 0.
In this situation, a and b are the coefficients while c is the constant in the equation.
Therefore, based in the information given, the correct options are A, D, abd E.
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Answer:
The equations that are quadratic in form include:
A. x⁴ – 6x²– 27 = 0
D. 6x⁴ = -x² + 5
E. 8x⁴ + 2x² – 4x = 0
Step-by-step explanation:
The contrapositive of a conditional statement is "If an item is not worth five dimes, then it is not worth two quarters.”
What is the converse of the original statement?
Answers
The converse of the statement that says that If an item is not worth five dimes, then it is not worth two quarters is: If an item is worth five dimes it is worth two quarters.
What is the converse of a statement?By swapping the hypothesis and the conclusion, a statement can be made to mean the opposite. "If two lines don't intersect, then they are parallel" is the inverse of "If two lines overlap, then they are parallel." If q, then p is the opposite of "if p, then q."
The converse of a statement may not always have the same truth value as the original. For instance, "All mammals are tigers" is the polar opposite of "All tigers are mammals." This is undoubtedly untrue.
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A bowling alley charges $15 per game. Customers are also charged an additional $3 to rent bowling shoes.
Which statement is true, based on the given description?
The description shows a linear relationship, but not a proportional relationship.
The description shows a linear relationship and a proportional relationship.
The description does not show a linear relationship or a proportional relationship.
The description shows a proportional relationship, but not a linear relationship.
Answers
The statement that is true on the bowling alley charges and the additional cost for renting bowling shoes is The description shows a linear relationship, but not a proportional relationship.
What is a linear relationship?In a linear relationship, the values of the two variables can be drawn on a graph such that they form a line. There would often be a y-intercept and then a slope or a constant rate of change. In this case the constant rate of change is the $15 per game and the additional cost to rent bowling shoes is the y-intercept. This is therefore a linear relationship.
A proportional relationship would have a constant rate of change but there would be no y - intercept. As there is a y - intercept in this scenario, this is not proportional.
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Answer: A: The description shows a linear relationship, but not a proportional relationship.
Please help desperately I don’t know this. Burt keeps honeybees on his farm. When he first started, here’s a six room beehive that held 40 pounds of honey. Now he uses a 30 for a beehive. It has the same ratio and frames to Honey as a smaller beehive.
How much money does birds new beehive hold?
Answers
The ratio of frames to honey is the same as in a smaller beehive. 200 pounds of honey can be found in Bert's new beehive.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given data:
Number of frame beehives = 6
Pound of honey = 40
Current Frame beehive = 30
The first step is to formulate an equation and then use the formulated equation to find the number of honey
E = 40 × 30 ÷ 6
E = 40 × 5
E = 200 honey
Therefore the number of honey is 200.
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How many terms are in the given expression?5x - 2
Answers
The number of terms in the expression 5x - 2 is 2
What is number of terms in a mathematical expression ?The number of terms in an expression or equation refers to the values separated by a mathematical operator. A mathematical operator could be
AdditionSubtractionMultiplicationDivision and so onThe terms can be like terms or unlike terms
The two terms given is separated by the subtraction operator and are both unlike terms
The first term 5x consist of
coefficient = 5variable = xThe second term is just a constant which is 2
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An adult sleeps about 480 minutes per day an infant sleeps about 820 minutes per day about how many more minutes does an infant sleep than an adult in one week. What is the given information that will be used to solve the problem?
Answers
Answer:2380 minutes. By saying how many more minutes does an infant sleep than an adult in one week impies that you have to subtract how long an adult sleeps taken away from the amount of time an infinte sleeps. Once you get the answer you multiply it by seven.
Step-by-step explanation:
Answer:340 minutes
Step-by-step explanation:you subtract the amount an infant sleeps (820 minutes) by the amount an adult sleeps (480 minutes)
820-480=340
A landscaper has 105 small shrubs to plant on the grounds of a park. he wants to plant the shrubs in equal groups. what different sized groups could he make
Answers
The different-sized groups are three groups of each size (35), five groups of each size (21), and seven groups of each size (15).
Given that;
A landscaper must plant 105 little bushes on a park's grounds. He intends to divide the bushes into equal groups.
We are asked to find what different-sized groups could a landscaper can make.
Here, we use Prime factorization;
Let,
∴ 105 = 3 * 5 * 7
From the above factors, we can find different groups as;
3 groups of each sized 35.
5 groups of each sized 21.
7 groups of each sized 15.
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what is the unit rate for $44 in 4 days
Answers
Answer:11
Step-by-step explanation: 44 divided into 4 is 11.
Answer:
The answer would be 11
Step-by-step explanation:
Because, 44 divided by 4 = 11
- 6 000 frs for 3 years at 4% p.a.
- 2 000 frs for 2 years 3 months at 3% p.a.
Answers
Principal for 6000 frs for 3 years at 4% p.a. and 2000 frs for 2 years 3 months at 3% is 461.5 and 148.1.
Amount A = P(1+rt)
6000 = p(1+4*3)
6000 = p13
p = 6000/13
p = 461.5
Amount A = P(1+9/2*3)
2000 = P*27/2
P = 2000*2/27
P = 148.1
Therefore Principal for 6000 frs for 3 years at 4% p.a. and 2000 frs for 2 years 3 months at 3% is 461.5 and 148.1.
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