Each triangular face of the following solid figure is congruent. If the area of each face is 12 square inches, what is the
surface area of the entire figure?
Answers
Answer:
the surface area is 48in^2 because there are 4 faces and you have to find the surface are in which you must multiply 12 by 4.
Step-by-step explanation:
Related Questions
Ezra works two summer jobs to save for a laptop that costs at least $1100 he charges $15/hr to mow lawns and $10 an hour to walk dogs. Recall the inequality that represents this situation: 15x + 10y >_ 110
is (60,20) a solution? How do you know? What does this power represent?
Answers
Answer:
The inequality that represents this situation is 15x + 10y ≥ 1100, since Ezra needs to earn at least $1100 to buy the laptop.
To check if (60, 20) is a solution to this inequality, we need to substitute x = 60 and y = 20 into the inequality and see if it is true:
15(60) + 10(20) ≥ 1100
900 + 200 ≥ 1100
1100 ≥ 1100
Since 1100 ≥ 1100 is true, this means that (60, 20) is a solution to the inequality. This means that if Ezra works 60 hours mowing lawns and 20 hours walking dogs, he will earn enough money to buy the laptop.
The point (60, 20) represents the combination of hours worked for mowing lawns (x) and walking dogs (y) that will result in Ezra earning enough money to buy the laptop. The x and y values are the inputs or variables, while the inequality 15x + 10y ≥ 1100 is the constraint that must be satisfied. The solution (60, 20) is the output or result of the system of inequalities, and represents the combination of hours worked that will satisfy the constraint.
particle travels from(-1/3 ,1, -2) to(9,9,6) . Its motion is described by the position function r(t)=(t^3/3, t^2,2t).
a) Find the distance the particle travels along the path, its average speed, and its
displacement [the distance it could have traveled if in a straight line].
b) List a detailed snapshot of the T,N,B frame for this particle at the halfway point (by
time) including curvature and torsion.
Answers
The particle travels approximately 45.63 units along the path. The displacement is the straight-line distance between the initial and final positions of the particle is 2781.
To find the distance the particle travels along the path, we can integrate the speed over the interval of time. The speed of the particle is given by the magnitude of its velocity vector.
The velocity vector is the derivative of the position function r(t):
\(v(t) = (d/dt)(t^3/3, t^2, 2t)\)
\(= (t^2, 2t, 2)\)
The speed of the particle at any given time t is:
|v(t)| = √((t^2)^2 + (2t)^2 + 2^2)
= √(t^4 + 4t^2 + 4)
= √((t^2 + 2)^2)
To find the distance traveled along the path, we integrate the speed function over the given interval of time. The particle travels from t = -1/3 to t = 9.
distance = ∫[from -1/3 to 9] |v(t)| dt
= ∫[from -1/3 to 9] |t^2 + 2| dt
= ∫[from -1/3 to 0] -(t^2 + 2) dt + ∫[from 0 to 9] (t^2 + 2) dt
= [-1/3 * t^3 - 2t] (from -1/3 to 0) + [1/3 * t^3 + 2t] (from 0 to 9)
Evaluating the definite integrals:
distance = [-1/3 * 0^3 - 2 * 0 - (-1/3 * (-1/3)^3 - 2 * (-1/3))] + [1/3 * 9^3 + 2 * 9 - (1/3 * 0^3 + 2 * 0)]
= [0 - (1/3 * (-1/27) + 2/3)] + [1/3 * 729 + 18]
= [1/27 + 2/3] + [729/3 + 18]
= 1/27 + 2/3 + 729/3 + 18
= 1/27 + 18/27 + 729/3 + 18
= (1 + 18 + 729)/27 + 18
= 748/27 + 18
= 27.63 + 18
= 45.63 units (approximately)
Therefore, the particle travels approximately 45.63 units along the path.
To find the average speed, we divide the distance traveled by the time taken. The time taken is 9 - (-1/3) = 9 1/3 = 28/3.
average speed = distance / time
= 45.63 / (28/3)
= 45.63 * (3/28)
= 4.9179 units per unit time (approximately)
The displacement is the straight-line distance between the initial and final positions of the particle.
displacement = |r(9) - r(-1/3)|
= |(9^3/3, 9^2, 2 * 9) - ((-1/3)^3/3, (-1/3)^2, 2 * (-1/3))|
= |(27, 81, 18) - (-1/27, 1/9, -2/3)|
= |(27 + 1/27, 81
= 2781.
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runners on different lanes on oval races trake have different starting marks. why?
Answers
Answer:
So, how the racing track is shaped, the inner line are faster because of the smaller inside of the oval, so basically the outside lane takes longer to run than the inside lane.
Let me know if you need more explaining, the picture might help.
The ounces of yellow paint, y, needed to mix with x ounces of blue paint to make a certain shade of green paint can be represented by the equation y = 1.5x. What is the constant of proportionality of the equation?
Answers
Answer:
The constant of proportionality of the equation is 1.5.
Step-by-step explanation:
Equation of proportional measures:
Suppose that y and x are proportional measures. This situation can be equatialized is:
y = ax
In which a is the constant of proportionality.
y = 1.5x. What is the constant of proportionality of the equation?
a = 1.5, so the constant of proportionality of the equation is 1.5.
Suppose a basketball team had a season of games with the following characteristics: Of all the games, 60% were at-home games. Denote this by H (the remaining were away games). Of all the games, 25% were wins. Denote this by W (the remaining were losses). Of all the games, 20% were at-home wins. Of the at-home games, we are interested in finding what proportion were wins. Which of the following probabilities do you need to find in order to determine the proportion of at-home games that were wins?A. P(H)B. P(W)C. P(H and W)D. P(H | W)E. P(W | H)
Answers
Answer:
E. P(W | H)
Step-by-step explanation:
What each of these probabilities mean:
P(H): Probability of the game being at home
P(W): Probability of the game being a win.
P(H and W): Probability of the game being at home and being a win.
P(H|W): Probability of a win being at home.
P(W|H): Probability of winning a home game.
Which of the following probabilities do you need to find in order to determine the proportion of at-home games that were wins?
This is the probability of winning a home game. So the answer is:
E. P(W | H)
8/9 divided by 2/9??
Answers
Answer:
The answer to this question is 4.
Step-by-step explanation:
Answer: your answer is going to be 4!!! I hope this helped
Step-by-step explanation:
what is the value of -2/3x0.6÷ 6/5
Answers
Answer:
-0.33333333333 in other word it o.3 with line over 3
Step-by-step explanation:
Determine whether the lines are parallel, perpendicular or neither.
b
Line 1:2y−3x=0
Line 2:y+6x=−3
Answers
Answer:
Neither
Step-by-step explanation:
Although the lines intersect it is not at a 90° angle meaning it's neither perpendicular or parallel.
George weeded 1/5 of the garden and Summer weeded some to when they were finished 2/3 of the garden still needed to be weeded.What fraction of the garden did summer weed?
Answers
Answer:
Step-by-step explanation:
Let's start by finding the fraction of the garden that George weeded. We know that he weeded 1/5 of the garden, so the fraction that is left is:
1 - 1/5 = 4/5
Now we know that Summer weeded enough to leave 2/3 of the garden still needing to be weeded. This means that she weeded:
1 - 2/3 = 1/3
of the garden.
However, we want to find the fraction of the garden that Summer weeded relative to the total garden, not just the part that was left after George weeded. So we need to express this fraction as a fraction of the total garden.
To do this, we can use the fact that George weeded 1/5 of the garden, or equivalently, 5/5 + 1/5 = 6/5 of the garden. So the total garden is divided into 6 equal parts, each representing 1/5 of the garden.
Since George weeded 1/5 of the garden, there are 5/5 - 1/5 = 4/5 parts of the garden left. This means that 4/5 of the garden is divided into 3 equal parts, each representing 1/3 of the garden (since Summer left 2/3 of the garden to be weeded).
Therefore, the fraction of the garden that Summer weeded is:
1/3 * (4/5) = 4/15
So Summer weeded 4/15 of the garden.
1 - 1/5 = 4/5
This tells us that 4/5 of the garden still needed to be weeded when George and Summer finished working on it.
We're told that Summer weeded some of the garden, and that the two of them together left 2/3 of the garden still needing to be weeded. We can set up an equation to represent this:
fraction George weeded + fraction Summer weeded = fraction of garden still needing to be weeded
1/5 + fraction Summer weeded = 2/3
To solve for fraction Summer weeded, we can isolate it on one side of the equation by subtracting 1/5 from both sides:
fraction Summer weeded = 2/3 - 1/5
To subtract these fractions, we need a common denominator. The smallest common multiple of 3 and 5 is 15, so we can rewrite the fractions with 15 as the denominator:
fraction Summer weeded = 10/15 - 3/15
Now we can subtract:
fraction Summer weeded = 7/15
Therefore, Summer weeded 7/15 of the garden.
∠A and \angle B∠B are vertical angles. If m\angle A=(x+12)^{\circ}∠A=(x+12)
∘
and m\angle B=(6x-8)^{\circ}∠B=(6x−8)
∘
, then find the measure of \angle B∠B
Answers
Measure of ∠B = 16°
∠A and ∠B are Vertical angles with ∠A = x+12° and ∠B = 6x-8°.
Vertical angles are angles formed between two lines at the intersection of them and are opposite to each other.
Also measures of Vertical angles are equal.
Now to find the measure of ∠B, we need to find x.
So here, ∠A = ∠B
⇒ x+12° = 6x-8°
⇒ 6x - x = 12 + 8
⇒ 5x = 20
⇒ x = 4
Hence, ∠B = 6x-8° = 6 x 4 -8 = 16°
So measure of ∠B = 16°
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Put the numbers in order from smallest to largest.
1 .
9.15
fourth
2 .
9.376
second
3 .
9.51
third
4 .
9.3
what would it be
Answers
Answer:
Step-by-step explanation:
1/4
1/3
1/2
1
2
3
4
9.15
9.3
9.376
9.51
In which set does −17/3 belong?
Answers
Answer:
Rational NumbersStep-by-step explanation:
As,Whole Numbers-
All the natural numbers that is 1,2,3..... and 0 are called whole numbers.
Integers-
All the negative numbers that is -1, -2, -3..... and positive numbers that is 1,2,3...... and 0 are called integers.
Rational Numbers-
All the fractional numbers like, 7/8, 3/7 ....., non fractional numbers like, -17/3 , -6/8 ..... and all integers are called rational numbers.
Hence,
As per the description -17/3 is a rational number.
Hope this helps you. Have a great day!
how many ft is equal to 1.66m
Answers
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
Ik I'll get the answer after 2-3 days later, but yh I still need it, thanks!
Answers
Answer:
Here's your answer.
Step-by-step explanation:
The population in this problem refers to the entire group of interest, which is the group of men who may have an opinion about progress in finding a cure for cancer. The correct option from the given choices is B. All men in the country. However, it is important to note that the sample in this problem is the 998 randomly selected men who were surveyed in the telephone poll. The population parameter in this problem would be the proportion of all men in the country who believe there has been progress in finding a cure for cancer in the last 28 years. The sample statistic in this problem would be the proportion of the 998 men selected in the telephone poll who believe there has been progress in finding a cure for cancer in the last 28 years.
Answer:
B. all men in the country.
Step-by-step explanation:
Help me asap and need the answer quick
Answers
Answer:20 m/s
Step-by-step explanation:
Answer:
20 m/s
Step-by-step explanation:
700 ÷ 35 = 20 m/s
Which of the following would you see on a circle graph?
OA. Percentages
OB. Bars
C. Points
OD. A y-axis
Answers
A, percentages
You would see percentages on a circle graph, because it's how many parts of the whole that they take up.
Happy to help, have a great day! :)
Show your calculations. 1. Jason bought 200 T-shirts at R10 each. It cost him another RS to screen print each T-shirt. He sold all his T-shirt at R35 each. How much profit did he make? which she calls at 850 each
Answers
Answer:
Step-by-step explanation:
To calculate Jason's profit, we can subtract his total expenses from his total revenue.
First, let's calculate the cost of the T-shirts:
200 T-shirts * R10 each = R2000
Next, let's calculate the cost of screen printing:
200 T-shirts * R1 to screen print each = R200
Now, let's calculate the total cost:
R2000 + R200 = R2200
Next, let's calculate Jason's total revenue:
200 T-shirts * R35 each = R7000
Finally, let's subtract the total cost from the total revenue to find the profit:
R7000 - R2200 = R4800
So Jason made a profit of R4800 by selling 200 T-shirts.
Note: It seems there is a typo in the question as it mentions "which she calls at 850 each", which doesn't seem to be related to the calculation of Jason's profit.
fred explained to his friend nicole 5x8/6 is the step it takes to multiply 5/8 x 6 a fraction by a whole number. is fred correct?
explain your reasoning.
Answers
Answer:
no fred is not correct
Step-by-step explanation:
so u say
5/8×6/1
then u say 5×6=30
then u say 8×1=8
then u say 30÷8= 3.75
so yr answer is =3.75
hope u understand
A reactor coolant tank is being filled with coolant at the rate of 400 gallons per hour with t>0 measure in hours. If the tank originally contained 200 gallons of coolant, approximately how many gallons are in the tank after 8 hours?
Answers
The gallons after 8 hours will be 3400 gallons.
How to illustrate the expression?Expression refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.
Numbers, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations.
In this case, the reactor coolant tank is being filled with coolant at the rate of 400 gallons per hour with t>0 measure in hours.
Therefore, the gallons after 8 hours will be:
= 200 + 400(8)
= 200 + 3200
= 3400 gallons.
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15.09 ÷ 0.01 = ?
267.4 ÷ 1/10 = ?
Answers
Answer:
Dividing by a fraction is multiplying by the reciprocal
15.09/1/100=15.09*100=1509
267.4/1/10=267.4*10=2674
Answer:
15.09 ÷ 0.01 = 1509
267.4 ÷ 1/10 = 2674
hope these are the answers you are looking for
Step-by-step explanation:
find the GCF36a² , 24a
Answers
\(36a^2,24a\)
We can use the formula below
\(GCF(a,b)=\frac{a\times b}{LCM(a,b)}\)The LCM of 36a^2 and 24a is 72a^2
\(\begin{gathered} GCF=\frac{36a^2\times24a}{72a^2} \\ \\ GCF=12a \end{gathered}\)twice the sum of the number and negative seven is eight. Find the number. Round your answer to the nearest integer, if necessary
Answers
The number that twice the sum of it and negative seven is eight is 11.
How to find the number ?Twice the sum of the number and negative seven is eight. The number can be found as follows:
let
the number = x
According to the word expression, twice the value of the addition of x and minus seven is equals to 8. Hence, we will find the value of x in the equation formed from the words expression.
The variable x is the required number.
Therefore,
2(x + (-7)) = 8
2(x - 7) = 8
open the brackets
2(x - 7) = 8
2x - 14 = 8
add 14 to both sides of the equation
2x - 14 = 8
2x - 14 + 14 = 8 + 14
2x = 22
divide both sides by 2
x = 22 / 2
x = 11
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Can y’all pls answer both questions
Answers
The number of times of Puerto Rico is 5/6
No earthquake released 10³ of Colombia
How to determine the number of timesFrom the question, we have the following parameters that can be used in our computation:
The table of values
On the table of values, we have
Colombia = 6.0M
Puerto Rico = 5.0M
This means that
Number of times = Puerto Rico/Colombia
Substitute the known values in the above equation, so, we have the following representation
Number of times = 5/6
The earthquake that released 10³ of ColombiaHere, we have
Colombia = 6.0M
So, we have
Earthquake = Colombia * 10³
This gives
Earthquake = 6 * 10³
From the table of values, we have no entries with the readings 6 * 10³
Hence, no earthquake released 10³ of Colombia
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Suppose you are a witness to a nighttime hit-and-run accident involving a taxi in Athens. All taxis in Athens are blue or green. You swear, under oath, that the taxi was blue. Extensive testing shows that, under the dim lighting conditions, discrimination between blue and green is 75% reliable (i.e., if the taxi was green, it appears green to you 75% of the time, and blue otherwise; similarly, if the taxi was blue, it appears blue to you 75% of the time, and green otherwise).
Required:
a. Is it possible to calculate the most likely color for the taxi? (Hint: distinguish carefully between the proposition that the taxi is blue and the proposition that it appears blue.)
b. What if you know that 9 out of 10 Athenian taxis are green?
Answers
Answer:
A ) Yes it is possible
B) The color of the most likely taxi to hit the victim is Green in color because
P( Tg / Yb ) = 0.75 = 75%
Step-by-step explanation:
A) Yes it is possible
attached below is a proposition that can be used to calculate the most likely color of the taxi
where: Tg = taxi is green
Tb = Taxi is blue
Yg = green taxi is seen
Yb = blue taxi is seen
B) When 9 out of 10 Athenian taxis are green
The color of the most likely taxi to hit the victim is Green in color because
P( Tg / Yb ) = 0.75 = 75%
Please help me and put it in your own words and only answer this question if you know how to do this thank you.
Answers
Answer:
20.75(8)+0.42(15)
Step-by-step explanation:
I did 0.42 because that is the cost per one pansy. While she is getting 8 trees so you multiply the cost of one tree by the number of trees total to get the total cost for all of the trees together. Then 0.42*15 is the total amount of money she will spend on pansies. Once she knows how much she will spend on pansies then she can by the six packs but if she was to buy 2 six packs she would still need to get half a pack of pansies to get 15 because 15 does not go into 6 evenly.
Please help me with the problem below!
I will give brainliest and 50 points.
Answers
Answer: Bro there nothing to answer??? there is no problem below???
Step-by-step explanation:
The shaded area inside the pentagon is defined by 5 inqualities
one of these inequalities is y is less than equals to 1/2.x+4. Find the other 4 inqualities
30 points for answer+brainliest(no fake answer or else i report)
Answers
The shaded area inside the pentagon is defined by the following five inequalities: y ≤ 1/2 x + 4 x ≤ -2 y ≥ 1 x ≥ 4 y ≥ 2x - 5 y ≤ -1/2 x
What is pentagon ?
A pentagon is a polygon with five sides and five angles. It is a two-dimensional geometric shape that is commonly studied in geometry
To find the other four inequalities that define the shaded area inside the pentagon, we need to analyze the graph of the inequality y ≤ 1/2 x + 4 and consider the constraints imposed by the five sides of the pentagon.
First, let's graph the inequality y ≤ 1/2 x + 4:
graph of y ≤ 1/2 x + 4
The shaded region below the line y = 1/2 x + 4 represents all the points (x, y) that satisfy the inequality.
Next, let's examine the constraints imposed by the five sides of the pentagon.
The leftmost side of the pentagon is a vertical line passing through x = -2. This means that x is less than or equal to -2 for all points on this side of the pentagon:
x ≤ -2
The bottom side of the pentagon is a horizontal line passing through y = 1. This means that y is greater than or equal to 1 for all points on this side of the pentagon:
y ≥ 1
The rightmost side of the pentagon is a vertical line passing through x = 4. This means that x is greater than or equal to 4 for all points on this side of the pentagon:
x ≥ 4
The top side of the pentagon is defined by the equation y = 2x - 5. This means that y is greater than or equal to 2x - 5 for all points on this side of the pentagon:
y ≥ 2x - 5
Now we need to find the last inequality. We know that the pentagon is bounded and the only side left is the slanted side from (0,0) to (-2,1). To find the inequality for this line, we can use the point-slope form of a line:
y - y1 = m(x - x1)
where m is the slope of the line and (x1, y1) is a point on the line. From the coordinates of the two endpoints, we can determine that the slope of the line is:
m = (1 - 0) / (-2 - 0) = -1/2
Let's use the point (0, 0) as our reference point, so we have:
y - 0 = (-1/2)(x - 0)
Simplifying, we get:
y = -1/2 x
This means that y is less than or equal to -1/2 x for all points on this side of the pentagon:
y ≤ -1/2 x
Therefore, the shaded area inside the pentagon is defined by the following five inequalities: y ≤ 1/2 x + 4 x ≤ -2 y ≥ 1 x ≥ 4 y ≥ 2x - 5 y ≤ -1/2 x
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The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes). The monthly cost for 48 minutes of calls is $17.01 and the monthly cost for 86 minutes is $21.95. What is the monthly cost for 56 minutes of calls?
Answers
The monthly cost for 56 minutes of calls is given as follows:
$18.05.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:
m represents the slope of the function, which is by how much the dependent variable y increases or decreases when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.For 38 minutes of call, the price increases by $4.94, hence the slope of the linear function, representing the cost per minute, is given as follows:
m = 4.94/38
m = 0.13.
56 minutes is 30 minutes less than 86 minutes, hence the cost is given as follows:
C(56) = 21.95 - 30 x 0.13
C(56) = $18.05.
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An elected official claims that more than
70%
of his electorate agree with stronger gun control laws. A survey of
n=100
electors showed that 80 agree with stronger gun control laws. What is the
p
-value of the test? ( Round to three decimal places)
Answers
The answer to this Question based on survey is 12.5%
What is survey?
It is a question answer based campaign in which opinions from large audiences are recorded and used for data analytics
Solution:
The elected official claims that he 70% people agree on a particular case
lets remember what he claims but yhis was not based on the survey
But survey of 100 people showed that 80% of agreed with that same particular case
but both can't be true at same time hence difference in their answers is
80-70/80 * 100
= 12.5%
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Help with math problems
Answers
The answer choice which is not a true statement include the following: C. the solution set of |3k + 3| ≤ -9 is {k|-4 ≥ k ≥ 2}.
What is an inequality?In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;
Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).In order to determine the solution set to the given inequality, we would write out the absolute value function (inequality) as shown below.
|3k + 3| ≤ -9
Since |3k + 3| would always be positive and negative nine (-9) is negative, |3k + 3| will always be greater than negative nine (-9), and as such, the inequality cannot be true and has no solution set.
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