What is the volume of the triangular prism?
A) 57.75 m3
B) 115.5 m3
C) 231.0 m3
D) 462.0 m3
Answers
Answer:
B) [tex]115.5m^3[/tex]
Step-by-step explanation:
to find the volume we need to find first the area of the triangle, and then multiply by 11 which is the length of the prism:
the measurements are:
[tex]base=7m[/tex]
[tex]height=3m[/tex]
[tex]length=11m[/tex]
the area of the triangle in one side is:
[tex]triangle=\frac{(base)(height)}{2} \\triangle=\frac{(7m)(3m)}{2}\\ triangle=\frac{21m}{2}\\ triangle=10.5m^2[/tex]
and now to find the volume of the prism we multiply the area of the triangle by the length of the prism:
[tex]volume=(triangle)(height)\\volume=(10.5m^2)(11m)\\volume=115.5m^3[/tex]
which is option B)
Answer:
115.5 [tex]m^{3}[/tex]
Step-by-step explanation:
V = 1/2a·c·h
V = 1/2(3)(7)(11) = 115.5
Related Questions
Solve 92x = 66.
Round to the nearest ten-thousandth.
Answers
Answer:
x = 66/92
Step-by-step explanation:
divide both sides by 92
Answer:
x=33/46
Step-by-step explanation:
92x/92=66/92
x=66/92
x=33/46
Which expression is represented by the
phrase "the square of y decreased by
quotient of 36 and 6"?
Answers
Answer: y^2 - 6
Step-by-step explanation:
We are given the statement which is:
The square of y decreased by the quotient of 36 and 6
We need to get the mathematical expression for the question.
Power 2 is used for square and
The sign "/" is used for quotient or division.
The sign "-" is used to subtract or decrease.
Using the sign above,
Square of y = y^2
Quotient of 36 and 6 = 36/6
The square of y decreased by the quotient of 36 and 6 = y^2 - 36/6
= y^2 - 6
Therefore, the required expression is:
y^2 - 6
The phrase is y^2 - 6.
The phrase "the square of y decreased by the quotient of 36 and 6" translates to the mathematical expression y2 - (36 / 6). This expression involves two operations:
Finding the square of y, which is y multiplied by itself (y2).Calculating the quotient of 36 and 6, which is 36 divided by 6, resulting in 6.Then, you decrease the square of y by this quotient, which gives you the final expression y2 - 6.
Callie has a new kitten. The kitten weighs 3 pounds less than half the weight of Callie's cat. Together the cat and the kitten weigh 18 pounds. Which system of equations could be used to find the weight of each animal?
Answers
Answer: C
Step-by-step explanation:
First let’s identify that:
y = the kitten
x = the cat
Part 1 : The kitten weighs 3 pounds less than half the weight of Callie's cat.
We know that the kitten is half the size of the cat, which means the equation now looks like this:
x = [tex]\frac{1}{2}[/tex]y
But we also know that the kitten is 3 less than that equation, so now the equation is:
x = [tex]\frac{1}{2}[/tex]y -3
Part 2: Together the cat and the kitten weigh 18 pounds
Now, we have to use the other statement:
y + x = 18
But, that’s not one of the options, so we have to switch the x around and make it negative.
y = -x + 18
These are your answers!
The system of equations could be used to find the weight of each animal is option C.
Calculation of an equation:Since Callie has a new kitten. The kitten weighs 3 pounds less than half the weight of Callie's cat. Together the cat and the kitten weigh 18 pounds.
Here we assume the kitten be x and cat be y
So, the equation should be
[tex]y = 1\div 2x - 3\\\\[/tex]
And,
y = -x + 18
Learn more about equation here: https://brainly.com/question/10587623
Solving systems of equations algebraically.
y = -3x + 4
y= 1
And SHOW YOUR WORK PLEASE!!!!
Answers
Answer:
x = 1
y = 1
Step-by-step explanation:
Since it gives you the value of y already, all you need to do is plug it into the equation, like so:
y = -3x + 4
1 = -3x + 4
Now, subtract 4 from both sides:
1 = -3x + 4
-4 - 4
________
-3 = -3x
Finally, divide both sides by -3:
-3 = -3x
1 = x
So now you have, x = 1 and y = 1.
If the endpoints AB of have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of ? AB
Answers
Answer:
(4,3)
Step-by-step explanation:
The coordinate of midpoint of two end points (x1,y1) and (x2, y2) is given by
[tex]( \frac{x1 + x2}{2} \: \: \: \: \: \frac{y1 + y2}{2} )[/tex]
Here, x1=9 y1=8
x2=-1 and y2=-2
So the midpoint of AB is
[tex]( \frac{9 + ( - 1)}{2} \: \: \frac{8 + ( - 2)}{2} \: )[/tex]
[tex] (\frac{9 - 1}{2} \: \: \frac{8 - 2}{2} \: \: ) \\ ( \frac{8}{2} \: \: \frac{6}{2} \: )[/tex]
(4,3)
Answer and Step-by-step explanation:
Given that -5 < -3, which statement is not true?
-5 is to the left of -3 on the number line.
-3 is to the right of -5 on the number line.
-3 > -5
-3 is less than -5,
Answers
D is incorrect because the higher the negative number is the less it becomes. So, the answer is -3 is less than -5.
Complete the statement. The lines shown in the graph have the same A) x-intercept. B) y-intercept. C) equation. D) slope.
Answers
Answer:
B. Y-intercept
Step-by-step explanation:
Here's the proof!
Answer: b/y-intercept
Step-by-step explanation:
i did it and got it right
Use a number line to name two numbers that are the same distance apart as 3.2 and 4.4.
Answers
Answer:
3.3 and 4.5
Step-by-step explanation:
Answer:
1.2 and 2.4
Step-by-step explanation:To find the distance between the two you subtract the lesser number from the number with a higher value. In htis case, that'd be 1.2. From there you can use any number let's say 5 and add 1.2 to it, 6.2 and you'd have your two numbers, 5 and 6.2.
y = |x| translated one unit to the left 30 POINTS
Answers
Answer:
y = |x+1|
Step-by-step explanation:
To shift a function left, add inside the function's argument: f (x + b)
y = |x|
We will add 1 to x
y = |x+1|
To shift a function right, subtract inside the function's argument: f (x - b)
Answer:
y = |x+1|
Step-by-step explanation:
In y = |x|, the vertex is at (0,0)
When translated one unit left, vertex will be at (0,-1)
Equation:
y = |x - (-1)|
y = |x+1|
Use a net to find the surface area of the cylinder. Use 3.14 for π.
Answers
Step-by-step explanation:
Hope this helps you with this question
The surface area of the cylinder has a radius of 2 cm and a height of 5 cm is 62.8 square cm.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
The surface area of the cylinder is given as
[tex]\rm Surface \ area = 2 \pi rh[/tex]
We have
r = 2 cm
h = 5 cm
Then the surface area will be
[tex]\rm Surface \ area = 2 \times 3.14\times 2\times5\\\\Surface \ area = 62.8 \ cm ^2[/tex]
More about the cylinder link is given below.
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Una rampa para descargar mercancía mide 2m. Si la distancia a la que se coloca la rampa es igual a la altura, ¿qué altura alcanza?
Answers
Answer:
~14.14m.
espero que esto ayude :)
A polynomial of the 5th
5thdegree with a leading coefficient of 77 and a constant term of66
Answers
Answer:
77x^5+66
Step-by-step explanation:
The leading coefficient is the first number in the polinomial, the degree is the exponent and the constant is the last term
Answer:
7x5 + 2x2 + 6
Step-by-step explanation:
like it up!
will give the brainliest!!!
Answers
the answer should be 320.4
Answer:
320.4
Step-by-step explanation:
3. A savings account is started with an initial deposit of $500. The account earns 1.5% interest compounded
annually.
(a) Write an equation to represent the amount of money in the account as a function of time in yea
(b) Find the amount of time it takes for the account balance to reach $800.
Answers
The equation for the amount in a savings account over time is provided, and the time to reach a balance of $800 is calculated.
The equation representing the amount of money in the account over time is A(t) = [tex]500(1 + 0.015)^t[/tex] where t is the number of years.
To find the time it takes for the account balance to reach $800, we substitute $800 for A(t) in the equation and solve for t.
For $800 = [tex]500(1 + 0.015)^t[/tex], solving for t gives t = 7.31 years.
Explain when the median of a data set is a better
measure of center than the mean.
Answers
Answer:
SAMPLE ANSWER
Step-by-step explanation:
When there is an outlier in the data set, the dot plot or histogram will be skewed. In a skewed representation, the mean is pulled up or down toward the tail of the data. Therefore, skewed data affects the mean more than the median.
The median is a better measure of center than the mean in situations where the data is skewed or contains extreme outliers.
What is a median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
The median and mean are both measures of central tendency used to describe the center of a data set.
The mean is the sum of all the values in a data set divided by the total number of values, while the median is the middle value when the data set is ordered from least to greatest.
The median is a better measure of center than the mean in situations where the data is skewed or contains extreme outliers.
For example, in a data set where one or a few very large or very small values are present, the mean will be influenced by these values, and will not be representative of the central tendency of the data set as a whole.
In such cases, the median is a more appropriate measure of the center as it is not influenced by outliers and better represents the "typical" value in the data set.
Thus,
When a data set is skewed or contains outliers, the median is a better measure of the center than the mean.
Learn more about the median here:
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Four times the square of a certain number increased by 6 times the number equals 108. Find the number
Answers
So to do this you’ll make an equation x will represent the number so 4x^2+6x=108 so we want the equation to equal 0 so we can solve it to do that you have to subtract 108 from both sides so it ends up being 4x^2+6x-108=0 we want to isolate the x onto one side and division property allows us to divide both sides by 2 the reason it’s two is because 2 is the biggest divisible number that every number in the equation is divisible by so once you divide every number by two you get 2x^2+3x-54=0 now you have to factor cause but since you only have 3x and nothing else to factor with you have to write 3x as a difference so you could do 2x^2+12x-9x-54=0 so you are complicating the problem so you can factor out 2x from the expression so 2x(x+6)- 9(x+6)=0 the 54 got factored because it’s divisible by 9 that 6 is in replace of the 54 cause if you solved it 9x6 is still 54 next factor out x+6 so (x+6) x (2x-9) =0 so one of the two have to equal 0 so right the equations separately x+6=0 minus 6 from both sides and you’ll get x to equal -6 and 2x-9=0 add 9 to both sides and you’ll get 2x=9 divide both sides by 9 and you’ll get x to equal 4.5 when you plug 4.5 and -6 for x the equation works out
Sari drove 167 miles on the first day of her two-day trip. She drove 21 fewer miles the second day of her trip. What is the total number of miles that Sari drove on her trip?
Answers
ps help me i ran out of points but pleaes
Answers
Answer:
a) 9^3 square root 13x. the exponents are the same so 4^3 and 5^3 become 9^3. just add the square roots since they have the same variable.
Step-by-step explanation:
Can someone please help me
Answers
Find the volume of the composite solid. Round to the nearest tenths. Radius:2 height:4
Answers
Answer:
60
Step-by-step explanation:
Using the number line below find the
probability, as a decimal to the nearest
hundredth, that a point on HP lies between L
and K.
Answers
Answer:
0.3
Step-by-step explanation:
To find this probability, we need to know the distance from point H to P and the distance from point L to K, and then the probability of a random point in HP being inside LK will be the division of the distance from L to K by the distance from H to P:
H to P: distance = 15 - 5 = 10
L to K: distance = 10 - 7 = 3
Probability: LK/HP = 3/10 = 0.3
Two pyramids like the one below sit on top of the gates at the entrance to the bridge.
Which expression shows how to determine the minimum amount of cement used to make each of the pyramids?
1.1/3(10)(10)(12)
2.1/2(10)(10)(12)
3.4[1/2(10)(13)]+10(10)
4.4[1/3(10)(13)]+10(10)
Answers
Answer:
A
Step-by-step explanation:
Step-by-step explanation:
We need to find the volume of the pyramid. The volume of a square pyramid is denoted by: , where B is the base area and h is the height.
Here, we know that the height of the pyramid is 12 and that the square base has dimensions 10 by 10. That means the base area is just 10 * 10 and the height is h = 12.
Plug these into the equation:
Thus, the answer is A.
Hope this helps!
On a coordinate plane, 2 lines intersect at (0, 5). What is the solution of the system of equations? ( , )
Answers
Answer:
(0,5)
Step-by-step explanation:
I think...
I'm 99.9% sure that I'm wrong...
it issssssss (0,5) booooooooooooooom now you get a A+ on yo assinement ITS COREECT ON EDGEUNITEE
At the school carnival, Jade has a game booth with a spinner. The banner at her booth reads "80% chance of winning!" What is the chance that a player may not win?
Answers
Answer:
20%
Step-by-step explanation:
100-80=20
Answer:
20% chance a player may not win
Step-by-step explanation:
100- 80 = 20
The lifespan of zebras in a particular zoo are normally distributed. the average zebra lives 20.5 years the standard deviation is 3.9 years.
use the empirical rule (68-95-99.7%) to estimate the probability of a zebra living less than 32.2 years.
Answers
The empirical rule tells us that approximately 99.7% of data in a normal distribution falls within three standard deviations of the mean. The lifespan of 32.2 years is three standard deviations from the mean lifespan of zebras in the zoo, so the probability of a zebra living less than 32.2 years is about 99.7%, which is very high.
To the lifespan of zebras being normally distributed, with a mean of 20.5 years and a standard deviation of 3.9 years.
To estimate the probability of a zebra living less than 32.2 years, we can use the empirical rule, also known as the 68-95-99.7 rule. This rule states that for a normal distribution:
Approximately 68% of the data falls within one standard deviation of the mean (both above and below).
About 95% fall within two standard deviations.
Almost all, or 99.7%, fall within three standard deviations.
To find the probability of a zebra living less than 32.2 years, we first calculate how many standard deviations away from the mean this is, which is called the z-score.
The difference between 32.2 and the mean is 32.2 - 20.5 = 11.7 years.
Dividing this by the standard deviation of 3.9 years, we get a z-score of approximately 3, indicating that 32.2 years is three standard deviations above the mean.
According to the empirical rule, the probability of a zebra living less than 32.2 years would include almost all of the distribution or approximately 99.7%.
Therefore, the probability of a zebra living less than 32.2 years is very high, close to 100%.
please help. find the missing side
Answers
Answer:
x = 10
Step-by-step explanation:
This is because the formula of the area of a triangle is b x h divided by 2.
Since 8 is the base, you have to find what to multiply it by to get 80 (since 80 divided by 2 is the answer, 40).
80 divided by 8 is 10, therefore the base, or x, is 10.
You can put it in the formula to double check and it will equal 40.
Sal owns a clothing store that sells shorts and graphic T-shirts. He sells the
shorts for $14 each and the T-shirts for $6 each and. He is limited to the
constraints show by the set of inequalities below. Which of the points (s, t)
will maximize Sal's profit?
SS 30 - 37
s215 - +
SS 25 - 7
s20
t20
O A. (7.5, 7.5)
O B. (22.5, 2.5)
O c. (25,0)
Answer: (25,0) aka. C
Answers
Answer:
c. (25,0)
Step-by-step explanation:
Hope this helps!
The maximum profit is achieved at (25, 0), which means Sal should sell 25 shorts and 0 T-shirts to maximize his profit. So, the answer is (C) (25, 0).
What is profit?Profit is simply the difference between total revenue and total expenses. It shows you how much money your company made after expenses.
Profit, as the primary goal of any business, is a clear indicator of how your company is functioning and performing in the market.
To maximize the profit, we need to use the objective function, which is given by:
P = 14s + 6t
Where s is the number of shorts sold and t is the number of T-shirts sold.
The constraints are:
s + t ≤ 30 (constraint on the total number of items sold)
2s + 5t ≤ 75 (constraint on the amount of shelf space)
The feasible region is the shaded area above.
We can now evaluate the objective function at each corner point of the feasible region to find the maximum profit:
At (0, 20), P = 6(20) = 120
At (7.5, 7.5), P = 14(7.5) + 6(7.5) = 165
At (15, 15), P = 14(15) = 210
At (20, 5), P = 14(20) + 6(5) = 290
At (25, 0), P = 14(25) = 350
Therefore, the answer is (C) (25, 0).
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If the dimensions of a solid proportionally increase by a scale factor of 5/2, by what factor does the surface area increase?
A. 5/2
B. 5/4
C. 25/2
D. 25/4
Answers
Answer:
D
Step-by-step explanation:
Given that the dimensions of a solid are in proportion a : b, then
then the ratio of the area is a² : b²
Thus
scale factor = [tex]\frac{5}{2}[/tex] , then
area factor = [tex]\frac{5^2}{2^2}[/tex] = [tex]\frac{25}{4}[/tex] → D
Answer:
D
Step-by-step explanation:
Let m=6x+5m=6x+5m, equals, 6, x, plus, 5.
Which equation is equivalent to (6x+5)^2-10=-18x-15(6x+5)
2
−10=−18x−15left parenthesis, 6, x, plus, 5, right parenthesis, squared, minus, 10, equals, minus, 18, x, minus, 15 in terms of mmm ?
Answers
We have been given that [tex]m=6x+5[/tex]. We are asked to rewrite the equation [tex](6x+5)^2-10=-18x-15[/tex] in terms of m.
First of all, we need manipulate right side of our given equation.
We will factor out -3 from right side of equation as:
[tex](6x+5)^2-10=-3(6x+5)[/tex]
Upon substituting [tex]m=6x+5[/tex] in our equation, we will get:
[tex](m)^2-10=-3(m)[/tex]
[tex]m^2-10=-3m[/tex]
Upon writing this equation in general form of equation, we will get:
[tex]m^2+3m-10=-3m+3m[/tex]
[tex]m^2+3m-10=0[/tex]
Therefore, the equation [tex]m^2+3m-10=0[/tex] is equivalent to our given equation.
A lunch menu consists of 4 different kinds of sandwiches, 5 different kinds
of soup, and 3 different drinks. How many choices are there of ordering a
sandwich, soup and drink?
Answers
Answer:
4 sandwich + 5 soup +3 drink
total = 20
choices of ordering a sandy , soup and drink =
3/12= 1/4
Final answer:
To determine the number of meal combinations, multiply the number of sandwich, soup, and drink options together. With 4 sandwiches, 5 soups, and 3 drinks, there are 60 different meal combinations.
Explanation:
The student's question is asking for the number of different combinations available when choosing one sandwich, one soup, and one drink from a menu with multiple options for each category. To calculate the total number of combinations, we apply the Fundamental Principles of Counting and use the Multiplication Principle. Since there are 4 kinds of sandwiches, 5 kinds of soup, and 3 drinks, the number of unique combinations can be found by multiplying these numbers together.
Number of combinations = Sandwich options × Soup options × Drink options
= 4 × 5 × 3
The calculation gives us 4 × 5 × 3 = 60 different combinations.