Answers
Step-by-step explanation:
2 basic objects are combined to this figure.
a prism or box of 20×8×18
a diagonally cut box (so, triangle shaped) of 8×18 base area and 10 being the triangle Hypotenuse.
the volume of the box is easy :
20×8×18 = 2,880
for the triangle-shaped half-box we need to get the height (the third leg of the side triangle).
we get this by Pythagoras
Hypotenuse² = leg1² + leg2²
10² = 8² + height²
100 = 64 = height²
36 = height²
height = 6
so, the area of a side triangle is
8×6/2 = 8×3 = 24
and the volume of the half-box is
24 × 18 = 432
so, the total volume of the figure is
2,880 + 432 = 3,312
Related Questions
constraints aregroup of answer choicesquantities to be minimized in a linear programming model.restrictions that limit the settings of the decision variables.input variables that can be controlled during optimization.quantities to be maximized in a linear programming model.
Answers
Constraints are restrictions that limit the settings of the decision variables in a linear programming model.
Constraints in a linear programming model are restrictions that limit the settings of the decision variables, which are input variables that can be controlled during optimization.
These decision variables are often defined by specific quantities to be maximized or minimized in the model.
Therefore, constraints are a group of answer choices or restrictions that must be considered when developing a mathematical model to optimize certain variables or quantities.
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Is it possible to form a triangle with side lengths , , and ? If so, will it be scalene, isosceles, or equilateral?A.Yes; scaleneB. Yes; isoscelesC. Yes; equilaterald. no
Answers
No. A triangle cannot be formed with side lengths of 2, 4, and 5. option (d)
The sum of the lengths of the two shorter sides (2 + 4 = 6) must be greater than the length of the longest side (5). This is known as the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In other words, to form a triangle, the sum of the lengths of the two shorter sides must be greater than the length of the longest side. In this case, the two shorter sides do not meet this requirement, so it is not possible to form a triangle with these side lengths.
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Complete Question:
Is it possible to form a triangle with side lengths 2, 4, and 5? If so, will it be scalene, isosceles, or equilateral?
A.Yes; scalene
B. Yes; isosceles
C. Yes; equilateral
d. no
Forest rangers found that a 20 foot tree casts a 10 foot shadow. How tall is the
neighboring tree that casts an 8 foot shadow?
Answers
x ft. 8ft
X=20•8/10
X=160/10
X=16
The tree is 16 ft tall
A car traveled at an average speed of 80 miles per hour for 3 hours and it consumed fuel at the rate of 34 miles per gallon. Approxamitly how many gallons of fuel did the car use for the entire 3 hour trip?
Answers
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
Answers
Answer:
the graph has a positive slope with a y-intercept of 5
y = 1/4x + 5
Step-by-step explanation:
i found the slope by using points (0,5) and (4,6)
slope formula says to subtract the y-values and divide by difference of x-values:
(6-5) / (4-0) = 1/4
Please need help please please
Answers
Deductive reasoning uses all of the following to draw logical conclusions except:
A.) Rules
B.) Laws
C.) Patterns
D.) Facts
Answers
Answer:
Patterns
Step-by-step explanation:
Deductive reasoning is used to prove conjectures to be true
Answer:
patterns
Step-by-step explanation:
Deductive reasoning is a simple form of arriving at a conclusion by joining two or more pieces of information. Deductive reasoning is used to prove conjectures to be true.
how to know if a function has a vertical asymptote
Answers
To determine if a function has a vertical asymptote, you need to consider its behavior as the input approaches certain values.
A vertical asymptote occurs when the function approaches positive or negative infinity as the input approaches a specific value. Here's how you can determine if a function has a vertical asymptote:
Check for restrictions in the domain: Look for values of the input variable where the function is undefined or has a division by zero. These can indicate potential vertical asymptotes.
Evaluate the limit as the input approaches the suspected values: Calculate the limit of the function as the input approaches the suspected values from both sides (approaching from the left and right). If the limit approaches positive or negative infinity, a vertical asymptote exists at that value.
For example, if a rational function has a denominator that becomes zero at a certain value, such as x = 2, evaluate the limits of the function as x approaches 2 from the left and right. If the limits are positive or negative infinity, then there is a vertical asymptote at x = 2.
In summary, to determine if a function has a vertical asymptote, check for restrictions in the domain and evaluate the limits as the input approaches suspected values. If the limits approach positive or negative infinity, there is a vertical asymptote at that value.
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Which term describes the red curve in the figure bellow?
Answers
Answer:
Letter B. Hyperbole is your answer
What is an equation of the line that passes through the points (5,4) and (2,-2)?
Answers
maybe this will help
https://socratic.org/questions/what-is-the-equation-of-the-line-that-passes-through-2-2-and-5-4#475768
Can someone check if I’m right on this! Kinda in a rush
Answers
Answer:
Yes, you are correct
Step-by-step explanation:
Joe makes an hourly wage of $8.10. For hours worked over 40, he is paid at a rate of $12.15 per hour. Last week, joe worked 45 hours.
What is joes gross pay for this pay period
Answers
To determine Joe's gross pay for this pay period, we need to find out how much he made for the first 40 hours and how much he made for the additional 5 hours he worked.
To calculate his pay for the first 40 hours:
$8.10 per hour x 40 hours = $324.00
To calculate his pay for the additional 5 hours (over 40 hours):
$12.15 per hour x 5 hours
= $60.75
Now we can add the two amounts to get Joe's gross pay for the pay period:
$324.00 + $60.75 = $384.75
Therefore, Joe's gross pay for this pay period is $384.75.
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the length of each side of this regular pentagon is 37 mm. what is the perimeter
Answers
Answer:
185mm
Step-by-step explanation:
37 times 5 is 185
Answer:
185 mm
Step-by-step explanation:
There are 5 sides in a pentagon. Each side is 37 mm. Add 37 5 times or multiply 37 by 5.
37mm + 37mm + 37mm + 37mm + 37mm
or
37mm × 5
Understanding the ConceptsIn Exercises 7 and 8, fill in each blank with the appropriate word or phrase.7. To perform a t-test when the sample size is small, the sample must show no evidence of strong and must contain no .
Answers
Answer:
7. To perform a t-test when the sample size is small, the sample must show no evidence of strong skewness and must contain no outliers.
Step-by-step explanation:
These are the two conditions required for performing a t test
- Sample Size: A small sample size can reduce the statistical power of a t-test, making it more challenging to detect significant differences between groups. Generally, a larger sample size is desirable to obtain more reliable and representative results.
- Skewness: Skewness refers to the asymmetry of the distribution of data. In a t-test, assuming normality of the data is important for accurate results. If the data exhibits strong skewness, the assumption of normality may be violated. In such cases, alternative non-parametric tests or transformations of the data may be more appropriate.
- Outliers: Outliers are extreme values that significantly differ from the rest of the data. They can have a disproportionate impact on the results of a t-test, particularly when the sample size is small. Outliers can distort the mean and affect the assumptions of normality and homogeneity of variance.
While the presence of skewness or outliers does not prohibit the use of a t-test with a small sample size, it is important to interpret the results with caution and consider alternative approaches if necessary. Robust statistical methods, such as non-parametric tests or bootstrapping, can be useful when dealing with non-normal or outlier-prone data, especially with small sample sizes. Additionally, visual inspection of the data distribution, such as through histograms or box plots, can help identify potential skewness or outliers.
Fogo de Chao is offering a 14% discount for purchasing 3 entrees. Each entree cost $35.
What is the total price of 3 entrees including 6% sales tax?
Answers
Answer:
The total price to pay is $95.718.
Step-by-step explanation:
Solve for the total cost of the entrees first
$35(3) = $105
Taking off 14%, that means that the customer is only to pay
100% - 14% = 86% of the total price or 0.86 in decimal
Discounted price = $105(0.86)
Discounted price = $90.30
Lastly, add the 6% sales tax or 0.06 in decimal
Total price = $90.30(1.06)
Total price = $95.718
Which expression is equivalent to the given expression after using the distributive property? 6(x + 3) + 11x 6-x+63 +6-11x 6 (x+3+ 11)x 6-x+3 + 11x □6-x+6-3 + 11x
Answers
I am a bit confused by the way this is worded, but I believe I understand.
So, here you go.
6(x + 3) + 11x
6x + 18 + 11x -- Distribute the 6.
17x + 18 -- Add like terms.
If this is not an option, then please clarify your question and I will attempt to answer again.
On a map, the scale is inches Going from home to the first miles destination is 1.5 inches, and then from there to the next destination is 2.25 inches. How many miles were traveled?
Answers
Although part of your question is missing, you might be referring to this full question: On a map, the scale is inches/miles = 1/75. Going from home to the first destination is 1.5 inches, and then from there to the next destination is 2.25 inches. How many miles were travelled?
281.25 miles were travelled.
The distances travelled in inches need to be added.
1.5inches + 2.25inches = 3.75 inches
Let y be the number of miles. Thus, the proportion for the given situation is,
1/75 = 3.75/y
In the next step, it needs to be cross-multiplied,
1×y = 3.75×75
Thus,
y = 281.25
So, 281.25 miles were travelled.
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MY LAST 2 QUESTION WILL FOREVER BE GRATEFUL PLS HELP WILL GIVE BRANLIEST!! AT LEAST TAKE A LOOK!!!! PLS I AM BEGGING!!!
3. Which statement could be proven false using a counterexample?
A) All multiples of 4 are also multiples of 2.
B) There are no prime even numbers.
4. ) A counterexample must satisfy the hypothesis but refute the _____________.
A) converse
B) contrapositive
C) conclusion
D) congruence
Answers
Answer:
conclusion
Step-by-step explanation:
Statement (B) "There are no even prime numbers" can be proved wrong using a counterexample.
What are prime numbers?Any natural number higher than 1 that is not the sum of two smaller natural numbers is referred to be a prime number. A composite number is a natural number greater than one that is not prime. or instance, the number 5 is prime because there are only two ways to write it as a product, 1 5 and 5 1.So, as we all know that all multiples of 4 are also multiples of 2.
But the statement (B) is wrong as there are prime even numbers.
For example: 2
2 × 1 1 × 2The factor of 2 has only 1 and the number itself which is 2 (Even) and no other number.
Therefore, statement (B) "There are no even prime numbers" can be proved wrong using a counterexample.
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The correct question is given below;
3. Which statement could be proven false using a counterexample?
A) All multiples of 4 are also multiples of 2.
B) There are no prime even numbers.
Express the inequality a < -0.18 using interval notation
Answers
Answer:
( -∞, -0.18 )
Step-by-step explanation:
a < -0.18
Interval Notation: ( -∞, -0.18 )
What is the simplified form of
Answers
I HOPE IT WILL HELP YOU.
Have a great day ahead.
Thank you.
^ - ^
What is the ratio of A's to B's?
A B B B A A A
Answers
Answer:
4:3
Step-by-step explanation:
There are 4 A's and 3 B's, so the ratio would be 4:3.
The ratio would not be 3:4, because you are asking for A's to B's, and not B's to A's.
Answer:
4:3
Step-by-step explanation:
There are 4 A's in this set and only 3 B's. Often confused as 3:4, however, that would be the ratio of B's to A's. This ration can't be simplified either leaving it at 4:3.
Hope this helps! :)
Y=5x
A proportional relationship
Answers
Yes, the equation y = 5x represents a proportional relationship
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is y=5x.
In a proportional relationship, the ratio of y to x is constant.
In the given equation the variable x and y has a proportional relationship.
The equation is in the form of y=mx+b
the ratio of y to x is 5, meaning that for every unit increase in x, y increases by 5 units.
Hence, Yes, the equation y = 5x represents a proportional relationship
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If s = 6 and t = 4, find the value of x.
x = 4 + s - t
Answers
Answer:
x = 6
Step-by-step explanation:
s = 6
t = 4
x = 4 + s - t
Substituting s and t in equation,
x = 4 + 6 - 4
x = 6
Answer:
6
Step-by-step explanation:
s=6
t=4
x= 4+6-4
x=10-4
x=6
Therefore; the final result is 6
How does the graph of g(x) = (x − 8)3 + 3 compare to the parent function f(x) = x3?
a. g(x) is shifted 8 units to the left and 3 units up.
b. g(x) is shifted 3 units to the right and 8 units down.
c. g(x) is shifted 8 units to the right and 3 units up.
d. g(x) is shifted 3 units to the right and 8 units up.
Answers
Answer:
The right answer is C.
Step-by-step explanation:
The parent function is:
\(f(x)=x^3\)
If something is subtracted from variable \(x\) it means the graph shifted toward right and something is added to \(y\) value then the graph is shifted up.
\(f(x)=(x-8)^3\)
graph shifted toward right by \(8\) units right
\(f(x)=(x-8)^3+3\)
graph shifted toward right by \(3\) units up
Thus the new function is:
\(g(x)=(x-8)^3+3\)
\( \frac{1}{5} + \frac{3}{4} \)
Answers
Answer:
19/20
Step-by-step explanation:
the answer is 19/20 <3
Step-by-step explanation:
<3
<3
<3
<3
hope you have a good day ^^<3
I need a bit of help
Answers
Answer:
I believe the solution is -12
Step-by-step explanation:
please help me thank you if you do
Answers
2 2/3 of a fraction
________________
2 full and 2/3
- Jackson
in a certain location of a highway, vehicle arrivals are poisson distributed with an hourly traffic flow of 210 veh/h. taking that into consideration, answer the following questions using 4 decimal places: a. what is the probability that the time headway will be less than 10 seconds? b. what is the probability that the time headway will be more than 9 seconds? c. what is the probability that the time headway will be between 5 and 8 seconds (inclusive)?
Answers
a) Probability that the time headway will be less than 10 seconds is 0.0228.
b) Probability that the time headway will be more than 9 seconds is 0.8737.
c) Probability that the time headway will be between 5 and 8 seconds (inclusive) is 0.2331.
(a) The probability that the time headway will be less than 10 seconds can be found by using the Poisson distribution formula and substituting λ = 3.5 (since the traffic flow is 210 veh/h, which corresponds to an average of 3.5 veh/min). Thus,
P(X < 10) = 0.0228.(b) The probability that the time headway will be more than 9 seconds is equal to 1 minus the probability that the time headway will be less than or equal to 9 seconds. Thus,
P(X > 9) = 1 - P(X ≤ 9) = 1 - 0.1263 = 0.8737.(c) The probability that the time headway will be between 5 and 8 seconds (inclusive) can be found by subtracting the probability that the time headway is less than or equal to 4 seconds from the probability that the time headway is less than or equal to 8 seconds, i.e.,
P(5 ≤ X ≤ 8) = P(X ≤ 8) - P(X ≤ 4) = 0.3159 - 0.0828 = 0.2331.Learn more about Probability:
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Find the area of a circle with radius, r = 5.72m.
Give your answer rounded to 2 DP.
r
The diagram is not drawn to scale.
Answers
Answer:
A≈102.79
Step-by-step explanation:
The formula for area of a circle is πr² so we need to substitute the r by 5.72.
π×5.7² = 102.79 m²
Answer:
Approximately 102.79 meters squared
Step-by-step explanation:
pi times 5.72 meters squared
Hope this helps!
The bar graph shows the number of reserved campsites at a campground for one week. What percent of the reservations were for Friday or Saturday?
Reservations: Monday=5
Tuesday=3
Wednesday=4
Thursday=7
Friday=26
Saturday=30
Sunday=9
Answers
The percentage of the reservations were for Friday or Saturday is 67%
How to determine the percentage of the reservations were for Friday or Saturday?From the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the following data values for reservation
Monday = 5Tuesday = 3Wednesday = 4Thursday = 7Friday = 26Saturday = 30Sunday = 9The total number of reservations in the bar chart is then calculated as
Total number of reservations = 5 + 3 + 4 + 7 + 26 + 30 + 9
Evaluate the sum
So, we have the following representation
Total number of reservations = 84
The total number of reservations for Friday or Saturday is then calculated as
Total number for Friday or Saturday = 26 + 30
Evaluate the sum
So, we have the following representation
Total number for Friday or Saturday = 56
The percentage of the reservations were for Friday or Saturday is then calculated as
Percentage = Total number for Friday or Saturday/Total number of reservations
This gives
Percentage = 56/84
Evaluate
Percentage = 67%
Hence, the percentage is 67%
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