Answer:Triangular Pyramid Solved Examples Example 1: Find the surface area of a triangular pyramid with the base area is 28cm.sq., the perimeter is 20cm, slant length is 5cm. Solution: Surface area = [Base area] + ½ × Perimeter × [Slant length] = 28 + ½ × 20 × 5 = 28 + 50 = 78 cm.sq.
Step-by-step explanation:
For Thursday's English class, 4 students are assigned to give presentations. How many different ways can the teacher order the student presentations?
Answer:
24 ways
Step-by-step explanation:
By the Fundamental Counting Principle,
Number of permutations = 4 ⋅ 3 ⋅ 2 ⋅ 1
= 4!
= 24
There are 24 different ways the teacher can order the student presentations.
Find and interpret the mean absolute deviation of the data. $4.6,8.5,7.2,6.6,5.1,6.2,8.1,10.3$ The mean absolute deviation is . The values differ from the mean by an average of .
Using it's concept, it is found that:
The mean absolute deviation is 1.45.The values differ from the mean by an average of 1.45.What is the mean absolute deviation of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.In this problem, the mean of the data-set is given by:
M = (4.6 + 8.5 + 7.2 + 6.6 + 5.1 + 6.2 + 8.1 + 10.3)/8 = 7.075.
Hence, the mean absolute deviation is given by:
MAD = (|4.6-7.075| + |8.5-7.075| + |7.2-7.075| + |6.6-7.075| + |5.1-7.075| + |6.2-7.075| + |8.1-7.075| + |10.3-7.075|)/8 = 1.45
Then:
The mean absolute deviation is 1.45.The values differ from the mean by an average of 1.45.More can be learned about the mean absolute deviation at https://brainly.com/question/3250070
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find two integers whose sum 2and product is _3
Answer:
The two integers should be 3 and 1
Celine hosts a podcast about computers, and Paul hosts a podcast about parenting. Both podcasts have a set duration for each episode. Last year, Celine released 39 episodes and Paul released 42 episodes, for a total of 7,869 minutes of content. This year, Celine released 14 episodes and Paul released 41 episodes, which lasted a total of 6,117 minutes. How long is each episode?
Using a system of equations, it is found that each Celine episode is 65 minutes long and each Paul episode is 127 minutes long.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given by:
Variable x: Length of a Celine episode.Variable y: Length of a Paul episode.Last year, Celine released 39 episodes and Paul released 42 episodes, for a total of 7,869 minutes of content, hence:
39x + 42y = 7869
Then:
[tex]y = \frac{7869 - 39x}{42}[/tex]
This year, Celine released 14 episodes and Paul released 41 episodes, which lasted a total of 6,117 minutes, hence:
14x + 41y = 6117.
Since [tex]y = \frac{7869 - 39x}{42}[/tex]:
[tex]14x + 41\frac{7869 - 39x}{42} = 6117[/tex]
14x - 38.07x = -1564.64.
x = 1564.64/24.07
x = 65.
[tex]y = \frac{7869 - 39 \times 65}{42} = 127[/tex]
Hence, each Celine episode is 65 minutes long and each Paul episode is 127 minutes long.
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A sample of restaurants in a city shows that the average cost of an appetizer is $6.32 with a standard deviation of $0.47. A brand new restaurant wants to get noticed by offering appetizers for a much lower price. To determine the lower price, should the formula use a z-value that is greater than or less than -1?
I couldn't figure out how to answer a specific question on the site, but the answer is "Less than -1" because they are looking for a price that is lower then the average, or mean price. It should be -1 standard deviation or lower.
Hope this helps someone
To determine the lower price, the formula should use a z-value that is less than -1.
How to utilize the z-value?We are given;
Mean; x' = $6.32
Standard deviation; s = $0.47
A positive z-score indicates the raw score is higher than the mean average while a negative z-score indicates the raw score is below the mean average.
Now, we want to find out the lower price from the definition above, we have to use a negative z-score which in this case will be -1.
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Which of the following are NOT organizational structure for an informative essay?
A. cause and effect
B. chronological
C. equal parts
D. problem solving
89 90 91 92 96 96 99 99 find the median
Answer: The median is 96
Step-by-step explanation:
Yesterday, there were 80 problems assigned for math homework. Deb got 72 problems
correct and 8 problems incorrect. What percentage did Deb get correct?
Answer:
90%
Step-by-step explanation:
Do 72/80 to find the decimal
72/80=0.9
Then to convert decimal to percent move the decimal point two times to the right.
0.9=90%
Why is dividing a fraction by 3 and then multiplying by 2 the same as multiplying by 2/3?
please i need it now
Assume you are going to buy a new Nissan Rouge priced at $28250 and after the deal you have found out that the sales tax is 10%. Estimate the answer.
Answer:
≈2825
Step-by-step explanation:
28250*10%≈2825
Pay attention to the ≈ sign
Some children entered a dirt bike race. Sammi came in 12 minutes before Ali. Ali came in 9 minutes after Zack. Conner came in 4 minutes after Ali. Zack finished in 38 minutes. How many minutes did it take for Sammi to finish the race?
PLEASE HELP WILL MARK BRAINLIEST
Answer:
17/18pi or 2.97
Step-by-step explanation:
170 degrees to radian
170 * pi / 180 degrees
so, 170pi/180
17/18pi or 2.97
The quotient of c and 6
Answer:
c/6 or c divided by 6
Step-by-step explanation:
Teresa’s age is 5 years more than twice Ben’s age.
If Ben is x years old, the expression gives the sum of Ben’s and Teresa’s ages.
If Ben is 7 years old, the sum of Ben’s and Teresa’s ages is years.
Answer:
The first answer is 2x + 5
The second answer is 19
A computer can sort x objects in t seconds, as modeled by the function
below:
t=0.003.x² +0.001.x
How long, in seconds, will it take the computer to sort 12 objects?
Round your answer to the nearest hundredth of a second.
We are given that, a computer can sort x objects in t seconds, and the below relations is satisfied for each x and t
t = 0.003 x² + 0.001 xFor 12 objects, we can substitute x = 12
⇒ t = (3/1000) (12)² + (1/1000) 12
⇒ t = (12/1000) (3 × 12 + 1)
⇒ t = (12×37/1000)
⇒ t = 444/1000
⇒ t = 0.444
⇒ t ≈ 0.40 seconds (2 dp)
The sum of two numbers is -34. The difference of the two numbers is 14. What are the two numbers?
Answer:
the no. are -10 and -24
when we add -10 with -24 we get -34
Determine m
117 degrees; supplementary
27 degrees; supplementary
27 degrees; complementary
None of these
117 degrees; complementary
Answer:
27 degress; complementary
Step-by-step explanation:
complementary is when is adds up to 90 and you need 27 more degrees to make it 90
Answer:27 degrees
Step-by-step explanation:
just need points
I have a question about this please see attachment below.
Answer:
Step-by-step explanation:
Find the sum of the series:
It diverges
Step-by-step explanation:
it is an alternating sequence hence it will diverge
Write an equation of the line that passes through the point (6,-9) with the given slope m= 3
Answer:
[tex]y = 3x - 27[/tex]
Step-by-step explanation:
[tex]y - y0 = m(x - x0) \\ y - ( - 9) = 3(x - 6) \\ y + 9 = 3x - 18 \\ y = 3x - 27[/tex]
x+5= 3(x-4) + 5
What is the answer
Step-by-step explanation:
x + 5 = 3x -12 + 5
x + 5 = 3x - 7
Subtract 5 from both sides....
x + 5-5 = 3x -7 - 5
x = 3x - 12
Change the sign ...
12 = 3x - x
12 = 2x
12/2 = x
x = 6
hence 6 is the answer.......
[tex]\large\textsf{\textbf{Answer\::}}[/tex]
x=6
[tex]\large\textsf{\textbf{Calculations\::}}[/tex]
First , use the Distributive Property :
x+5=3(x-4)+5
x+5=3x-12+5
x+5=3x-7
subtract 3x on both sides :
x-3x+5=-7
-2x+5=-7
Subtract 5 on both sides :
-2x=-7-5
-2x=-12
divide by -2 on both sides :
x=6
We've found the value of x : x = 6 .
[tex]\footnotesize\text{hope\:helpful~}[/tex]
There are 30 days in November.
It’s rains on 3/5 of them
Work out the number of days when it does not rain.
(3/5) × 30 = 3 × 6 = 18 days it won't rain
30 - 18 = 12 days it will rain
hope it helps...!!!
help help help help help help
Answer:
The scale factor is 5 because the increase in each side of the shape is *5
Will give 100 points if you answer im so tired please answer fast
Show that the equation x^3 + x - 3 = 0 has a solution between 1 and 2
When x = 1:
1³ + 1 - 3 = -1
When x = 2:
2³ + 2 - 3 = 7
Since f(x) = x³ + x - 3 is continuous, it follows from the intermediate value theorem that for some c in the interval (1, 2), we have f(c) = 0, since f(1) < 0 < f(2).
find the equaton of the line passing through the points (2,11) and (-8, -19) y= ?x ?
Find the slope:
(-19 - 11) / (-8 - 2) = (-30/-10) = 3
Find the y intercept:
y = mx + b
11 = 3(2) + b
b= 5
So equation is:
y = 3x + 5
8 - 3(2-(3 + 1)2 = 8.2)
If log(16)=s, what is the value of 2/3 log(6400) - 1/3 log(1600) in terms of s?
The value of [tex]\dfrac{ 2}{3} log(6400) - \dfrac{1}{3} log(1600)[/tex] in terms of s will be
[tex]\dfrac{2}{3}(400s)-\dfrac{1}{3}(1000s)[/tex]
What is Logrithm?A quantity representing the power to which a fixed number (the base) must be raised to produce a given number.
Here we have the expression:-
[tex]\dfrac{ 2}{3} log(6400) - \dfrac{1}{3} log(1600)[/tex]
So in terms of s the expression will become:-
[tex]\dfrac{2}{3}(400s)-\dfrac{1}{3}(1000s)[/tex]
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can you guys help me please :(
Ok then im doing the 3rd one:
Area of a parallelogram =b.h
[tex]11 \frac{3}{4} \times 8 \frac{1}{3} \\ = 11.75 \times 8.33 \\ = 97.8775 \\ = \boxed {97.9}[/tex]
Describe the net for a square pyramid with a base with edges of 6 inches and slant height of 4 inches. Calculate the surface area of the square pyramid. Enter your answer and explanation.
The square pyramid with a base with edges of 6 inches and slant height of 4 inches have a surface area of 84 in².
The net of the square pyramid have a base of 6 inches and the height of each triangle is 4 inches.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The square pyramid with a base with edges of 6 inches and slant height of 4 inches. Hence:
Surface area = (6 * 6) + 2(6 * 4) = 84 in²
The net of the square pyramid have a base of 6 inches and the height of each triangle is 4 inches.
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