Answers
Answer:
28 cm²
Step-by-step explanation:
We are asked to find the surface area of the given square pyramid. To do this we can find the sum of the areas of each of the faces of the square pyramid, including the base.
Since this is a square pyramid, we know that each of the triangle faces of the pyramid have the same area, being the congruent triangles, and that there are 4 triangle faces.
Since this is a square pyramid, we know that the base of the pyramid is a square.
So to find the surface area we can multiply the area of one of the triangle faces by 4 and add it to the area of the square base. In other words:
(4 × area of triangle face) + area of square base = surface area
Lets start with finding the area of the square base. we are given that the side length of the base is 2 cm. Remember, the area of a square is:
s × s
or
s²
where s is the side length of the square.
Lets plug in 2 for s:
2 × 2 = 4
or
2² = 4
So the area of the square base is 4 cm².
Now lets find the area of the triangle side.
Remember, the area of a triangle is:
[tex]\frac{1}{2}(b*h)[/tex]
where b is the length of the base (not to be confused with the base of the pyramid) and h is the height.
We are given that the height of the pyramid is 6 cm and the base is 2 cm. Lets plug in 6 for h and 2 for b:
[tex]\frac{1}{2}(6*2)=\frac{1}{2}*12=6[/tex]
So the area of a triangle side of the pyramid is 6 cm².
Now lets find the surface area. To do this we can multiply the area of a triangle side of the pyramid by 4 and add the area of the square base. Remember, the area of the square base was 4 cm² and the area of the triangle side was 6 cm².
(4 × 6) + 4 = 24 + 4 = 28
So the surface area would be 28 cm²
I hope this helps. Let me know if you have any questions. Happy studying.
Related Questions
12,18,27,...
What is the 7th term in the sequence?
Answers
Q4. Three students A, B and C had 3 soil samples. Each student poured 180 mL of water
into the soil samples they had. Time taken for the percolation of water through the three
soil samples was 25 min, 10 min and 40 min respectively. Which student had the soil with
the highest percolation rate?
Answers
Answer:
Student B
Step-by-step explanation:
Soil percolation is the porosity of soil to the downward flow of water through it. A soil with high percolation allows water to drain through it downwards in a less period of time.
From the given experiment by students, it takes 25 min for water to percolate through the soil sample of student A, 10 min for the soil sample of student B and 40 min for the soil sample of student C. Thus, the student that had the soil sample with highest percolation rate is B.
someone help me ASAP
Answers
Answer:
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Step-by-step explanation:
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hi! I hope you are okay, what do you need help with????? Pls mark brainliest to make me happy!!!!
Write the decimal in simplest fractional form: 3.05
Answers
Answer:
The simplest form, as a fraction is:
[tex]\frac{61}{20}[/tex]
Step-by-step explanation:
Though being quite a large amount, this is actually its number, here is why:
3.05 turned into a fraction would look like a mixed fraction:
[tex]3\frac{5}{100}[/tex]
It is [tex]\frac{5}{100}[/tex] because 0.05 is also 5 hundredths.
And 3 is 3.00 because it is a whole number.
Now, you need to reduce or simplify the [tex]\frac{5}{100}[/tex] into:
[tex]\frac{5}{100}[/tex] = [tex]\frac{1}{20}[/tex]
The reason it is [tex]\frac{1}{20}[/tex] is because:
[tex]\frac{5}{100}[/tex]
Both the numerator (top of fraction) and denominator (bottom of fraction) can both be divided by 5, which gives you your total of:
[tex]\frac{1}{20}[/tex]
Now, you are left with:
[tex]3\frac{1}{20}[/tex]
But since we are looking for the most simplest fractional form, and not the mixed form, we will need to turn this into a improper fraction.
Which will look like:
[tex]\frac{61}{20}[/tex]
This is how I turned it from a mixed fraction into a improper fraction:
[tex]3\frac{1}{20}[/tex]
(First, multiply 3 by the denominator, which is 20)
3 · 20
= 60
You will now add 1 to 60 and get a sum of:
60 + 1
= 61
(The reason you want to multiply 20 and 3, is because if you have the whole of a denominator, for example:
[tex]\frac{20}{20}[/tex]
it will equal 1, in this case:
if we have 3:
[tex]\frac{20}{20}[/tex] [tex]\frac{20}{20}[/tex] [tex]\frac{20}{20}[/tex]
Then our whole number will be 60 for our numerator and it will look like:
[tex]\frac{60}{20}[/tex] = 3
[tex]3\frac{1}{20} = \frac{61}{20}[/tex]
These are actually the same, just in different fractional forms.
From here we will check if we can make
[tex]\frac{61}{20}[/tex] and more simplified...
I have checked that this is most simplest form, so your answer is:
[tex]\frac{61}{20}[/tex]
Hope that helps!
Previously, an organization reported that teenagers spent of 4.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0.
Required:
Conduct a hypothesis test.
Answers
Answer:
There is no significant evidence to conclude that the mean hours spent per week by teenagers is greater than 4.5
Step-by-step explanation:
H0 : μ = 4.5
H1 : μ > 4.5
Sample size, n = 15 ; sample, mean, xbar = 4.75 ; sample Standard deviation, s = 2.0
Test statistic : (xbar - μ) ÷ s/sqrt(n)
Test statistic : (4.75 - 4.5) ÷ 2/sqrt(15)
Test statistic : 0.25 / 0.5163977
Test statistic = 0.484
Using the test statistic to obtain the Pvalue :
Using α = 0.05, df = 15 - 1 = 14
Pvalue = 0.3179
Since, Pvalue > α ; we fail to reject the Null.
We conclude that ;
There is no significant evidence to conclude that the mean hours spent per week by teenagers is greater than 4.5
Please help me Please help me Please help me Please help me Please help me Please help me Please help me Please help me
Answers
Answer:
D
Step-by-step explanation:
Hi,
Since you're not multiplying or diving by a negative, the inequality sign shouldn't flip. It flipped and that was incorrect.
Hope this helps :)
Compare the number of black stars to the number of white
stars.
Black Stars
3
12
18
24
White Stars
2
8
12
?
If the ratio remains the same, how many white stars will
there be if there are 24 black stars?
OA) 16
OB) 18
OC) 20
OD) 27
Answers
Answer:
OA) 16Step-by-step explanation:
? = 16
Since the number of White stars is 2/3 of the number of Black Stars, you would do 24 x 2/3 = 48/3 = 16
OR
24 x 2/3 = 8 x 2 = 16
Hope that helps!
Answer:
16 white stars
Step-by-step explanation:
3x8=24
2x8=16
HURRY PLEASE! I WILL GIVE BRAINIEST
Answers
Answer:
44
Step-by-step explanation:
A facilities manager at a university reads in a research report that the mean amount of time spent in the shower by an adult is 5 minutes. He decides to collect data to see if the mean amount of time that college students spend in the shower is significantly different from 5 minutes. In a sample of 8 students, he found the average time was 5.55 minutes and the standard deviation was 0.75 minutes. Using this sample information, conduct the appropriate hypothesis test at the 0.05 level of significance. Assume normality.
Answers
Answer:
0.0384 < 0.05, which means that we can conclude that the mean amount of time that college students spend in the shower is significantly different from 5 minutes.
Step-by-step explanation:
A facilities manager at a university reads in a research report that the mean amount of time spent in the shower by an adult is 5 minutes.
This means that the null hypothesis is [tex]H_{0} = 5[/tex]
He decides to collect data to see if the mean amount of time that college students spend in the shower is significantly different from 5 minutes.
This means that the alternate hypothesis is [tex]H_{a} \neq 5[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
Null hypothesis:
Tests [tex]H_{0} = 5[/tex], which means that [tex]\mu = 5[/tex]
In a sample of 8 students, he found the average time was 5.55 minutes and the standard deviation was 0.75 minutes.
This means, respectively, that [tex]n = 8, \mu = 5.55, \sigma = 0.75[/tex]
Test statistic:
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{5.55 - 5}{\frac{0.75}{\sqrt{8}}}[/tex]
[tex]z = 2.07[/tex]
Pvalue:
Since we are testing if the mean is different from a value, and z is positive. The pvalue is two multiplied by 1 subtracted by the pvalue of z = 2.07.
z = 2.07 has a pvalue of 0.9808
2*(1 - 0.9808) = 2*(0.0192) = 0.0384
Decision:
0.0384 < 0.05, which means that we can conclude that the mean amount of time that college students spend in the shower is significantly different from 5 minutes.
fran and 8 friends must share 3 liter of water. how get?
Answers
Please answer!! Name this angle
Answers
Answer:
right and complementary its not Acute
Step-by-step explanation:
Manny buys 16 apples at the market and 8 oranges. what are the ratios of apples to oranges ?
Answers
Answer:
2:1 or 16:8
Step-by-step explanation:
Answer:
2:1
Apple: orange
Step-by-step explanation:
Divide the number of apples by the number of oranges
charlie uses the expression 2x + 2x to represent the perimeter of a square. What does the variable x represent in this expression?
The area
The perimeter
The side lengths
The sum of 2 side lengths
Answers
Answer:
D The Sum of 2 Numbers
Step-by-step explanation:
2+2=4 > 24 > 24 + 24
Answer:
The side length
Step-by-step explanation:
Harley read 5 books in january, 8 books in february, 4 books in march and 7 books in april. what is the average number of books harley reads per month
A: 7
B: 6
C: 6.5
D: 3
Answers
Answer:
B: 6
Step-by-step explanation:
Find the mean:
5+8+4+7= 24
24/4=6
Hence, determine the connection between the discriminant and the nature of the
roots of each equation in the table below:
Answers
WILL MAKE BRAINLIEST
ONLY DO 7 AND 8
find the slope of the line through each pair of points.
Answers
Answer:
D, A
Step-by-step explanation:
7 is -11/20
8 is 13/18
A scale model of a buliding is 18 inches tall. The actual building is 240 feet tall. What is the scale factor of the model? Write your answer as a fraction in simplest form.
Answers
Answer:
The scale factor of the model is 160.
Step-by-step explanation:
18 inches : 240 feet tall is also equal to
18 inches : 2880 inches
2880/18 = 160
Use the pic for more info will mark brainlest
Answers
Answe7.5 i think
Step-by-step explanation:
5 friends each ate 1 slice of pizza. There were 8 slices in the whole pizza. What fraction of the pizza was left over?
Answers
Answer:
3/8 because they ate 5 and there were 8
if the area of the field is 16b^2+60b-100 and one dimension is b+5, what would be the other dimension?
Answers
Answer:
[tex]l=16(b-1.25)[/tex]
Step-by-step explanation:
Given that,
The area of the field is [tex]16b^2+60b-100[/tex]
One dimensions = (b+5)
The field is in the shape of a rectangle whose are is given by :
A = lb
Wher
l is the length or the other dimension
[tex]l=\dfrac{A}{b}\\\\l=\dfrac{16b^2+60b-100}{b+5}\\\\l=\dfrac{(16(b+5)(b-1.25)}{b+5}\\\\l=16(b-1.25)[/tex]
So, the other dimension be [tex]16(b-1.25)[/tex].
Question 14 of 17
Pls help I’m failing
The following figures show the first two steps of a proof of the Pythagorean
theorem. Which of the following statements about this proof is false?
Answers
Answer:d
Step-by-step explanation:
I’m smart trust me
7. One half of a cantaloupe was shared
equally among 3 people. What fraction
of the whole cantaloupe did each
person get? Explain how you found
your answer.
Answers
Answer:
It would be 1/8
Step-by-step explanation:
Because you take a half and a half and divide by three and you roughly get 1/8. Hope this helped! Give me Brainlest if its the best answer!!
(75 hundredths) + (4 x 100) + (67 ones) + (5 tens) 2. Rocky's rug is in the shape of a rectangle. The width of the rug is 2 feet. The length of the rug is 4 feet. Enter the area, in square feet, of Rocky's rug.
Answers
Answer:
[tex]A=8\ feet^2[/tex]
Step-by-step explanation:
Given that,
The width of the rug is 2 feet.
The length of the rug is 4 feet.
We need to find the area of the rug. Fo a rectangle shape, the area of the rectangle is given by :
A = lb
So,
[tex]A=2\times 4\\\\A=8\ feet^2[/tex]
So, the area of the rug is [tex]8\ feet^2[/tex].
q is euidistant fromt he of tsr. find the value of x. the diagram is not to scale. 3x+18=24
Answers
x=2
hope this helped
Which statements are true about the figure? Check all that apply,
The figure is a triangular prism,
The figure is a rectangular pyramid,
The figure has 6 vertices,
The figure has 6 faces,
The figure has 9 edges,
WILL MARK 5 STARS PLEASE SOS
Answers
has 6 vertices
please help me :)))))))))
Answers
Answer:
.001
Step-by-step explanation:
1 / 1000, so you move the decimal point over three places.
Answer:
The answer is A. 0.001
Step-by-step explanation:
1. Figure out what 10^3 is. It is 10 × 10 × 10, or just ten with three zeros. That's 1000.
2. Since it is 1/1000, it is the same thing as 1 ÷ 1000 which is 0.001. This is easy to figure out, since it is just 1 in the thousandths place or one with three zeros in front.
#2 What is 18.082 rounded to the nearest whole number?
Answers
Answer:
18
Step-by-step explanation:
5-(x-3)+4x simplify equation
Answers
Answer: 3x+8
Step-by-step explanation:
Answer:
3x+8
Step-by-step explanation:
5-(x-3)=4x
5-x+3+4x
3x+8
1. The pollution level in the center of a city at 6 am is 30 parts per million and it
grows in linear fashion by 25 parts per million every hour. If y is pollution
and t is time elapsed after 6 am, determine:
a. The equation that relates y with t.
b. The pollution level at 4 o'clock in the afternoon
Answers
Answer:
a) [tex]y(t) = 30 + 25t[/tex]
b) The pollution level at 4 o'clock in the afternoon is of 280 parts per million.
Step-by-step explanation:
The pollution level in the center of a city at 6 am is 30 parts per million and it grows in linear fashion by 25 parts per million every hour.
This means that the pollution in t hours after 6 am is given by:
[tex]y(t) = 30 + 25t[/tex], which is the answer to question a.
b. The pollution level at 4 o'clock in the afternoon
4 in the afternoon is 10 hours after 6 am, so this is y(10).
[tex]y(10) = 30 + 25*10 = 30 + 250 = 280[/tex]
The pollution level at 4 o'clock in the afternoon is of 280 parts per million.
The figure above shows a square inscribed in a rectangle.
What is the area of the orange colored part of the figure? (Include only numbers, not words or labels, in your answer.)
Answers
Step-by-step explanation:
first u must find the area of the rectangle.after that,find the area of the square.then you have tu subtract it so that u can get the orange area.