Answers
Let’s breakdown this question:
They are asking to find the surface area of this square pyramid. The surface area is the total area of all the faces in the square pyramid. The faces are the base (which is a square) and the four triangles surrounding it.
Let’s look at the areas of all the faces.
Area of the square:
Side x Side
3 x 3
= 9
Area of one triangle:
1/2 x Base x Height
1/2 x 3 x 4
= 1/2 x 12
= 6
There are four triangular faces that make up this square pyramid.
So, area of four triangles
= 4 x (Area of one triangle)
= 4 x (6)
= 24
The total surface area of this triangular pyramid
= (Area of square) + (Area of four triangles)
= (9) + (24)
= 33 ft.^2
Related Questions
THIS IS URGENT!
What is the solution to the system graphed below?
Answers
Answer: (-4, -1)
Step-by-step explanation: Since these lines are already graphed, we are looking for their point of intersection. This point where the two lines intersect will represent the x and y that is the solution to this system of equations.
The two lines intersect in quadrant III
where x and y are both negative.
When finding the coordinates of a given point,
be very careful with your signs.
Let's just do a quick review on the coordinate system. On the x-axis, left means negative and right means positive and on the y-axis, down means negative and up means positive.
So to find the coordinates for this point, we start at the origin.
Then we move to the left 4 and down 1 so that's (-4, -1).
So the solution to this system is (-4, -1).
1) write down a different ratio equivalent to 12 : 3
2) write down a different ratio equivalent to 30 : 24
Answers
2) 60:48
I just multiplied by 2
Answer: 1) 4:1 2) 60/48
Step-by-step explanation:
1. 12: 3 is the same as 12/3 so you can diving both side by 3.
12:3 ÷ 3/3=4/1
2. 30:24 is the same as 30/24 so you can divide both sides by 6 or multiply both sides by 2.
30/24 * 2/2= 60/48
A 20% acid solution is mixed with 20 liters of a 45% acid solution. How much of a 30% acid solution will result?
Answers
Answer:
50 liters
Step-by-step explanation:
If x is the volume of 20% acid, then:
x (0.20) + 20 (0.45) = (x + 20) (0.30)
0.2x + 9 = 0.3x + 6
3 = 0.1x
x = 30
30 liters of 20% acid are needed, so there will be a total of 50 liters of 30% acid.
Which of the following formulas is used to calculate the probability of independent events A and B?
A. P(AUB) = P(A) + P(B)
B. P(AUB) = P(A) P(B)
C. P(A and B) = P(A) + P(B)
D. P(A and B) = P(A) P(B)
Answers
Wha do you call a pair of angles that add up to 180 degrees?
Please help.
Answers
Answer:
supplementary angles
Step-by-step explanation:
Supplementary angles add to 180
Complementary angles add to 90
Apollo does 240 push-ups in 5 minutes. How many push-ups can Apollo do in 1 minute
Answers
Answer:
48
Step-by-step explanation:
240/5 = 48
Answer:
48 push ups in 1 minute
Step-by-step explanation:
We can use a ratio to solve
240 pushups
-----------------------
5 minutes
Divide each by 5
48 pushups
--------------------
1 minutes
Find the area and the circumference of a circle with radius 7 ft.
Use the value 3.14 for a, and do not round your answers. Be sure to include the correct units in your answers.
Areal
Circumference:
Answers
Answer:
circumfrence : 43.96 area :153.94
Step-by-step explanation:
Identify the following data set: ....a manager of a movie theater was asking customers at the concession stand how they would rate the theater's staff.
Population
Sample
Answers
1. Sample
2. Population
3. Parameter
4. Statistic
3(1−2)<33
I will give brainliest!,
Pls if possible explaine to me how to do ittt
Answers
Answer:
I believe it is B. n<-5
Step-by-step explanation:
Answer:
n>-5
Step-by-step explanation:
Imagine the< is an equal sign Solve it as you would normally do
3(1-2n) < 33
3(1-2n) = 33
Then use the distributive property
3 - 6n = 33
-3. -3
-6n = 30
Inverse operations
-6n = 30
When you use inverse operations and you divide l
or múltiply by a negative number the signs change around < will change to >
-6n = 30
÷-6. ÷-6
n > -5
The angular velocity of a fan blade is 6.2 radians per second.
Approximately how many revolutions does the fan blade make in 1.6 minutes?
Enter your answer, rounded to the nearest tenth of a revolution
Answers
Answer:
94.7 revolutions
Step-by-step explanation:
In the question above, we are given the following values for the fan
Angular velocity = 6.2 radians per seconds
Time = 1.6 minutes.
Step 1
We would convert the time given to seconds
1 minute = 60 seconds
1.6 minutes = ?
We cross multiply
1.6 minutes × 60 seconds
= 96 seconds
Step 2
Number of revolutions made by the fan is calculated as :
Angular velocity(rad/s)
× time(seconds)
Number of revolutions = 6.2 radians per seconds × 96 seconds
=595.2 radians
Converting from radians to revolution
1 radian = 0.159155 revolutions
595.2 radians =
Cross multiply
= 595.2 radians × 0.159155 revolutions
= 94.729056 revolutions.
Approximately to the nearest tenth = 94.7 revolutions.
Therefore, the number of revolutions the fan blade makes in 1.6 minutes is 94.7 revolutions.
1.6 minutes is 1.6 x 60 = 96 seconds.
Its angular velocity is 6.2 radians per second: 6.2 radians/second x 96 seconds = 595.2 radians.
One revolution of the fan is one circumference of the fan, which is 2pi radians.
Dividing 595.2 radians by 2pi radians gives us an answer of 94.7 revolutions.
In a representative survey 9 out of 12 middle schoolers prefer
doughnuts to candy bars. How many doughnuts would you predict you
need for a group of 250 middle schoolers? How many candy bars?
Answers
Answer:
187.5 doughnuts (about 188)
62.5 candy bars (about 63)
Step-by-step explanation:
So the proportion of middle schoolers who prefer doughnuts is p = 9/12. That means the proportion of middle schoolers who prefer candy is 1 - 9/12 = 3/12.
The number of middle schoolers is n = 250.
Let X represent the number of doughnuts you need. The expected number is E(X) = np, so multiply them together:
E(X) = np
E(X) = 250 * 9/12 = 187.5 doughnuts
Let Y represent the number of candy bars you need. The expected number is E(Y) = np, so multiply them together:
E(Y) = np
E(Y) = 250 * 3/12 = 62.5 candy bars
Answer:
250/12=20.83
so there is about 21 times more people
20.8333 x 9 = 187.5
250-187.5=62.5
(I am going to put 62 so when you add up it will be 250 instead of 251)
about 188 people will have donuts and about 62 candy bars
Step-by-step explanation:
please help as soon as possible
Answers
Answer:
22
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
To find the mean you have to do the sum of all of the numbers divided by the number of days there are (in this case there are 5: Monday, Tuesday, Wednesday, Thursday, and Friday)
So,
23 + 18 + 24 + 15 + 25 = 105
Then,
105/5 = 21
If each quadrilateral below is a rectangle find the missing measure in #5
Answers
Answer:
What do you mean by #5?
Step-by-step explanation:
Determine the solution and the reasoning that justifies the solution to the systems of equations.
(0,8), because this point is true for both equations
(0,8), because the lines intersect the y-axis at these points
(-2, 4), because this point makes both equations incorrect
(-2,4), because it is the point of intersection of the two graphs
Answers
Answer: (-2,4), because it is the point of intersection of the two graphs
Step-by-step explanation:
i did it
The product of Jack's age and Florence's age is 266. Jack is 14 years
old. How old is Florence?
Answers
Answer:
19
Step-by-step explanation:
you divide 266 by 14
Answer:
19
Step-by-step explanation:
266 ÷ 14 = 19
Nyah receives a chain letter and has to copy the letter and send it to 4 of her friends,
have to copy the letter and send it to 4 other friends, and so on.
Finding the number of letters sent on the nth mailing is an example of
a geometric sequence
COMPLETE
If everyone who receives a letter participates, how many letters will be sent on the si
54 X = 4,096
COMPLETE
By the sixth mailing, how many people will have participated since the start?
DONE
I need the last part
Answers
Answer:
1. Geometric sequence
2. 4,096
3. 5,460
Step-by-step explanation:
Part 1
Since the number of letters sent is multiplied by 4 for any subsequent term, the sequence is an example of a geometric sequence as it grows exponentially.
Part 2
Given a geometric sequence, the nth term is determined using the formula:
[tex]T_n=ar^{n-1},$ where r=common ratio, a=first term, n=number of terms[/tex]
In this case,
a=1 (i.e. Nyah)
r=4
Since we want to determine how many letters will be sent on the sixth mailing(i.e after Nyah), n=7
Substituting
[tex]T_6=1*4^{7-1}\\=4^6\\=4096[/tex]
Part 3
To determine how many people would have participated by the sixth mailing, we are required to find the sum of the first seven terms of the geometric sequence.
We use the sum of a geometric sequence formula
[tex]S_n=\dfrac{a(r^n-1)}{r-1} \\S_7=\dfrac{1(4^7-1)}{4-1} \\=\dfrac{16383}{3}\\\\=5461[/tex]
Therefore, excluding Nyah, 5460 people would have participated by the sixth mailing.
Answer:
1. Geometric sequence
2. 4,096
3. 5,460
Step-by-step explanation:
Which ordered par Woud form a proportional relationship with the point graphed Below?
A (10,10)
B (25,35)
C (70,50)
D (90,60)
Answers
A clothing store donated a percent of every sale to hospitals. The total sales were $6,500 so the store
donated $260. What percent of $6,500 was donated to hospitals?
I’m literally confused
Answers
1) work out 1%
6500/100 = 65
2)work out how many times 65 goes into 260
260/65= 4
Solve the equation 7x+8y=3 for y.
Answers
Answer:
y=(-7x+3)/8
Step-by-step explanation:
8y=-7x+3
y=(-7x+3)/8
!! HELP ASAP!!
A stack of wood 4 feet wide, 8 feet long, and 4 feet high is equal to 1 cord of wood. How many cords would a pile 4 feet wide, 16 feet long, and 4 feet high contain?
Answers
Answer:
2 cords
Step-by-step explanation:
Answer:2 cords
Step-by-step explanation:
Pythagorean Theorem: Find the diagonal length of the soccer field.
Answers
Answer:
6600 yrds
Step-by-step explanation:
sorry if its wrong
A pool measuring 8 meters by 24 meters is surrounded by a path of uniform
width, as shown in the figure. If the area of the pool and the path combined is
960 square meters, what is the width of the path?
Answers
Answer:
8 meters
Step-by-step explanation:
8 × 24 = 192, 960 - 192 = 728.
The width of the path will be 8, and the length of the path will be 91, but since the question is just talking about the path's width, then the answer is 8 meters.
The data below show the numbers of hours Mrs. Diaz volunteered at the library each month
for eight months.
20, 12, 27, 23, 18, 20, 30, 26
The mean of the data set is 22 hours. What is the mean absolute deviation of the data?
4.5
2
4
2.2
Answers
Answer:
A. 4.5
Step-by-step explanation:
Given:
20, 12, 27, 23, 18, 20, 30, 26
Mean = 22
Required:
Calculate the Mean Absolute Deviation (M.A.D)
Since, we have the mean; we start calculating M.A.D by subtracting the mean from each data
20 - 22 = -2
12 - 22 = -10
27 - 22 = 5
23 - 22 = 1
18 - 22 = -4
20 -22 = -2
30 - 22 = 8
26 - 22 = 4
The we find absolute value of the result above
|-2| = 2
|-10| = 10
|5| = 5
|1| = 1
|-4| = 4
|-2| = 2
|8| = 8
|4| = 4
Lastly, we calculate the mean of the above to give M.A.D
[tex]M.A.D = \frac{2 + 10 + 5 + 1 + 4 + 2 + 8 + 4}{8}[/tex]
[tex]M.A.D = \frac{36}{8}[/tex]
[tex]M.A.D = 4.5[/tex]
Option A is correct.
The value of the mean absolute deviation is 4.5 hours if the mean of the data set is 22 hours, option first is correct.
What is the mean absolute deviation?It is defined as the measure to show the variation in data set in other words between the mean and every data value, the distance is known as the MAD.
We have data:
20, 12, 27, 23, 18, 20, 30, 26
Mean of the data X = 22 hours
∑(x - X) = 36
MAD = 36/8 = 4.5 hours
Thus, the value of the mean absolute deviation is 4.5 hours if the mean of the data set is 22 hours.
Learn more about the mean absolute deviation here:
brainly.com/question/10528201
#SPJ5
Find the growth rate (b) if the amount of growth is 11.8%
Answers
Answer:
B
Step-by-step explanation:
I think.
Find the reference angle of 14 pie over 11
Answers
Answer:
Step-by-step explanation:
reference angle=(14 π)/11-π=(14-11)π/11=3π/11
If 50% of an item is 22.00 what is the original price ?
Answers
Answer:
$44
Step-by-step explanation:
Answer:
44
Step-by-step explanation:
Surface area of a cylinder radius is 2 and height is 3
Answers
Answer:
62.83 cm squared
Step-by-step explanation:
A = 2πrh+2πr^2
A = 2π(2)(3)+2π(2)^2
A = 2π(6)+2π4
A = 12π+8π
A = 20π
A = 20(3.14)
A = 62.83 cm squared
what is the median of 40,33,37,54,41,34,27,39,35
Answers
Answer:
It's 37
Step-by-step explanation:
The given data set is ;
40,33,37,54,41,34,27,39,35
We arrange the data set in ascending order to obtain;
{27,33,34,35,37,39,40,41,54}
The median is the middle number {37}
3. A cone has a radius of 1.2 inches and a height of 2.9 inches. What is the volume, to the nearest tenth of a cubic inc D. 13.1 cubic inches.
h, of the cone?
A. 3.6 cubic inches.
B. 4.4 cubic inches.
C. 10.6 cubic inches.
Answers
Answer:
B
Step-by-step explanation:
The volume of the cone is defined as
Volume = pi * r^2 * (h/3)
Volume = pi * 1.2^2 * (2.9/3)
Volume = 4.37310 in^3
If the answer is rounded to the nearest tenth of a cubic inch,
then the final answer is letter (B) 4.4 in^3
Andrea opened a bank account for her daughter Hannah, with a deposit of $ 1,750 . The account will earn 2% simple interest annually. How many months will it take her to earn interest in the amount of $245 on her deposit?
Answers
Answer:
84 months
Step-by-step explanation:
I × 100 = P × R × T
I = interest = $245
P = principal = $1750
R = rate = 2%
T = time(in years) = ??
245 × 100 = 1750 × 2 × T
24500 = 3500T
24500/3500 = T
7 = T
To convert the time to month:
7 × 12 = 84 months
