Find the Lateral AND Total Surface Area of a pyramid with slant height 6.8mi whose triangular base measures 11mi on each side. Each altitude of the base measures 9.5mi.
Answers
Answer:
Step-by-step explanation:
The given pyramid is a square based pyramid. The formula for determining the lateral surface area of a square base pyramid is expressed as
Lateral surface area = 1/2 × perimeter × slant height
From the information given,
Length of each side = 11 miles
Perimeter of base = 4 × 11 = 44 miles
Slant height = 6.8 miles
Lateral surface area = 1/2 × 44 × 6.8 = 149.6 miles²
The formula for determining the total surface area of a square base pyramid is expressed as
Total surface area = base area + (1/2 × perimeter × slant height)
Base area = 11² = 121
Total surface area = 121 + (1/2 × 44 × 6.8) = 270.6 miles²
Related Questions
Hailey just received a 6% raise in salary, or $3120 per year. How much was she earning before the raise? Please show work
Answers
106% divided by $3120 = $2943.40 (to 2 d.p)
a committee consisting of 4 faculty members and 5 students is to be formed. every committee position has the same duties and voting rights. there are 7 faculty members and 13 students eligible to serve on the committee. in how many ways can the committee be formed?
Answers
and
C(13, 5) = 13! / (5!(13-5)!) = (13 * 12 * 11 * 10 * 9) / (5 * 4 * 3 * 2 * 1) = 1287
Multiply these two combinations since the faculty members and students are selected independently:
Total number of ways to form the committee = C(7, 4) * C(13, 5) = 35 * 1287 = 45,045
Therefore, there are 45,045 ways to form the committee consisting of 4 faculty members and 5 students.
For faculty members:
There are 7 eligible faculty members, and we need to select 4 of them for the committee. This can be done using the combination formula:
C(7, 4) = 7! / (4!(7 - 4)!) = 35.
So, there are 35 ways to select 4 faculty members from the 7 eligible ones.
For students:
There are 13 eligible students, and we need to select 5 of them for the committee. Using the combination formula again:
C(13, 5) = 13! / (5!(13 - 5)!) = 1287.
Therefore, there are 1287 ways to select 5 students from the 13 eligible ones.
To form the committee, we multiply the number of ways to select faculty members by the number of ways to select students:
35 * 1287 = 44,895.
Hence, there are 44,895 ways to form the committee consisting of 4 faculty members and 5 students from the eligible candidates.
Help please. don't guess :>
Answers
Answer:
the answer is 24
Step-by-step explanation:
Find the principal of interest!! random answers will be reported
1. Interest: $640
Rate: 4%
Time: 1 year
2. Interest: $2,016
Rate: 12%
Time: 3 years
Answers
Just multiply all numbers from each question together. Then divide by 2 if it's even, 3 if odd <3<3<3
Hope this helps
Answer:
sdsff 333
Step-by-step explanation:333
6) Find the measure of ∠G.
Answers
Answer:
m<G = 71
Step-by-step explanation:
Find x first
7x + 1 + 6x - 6 + 55 = 180
Combine like terms:
13x + 50 = 180
- 50 - 50
13x = 130
/13 /13
x = 10
Then apply to problem
7 (10) + 1
70 + 1
= 71
It is d I think I'm pretty sure
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
Answers
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation:
I need help with this, I am kinda confused..
Answers
Answer:
1: 1/3
2: 1/12
3: 3/4
4: 5/6
5: 1/2
6: 5/12
7: 11/12
8: 0
9: 1
10: 2/3
Step-by-step explanation:
i dunno why they put 'p' in front of the answers, probably to indicate probability, though.
Answer:
1: 1/4
2: 1/12
3: 3/4
4: 5/6
5: 1/2
6: 1/3
7: 11/12
8: 0
9: 1
10: 2/3
Step-by-step explanation:
all you do is count how many tiles fit so it becomes __/12 then you simplify
Help plssssssss
Answers:
9/6 = 11.25/LM
9/6 = LM/7.5
6/9 = LM/4.5
6/9 = 4.5/LM
(It's also multichoice so choose 2 answers.)
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Explenation: you need the number to know what to multiply 4.5 by
ASAP PLEASE!!!!!!!!!!!!!!!!!!!!1
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Answer:
141 in²
Obviously don't write 141 in² because they've already wrote the in² part for you
Pls help me in math, I need this tomorrow, thx :)
Answers
Answer: Range and mean = 8 of both
variance of Set X= 4.7
variance of Set Y= 4.6
Step-by-step explanation:
Two sets of data, set X and set Y are given
a.) Range is the difference of the highest value and the lowest value,
Therefore, Range of set X = 12-4=8
Range of set Y = 12-4=8
Now, Mean of a given data set is the average of all the terms present in the given data set
Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8
Mean of set Y= (4+5+7+32+20+12)/10= 8
Therefore, both the data sets has same range and mean.
b.) Standard deviation tells about the variability of the date and is given by,
S.D= σ = √∑ ( X − μ )^2/n
S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7
S.D of set Y= √(16+9+1+0+4+16)/10= √4.6
Variance is the square of S.D, that is, σ^2
Therefore, variance of set X=4.6
variance of set Y= 4.7
c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.
To learn more about S.D and variance,
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Answer: Range and mean = 8 of both
variance of Set X= 4.7
variance of Set Y= 4.6
Step-by-step explanation:
We know
a.) Range is the difference of the highest value and the lowest value,
Therefore, Range of set X = 12-4=8
Range of set Y = 12-4=8
Now, Mean of a given data set is the average of all the terms present in the given data set
Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8
Mean of set Y= (4+5+7+32+20+12)/10= 8
also
b.) Standard deviation tells about the variability of the date and is given by,
S.D= σ = √∑ ( X − μ )^2/n
S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7
S.D of set Y= √(16+9+1+0+4+16)/10= √4.6
Variance is the square of S.D, that is, σ^2
Therefore, variance of set X=4.6
variance of set Y= 4.7
c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.
PLS HELP QUESTION ON PIC PLSSSSSSSSSSSSSS
Answers
Answer:
Step-by-step explanation:
$3.50
50*.07=3.5
Answer:
3.5
Change 7% as a fraction
7%=7/100
Multiply 7/100*50
350/1003.5
Step-by-step explanation: Hope thish helps . Mark me brainliest!
The coordinates of the points A and Bare (2,5) and (-1,5) respectively. Find
the equation of the line AB
Answers
Answer:
slope:
5 - 5 / 2 - (-1) = 0
Thus, the equation of the line is y = 5
The area of a square garden is 144 ft^2. This equation shows the area of the garden, where s represents the side length.
s^2 = 144
What is the length of one side of the garden?
1) 148 Feet
2) 72 feet
3) 36 feet
4) 12 feet
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Can you guys help me i'll give brainliest if you answer all of them
(please don't just answer for points!)
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Help pls. Also wdym this is to short yk why so long >:/
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Answer:
Y= mx + b
so Y = 1/3x + 2
just substitute
Now, we shall use points (3,2) as the substitutes for the solution for b, which 3 would be the input and 2 would be y.
Therefore, 2 = 1/3(3) + b
2 = 1 + b, therefore, one would be subtracted from 2 which would give us the answer of b equaling to one. Thus, y = 1/3x + 1
the ratio of the number of oranges to apples to bananas is 8:5:2. if there are 120 fruits in total, how many bananas are there
Answers
Answer:
Step-by-step explanation:
To find the number of bananas, we need to determine the proportion of bananas in the total number of fruits based on the given ratio.
Let's assume that the ratio of oranges, apples, and bananas can be represented by 8x, 5x, and 2x, respectively, where x is a common multiplier.
The sum of the parts in the ratio is 8x + 5x + 2x = 15x.
We know that the total number of fruits is 120. Therefore, we can set up the following equation:
15x = 120
To solve for x, we divide both sides of the equation by 15:
x = 120 / 15
x = 8
Now that we know the value of x, we can find the number of bananas by multiplying it by the corresponding part of the ratio:
Number of bananas = 2x = 2 * 8 = 16
So, there are 16 bananas in total.
We can add all the parts to the ratio and get 15. Out of 15 parts, 2 are bananas. Now we can calculate how many fruits are in one part. One fifteenth of 120 is 8, so there are 8 fruits in one part. 2 parts are bananas, so multiplying 8 with 2 gives us our answer, 16.
HELP ASAP! math assigment
Answers
Help me please! Bookwork code:k90
Answers
Answer:
Step-by-step explanation:
Let’s mark the Triangle Points as Point A, Point B, Point C.
Point A = 1x°
Point B = 2x°
Point C = 3x°
We know that the Angle Sum of a Triangle is equal to 180°.
So, Point A + Point B +Point C = 180°
= 1x° + 2x° + 3x° = 180°
= (1 + 2 + 3)x° = 180°
= 6x° = 180°
= x° = (180/6)°
= x° = 30°
| — — |
| Point A = 1 * 30° = 30° | ⇒
| Point B = 2 * 30° = 60° | ⇒ Only Extra Information
| Point C = 3 * 30° = 90° | ⇒
| — — |
Learn more about Finding Angles here
Visit —
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Hope my answer helps you ✌️
Mark BRAINLIEST
Point A- 1x
Point B- 2x
Point C- 3x
We know that Angle sum property of a triangle states that the sum of angles of a triangle is 180•
So 1x+ 2x+ 3x = 180
Take X out as common
(1+2+3)x = 180
6x= 180
x=180/6
x= 30•
Which is your answer
Pls mark as brainliest
HELP ASAP PLEASE
Given the inequality 5(n − 4) < 4(n + 15), determine which integer makes the inequality false.
S:{80}
S:{15}
S:{5}
S:{−9}
Answers
Answer:
-9
Step-by-step explanation:
5(-9-4)
5(-13)
-65
4(-9+15)
4(6)
24
-65<24 so -9 is false because -65 is not smaller than 24
The solution is Option A.
The value of n which makes the inequality 5 ( n − 4 ) < 4 ( n + 15 ) false is when n = 80
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is given by
5 ( n − 4 ) < 4 ( n + 15 )
Now , on substituting the value of n as 80 in the inequality equation , we get
5 ( n − 4 ) < 4 ( n + 15 )
when n = 80
5 ( 80 - 4 ) < 4 ( 80 + 15 )
5 ( 76 ) < 4 ( 95 )
380 = 380
So , the inequality will become false as the two sides of the equation will result in value 380 when n = 80
Hence ,
The value of n = 80 in the inequality equation 5 ( n − 4 ) < 4 ( n + 15 ) will make it false
To learn more about inequality equation click :
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Hall swam 34 laps in 1 2/3 hours. Find his swimming rate in laps per hour
Answers
5/3 ÷ 5/3 = 1
34 ÷ 5/3 = 34 x 3/5
102/5 = 20.4
20.4 laps per hour
1 2/3 =1.66
They swam 34 laps so take 34 and divide it by 1.66
34/1.66= 20.48
So his swimming rate is 20.48 laps per hour
Valentina and her parents are on a long drive to Monterey Bay to go kayaking. She passes the time by counting how many different colors of cars she sees. The table below shows the results.
Color of car Number of cars
black 4
red 7
silver 12
white 14
brown 5
blue 3
Based on the data, what is the probability that the next car seen is brown?
Write your answer as a fraction or whole number.
Answers
Based on the data provided, Valentina saw a total of 4 + 7 + 12 + 14 + 5 + 3 = 45 cars. Out of these cars, 5 were brown. Therefore, the probability that the next car seen is brown is 5/45 which can be simplified to 1/9.
Answer:
Based on the data provided, Valentina saw a total of 4 + 7 + 12 + 14 + 5 + 3 = 45 cars. Out of these cars, 5 were brown. Therefore, the probability that the next car seen is brown is 5/45 which can be simplified to 1/9.
Step-by-step explanation:
All of the following statements describe the relation shown except _____.
The inputs are {-1, 0, 3, 4}.
The diagram represents a function.
This relation could also be represented as {(-1, 1), (0, -2), (3, 1), (4, -1)}.
The outputs are {-2, -1, 1}.
Answers
Answer:
the answer is The imputs are {-1,0, 3,4}
Answer:
-1,0, 3,4
Step-by-step explanation:
For an upcoming school dance, Mr. Abbot bought 24 bags of pretzels and 18 bags of chips.
Create a ratio of bags of chips to bags of pretzels.
PLZ DON'T ANSWER IF YOU WONT ANSWER THE QUESTION I WILL REPORT IF SO.
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Answer:
24:18 im think. does it say you have to simplify it?
Simplify this answer please
Answers
9 . 13 = 117
x^12 . x^2 = x^14 (add the powers)
y^3 . y^2 = y^5 (add the powers)
Answer: 117 x^14 y^5
Directions: Write a summary of the following statements.
1) What are natural numbers?
2) What is the meaning of zero?
3) What are integers?
4) What is absolute value?
5) Explain why an equation with the same numbers but in a different order may not equal the same answer?
PLEASE HELPPPPP
Answers
You start a dog walking business. You earn $8 for each dog you walk. Write the inequality and then solve it to show all the possible values of d, the amount of dogs you walk, to earn more than $32.
Answers
Answer:
you walked dog is 4 dog
Step-by-step explanation:
Please answer the question! (´・ω・`)
Answers
supplementary angles are when two angles sum up to 180 degrees.
∠x and ∠y are supplementary angles
===============
∠x + ∠y = 180°∠x + 116° = 180°∠x = 180° - 116°∠x = 64°Answer:
64°
Step-by-step explanation:
Supplementary angles are two angles that add up to 180°.
∠x + ∠y = 180° <== substitute 116° for ∠y
∠x + 116° = 180° <== subtract 116 from both sides
- 116 - 116
∠x = 64° <== measure of ∠x
Therefore, the measure of ∠x is 64°
Hope this helps!
This year, Brad is a photographer for his school newspaper. He takes 5 color photos for every 2 black-and-white photos.
Complete the table.
Color photos 5 15
30
Black-and-white photos 2
8
Answers
Color 5 - 2 Black-and-White
Color 10 - 4 Black-and-White
Color 15 - 6 Black-and-White
Color 20 - 8 Black-and-White
Color 25 - 10 Black-and-White
Color 30 - 12 Black-and-White
Answer:
Colored photo I Black photo
5 2
10 4
15 6
20 8
25 10
30 12
35 14
40 16
45 18
50 20
Help me please il give 20 points!
Answers
Answer: 1. a. 15 b. 11 c. 2 d. 7 e. 5.5
2. Stem: Leaf:
1 9
2 5, 9
3 3, 3, 8
4 0, 7, 9
5 4, 5
6 1, 5
7 2, 7
8 1
3. a. 13 inches b. I'm pretty sure that it is the second quarter because there is more snow. c. The first quarter because it's section is more spread out among the numbers.
Step-by-step explanation:
2. Stem:
Leaf:
9
2
5, 9
3
3, 3, 8
4
0, 7, 9
5
4, 5
6
1,5
7
2, 7
8
1
3. a. 13 inches
b. I'm pretty sure that it is
the second quarter because there is more show.
c. The first quarter because it's
section is more spread out among the numbers.
Step-by-step explanation:
need some hel QUICK!!!
Answers
Hopes this helps :)