What is the surface area of the square pyramid?
3,456 m²
9,984 m²
1,296 m²
2,160 m²
Answers
Answer:
3,456 m²
Step-by-step explanation:
i just took the test :)
The surface area of the given Square pyramid is 3456 square meters.
What is the Surface area?The area or region that an object’s surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including spheres, cubes, cuboids, cones, cylinders, etc. Each form has its own volume and surface area.
Given, a square pyramid with a base side of 36m and a slant height of 30m.
From the general formula of the surface area of the square pyramid,
Surface area = area of base + 4* area of triangle
Surface area = 36*36 + 4 * 1/2*36 * 30
Surface area = 3456 m²
therefore, the surface area of the given Square pyramid is 3456 square meters.
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Related Questions
Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below.
300 mm
200 mm
50 mm
Answers
Complete question :
Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below. Obtain the area of the front face of the model.
Answer:
12500 mm²
Step-by-step explanation:
The front face of the mode consista of both triangle and rectangle
Area of rectangle :
Height * Base
Height = 200 m ; Base = 50
Area = 200 m * 50 m = 10,000 mm²
Area of triangle :
1/2 * base * height
1/2 * 50 * (300 - 200)
1/2 * 50 * 100
= 2500 mm²
Area of front face = Area of rectangle + Area of triangle
Area of front face = (10,000 + 2500) m²
Area of front face = 12500 mm²
An engineer is planning a new water pipe installation. The circular pipe has a diameter of d=20\text{ cm}d=20 cmd, equals, 20, start text, space, c, m, end text. What is the area AAA of the circular cross section of this pipe?
Answers
Answer:
314.2 cm²
Step-by-step explanation:
The area of the circular cross section of the pipe is given by A = πd²/4 where d = diameter of pipe = 20 cm
So, A = πd²/4
substituting the value of d into the equation, we have
A = π(20 cm)²/4
A = π400 cm²/4
A = 100π cm²
A = 314.16 cm²
A ≅ 314.2 cm²
Answer:
100pi
Step-by-step explanation:
∆ XYZ ≅ ∆ MNL
Find XY
Answers
The length of XY is 8.
What are congruent triangles?When a triangle has precisely the same three sides and precisely the same three angles, it is said to be congruent.
Given that, the triangles ΔXYZ and ΔMNL are congruent.
Therefore, XY≅MN.
Since MN = 8, it follows XY =8.
Hence, the length of XY is 8.
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Aleksandra started studying how the number of branches on her tree grows over time. Every 1.51.51, point, 5 years, the number of branches increases by an addition of \dfrac{2}{7} 7 2 start fraction, 2, divided by, 7, end fraction of the total number of branches. The number of branches can be modeled by a function, NNN, which depends on the amount of time, ttt (in years). When Aleksandra began the study, her tree had 525252 branches. Write a function that models the number of branches ttt years since Aleksandra began studying her tree. N(t) =N(t)=N, left parenthesis, t, right parenthesis, equals
Answers
Answer:
52(9/7)^t/1.5
Step-by-step explanation:
The function N(t) a which models the number of branches t years after Aleksandra began studying her trees ;
Initial number of branches = 52
Increment every 1.5 years = 2/7
N(t) = Initial * (1 + r)^t
t expressed per year = t/1.5
Hence,
N(t) = 52(1 + 2/7)^t/1.5
N(t) = 52(9/7)^t/1.5
The minute hand of a clock moves from 12:10 to 12:30 a. How many degrees does the minute hand move during this time? b.How many radians does it move during this time?
Answers
Answer:
a. 120 degrees
b. 2.0944 radians
Step-by-step explanation:
From 12:00 to 12:15 there forms a 90 degree angle. If we divide this by 3 we get that every 5 minutes the hand moves 30 degrees. Since in this scenario, the minute hand moved from 12:10 to 12:30 it, therefore, moved a total of 20 minutes so we can do the following math
20 / 5min = 4 times
4 * 30 degrees = 120 degrees
We can see that in this time it moved a total of 120 degrees. Now we can use this value to turn it into radians using the degree to radians formula
degrees * [tex]\pi /180[/tex] = radians
120 * [tex]\pi / 180[/tex] = radians
2.0944 = radians
Write an equation in point-slope form of the line that passes through the point (2, -8) and has a slope of 4. The equation is y- __=__(x-__).
Answers
Answer:
The equation is [tex]y-(-8) = 4(x-2)[/tex].
Step-by-step explanation:
The point-slope form of a line is represented by the formula [tex]y-y_1 = m (x-x_1)[/tex]. In order to write an equation of a line in point-slope form, we would need to substitute real values for the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.
Since [tex]m[/tex] represents the slope of the line, substitute 4 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, substitute the x and y values of (2,-8) in the formula as well. Substitute 2 for [tex]x_1[/tex] and -8 for [tex]y_1[/tex]. This results in the following equation and answer:
[tex]y-(-8) = 4(x-2)[/tex]
(Usually, we would simplify the double negatives on the left side to a positive, but because you have to type the values in to answer the problem and cannot change the written negative sign already visible in the equation, that would be the answer. I believe you can just type in -8 for the first box.)
The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x?
Answers
Answer:
x = -3
Step-by-step explanation:
using the slope formula y2 - y1/x2 - x1 = 1 so
-6 - 1 / x - 4 = 1, so -7/-7 = 1 so x has to be -3 to make the bottom = -7
a polygon with 189 diagonals is called
Answers
Answer:
189 diagonals have 21 sides.
it is called hectogan take care
miguel walked 3/4 miles to the library and then 3/8 miles to the post office. Which statement is true?
Answers
Answer:
Post office is true because 3/4 miles is 1320 yards and 3/8 is only 660 yards. So basically it will take A LONG TIME for him to get there at the library. But you know I am not always accurate /:
please give solutions kindly write and send pic in my whatsap no.( eight zero one seven zero zero zero nine five zero)
Answers
Answer:
You simply take the values away from 180°.
a) 180-85-65 = 30°
b) 180-37-63=80°
c) 180-52-78=50°
d) 180-102-58=20°
e) 180-100-60=20°
f) 180-105-25=50°
g) 180-127-23=30°
In the story "The Most Dangerous Game." General Zaroff is the character foil for
.
Answers
Answer:
I believe it is Whitney Rainsford
In the story "The Most Dangerous Game." General Zaroff is the character foil for
Step-by-step explanation:
Rainsford
Should be the second one
I need help with my math I currently have a C in math and I need my grade up can any of you guys help me ASAP?
Answers
6/10 = 0.6
3/25 = 0.12 and so on
Answer:
All you got to do for all the questions is divide them.
For example:
For the first one its 6/10 so all you gotta do is go on your calculator and press
6/10 and you will get 0.6 which is the answer This is the answer to the question on the worksheet. For the second one its 3/25 so all you got to do is go in your calculator and press 3/25. You will get 0.12 which is your answer. I hope this helped and I hope your grade improves!!! Good Luck!
Step-by-step explanation:
Please help me!!!! I will give brainliest!
Answers
The Ice Cream shop served 40 customers.
Hey there!
The correct answer is 40 customers.
To solve this we can set up the following equation:
36 = .9x
(How I like to remember this is "36 = 90% of what")
Now, we solve. Divide both sides by .9:
40 = x
Have a terrificly amazing day! :D
The area of a sector with a central angle of 30' is 150'. Determine the approximate length of the diameter.
Answers
Answer:
It looks different. Can you provide some formulae based on it. I may help you out in the comment section!
The diameter of the circle is 48 in.
What is a Sector?A circle's sector is a pie-shaped portion made up of the arc and its two radii. At both ends of the arc, when a section of the circle's circumference (also known as an arc) and two of its radii meet, a sector is produced. A sector of a circle resembles a piece of pizza or a pie in shape.
As per the given data:
Central angle of the sector (θ) = 30°
Area of the sector (A) = 150 in²
A = (1/2) × r² × θ {where θ is in radian and r is radius}
Converting 30° to radian.
= 30 × (π/180)
= π/6
150 = (1/2) × r² × π/6
r = √(1800/π)
r = √(576)
r = 24 in
Diameter = 2r
= 2 × 24 in
= 48 in
Hence, the diameter of the circle is 48 in.
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What is 14 percent of 87
Answers
Answer:
87x.14= 12.18
........
Answer: 12.18
Can u give me brainliest
Step-by-step explanation:
What type of correlation exists between the temperature and the number of fruit bars sold? What is the real-world meaning of the slope of the line of best fit for the given scenario? There are approximately more fruit bars sold for every degree(s) the temperature rises
Answers
Answer:
There's no figure, but okay! The type of correlation that exists between the temperature and the number of fruit bars sold is a positive correlation.
The real-world meaning of the slope of the line of best fit for the given scenario is that: As the temperature increases, so too does the number of fruit bars sold.
I hope that helps you!! ^-^
Answer:
What type of correlation exists between the temperature and the number of fruit bars sold?
✔ positive
What is the real-world meaning of the slope of the line of best fit for the given scenario?
There are approximately ✔ 2.2 more fruit bars sold for every ✔ 1 degree(s) the temperature rises.
Step-by-step explanation:
got it right in edg 2021, hope this is of help :)
Show all of your work.
a Jon works at T-Shirts R Us. Yesterday, he unpacked 36 boxes of new shirts. Each
box had 24 shirts in it. How many shirts did he unpack?
Answers
Does anyone know how to do this?
Answers
Answer:
D
Step-by-step explanation:
The question:
10^4= 10000
4^10=1048576
1048576x10000= 10485760000
4^5= 1024
10485760000/1024= 10240000
A. 262144 (NO)
B. 2.62144e+14 (NO)
C. 10000x1073741824= 1.0737418e+13 (NO)
D. 10000x1024= 10240000 (YES)
Hope this helps ^^
6y + 9 - 4/3y = 4y + 2/3y +12
solve this equation
Answers
Step-by-step explanation:
[tex]6y + 9 - \frac{4}{3} y = 4y + \frac{2}{3}y + 12 [/tex]
➡️ [tex]18y + 27 - 4y = 12y + 2y + 36[/tex]
➡️ [tex]14y + 27 = 14y + 36[/tex]
➡️ [tex]27 = 36[/tex]
➡️ [tex]y∈∅[/tex]
24. Pe un cerc sunt dispuse 2014 numere reale, fiecare având modulul 11. Se face suma celor 2014 produse de câte patru numere dispuse consecutiv pe cerc. Atunci suma este
Answers
Answer:
Co czekało na tych co brali udział w powstaniu listopadoCo czekało na tych co brali udział w powstaniu lisCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać zCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strCo czekałCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)ać ze strony cara?)o na tych co bCo czekało Co czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać zeCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze stCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)rony cara?) strony cara?)na tyCo czekało na tych co brali udział w Co czekało na tych co brali udział w powstaniCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)u listopadowym? (czego mogli się spodziewać ze strony cara?)powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)ch co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze stCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)rony cara?)rali udCo czekało na tych co brali udział w powstaniuCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?) listCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)opadowym? (czego mogli się spodziewać ze stCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)rony cara?)ział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)ony cara?)e stronyCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?) cara?)topadowym? (czego mogli się spodziewać ze stCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)rony cara?)wym? (czego mogli się spodziewać ze strony cara?)
Help pls?????????????????
Answers
Answer:
y=-3x-2
Step-by-step explanation:
Find the slope by picking 2points. I did (3,-3) and(0,-2) for instance and you use the y-y/x-x formula to find the slope 0-3/-2+3=-3 and the y intercept, which is -2 was found because it is the y value that corresponds to a 0 in the x.
¿ ʇᴉ ǝʌlos noʎ uɐɔ
[tex] {12}^{2} + {5}^{2} = x[/tex]
Answers
Answer:
x= 169
Step-by-step explanation:
12*12= 144
5*5= 25
x= 144+25
x= 169
....
Answer:
here's the solution :-
=》
[tex]x = {12}^{2} + {5}^{2} [/tex]
=》
[tex]x = 144 + 25[/tex]
=》
[tex]x = 169[/tex]
The conference had 45 people and it increased by 40% the second day. How many more people came on that second day?
Answers
Answer:
Number of people in the conference on first day = 45
It increased by 40% the second day.
To find:
The number of people in the conference on second day.
Solution:
The conference had 45 people and it increased by 40% the second day. So,
Number of people in the conference on second day [tex]=45+40\%\ of\ 45[/tex]
[tex]=45+\dfrac{40}{100}\times 45[/tex]
[tex]=45+18[/tex]
[tex]=63[/tex]
Therefore, the number of people in the conference on second day is 63.
The length of adult King Cobra snakes is normally distributed with µ = 18 feet and σ = 2.1 feet. What is the probability that a randomly selected adult King Cobra snake be over 15.9 feet long? 85.54% 79.08% 15.87% 84.13%
Answers
Answer:
the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%
Step-by-step explanation:
The computation of the probability is shown below":
P(x>15.9) is
[tex]= P (\frac{x - \mu}{\sigma} > \frac{15.9 - 18}{2.1} )\\\\= P (z>-1)\\\\= 0.8413\\\\= 84.13\%[/tex]
Hence, the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%
We simply applied the above formula
Answer:
the probability that a randomly selected adult King Cobra snake be over 15.9 feet long which is 84.13%
Step-by-Step Explanation:
P(X 15.9). Solve for the z-score and then match it with the probability from the area under the normal curve table. Once that is found, take the complement or use symmetry to solve
Note:
Hope this helps you in the future.
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Please help!
Find the value of x for which d II m
Simplify answer.type integer or a fraction
Answers
Step-by-step explanation:
✧ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T \: I \: O \: N}}}} : [/tex]
~Set up an equation and solve for x :
[tex] \large{ \tt2x \degree - 21 \degree = 87 \degree}[/tex] [ Being alternate angles ]
Since we want to get rid of constant on left hand side , add 21 on both sides :
⟿ [tex] \large{ \tt{2x - 21 \degree + 21 \degree = 87 \degree + 21 \degree}}[/tex]
⟿ [tex] \large{ \tt{2x \degree = 108 \degree}}[/tex]
Divide both sides by 2
⟿ [tex] \large{ \tt{ \frac{2x}{2} = \frac{108}{2} \degree}}[/tex]
⟿ [tex] \large{ \tt{x = 54 \degree}}[/tex]
☥ [tex] \boxed{ \boxed{ \large{ \text{Our \: Final \: Answer : } \underline{ \tt{x = 54\degree}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ♪
☄Let me know if you have any questions regarding my answer! ツ
[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}} [/tex] !! ✎
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
A = 6x – 18°
B = 14x + 38°
Answers
explanation:
(6x-18)+(14x+38)=180
x=8
6(8)-18=30
Answer
x = 8
<A = 30
Step-by-step explanation:
6x - 18 + 14x + 38 = 180
Like terms
20x-20=180
subtract
20x = 160
Divide
x=8
Solve for <A
6(8) - 18
Simplify
48 - 18
30
Five percent of canned goods get bumps or dents in the cans during manufacturing. Let X = the number of cans that are inspected before one with a bump or dent is found.
What is the mean and standard deviation of X?
Mean =
Standard deviation =
Answers
Answer:
Mean = 20
Standard deviation = 19.494
Step-by-step explanation:
I got it right.
Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.
Answers
Answer:
3(n + 25) = 50 + 2n
Step-by-step explanation:
5 x 3/5 = 15/5. Simplify...
3
5(10 + 2/5 n )
50 + 10/5 n
50 + 2 n
Find the quotient (PLEASE HELP)
Answers
[tex]{ \dashrightarrow{ \sf{ \green{ \frac{ {x}^{2} - 5x - 36}{x + 2} \div ( {x}^{2} - 18x + 81)}}}} \\ \\ \\ \\ { \dashrightarrow{ \sf{ \green{ \frac{( {x}^{2} - (9x - 4x)- 36)}{x + 2} \div ( {x}^{2} - (9x + 9x) + 81)}}}} \\ \\ \\ { \dashrightarrow{ \sf{ \green{ \frac{ {x}^{2} - 9x + 4x - 36 }{x + 2} \div( {x}^{2} - 9x - 9x + 81)}}}}[/tex]
[tex]{ \dashrightarrow{ \sf{ \green{ \frac{x(x + 4) - 9(x + 4)}{x + 2} \div (x(x - 9) - 9(x - 9))}}}} \\ \\ \\ { \dashrightarrow { \sf{ \green{ \frac{(x + 4)(x - 9)}{(x + 2)} \div ((x - 9)(x - 9))}}}} \\ \\ \\ { \dashrightarrow{ \sf{ \green{ \frac{( x + 4)(x - 9)}{(x + 2)(x - 9)(x - 9)}}}}} [/tex]
[tex]{ \dashrightarrow{ \underline{ \sf{ \green{ \frac{(x + 4)}{(x + 2)(x - 9)}}}}}} \\ \\ \\ [/tex]
A: Find the area of the shaded sector 100° 7 cm
Answers
Answer:
Radius of the circle, r = 8.91 cm
Angle, 0 = 81*
Step-by-step explanation: