Answer:
Hence, total surface area of the pyramid is 360 cm².
Step-by-step explanation:
We first calculate slant height L of the pyramid with base s=10 cm and height 12 cm:
L²=H²+(s/2)²=122+(10/2)²=122+5²
=144+25=169⇒
L=(169)^1/2=13
The perimeter of the base is P=4s, since it is a square, therefore,
P=4×10=40 cm
The general formula for the lateral surface area of a regular pyramid is LSA=1/2Pl where P represents the perimeter of the base and l is the slant height.
Since the perimeter of the pyramid is P=40 cm and the slant height is l=13 cm, therefore, the lateral surface area is:
LSA=1/2Pl=1/2×40×13=260 cm²
Now, the area of the base B=s² with s=10 cm is:
B=s²=10²=100 cm²
The general formula for the total surface area of a regular pyramid is TSA=1/2Pl+B where P represents the perimeter of the base, l is the slant height and B is the area of the base.
Since LSA=1/2Pl=260 cm² and area of the base is B=100 cm², therefore, the total surface area is:
TSA=1/2Pl+B=260+100=360 cm²
Hence, total surface area of the pyramid is 360 cm².
Ms. Drew wants to build a square sand box with an area of 225 sq ft what is the lenght of woods she needs
Been stuck on this one. Sos
Answer:
B. 50%
Step-by-step explanation:
7/20 = 35%
35% + 15% = 50%
100% - 50% = 50%
How do you convert 3.2 (2 repeating) as a fraction?
Answer:
3+2/9 = 29/9
Step-by-step explanation:
examples:
4/9 = 0.444444
8/9 = 0.888888
3/9 = 0.3333333
7/9 = 0.777777
1/9 = 0.111111111
2/9 = 0.22222222
80/99 = 0.808080
67/99 = 0.6767676767
44/99 = 0.4444444
12/99 = 0.1212121212
345/999 = 0.345345345
i think you get the point.
so we know 2/9 = 0.22222, so now just add a 3:
3+ 2/9 = 27/9 + 2/9 = 29/9
Find three irrational numbers between
0.53 and 0.54
Answer:
Step-by-step explanation:
You could use anything that does not change the value of 3 in 0.53 or the 4 in 0.54
So for example
0.533
0.536
0.538
all would make the sentence above true.
Answer:
0,533(3); 0,53111(1); 0,53222(2)
Step-by-step explanation:
a is a number to find
0,53<a<0,54
=>a ∈ { 0,53111(1); 0,53122(2);....;0,5399(9)}
John is building a rectangle pen for his sheep. The length of the pen is 5 more than 8 times the width of the pen
Answer:
if this is it the equation would be L = 8w + 5
i need to know whether it is the minimum or maximum function and what that number is as well as where x axis intercepts the quadratic graph . i need to know if there are any roots in the quadratic graph, and i need to know when y=1 , the value of x could be x= or x=
Answer:
The minimum value of this quadratic function is -4.
At the point (-4, 0), the x-axis intercepts with the quadratic graph.
There is 1 root of this quadratic equation.
Approximately, when y=1, the x value could be -5 or -3.
A statement that consistently and correctly describes a natural phenomenon is a scientific.
A. Control
B. Theory
C. Hypothesis
D. Observation
How many cubes of side 2cm can be fitted into a box 12 cm long, 8cm wide and 4cm high?
Answer:
there are 48cubes fetted into a box
Please help will give brainliest
Solve the equation.
-(x + 2) – 2x = -2(x + 1)
x = [?]
Answer:
x = 0
Step-by-step explanation:
-(x + 2) – 2x = -2(x + 1)
-x-2-2x = -2x-2
-3x-2 = -2x-2
-3x+2x = -2+2
x = 0
Answer:
x = 0Step-by-step explanation:
-(x + 2) – 2x = -2(x + 1)
=> - x - 2 - 2x = -2x - 2
=> - 2 + 2 = - 2x + 2x + x
=> 0 = x or x = 0 (Ans)
The points A(− 7,-8) and B(18,-8) are the two vertices of an isosceles triangle ABC, where AB=BC. The equation of the perpendicular from B to AC is 4x+3y= 48, try to find the coordinates of point C
Really need some help with this, thank you very much.
Answer:
HOPE THIS ANSWER WILL HELP YOU
Type the correct answer in the box. Round your answer to the nearest hour. A scientist running an experiment starts with 100 bacteria cells. These bacteria double their population every 15 hours. Find how long it takes for the bacteria cells to increase to 300. Use the formula , where is the original number of bacteria cells, is the number after t hours, and d is the time taken to double the number. It takes 15 hours for the number of bacteria to increase to 300.
Answer:
so 15 hour for the 100 to become 200 and then it will become 400 in another 15 hours. but we need to find the time for 300 so it will take half of 15 hours
+ 15 hours for it to become 300 cells which is: 7 1/2 + 15 = 22 hours and 30 minutes
Step-by-step explanation:
answer from gauth math
Answer:
22 hours and 30 minutes
Step-by-step explanation:
E is the mid point of DF. If DE= 7x. What is the length of DE
Answer:
I think you're missing information and don't you mean "what's the length of DF?"
Help please ASAP!!!!!
Answer:
answer is c because you gota tranlate it left
Step-by-step explanation:
Use a commutative property to write an equivalent expression.
7x + y
9514 1404 393
Answer:
y +7x
Step-by-step explanation:
The commutative property of addition lets you swap the order of the two terms:
7x +y = y +7x
The commutative property of multiplication lets you swap the order of the factors.
7x +y = x·7 +y
Question is in the picture
9514 1404 393
Answer:
x = 3y = 9Step-by-step explanation:
Congruent sides are the same length.
AB = DF
3(2x +10) = 12x +12
6x +30 = 12x +12 . . . . eliminate parentheses
18 = 6x . . . . . . . . . . . . subtract 6x+12
3 = x . . . . . . . . . . . . . divide by 6
__
BC = FG
2y +12 = 2(2y -3)
y +6 = 2y -3 . . . . . . . divide by 2
9 = y . . . . . . . . . . . . subtract y-3
Use the number line to find a fraction that equals to 1/2
Patrick is a loan officer at a bank. He has
$2,000,000 to lend out and has two loan programs.
His home equity loan is currently priced at 6% per
annum, and his unsecured personal loan is priced
at 14%. The bank president wants Patrick to earn
a rate of return of 12% on the $2,000,000 available.
How much should Patrick lend out at 6%?
Answer:
1,500,000 at 14% and 500,000 at 6%
Step-by-step explanation:
x + y = 2,000,000
.14x + .06y = 240,000
[tex]0.14x+0.06\left(2000000-x\right)=240000\quad :\quad x=1500000[/tex]
What is the cube of the cube root of 27?
Answer:
[tex] { \sqrt[3]{27} }^{3} \\ we \: can \: solve \: this \: in \: two \: ways \\ 1)cube \: root \: means \: power \frac{1}{3} \\ so \: { \sqrt[3]{27} }^{3} = { {27}^{ \frac{1}{3} } }^{3} = {27}^{ \frac{3}{3} } = 27 \\ 2) { \sqrt[3]{27} }^{3} \\ \sqrt[3]{27} = 3 \\ so \: {3}^{3} = 27 \\ thank \: you[/tex]
Find the 50th term of the following
arithmetic sequence 5, 9, 13, 17?
Answer:
201
Step-by-step explanation:
First you need to know the position to term rule and to find this you use a formula which is:
tn = an + b
Where tn is the term number, a is the difference between the other terms.
So the tposition to term rule here is 4n+1.
Then we substitute n for the value 50 making it 4(50) + 1 = 201.
201 is the 50th term
When 59,527 is divided by 23, the quotient is 2,588 R ___.
Answer:
3
Step-by-step explanation:
When 59,527 is divided by 23, the quotient is 2,588 R3.
Hope this helps! :)
pls help..
10 Round off 843 426 to the nearest thousand.
When g ( t ) = 3 t 2 + 2 t + 1 , evaluate g ( − 4 )
Answer:
Just substitue every 't' with -4
Step-by-step explanation:
g(-4) = 3*(-4)*(-4) + 2*(-4) + 1
g(-4) = 64-8+1
g(-4) = 57
Answer:
g(-4) is 41
Step-by-step explanation:
[tex]g(t) = 3 {t}^{2} + 2t + 1[/tex]
when t is -4, substitute -4 in place of t:
[tex]g( - 4) = 3 {( - 4)}^{2} + 2( - 4) + 1 \\ g( - 4) = 48 - 8 + 1 \\ g( - 4) = 41[/tex]
Write an absolute value equation with-1 and 5 as the solution.
Answer:
it is detailed solution. please mark brainlest.
Thank you have a nice day
The equation of the absolute function that has the solutions of -1 and 5 will be |x - 2| = 3.
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
The absolute function is given as
f(x) = | x |
The solutions of the absolute function are -1 and 5. Then the equation of the absolute function will be
x = -1, 5
Subtract -2 from both sides, then we have
x - 2 = -3, 3
Then apply Mode on both sides, then the equation will be
|x - 2| = 3
The equation of the absolute function that has the solutions of -1 and 5 will be |x - 2| = 3.
More about the absolute function link is given below.
https://brainly.com/question/10664936
#SPJ2
I don't exactly remember how to do this
Answer:
29 or D
Step-by-step explanation:
You square both sides to get
7 + y = 36
You then subtract 7 from both sides to get
y = 36 - 7
y = 29
Which of the following is the smallest number?
O 7.8* 102
O 2.36 * 10-3
O 1.94 * 105
04.19* 109
In a well-shuffled, standard 52 card deck, what is the probability that a card is a Queen, given that it is a black card
Answer:
2/52
Step-by-step explanation:
i need help answering the question in the picture provided
answer:
(a).
Equation of circle is x² + y² - 25 = 0
(b).
(-5, 0) » yes
(√7, 1) » no
(-3, √21) » no
(0, 7) » no
Step-by-step explanation:
(a).
If centred at origin, centre is (0, 0)
General equation of circle:
[tex]{ \boxed{ \bf{ {x}^{2} + {y}^{2} + 2gx + 2fy + c = 0}}}[/tex]
but g and f are 0:
[tex] {x}^{2} + {y}^{2} + c = 0 \\ but : \\ c = {g}^{2} + {f}^{2} - {r}^{2} \\ c = { - 25} [/tex]
can i use a cash counter as a cashier. As in a website on my phone that tells me the exact change to give out to a person
write 0.8 as a fraction in simplest form.
The answer would be 8/10, but the simplified answer would be 4/5. I hope this helped answer your question for you. Enjoy your day, and take care!
what is the standard deviation for city A and city B
Answer:
$0.8426
Step-by-step explanation:
steps are in the picture above.
Note:if you need to ask any question please let me know.