A pyramid has a rectangular base with edges of length 10 and 24. The vertex of the pyramid is directly 13 units above the center of the base. What is the: Total surface area of the pyramid?
Answers
Answer:
10 x 24 x 13 = 3120?
Step-by-step explanation:
I hope this is right!
Answer:
[tex]10\sqrt{313} +24\sqrt{194}+240[/tex] square units
Step-by-step explanation:
If your base is 10x24, and the vertical height is 13, you first have to find the slant height of the pyramid, in other words, calculate the hypotenuse of the triangles constructed using the height and the base divided by 2. You will need to find two slant heights as the base is not square. If you look at that image, the slant heights are marked in blue, and the specific measurements know are given in red. Using that, we can apply the Pythagorean theorem to determine the slant heights, which are [tex]\sqrt{194}[/tex] and [tex]\sqrt{313}[/tex], then we need to calculate the area of each triangular face. Thus they are [tex]5\sqrt{313}[/tex] and [tex]12\sqrt{194}[/tex], but there are two identical faces in the pyramid, which means we should double the area of the faces to achieve [tex]10\sqrt{313} +24\sqrt{194}[/tex], then we need to simply add the base as it's a face. So the answer is [tex]10\sqrt{313} +24\sqrt{194}+240[/tex]
Related Questions
Simplify 4.2^-3 x 5.1^2 x 4.2^4 x 5.1^3
Answers
Answer:
14491.060542
Step-by-step explanation:
30 is 85 percent of what number?
Answers
Divide 30 by 85%
30/0.85 = 35.29411765
Answer:
35 5/17 or 35.29411765
Step-by-step explanation:
30 times 100 divided by 85
If M (4.2) is the midpoint of AB and A (-5, -3), find the coordinates of B.
Answers
Given:
M(4,2) is the midpoint of AB and A(-5, -3).
To find:
The coordinates of B.
Solution:
Let the coordinates of point B are (a,b).
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
M(4,2) is the midpoint of AB and A(-5, -3).
[tex]M=\left(\dfrac{-5+a}{2},\dfrac{-3+b}{2}\right)[/tex]
[tex](4,2)=\left(\dfrac{-5+a}{2},\dfrac{-3+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]4=\dfrac{-5+a}{2}[/tex]
[tex]8=-5+a[/tex]
[tex]8+5=a[/tex]
[tex]13=a[/tex]
And,
[tex]2=\dfrac{-3+b}{2}[/tex]
[tex]4=-3+b[/tex]
[tex]4+3=b[/tex]
[tex]7=b[/tex]
Therefore, the coordinates of point B are (13,7).
graph the linear equation y = -6x - 5
Answers
this was my answer from demos
can you help me please
Answers
This question is much easier than the last one. As we can see the yellow are is the same as the bottom area with the same shape. And the area of the 2 hemispheres adds together to a full circle area: 3^2*pi=9pi
Area of yellow region=(36-9pi)/2=18-9/2pi=3.862 and round this to the nearest tenth getting 3.9.
Which linear function represents the table
PLEASE HELP ILL GIVE BRAINLIEST
Answers
Answer:
The answer is D.
Step-by-step explanation:
Hope this helps
The answer is the most reasonable and I learned this as well.
Use algebra tiles to find the difference. Let one yellow tile equal +1 and one red tile equal –1. 12 – (–9)
Answers
Answer:
21
Step-by-step explanation:
12 - (-9)
Open The bracket :
Recall: - * - = +
Hence,
12 + 9 = 21
Esther is participating in a walk-a-thon. She will raise 5 dollars for her charity for each lap she walks.
Let l = the number of laps she walks
Let d = the number of dollars she raises
help PLEASEEEEEEE
Answers
Answer:
The equation is d=5l
As the number of LAPS increases, the number of DOLLARS also increases
Step-by-step explanation:
Edge 2021 on assignment
Answer:
d=5l
laps
dollars
Step-by-step explanation:
i did it and its correct
[tex] \frac{4}{5 } + \frac{3}{20} = [/tex]
Answers
Hope this helps
Answer:
Step-by-step explanation:
[tex]\frac{4}{5}+\frac{3}{20}\\ \\ \frac{4}{5}\left(\frac{4}{4}\right)+\frac{3}{20}\\ \\ \frac{16+3}{20}\\ \\ \frac{19}{20}[/tex]
Marcus borrowed 9000 from his bank to buy a car. The bank charged him a simple interest rate of 1.25%. By the time he paid back the money he had pad a total of 9281.25. How long did it take Marcus to pay back the money?
Answers
Answer:
2.5 years
Step-by-step explanation:
Given data
P=9000
r= 1.25%
A= 9281.25
The simple interest expression is given as
A=P(1+rt)
substitute
9281.25= 9000(1+0.0125*t)
9281.25=9000+112.5t
collect like terms
9281.25-9000=112.5t
281.25= 112.5t
t= 281.25/112.5
t= 2.5
Hence the time is 2.5 years
f (x) = 3x+2 / x-1 untuk x ≠ 1, maka invers fungsi f (x) adalah
Answers
Answer:
Step-by-step explanation:
hello : F (x) = 3x+2 / x-1
let : F (x) = y.....x ?
y= 3x+2 / x-1
y(x-1) =3x+2
yx-y= 3x+2
yx-3x = y+2
x(y-3) = y+2
for y ≠ 3
x= (y+2)/(y-3)
invers fungsi f (x) : g(x) = (x+2)/(x-3) ..... x ≠ 3
Can someone help with this question
Answers
Answer:
3 and 4
Step-by-step explanation:
Answer
Im cool :d
Step-by-step explanation:
What is the length of AB? A.2.59 B.9.66 C.10.35 D38.64
Answers
Answer:
what
Step-by-step explanation:
is the questionn
solve each equation by substituting. y=-3x+5
5x-4y=-3
not different problems they are in the same problem
Answers
Answer:
(1, 2 )
Step-by-step explanation:
Given the 2 equations
y = - 3x + 5 → (1)
5x - 4y = - 3 → (2)
Substitute y = - 3x + 5 into (2)
5x - 4(- 3x + 5) = - 3 ← distribute and simplify left side
5x + 12x - 20 = - 3
17x - 20 = - 3 ( add 20 to both sides )
17x = 17 ( divide both sides by 17 )
x = 1
Substitute x = 1 into (1) for corresponding value of y
y = - 3(1) + 5 = - 3 + 5 = 2
solution is (1, 2 )
Answer:
x = 1 and y = 2
Step-by-step explanation:
y + 3x = 5 -------------> (1)
-4y + 5x = -3 -------------> (2)
(1) * 4
=> 4y + 12x = 20 --------> (3)
(3) + (2)
=> 0y + 17x = 17
=> 17x = 17
by dividing both sides by 17
=> x = 1
by putting x = 1 into (1)
=> y + 3*1 = 5
=> y + 3 = 5
=> y = 5 - 3
=> y = 2
If 23% of is 46, then what is the value of ?
Answers
Answer:
10.58
Step-by-step explanation:
the percentage multiplier is 0.23
so do 46 x0.23 = 10.58
!!!HELP ASAP!!
Sam is installing a walkway around a rectangular flower patch in his garden. The flower patch is 12 feet long and 6 feet wide. The width of the
walkway is x feet.
by the flower patch and walkway by multiplying the functions modeling the new
Sam created function A to represent the total area taken
total length and width.
As) = 4:2 + 36.1 + 72
What does 412 + 365 represent in this function?
ОА
the area of the walkway along the length of the flower patch
the total area of the walkway
OB.
Oc. the total area of the flower patch
OD.
the area of the walkway along the width of the flower patch
Reset
Next
s reserved.
Answers
Answer:
A
Step-by-step explanation:
The thing that is represented is the area of the walkway along the length of the flower patch. Therefore, option A is the correct answer.
Given that, Sam created function A to represent the total area taken total length and width A= 4:2 + 36.1 + 72
How to illustrate the function?From the information given, Sam created function A to represent the total area taken up by the flower patch and walkway by multiplying the functions modelling the new total length and width.
Therefore, option A is the correct answer.
Learn more about functions on:
brainly.com/question/25638609
#SPJ2
All rational numbers are whole numbers? True or false
Answers
7/17% of a quantity is equal to what fraction of the quantity?
Answers
Answer:
41/10,000
Step-by-step explanation:
7/17% = 0.41% = 0.0041
41/10,000
The given quantity 7/17% is a whole fraction of the number 41.17.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
here,
Let the x be the required number,
x = 7 / 17%
x = 7/ 0.17
x = 41.17
Thus, the given quantity 7/17% is a whole fraction of the number 41.17.
Learn more about percentages here:
brainly.com/question/13450942
#SPJ1
What is 12 * 54 plus 88 ?
Answers
Answer: 736
Step-by-step explanation: Hope that helps!!!!
Happy valentines day and have a great day!
Debra made $228 for 12 hours of work.
At the same rate, how many hours would she have to work to make $323?
Answers
Answer:
17 hours
Step-by-step explanation:
Set up a proportion: [tex]\frac{12}{228} = \frac{x}{323}[/tex] Cross multiply, then divide: 12 × 323 = 3876, 3876 ÷ 228 = 17So, she would have to work 17 hours to make $323.I hope this helps!
show your work plzzz i will give you the points
Answers
Answer:
I do not see a problem.
Step-by-step explanation:
Thanks for the points.
Omar rented a truck for one day. There was a base fee of $15.99, and there was an additional charge of 74 cents for each mile driven. Omar had to pay
$166.95 when he returned the truck. For how many miles did he drive the truck?
Answers
[tex]15.99 + 0.74(m)[/tex]
[tex]15.99 + 0.74(m) = 166.95[/tex]
[tex]15.99 - 15.99 + 0.74(m) = 166.95 - 15.99[/tex]
[tex]0.74m = 150.96[/tex]
[tex] \frac{0.74m}{0.74} = \frac{150.96}{0.74} [/tex]
[tex]m = 204[/tex]
He drove 204 miles.
*EXTRA PTS* find the value
Answers
16) -7
17) 9
18) 5
19) 4
20) 10
21) -9
How?
X+139=132 by the alternate interior angle rule so solve and get -7
-1+14x=12x+17 by the alternate exterior angle rule so solve and get 9
21x+5= 23x-5 by the corresponding angles rule solve and get 5
20x+5+24x-1= 180 because when an angle is one a parallel line the sun of angle to the right or left of it is 180 solve and get 4
6x= 5x+10 by the corresponding angles rule solve and get 10
X+109+x+89= 180 because x+89 is equal to the angle that is too the right of x+109 by the alternate interior angle rule making the sum equal to 108. Solve and you get -9
That was a lot of math
Hope it helps :D
One morning, the thermometer read -14 fahrenheit. By noon, the temperature had risen 12 degrees. What was the temperature at noon?
Answers
Answer:
-2 degrees
Step-by-step explanation:
-14 + 12 = -2
A right triangle has side lengths,8,15,17 and as shown below.
Use these lengths to find, tan b, cos b, sin b
Answers
Remember the chant "soh cah toa"
sine = opposite ÷ hypotheneus
cosine = adjacent ÷ hypotheneus
tangent = opposite ÷ adjacent
remember that hypotheneus is the slanty side, opposite and adjacent side is in COMPARISON with the angle you want to find.
In this case, tan B would be 15/8
sinB = 15/17
cosB = 8/17
2(1/2z+ 4)- 0.5
what could this be re written as?
a. z-3.5
b. z+7.5
c. z+8.5
d. 2z+3.5
Answers
First simplify whatever is in the parenthesis, do 2 times 1/2 and 2*8, which equates to z+8-0.5. Simplify further by subtracting 0.5 from 8 and you get z+7.5
Answer:
B. z+7.5 is the answer I chose
What’s a Y-Intercept that’s the question is asking
Answers
Answer:
A y-intercept is were your line (on a graph) starts.
The resale value of a certain car when purchased new is $20,000. The car is expected to lose 10% of its value each year.
Which graph shows the predicted value of the car over time?
HELPPPP I’M GIVING 18 points ASAP
The graph that shows the predicted value of the car over time is the
a. Red graph, 1
b. Blue graph, g
c. Green graph, h
d. Orange graph, k
This makes sense because it’s y-intercept is at
a. 10,000
b. 20,000
And it
a. Increases
b. Decreases
Answers
Answer:
The red graph. y intercept is at 20k and is decreasing
The time T takes to buy a fuel at a petrol station varies directly as the number of vehicles V on a quare and inversely as the number of pumps P available in the station. In a station with pumps, it took 10minutes to uel 20 vehicles. Find 1. The relationsip between T, P and V. 2. The time it will take to fuel 50 vehicles in the station with 2 pumps. 3. The number of pumps required to fuel 40 vehicles in 20 minutes.
Answers
Answer:
The time T takes to buy a fuel at a petrol station varies directly as the number of vehicles V on a quare and inversely as the number of pumps P available in the station. In a station with pumps, it took 10minutes to uel 20 vehicles. Find 1. The relationsip between T, P and V. 2. The time it will take to fuel 50 vehicles in the station with 2 pumps. 3. The number of pumps required to fuel 40 vehicles in 20 minutes.
What is the value of x?
Enter your answer in the box.
x =
Two intersection lines. Angle formed at the top is labeled 3 x plus 50 degrees. Angle formed at the bottom is labeled 6 x minus 10 degrees.
Answers
Answer:
the anwser is (60-50)
Step-by-step explanation:
took the test
