Find the surface area of the pyramid.
A. 64 in.2
B. 56 in.2
C. 88 in.2
D. 118 in.2
Answers
Answer:
I believe it may be A.
Step-by-step explanation:
The formula looks complicated so I'm going to simplify it.
SA = 1/2 (4 * side of base * height) + side of base^2
Using this, we can get our answer.
1/2 (4 * 4 * 6) + 4^2
1/2 * 96 + 16
48 + 16
64
Thus the answer should be 64in. ^2
The surface area of the pyramid is 64 inch².
What is Surface area?A three-dimensional shape's surface area is the sum of all of its faces. To calculate the surface area of a shape, we add the areas of each face.
Here the pyramid has 4 triangles and one square.
Side of base square = 4 inch
Height of Triangle = 6 inch
Then, area of base
= side²
= 4²
= 16 inch²
and, Area of Triangle = 1/2 x base x height
= 1/2 x 4 x 6
= 12 inch²
So, the Surface Area of pyramid
SA = 1/2 (4 x t) + side²
= 12 x 4 + 16
= 48+ 16
= 64 inch²
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Related Questions
Gene has a gasoline budget of $275 per month. He uses an average of $7 of gasoline each day he drives. Which of the following equations represents how much money is left in his gasoline budget after x days of driving?
Answers
The equation to represent how much money is left in Gene's gasoline budget after driving for x days is y = 275 - 7x, where x is the number of days Gene drives and y is the money left in the budget.
Explanation:The equation representing how much money is left in Gene's gasoline budget after driving for x days can be expressed as y = 275 - 7x. Here, 275 represents the monthly gasoline budget, 7 is the cost of gasoline each day, and x is the number of days. If we plot y against x, we can visualize how Gene's monthly gasoline budget decreases by $7 for each day he drives.
This equation is a simple example of a linear equation, which describes a straight line in a coordinate system. The variable x is the independent variable (number of days driven) and y is the dependent variable (money left in the budget). The slope of the line (-7) represents the rate at which the budget decreases each day.
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if the selling price is $18.00 and the markup is 33%.what is te dollar markdown?
Answers
If the markup is 33%, then the markdown is 67%
(18*67)/100 = x
1.206/100 = x
100x = 1.206
x = 1.206/100
x = 12,06$
if g(x) equals 4x + 5, which statement is true? Select the correct answer.
Answers
Hey l need summ more info just email me and we can get this done
I need to know the area of the shape base 1 (27ft) base 2(34ft) Height (12ft)
Answers
.. A = (1/2)*(b₁ +b₂)h
Use it.
.. A = (1/2)*(27 ft +34 ft)*(12 ft)
.. = (1/2)*(61 ft)*(12 ft)
.. = (30.5 ft)*(12 ft)
.. = 366 ft²
A probability experiment is conducted wich of these can not be considered a probability of an outcome: a) 0.222 b) 8.2% c) 0.0234 d) 122.96% e) 5/3 f) 0.45%
Answers
122.96% and 5/3 cannot be considered probabilities of outcomes in a probability experiment because they are greater than 1. Correct option is d and e.
In probability, the probability of an outcome must be a value between 0 and 1, inclusive. Therefore, any value less than 0 or greater than 1 cannot be considered a probability of an outcome.
Let's check each option:
a) 0.222 - This is a valid probability since it is between 0 and 1.
b) 8.2% - This can be converted to a decimal as 0.082, which is a valid probability since it is between 0 and 1.
c) 0.0234 - This is a valid probability since it is between 0 and 1.
d) 122.96% - This can be converted to a decimal as 1.2296, which is not a valid probability since it is greater than 1.
e) 5/3 - This can be simplified to approximately 1.6667, which is not a valid probability since it is greater than 1.
f) 0.45% - This can be converted to a decimal as 0.0045, which is a valid probability since it is between 0 and 1.
Therefore, options (d) 122.96% and (e) 5/3 cannot be considered probabilities of outcomes in a probability experiment because they are greater than 1. The other options are valid probabilities as they fall within the range of 0 to 1, inclusive.
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The area of a trapezoid is 144 ft squared. If the height is 8 ft and one of the bases is 12 ft, what is the length of the other base?
A. 7.2 ft
B. 14.4 ft
C. 24 ft
D. 16 ft
Answers
144 = (12+x)* 4
36 = 12 +x
x = 36-12
x =24
Answer is C
Graph the function y=x+8 ?
Answers
Let me know if you need anything else!
~ Zoe
Find the total surface area of the cube box below
Answers
Please help me !!! Easy math
Answers
Answer:
i agree with answer above mine
Step-by-step explanation:
Alison is currently three times as old as Mike. 5 years ago, Alison was eight times as old as Mike. How old is Alison now?
Answers
Natalie worked during the summer for 12 weeks at an amusement park. She earned a salary and put 30% of her earnings into savings. At the end of the summer, her savings were a total of $486. How much was she paid every month (4 weeks)? Help please
Answers
162/3=54
54x10=540
$540 every 4 weeks
find the separate equations form the lins represented by 3x^2 + 10xy + 8y^2 + 14x + 22y + 15
Answers
3x^2 is factorable only as 3x and x.
15 can be 15 * 1 or 3 * 5.
As a first guess, I place 5 and 3 in that order.
The coefficients of y are unknown so far.
= (3x + Ay + 5)(x + By + 3)
= 3x^2 + 3Bxy + 9x + Axy + ABy^2 + 3Ay + 5x + 5By + 15
(3B + A)xy = 10xy
(3A + 5B)y = 22y
A + 3B = 10
3A + 5B = 22
-3A - 9B = -30
3A + 5B = 22
4B = 8
B = 2
A + 3B = 10
A + 6 = 10
A = 4
3x^2 + 10xy + 8y^2 + 14x + 22y + 15 = (3x + 4y + 5)(x + 2y + 3)
The product of (3x + 4y + 5)(x + 2y + 3) is indeed
3x^2 + 10xy + 8y^2 + 14x + 22y + 15
The lines are
3x + 4y + 5 = 0
x + 2y + 3 = 0
sorry.. I didn't know where else to send dis...(+_+)
Can anyone help me? Or at least explain how you solved the problem
Answers
Answer is 2.
What is the solution to the system of equations?
2x – y = 7
y = 2x + 3
(2, 3)
(2, 7)
no solution
infinite number of solutions
Answers
The given system of equations has no solution.
EXPLANATION
We write the two equations in the slope-intercept form,
[tex]y = mx + c[/tex]
The first equation is
[tex]2x - y = 7[/tex]
We make y the subject to obtain,
[tex]y = 2x - 7 - - (1)[/tex]
The second equation is already in slope intercept form.
[tex]y = 2x + 3 - - (2)[/tex]
We can see that the two equations have the same slope but different y-intercept. This implies that, the two equations will never intersect. Therefore the system of equations has no solution.
What is the surface area of this design/
Answers
Please help!! Due soon
Answers
-----------------------------------------------
Explanation:
Let
P = area of triangle ABC
Q = area of triangle ACD
The two areas mentioned above are in ratio 1.5:1 which basically means
P = 1.5*k
Q = 1*k
for some value k
Notice how P/Q = (1.5k)/(1k) = 1.5 which proves that P:Q = 1.5:1
We can find the value of k by determining the area of triangle ABC
P = area of triangle ABC
P = (base)*(height)/2
P = 36*10/2
P = 360/2
P = 180
If P = 180, then
P = 1.5*k
1.5*k = 180
k = 180/1.5
k = 120
Telling us that
Q = 1*k
Q = 1*120
Q = 120
Q = area of triangle ACD
area of triangle ACD = 120
note how P/Q = 180/120 = 1.5 so P:Q = 1.5:1
We'll use this area to find the base of triangle ACD which is AD
Area of Triangle ACD = (base)*(height)/2
120 = AD*10/2
120*2 = AD*10
240 = AD*10
240/10 = AD
24 = AD
AD = 24
I need the answers to 5&6 explain how you found the answer and I'll give brainliest
Answers
Both of these problems can be solved through substitution using the variables that you know equal a number.
For example #5: 5(3)(3)-7(3)+4
45-21= 24, and 24+8=28
That is how you solve number 5 and can also solve 6 the same way using the same method.
PLZ HELP!!!!!! (WILL GIVE BRAINLIEST!!!!)
Answers
Which relationship between x and y in the equation shows a proportional relationship y=12x y=12/x y=2x+6 y=x/2+3
Answers
_____
y = 12/x is an inverse relationship
y = 2x+6
y = x/2 +3 are both linear relationships, but not proportional relationships.
Help with 3 and show all work
Answers
< is less than
> is greater than
Without him paying the extra fee is <=50
x is pounds.
Now, you have x<=50.
Hope this helped☺☺
The answer should be x<=50, or x is less than or equal to 50.
Your previous answer was almost correct, but the inequality actually has a less than or equal to sign since Michael could still be at exactly 50 pounds without having to pay extra. The charge only applies when the weight is more than 50 pounds.
Hope this helps!
What is the answer to 2/5 + 7/20 and 6/15 + 14/40
Answers
6/15+14/40=3/4
Joel is looking at costs for using a gym. He could pay $50 per month for unlimited use or he could pay $12 per month plus $4 per visit. How many visits would he have to make each month to make the $50 per month unlimited use option the cheapest one?
Answers
[tex]y = 4x + 12[/tex]
Joel would have to go at least 10 times per month to make the 50 dollars per month the cheapest one.
Answer:
First choice is cheaper.
Step-by-step explanation:
Joel could pay $50 per month for unlimited use or he could pay $12 per month plus $4 per visit.
Let the monthly visits be x
We can define this as :
[tex]12+4x> 50[/tex]
[tex]4x >50-12[/tex]
[tex]4x >38[/tex]
[tex]x> 9.5[/tex]
So, x can be greater than 9.5 means 10.
[tex]4(10)+12>50[/tex]
[tex]52 > 50[/tex]
Comparing both we can say that the first choice is cheaper.
"write an equation in slope-intercept form of the line satisfying the given conditions."
The line passes through (-3,2) and is parallel to the line whose equation is y = 4x + 1.
How do I do this problem? Show all work.
Answers
This is because y = 4x+1 is in the form y = mx+b (m = 4 is the slope)
Any line parallel to the given line is also going to have the same slope of m = 4
Plug in m = 4 and (x,y) = (-3,2) and then solve for b
y = mx+b
2 = 4(-3)+b
2 = -12+b
2+12 = -12+b+12
14 = b
b = 14
So m = 4 and b = 14 means that y = mx+b turns into y = 4x+14
----------------------------------------
Final Answer: y = 4x+14
a circular rug is 6 feet in diameter. binding for the edge costs $1.50 per yard. what will it cost to bind the rug? justify your answer
Answers
d = diameter length
C = πd
How many yards in 6 feet?
1 yard = 3 feet
So, 2 yards = 6 feet
C = π(2 yards)
C = 2π yards
Each yard is $1.50.
So, what do you think we do next?
Can you finish?
7.2 = 8t
t = ???
I need a little help with this one
sorry...
Answers
7.2/8= 0.9 and 8t/8=t
T=0.9
There is no problem with needing a little help, no need to apologize. To solve this use the inverse operation of multiplication (division) to solve. See photo :D
Cheers,
Izzy
S = √3*73.5 /4.5=7 (Khufu’s pyramid)
The volume of Khafre’s pyramid is about 9/10 the volume of Khufu’s pyramid. If Kristina wants to make the second model pyramid so its volume is 9/10 the volume of the first model pyramid, what volume should she make the second model pyramid?
This goes with the other questions! if you need information i can get that for you!
Also, could you work it out!
Answers
3/6 should b you answer answer
Final answer:
The volume will be of 6.3 for the second model.
Explanation:
The student is asked to calculate the volume of the second model pyramid, Khafre's pyramid, which is 9/10 the volume of the first model, Khufu's pyramid. The student has already calculated that, for Khufu's pyramid, S = √3*73.5/4.5=7. To find the volume Kristina should make the second model, we simply multiply the volume of the first model by 9/10.
Although the question does not provide the exact volume of the first model, we will assume the value of S given is the volume of Khufu's pyramid model. Therefore, the volume of Khafre's pyramid model should be 7 * (9/10) = 6.3.
This result is based on the proportion given between the two pyramids' volumes and is a straightforward calculation of this proportion.
A recipe calls for 1/4 teaspoon of shortening for every 2/3 cup of milk. What is the unit rate of cups per teaspoon? Explain
Answers
To find the rate for a whole teaspoon, multiply 2/3 by 4 to get 8/3, or 2 2/3.
So, the rate is 2 2/3 cups of shortening per teaspoon.
Hope this helps!
everyday on her way home from school, Minnie usea $1 to buy a bag of chips. The bag cost $0.75, and she saves the remaining quarter in her change jar. Minnie buys 5 bags of chips per week. At this rate, how long will it take her to save $10.00
Answers
His train has been running for 2 1/2 Days straight at a constant speed of 4.8 mph. How far has he traveled?
Answers
Congruency means that two figures or items are exactly the same size and shape. Where in life would it be vitally important for two or more items to be congruent?
Answers
Hope this helps!
Brainliest? Please?