Answers
Given:
Length of a side of base of a square base pyramid = 6 cm
Height of each triangular surface = 4 cm.
To find:
The total surface area of the square based pyramid.
Solution:
Area of a square with side length a is
[tex]\text{Area of square}=a^2[/tex]
Area of square with side length 6 cm is
[tex]\text{Area of square}=(6)^2[/tex]
[tex]\text{Area of square}=36[/tex]
So, area of square with side length 6 cm is 36 cm².
Area of triangle is
[tex]\text{Area of a triangle}=\dfrac{1}{2}\times base\times height[/tex]
Area of each triangular surface is
[tex]\text{Area of each triangular surface}=\dfrac{1}{2}\times (6)\times (4)[/tex]
[tex]\text{Area of each triangular surface}=12[/tex]
Total area of 4 triangular surfaces is
[tex]\text{Area of 4 triangular surfaces}=4\times 12[/tex]
[tex]\text{Area of 4 triangular surfaces}=48[/tex]
So, area of all triangular surfaces is 48 cm².
Now, total area of pyramid is the sum of base area and area of all triangular sides.
[tex]Area=36+48[/tex]
[tex]Area=84[/tex]
Therefore, the area of given square pyramid is 84 cm².
Related Questions
A recipe for pie dough calls for a ratio of butter to flour of 1/4 : 5/6. If you plan to use 5 cups of flour, how much butter should you use to keep the same ratio?
Answers
Answer:1 2/4
Step-by-step explanation:
What is the quotient of
(x^3+3x^2-4x– 12) (x^2+5x+6)?
O x + 2
O X-2
OX-8
Ox+8
Answers
Answer:
B) X-2
Step-by-step explanation:
The quotient of given polynomials division is (x-2). Therefore, option B is the correct answer.
What is a quotient?A quotient is a quantity produced by the division of two numbers or two terms. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.
The given polynomials are (x³+3x²-4x-12) and (x²+5x+6)
Here, (x³+3x²-4x-12) can be written as
x²(x+3)-4(x+3)
= (x+3)(x²-4)
= (x+3)(x+2)(x-2)
Now, (x²+5x+6) can be written as
x²+3x+2x+6
= x(x+3)+2(x+3)
= (x+3)(x+2)
So, (x+3)(x+2)(x-2)/(x+3)(x+2)
= (x-2)
Therefore, option B is the correct answer.
Learn more about the quotient here:
https://brainly.com/question/16134410.
#SPJ5
I don't have many points but I will give all my points can someone tell me the answer for both pls
Answers
Answer:
50. B51. -3x + y = 11Step-by-step explanation:
50......................................................................
Parallel lines have equal slopes.
Converting the given into slope-intercept form:
2x + 3y = 153y = -2x + 15y = -2/3x + 5Option B is the parallel line with different y-intercept
51.......................................................................
Perpendicular lines have negative reciprocal slopes.
Converting the given into slope-intercept form:
x + 3y = 153y = -x + 15y = -1/3x + 5Perpendicular line will have a slope of
m*(-1/3) = - 1 m = 3The equation will be:
y = 3x + bto find b using the given point (-2. 5)
5 = 3*(-2) + b5 = -6 + b5 + 6 = bb = 11So the line is:
y = 3x + 11or
-3x + y = 11 in standard formJohanna took $125 to the mall. She bought 5 shirts (s) that cost the same price. Which expression represents the amount of money, in dollars, that Johanna had after she bought the shirts?
Answers
Answer:
I think its something like: Money Leftover = 125 - (price of one shirt * 5)
Step-by-step explanation:
just use variables in the place of "price of one shirt" and "Money Leftover".
multiplying the price of one shirt by five since she buys 5 of the same shirt and subtracting that value from her budget will leave you with the amount of money she had left after the purchase.
Answer:
125-5s=money left over (s is the price of one shirt)
Step-by-step explanation: I hope this helps!
A password hash function is applied 12 times to secure a password. If it takes 21 minutes to brute force one application of the hash with the available resources, how long will it take to brute force the password if the available resources are quadrupled.?
a. 21 minutes
b. 63 minutes
c. 210 minutes
d. none of the above.
Answers
Answer:
b. 63 minutes
Step-by-step explanation:
Given;
number of times the hash function is applied = 12
time taken to brute force one application, = 21 minutes
Apply proportion, bearing in mind that 4 available resources should take less time;
1 available resource ------- 21 minutes
4 available resources ------ x
Thus, x = 21 minutes / 4
When applied 12 times, the time should be [tex]\frac{21 \ minutes}{4} \ \times \ 12 \ = 63 \ minutes \\\\[/tex]
Therefore, the correct option is B, 63 minutes
Help anyone need it asap
8th grade math
Answers
Step-by-step explanation:
Gor reflection across x-axis
(x,y)—>(x,-y)
A(-6,-3)—>A''(-6,3)
B(-1,-4)—>B"(-1,4)
C(-5,-1)—>C"(-5,1)
Create an equivalant expression by combinning like terms
7+8a+5h-3-7a-5h-3-7a-5h-b
Answers
f(x)=3x+3, then f^-1(x)=
Answers
Answer:
f^ - 1 (x) = x/3 + 1/3 is not the inverse function of f(x) = 3x + 1
Step-by-step explanation:
F(x) = 3x + 1
Inverse:
x = 3y + 1
3y = x - 1
y = x/3 - 1/3 or f^ - 1 (x) = x/3 - 1/3
so
f^ - 1 (x) = x/3 + 1/3 is not the inverse function of f(x) = 3x + 1
Evaluate the question
Answers
Answer:
we conclude that:
[tex]\frac{2^{-\frac{4}{3}}}{54^{-\frac{4}{3}}}=81[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{2^{-\frac{4}{3}}}{54^{-\frac{4}{3}}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}\:=\:x^{a-b}[/tex]
[tex]\frac{2^{-\frac{4}{3}}}{54^{-\frac{4}{3}}}=\left(\frac{2}{54}\right)^{-\frac{4}{3}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=\frac{1}{\left(\frac{2}{54}\right)^{\frac{4}{3}}}[/tex]
[tex]=\left(\frac{1}{27}\right)^{-\frac{4}{3}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]
[tex]=\frac{1}{\frac{1^{\frac{4}{3}}}{27^{\frac{4}{3}}}}[/tex]
[tex]=\frac{1}{\frac{1^{\frac{4}{3}}}{81}}[/tex] ∵ [tex]27^{\frac{4}{3}}=81[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{1}{\frac{b}{c}}=\frac{c}{b}[/tex]
[tex]=\frac{81}{1^{\frac{1}{3}}}[/tex]
[tex]\mathrm{Apply\:rule}\:1^a=1[/tex]
[tex]=\frac{81}{1}[/tex]
[tex]=81[/tex]
Therefore, we conclude that:
[tex]\frac{2^{-\frac{4}{3}}}{54^{-\frac{4}{3}}}=81[/tex]
4.) The graph below shows that the cost of bananas depends on the number of pounds
purchased.
What is the unit rate of the bananas?
A $5.00 per pound
B $1.25 per pound
C $1.00 per pound
D$0.80 per pound
Answers
Answer: B.$1.25
Step-by-step explanation: 10 divided by 1.25= 8 pounds
Select all radical expressions that are equivalent to 41 3/5
Answers
Answer:
x^ \frac{m}{n} = \sqrt[n]{x^m}x
n
m
=
n
x
m
and
(x^m)^n=x^{mn}(x
m
)
n
=x
mn
so
x^ \frac{3}{5} = \sqrt[5]{4^3}x
5
3
=
5
4
3
but wait, there's more
4=2², so
x^ \frac{3}{5} = \sqrt[5]{4^3} = \sqrt[5]{(2^2)^3} = \sqrt[5]{2^6}x
5
3
=
5
4
3
=
5
(2
2
)
3
=
5
2
6
=
2^ \frac{6}{5}=(2^ \frac{5}{5})(2^ \frac{1}{5})=2 \sqrt[5]{2}2
5
6
=(2
5
5
)(2
5
1
)=2
5
2
also, 4^3=64
Help Plz Special Right Triangles Help!!!!
Answers
Answer:
c
Step-by-step explanation:
in upper triangle:
Tan60=p/b
√3=a/6
∴a=6√3
again, sin60=p/h
√3 /2=6√3 /b
∴b=12
now, taking down triangle:
cos45=h/b
1/√2 =12/c
∴c=6√2
If A and B are events with P(A)=0.5, P(A OR B)=0.54, and P(A AND B)=0.16, find P(B).
Provide your answer below:
Answers
Answer:
P(B) = 0.20
Step-by-step explanation:
If A and B are events with P(A)=0.5, P(A OR B)=0.54, and P(A AND B)=0.16, find P(B).
Provide your answer below:
We are given two events A and B and the formula for the probability of two events is given as:
P ( A ∪ B) = P(A ) + P( B ) - P( A∩ B)
Where:
P(A)=0.5
P ( A ∪ B) = P(A OR B)=0.54
P( A∩ B) = P(A AND B)=0.16
P(B) = ??
Hence, we have:
0.54 = 0.5 + P(B) - 0.16
Making P(B) subject of the formula
P(B) = 0.54 - 0.5 + 0.16
P(B) = 0.20
A diver is 15 feet below sea level.
Enter an integer that represents this situation in the box.
ft
Answers
Answer:
-15
Step-by-step explanation:
30 POINTS AND BRAINLIEST TO CORRECT
A cellphone company charges a monthly rate of $55 for unlimited text and data and $0.50 per minute for phone calls. The bill for last month was $66. Write and solve an equation to find out how many minutes for phone calls were charged on this bill.
Answers
So 0=0.50x-55
Add 55 from both sides
55=0.50x
Divide 0.50 on both sides
55 /0.50 = 110
I could be wrong so yup
Solve- 55+0.50m = 66
-55 -55
0.50m = 11
0.50 0.50 cross out the 5´s
m=22
How is the series 4 + 9 + 14 t... + 194 represented in summation notation?
Answers
Answer:
Each number is 5 units in between and can be used by the following equation 4+5x.
Help me with these maths, thanks.
-Tornado
Answers
The required answer is -2.85.
Hope it helps!
Answer:
-2.85
Step-by-step explanation:
first take l. c. m
(-35-22)/20
and -57/20= -2.85
Richard and Stephen are marking exam papers. Each set takes Richard 73 minutes and
Stephen 2 hours. Express the times Richard and Stephen take as a ratio in its simplest form.
Answers
Answer:
73:120 change 2 hours into minutes which is 120
solve the equation by substitution y= 3x +4 y=3x-2
Answers
3x = 3x - 6
0 = -6, false
Answer: no solution
Insurance company executives surveyed 200 young adults about their first motor vehicle. The results are shown in the two-way table. A survey participant is randomly selected. Let S be the event that the participant's first motor vehicle had six cylinders and let T be the event that the participant's first motor vehicle was a truck. What is the value of P(S and T)? Motor Vehicle Car Truck SUV O 0.06 Four 118 6 18 O 0.12 Cylinders Six 16 12 20 O 0.24 Eight 2. 6 CO 2 O 0.30
ONLY ANSWER WITH SERIOUS ANSWERS I WILL DELETE AND REPORT 30 PTS
Answers
Answer:
.06
Step-by-step explanation:
edg
Answer:
.06
Step-by-step explanation:
test on edg e
A self-service car wash has 3 individual car wash stalls. Customers wait in a single line before choosing the next available stall. 33 customers enter the car wash per hour and it take 5 minutes for each customer to wash their car. Customer arrivals and service times follow an exponential distribution. What type of queuing model is this process?
Answers
Answer:
single-channel, multi -phase
Step-by-step explanation:
The concept known as '' Queuing'' is not only important in the mathematical aspect alone but it is also useful in economic matters as signifies the abundance of resources that is when we have queues it means the reason for it is that the available resources is not enough.
From the question above we have that there are 3 individual car wash stalls, it is also given that the customers wait in a single line before choosing the next available stall. This means that there is only a single-channel.
Then, we have that from the single line initially, the queues then moves to multi -phase that is to 3 individual car wash stalls.
describe a multiplication problem in which the product is between 0.005 and 1
Answers
Is this what you mean?
Hopefully it is
Doug invested $7,000 in an account paying 5.5% simple interest annually. If Doug leaves his money in the account for 6 years, how much interest will he accumulate
Answers
Answer:
Doug will have $9,651 after 6 years.
Step-by-step explanation:
it's hard to explain it step-by-step, but you can watch a video on it if you want to know how to do it.
A retailer marks his price 10% above cost, another retailer arranges his
price so that he will have a profit of 20% on his returns. If the
manufacture's price for an article is Rs. 50, what is the difference
between the retailers selling prices? What percent discount should the
retailer with higher price give, so that the profit would be equal?
Answers
Answer:
The answer is below
Step-by-step explanation:
The cost price (manufacturing price) of an article is Rs.50.
Retailer 1 marks his price 10% above cost, hence the selling price for retailer 1 is:
Selling price for retailer 1 = 10% of Rs.50 + Rs.50 = (0.1 * Rs.50) + Rs.50 = Rs.55
Retailer 2 sets a profit of 20% on his returns, hence the selling price for retailer 2 is:
Selling price for retailer 2 = 20% of Rs.50 + Rs.50 = (0.2 * Rs.50) + Rs.50 = Rs.60
The difference between the retailers selling prices = Rs.60 - Rs.50 = Rs.10
The retailer with the highest price sells for Rs.60 and the difference between the retailers selling prices is Rs.10. For the profit to be equal, the percentage discount is:
Discount = (Rs.10 / Rs.60) * 100% = 16.67%
At an amusement park, 14 out of 20 tickets sold were discount tickets. What percentage of the tickets were discount tickets?
Write your answer using a percent sign (%).
(IXL)
Answers
Answer:
70%
Step-by-step explanation:
Set up a proportion: [tex]\frac{14}{20} = \frac{x}{100}[/tex] Cross multiply, then divide: 14 × 100 = 1400, 1400 ÷ 20 = 7070/100 = 70%I hope this helps!
Select the correct answer.
What is the range of the function f(x) = 4x + 9, given the domain D = {-4, -2, 0, 2}?
A. R = {-7, -1, 9, 17}
B. R = {-17, -9, -1, 17}
C. R = {1, 7, 9, 17}
D. R = {-7, 1, 9, 17}
Answers
9514 1404 393
Answer:
D. R = {-7, 1, 9, 17}
Step-by-step explanation:
Substitute the given values for x to see what the y-values are.
f(x) = 4x +9
f({-4, -2, 0, 2}) = 4{-4, -2, 0, 2} +9 = {-16, -8, 0, 8} +9
= {-7, 1, 9, 17} . . . . . matches choice D
Answer:
D. R = {-7, 1, 9, 17}
Step-by-step explanation:
D. R = {-7, 1, 9, 17}
A rectangle or sandbox has a length of five 1/3 feet and the width of three 3/4 feet What is its perimeter
Answers
Answer: 18 1/6 feet
Step-by-step explanation: The formula for perimeter is just 2L+2W. Since the width is 5 1/3 or 16/3, and the length is 3 3/4 or 15/4, all you need to do is substitute the length and width in the equation. The answer should be 18 1/6 feet. I hope this helps!
Itś my Brotherś Algebra work, Law of Exponents. Please help! Thanks.
Answers
Answer:
(x^2)*y
Step-by-step explanation:
Answer:
x^2y
Step-by-step explanation:
2x4y4
2x−2y3(−x2)2
=
2x6y4
2x4y3
=
2x2y
2
=x^2y
Help please. Whoever does gets brainliest.
Answers
Answer:
D plz mark me brainliest
Step-by-step explanation:
which of the following parent functions has a graph that could be described using these key attributes? NEED HELP ASAP
Answers
Answer:
im not sure but but try D
Step-by-step explanation:
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