The two square pyramids below are similar. If the surface area of the larger square pyramid is 2304 cm2 then what is the surface area of the smaller pyramid?.
Answers
The respective sides of the two square pyramids are proportionate since they are comparable. Let's use A cm2 to represent the smaller pyramid's surface area.
The square of the ratio of the corresponding side lengths of comparable pyramids is equal to the ratio of their surface areas. As a result, we may construct the equation shown below:
(s_small / s_large) = (A / 2304)²
where the sides of the smaller and larger pyramids, respectively, are represented by the lengths s_small and s_large, respectively.
We are unable to immediately solve for A since we lack the precise side length data. The ratio of the surface areas is still measurable, though:
(s_small / s_large) = (A / 2304)²
Using the information provided, we can determine that the surface area of.
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Related Questions
The circle above with center O has a circumference of 36. What is the length of minor arc AC? A) 9 B) 12 C) 18 D) 36
Answers
Answer:
A) 9
Step-by-step explanation:
⇒ Circumference of a Circle = 2πr
\(36=2\pi r\)
\(r=\frac{36}{2} \pi\)
\(r=\frac{18}{\pi }\)
Length of arc = rθ
θ = angle AC = \(90^o\)
Convert \(90^o\) to radian
= \(\frac{90\pi }{180}\)
= \(\frac{\pi }{2}\)
length of arc = 18/π x π/2
= 9
drag a series of transformations of trapezoid ABCD to the table that show trapezoid ABCD is congruent to trapezoid EFGH
Answers
Answer: Reflect Y-Axis & 10 Units Down
Step-by-step explanation:
The volume of a cylinder, V, in terms of radius, r,
and height, h, is given by V = πr 2
h. If a cylinder has
a height of 6 meters, express the radius as a function
of V and find the radius of a cylinder with volume of
300 cubic meters.
Answers
Answer:
See explanation
Step-by-step explanation:
Volume of a cylinder = πr²h
Solve for r
V = π * r² * h
r² = V/πh
Find the square root of both sides
r = √V/πh
If height = 6 meters and volume = 300 cubic meters. Find r
r = √V/πh
= √(300/3.14*6)
= √(300/18.84)
= √15.923566878980
r = 3.9904344223381
Approximately,
r = 4 meters
in which of the following numbers is the value of the 5 digit 10 times it value in the number 4,597
Answers
According to the question the value of the 5 digit in 4,597 is 9.
What is digit?Digit is a numerical symbol used to represent numbers in the decimal system. It is a single symbol used to represent a number ranging from 0 to 9. Digits are used to represent numbers in all forms of mathematical calculations and equations. The most common digits used in calculations are 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. Each digit has an associated numerical value, which can be used to create larger numbers or to perform complex mathematical operations.
The answer is D) 9. The value of the 5 digit in 4,597 is 5. To find the 10 times its value, you must multiply 5 by 10, which equals 50. Therefore, the value of the 5 digit in 4,597 is 9.
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The Yellow Cab Company charges just $1.25 per mile, but it costs $6.00 to get in the cab. Express Cab charges no fee to get in the cab, but $2.00 per mile for the ride. For what number of miles is the cost the same?
Answers
Answer: 8 miles
Step-by-step explanation:
1.25m+6=2m
--1.25m. -1.25m
6=.75
6/.75m=8 mile
s
Which graph is correct?
Answers
The graph of the inequality y ≥ (1/2)x - 1 and x - y > 1 is attached. Shannon's graph is correct.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. Equations can either be linear, quadratic, cubic and so on depending on the degree.
Inequalities are used for the non equal comparison of numbers and variables.
Given the inequalities:
y ≥ (1/2)x - 1 (1)
and
x - y > 1 (2)
The graph of the inequality is attached. Shannon's graph is correct.
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if two lines are parallel and one has a slope of -1/7, what is the slope of the other line?
Answers
-1/7, since parallel lines have equal slopes.
Question 27(Multiple Choice Worth 1 points)
(01.05 LC)
Which calculation can be used to find the value of p in the equation p³= 8?
Op=√8
Op=3•√8
Op=2•√8
Op=√8
Answers
Answer:
Option 1 ========> p = ∛8
Step-by-step explanation:
In order to make p the subject we would need to cube root both sides and would therefore get :
∛(p³) = ∛8
p = ∛8
Just a side not but you wrote the first option wrong but it's fine as you attached an image.
Hope this helped and have a good day
The calculation p=∛8 can be used to find the value of p in the equation p³= 8
What is Expression?An expression is combination of variables, numbers and operators.
The given equation is p³= 8
p to the power of three equal to eight
p is the variable in the given equation
We have to find the value of p from the equation
Take cube root on both the side
∛ p³= ∛8
On left hand side the cube will be cancelled and left with p
p=∛8
Hence, p=∛8 calculation can be used to find the value of p in the equation p³= 8
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The prediction equation y = 5.92x + 119.21 models the median selling price, in thousands of dollars, of new homes in a certain area since 1995. Predict the median selling price in 2015.(Do not separate the numbers
Answers
Answer:
$237.61Step-by-step explanation:
given that the function to predict the price is
y = 5.92x + 119.21
x= the number of year,
given that we are predicting from 1995-2015
the difference is 20years
So put x=20 in the expression we have
y = 5.92(20) + 119.21
y=118.4+119.21
y=237.61
the median price is $237.61
Two lines that form a right angle at their point of intersection.A. PointB. Perpendicular Lines.C. Line.D. Collinear points.
Answers
Option B "Perpendicular Lines" is correct.
"Perpendicular Lines" are two lines that intersect at a right angle, forming 90-degree angles between them. Thus, Option B holds the truth.
Perpendicular lines are a fundamental concept in geometry and they are defined as two lines that meet at a right angle; forming four 90-degree angles. This means that the slopes of the two lines are negative reciprocals of each other. Perpendicular lines are important in many areas of mathematics and physics because they allow us to calculate angles, distances and other geometric properties.
Perpendicular lines are useful in many practical applications such as: architecture, engineering and construction. By understanding the properties of perpendicular lines, one can better understand the geometry of our world and solve real-world problems.
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. your history teacher is giving a 10-question quiz friday. you estimate your probability of getting any particular question right is 95%. you need to answer at least 9 questions correctly to get an a on the quiz. find the probability that you get an a.
Answers
the probability of getting any particular question right is 95%. Therefore, the probability of getting an A on the quiz is 0.614.
The probability of getting any particular question right is 95%. Therefore, the probability of getting any particular question wrong is 1-0.95 = 0.05.
The probability of getting 9 questions right is 0.95^9.
The probability of getting at least 9 questions right is 1 - (probability of getting 0 questions right + probability of getting 1 question right + probability of getting 2 questions right + ... + probability of getting 8 questions right)
P(A) = 1 - (0.05^0 + 0.05^1 + 0.05^2 + 0.05^3 + 0.05^4 + 0.05^5 + 0.05^6 + 0.05^7 + 0.05^8 + 0.95^9)
P(A) = 0.614
therefore, the probability of getting an A on the quiz is 0.614.
The probability of getting an A on the quiz is 1 - (probability of getting 0 to 8 questions wrong). This is because the probability of getting any particular question right is 95%. Therefore, the probability of getting an A on the quiz is 0.614.
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Simplify the expression.
2 + (g + 5)
Answers
Answer is
7 +g
Step-by-step explanation:
2+5+g
=7+g
Answer:
g+7
Step-by-step explanation:
Have an amazing day!
What is the m∠AHE
m
∠
A
H
E
to the nearest whole number?
Answers
Answer:
Below
Step-by-step explanation:
As I posted ....looks to be 147°
1. A negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process. True or False
2. Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory. True or False
Answers
1. The given statement "A negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process" is True
2. The given statement "Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory" is True
1) Negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process.
Noise refers to any external or internal element that disrupts communication. Communication is the exchange of messages between two or more people, so noise in communication refers to anything that interferes with the exchange of messages.
2)Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory.
Herzberg's two-factor theory, also known as the motivation-hygiene theory, identifies the two types of factors that affect job satisfaction:
hygiene factors and motivating factors.
Employee motivation and pay satisfaction are examples of motivating factors that contribute to job satisfaction.
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jonah studied for 3 hours longer than sierra. he also studied for 3 times as many hours as william. these relationships are shown on the graphs below. which statement is true if jonah studied for 6 hours.
PLEASE HELP
Answers
Answer:
i dont know Sierra studied for 7 and William studied for 3
Step-by-step explanation:
According to a recent survey of 1,001 adult Canadians, of respondents do not want to be unionized 27 percent 54 percent 19 percent 35 percent (E) 77 percent
Answers
According to a recent survey of 1,001 adult Canadians, 27 percent of respondents indicated that they do not want to be unionized.
The survey of 1,001 adult Canadians asked respondents about their preference regarding unionization. Out of the total respondents, 27 percent expressed that they do not want to be unionized. This percentage represents the proportion of individuals who indicated a lack of interest or desire to be part of a labor union.
It is important to note that without additional information about the survey methodology, sample representation, and any potential biases, the result should be interpreted within the context of the survey's limitations. The percentage obtained from the survey reflects the preferences of the respondents in the sample but may not necessarily represent the opinions of the entire population of adult Canadians.
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find a recurrence relation for the number of bit sequences of length n with even number of 0s. how many bit sequences of length seven contain an even number of 0s?
Answers
There are 36 bit sequences of length seven that contain an even number of 0s.
To find the recurrence relation, let's consider the number of bit sequences of length n with an even number of 0s. We can break it down into two cases: those that end with a 0 and those that end with a 1.
If a bit sequence of length n ends with a 0, then the remaining n-1 bits must have an odd number of 0s. Therefore, the number of such sequences is equal to the number of bit sequences of length n-1 with an odd number of 0s.
If a bit sequence of length n ends with a 1, then the remaining n-1 bits must have an even number of 0s. Therefore, the number of such sequences is equal to the number of bit sequences of length n-1 with an even number of 0s.
Combining these two cases, we can establish the recurrence relation: f(n) = f(n-1) + f(n-2), where f(n) represents the number of bit sequences of length n with an even number of 0s.
Using this recurrence relation, we can find that there are 36 bit sequences of length seven that contain an even number of 0s.
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in the figure triangle XYZ is similar to triangle XTU if XT measures 12cm what is the length of TY
Answers
Answer:
20
Step-by-step explanation:
It is stated that the triangles in the figure are similar:
We can use the side lengths' proportions to find the length of TY
UT/ZY = XT/TY
(9.6)/16 = 12/TY cross multiply expressions:
192 = (9.6)TY divide both sides by 9.6
20 = TY
identify an equation in point slope form for the line perpendiculae to y=1/4x-7 that passes through (-2,-6)
Answers
a man finds 1 hundred dollars and he keeps one half of it, gives 1 fourth if it to someone and and gives another 1 fifth of it to some else and he puts the rest in savings. how much did he give everyone
Answers
Ulse the standard normal distribution or the f-distribution to construct a 95% confidence interval for the population meare Justify your decion, il newter distribution can bo used, explain why. Interpret the results In a randorn sample of 46 people, the mean body mass index (BMI) was 27.2 and the standard devation was 6.0f. Which distribution should be used to construct the confidence interval? Choose the correct answer below. A. Use a 1-distribuition because the sample is random, the population is normal, and σ is uricnown 8. Use a normal distribution because the sample is random, the population is normal, and o is known. C. Use a nomal distribution because the sample is random, n≥30, and α is known. D. Use a t-distribution because the sample is random, n≥30, and σ is unknown. E. Neither a normal distribution nor a t-distribution can be used because either the sample is not random, of n < 30 , and the population a nat known to be normal.
Answers
We can be 95% confident that the true population mean BMI is between 25.368 and 29.032.
A 95% confidence interval for the population mean can be constructed using the t-distribution when the sample size is small (<30) or the population standard deviation is unknown.
In this case, we have a random sample of 46 people with a mean body mass index (BMI) of 27.2 and a standard deviation of 6.0.
Thus, we need to use the t-distribution to construct the confidence interval.
The formula for the confidence interval is as follows:
Upper limit of the confidence interval:27.2 + (2.013) (6.0/√46) = 29.032Lower limit of the confidence interval:27.2 - (2.013) (6.0/√46) = 25.368
Therefore, the 95% confidence interval for the population mean BMI is (25.368, 29.032).
This means that we can be 95% confident that the true population mean BMI is between 25.368 and 29.032.
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there are 100 birds at the zoo and 5 of them blue how many birds are blue
Answers
Answer:
Step-by-step explanation:
It would be 5 because it says in the question "5 of them are blue"
Example 3: A rectangular garden has a length of (x + 4) feet and a width of (x+3) feet.
What is the perimeter of the garden?
Answers
9514 1404 393
Answer:
4x +14 . . . feet
Step-by-step explanation:
The perimeter is given by ...
P = 2(L+W)
P = 2((x +4) +(x +3)) = 2(2x +7)
P = 4x +14
The perimeter of the garden is 4x +14 feet.
Find m of MLJ
See photo below
Answers
Answer:
45°---------------------
The angle formed by a tangent and secant is half the difference of the intercepted arcs:
12x - 3 = (175 - 21x - 1)/224x - 6 = 174 - 21x24x + 21x = 174 + 645x = 180x = 4Find the measure of ∠MLJ by substituting 4 for x in the angle measure:
m∠MLJ = 12*4 - 3 = 48 - 3 = 45PLS HeLp ASAP I nEEd HELp
Answers
Answer:
the last bubble
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes
the original line: y = 5/2x + 5
The perpendicular line: y = -2/5x + b
To find b, we have to plug (-10, 5) into x and y for our perpendicular line
5 = -2/5(-10) + b
Simplify the right side
5 = 4 + b
Subtract 4 from both sides
1 = b
The final answer = y = -2/5x + 1
When interpreting F(7.31) = 4.78, p > 0.05. how many subjects were tested in this simple one-way ANOVA?
Answers
39 subjects were tested in this simple one-way ANOVA.
ANOVA:ANOVA or analysis of variance is a statistical test to find whether two different groups or categories are significantly different by testing their means and variance.There are two types of ANOVA tests - one-way and two-way tests.One-way ANOVA:A one-way ANOVA test has one independent variable (categorical/factor) and a dependent variable that is normally distributed and continuous.The F value in one-way ANOVA helps us to find if the variance between the means of two populations is significantly different or not.Two-way ANOVA:A two-way ANOVA test has more than one independent variable (categorical/factor) and a dependent variable that is normally distributed and continuous.Degrees of freedom (df):It refers to the number of independent values in statistical analysis.df = n - p, where n = sample size and p = the number of parameters.In the one-way ANOVA test, since there is only one parameter (one independent variable), df = n-1.We are given that:
F(7 , 31) = 4.78
Step 1: Find the total degrees of freedom.
The treatment df = 7
The error df = 31
\(df_{treatment} &\ +df_{error} &\ = df_{total}\)
Hence, the total df = 7+31 = 38.
Step 2: Find the number of subjects tested.
We know that in a one-way ANOVA test:
df = n-1
⇒ 38 = n-1
⇒ n = 39.
Hence, 39 subjects were tested in this simple one-way ANOVA.
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An art supply store typically sells 9 bottles of orange paint for every 2 bottles of purple paint. How
many bottles of purple paint does it sell when it sells 54 bottles of orange paint?
The store sells __ bottles of purple paint.
Answers
Answer:
The store sells 12 bottles of purple paint
Step-by-step explanation:
Answer:
i don't know sorry
Step-by-step explanation:
For numbers 5-7, use the properties of exponents to determine what numbers should
replace each variable written as an exponent below that will make the equations true.
57.5b=53
5.
X =
8².8-811
=
6.
b=
7.
n=
x12.x = x12
12
Answers
Using the properties of exponents:
5. The value of x is 9
6. The value of b is -4
7. The value of n is 0
Calculating exponentsFrom the question, we are to calculate the value of the exponent in each question
5.
8² · 8ˣ = 8¹¹
Applying the multiplication law of indices, this can be written as
8² ⁺ ˣ = 8¹¹
Equate the powers
2 + x = 11
Solve for x by subtracting 2 from both sides
2 - 2 + x = 11 - 2
x = 9
6.
5⁷ · 5ᵇ = 5³
Applying the multiplication law of indices, this can be written as
5⁷ ⁺ ᵇ = 5³
Equate the powers
7 + b = 3
Solve for b by subtracting 7 from both sides
7 - 7 + b = 3 - 7
b = -4
7.
x¹² · xⁿ = x¹²
Applying the multiplication law of indices, this can be written as
x¹² ⁺ ⁿ = x¹²
Equate the powers
12 + n = 12
Solve for n by subtracting 12 from both sides
12 - 12 + n = 12 - 12
n = 0
Hence, the value of n is 0
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A box is a cuboid with dimensions 26cm by 15cm by 20cm all measured to the nearest cm. Disc cases are cuboids which measure 1.6cm by 14.2cm by 19.3cm all measured to the nearest millimetre. If the disc cases are stacked as shown, show that ur may not be possible for 16 cases to fit in the box
Answers
Answer:
Step-by-step explanation:
We may not be able to fit 16 cases in the box because their combined volume will be greater than the box which will make it impossible.
The dimensions of the big box is given as:
Length= 26 cm
Breadth= 15 cm
Height= 20 cm
So its volume can be calculated by:
Volume= Length x Breadth x Height
Volume= 26 cm x 15 cm x 20 cm
Volume1= 7800 cm³
Now, the dimension of one disc case is given as:
Length= 1.6 cm
Breadth= 14.2 cm
Height= 19.3 cm
The volume of one disc case will be:
Volume= 1.6 cm x 14.2 cm x 19.3 cm
Volume= 438.496 cm³
So, volume of 16 disc cases= 16 X volume of one disc case
Volume2= 16 x 438.496 cm³
Volume2= 7015.936 cm³
Since Volume1 < Volume2
So, 16 disc cases cannot be fit into a box.
Suppose, instead, that Bruce used 6 full boxes of tiles plus an additional 2 tiles, and Felicia used 5 full boxes of tiles plus an additional 17 tiles.
If they each used the same number of tiles, how many tiles were in each box?
Type the correct answer in the box. Use numerals instead of words.