Therefore, a. The area of the base is 16 square inches. b. The area of the four faces is 36√3 square inches.
Let's find the surface area of the square pyramid with a square base of 4 inches and triangular faces with side lengths of 6 inches.
Step 1: Find the area of the base.
Since the base is a square with a side length of 4 inches, use the formula for the area of a square: A = side².
A = 4² = 16 square inches.
Step 2: Find the area of one triangular face.
Since all triangular faces are equilateral with side lengths of 6 inches, use the formula for the area of an equilateral triangle: A = (side² * √3) / 4.
A = (6² * √3) / 4 = 9√3 square inches.
Step 3: Find the total area of the four triangular faces.
Multiply the area of one triangular face by 4.
Total area = 9√3 * 4 = 36√3 square inches.
Step 4: Calculate the surface area of the pyramid.
Add the area of the base and the total area of the triangular faces.
Surface area = 16 + 36√3 square inches.
Therefore, a. The area of the base is 16 square inches. b. The area of the four faces is 36√3 square inches.
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if i simplified 6/33 what would my answer be
Answer:
Exact form 2/11
Decimal form 0.18
Can anyone plz help me plz:
find value of x round answer to nearest tenth
Answer:
14
Step-by-step explanation:
19^2 = y^2+ 17^2
y = 8.5
by figure
x = 31 - 2*y
x = 14
m∠ABD=87 ∘ m, angle, A, B, D, equals, 87, degrees \qquad m \angle ABC = 9x - 1^\circm∠ABC=9x−1 ∘ m, angle, A, B, C, equals, 9, x, minus, 1, degrees \qquad m \angle CBD = 6x + 58^\circm∠CBD=6x+58 ∘ m, angle, C, B, D, equals, 6, x, plus, 58, degrees Find m\angle ABCm∠ABCm, angle, A, B, C:
Answer:
m∠ABC=17∘
Step-by-step explanation:
What’s the answer to x
Answer:
x = 55
Step-by-step explanation:
a triangle's angles must equal when added up to 180.
so
76 + 49 + x = 180
combine terms
125 + x = 180
x = 55
I really need help with this
Answer:
7.2 feet
Step-by-step explanation:
Consider a gamble X such that X = | -$100 with probability 0.4 (a) Is this a fair gamble? Verify your answer (b) Suppose that Anh has an initial wealth of $100 and her utility function over money is u(w) = Vw. Will she join this gamble? Justify your answer. (c) Suppose that Chris has an initial wealth of $0 and his utility function over money is u (w) = e ico. Will he join this gamble? Justify your answer. (d) Suppose that Beth has an initial wealth of $10000 and her utility function over money is u(w) = vw. Will she join this gamble? Justify your answer and explain difference from part (b)
The difference from part (b) is that Beth has a much higher initial wealth, so the negative expected value of the gamble has a smaller impact on her overall utility.
This is not a fair gamble because the expected value of the gamble is negative. The expected value of a gamble is calculated by multiplying the probability of each outcome by the value of that outcome and summing the results. In this case, the expected value is 0.4(-$100) = -$40. Since the expected value is negative, the gamble is not fair.
Anh will not join this gamble because her expected utility from the gamble is lower than her utility from her initial wealth. Her expected utility from the gamble is
0.4u(-$100) = 0.4v(-$100) = -40v.
Her utility from her initial wealth is
u($100) = v($100) = 100v.
Since -40v < 100v, her expected utility from the gamble is lower than her utility from her initial wealth, so she will not join the gamble.
Chris will not join this gamble because his expected utility from the gamble is lower than his utility from his initial wealth. His expected utility from the gamble is
0.4u(-$100) = 0.4e^(-100c) = -40e^(-100c).
His utility from his initial wealth is
u($0) = e^(0c) = 1.
Since -40e^(-100c) < 1, his expected utility from the gamble is lower than his utility from his initial wealth, so he will not join the gamble.
Beth will not join this gamble because her expected utility from the gamble is lower than her utility from her initial wealth. Her expected utility from the gamble is
0.4u(-$100) = 0.4v(-$100) = -40v.
Her utility from her initial wealth is
u($10000) = v($10000) = 10000v.
Since -40v < 10000v, her expected utility from the gamble is lower than her utility from her initial wealth, so she will not join the gamble.
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what is 3 and 1/6 as an improper fraction
Answer:
Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer
how do you tell someone u like them???????????????????????
Answer:
Be kind, be yourself, and make friends with their friends so you can hang out with them and he/she/your crush will think you are nice and your crush's friends will talk good about you. and how you tell them is- "Hey, so I have to talk to you, can we go somewhere private? Um...I have a crush on you... it's okay if you don't feel the same way." And after that just see if they like you back!
Step-by-step explanation:
✓38 is approximately equal to
A. 20
B. 3.8
C. 6
D. 14
Answer:
C
Step-by-step explanation:
I hope this helps you out!
find the least common denominator for the fractions: 5/5, 1/10, 3/4
Answer:
20
Step-by-step explanation:
Let's list some multiples of each denominator
5: 5, 10, 15, 20, 25, 30
10: 10, 20, 30, 40, 50, 60
4: 4, 8, 12, 16, 20, 24, 28
The common denominator (LCD) is 20
So lets input
20 / 20, 2/20, 15/20
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
4. Which of the following types of functions is not considered a polynomial?
f. A cubic
g. A logarithmic
h. A quadratic
i. A linear
What is the midpoint of the segment joining (2, 6) and (10, 12)?
Answer:
the mid point is (6,9) i believe
Step-by-step explanation:
Midpoint
(xM,yM)=(xA+xB2,yA+yB2)=(2+102,6+122)=(122,182)
Midpoint of a line segment
(xM,yM) = (6, 9)
helpp!! Your friend says the sum of 1/5 and 9/10 is 10/15. is your friend correct?
Answer:
False.
Step-by-step explanation:
First, find a common denominator between 1/5 and 9/10. Both share a common denominator of 10. Note that what you do to the denominator, you must do to the numerator:
\(\frac{1}{5} * \frac{2}{2} = \frac{2}{10}\)
Add 2/10 with 9/10:
\(\frac{2}{10} + \frac{9}{10} = \frac{11}{10}\)
It is noteworthy that the sum of the two fractions is already greater than 1, and therefore cannot be equal to 10 parts of 15 whole. However, if you were to continue and finish the steps to find the same denominator, you will obtain:
\(\frac{11}{10} * \frac{3}{3} = \frac{33}{30}\\ \frac{10}{15} * \frac{2}{2} = \frac{20}{30} \\\\\frac{33}{30} \neq \frac{20}{30} \therefore \frac{11}{10} \neq \frac{10}{15}\)
Your friend is not correct.
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someone plz help meee
Answer:
33d
Step-by-step explanation:
33 is the total fish in each tank
d represent the number of tanks
To find the total fish we multiple 33 and d
33 x d = total fish
so 33d is the correct expression
how many buses do you need for 700 people if each bus holds 125 people
Student A and student B were given the following graph and asked to find the value of f(x) when x = 2. Student A gave an answer of 0 while student B gave an answer of −6. Who is incorrect? Drag and drop the correct option into each box to complete the explanation of the error.
Student A is incorrect. The student started at 0 on the y-axis, did not need to move horizontally on the graph, and so moved horizontally to 2 on the x-axis. The student should have started at 0 on the x-axis, moved horizontally to the graph, and then moved vertically to -6, which student B did.
How to obtain the numeric value from the graph?The value of x at which we want to find the numeric value of the function is given as follows:
x = 2.
Tracing a vertical line through x = 2, it will cross the graph of the function at y = -6, hence the numeric value is given as follows:
f(2) = -6.
Meaning that student B is correct.
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I need help pls help
Step-by-step explanation:
8×8=64 + another 5×5=25/ equals 89
if the yellow strip on a road is 4 inches wide a gallon of will make a 300-ft long strip if the strip is reduced down to 3-in wide how long a strip will the gallon paint
Answer: 400 feet, 4800 inches
Step-by-step explanation: i believe it is 400 feet because if you calculate the area of the first strip you would get 14400 in INCHES. you already know one dimension of the next strip, 3 inches so divide 14400 by 3 because we now know a gallon can paint 14400 inches. then u get 4800 inches, divided by twelve gives you the feet! so the answer is 400 i think
sorry if my answer was really confusing
Answer:
400 feet
Step-by-step explanation:
First we need to find out how much surface area a gallon of paint can cover.
We also need to make sure we're using the same units.
4 inches × 300 feet = a gallon of paint
1 foot = 12 inches
300 feet = (12 × 300) 3600 inches
4 inches × 3600 inches = 14,400 inches² = 1 gallon of paint
If the strip is reduced down to 3 inches, how long will the strip be?
We can now form an equation. 14,400 inches is the total, 3 inches is a known variable and the length of the strip is unknown.
Let the unknown be x
3 × x = 14,400
x = 14,400 inches² ÷ 3 inches
x = 4800 inches
We should now change this back to feet by dividing 4800 inches by 12
4800 ÷ 12 = 400 feet
Consider the given pseudo code. Write the function T(n) in terms of the number of operations, and then give the asymptotic (big Oh) complexity of the algorithm, show all the work you do. [ write the summation formula and solve it, or use the "Look for pattern"method. a. Matrix Multiplication
The function T(n) in terms of the number of operations is:
T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).
To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.
The pseudo code for matrix multiplication may look something like this:
```
MatrixMultiplication(A, B):
n = size of matrix A
C = empty matrix of size n x n
for i = 1 to n do:
for j = 1 to n do:
sum = 0
for k = 1 to n do:
sum = sum + A[i][k] * B[k][j]
C[i][j] = sum
return C
```
Let's break down the number of operations step by step:
1. Assigning the size of matrix A to variable n: 1 operation
2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)
3. Outer loop: for i = 1 to n
- Incrementing i: n operations
- Inner loop: for j = 1 to n
- Incrementing j: n^2 operations (since it is nested inside the outer loop)
- Initializing sum to 0: n^2 operations
- Innermost loop: for k = 1 to n
- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)
- Performing the multiplication and addition: n^3 operations
- Assigning the result to C[i][j]: n^2 operations
- Assigning the value of sum to C[i][j]: n^2 operations
Total operations:
1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1
Therefore, the function T(n) in terms of the number of operations is:
T(n) = 2n^3 + 3n^2 + 2n + 1
To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.
In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).
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A 2-column table with 5 rows. The first column has entries empty, time of trial number 1 (seconds), time of trial number 2 (seconds), time of trial number 3 (seconds), average time (seconds). The second column labeled one quarter checkpoint has entries 2.15, 2.05, 2.02, 2.07.
Use the table to answer the questions.
What is the fastest time trial for the first quarter checkpoint? ______________
seconds
What is the slowest time trial for the first quarter checkpoint? __________
seconds
What is the range of times measured for this checkpoint? ___________
seconds
Answer:
2.02
2.15
0.13
Step-by-step explanation:
Fastest time = smallest value = 2.02 secs
Slowest time = largest value = 2.15 secs
Range = largest value - smallest value = 2.15 - 2.02 = 0.13 secs
Answer:
2.02
2.15
0.13
Step-by-step explanation:
The guy/gal/person above me is correct
Help please
it's due today and if I don't finish I'm gonna die
Answer:
1. 0 = 0, 5 > 1
2. 7.24 < 7.42, 8.80 < 8.81, 0.11 = 0.11, 4.33 > 4.31
Step-by-step explanation:
If the number is positive, the one with the bigger decimals is always bigger
if you are drinking a soda that has 32 grams of sugar per serving, and there are 2.5 servings in the whole bottle. how many teaspoons of sugar does the bottle of soda contain?
The Coke bottle has 8 tablespoons of sugar in it.
What is the weight in grams?The correct formula to determine a substance's Gram Molecular Mass is Gram Formula Mass = mass of the solute/formula mass of the solute. It is always stated in terms of grams per mole (g/mol).The gravitational force acting on an object is referred to as its weight. Moreover, the formula is mass times gravity's acceleration, or w = mg. As weight is a force, the newton is the SI unit for weight. Weight is a measurement of an object's gravitational pull. An object's weight can vary depending on where it is, but its mass never changes.Weight, which is expressed in newtons, is a unit of measurement for the gravitational force acting on an object.Given,
32 whole grams / 4 grams per teaspoon
Therefore, 32/4
= < 8 teaspoons of added sugar/day.
Then we get,
1 teaspoon sugar = 1 sugar cube = 1 sugar packet.
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What is the solution to the system of equations graphed below? A (2, 5) B(-5, -3) C(0, 4) D(1, 1)
it's def c because that's where the intersection is, which is the solution (there is only one solution)
draw box and whisker for the given data: 35 , 60 ,20 ,80 , 95 ,15 ,40 ,85 ,75
The minimum value is 15, the maximum value is 95, and the median can be found by arranging the data in order and finding the middle value.
To draw a box and whisker plot for the given data: 35, 60, 20, 80, 95, 15, 40, 85, 75, we need to determine the five-number summary, which includes the minimum value, the first quartile, the median, the third quartile, and the maximum value.
The minimum value is 15, the maximum value is 95, and the median can be found by arranging the data in order and finding the middle value. In this case, the median is 60.
To find the first and third quartiles, we need to divide the data into two halves at the median, and then find the median of each half.
The lower half of the data is 15, 20, 35, and 40, with a median of 27.5. The upper half of the data is 75, 80, 85, and 95, with a median of 82.5. Therefore, the first quartile is 27.5 and the third quartile is 82.5.
To draw the box and whisker plot, we start by drawing a number line that includes the range of the data (from 15 to 95).
We then draw a box that spans from the first quartile to the third quartile, with a vertical line inside the box at the median. We draw a horizontal line (whisker) from each end of the box to the minimum and maximum values.
Therefore, the box and whisker plot for the given data is shown below:
lua
Copy code
10 20 30 40 50 60 70 80 90 100
| ------
| / \
| / \
| ----- |
| / \ |
| / \ |
| 15 95 |
The box represents the middle 50% of the data, with the vertical line inside it showing the median. The whiskers show the full range of the data, with any outliers shown as individual points beyond the whiskers. In this case, there are no outliers.
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In ΔUVW, u = 480 cm, v = 180 cm and ∠W=120°. Find the length of w, to the nearest centimeter.
Answer:
591
Step-by-step explanation:
The length of w from the given triangle UVW is 591 cm.
What is cosine rule?The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² - 2bc·cosA.
Given that, in ΔUVW, u = 480 cm, v = 180 cm and ∠W=120°.
w² = u² + v² - 2uv·cosW
w² = 480² + 180² − 2×480×180·cos120°
w² = 230400 + 32400 - 172800·(-0.5)
w² = 349200
w = √349200
w = 590.93
w = 591 cm
Therefore, the length of w is 591 cm.
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Bridget keeps $500 dollars in a safe at home. She also deposits $1000 in a savings account that earns 1.3% compound interest. Which function models the total amount of money Brigitte has over time, t?
5000 principal earning 4% compounded annually, 7 years
Answer:
Step-by-step explanation:
Basically, you want to know interest. I = prt is the formula. 'I' will be left blank b/c that's unknown. P is principal, 5000. R is rate, 4%, or 0.04 when turned into a decimal. T is time, 7 years. So now when using the formula, it will all become I = 5000(0.04)(7). What that means is you first multiply 5,000 by 0.04, getting 200. Then when you multiply 200 by 7, it's 1,400, which will leave you with I = 1,400. Interest is 1,400.
please help, ty if you do :D
Answer:
Your Answer is going to be C
How many gallons equal 8 quarts?
2 gallons
4 gallons
12 gallons
32 gallon
its 2 gallons
4 would be 16
12 would be 48
32 would be 128