Find the surface area of a square pyramid with a side length of 5cm and slant height of 6cm.
Answers
Answer:
85 cm^2
Step-by-step explanation:
The surface area of a square pyramid is given by the formula:
Surface area = base area + 4 * (base edge length * slant height) / 2
In this case, the base area is 25 cm^2, because the side length of the base is 5 cm. The base edge length is also 5 cm, because it is a square pyramid. Plugging these values into the formula above, we get:
Surface area = 25 cm^2 + 4 * (5 cm * 6 cm) / 2
= 25 cm^2 + 60 cm^2
= 85 cm^2
So the surface area of the square pyramid is 85 cm^2.
Related Questions
Pls help ill give 15 brainliest and 5 starts question is down below
Answers
Answer:
Area of right angle triangle is axb/2
3x4/2 = 6 sq. Cm
Area of parallelogram = bxh
20x21.5 = 430 in2
Answer:
Area of the triangle: 6 cm
Area of the parallelogram: 430 in²
Step-by-step explanation:
Area of a triangle formula is base * height * 1/2, in this case 4 * 3 * 1/2, which equals 6.
Area of a parallelogram formula is base * height, in this case 21.5 * 20 which equals 430.
Given circle ee with diameter \overline{cd}
cd
and radius \overline{ea}
ea
. \overline{ab}
ab
is tangent to ee at aa. if ea=16ea=16 and db=18db=18, solve for abab. round your answer to the nearest tenth if necessary.
Answers
The length of the tangent AB is approximately 11 units.
What is a tangent?In geometry, a line is considered tangential if it only contacts a circle or ellipse once. The point of tangency is the location at which a line intersects a curve. To put it another way, it is referred to as the line that, at that specific point, denotes the slope of a curve.
The position where a tangent and a circle converge is referred to as the point of tangency. The radius of the circle is perpendicular to the tangent when it crosses it. Any curved shape may be thought of as a tangent.
According to the question, we can know AB is tangent to E at A.
AE is perpendicular to AB
∠EAB = 90°
AB = \(\sqrt{EB^{2}-EA^{2}}\)
= \(\sqrt{13^{2}-7^{2}}\)
= \(\sqrt{169-44}\)
= \(\sqrt{120}\)
≈ 11
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PLEASE HELP WILL MARK BRAINLIEST
Answers
Answer:
Sorry cant see anything ill go on your page to answer if i can.
. You deposit $200 each month into an account earning 3% interest compounded monthly for 30 years. How much total interest will you earn in 30 years?
Answers
The total interest you will earn in 30 years is approximately $241.61.
To calculate the total interest earned in 30 years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt) - P
Where:
A = the future value of the investment
P = the principal amount (initial deposit)
r = the annual interest rate (in decimal form)
n = the number of times the interest is compounded per year
t = the number of years
In this case, the principal amount is $200, the annual interest rate is 3% (or 0.03 as a decimal), the interest is compounded monthly (so n = 12), and the time period is 30 years (so t = 30).
Plugging in these values into the formula:
A = 200(1 + 0.03/12)^(12*30) - 200
Now we can simplify and calculate:
A = 200(1.0025)^(360) - 200
A = 200(2.208040033) - 200
A ≈ 441.6080066 - 200
A ≈ 241.6080066
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6. Use the facts and graph below to write the equation for g(x).
FACTS
This graph shows g(x).
It looks like the graph of the parent function f(x) = x2. However:
It has been reflected (flipped) over the x-axis.
It has been shifted down 4 units.
It has been shifted left 1 unit.
Graph g of x depicts downward opening parabola on a coordinate plane. Vertex is at (negative 1, negative 4) with left slope in quadrant 3, and the right slope in quadrant 4 passing through (0, negative 5) on Y-axis.
Step 1: Start with the equation f(x) = x2. Write the equation for the graph of g(x) that has been reflected, or flipped, over the x-axis. (2 points)
Step 2: Use the equation you wrote in Step 1. Write the equation for the graph of g(x) that has also been shifted down 4 units. (2 points)
Step 3: Use the equation you wrote in Step 2. Write the equation for the graph of g(x) that has also been shifted left 1 unit. (2 points)
Answers
Using translation concepts, the equation of F(x) is -3(x + 1)² - 4.
WE know that the translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The effect of the transformations on G(x) = x² is given :
Reflection over the x-axis:
F(x) = -G(x) = -x².
Vertical stretch by a factor of 3 then we get;
F(x) = -3G(x) = -3x².
Then Shift down of 4 units:
F(x) = -3G(x) - 4 = -3x² - 4.
Shift left of 1 units:
F(x) = -3G(x + 1) - 4 = -3(x + 1)² - 4.
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it took elijah 2.4 hours to run 13.8 miles. how many miles did he run each hour if he maintained a constant speed?
Answers
Step-by-step explanation:
Elijah runs at constant speed
2.4 hours -----------> 13.8 miles
1 hour ---------------> 13.8/2.4
1 hour ---------------> 5.75 miles
Elijah run 5.75 miles in each hour at constant speed
9.20. set s = 2z = {2x : x ∈ z}, the set of even integers. prove that s is equicardinal with z.
Answers
To prove that the set S = 2Z = {2x : x ∈ Z}, the set of even integers, is equicardinal with Z, the set of all integers, we need to show that there exists a one-to-one correspondence (bijection) between the two sets.
A one-to-one correspondence between two sets exists if every element of one set is paired with a unique element from the other set, and vice versa.
Let's define a function f: Z -> S such that f(x) = 2x for every x ∈ Z.
This function assigns each integer x from Z to its corresponding even integer 2x in S.
To prove that f is a bijection, we need to show that it is both injective (one-to-one) and surjective (onto).
Injectivity: Suppose f(a) = f(b) for some a, b ∈ Z. Then, 2a = 2b. Dividing both sides by 2, we get a = b. Hence, f is injective.
Surjectivity: For every y ∈ S, y = 2x for some x ∈ Z. Choosing x = y/2, we have f(x) = 2x = y. Therefore, f is surjective.
Since f is both injective and surjective, it is a bijection. Thus, S and Z are equicardinal sets.
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Find fractional notation for the ratio of 447 to 166.
Answers
we have the ratio
447 to 166.
so
447:166
Simplify
Its a irreducible fraction
so
answer is
447/166+56-(3+4-1)= ?????????
Answers
Hey there!
56 - (3 + 4 - 1)
= 56 - (7 - 1)
= 56 - 6
= 50
Therefore, your answer is: 50
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
what is 16 times 4? help
Answers
Answer:
64
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
multiplication lol
One morning at a zoo, there were 165 adults and children who paid to enter. The zoo collected $1,440 from admission fees. The price of admission is $10 for an adult and $7 for a child. How many children were admitted to the zoo?
Answers
Answer:
number of children admitted to the zoo=70
let adult =a
let children=c
a+c=165........equation 1
10a+7c=1440.......equation 2
a=165-c........equation 3
substitute equation 3 in equation 2
10a+7c=1440
10(165-c)+7c=1440
1650-10c+7c=1440
-10c+7c=-210
-3c=-210
c=70
Therefore children =70
HELP ASAP 10 POINTS AND BRAINLIST 5 STAR AND THANKS BUT IF CORRECT
Answers
Answer:
14/3
Step-by-step explanation:
3 1/3 x 1 2/5 = 10/3 x 7/5
10/3 x 7/5 = 70/15, which simplifies to 14/3.
Triangle BAC was rotated 90° clockwise and dilated at a scale factor of 2 from the origin to create triangle XYZ. Based on these transformations, which statement is true?
<Z=<A
<B=<Y
<A=<X
<C=<Z
Answers
We know that a 90-degree clockwise rotation is the same as a 270-degree counterclockwise rotation, which means that the coordinates of each point in the original triangle BAC will be flipped across the x-axis, and then rotate 270 degrees.
We also know that a dilation at a scale factor of 2 means that the coordinates of each point are multiplied by 2.
Based on these transformations, the statement that is true is <C=<Z
In triangle BAC, point C has the same coordinates as point Z in triangle XYZ.
This because, the original point C is transformed by rotating 90 degrees counterclockwise and scaling by a factor of 2, This result in point C moving to the position of point Z.
The rest of the statements are not true based on this rotation and dilation because the coordinates of points A, B, and Y will be different from the original triangle BAC.
Solve for the value of x.
Answers
Answer:
x= 12
Step-by-step explanation:
The sum of both of the equasions equal up to 180. so you set up the problem like this:
(9x-4)+(6x+4)=180
15x=180
x=12
To check;
(9(12)-4)+(6(12)+4)=180
104+76=180
Part A
View the graph of f(x) =- 2x2 - 4x + 3 in Desmos. Can the graph of f(x) be
the equation that matches this graph above? Explain your reasoning using
complete sentences.
What the answer ?
Answers
If you add Jason's age and Shelley's age you get 57. Jason is 7 years older than Shelly. Write a system of equations that can be used to find Jason's age, j, and Shelly's age, s.
Answers
Answer:
this is hard i dont understand
Step-by-step explanation:
Reasoning true or false: if an augmented square matrix in row-echelon form has a row of zeros as its last row, then the corresponding system of equations has no solution. explain your reasoning.
Answers
False, if an augmented square matrix in row-echelon form has a row of zeros as its last row, then the corresponding system of equations has no solution.
A square matrix with a row of zeroes means that one variable can be written as a linear combination of the other variables.What does the term "echelon form" mean?
If a matrix in linear algebra has the shape that comes from a Gaussian elimination, it is said to be in echelon form. When a matrix is in row echelon form, Gaussian elimination has been applied to the rows, and when it is in column echelon form, Gaussian elimination has been applied to the columns.What purpose does echelon matrix serve?
By reducing a complex matrix to a simple matrix, the Echelon Form of a matrix can be utilized to solve a linear equation. If a matrix meets certain criteria, which we'll go over in this post, it is said to be in an echelon form.Learn more about echelon form
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3÷2.58=
what's the answer i'm fr wut is the answer
Answers
Answer:
1.1627907
Step-by-step explanation:
Answer:
1.162
Step-by-step explanation:
use lond divison but it goes on forever
When the equation of the line is in the form y=mx+b, what is the value of **m**?
Answers
0.3
Step-by-step explanation:Linear regression can help find the line of best fit.
Slope-Intercept Form
We know we need to use linear regression because the question states that the equation will be in the form of y = mx + b. This is a linear equation in slope-intercept form. In this form, m is the slope and b is the y-intercept. So, once we have the line of best fit, we can find the slope, aka the m-value.
Line of Best Fit
Through linear regression, we can find the line of best fit for the data. The question says to use technology in order to find the line of best fit. The line of best fit is the line that shows the correlation between data points. After plugging these points into a calculator, we can find that the line of best fit is y = 0.3x + 3.3. This means that the m-value is 0.3.
Help please it would mean a lot! Thank youuu
Answers
Answer:
C
Step-by-step explanation:
By my math that should is definitely correct. your welcome
Function graphing
Sketch a graph of the function f(x) = - 5 sin 6 5 4 3 2 -&t -7n -65-4n -3n-2n - j -2 -3 -4 -5 -6 + - (a) 27 3 4 5 \ / 67 8
Answers
To sketch the graph of the function `f(x) = - 5 sin 6 5 4 3 2 -&t -7n -65-4n -3n-2n - j -2 -3 -4 -5 -6 + - (a) 27 3 4 5 \ / 67 8`, we first need to identify its key features, which are:Amplitude = 5
Period = 2π/6
= π/3
Phase Shift = 2
The graph of the function `f(x) = - 5 sin 6x + 2` can be obtained by starting with the standard sine graph and making the following transformations:Reflecting it about the x-axis by multiplying the entire function by -1.
Multiplying the entire function by 5 to increase the amplitude.
Shifting the graph to the right by 2 units.For the specific domain provided in the question, we have:27 < 6x + 2 < 67 or 25/6 < x < 65/6.
This gives us a range of approximately 4.17 ≤ x ≤ 10.83.
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Divide 4x^4+27x^3+21x^2+22x+24 by x+6 using long division.
Answers
\(\frac{4x^{4}+27x^{3}+21x^{2}+22x+24}{x+6}\)
\(\frac{(x+1)(x+6)(4x^{2}−x+4)}{x+6}\)
\(4x^{3}+3x^{2}+3x+4\)
Round 11.036568047 to 4 decimal places.
Answers
Answer:
11.0366
Step-by-step explanation:
Look at the 5th digit after the decimal place. If it is a 4 or lower, round down. If it is a 5 or higher, round up:
11.03656 - 6 is higher than 5 so the number is rounded up to 11.0366
Hope this helps!
The number is rounded up to 11.0366.
How to identify the place value of a digit in a number?The place values on left of decimal point start as ones, tens, hundreds, and so on...
The place value on right of decimal point starts from point and goes to right as tenths, hundreths and so on..
Thus, The tens means multiply by 10
Thus, The tenth means tenth part of that digit which is that digit divided by 10
If we Look at the 5th digit after the decimal place. it is a 4 or lower, round down. If it is a 5 or higher, round up:
11.03656 -
6 is higher than 5 so, the number is rounded up to 11.0366.
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1. A department store kept records of how many fans were sold each day and the high temperature for that day. The results are shown in the scatterplot. Answer the questions about the scatterplot.
a. What is the explanatory variable (independent variable)? (1 point)
b. What is the response variable (dependent variable)? (1 point)
c. Circle the best range for the correlation coefficient. (1 point)
(–1 to –0.7) (–0.7 to –0.3) (–0.3 to 0) (0 to 0.3) (0.3 to 0.7) (0.7 to 1.0)
d. Based on this scatterplot, does a rise in temperature cause more fans to be sold? Why or why not? (3 points)
Answers
Answer:
a. What is the explanatory variable (independent variable)? (1 point)
Number of fans sold.
b. What is the response variable (dependent variable)? (1 point)
Outside temperature.
c. Circle the best range for the correlation coefficient. (1 point)
(–1 to –0.7) (–0.7 to –0.3) (–0.3 to 0) (0 to 0.3) (0.3 to 0.7) (0.7 to 1.0)
d. Based on this scatterplot, does a rise in temperature cause more fans to be sold? Why or why not? (3 points)
Yes because a rise in temperature causes fan sales to go up because people buy fans when it’s hot to cool off.
Step-by-step explanation:
I got it right on AP3X. Hope this helps!
A sector of a circle has a diameter of 16 feet and an angle of 4 radians. Find the area of the sector. 5 Round your answer to four decimal places. A = Number ft²
Answers
The area of the sector is 128 square feet.
To find the area of a sector, we can use the formula:
A = (θ/2) * r²
Given:
Diameter = 16 feet
Radius (r) = Diameter/2 = 16/2 = 8 feet
Angle (θ) = 4 radians
Substituting the values into the formula:
A = (4/2) * (8)^2
= 2 * 64
= 128 square feet
Therefore, the area of the sector is 128 square feet.
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If a train travels 420 miles in 24 hours , what is it’s unit rate in travel ?
Answers
Answer:
17.5 miles per every hour
Step-by-step explanation:
All you do is divide 420 by 24 to find the unit
Unit rate = total miles/ total time.
Unit rate = 420/24 = 17.5 miles per hour
The data in this table shows the hours of watching television per weekend and the mathematics marks for ten students. 1 6 3 2 10 8 0 4 5 2 11 Hours Watching TV per Weekend Mark (%) 80 55 70 75 35 45 85 75 50 70 40 a)
State the independent and dependent variables..
Independent -
Dependent -
Answers
Answer:
Independent - hours of watching television per weekend
dependent - mathematics marks
Step-by-step explanation:
The independent variable is the variable that the person carrying out an experiment changes or manipulates. the independent variable usually have a direct effect on the dependent variable
The dependent variable is the variable that is being measured in an experiment. It is usually affected by the independent variable.
The number of hours students spend watching tv would affect their performance on the test because it would determine the number of hours the students spend studying.
thus, the hours spent watching tv is the independent variable while the dependent variable is the score of the students
a packing lot has a rectangular area of 40,000yd2. the length is 200 yd more than twice the width. find the dimensions of the lot.
Answers
the dimensions of the lot is 100 yards by 400 yards. In this problem, a parking lot has a rectangular area of 40,000 square yards, and the length is 200 yards more than twice the width.
Determining the dimensions of a rectangular area, such as a parking lot, can be a useful task for many purposes, such as planning and designing a new lot or estimating the amount of space available for parking.
Let's call the width of the parking lot "w". Then, the length of the parking lot can be represented as 2w + 200.
The total area of the parking lot is 40,000 square yards, so we can set up an equation to solve for w: w * (2w + 200) = 40,000.
Solving for w, we get w = 100. This means that the width of the parking lot is 100 yards and the length is 2 * 100 + 200 = 400 yards.
The dimensions of the parking lot are 100 yards by 400 yards.
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What's 5x-7x+6=-2(x-3)
Answers
Answer:5x - 7x + 6 = -2(x - 3)
-2x + 6 = -2x + 6
0x = 0
Step-by-step explanation:
Answer:
There are infinite solutions because -2x+6=-2x+6
Step-by-step explanation:
I hope that this helps u..
An Amazon package
is a cube with a volume of 1,331 cubic inches. What is the length of each edge of the package?
Answers
Answer:
The volume of a cube is equivalent to the length of its edge cubed, thus the length of the edge of the box is 3√1331 = 11 inches.
Step-by-step explanation:
sorry if its wrong :) hopes it helps
Answer:
The answer is
11 inchesStep-by-step explanation:
Since the figure is a cube all it's sides are equal
Volume of a cube = l³
where
l is the length of one side
From the question
volume = 1331 in³
The length of one side is
\(1331 = {l}^{3} \\ \sqrt[3]{ {l}^{3} } = \sqrt[3]{1331} \\ \)
We have the final answer as
11 inchesHope this helps you