what is the total surface area of a pyramid with a square base with sides of 8cm, where the faced have a height of 10 cm
Answers
We can use the following general rule for the surface area of a square pyramid:
\(A=2bs+b^2\)in this case, we have the following:
\(\begin{gathered} b=8 \\ s=10 \end{gathered}\)then, using the formula, we get:
\(\begin{gathered} A=2(8)(10)+(8)^2=160+64=224 \\ \Rightarrow A=224\operatorname{cm}^2 \end{gathered}\)therefore, the surface area is 224 cm^2
Related Questions
fill in the blank (no word bank)
Answers
Answer:
Angle, Lengths
Step-by-step explanation:
Angle measurements and segment lengths are preserved as the transformations neither change the scale factor nor change the angle measurements
The function f(t) = 180(1.01) 6 represents the change in a quantity over i years.
What does the constant 1.01 reveal about the rate of change of the quantity?
Answers
Step-by-step explanation:
3 divide 180 230 7 c=mc square that eaquls 2
Convert 30 m/s to miles per hour.
Use 1 mile per hour = 1.61 km/h
Answers
Answer:
1 = 1.61
30 = x
1.61 x 30 =
48.3
Answer:
67.08 m/h
Step-by-step explanation:
need to convert 30 m/s to km/h = 108 km/h
1 = 1,61
x=108
x=108/1.61
30 m/s = 67.08 m/h
PLEASE HELP
State the coefficient of the variable and the exponent on the variable for this expression: x/5 (this is supposed to be vertical but I don't know how to do that)
Answers
For the given relation, the coefficient is (1/5) and the exponent is 1.
Which are the coefficient and the exponent of the variable?For a relation of the form:
\(y = a*x^n\)
a is the coefficient and n is the exponent.
In this case, we have:
\(y = \frac{x}{5}\)
This can be rewritten to:
\(y = \frac{1}{5}*x^1\)
So we can see that the coefficient is (1/5), and the exponent is 1.
If you want to learn more about exponents:
https://brainly.com/question/11975096
#SPJ1
A rectangle measures 16/5 inches by 10/4 inches. What is its area?
Answers
Answer:
8
Step-by-step explanation:
16/5 equals 3.2
10/4 equals 2.5
Multiply them together and you get 8
Could you plz give me a crown I'm really close to leveling up!
The area of the rectangle that measures 16/5 inches by 10/4 inches is 8 inches².
What is the area of the rectangle?A rectangle is a 2-dimensional quadrilateral with four right angles. A rectangle has two diagonals of equal length which bisect each other.
Area of a rectangle = length x width
16/5 x 10/4 = 160 / 20 = 8 inches²
To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449
Find the measure of the angle to the nearest degree. 20 POINTS
a) sin A = 0.6018
b) cos B = 0.9205
c) tan C = 0.0349
Answers
The measures of the angles to the nearest degree are:
a) A ≈ 36 degrees
b) B ≈ 23 degrees
c) C ≈ 2 degrees
To find the measure of the angle to the nearest degree given trigonometric ratios, we can use inverse trigonometric functions.
Here are the steps to determine the angles:
a) sin A = 0.6018
Taking the inverse sine (arcsin) of both sides:
A = arcsin(0.6018)
Using a calculator, we find A ≈ 36 degrees (rounded to the nearest degree).
b) cos B = 0.9205
Taking the inverse cosine (arccos) of both sides:
B = arccos(0.9205)
Using a calculator, we find B ≈ 23 degrees (rounded to the nearest degree).
c) tan C = 0.0349
Taking the inverse tangent (arctan) of both sides:
C = arctan(0.0349)
Using a calculator, we find C ≈ 2 degrees (rounded to the nearest degree).
Therefore, the measures of the angles to the nearest degree are:
a) A ≈ 36 degrees
b) B ≈ 23 degrees
c) C ≈ 2 degrees.
Note: Trigonometric functions have periodicity, meaning there may be multiple angles with the same trigonometric ratio.
To determine the principal angle within a specific range, we use the inverse trigonometric functions.
For similar question on angles.
https://brainly.com/question/25770607
#SPJ8
Determine the length of a chord whose central angle is 90° in a circle with a radius of 15 inches.
Answer Options:
15 inches
10.61 inches
21.21 inches
45 inches
Answers
The length of the chord is 21.21 inches
How to determine the chord length?The given parameters are:
Central angle, x = 90Radius, r = 15 inchesThe chord length (L) is calculated using:
L = 2 * r * sin(x/2)
Substitute known values
L = 2 * 15 * sin(90/2)
Evaluate the expression
L = 21.21 inches
Hence, the length of the chord is 21.21 inches
Read more about chord lengths at:
https://brainly.com/question/13950364
#SPJ1
The length of the chord is 21.21 inches.
What is Chord?A chord is the line segment joining two points on a curve. The term is often used to describe a line segment whose ends lie on a circle.
The given parameters are:
Central angle, x = 90
Radius, r = 15 inches
The chord length (L) is calculated by:
L = 2 X r X sin(x/2)
Substitute known values
L = 2 X 15 X sin(90/2)
L = 30 X sin 45⁰
L = 30 / √2
L = 21.21 inches
Thus, the length of the chord is 21.21 inches
Learn more about chord lengths at:
brainly.com/question/13950364
#SPJ1
1. Sally decided to go early Christmas shopping at a local Wal-Mart. There was
a Black Friday sale and she bought a TV that was originally $200. The TV
was marked down 25%. How much did Sally pay after it was marked down?
(1 point)
Answers
Answer:
150$
Step-by-step explanation:
In order to find the answer to this question you must find twenty-five percent of two-hundred.
50% of 100 = 50
100% of 100 = 100
100% of 200 = 200
50% of 200 = 100
25% of 200 = 150
= 150$
Hope this helps.
Question 3 -
3. Khalil says that any time two different numbers are the same distance from 0, their sum will be zero.
Do you agree with Khalil? Explain your reasoning.
Answers
Hope this is helpful
My math teacher has the answer as -1/4. I got 1/4 and cannot figure out the negative part.
Answers
To find the limit we need to rationalize the function, we achieve this by multiplying by a one written in an appropiate way:
\(\begin{gathered} \lim_{h\to0}\frac{2-\sqrt{4+h}}{h}=\lim_{h\to0}\frac{2-\sqrt{4+h}}{h}\cdot\frac{2+\sqrt{4+h}}{2+\sqrt{4+h}} \\ =\lim_{h\to0}\frac{(4-(\sqrt{4+h})^2)}{h(2+\sqrt{4+h})} \\ =\lim_{h\to0}\frac{4-(4+h)}{h(2+\sqrt{4+h})} \\ =\lim_{h\to0}\frac{4-4-h}{h(2+\sqrt{4+h})} \\ =\lim_{h\to0}\frac{-h}{h(2+\sqrt{4+h})} \\ =\lim_{h\to0}\frac{-1}{2+\sqrt{4+h}} \\ =-\frac{1}{2+\sqrt{4+0}} \\ =-\frac{1}{2+\sqrt{4}} \\ =-\frac{1}{2+2} \\ =-\frac{1}{4} \end{gathered}\)Therefore:
\(\lim_{h\to0}\frac{2-\sqrt{4+h}}{h}=-\frac{1}{4}\)if the population there increased by 15,183 people every week how many more people would be in Mexico city everyday?
Answers
Answer:
The answer is 2169
Step-by-step explanation:
You would do 15,183 x 7 because there are seven days in a week.
Do anyone knows it? X x 5 x y
Answers
Answer:
it is 5xy........................
Answer:
so X x 5 x y
that would equal 5xy
hope this helped
Step-by-step explanation:
Can someone help me
Answers
The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.
How to find the scale factor ?To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.
The side length we will pick is AB which is:
= 6 - 2
= 4 units
The side length of the other triangle is A' B' :
= 3 - 1
= 2 units
The scale factor is:
= 2 / 4
= 1 / 2
Find out more on scale factors at https://brainly.com/question/2826496
#SPJ1
13) Timmy went to the shooting range and went through 225 rounds. He put 100 rounds within 4 inches
of the bullseye and 43 rounds in the bullseye. What is his accuracy with in 4 inches and what is his
accuracy within the bullseye?
Answers
Answer
25/1 and 43/125
Step-by-step explanation:
You have found a store that is unique. All the shirts sell for a set price and all the pants are also priced the same in the entire store! You have purchased 3 shirts and 2 pants for $104.81 and your friend has purchased 2 shirts and one pant for $61.33. Set up and solve a system of linear equations. How much is one shirt?
Answers
Answer:
Step-by-step explanation:
Let x be 1 shirt price
Let y be 1 pant price
we have the following equation
3x+2y = 104.81$ (1)
2x+y = 61.33$ => multiply two sides by 2 => 4x + 2y = 122.66 (2)
=> (2) - (1) => x = 17.85$
So one shirt is 17.85$
The annual rate, r, it takes for 1 dollar to grow to X dollars in 2 years is given by the formula X = (1+r) ².
Find the rate necessary for a dollar to triple in 2 years.
Answers
The rate of interest is 73%.
What is the annual rate?
The term annual percentage rate of charge refers to the interest rate for an entire year rather than just a monthly fee or rate as applied on a loan, mortgage loan, credit card, etc. It can also be referred to as a nominal APR or an effective APR. It is an annual rate of a finance charge.
Given that 1 dollar to grow to X dollars in 2 years is given by the formula X = (1+r) ².
A dollar to triple in 2 years.
Thus putting X = 3 in X = (1+r) ²
3 = (1+r) ²
Take square root on both sides:
√3 = 1 + r
Subtract 1 from both sides:
r = √3 - 1
r = 0.73
r = 73%
To learn more about compound interest, click on the below link:
https://brainly.com/question/1388414
#SPJ1
What is the difference?
-3 2/3 - (-2 1/4)
Answers
let's firstly convert the mixed fractions to improper fractions.
\(\stackrel{mixed}{3\frac{2}{3}}\implies \cfrac{3\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{11}{3}}~\hfill \stackrel{mixed}{2\frac{1}{4}} \implies \cfrac{2\cdot 4+1}{4} \implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{11}{3}-\left( \cfrac{9}{4} \right)\implies -\cfrac{11}{3}+\cfrac{9}{4}\implies \cfrac{-(4)11~~ + ~~(3)9}{\underset{\textit{using this LCD}}{12}} \\\\\\ \cfrac{-44+27}{12}\implies \cfrac{-17}{12}\implies {\Large \begin{array}{llll} -1\frac{5}{12} \end{array}}\)
A manufacturing firm just received a shipment of 48 assembly parts, of slightly varied sizes, from a vendor. The manager knows that there are only 40 parts in the shipment that would be suitable. He examines these parts one at a time.
a. Find the probability that the first part is suitable. (Round your answer to 2 decimal places.)
Probability b. If the first part is suitable, find the probability that the second part is also suitable. (Round your answer to 4 decimal places.)
Probability c. If the first part is suitable, find the probability that the second part is not suitable. (Round your answer to 4 decimal places.)
Probability
Answers
a. The probability that the first part is suitable is 40/48 or 5/6, which is approximately 0.83. b. The probability that the second part is also suitable is 39/47, which is approximately 0.83. c. The probability that the second part is not suitable is 8/47, which is approximately 0.17.
In this problem, the manufacturing firm received a shipment of 48 assembly parts, of which only 40 are suitable. The manager examines these parts one at a time. The probability that the first part is suitable is simply the ratio of suitable parts to the total number of parts in the shipment, which is 40/48.
If the first part is suitable, then there are 39 suitable parts left in the shipment, out of a total of 47 parts. The probability that the second part is also suitable, given that the first part is suitable, is 39/47.
On the other hand, if the first part is suitable, then there are 8 unsuitable parts left in the shipment, out of a total of 47 parts. The probability that the second part is not suitable, given that the first part is suitable, is 8/47.
Learn more about probability here: brainly.com/question/30034780
#SPJ4
Help asap
in each of the following replace the * with the smallest digit to make it divisble by 11
7,01,69,30*
Answers
The smallest number that will make it divisible by 11 is n = 2 and the number is A = 7,01,69,302
Given data ,
Let the missing number be represented as n
Now , the value of the original number is A = 7,01,69,30*
where * represents = n
To make a number divisible by 11, the difference between the sum of the digits in the odd-numbered positions and the sum of the digits in the even-numbered positions must be a multiple of 11.
On simplifying the equation , we get
To make the difference between the sums a multiple of 11, we need to add the smallest digit to the end. The smallest digit is 8
Hence , the number that is divisible by 11 is 7,01,69,302
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
write an equation for the line through the point (-7,-4) and parallel to the line y=8x-4 in point-slope form
Answers
The equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52
How to determine the equation of the second line?The first equation is given as
y = 8x - 4
The slope of the above equation is
m = 8
Parallel lines have equal slope
So, the slope of the other line is
m = 8
The equation is then calculated as
y = m(x - x1) + y1
Where
m = 8
(x1, y1) = (-7, -4)
So, we have
y = 8(x + 7) - 4
Expand
y = 8x + 56 - 4
Evaluate the difference
y = 8x + 52
Hence, the equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52
Read more about linear equation at:
brainly.com/question/14323743
#SPJ1
Why do we choose 5% as a risk of making error and not 1%
Answers
In statistics, the risk of making an error is referred to as a significance level. A significance level represents the probability of making a Type I error, which occurs when a null hypothesis is rejected even though it is true.
The most common significance level used in statistical analyses is 0.05 or 5%. This means that there is a 5% chance of rejecting a true null hypothesis.
In general, the choice of significance level depends on the specific application and context of the statistical analysis.
The 5% significance level is commonly used in scientific research, particularly in the fields of medicine and psychology.
The choice of this level is based on a balance between the risk of making a Type I error and the risk of making a Type II error, which occurs when a null hypothesis is not rejected even though it is false.
A Type II error is often more serious than a Type I error since it may lead to incorrect conclusions about the relationship between variables or the effectiveness of a treatment or intervention.
A 5% significance level provides a reasonable balance between these two types of errors. However, in some situations, a higher or lower significance level may be more appropriate.
For example, in a clinical trial where the consequences of a Type II error are severe, a lower significance level may be used to reduce the risk of this type of error.
To learn more about : probability
https://brainly.com/question/251701
#SPJ8
In 2010, the U.S. Congress passed the Tax Relief, Unemployment Insurance Reauthorization, and Job Creation Act of 2010. The act reduced the self-employment tax rate from 15.3% to 13.3%. Estimate the reduction in self-employment tax for an individual whose taxable earnings totaled $50,319.
Answers
Answer:A topic sentence is used to bring
to a paragraph.
Step-by-step explanation:
A topic sentence is used to bring
to a paragraph.
(easy math question please help) find the value of x question #8
Answers
Answer:
X = 2
Step-by-step explanation:
44 + 104 + (18+7x) = 180
Simplify
A wet sock is stuck onto the inner wall of a washing machine drum as it rotates at a steady speed the graph shows the sock displacement y, in inches, from the center of the drum, for a given number of seconds, X what is the diameter of the washing machine drum?
Answers
The diameter of the washing machine which is equivalent to the wavelength using the graph above would be = 2.5in.
How to determine the diameter of the washing machine's drum?To calculate the diameter of the washing machine drum, the formula that should be used is given below as follows;
V = fλ
where
V = displacement/time
F = 1/T
But;
Displacement = 10 in
Time = 2 seconds
V = 10/2 = 5 in/s
F = 1/2 = 0.5
λ = 5/0.5 = 2.5in
Learn more about diameter here:
https://brainly.com/question/28162977
#SPJ1
The sum of three consecutive even numbers is 120. What is the smallest of the three numbers?
Answers
Answer:
Step-by-step explanation:
the consecutive are 39,40,41 and the smallest here is 39
Hope this helped
Krista designs quilts using the pattern shown. The table of values describes the shaded area of the pattern in square units, y, as a function of the length of a side,X units. Which equation describes this relationship?
Answers
The equation which describes the relationship between the side length and shaded area of the quilt is y=0.5x²
Modeling relationship between two variablesSide length, x = 1,3,4,5,8
Shaded Area, y = 0.5, 4.5, 8, 12.5, 32
The relationship can be modeled as a quadratic function. Using a graphing calculator for the quadratic function written in the form y = ax² + bx + c
a = 0.5 ; b = 0 ; c = 0
Therefore, the quadratic function can be written as y = 0.5x²
Learn more on quadratic functions ; https://brainly.com/question/1214333
#SPJ1
I'll give brainliest to the right answer!!!
Find three consecutive odd integers such that the difference of twice the second and the first is 11.
Answers
Answer:
7, 9, 11
Step-by-step explanation:
question: Find three consecutive odd integers such that the difference of twice the second and the first is 11.
make the 3 consecutive odd intergers x, y, and z.
numbers are consective (come right after another) AND odd, meaning you would add 2 every time. therefore:
x+2=y
y+2=z
given that: "difference of twice the second and the first is 11."
difference means subtraction
second number is the variable y
first number is the variable x
2y-x=11
----------------
3 equations:
2y-x=11
x+2=y
y+2=z
----------solve by substitution
x+2=y
x =y-2 into 2y-x=11
2y-(y-2)=11
2y-y+2=11
y=9
second number is 9
-----
numbers are 7, 9, 11
The box plots show the average gas mileage, in miles per gallon, of the cars sold at a dealership in June and in
December
Gas Mileage of Cars Sold in June
which inference can be made about cars?
a) The type of cars sold in June typically gets better gas mileage
b) The type of cars sold in December typically gets better gas mileage
c) The type of cars sold in the two months typically get about the same gas mileage
d) The types of cars sold in the two months typically get better gas mileage then those sold in other months
please help, thanks!
Answers
Answer:C
Step-by-step explanation:
I took the test
Answer:
C
Step-by-step explanation:
The types of cars sold in the two months typically get about the same gas mileage.
The following data give the estimated prices of a 6-ounce can or a 7.06-ounce pouch of water-packed tuna for 14 different brands, based on prices paid nationally in supermarkets are reproduced here.
0.99 1.92 1.23 0.85 0.65 0.53 1.41
1.12 0.63 0.67 0.69 0.60 0.60 0.66
a. Find the range.
b. Find the sample variance.
c. Find the sample standard deviation.
Answers
Answer:
a) Range = 1.39
b) the sample variance is 0.1597
c) the sample standard deviation is 0.3996
Step-by-step explanation:
Given the data in the question;
a) Find the range.
To determine the range, we simple subtract the smallest value from the largest value. i.e
Range = largest value - smallest value
from data set; our smallest is 0.53 while our largest value is 1.92
so
Range = 1.92 - 0.53 = 1.39
b) Find the sample variance.
To determine our variance, we use the following formula;
∑(\(X_{i}\) - \(x_{bar}\))² / n - 1 = [ ∑\(X_{i}\)²/n-1 ] - [ \(\frac{n}{n-1}\)(\(x_{bar}\))²]
where \(x_{bar}\) = ∑\(X_{i}\)/n
n is sample size = 14 so lets calculate ∑\(X_{i}\)
∑\(X_{i}\) = 0.99 + 1.92 + 1.23 + 0.85 + 0.65 + 0.53 + 1.41 + 1.12 + 0.63 + 0.67 + 0.69 + 0.60 + 0.60 + 0.66
∑\(X_{i}\) = 12.55
∑\(X_{i}\)² = 0.99² + 1.92² + 1.23² + 0.85² + 0.65² + 0.53² + 1.41² + 1.12² + 0.63² + 0.67² + 0.69² + 0.60² + 0.60² + 0.66²
∑\(X_{i}\)² = 13.3253
so
our \(x_{bar}\) = ∑\(X_{i}\)/n = 12.55 / 14 = 0.8964
so our Variance will be;
= [ ∑\(X_{i}\)²/n-1 ] - [ \(\frac{n}{n-1}\)(\(x_{bar}\))²]
= [ 13.3253 / 14-1 ] - [ \(\frac{14}{14-1}\) (0.8964)²]
= 1.025 - 0.8653
= 0.1597
Therefore, the sample variance is 0.1597
c) Find the sample standard deviation.
we know that standard deviation is the square root of variance;
standard deviation = √Variance
standard deviation = √0.1597
standard deviation = 0.3996
Therefore, the sample standard deviation is 0.3996
divide 5/8 3/4 in the most simple form
Answers
Answer:
15/32
3/4 x 5/8 = 15/32 in fraction form.
Step-by-step explanation: