Answer:
314.15926 square feet
Step-by-step explanation:
Formula for sphere surface area = 4*π r^2
radius = (1/2)*diameter = (1/2)* 10 feet = 5 feet
Area = 4* π*(5)^2 = 100π = 314.15926 square feet
Final answer:
The surface area of a sphere with a diameter of 10 ft is 100π square feet, or approximately 314.16 square feet.
Explanation:
The surface area of a sphere can be calculated using the formula 4πr², where r is the radius of the sphere. Given that the diameter of the sphere is 10 ft, the radius is half of that, which is 5 ft. Plugging the radius into the formula, we get the surface area as 4π(5 ft)² = 4π x 25 ft² = 100π ft². Therefore, the surface area of the sphere with a diameter of 10 ft is 100π square feet, which is approximately 314.16 square feet when π is approximated to 3.1416.
Find: 0.15 cents of $2 dollars
Answer:
12
Step-by-step explanation:
what is the input value other than 7 for which g(x)=4
Given:
It is given that the value of the graph when the input 7 is [tex]g(x)=4[/tex]
We need to determine the value of x when [tex]g(x)=4[/tex]
Value of x when [tex]g(x)=4[/tex]:
The value of x can be determined by using the graph.
From the graph, we need to determine the value of x when [tex]g(x)=4[/tex] other than the value x = 7.
This can be determined by finding the point at which the line meets the point y = 4, we can find the corresponding x - value.
Thus, from the graph, it is obvious that the graph also meets the point y = 4 when x = -8.
Therefore, the input value is x = -8 which makes [tex]g(x)=4[/tex]
Hence, the input value other than 7 for which [tex]g(x)=4[/tex] is x = -8.
The input value other than 7 for which g(x) = 4 is x = -8.
It is given that the value of the graph when the input 7 is g(x)=4
We need to determine the value of x when g(x)=4
Value of x when g(x)=4:
The value of x can be determined by using the graph.
This can be determined by finding the point at which the line meets the point y = 4, we can find the corresponding x - value.
From the graph, we get that the graph of g(x) passes through the point (x = -8, y = 4),
Thus, from the graph, it is obvious that the graph also meets the point y = 4 when x = -8.
Then indeed, the input value (x) other than 7 for which g(x) = 4 is x = -8.
As, the function g(x) takes the value of 4 at x = -8, according to the graph.
Therefore, the input value is x = -8 which makes g(x) = 4.
Hence, the input value other than 7 for which g(x) = 4 is x = -8.
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A regular octagon has an apothem of 11.6 inches and a perimeter of 87.2 inches. What is the area of the octagon
Answer:
The area of the octagon is 505.76 [tex]inches^{2}[/tex]
Step-by-step explanation:
In this question, we are tasked with calculating the area of an octagon given the values of the apothem and the perimeter
Mathematically, the area can be calculated using the formula below;
Area = 1/2 × apothem × perimeter
where according to the question, the apothem = 11.6 inches and the perimeter = 87.2 inches
Plugging these value into the equation given above, we have
Area = 1/2 × 11.6 × 87.2 = 505.76 [tex]inches^{2}[/tex]
The area of a square equals the square of a length of the side of the square. The perimeter of a square equals the sum of the lengths of all four sides. The sum of the areas of two squares is 65, while the difference in their areas is 33. Find the sum of their perimeters.
We can call the areas of the squares x and y. x+y=65 and x-y=33.
x would have an area of 49 and y has an area of 16.
Each side of x would be 7 and each side of y would be 4.
Jayden school is selling tickets to play on the first day of ticket sales to school sold six adult tickets and 12 child tickets for a total of $252 the school took 243 on the second day by selling 14 adult tickets and five child tickets what is the price of one adult ticket and one child ticket
Answer:
iihiuhihiuiu
Step-by-step explanation:
ioiiuouioiiouuioooooooooooooooooooooiuuguygy
In order for you to answer the following question correctly, please use the images down below:
Complete the two-column proof of the Segments of Chords Theorem.
Please correct me for any of the answers I got wrong.
AEC is congruent to DEB should be the answer for 5.
ALSO...
You're proving that EB * EA = EC * ED, so the 7th blank should be "EB * EA = EC * ED"
Otherwise, everything else is good.
what is the unit rate of 49 points in 7 games
Answer:
7
Step-by-step explanation:
49÷7
-4x - 2y = -2
X - 2y = 9
What is the result of subtracting the second equation from the first
Answer: -5x= -11
Step-by-step explanation:
Final answer:
Subtracting equations to find the value of x.
Explanation:
The result of subtracting the second equation from the first is:
Subtract every corresponding term:
-4x - 2y - (x - 2y) = -2 - 9
-4x - 2y - x + 2y = -11
-5x = -11
x = 11/5 or 2.2
Pluto has a circumference of about 7,232,000 meters.Give the circumference of Pluto in scientific notation
Final answer:
The circumference of Pluto is 7,232,000 meters, which is represented as 7.232 × 10⁶ meters in scientific notation.
Explanation:
To express the circumference of Pluto in scientific notation, you start by placing the decimal after the first non-zero digit and count the number of places the decimal has moved. The circumference of Pluto is 7,232,000 meters. In scientific notation, this is written as 7.232 × 10⁶ meters.
Here is a step-by-step breakdown of the conversion process:
Identify the first non-zero digit in 7,232,000, which is 7.Place the decimal point after this digit to get 7.232Count how many places you moved the decimal point; in this case, it is 6 places to the left.Write the number as a product of the first part and 10 raised to the power of the number of decimal places moved, which is 106.The final answer in scientific notation is 7.232 × 10⁶ meters.Remember, scientific notation is useful for expressing very large or very small numbers in a simplified format.
Ed genuity
Triangle A B C is shown. Angle A C B is a right angle, angle C A B is 60 degrees, and angle A B C is 30 degrees. The length of the hypotenuse is 10. What are the lengths of the other two sides of the triangle? AC = 5 and BC = 5 AC = 5 and BC = 5 StartRoot 5 EndRoot AC = 5 StartRoot 3 EndRoot and BC = 5 AC = 5 and BC = 5 StartRoot 3 EndRoot
Hope This Helps! :)
Explanation:
The measure of the two sides of the triangle are 5√3 & 5 units respectively.
What are trigonometric functions?In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.
Given here: A triangle ABC with angle as C as a right angle and the hypotenuse is equal to 10
Let the perpendicular and the base of the triangle is p and b respectively.
Thus
Sin 60=p/10
p=10×√3/2
p=5√3
Also, Cos 60=b/10
b=10×1/2
b=5
Hence, The measure of the two sides of the triangle are 5√3 & 5 units respectively.
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Garrett's family is going to relax at the beach all day! In preparation, Garrett made s
sandwiches for them to eat when they get hungry. Garrett put 3 slices of turkey and 3 slices
of ham on each sandwich.
Pick all the expressions that represent how many slices of meat Garrett used on the
sandwiches.
6s
3 + 3 + S
9s
3s + 3s
Answer:
6s
3s + 3s
Step-by-step explanation:
What is the area of this parallelogram to 2 significant figures?
Answer:
Step-by-step explanation:
Area of a parellogram is bh but a parellogram with its adjacent sides equal is a rhombus and rhombuses area us 1/2diagonal1×diagonal2 also diagonal of a parellogram bisect each other so diagonal will be 8cm and 14cm diagonal of a parellogram divides it into two congruent triangle vertically opposite angles are equal all non zero numbers are significant if zero is between two numbers its significant if zero is after decimal and the number less than zero than the zeroes are insignificant like in 0.0820 but the zeroes after decimal are significant
But zeroes after no decimals are not significant like 100 the powers tens are irrelevant like 10^3 has only one significant figure
Sorry don't know answer but hopes this helps so sorry
Choose the right answer. Plane A leaves Tulsa at 2:00 p.m., averaging 300 mph and flying in a northerly direction. Plane B leaves Tulsa at 2:30 p.m., averaging 225 mph and flying due east. At 5:00 p.m., how far apart will the planes be?
Plane A and Plane B will be approximately 1061.21 miles apart at 5:00 p.m
Given: Speed of plane A is 300 mph and B is 225 mph. Plane A leave at 2 pm and B leaves at 2:30 pm
To find: distance between them at 5 pm
We know that [tex]\text{speed} = \frac {\text{distance}}{\text{time}}[/tex]
So, we can find distance travelled by plane A by 5 pm [tex]= 300 \times 3 = 900[/tex] miles
To calculate distance travelled by plane B we need to find the time plane B has flied between 2:30 and 5 pm. We can see that the plane flew for 2 hours and 30 mins. We can write 2 hours 30 mins as 2.5 hours.
So, distance travelled by plane B by 5 pm [tex]= 225 \times 2.5 = 562.5[/tex] miles
Since plane A is moving in north and plane B is moving in east, it forms a right angled triangle with 900 miles and 562.5 miles as its perpendicular and base.
To find distance between the planes we can use Pythagoras theorem:
[tex]\text{hypotenuse} = \sqrt{ \text{(perpendicular)}^2 + \text{(base)}^2} \\\text{hypotenuse} = \sqrt{ 900^2 + 562.5^2}\\\text{hypotenuse} = \sqrt{810000 + 316406.25}\\\text{hypotenuse} = \sqrt{1126406.25} \approx 1061.21\\[/tex]
Therefore, the planes will be approximately 1061.21 miles apart at 5:00 p.m.
What is the input value for which
f(x)=−3
Answer:
Every value of x.
Step-by-step explanation:
The function is a zero-order polynomial, whose value remains constant for all value of x.
cos72cos130+sin72sin130
Answer:
.5299192646
Step-by-step explanation:
Just plug it in a calculator
what is 3.61 in radical form
there are 80 student in a class if 6 of them are absent then find the percentage of the present student
Answer:92.5%
Step-by-step explanation:
Divide 100 by 80 to find the percentage each student counts for
Then multiply the product(1.25) by 74 (the present students) to get the answer
Answer: 74/80 = 92.5% of the students are present.
What is the area of the rectangle 21 m 33 m 21 m
The area of a rectangle with dimensions 21 m by 33 m is 693 square meters, calculated by multiplying the length and width.
The area of a rectangle is calculated by multiplying the length by the width. In the case of a rectangle with dimensions 21 m by 33 m, the formula to find the area A is:
A = length x width
So, the area of the rectangle is:
A = 21 m x 33 m
A = 693
Hence, the area of the rectangle is 693 square meters.
The labor force participation rate is the number of people in the labor force divided by the number of people in the country who are of working age and not institutionalized. The BLS reported in February 2012 that the labor force participation rate in the United States was 63.7% (Calculatedrisk). A marketing company asks 120 working-age people if they either have a job or are looking for a job, or, in other words, whether they are in the labor force. What are the expected value and the standard error for a labor participation rate in the company's sample?
Answer:
Expected value=77 people
Standard error=0.0040
Step-by-step explanation:
-Given the proportion is, p=0.67
-The expected value can be calculated as:
[tex]Expected \ Value=np\\\\=120\times 0.637\\\\=76.44\approx 77[/tex]
#The standard deviation is calculated as:
[tex]\sigma_p=\sqrt{\frac{p(1-p)}{n}}\\\\=\sqrt{\frac{0.637(1-0.637)}{120}}\\\\=0.0439[/tex]
#We use this calculated standard deviation to calculate the standard error:
[tex]SE=\frac{\sigma_p}{\sqrt{n}}\\\\=\frac{0.0439}{\sqrt{120}}\\\\=0.0040[/tex]
Hence, the sample has an expected value of approximately 77 people and a standard error of 0.0040
Mike bought a soft drink for 3 dollars and 4 candy bars. He spent
a total of 19 dollars. How much did each candy bar cost ?
Answer: each candy bars costs 4 dollars
Step-by-step explanation:
subtract 3 from 19 then divide the answer by 4
Each candy bar equalled 4 dollars.
19-3= 16
16 divided by 4 (candy bars) = 4
What is the slope of the graphed line ?
Answer:
you cannot see the graph
Step-by-step explanation:
1/3
The slope is determined by change in y / change in x.
Here we can see that it takes 3 blocks from (1,1) until the line is on an integer, (4,2) and that y increases by one while x increases by 3.
A line passes through the point (-8, 8) and has a slope of 5/2.
Write an equation in point-slope form for this line.
Answer:
y=5/2x + 8
Step-by-step explanation: Y=mx+b is the equation for slope intercept form. Basically you just have to plug in the numbers.
Un supermercado lanza una promoción para agradecer la fidelidad de sus clientes así: cada que 33 personas pasen por la caja registradora se le regala al cliente de turno un descuento del 50% en sus compras y, cada que pasen 44 personas, al cliente de turno se le obsequiará un televisor LCD de 32 pulgadas. ¿Cada cuántos clientes se ganan los dos premios es una misma compra? A. 77 clientes. B. 88 clientes. C. 99 clientes. D. 132 clientes.
Answer: La respuesta es cada 132 clientes
Lo que hice fue poner la parte de 33 y 44 sumándose entre si:
33+33=66+33=99+33=132 etc
44+44=88+44=132 etc
Y si te diste cuenta concuerdan los dos en 132
Espero que te sirva
Aplicando el mínimo común múltiplo, se encuentra que a cada 132 clientes se ganan los dos premios es una misma compra, opción D.
Los clientes que ganan el descuento de 50% son los múltiplos de 33.Los clientes que ganan el televisor LCD de 32 pulgadas son los múltiplos de 44.Para ver los que ganam ambos, hay que ver lo mínimum común múltiplo de 33 y 44, o sea:
33 - 44|2
33 - 22|2
33 - 11|3
11 - 11|11
1
mcm(33,44) = 2x2x3x11 = 132
O sea, cada 132 clientes se ganan los dos premios es una misma compra, opción D.
Un problema similar es dado en https://brainly.com/question/10894149
Where does photosynthesis take place
Answer:chloroplast
Step-by-step explanation:It’s takes place inside plant cells in small things called “chloroplast”
The three lines represent the number of hot dogs eaten by three contestants at a hot dog eating competition. Which contestant was eating at the slowest rate?
Answer:
Contestent K
Step-by-step explanation:
The contestant who was eating at the slowest rate will be in line K.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The three lines represent the number of hot dogs eaten by three contestants at a hot dog eating competition.
The diagram is shown below.
From the diagram, we can observe that for the same run, the rise of line K will be the least.
The contestant who was eating at the slowest rate will be in line K.
The complete question is attached below,
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How are part to part ratios different from part to whole ratios?
Answer:
Part to part ratios are comparing two different things that sum up to its whole, and part to whole ratios are a part of something compared to the whole thing.
Step-by-step explanation:
It's kinda hard to explain..
Darren invests $4,500 into an account that earns 5% annual interests. How much will be in the account after 10 years if the interest rate is compounded annually, quarterly, monthly, or daily? Which compounded interest rate should Darren choose?
We have been given that Darren invests $4,500 into an account that earns 5% annual interests. We are asked to find the amount in his account after 10 years, if the interest rate is compounded annually, quarterly, monthly, or daily.
We will use compound interest formula to solve our given problem.
[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where,
A = Final amount,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
t = Time in years.
[tex]5\%=\frac{5}{100}=0.05[/tex]
When compounded annually, [tex]n=1[/tex]:
[tex]A=4500(1+\frac{0.05}{1})^{1\cdot 10}[/tex]
[tex]A=4500(1.05)^{10}[/tex]
[tex]A=4500(1.6288946267774414)[/tex]
[tex]A=7330.025820498\approx 7330.03[/tex]
When compounded quarterly, [tex]n=4[/tex]:
[tex]A=4500(1+\frac{0.05}{4})^{4\cdot 10}[/tex]
[tex]A=4500(1.0125)^{40}[/tex]
[tex]A=4500(1.6436194634870132)[/tex]
[tex]A=7396.28758569\approx 7396.29[/tex]
When compounded monthly, [tex]n=12[/tex]:
[tex]A=4500(1+\frac{0.05}{12})^{12\cdot 10}[/tex]
[tex]A=4500(1.00416666)^{120}[/tex]
[tex]A=4500(1.64700949769)[/tex]
[tex]A=7411.542739605\approx 7411.54[/tex]
When compounded daily, [tex]n=365[/tex]:
[tex]A=4500(1+\frac{0.05}{365})^{365\cdot 10}[/tex]
[tex]A=4500(1.0001369863013699)^{3650}[/tex]
[tex]A=4500(1.6486648137656943695)[/tex]
[tex]A=7418.9916619456\approx 7419.00[/tex]
Since amount earned will be maximum, when interest is compounded daily, therefore, Darren should use compounded daily interest rate.
simplify 3^5 x 3^4
A: 3^9
B: 6^9
C: 3 x 20
D: 3^20
Answer:
3^9
Step-by-step explanation:
when multiplying and the bases are the same number simply add the exponents ex: a^b x a^c = a^b+c
Brian is buying T-shirts for the marching band. He knows that at parades the band forms 24 rows. Each row has 13 students. If T-shirts come in boxes of 100, how many boxes of T-shirts should Brian buy?
Answer:
4 boxes (Brainliest Please)
Step-by-step explanation:
You have to find the amount of students
24 X 13 = 312
You have to get enough for everybody so you need 400 shirts so that everyone can get one.
400 / 100
4 boxes
The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is divisible by 9". Find P(A).
Answer:
0.15
Step-by-step explanation:
The only outcome that is divisible by 9 is 9 itself. At this point, the probability is 0.15. Hope this helps!