The area of the circular base is 707 square feet, calculated using the formula A = πr², where π is 3.14 and the radius is 15 feet.
Explanation:The question asks for the area of a circular base of a statue with a given radius. This is a question of geometry, and the formula for the area of a circle is A = πr², where A represents the area and r represents the radius. In this case, the radius given is 15 feet.
To calculate the area, we insert the value of the radius into the formula, so it becomes A = π(15)². Since we are asked to use 3.14 for π, the calculation becomes: A = 3.14 * 15², which equals 706.5 square feet.
However, since we have been asked to round to the nearest whole number, the final answer would be 707 square feet.
To find the area of the circular base of the statue, we can use the formula A = πr^2, where A is the area and r is the radius. In this case, the radius is given as 15 feet. Plugging this value into the formula, we get:
A = 3.14 * 15^2 = 3.14 * 225 = 706.5 square feet
Rounding to the nearest whole number, the area of the base is approximately 707 square feet.
Learn more about Circle Area Calculation here:https://brainly.com/question/34380164
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Dado dos ángulos complementarios, uno mide (2x + 10) y el otro (x + 20),
calcula el valor de x
Answer:
El valor de x es igual a 20 o x = 20.
Step-by-step explanation:
Lo primero que se debe saber es que dos ángulos complementarios suman un ángulo recto o 90º.
Supongamos que el valor de un ángulo [tex] \\ \alpha[/tex] y un ángulo [tex] \\ \beta[/tex] valen:
[tex] \\ \alpha = 2x + 10[/tex] [1]
[tex] \\ \beta = x + 20[/tex] [2]
Como la suma de [tex] \\ \alpha + \beta = 90[/tex] [3]
Entonces
[tex] \\ \alpha + \beta = (2x + 10) + (x + 20) = 90[/tex]
Sumamos los factores comunes entre si:
[tex] \\ (2x + x) + (10 + 20) = 90[/tex]
Para la primera expresión debemos recordar que se suman sólo los coeficientes. Así:
[tex] \\ (2 + 1)x + (10 + 20) = 90[/tex]
[tex] \\ 3x + 30 = 90[/tex]
Para despejar la incógnita x, debemos tener en cuenta que una igualdad no se altera si se suma, se resta, se multiplica o divide un mismo valor a cada lado de ella. Por esta razón, para despejar 3x, lo primero que podemos hacer es sumar -30 a cada lado de la expresión (lo que es igual a restar 30 a cada lado de la misma). Así tenemos:
[tex] \\ 3x + 30 - 30 = 90 - 30[/tex]
[tex] \\ 3x + 0 = 90 - 30[/tex]
[tex] \\ 3x = 60[/tex]
Ahora dividimos cada miembro de la igualdad entre 3 (o multiplicamos cada lado de la igualdad por [tex] \\ \frac{1}{3}[/tex] ):
[tex] \\ \frac{3}{3}x = \frac{60}{3}[/tex]
Como sabemos que:
[tex] \\ \frac{3}{3} = 1[/tex]
Entonces:
[tex] \\ 1*x = \frac{60}{3}[/tex]
[tex] \\ x = \frac{60}{3}[/tex]
[tex] \\ x = 20[/tex]
De esta manera, el valor de x es igual a 20 o x = 20.
Lo anterior lo podemos comprobar considerando las ecuaciones [1], [2] y [3]. Así tenemos que:
[tex] \\ \alpha = 2x + 10[/tex] [1]
Sustituimos x por el valor de 20:
[tex] \\ \alpha = 2*20 + 10 = 40 + 10 = 50[/tex]
[tex] \\ \beta = x + 20[/tex] [2]
Hacemos lo mismo para [2]:
[tex] \\ \beta = 20 + 20[/tex]
[tex] \\ \beta = 40[/tex]
De esta manera:
[tex] \\ \alpha + \beta = 90[/tex] [3]
[tex] \\ 50 + 40 = 90[/tex]
two people were doing yard work for 1 hour and 35 minutes then they stopped for lunch at 1:20pm at what time did they start doing yard work?
Answer: The answer would be at 11:45.
Step-by-step explanation: First I though, if they stoppedd for lunch at 1:20 and they've been doing yard work for 1 hour and 35 minutes, I would subtract. 1 hour taken away from 1:20 would be 12:20. Then, since it would be hard to subtract 35 minutes from 12:20, 35 minutes - 20 minutes = 15 minutes. 12:20 subtract 20 minutes = 12:00. 12:00 - 15 minutes equal to 11:45. I hope this helps. I know this explanation can be confusing but it's the best I can do at the moment.
You have prizes to reveal! Go to your garne
)) 3 tons of compost cost $3,840.00. What is the price per pound?
PLZ IM TAKING TEST RN. HELP!!!!!!
For two functions, m(x) and p(x), a statement is made that m(x) = p(x) at x = 7. What is definitely true about x = 7? (2 points)
Both m(x) and p(x) cross the x-axis at 7.
Both m(x) and p(x) cross the y-axis at 7.
Both m(x) and p(x) have the same output value at x = 7.
Both m(x) and p(x) have a maximum or minimum value at x = 7.
Answer:
Both m(x) and p(x) have the same output value at x = 7
Step-by-step explanation:
for two functions m(x) and p(x) we know that the solution to the equation :
m(x)=p(x) is the x-value of the point of intersection of the two curves.
i.e. at this point the output value i.e. the value which is obtained on putting the input value i.e. 'x' is same for the two functions m(x) and p(x).
Hope This Helped
When m(x) = p(x) at x = 7, it implies that both functions produce the same output value at x = 7, representing the equality of the functions.
Both m(x) and p(x) have the same output value at x = 7. When m(x) = p(x) at x = 7, it means that both functions produce the same output value at x = 7. This is the defining characteristic of the statement made.
For a given x value of 7, both m(x) and p(x) will yield an identical result, indicating that they are equal at that specific point. This does not necessarily mean they cross the x-axis, y-axis, or have maximum or minimum values at x = 7, but rather that their outputs are the same at this particular x value.
Therefore, the correct statement about x = 7 when m(x) = p(x) is that both m(x) and p(x) have the same output value at x = 7.
What are the domain and range of f(x)=(1/5)x
Answer:
Step-by-step explanation:
hello :
f(x)=(1/5)x
the domain is : D= ℝ =]-∞ ,+∞[ (linair function)
the range is : E= ℝ =]-∞ ,+∞[ ( f^-1 is linair function)
____ numbers are useful in solving math problems with money
Answer:
Step-by-step explanation:
Decimal numbers
Answer:
Real
Step-by-step explanation:
what are two numbers that give you the difference of 2 and a sum of 84?
Answer:
41 + 43? I think
Step-by-step explanation:
41 + 43 = 84
43 - 41 = 2
Which are solutions of the equation 4x2 - 7x = 3x + 24? Check all that apply.
0
x=
-4
0
x=-3
0
w
0
x=
w/N
0
x=2
0
x = 4
Answer:
all work is shown and pictured
Choose the correct simplification of the expression –5x2(4x – 6x² – 3).
Answer:
[tex]30x^{4} -20x^{3} +15x^{2}[/tex]
Step-by-step explanation:
Simplify using the distributive property.
hope some of ya'll can help meee
Answer:
A= -2,-5
B= -4,-2
C= -2,0
D= 0,-2
Step-by-step explanation:
6.77 times 7 times 7.4
Answer:
350.686
Step-by-step explanation:
21. Given below are lease terms at the local dealership.
Terms:
• Length of lease = 36 months
• MSRP of the car = $22,500
• Purchase value of the car after lease = $17,500
• Down payment = $1999
• Monthly payment = $425
• $475 security deposit
• $500 acquisition fee
What is the total cash due at signing (including the first monthly payment)?
Answer:
you're answeris $3,399
Answer:
3,399
Step-by-step explanation:
Matt makes $80 a month mowing lawns. His friend James also mows lawns, but he makes x dollars less per month than Matt does. James makes $816 per year. How much less each month does James make than Matt?
Which expression represents the amount of money James makes each month?
Which equation represents the scenario?
Answer:
he makes $12 less.
Step-by-step explanation:
$80X12=960 - Matts income for the year
960-816=144 -How much less James makes than Matt per year
144/12=12 - How much less James makes than Mat per month
leave 5 stars and a thanks if it was helpful.
Answer:
Which expression represents the amount of money James makes each month?
✔ (80 – x)
Which equation represents the scenario?
✔ 12(80 – x) = 816
Step-by-step explanation:
A basketball coach recorded the number of points his team scored in each of the 11 games they played.
45 68 74 59 69 70 67 77 72 61 75
What is the interquartile range of the data?
A. 5
B. 8
C. 13
D. 15
Answer:
The inter-quartile range is 13. So the answer is C.
Step-by-step explanation:
Answer:
The inter-quartile range is 13. So the answer is C.
Please Help
I already posted this before but forgot the pic. Also can u show the work please.
Answer:
y-2 = (1/2)(x-4)
Step-by-step explanation:
you already have your slope and points given, just plug them in
** to make things clear, your point (4,2) should be (x1,y1) when you plug into equation
y-2 = (1/2)(x-4)
please help will give branilest when i can if you help !
Fill in the table with relative frequencies by column
a = 22.4 , 50.0, 66.7 ,72.3
b = 7.9, 17.1, 20.7, 32.6
c = 44.7, 46.7, 83.1, 97.2
d = 27.1, 48.9, 59.0, 80.7
e =17.1, 50.9, 67.4, 82.9
16
Which choices show the ratio of the area of the smaller rectangle to the area of the larger rectangle? Select three options.
Answer:
The options b) ,c) and e) are correctThe three choices shows the ratio of the area of the smaller rectangle to the area of the larger rectangle are b)[tex](\frac{4}{16})^2[/tex] , c) [tex]\frac{12}{192}[/tex] and e) [tex](\frac{3}{12})^2[/tex]Step-by-step explanation:
Given that a large rectangle has a length of 16 and width of 12.
A smaller rectangle has length of 4 and width of 3
To show the ratio of the area of the smaller rectangle to the area of the larger rectangle:we know that "If two figures are similar, the the ratio of its areas is equal to the scale factor squared"
From the given scale factor is [tex]\frac{1}{4}[/tex]
Let z be the scale factor
Let x be the area of the smaller rectangle
Let y be the area of the large rectangle
[tex]z^2=\frac{x}{y}[/tex]
Since scale factor is [tex]\frac{1}{4}[/tex] hence [tex]z=\frac{1}{4}[/tex]
we have [tex]z^2=(\frac{1}{4})^2[/tex]
[tex]=\frac{1}{16}[/tex]
∴ [tex]z^2=\frac{1}{16}[/tex]
Now show that the ratio of the area of the smaller rectangle to the area of the larger rectangle with each options.
a) [tex]\frac{4}{16}[/tex]
[tex]\frac{4}{16}=\frac{1}{4}[/tex]
Compare with [tex]\frac{1}{16}[/tex] we get,
[tex]\frac{1}{4}\neq \frac{1}{16}[/tex]
Hence it is not possible.b) [tex](\frac{4}{16})^2[/tex]
[tex](\frac{4}{16})^2=\frac{16}{256}[/tex]
[tex]=\frac{1}{16}[/tex]
Compare with [tex]\frac{1}{16}[/tex] we get,
[tex]\frac{1}{16}=\frac{1}{16}[/tex]
This implies that the ratio of the area of the smaller rectangle to the area of the larger rectangle.c) [tex]\frac{12}{192}[/tex]
[tex]=\frac{1}{16}[/tex]
Compare with [tex]\frac{1}{16}[/tex] we get,
[tex]\frac{1}{16}=\frac{1}{16}[/tex]
This implies that the ratio of the area of the smaller rectangle to the area of the larger rectangle.d) [tex](\frac{4}{12})^2[/tex]
[tex]=\frac{16}{144}[/tex]
[tex]=\frac{1}{9}[/tex]
Compare with [tex]\frac{1}{16}[/tex] we get,
[tex]\frac{1}{9}\neq \frac{1}{16}[/tex]
Hence it is not possible.e) [tex](\frac{3}{12})^2[/tex]
[tex]=\frac{9}{144}[/tex]
[tex]=\frac{1}{16}[/tex]
Compare with [tex]\frac{1}{16}[/tex] we get,
[tex]\frac{1}{16}=\frac{1}{16}[/tex]
This implies that the ratio of the area of the smaller rectangle to the area of the larger rectangle.∴ options b) ,c) and e) are correctThe three choices shows the ratio of the area of the smaller rectangle to the area of the larger rectangle are b)[tex](\frac{4}{16})^2[/tex] , c) [tex]\frac{12}{192}[/tex] and e) [tex](\frac{3}{12})^2[/tex]Answer:
The other individual who answered the question is correct, please give them 5 stars and a thanks.
Step-by-step explanation:
To simplify and clarify, the answers are B, C, E
A shirt originally cost $52.29, but it is on sale for $36.60. What is the percentage decrease of the price of the shirt? If necessary,
round to the nearest percent.
Answer: 30%
Step-by-step explanation:
Which statements are true regarding the area of circles and sectors? Check all that apply.
The area of a circle depends on the length of the radius.
The area of a sector depends on the ratio of the central angle to the entire circle.
The area of a sector depends on pi.
The area of the entire circle can be used to find the area of a sector.
The area of a sector can be used to find the area of a circle.
Answer:
A, B, D, E
Step-by-step explanation:
Got it right on edge
The area of a circle depends on the length of the radius.
What is a circle?A circle is the locus of a point such that its distance from a fixed point known as center is always constant.
Area of a circle = π * radius²
Area of a sector = (central angle / 360) * π * radius²
Hence:
The area of a circle depends on the length of the radius.The area of a sector depends on the ratio of the central angle to the entire circle.The area of the entire circle can be used to find the area of a sector.The area of a sector can be used to find the area of a circle.Find out more on circle at: https://brainly.com/question/24375372
(2b - 5)(2b + 5) =?
Please help! Polynomials are difficult for me..
Answer:
(2b-5)(2b+5)
4b^2-25
Step-by-step explanation:
Answer: 4b^2-25 is your answer.
(Vote me brainliest, please)
What is the value of quartile 2 (Q2)? 4.7
2.3
3.0
0
Help fast will mark as brainleist
Answer:
[tex]Q_{2}[/tex] = 3.0
Step-by-step explanation:
[tex]Q_{2}[/tex] represents the median of the data set.
From the box plot the median is the horizontal line inside the box and is positioned at 3.0
plz help Which statements are true about the circle shown below? Select three options.
A circle with diameter 8 centimeters.
The diameter is 8 cm and the radius is 16 cm.
The circumference of the circle in terms of Pi is 8 pi.
If Pi is approximated to StartFraction 22 over 7 EndFraction, the circumference of the circle is approximately 25.14 cm.
The circumference of the circle rounded to the nearest whole number is 20 cm.
If Pi is approximated to 3.14, the circumference of the circle is 25.12 cm.
Answer:
The circumference of the circle in terms of π is 8π.
If π is approximated to 22/7, the circumference of the circle is approximately 25.14 cm.
If π is approximated to 3.14, the circumference of the circle is 25.12 cm.
Step-by-step explanation:
The circumference of the circle = 2*π*r
r = radius
r = d/2
r= 8cm/2 = 4cm
π = 3.14
The circumference of the circle = 2π(4)= 8π , so we have:
The circumference of the circle in terms of π is 8π.
Using pi = 22/7, we have:
The circumference of the circle = 2* 22/7 * 4 = 8* 22/7 = 25.14 cm, so we have:
If π is approximated to 22/7, the circumference of the circle is approximately 25.14 cm.
Using pi = 3.14, we have:
The circumference of the circle = 2* 3.14 * 4 = 8* 3.14 = 25.12 cm, so we have:
If π is approximated to 3.14, the circumference of the circle is 25.12 cm.
Here we want to see which statement is correct about a circle with a diameter of 8cm.
The correct options are
"The circumference of the circle in terms of Pi is 8 pi.""If Pi is approximated to StartFraction 22 over 7 EndFraction, the circumference of the circle is approximately 25.14 cm.""If Pi is approximated to 3.14, the circumference of the circle is 25.12 cm."Things that we must know about circles:
We know that for a circle of diameter D:
The radius is half the diameter, so R = D/2The circumference is pi times the diameter, so C = pi*DThe area is pi times the radius squared: A = pi*R^2So our circle of diameter of 8cm has:
Radius R = 8cm/2 = 4cmCircumference C = pi*8cm = 3.14*8cm = 25.12cmArea A = pi*(4cm)^2 = pi*16cm^2And if pi = 22/7, the circumference is:
C = (22/7)*8cm = 25.14cm
Then the correct statements are:
"The circumference of the circle in terms of Pi is 8 pi.""If Pi is approximated to StartFraction 22 over 7 EndFraction, the circumference of the circle is approximately 25.14 cm.""If Pi is approximated to 3.14, the circumference of the circle is 25.12 cm."If you want to learn more about circles, you can read:
https://brainly.com/question/11833983
a meter is one thousandth of a kilometer. write an equation to show the relationship between 7 meters and 0.007 kilometer.
Need steps
Answer:
1000k=m
Step-by-step explanation:
if there is 1 meter for every 1000 kilometers, then .007 times 1000 will equal 7
Answer:
m=0.001k
k=kilometers, m=meters,
Step-by-step explanation:
One thousandth=0.001
0.001 k = 1 m
multiply each side by 7
0.007 k =7 m
How many unique triangles can be drawn with side lengths 8 in., 12 in., and 24 in.? Explain.
Answer:
2
Step-by-step explanation:
To figure this out, you must use the triangle inequality theorem. It says that the sum of 2 sides of the triangle should be more than the third side. If you add 8 and 12, you get less than 24 but if you add 12 and 24 or 8 and 24, you will get more. So, there are only 2 triangles! I hope this helps!
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Answer:
Hey, can you create a clearer question for us to answer please
Step-by-step explanation:
Thanks
:)
x2 - 2x = 24
O A 4.8,5
OB 26, -24
Oc 6.-4
C
D
4.8. -4.8
Answer:
6,-4 /is the right answer
Answer:
C. 6, -4.
Step-by-step explanation:
x^2 - 2x - 24 = 0
(x - 6)(x + 4) = 0
x = -4, 6.
HELP FAST
After spending $2150 for tables and $4050 for chairs, a convention center manager finds that the total is 9% more than he spent
on tables and chairs last year. To the nearest dollar, find the amount that he spent last year.
a. $558
$6813
b. $4451
d. $5688
Please select the best answer from the choices provided
0
A
oo
Mark this and return
Show Me
Save and Exit
Next
Submit
Answer:
D. $5688
Step-by-step explanation:
good luck
What is the solution to the system of equations 2x + 3y = 40 and y = x + 10?
x = 2; y = 12
x = 4; y = 14
x = 12; y = 2
x = 14; y = 4
Answer:
x=2, y=12
STEP BY STEP-
Replace the Y in 2x+3y=40 for X+10, because y=x+10. You now have 2x+3(x+10)=40. Now multiply the X and the 10 by 3, so you have 2x+3x+30=40. Combine like terms to get 5x+30=40. Subtract the 30 on both sides so you get 5x=10. Divide by 5 and that gives you the solution for X (2). Then, plug 2 in for X in the equation y=x+10. You now have Y=2+10. Combine like terms and you get 12, so Y=12.
Sorry that I'm so bad at explaining things
Final answer:
Substitute y = x + 10 into 2x + 3y = 40, simplify to 5x = 10, solve for x, then substitute x into the second equation to find y. The solution is x = 2 and y = 12.
Explanation:
The solution to the system of equations 2x + 3y = 40 and y = x + 10 can be found by substituting the second equation into the first. This is a common method for solving systems of linear equations, which involves elimination and substitution. We substitute y from the second equation into the first to get 2x + 3(x + 10) = 40, which simplifies to 2x + 3x + 30 = 40. After combining like terms, we have 5x = 10, which gives us x = 2. We then substitute x back into the second equation to find y. If x = 2, then y = 2 + 10, which means y = 12.
In May, Jenna's mean weekly salary was $78. She earned $70 in Week 1, $88 in Week 2, and $67 in Week 3. How much did Jenna earn in the last week of May?
Answer:
just add then all up then divide each of them buy the answer
Step-by-step explanation:
solve for x. log 10x=5.7
Answer:
0.57
Step-by-step explanation:
10x0.57=5.7