Answer:
85
Step-by-step explanation:
Find the area of the shaded region.
Answer:
60.5m^2
Step-by-step explanation:
the area of the square
=11m×11m
=121m^2
the area of triangle
=11m×11m÷2
=121m^2÷2
=60.5m^2
the area of the shaded region
=121m^2-60.5m^2
=60.5m^2
the answer is not very sure,
if it is wrong, i am sorry for it.
The volume of a right circular cone with radius r and height h is V = pir^2h/3.
a. Approximate the change in the volume of the cone when the radius changes from r to r and the height changes from h = 4.00 to h = 3.96.
b. Approximate the change in the volume of the cone when the radius changes from r to r and the height changes from h = 10.0 to h = 9.92.
a. The approximate change in volume is dV = _______. (Type an integer or decimal rounded to two decimal places as needed.)
b. The approximate change in volume is dV = ___________ (Type an integer or decimal rounded to two decimal places as needed.)
The question is incomplete. The complete question is :
The volume of a right circular cone with radius r and height h is V = pir^2h/3. a. Approximate the change in the volume of the cone when the radius changes from r = 5.9 to r = 6.8 and the height changes from h = 4.00 to h = 3.96.
b. Approximate the change in the volume of the cone when the radius changes from r = 6.47 to r = 6.45 and the height changes from h = 10.0 to h = 9.92.
a. The approximate change in volume is dV = _______. (Type an integer or decimal rounded to two decimal places as needed.)
b. The approximate change in volume is dV = ___________ (Type an integer or decimal rounded to two decimal places as needed.)
Solution :
Given :
The volume of the right circular cone with a radius r and height h is
[tex]$V=\frac{1}{3} \pi r^2 h$[/tex]
[tex]$dV = d\left(\frac{1}{3} \pi r^2 h\right)$[/tex]
[tex]$dV = \frac{1}{3} \pi h \times d(r^2)+\frac{1}{3} \pi r^2 dh$[/tex]
[tex]$dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$[/tex]
a). The radius is changed from r = 5.9 to r = 6.8 and the height is changed from h = 4 to h = 3.96
So, r = 5.9 and dr = 6.8 - 5.9 = 0.9
h = 4 and dh = 3.96 - 4 = -0.04
Now, [tex]$dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$[/tex]
[tex]$dV = \frac{2}{3} \pi (5.9)(4)(0.9)+\frac{1}{3} \pi (5.9)^2 (-0.04)$[/tex]
[tex]$dV=44.484951 - 1.458117$[/tex]
[tex]$dV=43.03$[/tex]
Therefore, the approximate change in volume is dV = 43.03 cubic units.
b). The radius is changed from r = 6.47 to r = 6.45 and the height is changed from h = 10 to h = 9.92
So, r = 6.47 and dr = 6.45 - 6.47 = -0.02
h = 10 and dh = 9.92 - 10 = -0.08
Now, [tex]$dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$[/tex]
[tex]$dV = \frac{2}{3} \pi (6.47)(10)(-0.02)+\frac{1}{3} \pi (6.47)^2 (-0.08)$[/tex]
[tex]$dV=-2.710147-3.506930$[/tex]
[tex]$dV= -6.22$[/tex]
Hence, the approximate change in volume is dV = -6.22 cubic units
The joint F.D.P of a bivariate VA (X, Y) is given
per:
a) Find the value of K.
b) Find the marginal F.D.Ps of X and Y
c) X and Y are independent?
Answer:
2
Step-by-step explanation:
ed
Write the equation of line AB in slope-intercept form, given the points A(0,5) and B(-5,-10) . In your final answer, include all of your calculations.
Answer:
y = 3x + 5
Step-by-step explanation:
1) First, find the slope between the pair of points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of points A and B into the formula and simplify:
[tex]m = \frac{(-10)-(5)}{(-5)-(0)} \\m = \frac{-10-5}{-5-0} \\m = \frac{-15}{-5} \\m = 3[/tex]
So, the slope is 3.
2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that (0,5) is a point the line intersects, and since it has an x-value of 0, that must be the y-intercept.
3) Using slope-intercept format, represented by the equation [tex]y = mx + b[/tex], write the equation of the line. Remember that the number in place of [tex]m[/tex], or the coefficient of the x-term, is the slope. So, substitute 3 for [tex]m[/tex]. Also, remember that [tex]b[/tex] represents the y-intercept of a line, so substitute 5 in its place, too. This gives the following answer:
[tex]y = 3x + 5[/tex]
An account is open with initial deposit of $5500 and earn 2.5% interest compounded annually. What will the account be worth in 10 years
Answer:
FV= $7,040.46
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $5,500
Number of periods (n)= 10 years
Interest rate (i)= 2.5%
To calculate the future value (FV), we need to use the following formula:
FV= PV*(1 + i)^n
FV= 5,500*(1.025^10)
FV= $7,040.46
What is the period of the following periodic function? to 3 decimal places
y= .5csc(x+9)-6
Which one is the answer
Answer:
x = 30 degrees
Step-by-step explanation:
a triangle's angles should all add up together to 180 degrees. Since a right angle is 90 degrees then you have your 60 degree angle that only leaves 30 degrees left.
Answer: A and C
Step-by-step explanation:
A is right because it’s right triangle since it has a right angle. C is also right, x=30 because we have 60 degrees and 90 degrees. 60 plus 90 is 150 and a triangle is equal to 180 degrees 180-150 is 30
help please ............
Please I’ll give BRAINLY just help
Answer:
24 square units is the answer
Answer:
the area is 32.5
Step-by-step explanation:
el acensor de 8 es 7'?
Answer:
La planta de la que ha salido el ascensor es: -1(planta del sótano)
Datos:
Subió 8 pisos
Piso final= 7
Explicación:
Para resolver el enunciado, se debe tener en cuenta que:
Piso final - Piso inicial= 8
Reemplazando y despejando:
7-Piso inicial= 8
Piso inicial= 7-8
Piso inicial= -1
Por lo tanto, ha salido de la planta del sótano
Verificando:
Piso inicial +8= piso final
-1+8= Piso final
7= piso final
Profundiza en matemáticas en brainly.lat/tarea/10834640
Step-by-step explanation:
Answer:
¡Eso es extraño! Espero nunca llegar a ver que me perdería. ¿Sería como si el octavo piso fuera en realidad siete?
Step-by-step explanation:
Help Plis.......................
Answer:
C
Step-by-step explanation:
Two negative signs make a positive number. So -(-4) makes 4. I know it sounds weird, but thats what schools teach. Hope this helps!
arrange the following whole numbers in increasing and decreasing order
Answer:
Increasing Order:
34, 71, 269, 976, 16759, 49753, 796542
Decreasing Order:
796542, 49753, 16759, 976, 269, 71, 34
Help pls giving branliest
Answer:
What types of nouns should be used in effective process writing?
Step-by-step explanation:
Plz help me in math problem Its easy I just want to know how to solve this equation.
which of the following is equal to the rational expression?
Answer:
d
Step-by-step explanation:
please mark as brainliest if correct
thank you
have a great day/night
:)
Convert this rational number to its decimal form
and round to the nearest thousandth.
1/7 = _)[?]
Answer:
=0.1428571428751
I hope it's helps you
draw the image of ABC under a translation by 2 units up
Answer:
Move the corners of the triangle up the axis by two blocks.
A = (-7,-3)
B = (-2,6)
C= (6,-3)
Please help I’ll mark you as brainliest if correct!
Answer:
I think you are right
Step-by-step explanation:
The sum of two numbers is 66. The smaller number is 18 less than the larger number. What are the numbers?
69 divided by 1/4 as a fraction
Answer:
17.25
Step-by-step explanation:
Pls help meeeee thank you
Answer:
Step-by-step explanation: learn yourself yw -dabay
6. Find the distance between the points (-2,-3) and (-4,4).
Answer:
Step-by-step explanation:
Question 11 of 25
What is the solution to this inequality?
X/12 +3 <=7
A. X>=48
B. X<= 81
C. x>=81
D. X<=48
SUBM
Answer:
D
Step-by-step explanation:
first multiply both sides by 12
collect like terms
x/12×12+3×12<=7×12
x+36<=84
x<=84-36
x<=48
-9/5+-2/3+1/5+3/5 please solve someone
Answer:
-5/3
Step-by-step explanation:
-9/5 + -2/3 + 1/5 + 3/5
= (-9/5 + 1/5 +3/5) - 2/3 (combine the like terms)
= -1 - 2/3
= -5/3
At noon, it was -18 degrees in Billings, MT. At the same time, it was 42 degrees in Mesa, AZ.
How much warmer was Mesa than Billings at noon?
Answer:
60℉ Warmer
Step-by-step explanation:
Since it is a negative temperature in Billings, you need to add 18+42 ( The temp in Mesa ) to get 60 because you need to get how much warmer.
Hope that helps
Find the value of x. Round to the nearest tenth.
Answer:
x=13.584
Step-by-step explanation:
[tex] \frac{x}{ \sin(51) } = \frac{11}{ \sin(39) } \\ [/tex]
[tex]x = 13.584[/tex]
[tex]180 - 39 - 90 = 51[/tex]
answer and give proof and ill give brainliest
Answer:
I'm giving you the steps
Step-by-step explanation:
Add all the numbers shown then round them
The retail price of a television set is $2500. If the buyer pays cash, the price is 10% below the retail price. If the set is bought on hire purchase, the buyer pays a downpayment of $500 and 18 monthly installments of $150.
A) Determine the difference between the hire purchase price and the cash price.
B) Calculate the difference as a percentage of the retail price.
Answer:
cash price:
10% = 250
2500 - 250 = $2,250
hire purchase:
2500 + 500 + 150(18) = $5,700
a) 5,700 - 2,250 = $3,450
someone please help me answer this!!1
Answer:
b = 9m is the answer.
Step-by-step explanation:
a = 12m
b = ?
c = 15m
According to the Pytagorean theorem,
a² + b² = c²
12² + b² = 15²
144 + b² = 225
b² = 225 - 144
b² = 81
b = 9
∴ The slide is 9m away from the monkey bars.
a business plants trees on 2/4 acre of land each month for 7 months. how many acres of land does the business plant with trees after the 7 months?
a) 2/28
b) 14/28
c) 14/4
d) 30/4
please help. and please take this seriously, thank you.
Answer:
C) 14/4
Step-by-step explanation:
Multiply the amount of land per month by the number of months.
(2/4)(7) = 14/4 acres
Option C is correct, 14/4 acres of land does the business plant with trees after the 7 months
What is Fraction?A fraction represents a part of a whole.
A business plants trees on 2/4 acre of land each month for 7 months.
We have to find the number of acres of land does the business plant with trees after the 7 months
To find this we have to multiply seven with two by four
7×2/4
14/4
Hence, 14/4 acres of land does the business plant with trees after the 7 months
To learn more on Fractions click:
https://brainly.com/question/10354322
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