Answer:
The diameter decreases at a rate of 0.053 cm/min.
Step-by-step explanation:
Surface area of an snowball
The surface area of an snowball has the following equation:
[tex]S_{a} = \pi d^2[/tex]
In which d is the diameter.
Implicit differentiation:
To solve this question, we differentiate the equation for the surface area implictly, in function of t. So
[tex]\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}[/tex]
Surface area decreases at a rate of 3 cm2/min
This means that [tex]\frac{dS_{a}}{dt} = -3[/tex]
Tind the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm.
This is [tex]\frac{dd}{dt}[/tex] when [tex]d = 9[/tex]. So
[tex]\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}[/tex]
[tex]-3 = 2*9\pi\frac{dd}{dt}[/tex]
[tex]\frac{dd}{dt} = -\frac{3}{18\pi}[/tex]
[tex]\frac{dd}{dt} = -0.053[/tex]
The diameter decreases at a rate of 0.053 cm/min.
What is the area of this semicircle if the radius is 6m?
Unit 10: Circles ** please show how you got the answer ** i know the answer is 108° but i don’t know how to get it.
Answer:
108 degrees
Step-by-step explanation:
you gotta add the degrees up with a protractor or you add 54 plus 54 which equals 108
A retiree invests $7,000 in a savings plan that pays 7% per year. What will the account balance be at
the end of the first year?
Answer:
$6510
Step-by-step explanation:
First thing that should come to mind is: What is 7% of $7000?
Well, if you don't know how to find a percent of something, this is the formula you use:
7000 x 0.07 = 490.
In the first year, they will receive 490 out of the 7000 they've invested.
7000 - 490 = 6510.
Therefore, the account balance at the end of the first year will be 6510.
The account balance at the end of first year will be equal to $6510.
What do you mean by percentage ?
Percentage is the relative value indicating one hundredth part of any quantity.
It is given that a retiree invests $7000 in a savings plan which pays 7% per year. So , it meant that we need to calculate that what is the value 7% of $7000.
So , 7% of $7000 is :
= 7000 × [tex]\frac{7}{100}[/tex]
= $490
It is known that this amount is paid as per plan per year. So, to find out the account balance at the end of the first year , we need to subtract the invested amount to the amount per year at 7%.
So , the account balance at the end of first year will be :
= 7000 - 490
= $6510
Therefore , the account balance at the end of first year will be equal to $6510.
Learn more about percentage here :
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Which of the following are remote interior angles of Z6? Check all that apply.
4
1
5
2.
2
6
3
O A. 24
B. 21
O C. 22
O D. 25
E. <3
A F. 26
Answer:
B. <1
E. <3
Step-by-step explanation:
Remote interior angles are interior angles inside a triangle that are opposite to an exterior angle of the triangle.
<6 is an exterior angle. The remote interior angles that are opposite to <6 are <1 and <3.
Therefore, <1 and <3 are remote Interior angles of <6
They are away from <6.
The remote interior angles of ∠6 are ∠1 and ∠3
Remote interior angles:Remote interior angles are those angles that don't share a vertex or corner of a triangle with the exterior angle.
The remote interior angles are usually opposite of the exterior angles.
The remote interior angles of ∠6 are those angles interior angles that does not share a vertex with the ∠6(exterior angle).
Therefore, the remote interior angles of ∠6 are ∠1 and ∠3
learn more on remote interior angles:https://brainly.com/question/1585690
Question 6 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10 T. (1.9)
-10
(0, 0)
10
-101
O A. y=-*
O B. y= 18x
O C. y=9x
O D. y= -18x
1
X
O E. y = 5
O F. y=-9x
SUBMIT
The equation of the line is y = 9x. The correct answer is C.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
the points of line are (1,9) and (0,0).
Now,
In this case, the given points are (1, 9) and (0, 0). We can use them to find the slope:
m = (y2 - y1) / (x2 - x1) m = (0 - 9) / (0 - 1) m = -9 / -1 m = 9
Then we can use the point-slope form with any of the given points. Let’s use (0, 0):
y - y1 = m (x - x1) y - 0 = 9 (x - 0) y = 9x
This is already in slope-intercept form. The slope is 9 and the y-intercept is 0.
Therefore, the equation of the line will be y = 9x.
Learn more about equations here;
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Use triangle DEF shown below to answer the question that follows. What is the value of X rounded to the nearest hundredth?
Answer:
it might be x=63.27
Step-by-step explanation:
Will give brainliest
Find the area of this triangle.
Round to the nearest tenth.
7 in
133
13 in
[ ? ) in2
Answer:
33.3 in²
Step-by-step explanation:
Apply the formula for finding the area of triangle that has an included angle and two given sides, which is, Area = ½*a*b*Sin*C
Where,
a = 7 in
b = 13 in
C = 133°
Plug in the values
Area = ½*7*13*Sin(133)
Area = 33.2765935 ≈ 33.3 in² (nearest tenth)
I have no clue how to do this! please help me!!!
Answer:
The equation has one solution.
A value of x that makes the equation true is 5, which when substituted into the equation and simplified makes the equation turn into 10=10
A value of x that makes the equation false is 6, which when substituted into the equation and simplified makes the equation turn into 12=10
Step-by-step explanation:
2x=10
Divide both sides by two:
2x/2=10/2
x=5. There is no other solution to the equation, because 5 is the only possible answer.
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
all but the middle
Step-by-step explanation:
did this on a test an got 100%
Answer:
You have negetive points
Step-by-step explanation:
What is the area of the following figure in square inches?
Answer, Alright the formula for a Rectangle is (A = bh) so ill do ( 13 x 8 ) = 104. Next ill do the triangle 19 - 13 is 6 which is the height of the triangle. The formula for a triangle is ( 1/2bh ) so lets do (6 x 8 ) which is 48 now lets divide it by 2...24.
24 + 104 = 128
Step-by-step explanation:
First, I split the Square from the Traingle
Second, I did base times height which equaled (104)
Third, I found the area of the triangle by base times height divided by 2.(24)
Lastly, I added the figures up which equaled 128
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answer:
x=15
Angle (5x+6): 81
Angle (8x-39): 81
Step-by-step explanation:
5x+6=8x-39
add 39 to both sides
5x+45=8x
-5x on both sides
45=3x
divide both sides by 3
x=15
Math 3rd grade can anyone explain why is 48 ?? I thought that we need to plus 6 top 6 bottom and each side is 8 why 8 because 6+2 is 8
So 6+6+8+8 = 24
Answer:
It's 48
Step-by-step explanation:
The entire area of the rectangle would be length times width
The width is six, and the length is 8
6 times 8 is 48
btw, its asking for area
Answer:
See, its divided into TWO squares/rectangles.
you have to solve with the numbers you have on each one.
so, for the covered in shade one, you do 6 times 2, which is 12.
for the "not covered" you need to find the second number for the square. Since it has equal sides, the other side will be 6.
for that one you do 6 times 6 which is 36.
now you add both of them.
36 + 12= 48.
You added them, you need to multiply them but do not mix both rectangles/ squares numbers until the end
Please answer soon!!!
help please, i need it asap. thank you
Answer:
x = 5
Step-by-step explanation:
[tex]\frac{3}{x}[/tex] = [tex]\frac{4.5}{7.5}[/tex]
cross multiply
4.5x = 7.5(3)
4.5x = 22.5
Divide
x = 5
PLEASE HELP A BROTHER OUT
Charlie's business makes $1,051.75 on average each day. What should Charlie expect the business
to make in three weeks?
Answer:
$22,086.75 if he works 7 days a week! BUT in case of the scenerio where he works 5 days a week: $15776.25.
Step-by-step explanation:
Ok bro.
Depending on what kind of buisness he has here are the answers:
If he works 7 days a week, that means he works 21 days. 21 * $1,051.75 =
$22,086.75
If he works 5 days a week, that means he works 15 days. 15 * $1,051.75 =
$15776.25
Just want to confirm the answer is 4 more student because from 6 to 10 is 4
More or I’m wrong ?? Just please help me with yes or no thanks
Answer:
Yes
Step-by-step explanation:
Your answer is correct ^^
PLEASE ANSWER ASAP! NO SCAM LINKS OR REPORTED.
Answer:
Its A
Step-by-step explanation:
Standard equation: y=mx+b
x+y=0
-x -x
y=-x+0
What is the slope of the line that passes through the points (1, -2) and (3, -5)?
A 2/7
B 7/2
C -2/3
D -3/2
Which is a true statement based on the box plots below?
I WILL GIVE BRAINELY BECAUSE I NEED THIS DONE FAST BY TODAY
Question:
Which is a true statement based on the box plots below?
Answer:
It is C because the interquartile range is larger than the other one.
Hope This Helps :)
Select ALL TRUE statements about Linear Functions:
Group of answer choices
The degree of the function is one.
The y values change by a common difference.
The graph is a straight line.
Vertex form is used for graphing.
Step-by-step explanation:
The degree of the function is one: Correct
The y values change by a common difference: incorrect
The graph is a straight line: Correct
Vertex form is used for graphing: Incorrect
Hope that helps :)
What is the range of y=4sin(x)-2
Answer:
According to me it should be -6 [tex]\leq[/tex] y [tex]\leq[/tex] 2.
Step-by-step explanation:
Professor Gym conducts a study in which he determines that there is a correlation of +1.32 with 15 degrees of freedom between the speed of a dodge ball and the welt inflicted on the arm of the dodge ballers. He has now come to you for help with interpreting his results. What can you tell him?
Answer:
Formula
r =\frac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}
r = correlation coefficient
x_{i} = values of the x-variable in a sample
\bar{x} = mean of the values of the x-variable
y_{i} = values of the y-variable in a sample
\bar{y} = mean of the values of the y-variable
now try btw use a calcutator
What is the name of the object pictured below?
Answer:
b
Step-by-step explanation:
Answer: D) KJ
Step-by-step explanation:
The object shown is a ray. It has a fixed starting point, but does not have an endpoint.
P=(L+B), then B=_____?
Answer:
P = L+B
B = P-LHope it helps
are these correct???
Answer:
They are all correct.
Step-by-step explanation:
1.
1/2(b)(h)
1/2(4)(6)
1/2(24)
12
2. l x w
7 x 5
35
3. (b)(h)
(8)(4)
32
56 + 72 = ( + )
help plz
Answer:
128 = +
Step-by-step explanation:
56 + 72 = 128 (+)
A recipe for 1 batch of cookies calls for 3/4 cup of flour. How much flour is required to bake 1 1/2 batches of cookies?
Answer:
1 1/8 cups of flour are required to bake 1 1/2 batches of cookies.
Step-by-step explanation:
Given that a recipe for 1 batch of cookies calls for 3/4 cup of flour, to determine how much flour is required to bake 1 1/2 batches of cookies, the following calculation must be performed:
3/4 = 0.75
1/2 = 0.5
1 = 0.75
1.5 = X
1.5 x 0.75 / 1 = X
1.125 = X
0.125 = 1/8
Thus, 1 1/8 cups of flour are required to bake 1 1/2 batches of cookies.
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!!
Evaluate f^-2 g for f = 3 and g = 27.
a) 9
b) 1/3
c) 3
(3)^-2 (27)
the answer is C) 3
Someone actually help me w this ☝
Answer
Sorry If this is not correct, but I believe you keep the X varriable the same and multiply the Y varriable by 4. This means it will move to the right on the grid.
New coordinates: G(3,4) T(1,4) B(3, 20)
I can't figure this problem out- Please help me
Answer:
68 in^2
Step-by-step explanation:
the shape is a trapezoid
A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs
Characteristics of a trapezoid
It has 4 vertices and edges
If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram
Area of a trapezoid = x (sum of the lengths of the parallel sides) x height
the dimension of the height is not given. We have to determine the value of the height using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
10² = 6² + height²
100 = 36 + height²
height = 64
the square root of 64 is 8
the height is 8
1/2 x (8 + 9) x 8 = 68in^2
