Answer:
Correct option: Second one -> 141.3 cm3
Step-by-step explanation:
The volume of "snow" is the sum of the half sphere volume and the cone volume.
The volume of the half-sphere is given by the formula:
V = (2/3) * pi * radius^3
If the half sphere has a radius of 3 cm, we have that:
V1 = (2/3) * pi * 3^3 = 56.5 cm3
The volume of the cone is given by:
V = (1/3) * pi * radius^2 * height
If the radius is 3 cm and the height is 9 cm, we have:
V2 = (1/3) * pi * 3^2 * 9 = 84.8 cm3
So the final volume is:
V = V1 + V2 = 56.5 + 84.8 = 141.3 cm3
Correct option: Second one
The volume of a cylinder is 180 cubed meters. What is the volume of a cone with the same radius and height as the cylinder?
Answer:
60 cubic meters will be the volume of such cone.
Step-by-step explanation:
Formula for volume of a cylinder:
[tex]V = \pi r^{2} h ...... (1)[/tex]
Where [tex]r[/tex] is the radius of base of cylinder
and [tex]h[/tex] is the height of cylinder
V = 180 cubic meters
Formula for volume of a cone:
[tex]V' = \dfrac{1}{3}\pi R^{2} H ...... (2)[/tex]
Where [tex]R[/tex] is the radius of base of cone
and [tex]H[/tex] is the height of cone
Now, it is given that height and radius of cone are equal.
[tex]r = R\\h =H[/tex]
Putting the values in equation (2):
[tex]V' = \dfrac{1}{3}\pi r^{2} h[/tex]
Using equation (1):
[tex]V' = \dfrac{1}{3} \times V[/tex]
Putting V = 180 cubic meters
[tex]\Rightarrow V' = \dfrac{1}{3} \times 180\\\Rightarrow V'=60 \text { cubic meters}[/tex]
Hence, 60 cubic meters will be the volume of such cone.
What is the area of this figure?
A. 3 ft2
B. 4 ft2
C. 9 ft2
D. 13 ft2
Answer:
D
Step-by-step explanation:
Split the shape into 2 figures.
I would split it so that there is a square and a larger rectangle.
Find the dimensions.
Square = 1 x 1
Rectangle= 4 x 3
Add the areas!
1+12
13!
Answer:
A^figure = 13ft
Step-by-step explanation:
A^figure = A^square + A^rectangle
A^figure = bh + bh
A^figure = 1 x 1 + 4 x 3
A^figure = 1 + 12
A^figure = 13ft
25t-13=-24t-30 for t
Answer:
t = -17/49
Step-by-step explanation:
25t-13=-24t-30
Add 24t to each side
25t+24t-13=-24t+24t-30
49t-13=-30
Add 13 to each side
49t-13+13=-30+13
49t = -17
Divide each side by 49
49t/49 = -17/49
t = -17/49
The right answer is - 17/49
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Describe each polynomial expression:
use example form ^^
Answer:
1) It is a qiadratic binomial which has 3 as coefficient on the quadratic term and 2 as the coefficient on the linear term
2) It is a quadratic trinomial which has 2 as coefficient in the quadratic term , -5 as the coefficient in the linear term & 3 as the coefficient of the constant term
3) It is a linear polynomial with no constant term and is a monomial ....it has 6 as coefficient in the linear term
150 + 900=
I'm just trying to figure out how this question asking works as I have only answered questions
Answer: 1050 is the answer? Do u need a calculator
Step-by-step explanation:
slove for x.
2x+34=64
Step-by-step explanation:
2x +34 =64
2x=30
X=30/2
X=15
Answer:
[tex] \boxed{x = 15} [/tex]
Step-by-step explanation:
[tex] = > 2x + 34 = 64 \\ \\ = > 2x = 64 - 34 \\ \\ = > 2x = 30 \\ \\ = > x = \frac{30}{2} \\ \\ = > x = 15[/tex]
In standard notation, 208.06 is written as
Answer:
208.06
Step-by-step explanation:
208.06 is already in standard notation. If you were talking about scientific notation, it would be 2.0806×10².
Which of the following best describes the type of probability used in the
scenario below?
A bag has 10 red marbles, 7 blue marbles, and 12 yellow marbles. The probability of drawing a yellow at random is 12/29.
A. Random
B. Empirical
C. Unpredictable
D. Theoretical
Answer:
D. Theoretical
Step-by-step explanation:
The probability is based on the number of marbles in the bag. It is the theoretical probability. It is the likelihood that a yellow marble will be picked
A unicycle wheel has a diameter of 20 inches. How many inches will the unicycle travel in 8 revolutions? Use π = 3.14 and round your answer to the nearest hundredth of an inch.
Answer:
502.40 inches
Step-by-step explanation:
First we need to find the circumference of the wheel, which is given by pi times the diameter:
C = (3.14)(20) = 62.8 inches
That's how far the unicycle will travel in 1 revolution, so from there just multiply by 8
D = (62.8)(8) = 502.40 inches
The unicycle travel 502 inches in 8 revolutions
What is a circumference of a circle?The circumference is the perimeter of a circle. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment.
Given that, a unicycle wheel has a diameter of 20 inches.
To find that how many inches will the unicycle travel in 8 revolutions, we will multiply the circumference to the asked number of revolutions.
Circumference = π × diameter
= 3.14 × 20 = 62.8 inches
The unicycle travel in 8 revolutions = 62.8 × 8 = 502.4 inches
In nearest hundred = 502 inches
Hence, the unicycle travel 502 inches in 8 revolutions
For more references on circumference, click;
https://brainly.com/question/28757341
#SPJ5
Anyone?? :)) please help
Answer:
see explanation
Step-by-step explanation:
Given M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition r = 4 when M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of proportion
(a)
when r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
when M = 540 , then
540 = 2.5r³ ( divide both sides by 2.5 )
216 = r³ ( take the cube root of both sides )
[tex]\sqrt[3]{216}[/tex] = r , thus
r = 6
jean jogs 2/3 km at 12 km and then walks 1 1/3 km at 8km/h.Find her average for the whole journey.
Answer:80mi/hr * 3.5hrs
I need help ASAP can someone please help me right away.
Answer:
60 degrees.
Step-by-step explanation:
We know that we can rotate the image by a total of 360 degrees until we reach the original point again.
To rotate the image to a point where the image looks the same, we need to take a look at how we can do this. We want to line up the image with the gap between the two white semicircles. There are a total of 6 of these gaps:
360/6 = 60 degree rotations will make the image the same.
I hope this helps!
what is the domain of the function (-2 ,3) (3,9) (4,12) (2,3)
Answer:
{-2,3,4,2}
Domain is basically the x values
Answer:
domain = {-2,3,4,2}
Step-by-step explanation:
domain is related to x coordinate of the point
Aisha and brendan are watching a hot air balloon. the angle of elevation for aisha is 65 degrees. what is the angle of elevation for brendan?
Answer:
The angle of elevation for Brendan is 40°
Step-by-step explanation:
To find the angle of elevation of Brendan, we will follow the steps below;
we can use the sine formula to find the angle of elevation of Brendan since we were given two sides and one angle
Using the sine rule;
[tex]\frac{sin A}{a}[/tex] = [tex]\frac{sin E}{e}[/tex]
From the diagram above, angle A = 65° side a = 155 m side e=110 m
angle E is what we are to find
we can now proceed to insert the values into the formula
[tex]\frac{sin 65}{155}[/tex] = [tex]\frac{sin E}{110}[/tex]
cross-multiply
155 sinE = 110 sin65°
Divide both-side of the equation by 155
sin E = 110 sin65° / 155
sin E =0.64319
Take the sin⁻¹ of both-side of the equation
sin⁻¹ sin E = sin⁻¹ (0.64319)
At the left-hand side of the equation sin⁻¹ will cancel-out sin leaving us with just E
E = sin⁻¹ (0.64319)
E= 40°
The angle of elevation for Brendan is 40°
4x - {-19x + (-13x - (-5x + 3)]}
Enter the correct answer.
Answer:
=15x−3
Step-by-step explanation:
Let's simplify step-by-step.
4x−−19x−13x−(−5x+3)
=4x+19x+−13x+5x+−3
Combine Like Terms:
=4x+19x+−13x+5x+−3
=(4x+19x+−13x+5x)+(−3)
Answer: =15x+−3
Hope this helps.
4x - {-19x + (-13x - (-5x + 3)]}
Answer:
=15x−3
Step-by-step explanation:
Let's simplify step-by-step.
4x−−19x−13x−(−5x+3)
=4x+19x+−13x+5x+−3
Combine Like Terms:
=4x+19x+−13x+5x+−3
=(4x+19x+−13x+5x)+(−3)
Answer: =15x+−3
Hope it's helpful please...?
I need help...........
Answer: a
Step-by-step explanation:
The lineab bisects bi equally
The width of rectangle is 7 less than twice the length. If the perimeter of the rectangle is 43.6 inches, what is the area of the rectangle?
Answer:
29.49 square inches
Step-by-step explanation:
Let the length of the rectangle be x inches
Therefore, width = (2x - 7) inches
Perimeter of rectangle =2( length + width)
therefore,
43.6 = 2 ( x + 2x - 7)
43.6/2 = 2 ( 3x - 7)
21.8 = 6x - 14
21.8 + 14 = 6x
6x = 35.8
x = 35.8/6
x = 5.97 inches
Length = 5.97 inches
width = 2*5.97-7 =11.94 - 7 = 4. 94 inches
Area of rectangle
= Length * width
= 5.97*4.94
=29.4918
= 29.49 square inches
Write the following numbers in order, starting from the smallest. [tex]5/11,[/tex] [tex]\sqrt{2},[/tex] [tex]45.4/100,[/tex] [tex]9/20[/tex]
Answer:
[tex]9/20,[/tex] [tex]45.4/100,[/tex] [tex]5/11,[/tex] [tex]\sqrt{2}[/tex]
Step-by-step explanation:
Convert the values into decimals.
[tex]5/11=0.45454545454[/tex]
[tex]\sqrt{2}=1.41421356237[/tex]
[tex]45.4/100=0.454[/tex]
[tex]9/20=0.45[/tex]
With decimals, it is especially important to understand place value.
[tex]0.45454545454, 1.41421356237, 0.454, 0.45[/tex]
Order from smallest to largest.
[tex]0.45, 0.454, 0.45454545454, 1.41421356237[/tex]
[tex]9/20,[/tex] [tex]45.4/100,[/tex] [tex]5/11,[/tex] [tex]\sqrt{2}[/tex]
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!
Answer:
g(x)=[tex]-2x^{2}[/tex]+1
Step-by-step explanation:
Answer:
g(x) = (x +2)² + 1
Step-by-step explanation:
original function is moved 2 units to the left and 1 unit up so
g(x) = (x-(-2))²+1
g(x) = (x +2)² + 1
Place the digits 1 through 9 in the nine
squares to form a correct addition. Can
this be done in more than one way?
Answer:
There lots of possible ways: here are some answers
219 + 348 = 567
218 + 349 = 567
129 + 357 = 486
127 + 359 = 486
271 + 593 =864
128 + 367 = 495
281 + 673 = 954
127 + 368 = 495
271 + 683 = 954
there are more answers....
Hope this helps
Decrease 220kg by 12.5%.
NEED HELPPP!
Answer:
192.5 kg
Step-by-step explanation:
220-12.5%=220*(100-12.5)/100=220*0.875= 192.5 kg
Help on both questions please? Thank you!!!!
Answer:
1. 16
2. $21.27
Step-by-step explanation:
To get the tip money, ypu multiply 18.5 to 0.15 to get 2.775. We round it to 2.77. Add this to 18.5 to get $21.27 as the answer
Aly has 59 toy cars and 17 toy trucks. Which equation can help Aly find
how many more toy cars than trucks she has?
17 = 59
59 + 17 = 0
59 - 17 = 0
0 + 59 = 17
Done
The equation is 0 + 59 = 17 which can help Aly calculate the number of more toy cars than trucks. which is the correct answer would be an option (C).
What is an equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given that Aly has 59 toy cars and 17 toy trucks.
To determine the equation can help Aly calculate number of more toy cars than trucks she has
We have to subtract 17 from both sides and add 0
0 + 59 = 17
0 + 59 - 17 = 42
Therefore, the equation is 0 + 59 = 17 which can help Aly calculate the number of more toy cars than trucks.
Hence, the correct answer would be option (C).
Learn more about the equations here:
brainly.com/question/10413253
#SPJ2
the last question is confusing me ive done a and b put all my points in please help im confused 5 star rating and a thanks will also be included
Answer:
Step-by-step explanation:
a) negative correlation
b) diagram c
c) diagram b because its erm no correlation its scattered
PUT ME AS THE BRAINIEST
Simplify fully
13/2x-5/x
Answer:
so the answer is 3/2x
Step-by-step explanation:
=[tex]\frac{13}{2x}[/tex]-[tex]\frac{5}{x}[/tex]
taking LCM
=[tex]\frac{13}{2x}[/tex]-[tex]\frac{5*2}{x*2}[/tex]
=[tex]\frac{13}{2x}[/tex]-[tex]\frac{10}{2x}[/tex]
=[tex]\frac{3}{2x}[/tex]
i hope it will help you
Fractions are written as a ratio of two or more integers.
Given the expression
13/2x - 5/x
Find the LCM
From the given fraction, the LCM is 2x
= 13/2x - 5/x
= 13-2(5)/2x
= 13-10/2x
= 3/2x
Hence the difference in the fraction given in question is 3/2x
Learn more here: brainly.com/question/1332448
Brainliest question 100 PTS: please please help me now plz and plz give the right answer
Answer:
inside the circle
Step-by-step explanation:
The radius is sqrt(38)
The distance from the center to the point is
d = sqrt( ( y2-y1) ^2 + ( x2 -x1) ^2)
= sqrt( ( 1 - 0)^2 + ( 6 - 0 ) ^2)
= sqrt( (1^2 + 6^2)
= sqrt( 1+36)
= sqrt(37)
This is less than the radius so the point is inside the circle
Answer: its number A
Step-by-step explanation:
two integers have a sum of 2, and a difference of 12. find the two integers
==============================================================
Explanation:
Let x and y be the two integers where x > y.
The two integers have a sum of x+y and this is equal to 2, so x+y = 2. Solve for y to get y = -x+2
The two integers also have a difference of 12, so x-y = 12. Plug in y = -x+2 and solve for x
x-y = 12
x - ( y ) = 12
x - ( -x+2 ) = 12 ... replace y with -x+2
x + x - 2 = 12
2x - 2 = 12
2x - 2+2 = 12+2 .... adding 2 to both sides
2x = 14
2x/2 = 14/2 .... divide both sides by 2
x = 7
Use this x value to find y
y = -x+2
y = -7+2
y = -5
--------------------------------------
As a check,
x+y = 7+(-5) = 7-5 = 2 ... we get a sum of 2
x-y = 7-(-5) = 7+5 = 12 ... and get a difference of 12
the answers have been confirmed
Two shapes are shown below, one isosceles triangle and one rectangle. The dimensions can be represented by algebraic expressions, as shown in the diagram below. They both have the same area. Find the numerical value of the perimeter of the isosceles triangle. show full calculations please
Answer:
Perimeter of Isosceles Triangle = 16 units
Step-by-step explanation:
Area of rectangle is given by the formula;
Area = 1/2 × base × height
From the diagram, base = 6x - 6 and height = 6x - 8
Thus,Area = 1/2 × (6x - 6) × (6x - 8)
Area = (3x - 3)(6x - 8) = 18x² - 42x + 24
Secondly, area of rectangle is given by;
Area = length x breadth
So, area of rectangle in question = (6x - 9)(3x - 2) = 18x² - 39x + 18
We are told both the area of the triangle and the rectangle are the same, so let's equate both areas;
18x² - 42x + 24 = 18x² - 39x + 18
18x² will cancel out and rearranging, we have;
24 - 18 = 42x - 39x
6 = 3x
x = 6/3
x = 2
Plugging 2 for x for the height and base of the triangle, we have;
base = 6(2) - 6 and height = 6(2) - 8
Base = 6 and height = 4
So,let's find the slant height of the isosceles triangle.
Dividing the base by 2,we have; 6/2 = 3
So,using Pythagoras theorem, let the slant height be h, so we have;
h² = 3² + 4²
h² = 9 + 16
h² = 25
h = √25
h = 5
2 slant sides of isosceles triangle are the same. So perimeter = 5 + 5 + 6 = 16 units
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!
Answer:
3
Step-by-step explanation:
The degree of the given POLYNOMIAL is 3.
Because highest power is 3.
Step-by-step explanation:
3
highest power of the coefficient is 3
1.)Mr. Williams weighs 300 pounds. He went on the Subway diet and was guaranteed to lose 5 pounds per week. Write an equation that could be used to find how many weeks, w, it would take for him to weigh 150 pounds.
How many weeks would it take?
2.)The total bill for repairing Troy’s car was $527.63. He paid $210 for parts and the rest of the bill was labor. The technicians that fixed his car charge $52 per hour. Write an equation that could be used to find, t, the length of time it took to fix the car.
How long did it take to get the car fixed?
3.)You have $60 and your sister has $120. You are saving $7 per week and she is saving $5 per week. How long will it take before you and your sister have the same amount of money? Write an equation and solve.(HINT: THIS PROBLEM SHOULD HAVE THE SAME VARIABLE ON BOTH SIDES)
what is the equation and solution ?
4.)SAT Prep If the length of a rectangular parking lot is 3 times its width and its perimeter is 840 yards, what is the length of the parking lot, in yards?
Answer:
Step-by-step explanation:
1)Since he can lose 5 pounds per week, this is a linear rate. The weight is decreasing in arithmetic progression. The formula for determining the nth term of an arithmetic progression is expressed as
Tn = a + (n - 1)d
n = number of terms(weeks)
d = common difference(5 pounds)
a= first term(300 pounds)
The equation that could be used to find how many weeks, w, it would take for him to weigh 150 pounds would be
150 = 300 + (w - 1)5
150 - 300 = 5w - 5
- 150 + 5 = 5w
w = 145/5 = 29 weeks
2) t represents the number of hours used to fix the car. The cost of t hours is 52t. Total amount paid is 210 + 52t. The equation that could be used to find, t, the length of time it took to fix the car is
210 + 52t = 527.23
3) 52t = 527.23 - 210 = 317.23
t = 317.23/52
t = 6 hours
3) Let x represent the time it will take before you and your sister have the same amount of money. The amount that you would have in x weeks is 60 + 7x
The amount that you sister will have in x weeks is 120 + 5x. The equation would be
60 + 7x = 120 + 5x
7x - 5x = 120 - 60
2x = 60
x = 60/2 = 30 weeks
4) let L represent the length of the parking lot.
let W represent the width of the parking lot.
If the length of a rectangular parking lot is 3 times its width, it means that
L = 3W
Its perimeter is 840 yards. It means that
2(L + W) = 840
L + W = 840/2 = 420
Substituting, it becomes
3W + W = 420
4W = 420
W = 420/4 = 105
L = 3 × 105 = 315
Length = 315 yards