The diameter of a large lawn ornament in the shape of a sphere is 16 inches. What is the approximate volume of the ornament? Use 3.14 for (PIE SYMBOLE) Round to the nearest tenth of a cubic inch.

Answers

Answer 1

[tex]\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\qquad \begin{cases} r=radius=\frac{diameter}{2}\\ ----------\\ diameter=16\\ r=\frac{16}{2}=8 \end{cases}\implies V=\cfrac{4\pi 8^3}{3}[/tex]

Answer 2

Answer:

2143.6 in

Step-by-step explanation:

Related Questions

A chocolate bar measures 40 mm wide, 80 mm long, and 5 and 1 over 2 mm high. Will’s Wrapping Company is making a wrapper to cover the chocolate bar. Use the correct net and determine how much paper will be needed to make the wrapper

Answers

The amount of the wrapper that is needed in order to wrap completely the chocolate bar is equal to the surface area of the bar.

The surface area of the rectangular prism is calculated through the equation,
SA = 2LW + 2WH + 2LH

Substituting the known values,

SA = (2)(80 mm)(40 mm) + 2(40 mm)(5.5 mm) + 2(80 mm)(5.5 mm)
SA = 6400 mm² + 440 mm² + 880 mm²
SA = 7720 mm²

Thus, the least area needed to completely cover or wrap the chocolate bar is 7720 mm².

Answer:

Will’s Wrapping Company needs 7,720 mm of paper to wrap the chocolate bar.

To make lemonade, you used one gallon of water, four quarts of lemon juice, and 32 ounces of honey. How much lemonade did you make?

Answers

We know that 1 gallon = 4 quarts and 1 quart = 32 ounces.
We have 4 quarts of lemon and it is 1 gallon ( and we also have 1 gallon of water ). Also we have 32 ounces of honey, which is 1 quart more.
4 quart + 4 quart + 1 quart = 9 quarts = 2 gallons 1 quart
Answer:
There is 9 quarts or 2 gallons and 1 quart of lemonade.

Emily is observing the velocity of a cyclist at different times. After four hours, the velocity of the cyclist is 14 km/h. After nine hours, the velocity of the cyclist is 4 km/h.

Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times. Show your work and define the variables used. (5 points)

Part B: How can you graph the equations obtained in Part A for the first 10 hours? (5 points)

Answers

Assume that Emily starts from rest so that the velocity is zero at 0 hours.

Define the function v(t) for velocity in km/h, and t in hours.

Part A
From t=0 to t=4, v changes from 0 to 14.
Let v(t) = mt + b
The slope is
m = 14/4 = 3.5, and the y-intercept is
b = 0.
Therefore
v(t) = 3.5t, for 0 ≤ t ≤ 4

Fromt=4 to t=9, changes from 14 to 4.
Let v(t) = mt + b
The slope is
m = (4 - 14)/(9 - 4) = -2
Therefore
v = -2t + b
When t=4, v=14, therefore
14 = -2*4 + b = -8 + b
22 = b
v(t) = -2t + 22, for 4 < t ≤ 9.

Answer:
The equation for the velocity is
v(t) = 3.5t, 0 ≤ t ≤ 4
= -2t + 22, 4 < t ≤ 9

Part B
The equation for velocity is a piecewise function that is graphed as shown below. If we assume that the second part of the equation is valid at t=10, then
v(10) = -2*10 + 22 = 2 km/h

The perimeter of a rectangle is 42 m. the length of the rectangle is 3 m more than twice the width. find the dimensions of the rectangle.

Answers

42/2 = 21

21 = w +2w+3

21 = 3w +3

18 =3w

w = 18/3 = 6

width is 6

length = 6x2=12+3 = 15

6+6+15+15 = 42

width = 6 m

length = 15 m

200 gallon tank fills at 3 gallons/minute and loses 2 gallons/minute how long does it take to fill up

Answers

it fills at 3 gallons per minute, but loses 2 gallons per minute

3-2 =1, so it fills at 1 gallon per minute

200 gallons at 1 gallon per minute = 200 minutes,

200/60 = 3 hours and 20 minutes

A card is chosen at random from a standard deck of 52 playing cards. What is the probability that the chosen card is a jack or a queen?

Answers

since there are 4 jacks and 4 queens in a deck, there are a total of 8 jacks and queens in 52 cards. this translates to 8/52, ( simplified 2/13 ) or 15%.

Please HELP
1-) Solve the equation using the Properties of Equality.

11 − c = −17
2-)Solve the equation using the Properties of Equality.
1/2y + 1/5=1/2

Answers

Problem 1:
11-c = -17
First, we need to isolate the term with the variable. We can simply do that by subtracting 11 from both sides as follows:
11-11-c = -17-11
-c = -28
Then, we will multiply both sides by -1 to get the positive value of c as follows:
-c x -1 = -28 x -1
c = 28

Problem 2:
1/2 y + 1/5 = 1/2
First, we need to isolate the term with the variable by subtracting 1/5 from both sides as follows:
1/2 y = 1/2 - 1/5 = 3/10
Then, we will get rid of the coefficient in the term with variable by dividong both sides with 1/2, this will give the following output:
y = 3/5

what would be the measure of angle DGF, if segment DG is a bisector of angle G

30 degrees.60 degrees.90 degrees.None of the choices are correct.

Answers

check the picture below.

a bisector, means, it "cuts in two equal halves".

lady runs 20 miles in 4 hours. write an equation representing the direct relationship between distance and time

Answers

d=rt
20=40t
divide by 20
t=2
d=10

Find the midpoint of the segment below

Answers

1.
If we are given 2 points A(a, b) and B(c, d),

the midpoint M, of segment AB has coordinates:

[tex]M_A_B=( \frac{a+c}{2} , \frac{b+d}{2} )[/tex]

2.
We are given the points A(2, 3) and B(10, 3)

the midpoint of AB, is given by the above formula:

[tex]M_A_B=( \frac{2+10}{2} , \frac{3+3}{3} )=(6, 3)[/tex]

3.
Remark, since the segment is horizontal, that is the y-coordinate of both points is 3, the y coordinate of the midpoint will also be 3.

While the x coordinate is still found by [tex]\frac{2+10}{2}[/tex]

Answer: (6, 3)

Practice writing linear equations in different forms. Line AB goes through the points A (0, –4) and B (6, 2). Which equation represents line AB? y – 4 = 3x y – 2 = 3(x – 6) y + 4 = x y + 6 = x - 2

Answers

(0,-4)(6,2)
slope = (2 - (-4) / (6 - 0) = 6/6 = 1

y = mx + b
slope(m) = 1
(0,-4)..x = 0 and y = 4
sub and find b
4 = 1(0) + b
4 = b

equation is : y = x + 4...or x - y = -4
or y + 4 = 6(x - 0) ...or y - 2 = 6(x - 6)

the answer is c . y + 4 = x

HELP
If f(x)=-6x+12, then f^-1(x)=?

Answers

The inverse is (x-12)/-6

Find the measure of an angle whose supplement is 9 times the measure of its complement

Answers

if the angle is x , then

180 - x = 9(90-x)
180-x = 810 - 9x
8x = 630
x = 78.75 degrees

The equation is 180 - x = 9 (90 - x).Then the measure of the angle will be 78.75 degrees.

What is an angle?

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

Let 'x' be the angle. Then the equation is given as,

180 - x = 9 (90 - x)

180 - x = 810 - 9x

8x = 630

x = 78.75 degrees

The measure of the angle will be 78.75 degrees.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ5

A square prism has a base length of 5 m, and a square pyramid of the same height also has a base length of 5 m. Are the volume the same?

Answers

No. the square prism has volume of 5x5xheight
The square pyramid has a volume of
5x5xheight/3

0.43 is 10 times as mush as what

Answers

The correct answer is 0.043. Thanks for asking and have a great day!

The number that is 10 times less than 0.43 is 0.043, found by dividing 0.43 by 10.

To find the number that 0.43 is 10 times as much as, we need to divide 0.43 by 10. This is the same as multiplying by 10 raised to the power of -1, which is a division by 10.

The operation looks like this:

0.43*10^{-1} = 0.043.

Therefore, 0.43 is 10 times as much as 0.043

What is the solution set of the following equation? 3x2 - 6x = 0

Answers

The solutions are x=0 and x=2 because you have to find the gcf first and factor it. The gcf is 3x so, the factor is 3x(x-2)=0. When you solve that you get x=0 and x=2 for the solutions. 3x=0 divide both sides by 3 and you get x=0 and x-2=0 add 2 on both sides and you get x=2. Thanks for letting me help you.

PLEASE HELP!!!
How can one thirdx − 2 = one fourthx + 11 be set up as a system of equations?

3y − x = −6
4y − x = 44

3y + x = −6
4y + x = 44

3y − 3x = −6
4y − 4x = 44

3y + 3x = −6
4y + 4x = 44

Answers

y=1/3x-2
3y=x-6
3y-x=-6
y=1/4x+11
4y=x+44
4y-x=44

Answer: Hello!

we have that:

one third x − 2 = one fourth x + 11

this means:

(1/3)x - 2 = (1/4)x + 11

if this are equal numbers, we can write it as:

(1/3)x - 2 = y = (1/4)x + 11

now we have the system of equations:

(1/3)x - 2 = y

(1/4)x + 11 = y

if we "simplify" the rational therm in each equation, we get:

3*(1/3)x - 3*2 = 3y

x - 6 = 3y

and

4*(1/4)x + 4*11 = 4y

x + 44 = 4y

Then our system of equations is:

x - 6 = 3y

x + 44 = 4y

Now we can subtract x in each side of both equations:

-6 = 3y - x

44 = 4y - x

Then the right option is the first one.

3y - x = -6

4y - x = 44

A polygon with 12 sides is called a/an

Answers

In geometry, a dodecagon or 12-gon is any twelve-sided polygon.

hope this helps!

A polygon with 12 sides is called a dodecagon.

For the polynomial below, what is the coefficient of the term with the power of 3?

x^3+1/3x^4+6x+5

A. 6
B. 5
C. 0
D. 1

Answers

the answer is
D.1

because even though there is not a number in front of X, we are to assume it is 1.

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

[tex]x^3+\frac{1}{3}x^4+6x+5[/tex]

Coefficient of the terms are as follows:

Coefficient of x³ is 1

Coefficient of x⁴ is [tex]\frac{1}{3}[/tex]

Coefficient of x is 6

Constant term is 5

Hence, coefficient of the term with the power of 3 is 1.

Therefore, Option 'D' is correct.

In a 45-45-90 triangle, the length if the hypotenuse is 11. Find the length of one of the legs

Answers

the answer is B, picture shows how to solve it although the answer is written slightly different

Answer:

[tex] \frac{11\sqrt{2}}{2}[/tex]

Step-by-step explanation:

In a 45-45-90 triangle, the length if the hypotenuse is 11

WE use the common ratio of 45-45-90 degree triangle

common ration is x: x: x sqrt(2)

x sqrt(2) is the length of the hypotenuse

[tex]x\sqrt{2} = 11[/tex]

Divide by sqrt(2) on both sides

[tex]x= \frac{11}{\sqrt{2}}[/tex]

To rationalize the denominator, multiply by sqrt(2) at the top and bottom

sqrt(2) * sqrt(2) = 2

[tex]x= \frac{11\sqrt{2}}{2}[/tex]

The sum of three interior angles of a convex Pentagon is 420°.if the remaining angles are equal how much does each angle measure?

Answers

The sum of interior angles of any polygone is:

Sum of angles = (n-1)x180°, where n is the number of sides. For the pentagone n = 5, then Sum of angles of a PENTAGONE = (5-1)x180° = 720°.
Already the sum of 3 angles is 420°, the measure of the 2 remaining one is
720° - 420° = 300°. Since the remaining angles are equal, hence each one will have a measure of 300°/2 = 150°

Each one of the remaining angles measures 60°.

How much does each angle measure?

We know that the sum of the interior angles of a closed figure of n sides is given by:

(n - 2)*180°.

A pentagon has 5 sides, so we use n = 5 and we get:

(5 - 2)*180° = 540°

Now we know that 3 angles add up to 420°.

Then the other two angles must add up to:

540° - 420° = 120°

And those two angles are equal, then each one measures:

120°/2 = 60°.

If you want to learn more about angles, you can read:

https://brainly.com/question/17972372

10-2v=-5-50
+5 +5
10-3v=-50
+3 +3
10=47

Answers

hello :
10-2v=-5-50
add : 5
10 - 2v + 5 = 5 - 5 - 50
15 -2v = -50
add : -15
-15 +15 -2v = -15 -50
-2v =-65
v = 65/2

How many values of θ will satisfy tan-1 0 = θ when 0º<θ<90º?

Answers

We want to satisfy
tan⁻¹ 0 = θ when 0° < θ < 90°.

The restriction on θ places the angle in the 1st quadrant.
When tan θ = 0, θ = 0°, 180°, 360°, ...
If θ >= 0, then a solution exists in the 1st quadrant.
Because of the requirement θ>0, no answer satisfies the given equation.

Answer: None

which of the following fractions will convert to repeating decimals?

a. 1/3
b. 1/6
c. 1/4
d. 3/8
e. 1/5

Answers

Well, that's odd. both a and b are repeating decimals.

a. 1/3 = 0.33333333
b. 1/6 = 0.16666666
c. 1/4 = 0.25
d. 3/8 = 0.375
e. 1/5 = 0.2

Use the information in the figure. If m∠F = 76°, find m∠E

Answers

52 because the whole triangle is 180 if you subtract that by 76 you get 102 since both sides equal each other the angles equal each other so you devide that by 2 you get 52

Answer:

m∠E=52°.

Step-by-step explanation:

The given triangle has two sides equal. In isosceles triangle two sides are equal and base angles are equal.m∠E=m∠D.

Let m∠D=m∠E= x

The sum of angles in any triangle is 180°.

Or,

x+x+76= 180

Addling like terms :

2x+76=180

Subtracting 76 both sides,

2x=104.

Dividing by 2:

x=52.

m∠E= 52°.

Ac=3x+6 and CD=2x+14 what is the value of x

Answers

AC = CD

And since the problem gave us two equations to use we will substitute them into the previous statement.

3x + 6 = 2x + 14
We now simplify with algebra and I will show every step.

3x + 6 = 2x + 14
-2x = -2x

x + 6 = +14
-6 = -6

x = 8

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

We have been given that [tex]AC=3x+6[/tex] and [tex]CD=2x+14[/tex].

To solve for x, we are assuming that C is the midpoint of segment AD and we will equate both expressions as:

[tex]3x+6=2x+14[/tex]

[tex]3x-2x+6=2x-2x+14[/tex]

[tex]x+6=14[/tex]

[tex]x+6-6=14-6[/tex]

[tex]x=8[/tex]

Therefore, the value of x is 8.

Which of the following is an identity? A. sin2x sec2x + 1 = tan2x csc2x B. sin2x - cos2x = 1 C. (cscx + cotx)2 = 1 D. csc2x + cot2x = 1

Edit: no one answered but I figured out that the right answer is A

Answers

There are three 'Pythagorean' identities that we can look at and they are

sin²(x) + cos²(x) = 1
tan²(x) + 1 = sec²(x)
1 + cot²(x) = csc²(x)

We can start by checking each option to see which one would give us any of the 'Pythagorean' identities as its simplest form

Option A:

sin²(x) sec²(x) + 1 = tan²(x) csc²(x)

Rewriting sec²(x) as 1/cos²(x)
Rewriting tan²(x) as sin²(x)/cos²(x)
Rewriting csc²(x) as 1/sin²(x)

We have

[tex]sin^{2}(x)[ \frac{1}{ cos^{2}(x) }]+1=[ \frac{ sin^{2}( x)}{ cos^{2} (x)}][ \frac{1}{ sin^{2}(x) } ][/tex]
[tex] [\frac{ sin^{2}(x) }{ cos^{2}(x) } ]+1= \frac{1}{ cos^{2}(x) } [/tex]
[tex] tan^{2}(x)+1= sec^{2}(x) [/tex]

Option B:

sin²(x) - cos²(x) = 1

This expression is already in the simplest form, cannot be simplified further

Option C:

[ csc(x) + cot(x) ]² = 1

Rewriting csc(x) as 1/sin(x)
Rewriting cot(x) as cos(x)/sin(x)

We have

[tex][ \frac{1}{sin(x)}+ \frac{cos(x)}{sin(x)}] ^{2} =1[/tex]
[tex] \frac{1}{sin^2(x)}+2( \frac{1}{sin(x)})( \frac{cos(x)}{sin(x)})+ \frac{cos^2(x)}{sin^2(x)}=1 [/tex][tex]csc^2(x)+2csc^2(x)cos(x)+cot^2(x)=1[/tex]

Option D:

csc²(x) + cot²(x) = 1

Rewriting csc²(x) as 1/sin²(x) and cot²(x) as cos²(x)/sin²(x)

[tex] \frac{1}{sin^2(x)}+ \frac{cos^2(x)}{sin^2(x)}=1 [/tex]
[tex] \frac{1+cos^2(x)}{sin^2(x)} =1[/tex]
[tex]1+cos^2(x)=sin^2(x)[/tex]
[tex]1=sin^2(x)-cos^2(x)[/tex]

from our working out we can see that option A simplified into one of 'Pythagorean' identities, hence the correct answer

Answer: A is the correct answer.

Step-by-step explanation:

Just did the question, followed OP's advice since no one answered. Good luck.

Simplify the sum. (8u3 + 8u2 + 6) + (4u3 – 6u + 3)

Answers

-Hai There! :3

-Your answer and work for the question above should look like this:

8u3+8u2+6+4u3−6u+3
=8u3+8u2+6+4u3+−6u+3
=8u3+8u2+6+4u3+−6u+3
=(8u3+4u3)+(8u2)+(−6u)+(6+3)
=12u3+8u2+−6u+9

-Remember to mark this answer as Brainliest! Glad I could help!

A҉z҉u҉i҉e҉x҉

Answer:

[tex]12u^{3}+8u^{2}-6u+9[/tex]

Step-by-step explanation:

we have

[tex](8u^{3}+8u^{2} +6)+(4u^{3}-6u+3)[/tex]

Group terms that contain the same variable

[tex](8u^{3}+4u^{3})+8u^{2}-6u+(6+3)[/tex]

Combine like terms

[tex](12u^{3})+8u^{2}-6u+(9)[/tex]

[tex]12u^{3}+8u^{2}-6u+9[/tex]

Find the value of x in the equation √ x + 5 = √ x + 45.

Answers

there is no solution since 5 doesn't equal 45

You roll a six sided die and toss a coin. What is the probability of rolling an odd number and then getting heads?

Answers

P(O,T)=(3/6)(1/2)

P(O,T)=1/4

Hello there! Thank you for asking your question here at Brainly! I will be assisting you with answering your question, and will teach you how to tackle it on your own in the future.

So, let's take a look at our question.
"You roll a six sided die and toss a coin. What is the probability of rolling an odd number and then getting heads?"

First, we need to understand what we're dealing with, and how to handle it.
Let's tackle these individually, rather than doing it all at once and getting confused/stuck.
We roll a six sided die, which is numbered from 1 to 6. "What is the probability of rolling an odd number?"
Well, let's count how many odd numbers there are from 1 to 6.
1, 3, 5; We have three odd numbers on our six sided die.
Let's set that up as a fraction, [tex] \frac{3}{6} [/tex]
However, we can simplify it into simpler terms - divide both numbers by 3.
3/3 = 1
6/3 = 2
We now have our simplified fraction, [tex] \frac{1}{2} [/tex]

Now, let's focus on the other half of the problem.
"You flip a coin. What's the probability of landing on heads?"
Well, a coin only has two sides - heads and tails - which means we have 1/2 chances of landing on heads or tails generally.

Since the question asks for the probability of an odd number and landing on heads, we need to multiply our fractions.

We have these two fractions:
[tex] \frac{1}{2} [/tex] * [tex] \frac{1}{2} [/tex]
Multiply them.
[tex] \frac{1}{2} [/tex] * [tex] \frac{1}{2} [/tex] = [tex] \frac{1}{4} [/tex]

Your answer is [tex] \frac{1}{4} [/tex]

I hope this helps!

Other Questions

Read the excerpt from "Mending Wall." Spring is the mischief in me, and I wonder If I could put a notion in his head: "Why do they make good neighbours? Isn't it Where there are cows? But here there are no cows. Before I built a wall I'd ask to know What I was walling in or walling out, And to whom I was like to give offence. Something there is that doesn't love a wall, That wants it down." Now read The Pasture, also by Robert Frost. Im going out to clean the pasture spring; Ill only stop to rake the leaves away (And wait to watch the water clear, I may): I shant be gone long.You come too. Im going out to fetch the little calf Thats standing by the mother. Its so young, It totters when she licks it with her tongue. I shant be gone long.You come too. Which best accounts for the different views of spring expresse Martin deposits $200 in a savings account that earns 5% annual interest. four years later, cary deposits $200 in an account earning the same interest. let m represent the balance in martins account and let c represent the amount of money in carys account. choose the pair of expressions that describe the accounts y years after martin opened his account. martin: 200(1.05)y cary: 200(1.05)y+4 martin: 200(1.05)y+4 cary: 200(1.05)y4 martin: 200(0.05)y cary: 200(0.05)y4 martin: 200(1.05)y cary: 200(1.05)y4 Which creation of the second industrial revolution negatively affected skilled workers? Find an equation in standard form for the hyperbola with vertices at (0, 10) and asymptotes at y = 5/6x. According to ruth schwartz cowans 1983 research, time-saving devices like the vacuum cleaner and washing machine have actually increased the amount of time women spend on housework. what explanation is given for her finding? All of the following can trigger an asthma attack except what Why did sports become popular at the turn of the 20th century? Using the formula in model 1, choose the correct answers for the new balance and amount of interest earned in the following compound interest problem. $1,050 at 6%, for 25 years, compounded annually. Total Amount = $ Interest Amount =$ Which of the following have numerous hair-like projections from their flagella?diatomsgolden algaewater moldsall of the above What is the temperature in mars ? Alcohol use, for either the driver or the pedestrian, was reported in almost __________ of all traffic crashes involving pedestrian fatalities. HELP PLEASEEE I WILL GIVE BRAINLIEST ANSWER!!!!!!!!!! The dot plot shows how many attempts it took for each student to complete a puzzle:Is the median or the mean a better measure of center for these data and why?Mean, because the data are skewed and there are outliers Mean, because the data are symmetric and there are no outliers Median, because the data are skewed and there are outliersMedian, because the data are symmetric and there are no outliers Luisa knit a rectangular scarf that measures 4 feet by 1 foot. She wants to use the remaining 6 square feet of fabric to create a border around the scarf.Which equation can she use to find the required width of the border x? Your goal is to save at least $240.00 over the next 4 week. How much money must you save each week in order to meet that goal? Write and solve an inequality The idea that love conquers all is an example of a An object floats on water with 80% of its volume below the surface. the same object when placed in another liquid floats on that liquid with 72% of its volume below the surface. determine the density of the unknown fluid. Why is world population distribution uneven what factors contribute to this uneven distribution? Jagged, uneven phrases, wide melodic leaps, great rhythmic variety, and an extended role for the soloist are typical of what idiom? The main purpose of a service panel in a house is to A. keep the meter working correctly. B. connect the service drop to the house. C. provide automatic circuit protection and prevent fires. D. keep electrical hazards localized. The silica tetrahedron that forms the backbone of all the silicate minerals is composed of silicon and what other element? Steam Workshop Downloader