14. Find the volume of the sphere. Use 3.14 for pi and round to the nearest tenth if necessary.
6 mi
O 956.2 mi
O 886,1 mi
0
669 mi
O 904.3 mi
Answers
Answer:
Volume of the sphere is 904.3 mi³Step-by-step explanation:
Given that radius of the sphere is 6 miles. To find Volume of the sphere we will substitute the Value of radius in the given formula:
[tex] \\ \: \: \dashrightarrow { \underline{ \boxed { \pink{ \pmb{ \mathfrak {Volume_{(Sphere)} = \dfrac{4}{3} \pi r ^3 }}}}}} \\ \\ [/tex]
Substituting the required values:
[tex] \\ \: \: \dashrightarrow \sf \: \: Volume = \dfrac{4}{3} \times 3.14 \times {(6)}^{3} \\ \\ [/tex]
[tex] \: \: \dashrightarrow \sf \: \: Volume = \dfrac{4}{3} \times 3.14 \times 216 \\ \\ [/tex]
[tex] \: \: \dashrightarrow \sf \: \: Volume = \dfrac{4}{3} \times 678.24 \\ \\ [/tex]
[tex] \: \: \dashrightarrow \sf \: \: Volume = \dfrac{2712.96}{3} \\ \\ [/tex]
[tex] \: \: \dashrightarrow \sf \: \: { \underline{ \boxed{ \pink{ \pmb{ \mathfrak{Volume \approx 904.3 \: {mi}^{3} }}}}}} \\ \\ [/tex]
Hence,
Volume of the sphere is 904.3 mi³Step-by-step explanation:
Given :-
radius of sphere = 6miTo find =
Volume of sphereSolution =
Volume of sphere = 4/3 πr³
putting the known values ,
Volume = 4/3 × 3.14 × 6³ mi³
Volume = 904.32 mi³
rounding off to nearest tenth ,
Volume = 904.3 mi³
Related Questions
 Hamza decides to increase the prices of all items in his shop by 10%
a)
Work out the new price of an item normally priced at £210
b)
Work out the new price of an item normally priced at £48
Answers
Answer:
a=£231
b=£32.8
Step-by-step explanation:
get the percentage multiplied by the current price to get the increase then add the increaseto the current price
Which equation represents a circle with a center at (–3, –5) and a radius of 6 units? (x – 3)2 (y – 5)2 = 6 (x – 3)2 (y – 5)2 = 36 (x 3)2 (y 5)2 = 6 (x 3)2 (y 5)2 = 36
Answers
The equation of the circle is (x + 3)² + (y + 5)² = 36. Then the correct option is B.
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The center of a circle at (–3, –5) and a radius of 6 units. Then the equation will be given as
(x + 3)² + (y + 5)² = 6²
(x + 3)² + (y + 5)² = 36
Then the equation of the circle is (x + 3)² + (y + 5)² = 36.
More about the circle link is given below.
https://brainly.com/question/11833983
Answer:
D
Step-by-step explanation:
I did it B)
3x-2y=-3,-9x+6y=9 solve each system using elimination, state the solution and type of system.
Answers
We will see that the system of equations has infinite solutions, each of the form:
y = (3/2)*(x + 1)
How to solve the system of equations?Here we have the system:
3x - 2y = -3
-9x + 6y = 9
Notice that if we add 3 times the first equation to the second one, we get zero.
3*(3x - 2y) + -9x + 6y = 3*(-3) + 9
9x - 6y - 9x + 6y = -9 + 9
0 = 0
This actually means that both equations represent the same line, then, the "two" lines intersect in infinite points, meaning that the system of equations has infinite solutions, which are of the form:
3x - 2y = -3
2y = 3 + 3x
y = (3/2)*(x + 1)
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13729904
Mahmood Qamber and Basel Alaraibi start walking at the same point, but Mahmood walks 50 feet north while Basel walks 75 feet east. How far apart are Mahmood and Basel when they stop?
Answers
Answer:
they are about 90 feet far apart from each other
Step-by-step explanation:
Here you can use the Pythagorean theorem :
[tex]\sqrt{50^{2}+75^{2}} =\sqrt{8125}[/tex]
[tex]=90.1387818866[/tex]
what is 2.5 multiplied to ten to the three power
Answers
Answer:
the answer is 2500
Step-by-step explanation:
10 ^3 =1000
next you multiply 1000 x 2.5 = 2500
39
The school band held a fundraiser by selling books and magazines. The diagram shows that
the numbers of books Donna and Gemma each sold are proportional to the numbers of
magazines each girl sold.
DONNA
GEMMA
KEY
= 1 Book
= 1 Magazine
What is the constant of proportionality?
A
magazine per book
B books per magazine
24 - Doano reapazine
8 Doana
36 - Genma magazines
12 – Generes boole
,
book
С
3 magazines per book
D
6 books per magazine
Answers
the answer is C 3 magazines per book
How many solutions does this equation have? 6x + 9 = 3x + 9
Answers
Answer:
Step-by-step explanation:
If an equation for example is x=5, the equation has one solution. If the equation is for example 4=4, there is an infinite amount of solutions. for your problem we would simplify the equation to get:
6x+9=3x+9
6x=3x
when dividing the x's to cancel eachother out we are left with 6=3. This means we have no solutions possible.
Answer:
in every way it's possible answer is 0!!
Step-by-step explanation:
method 1:
6x-3x=9-9
3x=0
x=0/3
x=0
method 2:
0=3x-6x+9-9
0=-3x
x=0
check
6*0+9=3*0+9
9=9
proved
100 points what is the percent of change from 75 to 14 round to the nearest percent
Answers
Let's see
75-14/75×10061/75×1006100/7581.33%It takes 102 pounds of seed to completely plant a 12 -acre field. How many acres can be planted per pound of seed?
Answers
Answer:
8.5 acres
Step-by-step explanation:
12 pound = 102
1 pound= 102/12= 8.5
So we can plant 8.5 acre field with 1 pound of seed.
Please give me brainliest . :-)
Which of the following statements is true of 9 and -9?
Answers
Answer:
2&3
Step-by-step explanation:
They have the same absoulte value
You have to go 18 numbers to get from each other.
They are opposite numbers.
One is negative and one is positive.
Hope it Helps
There are 32 students in mr.Ryan’s class. 3/4 of the students have brown hair. The rest have blond hair. How many students have blond hair
Answers
Answer:
8
Step-by-step explanation:
32/4 = 8
8 = 1/4(32)
Answer:
8
Step-by-step explanation:
Since there is 32 students and 3/4 of them have brown hair right. We can change the 3/4 fraction to a similar fraction to help. We can bump it up. As it is similar to 6/8 and 12/16 and 24/32
So 24/32 would have brown hair leaving 8 with blonde
What is the equation of the line that is perpendicular to y = one-fifth x + 4 and that passes through (5,–4)?
On a coordinate plane, a line goes through (0, 4) and (5, 5). A point is at (5, negative 4).
y = negative 5 x minus 29
y = negative 5 x + 21
y = one-fifth x minus 4
y = one-fifth x minus 5
Answers
Answer:
2nd option
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{5}[/tex] x + 4 ← is in slope- intercept form
with slope m = [tex]\frac{1}{5}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{5} }[/tex] = - 5 , then
y = - 5x + c ← is the partial equation
to find c substitute (5, - 4 ) into the partial equation
- 4 = - 25 + c ⇒ c = - 4 + 25 = 21
y = - 5x + 21 ← equation of perpendicular line
Express in simplest form.
Answers
Answer:
[tex]3a^{2} b^{2} -6a[/tex]
Step-by-step explanation:
[tex]\frac{15a^{3}b(3ab^{2}-6 ) }{15a^{2} b}[/tex] take [tex]15a^{3}[/tex]b common
[tex]=3a^{2} b^{2}-6a[/tex] cancel like terms
Determine the length of DC.
Need the answer urgently.
Answers
Answer:
DC = 39
Step-by-step explanation:
From inspection of the diagram:
EA is tangent to both circlesDE is the radius of circle DCA is the radius of circle CThe tangent of a circle is always perpendicular to the radius, therefore:
DE ⊥ EA and CA ⊥ EA
As ∠DEB and ∠BAC are both 90°, then DE is parallel to CA.
Therefore, ∠DBE and ∠ABC are vertically opposite angles, and are therefore equal.
As triangles ΔBED and ΔBAC have two pairs of corresponding congruent angles, the triangles are similar.
Therefore:
[tex]\implies \sf \dfrac{DE}{CA}=\dfrac{EB}{BA}[/tex]
[tex]\implies \sf \dfrac{10}{5}=\dfrac{24}{BA}[/tex]
[tex]\implies \sf BA=12[/tex]
Using Pythagoras' Theorem for ΔBED to find DB:
[tex]\implies \sf DE^2+EB^2=DB^2[/tex]
[tex]\implies \sf 10^2+24^2=DB^2[/tex]
[tex]\implies \sf DB^2=676[/tex]
[tex]\implies \sf DB=\sqrt{676}[/tex]
[tex]\implies \sf DB=26[/tex]
Using Pythagoras' Theorem for ΔBAC to find BC:
[tex]\implies \sf CA^2+BA^2=BC^2[/tex]
[tex]\implies \sf 5^2+12^2=BC^2[/tex]
[tex]\implies \sf BC^2=169[/tex]
[tex]\implies \sf BC=\sqrt{169}[/tex]
[tex]\implies \sf BC=13[/tex]
Therefore, the distance between the center of the circles DC is:
[tex]\begin{aligned} \implies \sf DC & = \sf DB + BC\\& = \sf 26 + 13\\& = \sf 39\end{aligned}[/tex]
Use Pythagorean theorem
DB²=DE²+EB²DB²=10²+24²DB²=100+576DB²=676DB=26Now use proportion
DE/DB=AC/BC10/26=5/BC5/13=5/BCBC=13Now
DC=DB+BC=26+13=39
PLEASE PLEASE HELP ME WITH THIS I NEED ASAP THESE ARE TRUE OR FALSE QUESTIONS
Are the following statements true or false? (20 Points)
a. If the domain of a uniform continuous probability density function is 8.0
then its height is = 0.1684
b.
If the domain of a uniform continuous probability density function is 8.0
then P(14.0< X<26.0) = 0.6092
c.
All normal curves are symmetric and bell-shaped.
d.
By the Empirical Rule 99.7% of the area under a normal curve is within two
standard deviations of the mean.
I
e.
All uniform density functions are symmetric and bell-shaped.
f.
The Standard Normal curve has a mean of zero and a standard deviation of one.
0075
Answers
Answer:
1. true 2. false 3. false 4. true 5. false 6. false or true
Step-by-step explanation:
you're welcome
Pablo wanted to see if a 12-inch straw would fit inside a small retangular box. He noticed that it only fits diagonally. The box has a height of 2 inches and width of 3 inches. What is the length of the box?
Answers
Answer:
11.61895003862225
Step-by-step explanation:
Send helppppppppppppppp;((
Answers
Answer:
I will do only 1 sum bru.h
In the 1st sum
the 1st no. can be in 9 ways
the 2nd no. can be in 10 ways
the 3rd no. can be in 10 ways
the 4th no. can be in 10 ways
total no. of ways = 9 × 10 × 10 × 10
= 90 × 100
= 9000 ways
2nd one..
the 1st letter can be written in 4 ways
the 2nd letter can be written in 4 ways
the 3rd letter can be written in 4 ways
the 4th letter can be written in 4 ways
Total no. of ways = 4 × 4 × 4 × 4
= 16 × 16
= 196 ways
Simplify the expression
3 (2d + 5) + 4d
Answers
Answer:
The answer is 10d + 15.
Step-by-step explanation:
Simplify the expression. Calculators are helpful for problems such as these...
=10d+15
Good luck
Which of the following inequalities matches the graph?

Answers
Answer:
y≥-1
Step-by-step explanation:
First you have to find out whether the inequality has x or y. You can first look at the x coordinate -1. This means that x will always be equal to -1. If you look at the graph than you can see that x is only equal to -1 at one place. So now you know that y is in the inequality. To tell whether this graph is greater than or less than you can look at the line and see whether the shaded section is to the positive side or the negative side. You can see that the shaded area goes in the positive direction so you know that it is greater than.
HELP PLEASE FOR 20 POINTS!!
Toby is x years old. Seth is y years old. Seth is three years less than twice as old as Toby. Which equation correctly relates the ages of Toby and Seth?
!!!!IF YOU GIVE ME A LINK OR NOT THE ANSWER ILL REPORT!!!!!!
Answers
Answer:
B) y = 2x - 3
Step-by-step explanation:
Seth's age = y
Twice as old as Toby = 2x
3 years less = -3
Hope this helps!
Please HALP MEEEEEEE
Answers
Answer:
18[tex]\frac{3}{4}[/tex]cm^3
Step-by-step explanation:
V = w*h*l
V = 2.5*3*2.5
V= 18.75
Can someone please help me again! Tysm!!!
Answers
Answer:
129
Step-by-step explanation:
so they are basically the same angles but on different planes. Set them equal to each other.
14x+17=19x-23 solve for x
40=5x isolate x by dividing by 5
x=8
check
14(8)+17=19(8)-23
129=129
The figure is a parallelogram. Find the missing measures. Enter the number only. No symbols. ( can someone help me please, i will give brainliest)
Answers
Parallelograms have 2 pairs of congruent, parallel sides, and opposite angles that are congruent.
If side KL = 31, then its opposite side, side MN, must also be 31.
If angle N = 119 degrees, then its opposite angle, angle L must also be 119 degrees.
Angle L and Angle K are on the same side of the parallelogram, which means that they are supplementary angles (add up to 180).
119 + K = 180
Angle K = 61 degrees
Hope this helps!
cos^2-sin^2=1/3
so what is cos^4-sin^4
Answers
Step-by-step explanation:
[tex]cos ^{2} x - \sin ^{2} x = \frac{1}{3} [/tex]
[tex] \frac{(cos ^{2}x - \sin ^{2} x)(cos ^{2}x + \sin ^{2} x)}{(cos ^{2}x + \sin ^{2} x)} = \frac{1}{3} [/tex]
[tex] \frac{(cos ^{4}x - \sin ^{4} x)}{1} = \frac{1}{3} [/tex]
as cos²x+sin²x=1
Hence
cos⁴x-sin⁴x=1/3
CAN u pls pls pls help its easy for yall not me im slow
Answers
Answer:
A
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
2.25/.5
What is the surface area of an ice cream cone if the radius is 2 inches
Answers
14=v/17.92+7. Solve for v
Answers
Answer:
125.44 = v
Step-by-step explanation:
14 = [tex]\frac{v}{17.92}[/tex] + 7
7 = [tex]\frac{v}{17.92}[/tex]
7(17.92) = v
125.44 = v
Hope this helps!
Answer:
[tex]v = 125.44[/tex]
Step-by-step explanation:
I assume you mean to solve [tex]14=\frac{v}{17.92}+7[/tex]Subtract 7 from both sidesThis gives [tex]7=\frac{v}{17.92}[/tex]Multiply both sides by 17.92[tex]v=125.44[/tex]A gallon of milk costs $2.30. What is the cost per quart?
Answers
Answer:
57.5p
Step-by-step explanation:
$2.30 / 4 = 57.5p
The radius of a cylinder is 3 yards, and the total surface area is 320 square yards. Which of the following is the closest to the height of the cylinder in yards?
A) 14.0 yd
B )20.0 yd
C )15.5 yd
D) 17.0 yd
Answers
Answer:
its A 14.0
Step-by-step explanation:
Write the ratio in simplest form: there are 6 red marbles and 22 blue marbles in a jar. What is the ratio of red marbles to blue?
Answers
Answer:
3 : 11Step-by-step explanation:
Given : the ratio of red marbles to blue marbles is 6 to 22
But ,we want to write the ratio in simplest form
therefore ,we have to divide both sides of the ratio by their greatest common factor GCF.
→ So Let’s find the GCF(6 , 22)
Since 6 = 2 × 3
22 = 2 × 11
then ,GCF(6 , 22) = 2
Eventually ,the ratio 6 : 22 in its simplest form I suppose 3 : 11