Answer:
20 cm
Step-by-step explanation:
Use the formula
A=4πr^2
Solving for radius
[tex]r = 1/2 \sqrt{A/\pi } = 1/2 \sqrt{4800/\pi }[/tex] ≈ 19.5441
We are given –
[tex] \sf \begin{cases} \sf A_{\circ} = 4\: 800\: cm^2 \\ \sf \pi = 3 \\ \sf r = \:?\: cm\end{cases}[/tex]
A sphere is a three-dimensional object that results from the rotation of a circle around its diameter.The spherical surface area is given by–[tex] \pink{\bf\boxed{ \bf{A = 4 \pi \cdot r^2}}}[/tex]Just use the formulas for the sphere's area to determine the radius.
[tex]\qquad[/tex] [tex]\red{\twoheadrightarrow\bf A_{\bigcirc} = 4 \pi \cdot r^2} [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 4\:800 = 4 \cdot 3 \cdot r^2 [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 4\:800 = 12 \cdot r^2 [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r^2 = \dfrac{4\:800}{12} [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r^2 = 400 [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r = \sqrt{400} [/tex]
[tex]\qquad[/tex] [tex]\red{\twoheadrightarrow\bf r = 20\: cm} [/tex]
Henceforth, the radius of the sphere measures [tex] \bf = 20\: cm [/tex].
A racing track is shaped like an oval. Each time around
the track is 1.2 miles. The total distance for the
race is 480 miles.
What percentage is one lap around the track of
the total race?
(b) How many laps will it take to complete 75% of the
race?
Answer:
Percentage of one lap around the track of
the total race = 0.25%
It will take 300 laps to complete 75% of the race.
Step-by-step explanation:
1.2/480=0.0025
0.0025*100=0.25
480/100*75= 360
360/1.2=300
Simplify.
(–12x) ÷ (–2)
6x
12x
3x
112x
hope this helps. leave a comment if you have a question.
Hello there!
Question:-[tex]( - 12x) ÷ ( - 2)[/tex]
This is an algebraic expression.We need to find the result of it.
Solution:-[tex]\sf \longmapsto (- 12x) \div ( - 2)[/tex]
This algebraic expression may be rewritten as:-
[tex]\sf \longmapsto \: \dfrac{ - 12x}{2} [/tex]
Cancel the minus (-) sign:-
[tex]\sf \longmapsto \dfrac{ \cancel - 12x}{ \cancel - 2} [/tex]
Then,cancel 12 and 2 by 2, 12 ÷ 2 results 6. (Don't cancel x):-
[tex]\sf \longmapsto \: \dfrac{ \cancel {12}x}{ \cancel{2}} [/tex]
[tex]\sf \longmapsto6x[/tex]
Option A
______________________________________
Henceforth the value of the algebraic expression is:
[tex]\boxed{\boxed{\displaystyle \huge 6x}}[/tex]
Option A is correct!
______________________________________
I hope this helps!
Please let me know if you have any questions.
~MisterBrian
HELP HELP ME PLS I AM RUNNING OUT OF TIME!!!! HERE IS MY PROBLEM:
An attorney drove 9 1/4 miles from his home to a clients home and another 4 3/5 miles to get to his office. How far did he drive in total?
Answer:
Step-by-step explanation:
To write fractions with a common denominator, you will most likely need to scale some numbers up! I will explain how.
Let's try it with the fractions
2
3
and
3
12
12 is larger than 3, so we will have to multiply the 3 by some number to equal 12. (We are really finding the Least Common Multiple of the two denominators!) To do this, you have to multiply the 3 by 4, because 3x4=12. But now the numerator doesn't match the denominator. When you scale the denominator up, you have to scale the numerator up too! So the 2 must be multiplied by 4 also.
Now you have the following:
8
12
and
3
12
These fractions now have common denominators! Now they're all set for adding or subtracting fractions.
Try another:
2
6
and
3
5
: The least common multiple of 6 and 5 is 30. (the product of the denominators)
Transform each fraction by multiplying by "1":
2
6
⋅
5
5
=
10
30
and
3
5
⋅
6
6
=
18
30
One last problem:
4
9
and
7
6
What is the least common multiple of 9 and 6? Could you use 54? Absolutely, but it is not the LEAST number that you could use. How about 18? YES!
4
9
⋅
2
2
=
8
18
and
7
6
⋅
3
3
=
21
18
Ready to go...
Hope this helped!
how to solve x^2+x-90=0 in completing the square method
Rearrange the equation by writing
x² + x - 90 = 0
x² + x = 90
x² + x + 1/4 = 90 + 1/4
Recall that (a + b)² = a² + 2ab + b². Then
x² + 2 • x/2 + (1/2)² = 361/4
(x + 1/2)² = 361/4
x + 1/2 = ± √(361/4)
x = -1/2 ± 19/2
x = 9 or x = -10
which expression is equal to 4 to the power of 5 times 4 to the power of -7 divided by 4 to the power of -2
Step-by-step explanation:
4⁵ × 4^-7 / 4^-2
it is important to understand that a negative exponent means 1/...
a^-n = 1/(a^n)
in that sense we have therefore
4⁵ × 1/4⁷ × 4² (as (1/ 1/a^n) = a^n)
4⁵ × 4² × 1/4⁷ = 4⁷ × 1/4⁷ = 1
so, "1" is the fully simplified expression equal to the original expression.
How can you split 20 into 3 groups
The answer is 6 per team with 2 left over, as (6 x 3) + 2 = 20
I thought of the largest amount that could be multiplied by 3, but the product would be less or equal to 20, that's how I got 6.
Then to find the left over remaining balls that are given out I subtracted 20-18 = 2.
I need help i don't understand/
Answer:
1. A
2. C
Step-by-step explanation:
If they are corresponding, so their angle measures are the same. Hope this helps. :)
Answer:
1) 1 and 6
2) 110. these are corresponding angles so they are congruent
Step-by-step explanation:
Are these three side lengths a Pythagorean triple? YES
NO
Answer:
Yes
Step-by-step explanation:
5^2 + 5^2 = c^2
25 + 25 = c^2
50 = c^2
[tex]\sqrt{50}[/tex] = c
[tex]\sqrt{50}[/tex] = 5[tex]\sqrt{2}[/tex]
Answer:
NOStep-by-step explanation:
no, it is an acute isosceles triangle
(5√2 = 7.01)
is this a function
Find the domain and range
Answer:
Yes
Domain: 1, -1, 0, -3, 3
Range: 1, -1, 6
Step-by-step explanation:
The domain is in the left oval, the range is in the right oval. To find if its a function you have to make sure the domain (left side) doesn't "cheat". One number in the domain cant have more than one number in the range (right side), BUT (for future reference) the range can cheat. As shown, the right side numbers 1 and 6 have two different arrow pointed at them. As long as the domain doesnt "cheat" it is a function
Use long division to find the quotient below.
(10x^3 - 19^2 - 2x + 12) / (2x-3)
in a class of 33 student 18 play football 1"basketball and 7 play both games how many students play non of the games
(-r-5)-(-2r-4) help me solve pls lol
[tex]r - 1[/tex]
Step by step explanation: Step 1: Distribute[tex]( - r - 5) - ( - 2r - 4) \\ ( - r - 5) + 2r + 4[/tex]
Step 2: Eliminate redundant parenthesis[tex]( - r - 5) + 2r + 4 \\ - r - 5 + 2r + 4[/tex]
Step 3: Add numbers[tex] - 3 \purple{ - 5} + 2r + \purple{4} \\ - r \purple{ - 1} + 2r[/tex]
Step 4:Combine like terms[tex] \purple{ - r } - 1 + \purple{2r} \\ \purple{1r} - 1[/tex]
Step 5:Multiply by 1[tex]1r - 1 \\ r - 1[/tex]
Hopefully it's help
I copy MissJoy2 answer cuz her/his answer is right
Question 30 of 56
Is this relation a function? Justify your answer
Answer: No, this relation is not a function.
Step-by-step explanation:
Two of the points with the same Y axis have different X values (as stated in answer A)
help me please???????
Answer:
we have to know what your element is to help you answer this question
the elements of the periodic table are numbered from 1 to 118 and Atom's place on the table is determined solely by which property A mass number B number of protons C number of neutrons D number of electrons
The atom's place on the table is determined solely by its number of protons
A periodic table is a table containing different elements and arranged across the periods and groups of the table. The elements in a periodic table are numbered and arranged based on their atomic number.Since the atomic number is equal to the number of protons an element contains, hence we can conclude that the atom's place on the table is determined solely by its number of protons
Learn more about periodic table here;https://brainly.com/question/14514242
Answer:
number of protons
Step-by-step explanation:
its about drive
its about power
we stay hungry
we devour
Answer:
AYYYYY GET IT !!!!
Step-by-step explanation:
Answer:
put in the work put in the hour and take what's ours
Step-by-step explanation:
Would someone help me out?
A)56.6
B)58.4
C)53.5
Answer:
it is c
Step-by-step explanation:
A cylinder has a height of 7 centimeters and a diameter of 4 centimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
V = 87.92 cubic cm
Step-by-step explanation:
V(cyl) = πr²h
V = 3.14(2²)(7)
V = 87.92
Hi! Can somebody please help me? I have been stuck on this question for too long now.
Examine this set of Pythagorean triples from part C. Look for a pattern that is true for each triple regarding the difference between the three values that make up the triple. Describe this pattern. Then see if you can think of another Pythagorean triple that doesn’t follow the pattern you just described and that can’t be generated using the identity (x^2 - 1)^2 + (2x)^2 = (x^2 + 1)^2. Explain your findings.
The Set of Pythagorean triples:
x-value Pythagorean Triple
7 (14,48,50)
8 (16,63,65)
9 (18,80,82)
10 (20,99,101)
Answer:
its 7
Step-by-step explanation:
name the relationship of these angles
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:
2
Step-by-step explanation:
3:1=6:2
They buy 2 pepperoni pizzas.
GIVING BRAINLIEST
What is the solution to the system of linear equations graphed below?
Answer:
The first option so [tex](3\frac{1}{2}, -4)[/tex] is the answer
Skills required: Graphing Knowledge, Systems Knowledge
Step-by-step explanation:
1) The solution to any system is the intersection between any 2 lines or functions. In this case, we are given two functions on a graph, and need to find the solution to them. That is the intersection.
2) We can see the intersection and see that the x-axis value for the coordinate point is around 3 1/2 (or 3.5 -- whatever you prefer), and that the y-axis value for the point is -4.
Therefore, the coordinate point is: [tex](3\frac{1}{2}, -4)[/tex] since this answer best matches the coordinate values of that point.
==================================================================
Select the first option, have a nice day! :D
when using the zero product rule you know at least one of the factors must equal *blank*
Answer:
The Principle of Zero Products states that if the product of two numbers is 0, then at least one of the factors is 0.
Step-by-step explanation:
Answer:
when using the zero product rule you know at least one of the factors must equal 0 because and most places anything that is put with zero equal zero because zero have no value
Step-by-step explanation:
Use the distributive property to rewrite as an expression
5(x+3)
Answer:
5x+15
Step-by-step explanation:
you mulityply 5*x and 5*3
A baker has 12 pounds of almonds. She puts them in bags, so that each bag has the same weight. Clare and Tyler drew diagrams and wrote equations to show how they were thinking about 12 divideDid divide by 6
Planes A and B intersect. Vertical plane B intersects horizontal plane A at line E D. Line C D is on plane A. Which describes the intersection of planes A and B? line CD line ED point C point D.
The description of the intersection of plane A and plane B is line CD
From the question (see attachment for the diagram of both planes), we have the following highlights
Point C is on plane A and plane BPoint D is on plane A and plane BBoth planes meet at the line that joins points C and D.
Hence, the description of the intersection of plane A and plane B is line CD
Read more about planes and lines at:
https://brainly.com/question/13099718
Answer:
The first answer, CD, is correct.
Edg, 2023
a pair of shoes is 80 dollars they are %25 off. how much money is %25 of 80 dollars
Answer
55$
Step-by-step explanation:
How do we get 144 here?
Answer:
the correct answer is supposed to be 120, your almost there :)
Step-by-step explanation:
Which system of equations is equivalent to the following system? 2x 4y = 14 4x y = 20 2x 4y = 14 â’16x â’ 4y = â’80 2x 4y = 14 â’4x y = â’20 4x 8y = â’28 4x y = 20 â’2x â’ 4y = 14 4x y = 20.
The equivalent equations of [tex]2x+ 4y = 14[/tex] and [tex]4x + y = 20[/tex]
are [tex]2x+ 4y = 14[/tex] and[tex]-16x -4y = -80[/tex]
The system of equations is given as:
[tex]2x+ 4y = 14[/tex]
[tex]4x + y = 20[/tex]
Multiply both sides of the equations by -4.
So, we have:
[tex]-4 \times (4x + y) = -4 \times 20[/tex]
Distribute the expression
[tex]-4 \times 4x -4 \times y = -4 \times 20[/tex]
Evaluate all products
[tex]-16x -4y = -80[/tex]
So, we have the following system of equations
[tex]2x+ 4y = 14[/tex]
[tex]-16x -4y = -80[/tex]
Hence, the equivalent equations are [tex]2x+ 4y = 14[/tex] and[tex]-16x -4y = -80[/tex]
Read more about equivalent equations at:
https://brainly.com/question/9603710
Write an equation for the proportional relationship shown in the table.
Answer:
y = 14x
Step-by-step explanation:
First Way of Finding the Equation:
We can find the equation for this proportional relationship by subtracting two of the y-values from each other and then dividing that by the difference of two of the x-values. For now, I'll use the points (2, 28) and (1, 14).
[tex]\frac{28-14}{2-1} =\frac{14}{1} =14[/tex]
So, this proportional relationship has an equation of y = 14x.
Second Way of Finding the Equation:
Another way of finding the equation is to simply examine the table given. What are all the x-values multiplied by to get to their corresponding y-values? Well, one easy way of answering this question is looking at the point (1, 14) - 1 × 14 = 14, so the constant of proportionality must be 14.
From this information, we know that the equation must be y = 14x.
Hopefully that's helpful! :)