Answer:
5572.45
Step-by-step explanation:
the formula to calculate the colume of a sphere is (4/3)πr², where r is the radius of the sphere.
to find r (radius):
- divide the diameter by 2 because d = 2r, where d is the diameter and r is the radius
r = 22/2
= 11 in
to find volume of the globe:
- substitute r = 11 into (4/3)πr³
v = (4/3)π(11)³
= 5324π/3
≈ 5575.27976 in³
hence, the best approximation of the globe is 5572.45 in³.
8 1/3 divided by x=2 1/3 divided by 8.1
Answer:
[tex]\large\boxed{\tt x \approx 28.9 \overline{285714}.}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked to solve for x in the given equation.}[/tex]
[tex]\large\underline{\textsf{What are Equations?}}[/tex]
[tex]\textsf{Equations are statements that determine 2 or more expressions are equal.}[/tex]
[tex]\underline{\textsf{This means that;}}[/tex]
[tex]\tt \frac{8 \frac{1}{3} }{x} \ is \ equal \ to \ \frac{2 \frac{1}{3} }{8.1}[/tex]
[tex]\textsf{For equations, rather \underline{proportions} such as these, we should \underline{Cross Multiply}.}[/tex]
[tex]\large\underline{\textsf{What are Proportions?}}[/tex]
[tex]\textsf{Proportions are comparisons to the size, and how large/small a value is.}[/tex]
[tex]\large\underline{\textsf{What is the Cross Multiplying?}}[/tex]
[tex]\textsf{Cross multiplying is indeed as simple as it sounds, basically multiply the oppsite}[/tex]
[tex]\textsf{known value by another known value, then divide the product by last known}[/tex]
[tex]\textsf{number. This sounds like a lot, but I'll give an example.}[/tex]
[tex]\underline{\textsf{Example;}}[/tex]
[tex]\tt \frac{1}{3} = \frac{2}{x}[/tex]
[tex]\textsf{We are asked to find x in the given proportion. We should use the cross}[/tex]
[tex]\textsf{multiplication method. Note that we should multiply the known values that are}[/tex]
[tex]\textsf{on opposite sides, and leave the known value with x as its opposite value alone}[/tex]
[tex]\textsf{until we have our product.}[/tex]
[tex]\tt \frac{1}{\small\boxed{\tt 3}} = \frac{\small\boxed{\tt 2}}{x}[/tex]
[tex]\textsf{3 and 2 are opposite from each other, hence we'll multiply them.}[/tex]
[tex]\tt \frac{1}{\small\boxed{\tt 3}} = \frac{\small\boxed{\tt 2}}{x} \rightarrow \frac{6}{1} = x[/tex]
[tex]\textsf{We'll divide by the last remaining known value, 1, then that should be the value}[/tex]
[tex]\textsf{of x.}[/tex]
[tex]\tt x = 6[/tex]
[tex]\large\underline{\textsf{Solving;}}[/tex]
[tex]\textsf{Use the Cross Multiplication Method.}[/tex]
[tex]\tt \frac{8 \frac{1}{3} }{x} = \frac{2 \frac{1}{3} }{8.1}[/tex]
[tex]\tt 8 \frac{1}{3} \ \textsf{and} \ \tt 8.1 \ \textsf{are opposite from each other, which means we will multiply those}[/tex]
[tex]\textsf{values together.}[/tex]
[tex]\tt \frac{ \small\boxed{\tt 8 \frac{1}{3}} }{x} = \frac{2 \frac{1}{3} }{\small\boxed{\tt 8.1}} \rightarrow 67.5.[/tex]
[tex]\textsf{Our product is 67.5, which means we are ready to divide 67.5 by 2} \tt \frac{1}{3} .[/tex]
[tex]\tt x = \frac{67.5}{2 \frac{1}{3} }[/tex]
[tex]\textsf{This quotient is going to be irrational, hence I will round to 7 digits.}[/tex]
[tex]\large\boxed{\tt x \approx 28.9 \overline{285714}.}[/tex]
A side of the triangle below has been extended to form an exterior angle of 133°. Find the value of x????????
An exterior angle is equal to the sum of the two opposite inside angles:
x = 133 - 118 = 15 degrees
Answer: x = 15
Answer:
15 because 133=x-118 I hope it helps
Lesson 19 Practice
Rewrite the product as a sum or difference of two terms: 2(x + y)
Hey there!
2(x + y)
DISTRIBUTE 2 WITHIN the PARENTHESES
= 2(x) + 2(y)
= 2x + 2y
Therefore, your answer is: 2x + 2y
Basically, 2 (the first one) is your coefficient, x & y are your variables, and 2 (the second one) is your constant. Whereas, your addition symbol (the sum or +) is your operator.
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
For what value of y does 125 = (StartFraction 1 Over 25 EndFraction) Superscript y minus 1? Negative five-halves –2 –1 Negative one-half.
Answer:
D. -1/2
Step-by-step explanation:
First to rewrite the equation in numbers
[tex]125=\frac{1}{25}^{y-1}[/tex]
First, we need to find what exponent would get 1/25 to 125.
[tex]\frac{1}{25}^{y}=125[/tex]
Sense 1/25 is a fraction we must use a negative exponent to make it a whole number. We can just find what exponent would get 25 to 125 then make it negative. 1 wouldn't be enough and 2 would be too much so y is between 1 and 2 into negative is between -1 and -2. Sense the original equation has (y-1) the only option you can subtract 1 from to get between -1 and -2 is -1/2 which would give -1 1/2.
Answer:
Keep it simple: D or -1/2
Step-by-step explanation:
Help please. I don't know how to do this.
Answer:
it is quite simple it's just that you need to substitute the input in place of x
eg:if the input is 2 then 2(3(2)+4) = 20 and 20 is the output
A robot painted 423 car parts in 9 minutes. What was the rate per minute at which the robot painted the parts?
Answer:
47 parts per minute
Step-by-step explanation:
423/9=47
Solve for x using the given information. Explain your steps.
6x + ( 3x - 9) = 90°( being complementary angles )
6x+3x -9 = 90°
9x = 90° + 9
x = 99 / 9
x = 11
Jose and his 3 friends equally shared $20 at Taco Bell last night.
Use the model below to determine x, the amount each child
spent at Taco Bell.
Answer:
x = 5
Step-by-step explanation:
The model tells you ...
4x = 20
x = 20/4 = 5 . . . . . divide both sides by 4
Each child spent $5 at Taco Bell.
help needed thanks it greatly appretiated
c is the correct answer of this question
[tex] \huge \boxed{ \tt option \: c}[/tex]
Step-by-step explanation:[tex] \sf \dfrac{15 x{y}^{2} }{15 {x}^{11} {y}^{15} } [/tex]
[tex] \\ \\ [/tex]
[tex] \to \sf \dfrac{15 x {}^{0} {y}^{0} }{15 {x}^{11 - 1} {y}^{15 - 2} } [/tex]
[tex] \\ \\ [/tex]
[tex] \to \sf \dfrac{15 \times 1 \times 1 }{15 {x}^{11 - 1} {y}^{15 - 2} } [/tex]
[tex] \\ \\ [/tex]
[tex] \to \sf \dfrac{15 \times 1 \times 1 }{15 {x}^{10} {y}^{13} } [/tex]
[tex] \\ \\ [/tex]
[tex] \to \sf \dfrac{ \cancel{15 } \times 1 \times 1 }{ \cancel{15} {x}^{10} {y}^{13} } [/tex]
[tex] \\ \\ [/tex]
[tex] \to \sf \dfrac{ 1 }{ {x}^{10} {y}^{13} } [/tex]
The points (-12, 6) and (-4, r) lie on a line with slope - 1/2
Find the missing coordinate r.
Answer:
r = 2
Step-by-step explanation:
Slope formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]
Substitute the known values for their respective variables and solve for the missing coordinate, r.
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\ -\frac{1}{2}=\frac{6-r}{-12-(-4)}\\\\-\frac{1}{2}=\frac{6-r}{-8}\\\\ -8(-\frac{1}{2})=(\frac{6-r}{-8})-8\\\\ 4=6-r\\\\4-6=6-r-6\\\\-2=-r\\\\\frac{-2}{-1}=\frac{-r}{-1}\\\\ 2=r[/tex]
3/14/7/10
[tex] \frac{ \frac{ \frac{3}{14} }{7} }{10} [/tex]
simplify
Answer:
= 3/14 × 10/7
= 15/14
hope it helps!
Answer:
= 3/14 × 10/7
= 15/14
Step-by-step explanation:
branliest pls
65 cm of 5.6 m
find the percentage
Answer:
8.61%
Step-by-step explanation:
5.6/65*100
If Ben invests $4500 at 4% interest per year, how much additional money must he invest at 5 1 2 % annual interest to ensure that the interest he receives each year is 4 1 2 % of the total amount invested?
(4x+7) ° is congruent to [5(x-4)] °
What is the value of x?
Answer:
x=17
Step-by-step explanation:
1) 4x +7 = 5(x-4) Congruent angles
2) 4x + 7 = 5x -10 Distributive Property
3) Simplify
4x + 7 = 5x - 10
-4x -4x
7 = x - 10
+10 +10
x = 17
PLEASE HELP ME I WILL MARK IF RIGHT
Step-by-step explanation:
the small and the large triangles are similar triangles.
they have the same angles. and the corresponding sides correlate to each other with the same ratio for every pair of sides.
so,
28 / 82 = (2x + 8) / ((2x + 8) + (5x -4)) =
= (2x + 8) / (7x + 4)
(7x + 4)×28 = (2x + 8)×82
196x + 112 = 164x + 656
32x = 544
x = 17
Which of these is the algebraic expression for the verbal expression "twelve times the difference of a number and four?"
Answer:
12* y-4
Step-by-step explanation:
The first is twelve. then the asterisk is next. y is for the "number" Lastly, subtract 4.
si el cartón de huevos es la unidad, y son 30 huevos, responde:
¿cuántos huevos hay en un medio cartón?
Answer:
quince
Step-by-step explanation:
si el cartón de huevos es la unidad, y son 30 huevos,
responde:
¿cuántos huevos hay en un medio cartón?
translation:
if the egg carton is the unit, and it is 30 eggs,
answer:
how many eggs are in a half carton?
30 divided by 2
30
----- = 15
2
Find the value of x.
Step-by-step explanation:
[tex]90 + 90 + 52 + x = 360 \\ x = 360 - 90 - 90 - 52 \\ x = 128[/tex]
Find ALL solutions for the photo given. Find all real solutions of the equation given
Step-by-step explanation:
using formula method... insert the variables
f(x) = -9x + 7 find f(3) HELPPP
The given function is ,
→ f(x) = -9x + 7 .
And we need to find out its value at x = 3 , that is f(3) . So just substitute x = 3 ,
→ f(3) = -9*3 +7
→ f(3) = -27+7
→ f(3) = -20
Hence the required answer is-20 .
I hope this helps.
Please Help!! My area can be represented by the expression x^2. What special polygon am I?
Show your work
Answer:
it is a rhombus
Step-by-step explanation:
only because if you do the division and multiply the ploynomials the circumfrance is an easy 2 which can be added to 3 but subtract the 1 making it part of the photosynthesis and can lead to bigger things such as a RHOMBUS
A total of 25 students are in German classes. there are 15 students in a beginner German class
Part A What percent of the total students in German classes are in the beginner class?
Part B Explain how you used proportion to find your answer
Answer:
60%
Step-by-step explanation:
You divide 15 by 25 and you get your decimal, which you multiply by 100 to get your percent.
Which equation models the rational function shown in the graph?
Answer: its AAAAAAAAAAAAAAAAAAAAAAAAAAAAA
Step-by-step explanation:
lol
Find three consecutive integers whose sum is 0.
0, -3 ,+3
hope it helped u! ^^
Let n=first number. So this means that the second number is n+2 and the third is n+4. Since the sum of the three numbers is 0, this means that
n+n+2+n+4=0
Whyy, do vou think, banks and other financial institutions offer cash loans to people that did not apply for it?
Answer:
because there are in need of it
Step-by-step explanation:
yes
What is the value of n?
Enter your answer in the box.
(NEED ANSWER ASAP. PLEASE DON'T ANSWER ANYTHING IRRELEVANT OR I'LL REPORT U. PROVIDE AN EXPLANATION AS WELL IF POSSIBLE. THANK U FOR UR HELP)
Answer:
5
Step-by-step explanation:
Well, there's a formula: to find the measure of any section, you should multiple every section to its ending after the crossing, and then make a proportion.
So, 9(n+7) = 18(n+1)
9n+63 = 18n+18
-9n+45=0
-9n=-45
n=-45/-9
n=5
How do I find the slope of the line?
Answer:
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
Step-by-step explanation:
yeah
Answer:
Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
I don't know if you want an example?
Which expression represents the following word sentence? Four times the sum of 3. 2 and a number is the number less 1. 4. 4n 3. 2=1. 4−n 4(3. 2 n)=n−1. 4 4(n 3. 2)=1. 4−n.
The line four times the sum of 3.2 and a number is the number less 1.4 can be expressed as 4(n+3.2) = n-1.4.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given to us
Four times the sum of 3.2 and a number is the number less than 1.4
Let the number be n.
It is given that the sum of 3.2 and number,
n + 3.2
Four times the sum, therefore,
4(n+3.2)
The total we got is the number less 1. 4. thus,
4(n+3.2) = n - 1.4
Hence, the line four times the sum of 3.2 and a number is the number less 1.4 can be expressed as 4(n+3.2) = n-1.4.
Learn more about Expression:
https://brainly.com/question/13947055
Answer:
the answer is 4(3.2+n)= n- 1.4
Step-by-step explanation:
took the quiz made a 100
Please answer this (who ever answers correctly gets brainlest)
Answer:
18480 ft
Step-by-step explanation:
Note that 1 mile = 5280 feet. We can use this information to set up a unit converter:
[tex]3.5mi(\frac{5280ft}{1mi})[/tex]
Miles cancels out on the bottom giving us...
[tex]3.5*5280ft=18480ft[/tex]
PLEASE HELP me out with this