Answer:
3
Step-by-step explanation:
Volume of sphere:
4/3 * pi * r^3
Surface Area of Sphere:
4 * pi * r^2
So if V = SA
4/3 * pi * r^3 = 4 * pi * r^2
4/3 * pi * r^3 = 4 * pi * r^2
1/3 * r^3 = r^2
1/3 * r = 1
r = 3
Volume is a three-dimensional scalar quantity. The radius of the ball is equal to 3 units.
What is volume?
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the sphere is given by the formula,
V = (4/3)πR³
The surface area of the sphere is given by the formula,
Surface area = 4πR²
Also, it is mentioned that the numerical value of the volume in cubic inches was the same as the numerical value of the surface area in square inches. Therefore,
(4/3)πR³ = 4πR²
R³/3 = R²
R = 3
Hence, the radius of the ball is equal to 3 units.
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in a two digit number the tens digit is 6 more than the units digit. if the digits are interchanged, the sum of the new and the original number is 132. Determine the original number.
Given:
In a two digit number the tens digit is 6 more than the units digit.
If the digits are interchanged, the sum of the new and the original number is 132.
To find:
The original number.
Solution:
Let the unit digit of the original number be x. So, the tens digit is (x+6) and the value of the number is:
[tex]m=(x+6)\times 10+x\times 1[/tex]
[tex]m=10x+60+x[/tex]
[tex]m=11x+60[/tex]
If we interchange the digits, then the value of new number is:
[tex]n=x\times 10+(x+6)\times 1[/tex]
[tex]n=10x+x+6[/tex]
[tex]n=11x+6[/tex]
The sum of the new and the original number is 132.
[tex]m+n=132[/tex]
[tex]11x+60+11x+6=132[/tex]
[tex]22x+66=132[/tex]
[tex]22x=132-66[/tex]
[tex]22x=66[/tex]
Divide both sides by 22.
[tex]x=\dfrac{66}{22}[/tex]
[tex]x=3[/tex]
So, the unit digit of the original number is 3 and the tens digit is:
[tex]x+6=3+6[/tex]
[tex]x+6=9[/tex]
Therefore, the original number is 39.
Which of the following is the graph of the quadratic function y= x2 - 4x + 4
A. Graph D
B. Graph B
C. Graph A
D. Graphic
SUBMIT
Answer:
graph c
Step-by-step explanation:
it is the longest one
PLZZ HELP I REALLY DONT WANNA GO DOWN!!!!!!!!!!!!
Answer:
see below
Step-by-step explanation: 7 1 16 15
Meal Alone = 393.16
Tax 393.16 × 0.0625 = 24.57 Recall 6.25% = 6.26 / 100 = 0.0625
Tip 393.16 × 0.18 = 70.77 Recall 18% = 18 / 100 = 0.18
Add up the three values = 488.50 Total
an easier way to do this !!!!!! use the distributive rule
393.16 ( 1 + 0.0625 + 0.18)
393.16 ( 1.2425)
Total = 488.5013 or $488.50
Solve the equation and enter the value of x below. 9x + 4 + x = 54
Hello!
9x + 4 + x = 54 <=>
<=> 9x + x + 4 = 54 <=>
<=> 10x + 4 = 54 <=>
<=> 10x = 54 - 4 <=>
<=> 10x = 50 <=>
<=> x = 50 : 10 <=>
<=> x = 5 => 9 × 5 + 4 + 5 = 54
Good luck! :)
Answer:
x = 5
Step-by-step explanation:
First, combine like terms. Like terms are terms with the same variables as well as same amount of said variables:
9x + x + 4 = 54
(9x + x) + 4 = 54
10x + 4 = 54
Next, isolate the variable, x. Note the equal sign, what you do to one side, you do tot he other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
-
First, subtract 4 from both sides of the equation:
10x + 4 (-4) = 54 (-4)
10x = 54 - 4
10x = 50
Next, divide 10 from both sides of the equation:
(10x)/10 = (50)/10
x = 50/10 = 5
x = 5 is your answer.
~
If A =
[tex]if \: a \: = \binom{53}{24} \: and \: b = \binom{32}{10} then \: prove \: that |ab| = |a| . |b| [/tex]
and B = Prove that |AB| = |A| . |B|
Graph and identify image coordinates rx=2
Answer:
Step-by-step explanation:
Rule defining the reflection across the line x = -2 has been given as,
[tex]r_{x=-2}[/tex]
Line x = -2 will work as a mirror for the given triangle J, K, L.
That means distance of the vertices J, K and L and image points J', K' and L' will be equidistant from the line x = -2,
Vertices of the image triangle J'K'L' will be,
J' → (-5, 2)
K' → (-3, 2)
L' → (-4, 1)
Explain what you would do first to simplify the expression below. Justify why, and then state the result of performing this step.
Can someone help me with this math homework please!
Answfirst one
Step-by-step explanation:
hope it helps thank u
Answer:
first one
Step-by-step explanation:
2 students have the same age but different heights.
since age is the input and height is the output. in order to be a function one must have exact one output for one input.
since the heights of students in Tessa 's class are not a function of their ages (one input must have two outputs) two students of same age must have different heights.
What are the steps in order of operations
Find the cost of 5 Kgs of apples using the data given in the graph.
Answer: 2.50 dollars
Explanation:
Locate 5 on the x axis, which corresponds to buying 5 kgs of apples.
Draw a vertical line through 5 on the x axis until you reach the blue line. Mark this as point P.
From point P, draw a horizontal line until you reach the y axis. You should arrive at y = 2.5
This tells us that buying x = 5 kgs of apples will cost a total of y = 2.50 dollars.
Rodrigo traveled at an average speed of 55 miles per hour for 5 hours to get from one national park to the next on his vacation. What is the distance between the national parks?
Choose ALL terms like 5x?
92
No answer text provided.
-8.7
522
3
43
5
-5.0
Answer:
strange question...
I assume it is asking which ones can be expressed as "5x"
those are all the ones that are a multiple of 5
5, -5x , & 5x^2 satisfy that
Step-by-step explanation:
The terms that are like 5x are: -8x and 4x as they both have the variable x raised to the power of 1 (x).
Given are some algebraic terms 9x², -8x, 5x², 3, 4x, 5 and -5, out of these we need to choose the terms which are like 5x.
To determine the terms with properties similar to 5x, we need to look for terms that have the same variable (x) raised to the same power (1).
The terms that have similar properties to 5x are those with the variable x raised to the power of 1 (x) or simply x.
From the given terms:
9x² - This term has x raised to the power of 2, not 1.
-8x - This term has x raised to the power of 1 (x), similar to 5x.
5x² - This term has x raised to the power of 2, not 1.
3 - This is a constant term and does not have x.
4x - This term has x raised to the power of 1 (x), similar to 5x.
5 - This is a constant term and does not have x.
-5 - This is a constant term and does not have x.
Hence the terms that are like 5x are: -8x and 4x.
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Find the area of the parallelogram
Answer:
The answer is 32.
Step-by-step explanation:
Just multiply the height by the base length. 4*8=32
How is mathematical thinking established? How can we have mathematical thinking?
修改翻译结果
Translate How is mathematical thinking established? How can we have mathematical thinking? in to Chinese.
数学思维是如何建立的？ 怎样才能有数学思维？
Jacob Sketched a floor plan for a new two room clubhouse . In his sketch each centimeter was equal to 1.5 feet . The largest room on his clubhouse plan measured 6.2 cm by 7.4 cm. How many square feet would the actual room be? Round you answer to the nearest hundredth.
Answer:
103.23 square feet
Step-by-step explanation:
Area of the largest room = length × width
Each centimeter was equal to 1.5 feet
7.4 cm = 1.5 × 7.4 = 11.1 feet
6.2 cm = 1.5 × 6.2 = 9.3 feet
Length = 11.1 feet
Width = 9.3 feet
Area of the largest room = length × width
= 11.1 feet × 9.3 feet
= 103.23 square feet
2. A rectangle has length 13 and width 10. The length and the width of the rectangle are each
increased by 2. By how much does the area of the rectangle increase? *
50
20
38
35
Angle A and angle B are supplementary. If the measure of angle B is one-third the measure of angle A, what is the measure of angle B?
E. 22.5°
F. 45°
G. 67.5°
H. 135°
Answer:
vertically opposite angles
Step-by-step explanation:
supplementaries angles
The measure of angle B is 45° since option F. is correct in the given question.
What do we mean by supplementary angles?Any two angles (say X & Y), are said to be supplementary when their summation (X + Y) is equal to 180°.
How to determine Angle B?Angle A and Angle B are supplementary, which implies A+B=180°.
Angle B is one-third angle A, which implies
[tex]B=\frac{1}{3} A[/tex]
or, 3B = A
Using the value of A in the previous equation, we get 3B + B = 180°.
4B = 180°
or, B = 45°.
Thus, the measure of angle B is 45°. The correct answer is option F.
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Complete the remainder of the
table for the given function rule:
y = 3x - 8
X | -4 -2 0 2 4
y -20 [?] [ ] [ ] [ ]
The values that complete the table are -14, -8, -2 and 4
Function ruleGiven the function y = 3x - 8, we are to complete the given table.
If x = -2
y = 3(-2) - 8
y = -14
If x = 0
y = 3(0) - 8
y = -8
If x = 2
y = 3(2) - 8
y = -2
If x = 4
y = 3(4) - 8
y = 4
Hence the values that complete the table are -14, -8, -2 and 4
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Help!!
Marta is solving the equation S = 2πrh + 2πr2 for h. Which should be the result?
StartFraction S Over 2 pi r EndFraction equals h. – r = h
StartFraction S minus r Over 2 pi r EndFraction equals h. = h
S – S minus StartFraction r Over 2 pi EndFraction equals h. = h
S – S minus StartFraction 2 pi Over r EndFraction equals h. = h
Answer:
(S-2πr^2)/ 2πr = h
Step-by-step explanation:
S = 2πrh + 2πr^2
Subtract 2 pi r^2 from each side
S-2πr^2 = 2πrh + 2πr^2 -2πr^2
S-2πr^2 = 2πrh
Divide each side by 2 pi r
(S-2πr^2)/ 2πr = 2πrh/2πr
(S-2πr^2)/ 2πr = h
It is given that,
→ S = 2πrh + 2πr²
Now subtract 2πr² from the both sides,
→ S - 2πr² = 2πrh + 2πr² - 2πr²
→ S - 2πr² = 2πrh
Then divide both sides by 2πr,
→ (S-2πr²)/2πr = 2πrh/2πr
→ (S-2πr²)/2πr = h
Hence, (S-2πr²)/2πr = h is the result.
Which equation will solve the following word problem? There are 36 tables and 7 booths in the family restaurant. Each table seats 4 people. If the restaurant can seat up to 184 people, what is the capacity of each booth?
(B * 7 ) - (36 * 4) = 184
7B + (36 * 4) = 184
184 - (36 * 4) = B/7
184/4 = B * 7
Answer:
7B + (36 * 4) = 184
Step-by-step explanation:
In a family restaurant there are 36 tables and 7 booths.
Each table can seat 4 people.
Let the number of people who can be seated in a booth be represented by B.
Total seating capacity of the restaurant is 184 people.
Expressing this as an equation:
Among the given options, this relation is expressed in the second option, namely, 7B + (36 * 4) = 184
Que
pr
The table shows a
proportional relationship. X
y228 45.6 6 8.4 8 11.2
Complete the equation that
represents the table. Ente -
V
re
Answer
49 votos
Answer:
???
Step-by-step explanation:
This year, Carlos planted 6 more than one-third of the cucumber plants he planted last year. How many cucumber
plants did he plant this year if last year he planted 12 plants?
6
9
10
12? PLEASE HELP SMB
Answer:
10 plants
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
He planted 10 this year because last year he planted 12, and 1/3 of that is 4. He planted 6 more than that this year, so 4+6=10.
The Marked price, inclusive of GST, of a notebook computer is $1679.90.it is sold at a discount of 10%.
a) find its marked price before GST
b)Find the GST before discount.
c)What is the selling price of the computer
d) find the GST after the discount
e)what is the percentage decrease in the GST
Answer:i don’t know
Step-by-step explanation:i don’t know
In the image m || n || p.
Given ∠10 = 2x + 70
∠7 = 5x – 20
Find m∠3.
Given:
In the given figure [tex]m\parallel n\parallel p[/tex].
[tex]m\angle 10=2x+70[/tex]
[tex]m\angle 7=5x-20[/tex]
To find:
The [tex]m\angle 3[/tex].
Solution:
If a transversal line intersect two parallel lines, then the alternate exterior angles are equal.
[tex]m\angle 7=m\angle 10[/tex] (Alternate exterior angle)
[tex]2x+70=5x-20[/tex]
[tex]70+20=5x-2x[/tex]
[tex]90=3x[/tex]
Divide both sides by 3.
[tex]\dfrac{90}{3}=\dfrac{3x}{3}[/tex]
[tex]30=x[/tex]
Now,
[tex]m\angle 3=m\angle 7[/tex] (Corresponding angles)
[tex]m\angle 3=5x-20[/tex]
[tex]m\angle 3=5(30)-20[/tex]
[tex]m\angle 3=150-20[/tex]
[tex]m\angle 3=130[/tex]
Therefore, the measure of angle 3 is 130 degrees.
Can you help with 7-10
Answer:
7.Mean=Ex/n
= 88+96+92+84+86+92+98/7
=90
(b). Median = {84,86,88},92,{92,96,98}
=92
(C).Mode=92 ; it is the number with the highest frequency
9.Mean=Ex/n
=28+26+32+24+27+32+29/7
=28
(b).Median={24,26,27},28,{29,32,32}
=28
(c).Mode=32;it is the number with the highest frequency.
8.Mean=Ex/n
=3.5+5.7+9.8+7+12.4+10.2/6
=8.1
(b).Median={3.5,5.7},7,9.8,{10.2,12.4}
=7+9.8/2
=8.4
(c).Mode=no mode
10.Mean=Ex/n
=2+6+9+8+8+2+8+7+5+4/10
=5.9
(b).Median={2,2,4,5},6,7,{8,8,8,9}
=6+7/2
=6.5
(c).Mode= 8;it is the number with the highest frequency.
I hope this helps.
Please help thank you!
Answer:
2
Step-by-step explanation:
X^2+Y^2=4=2^2
Question 1: Use the image and your knowledge of the isosceles triangle to find the value of x
Answer:
35 degrees
Step-by-step explanation:
since both sides are equal, so are the angles involved.
What is the square root of 538?
Answer:
23.1948270095
Step-by-step explanation:
Which property would allow you to use mental computation to simplify the problem 27 + 15 + 3 + 5?
Answer:
commutative property of addition.
a sequence of additions can be done in any order and the total remains the same.
Step-by-step explanation:
so, we can actually do
27 + 3 + 15 + 5
and now it is easy to combine 27+3 to 30 and 15+5 to 20, and to make the final calculation of 30 + 20 = 50 in our minds.
What is the area of this figure
Answer:
178m squared
Step-by-step explanation:
make 3 rectangular shapes
shape 1 ) 18×5=90
shape 2) 13×6= 78
shape 3) 5×2=10
Add up all the answers and that's the ans
90+78+10=178