A water-walking ball has a volume of approximately 4.19 m 3 . What is the radius, r, of the ball?
Answers
[tex]~~~~~~V = 4.19 \\\\\implies \dfrac{4}3 \pi r^3 = 4.19\\\\\implies r^3 = \dfrac{4.19 \times 3}{4\pi}\\\\\implies r^3 = \dfrac{12.57}{4\pi} \\\\\implies r = \sqrt[3]{\dfrac{12.57}{4\pi}}\\\\\implies r= 1.00009..\\\\\implies r \approx 1~ m[/tex]
The value of radius of water-walking ball is,
⇒ r = 1.003 m
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A water-walking ball has a volume of approximately 4.19 m³.
Since, We know that;
Volume of sphere = 4/3πr³
Hence, We get;
⇒ 4.19 = 4/3 × 3.14 × r³
⇒ r³ = 1.001
⇒ r = 1.003 m
Thus, The value of radius of water-walking ball is,
⇒ r = 1.003 m
Learn more about the mathematical expression visit:
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Related Questions
Does the point (-5, 10) satisfy the inequality y = 5x + 9?
Yes or no
Answers
Answer:
no
you can subsitute x = -5 into y= 5x+9 and the ans should be -16 instead of -10
so it does not satisfy
Hello!
In order to see whether or not a point satisfies an equation, just plug in the values:-
Instead of y, plug in 10:-
10=5x+9
Instead of x, plug in -5:-
10=5(-5)+9
Solve:-
10=-25+9
10=-16
See? We have a false statement.
Hence, this point does not satisfy the inequality.
I hope it helps you.
If you have any queries regarding my answer, please comment :)
[tex]\bf{CupcakeRealm8701~:)}[/tex]
What is the perimeter of this rectangle pls help
Answers
P=(2*4)+(2*8)
P=8+16
P=24
Answer:
24
Step-by-step explanation:
Perimeter of a shape = sum of all lengths of sides
⇒ Perimeter of a rectangle = (2 × width) + (2 × length)
From inspection of the rectangle:
width = 4length = 8⇒ Perimeter = (2 × 4) + (2 × 8)
= 8 + 16
= 24
O is the center of the regular octagon below. Find its area. Round to the nearest tenth
if necessary.
Answers
The following solution is arrived at by using the formula for the area of a regular octagon in relation to its Apotem which in this case is 18. Hence the area of the Octagon given is 1,446.
What is an Apothem?An apothem is defined as a line from the center of a regular polygon at right angles to any of its sides.
What is the area of a Regular Octagon?The calculation for this shape using only it's apothem has some curved bends. In order to derive the area, we have to divide the octagon into triangles.
When we find the area of the triangles we can then multiply by the total number to get the area of the Octagon.
Hence we can say that the area of the Octagon (A) = (1/2b*h)n
Where b = base
h = height
n = number of triangles.
Recall that the total angle in a circle is 360°, hence given that all the triangles are equal, we must divide 360° by 8 triangles to get the angle in the vertex of each triangle.
Thus, 360°/8 = 45°
So we have The angle of our triangle which is opposite the base.
Recall that the triangle is split in two so that each of the triangles are right-angled triangle,
Hence, the angle opposite the base for each right angle triangle is given as:
45°/2 = 22.5°
So to get the length of the opposite side (x), we use the law of tangents:
Which means:
x = 18 Tan 22.5°
= 18 * 0.55785173935
≈ 10.04
So if x is ≈ 10.04, then area of that triangle is
= 1/2 * 10.04 * 18 (that is 1/2bh)
= 90.3792
From the above, we can state that the Area of the triangle with the Apothem is
= 90.3792 * 2
= 180.74
Recall our formula for finding the area of the octagon:
A = (1/2bh)n
A = (108.74) *8
A = 1,445.95
≈ 1,446
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I need help with this what is the answer to this problem?
Answers
Answer:
62.9 inches^3
Step-by-step explanation:
Find the area of both using the formulas then add them togther
r = radius = 4/2 = 2
h = height = ;cone = 3;cylinder = 4
cylinder volume = pie*2^2*4=50.3
cone volume = pie *2^2*3/3=12.6
total = 62.9 inches^3
Can someone please help me on this?
Answers
Answer:
see image
Step-by-step explanation:
You graph a piecewise function just like three separate graphs. See where there is a greater than > or less than < symbol (without the "or equal to" line underneath) these will have open circle endpoints. See image.
The talent contest has a total of $1000 in prize money. What is the amount of money for each of the five prizes? Show your work. Enter your answers and your work in the box provided.
Answers
Answer:
1000/5=200?
There are five prizes?
Each one has an equal amount?
Which postulate proves these two
triangles are congruent?
A. SSA
B. HL
C. ASA
D. SAS
Answers
Answer:
B
Step-by-step explanation:
Remark
If the Hypotenuse and a corresponding leg in one right triangle = the Hypotenuse and corresponding leg of the second right triangle, then the triangles are congruent.
Answer
HL
What is the simplified form of each expression?
-(10) ^-1
A) -1/10
B)- 1/-1^10
C) 1/10
D)10
1/c^-5
A) c^5
B) 5c
C) -c^5
D) - 5/c
What is the value of y^-5/x^-3 for x = 2 and y = -4?
A) 10/3
B) 128
C) - 1/128
D) -128
Is the number written in scientific notation, if not explain, 5.1 x 10^-8?
A) Yes; the number is written in scientific notation
B) No; the first factor is not a number between one and ten
C) No; it is not written as a number times a power of ten
What is the number written in standard notation 5.71 x 10^-3?
A) -171.3
B) 0.0571
C) 0.000571
D) 0.00571
Suppose that the diameters of different types of hairs are 1.7 x 10^-4 cm, 1.4 x 10^-3 cm, 1.2 x 10^-5 cm, and 1.9 x 10^-4 cm? What is the order of the hairs from least to greatest's diameter?
A) 1.9 x 10^-4, 1.7 x 10^-4, 1.4 x 10^-3, 1.2 x 10^-5
B) 1.2 x 10^-5, 1.7 x 10^-4, 1.9 x 10^-4, 1.4 x 10^-3
C) 1.9 x 10^-4, 1.7 x 10^-4, 1.2 x 10^-5, 1.4 x 10^-3
D) 1.2 x 10^-5, 1.4 x 10^-3, 1.9 x 10^-4, 1.7 x 10^-4
What is the expression written using each base only once (-4) ^-6 (-4) ^7?
A) 4^13
B) -4
C) 13
D) 1
Find the simplified form of the expression. Give your answerer in scientific notation.
(3 x 10^6) (8 x 10^-4)
A) 1.1 x 10^3
B) 2.4 x 10^3
C) 1.1 x 10^-23
D) 2.4 x 10^-23
What is the simplified form of the expression (m^7) ^2?
A) 2m^14
B) m^49
C) m^9
D) m^14
What is the simplified form of the expression t^8 (t^10) ^0?
A) t^-80
B) t^80
C) t^8
D) t^-8
What is the simplified form of the expression (3q^2) ^4?
A) 3q^16
B) 81q^6
C) 3q^8
D) 81q^8
What is the simplified form of the expression (3xy^3) ^2(xy) ^6?
A) 9x^8 y^12
B) 3x^8 y^12
C) 2x^3 y^12
D) 9x^7 y^9
Answers
Answer:
-(10)^-1 = A. -1/10
y^-5/x^-3 for x = 2 and y = -4. C. -1/128
Is the number written in scientific notation, if not explain, 5.1 x 10^-8? A. Yes; the number is written in scientific notation
What is the number written in standard notation 5.71 x 10^-3? D) 0.00571
Suppose that the diameters of different types of hairs are 1.7 x 10^-4 cm, 1.4 x 10^-3 cm, 1.2 x 10^-5 cm, and 1.9 x 10^-4 cm? What is the order of the hairs from least to greatest's diameter? B. 1.2 x 10^-5, 1.7 x 10^-4, 1.9 x 10^-4, 1.4 x 10^-3
What is the expression written using each base only once (-4) ^-6 (-4) ^7? B. -4
Find the simplified form of the expression. Give your answerer in scientific notation.
(3 x 10^6) (8 x 10^-4) B. 2.4 x 10^3
What is the simplified form of the expression (m^7) ^2? D. m^14
What is the simplified form of the expression t^8 (t^10) ^0? C. t^8
What is the simplified form of the expression (3q^2) ^4?
D. 81q^8
What is the simplified form of the expression (3xy^3) ^2(xy) ^6? A. 9x^8 y^12
If f(x)= 2x^3-12x^2+20x-16 and f(4)= 0, then find all the zeros of f(x) algebraically
Answers
Answer:
x = 4 is the only real zeroStep-by-step explanation:
Find the zero's of f(x)
2x³ - 12x² + 20x - 16 = 0x³ - 6x² + 10x - 8 = 0x³ - 4x² - 2x² + 8x + 2x - 8 = 0x²(x - 4) - 2x(x - 4) + 2(x - 4) = 0(x - 4)(x² - 2x + 2) = 0(x - 4)(x² - 2x + 1 + 1) = 0(x - 4)[(x - 1)² + 1] = 0x - 4 = 0 ⇒ x = 4, we already know this(x - 1)² + 1 = 0 ⇒ (x - 1)² = - 1, no real solution as the square is never negativeAnswer:
[tex]x=4, \quad x=1+i,\quad x=1-i[/tex]
(one real zero and 2 complex zeros)
Step-by-step explanation:
Given polynomial:
[tex]f(x)= 2x^3-12x^2+20x-16[/tex]
According to the Factor Theorem, if f(4) = 0 then (x - 4) is a factor of the given polynomial.
[tex]\implies f(x)=(x-4)(ax^2+bx+c)[/tex]
Expand the brackets:
[tex]\implies f(x)=ax^3+bx^2+cx-4ax^2-4bx-4c[/tex]
[tex]\implies f(x)=ax^3+(b-4a)x^2+(c-4b)x-4c[/tex]
Compare coefficients with the given polynomial:
[tex]\implies a=2[/tex]
[tex]\implies -4c=-16 \implies c=4[/tex]
[tex]\implies (b-4a)=-12 \implies b-8=-12 \implies b=-4[/tex]
Substitute the found values of a, b and c:
[tex]\implies f(x)=(x-4)(2x^2-4x+4)[/tex]
To find the zeros of f(x), set the function to zero and solve for x:
[tex]\implies (x-4)(2x^2-4x+4)=0[/tex]
[tex]\textsf{Therefore},\: (x - 4) = 0\: \textsf{ and }\: (2x^2-4x+4)=0[/tex]
[tex]\textsf{To solve}\: (2x^2-4x+4)=0\: \textsf{ use the quadratic formula}[/tex]
Quadratic Formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
Therefore:
[tex]\implies x=\dfrac{-(-4) \pm \sqrt{(-4)^2-4(2)(4)} }{2(2)}[/tex]
[tex]\implies x=\dfrac{4 \pm \sqrt{-16}}{4}[/tex]
[tex]\implies x=\dfrac{4 \pm \sqrt{16 \cdot -1}}{4}[/tex]
[tex]\implies x=\dfrac{4 \pm \sqrt{16}\sqrt{-1}}{4}[/tex]
[tex]\implies x=\dfrac{4 \pm 4i}{4}[/tex]
[tex]\implies x=1 \pm i[/tex]
Therefore, the zeros of the function are:
[tex]x=4, \quad x=1+i,\quad x=1-i[/tex]
(one real zero and 2 complex zeros)
6 times the sum of a number and 2
Answers
Answer:
6 times means 6 multiplied by
The sum of a number and 2 means x + 2
x = number
(2+x) × 6
Find the mean for the following fractions
d
d + 1
d +5
4
12
24
Answers
Answer:
d+d+1+d+5+4+12+24/6
Step-by-step explanation:
add the numbers and divide them by 6
Answer:
3d + 432
Step-by-step explanation:
= d ÷ 4 + d + 1 ÷ 12 + d + 5 ÷ 24
= d + d + d + 1 + 5 ÷ 4 ÷ 12 ÷ 24
= 3d + 6 ÷ 0.013888.....
= 3d + 432
Please mark BRAINLIEST
which one is the missing symbol.
4/5 ? 1/2
A. >
B. <
C. =
Answers
Answer:
[tex] \frac{4}{5} > \frac{1}{2} [/tex]
Step-by-step explanation:
[tex] \frac{4}{5} = 0.8[/tex]
[tex] \frac{1}{2 } = 0.5[/tex]
For every 2 sheep in the field on monday, how many chickens were in the field?
Answers
Answer:
This needs more context im sorry
Step-by-step explanation:
Which construction uses the compass for only one step in addition to drawing the circle itself?
A) an equilateral triangle inscribed in a circle
B) a square inscribed in a circle
C) a regular hexagon inscribed in a circle
D) a diameter of a circle
Answers
Answer: A) an equilateral triangle inscribed in a circle
Step-by-step explanation:
In the mathematical world, a compass is a mathematical tool used for drawing and constructing precise shapes. You have likely seen one of these before, I have attached a visual example of what one might look like.
Out of these given options, the only one that utilizes a compass for one step in addition to drawing the circle itself is A:
A) an equilateral triangle inscribed in a circle
Read more about using a compass here: https://brainly.com/question/27490907
Could you also provide an explanation
Answers
Answer:
Equation: y=mx+b
sorry for taking so long! :)
AC) y=-1, because it is remaining constant and the slope is zero, the y intercept is -1.
AB) The slope is 1 and the y intercept is 1.
So, y=x+1
BC) The slope is -6. The y intercept is harder to find. You can use this equation however;
y-y(1)=m(x-x(1)
y-5=-6(x-4)
y=-6x+29
Find the volume of a cone with a height of 6yd and a base radius of 4yd.
Use the value 3.14 for [tex]\pi[/tex] , and do not do any rounding.
Be sure to include the correct unit in your answer.
Answers
Formula : V = πr²h/3
Fill in the values.
(3.14)(4)^(2)(6/3)
V=100.48 yd^3
The radius,R, of a sphere is8.2mm . Calculate the sphere's volume,V .
Use the value 3.14 for[tex]\pi[/tex] , and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Answers
The answer is 2308.4
Find the slope of the line through the points (3,-4) and(-5,2)
Answers
Use the slope formula:-
[tex]\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug in the values:-
[tex]\displaystyle\frac{2-(-4)}{-5-3}[/tex]
[tex]\displaystyle\frac{2+4}{-8} =\frac{6}{-8} =-\frac{6}{8}[/tex]
Reduce the fraction by dividing the top & bottom by 2:-
[tex]-\displaystyle\frac{3}{4}[/tex]
[tex]\uparrow\sf{Slope}[/tex]note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached. the heights of the trapezoids and the apothem of the hexagon measure 2 centimeters each, and the legnth of the shorter base of each trapezoid is 1.5 centimeters. what is the total area of the face of the watch to the nearest tenth of a square centimemter?
Answers
The total area of the face of the watch to the nearest tenth of a square centimemter is 9.0 cm²
Since an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached. The heights of the trapezoids and the apothem of the hexagon measure 2 centimeters each, and the length of the shorter base of each trapezoid is 1.5 centimeters, the radii of the hexagon, and the base of the trapezoid form a triangle of
height, h = apothem of the hexagon = 2 cm and base, b = length of shorter base of trapezoid. Area of the triangleSo, the area of this triangle is A = 1/2bh
= 1/2 × 1. 5 cm × 2 cm
= 1.5 cm × 1 cm
= 1.5 cm²
Area of the hexagonSince there are 6 of such triangles in the hexagon, the area of the hexagon, A' = 6A
= 6 × 1.5 cm²
= 9.0 cm²
So, the total area of the face of the watch to the nearest tenth of a square centimemter is 9.0 cm²
Learn more about area of a hexagon here:
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Someone please help me I'm desperate. I'll also mark brainliest
#1 The area of the composite figure is...
#2 The area of the composite figure is...
#3 The area of the shaded figure is...
Answers
I am not sure but according to my calculation answer of no.1 may be 67. And I am in 8 grade so I couldn't solve others. So sorry !!
Solve for x to the nearest tenth.
Answers
Answer: 6.9
Step-by-step explanation:
Solve for the hypotenuse in the smaller triangle 5.83
Solve for x²= 9² - 5.83² = 81 - 33.99
X² = 47.01
The Build-Your-Own-Sailboat booth that Althea visited gave her and hers friend the chance to make a sailboat model. Each boy chose a different quadrilateral for a sail. Althea chose a trapezoid, and her friend chose a parallelogram.
(a) Compose each shape into a rectangle to determine the area. The formula for area of a rectangle is A = lw . What is the area of each quadrilateral?
(b) Althea said that all quadrilaterals can be decomposed into triangles to find the area of the quadrilateral. Is this statement always true, sometimes true, or always false? Give two examples to support your answer.
Answers
A quadrilateral is a four sided figure. It is possible to decompose the quadrilaterals to give two triangles by taking apart the diagonal that runs across the figure
What is a quadrilateral?A quadrilateral is a four sided figure. The images are not shown here so we don't know what the dimensionof each figure is.
It is possible to decompose the quadrilaterals to give two triangles by taking apart the diagonal that runs across the figure and find the area of the two triangles in order to obtain the area of the orginal figure.
Learn more about quadrilateral: https://brainly.com/question/13805601
A bag of marbles has 3 red, 1 green, and 7 yellow marbles. What is the probability of selecting a green and then a yellow with replacement?
Answers
Three 3-digit numbers are formed using the digits 1 through 9 exactly once each. The hundreds digit of the first number is 1. The tens digit of the second number is 8. The units digit of the third number is 5. The ratio of the first number to the second number to the third number is 1:3:5, respectively. What is the sum of the three numbers?
Answers
Answer:
1161
Step-by-step explanation:
We can solve this using what we know about multiples of 3 and 5. Multiplying the first number by 3 will give the value ...
1?? × 3 = 38? . . . . where ? is an unknown digit
The two least significant digits in the first number must be ones that give 80-something when multiplied by 3. They will be between 80/3 = 26 2/3 and 90/3 = 30. The requirement that the least significant digit be odd* means the choices are 27 or 29.
When the first number is 127, its triple is 381. The 1 in the least significant digit is disallowed by the requirement that the 9 digits of these numbers be unique. (127 already has 1 as its most-significant digit.)
So, the first number is 129, making the second number be 3×129 = 387, and the third number be 5×129 = 645.
The numbers have the ratios ...
129 : 387 : 645 = 1 : 3 : 5 . . . . . . . as required.
We note that the digits 1–9 are used exactly once each, as required.
The sum of the numbers is 1161.
_____
* Only odd numbers will give a product that ends in 5 when they are multiplied by 5. The requirement that the third number have a ones digit of 5 means the ones digit of the first number must be odd.
What is the common ratio for the sequence:
28, -14, 7, -3.5...
Answers
What is the area of triangle PQR rounded to the nearest tenth of a square meter? Drawing is not to scale.
Answers
Answer:
A 31.3
Step-by-step explanation:
just took the test
Answer:
27.0m^2
Step-by-step explanation:
Use the formula A = 0.5 * a * b * sin (x)
this formula is used for obtuse angles where a & b are the sides (12,7) and x is the angle between them.
Fill in the blanks:
A = 0.5 * 12 * 7 * sin (40)
use demos scientific calculator
A= 26.99
round up
27.0 m^2
I got a question saying 1 Billon times 43 Millon, how is anyone appost to know this
Answers
[tex]1000000000 \times 43000000 = 43000000000000000[/tex]
i do not understand this please help
Answers
Answer: 7.4.
Step-by-step explanation: To find the area of a triangle, you need the base, height, and then divide the results by two. The following is done below:
A = h x b / 2, where h is the height, b is the base, and A is the area of the triangle.
A = 3.7 x 4 = 14.8.
Next, 14/8 / 2 = 7.4.
Therefore, 7.4 is your answer.
Hope this helps! :)
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Given data:
1, 2, 2, 2, 2, 2, 3, 3, 3, 4, 81. Determining the range of the line plot:
To determine the range of the data, we need to subtract the biggest value of the data (8) from the smallest value of the data (1).
⇒ Range of a data: Biggest number - Smallest number⇒ Range of a data: 8 - 1⇒ Range of a data: 7Thus, 7 is the range.
2. Determining the mode of the line plot:
The mode of the data is the digit that has repeated the most. In this case, the digit "2" has repeated five times and has repeated the most.
Henceforth, "2" is the mode.
Learn more about range and modes:
https://brainly.com/question/1225785https://brainly.com/question/25775375Answer:
Range = 7
Mode = 2
Step-by-step explanation:
Question (a)
Range = Highest value - Lowest value
= 8 - 1
= 7
Question (b)
The mode is the most common value that appears in the data.
From inspection of the line plot, we can see that 2 is the most common value (the value that appears the most in the data set).
f(x) = –2x2 + 4x and g(x) = x2 + 18x + 77.
What is (f•g)(x) in standard form?
Answers
Step-by-step explanation:
I take it this is meant to be a multiplication, right ?
not a "function of function", which would be symbolized by a little empty circle.
to multiply 2 function means basically the same as to add, subtract or divide 2 functions : to apply the arithmetic operation in both expressions.
(f×g)(x) = (-2x² + 4x)(x² + 18x + 77) =
= -2x⁴ - 36x³ - 154x² + 4x³ + 72x² + 308x =
= -2x⁴ - 32x³ - 82x² + 308x