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Hal says the volume of the sphere shown below is 36 cm³.Find the correct volume, using 3.14 for π. Round to the nearest hundredth. What was Hal's likely error? Use the drop-down menus to explain your answer.
Radius of the sphere = 3 cm
Answer:
a) The volume of the sphere = 113cm³
b) Hal's likely error was :
He used the wrong formula and did not make use of π = 3.14 in his calculation.
Step-by-step explanation:
a) The Volume of a Sphere = 4/3πr³
The radius of the sphere = 3cm
π = 3.14
The volume of the sphere = 4/3 × 3.14 × 3³
= 113.04 cm³
Approximately to the nearest hundredth = 113cm³.
b) Hal's likely error comes in two forms:
1) He used the wrong formula which is Surface area of the sphere(4πr²) in his calculation instead of the right formula which was the Volume of a Sphere(4/3πr³)
ii) Also he did not use π in his calculation.
This means Hal's calculation=
Surface Area of a Sphere = 4πr²
But Hal's used = 4r²
Where r = 3cm = 4 × (3cm)²= 36 cm³
This is wrong.
WHAT. Is. THIS. pls haaaaaaalp
Answer: 56
Step-by-step explanation:
PLEASE HELP!! WILL MARK BRAINLIEST IF CORRECT! Given the point (5, 12), apply the rule and tell the image after the translation as an ordered pair with no spaces.
(x,y) --> (x + 2, y - 7)
Answer:
(7, 5)
Step-by-step explanation:
(5,12)
x : 5 + 2 = 7
y : 12 - 7 = 5
(7,5)
The value of (x, y) --> (7, 5).
What is an ordered pair?
An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.
Given point is (5,12)
We have to solve for
(x,y) --> (x + 2, y - 7)
Now put x=5 in x+2
x = 5 + 2
= 7
and, y= 12 in y-7
y = 12 - 7
= 5
Hence, (x, y) --> (7, 5).
Learn more about ordered pair here:
https://brainly.com/question/11740961
#SPJ2
One type of candy mix contains 30% Smarties by mass. A second type contains 20% Smarties by
mass. What mass of the 30% mix is required to make a 500 gram mixture that will have 24%
Smarties by mass?
Answer:
200 grams
Step-by-step explanation:
Let us represent
The number of grams of
30% smarties = x
20% smarties = y
Hence:
x + y = 500
x = 500 - y
Hence:
30% × x + 20% × y = 24% × 500
0.3x + 0.2y = 120
Substitute 500 - y for x
Hence:
0.3(500 - y) + 0.2y = 120
150 - 0.3y + 0.2y = 120
Collect like terms
- 0.3y + 0.2y = 120 - 150
- 0.1y = -30
y = -30/0.1
y = 300
Solving for x
x = 500 - y
x = 500 - 300
x = 200
Hence,
The number of grams of
30% smarties = x = 200 grams
20% smarties = y = 300 grams
Therefore:
the mass of the 30% mix is required to make a 500 gram mixture that will have 24% Smarties by mass is 200 grams
Help!! Please
I need the simplified form
Answer:
1/2
Step-by-step explanation:
3.2/.8=
help pls
also the steps to doing it.
Answer:
4
Step-by-step explanation:
I don't really know how to show the steps, but one of the easiest ways to do this is to see how many times 0.8 goes into 3.2. So 0.8 + 0.8 + 0.8 +0.8 = 3.2 So 3.2/0.8 is 4
Or you can multiply the numerator and denominator by 10, which keeps the value of the fraction but gets rid of pesky decimals: 32/8 this should be fairly straight forward and a key reason to memorize your times tables. 8*4=32
What is the volume of the following rectangular prism?
8/3units
21/2units2
Volume =___ units3
Answer:
73.5
Step-by-step explanation:
Step 1: 21/2 divided by 2 = 21/4
Step 2: 21/4 times 21/4 times 8/3 =
Answer: 73.5
The green shaded box is there to show that that is the base are to find the two sides that were multiplied to get that do the first step. Then do your basic volume formula: length times width times height.
Click on the graph below to create a quadrilateral with vertices at the following points
(8,0), (8,7), (0,0), (2, -6)
Answer:
Look at the picture for the answer :D
Step-by-step explanation:
The x coordinate comes first, then the y.
what is the vertex of this quadratic?
Answer:
vertex = (3, 2 )
Step-by-step explanation:
The vertex is the turning point of the graph.
This occurs at (3, 2 ) ← vertex
Answer:
The vertex is at (3, 2)
Step-by-step explanation:
Hello!
VertexThe vertex of a parabola is the point of turning, or the minimum/maximum point of the parabola.
Since the graph opens up, the vertex is at the minimum point.
The y-value is 2, and the x-value is 3, giving us the vertex of (3, 2)
Other PartsThere are other parts to parabola than just the vertex.
Standard form of a quadratic: [tex]ax^2 + bx + c[/tex]
Other parts include:
Axis of Symmetry, the line where the parabola is exactly symmetrical, and when folded in half, the sides will match. It is found using the formula [tex]-\frac{b}{2a}[/tex]X-intercepts, also known as the roots or zeroes of the graph, is where the graph touches the x-axis. It is found using the quadratic formula:[tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex]Y-intercepts, the point where the graph hits the y-axis. It is the "b" value in the equation.PLS HELP THIS IS MY FINALS
[tex]\boxed{c.\:n\:=\:18}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{6}{n} = \frac{14}{42} \\ ⇢ n = \frac{6 \times 42}{14} \\ ⇢ n = \frac{252}{14} \\ ⇢ n = 18[/tex]
[tex]{ \bf{ \underbrace{To\:verify:}}}[/tex]
[tex] \frac{6}{n} = \frac{14}{42} \\ ⇢ \frac{6}{18} = \frac{14}{42} \\ ⇢ \frac{1}{3} = \frac{1}{3} \\ ⇢ L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.ඞ}}}}}[/tex]
hi! i’ll give brainliest please help
Answer:
Is it deposition
Step-by-step explanation:
please help due soon!!! will mark brainlyist if right
Step 1: Find the slant height
10^2 + 28^2 = c^2
884 = c^2
c = [tex]\sqrt{884}[/tex]
Step 2: Find the lateral area
LA = pi * radius * slant height
LA = pi * 10 * [tex]\sqrt{884}[/tex]
LA (rounded to the nearest tenth) = 297.3pi in^2
Step 3: Find the area of the base circle
A = pi * r^2
A = pi * 10^2
A = 100pi in^2
Step 4: Add the areas together
SA = 297.3pi + 100pi
SA = 397.3pi in^2
Hope this helps!! :)
A lifeguard at a community swimming pool earns $56 in 7 hours. How much does the lifeguard earn per hour?
Answer:
$8
Step-by-step explanation:
7/7 = 1
56/7 = $8
The value of a home is $899,000 and increasing in value at a rate of 1% per year. Use an exponential growth function to find the approximate value of the home in 12 years.
Answer:
$1012993.2
Step-by-step explanation:
Given data
Cost of home V= $899,000
Rate of increase= 1%
Time= 12 years
The exponential growth function is expressed as
A=V(1+r)^t
A=899000(1+0.01)^12
A= 899000(1.01)^12
A= 899000*1.1268
A=$1012993.2
Hence the cost of the home will be $1012993.2
HELP I CANT FAIL AGAIN
Answer:
49
Step-by-step explanation:
Y-intercept for y=x2+6x-27
Answer:
y-intercept is -27
Step-by-step explanation:
Ryan works part-time at a local department store.He earns 12.50 an hour . During a one week period he worked a total of 32 hours. What was Ryan's gross income for one week
Answer:
400
Step-by-step explanation:
12.50times 32
PLZZZZZZZZZZZZ PLZZZZZZZZZZZZ help asap thank you no links please and thank you .
Answer:
p = 4n
p = 312 passengers
n = 19.5 cars
Step-by-step explanation:
Let
n = number of cars
p = number of passengers
a. p = 4n
b. p = 4n
Find p if n = 78
p = 4n
p = 4 * 78
p = 312 passengers
c. Find n if p = 78
p = 4n
78 = 4n
Divide both sides by 4
78 / 4 = 4n / 4
19.5 = n
n = 19.5 cars
A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 9 inches, a width of 3 inches, and a height of 1 1/2
inches. What is the surface area?
Answer:
90
Step-by-step explanation:
Formula is:
2(wl + hl +wh)
plug in values and calculate
pls answer thank you
435.6
mark me brainliestt pls :)))
What is the probability of drawing a red marble?
2/5
45%
1/3
9/11
Answer:
45%
Step-by-step explanation:
Counting the marbles, there are 5 green, 6 blue and 9 red.
Which means the odds of drawing a red to a non red are 11:9
In fraction form that would be 9 marbles out of 20 are red. 9/20
Since the fraction cannot be simplified, we can go to decimal form.
9/20=.45
.45=45%
The answer is 45%.
Answer:
45%
Step-by-step explanation:
Total = 20
Red = 9
9/20 = 0.45
Therefore 45 % is the correct option :))
Find the number of solutions to the equation n -9 = n + 9.
Answer:
I think n=0 because
-9-9=n
0=n also as n=0
If your inequality has these signs, will you have an Opened or Closed circle on your number line graph? > or <
Answer:
it will be opened but if it's for the < and > with a line underneath each of them, the circle with be closed
The temperature in Elmwood is 5°C. The temperature in Gainesville is 9°C cooler than the temperature in Elmwood. The temperature in Knowlton is 12°C warmer than the temperature in Elmwood. Which equation shows the temperature in °C in Knowlton?
what is street art and how do it help us share are cultures
Answer:
Street art can help us commute more interesting. It can make people cheerful surprised and happy. Street art is a form of artwork
Step-by-step explanation:
y u put this in math subject when this isn't even math?
Which type of insurance covers potential damages to a personal car?
A.
automobile insurance
B.
homeowners insurance
C.
renters insurance
D.
travel insurance
The Object in question is a car, hence the type of insurance cover is
A. automobile insurance
Insurance of VehicleMotor Vehicle Insurance
This is a type of insurance that car owners purchase to cover for damages that may occur to their vehicle.
There are basically two type of Vehicle insurance
Comprehensive InsuranceThird Party InsuranceLear more about insurance of vehicle here:
https://brainly.com/question/25855858
Answer:
Renter's Insurance
Step-by-step explanation:
HELP ME PLEASE!! π∆π π∆π
Applying the Pythagorean theorem, Find the measure of the missing side of a right triangle if one leg is 7 cm and the hypotenuse is 25 cm.
Answer:
24
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
7^2 + b^2 = 25^2
49 + b^2 = 625
Subtract 49 from each side
49+b^2 -49 = 625-49
b^2 = 576
Take the square root of each side
sqrt(b^2) = sqrt(576)
b = 24
Step-by-step explanation:
[tex]hypotenuse {}^{2} \: = base {}^{2} + \: perpendicular {}^{2} \: \\ \\ base {}^{2} = 25 {}^{2} - 7 {}^{2} \\ \\ base {}^{2} = 625 - 49 \\ \\ base {}^{2} = 576 \\ \\ base = \sqrt{576} \\ \\ base = 24 \\ \\ [/tex]
8. Solve the equation
x² - 1 = 48
Answer:
x^2-1=48
x^2=48+1
x^2=49
x=[tex]\sqrt{49}[/tex]
x=7
Step-by-step explanation:
its not b, i just have it hovered over it
Which angles are vertical angles and, therefore, congruent? 3 lines intersect to form 8 angles. From top left, clockwise, the angles are A, B, C, D, H, G, F, E. Angle A and Angle D Angle A and Angle G Angle A and Angle E Angle A and Angle F
Answer:
A and F
Step-by-step explanation:
Given
Intersecting lines
Required
The vertical and congruent angles
The two vertical lines are not parallel. So, we cannot conclude any relationship between angles A, B, E, F and angles C, D, H, G
Comparing angles A, B, E and F; we have:
[tex]\angle A = \angle F[/tex] --- Vertical opposite angles
[tex]\angle B = \angle E[/tex] --- Vertical opposite angles
From the given options,
[tex]\angle A = \angle F[/tex] is true
Help please the question is on the image
Answer:
2
Step-by-step explanation: