George Carrillo
What is the surface area of the sphere?
20 cm
Right
Rectangular S.A. = 2(lwt wh+ hl)
Prism
Right Prism S.A - ph+28
Right
Cylinder
SA. - 2 + 2 trh
Right Cone S.A = x +
Regular
pl
S.A = +8
Pyramid
Sphere SA 4
Cylinder Vrh
Cone
v-garn
Vrh
Pyramid
V-B
A 3207 cm
B 4007 cm
Sphere
VG
C 1600 cm
D 32007 cm
Answers
Answer:
1600π cm^2.
Step-by-step explanation:
S. A. of a sphere = 4πr^2
= 4 π 20^2
= 1600π cm^2
Related Questions
Which is the graph of f(x) = x^2 – 2x + 3?
Answers
Answer:
The first graph
Step-by-step explanation:
-2x is the key here, when you add a subtraction sign to the x-axis it goes right.
+2x would be the graph on the bottom because it is translated to the left.
So the first graph on your picture is the answer.
Answer+Step-by-step explanation:
x² – 2x + 3 = (x - 1)² + 2
Then
The vertex of the parabola is the point (1 , 2)
then
The graph number 1 (on top) is the one which represents f
Helppp!
The net of a solid figure is shown below:
Four squares are shown side by side in a row. The second square has a square above it and a square below it. All the squares have side length equal to 3 inches
Which calculation will give the total surface area of the solid figure?
3 ⋅ 6 ⋅ 6 square inches
6 ⋅ 3 ⋅ 3 ⋅ 3 square inches
3 ⋅ 6 ⋅ 6 ⋅ 6 square inches
6 ⋅ 3 ⋅ 3 square inches
Answers
Answer:
It's the the 4th one. 6.3.3
Question Number 14 of 20 - Geometry The equation of line kis y = = 1 -X – 2. The equation of line m is -2x + 6y = 18. Lines k and m are - 3 F perpendicular G intersecting but not perpendicular H parallel I the same line
Answers
Based on the calculations, the two lines have the same slope but different intercepts and as such are parallel.
The condition for two parallel lines.In Geometry, two lines are considered to be parallel under the following conditions:
m₁ = m₂
Note: m is the slope.
For two perpendicular lines, we have:
m₁m₂ = -1.
From line k, we have this equation:
y = 1/3x - 2
From line m, we have this equation:
-2x + 6y = 18.
6y = 18 + 2x
y = 18/6 + 2/6x
y = 1/3x + 3.
Therefore, we can deduce that the two lines have the same slope (1/3) but different intercepts and as such are parallel.
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Which is the graph of y-3=-2/3(x+6)
Answers
Answer:
The first graph.
PLEASE HELP! WILL GET BRAINLEST
Answers
Answer:
See below ~
Step-by-step explanation:
Question 12
Numbers greater than 3 : 5Total numbers : 8P (number > 3) = 5/8Multiply with 4005/8 x 4005 x 50250 timesQuestion 17
Part A
Possible outcomes = {HT, HH, TH, TT}Part B
P (heads at least once) = Outcomes with at least one "H" / TotalP (heads at least once) = 3/4I need the numbers please con y’all help me
Answers
Answer:
[tex]y=\frac{2}{3}x+4[/tex]
Step-by-step explanation:
Calculate the slope by using rise over run to get 2/3x
The Y Intercept is 4
Does anybody know how to solve this?
Answers
The area of the rectangle in the form of a polynomial is 40(x² + 6x + 5). If the width is 160 ft, then the area of the rectangle is 57,600 square ft.
What is a rectangle?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
If the length and width of the rectangle are (10x + 10) and (4x + 20). Then the area of the rectangle will be
Area = (10x + 10)(4x + 20)
Area = 40x² + 200x + 40x + 200
Area = 40x² + 240x + 200
Area = 40(x² + 6x + 5)
If the width is 160 feet then the value of x will be
4x + 20 = 160
4x = 140
x = 35
Then the area of the rectangle will be
Area = 40(35² + 6 × 35 + 5)
Area = 40(1225 + 210 + 5)
Area = 40 (1440)
Area = 57,600 square ft
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Charlie raked 23 piles of leaves. jessie raked 14 piles of leaves.
how many more piles of leaves did charlie rake than jessie?
Answers
answer : 9
Silvia was asked to find the Sin(D). her response was 12/15. the teacher said Silvia answer was incorrect what did she do wrong? how can she fix it?
Answers
So new answer will be 3/5
Have a good day.
What is the average rate of change in f(x) over the interval [4,13]? on a coordinate plane, a function has four points that are connected by lines. the points are (0, 0), (4, 8), (10, 5), and (13, 12). one-third four-thirteenths eleven-thirteenths eleven-eighths
Answers
Using it's concept, it is found that the average rate of change of the function over the interval [4,13] is given by:
[tex]\frac{4}{9}[/tex]
What is the average rate of change of a function over an interval?It is given by the change in the output divided by the change in input.
In this problem, we have points (4,8) and (13,12), hence the rate of change is given by:
r = (12 - 8)/(13 - 4) = 4/9.
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Answer:
B
Step-by-step explanation:
4/13
Match each cone to its corresponding volume imaged attached down below.
Answers
Answer:
Left side Right side
1 3
2 2
3 1
Step-by-step explanation:
left side on the picture right side on the picture
One number is five more than another number. If the square of the smaller number is 3 more than 3 times the larger number, what are the numbers?
Answers
Answer:
6 and 11
Step-by-step explanation:
n1 = n + 5
ns^2 = 3 + 3nb
6^2 = 3 + 3(11)
36 = 3 + 33
11 = 6 + 5
> 4
Ansley ate 12 of a bag of popcorn. Erica
ate 12 of the same bag of popcorn. What
fraction of the bag of popcorn did Ansley
and Erica eat in all?
Answers
1 point
A rectangular room measures 13 feet by 16 feet. You want 1/3rd of it to turn into a new half bathroom. How much sq feet is left to the nearest whole sq foot?
A) 155 sqft
B) 188 sq ft
C) 139 sq ft
D) 88 sq ft
Answers
Answer:
D
Step-by-step explanation:
13x16=208
208/3= 69 reapeated.
If tan x° = 6 divided by g and sin x° = 6 divided by h, what is the value of cos x°? cos x° = h divided by g cos x° = g divided by h cos x° = gh cos x° = 6g
Answers
The value of cos x⁰ from the information given is; g/h.
What is the value of cos x⁰?According to the task content;
The value of cos x° from the information contained in the task content is required.
From conventional Trigonometry;
It follows that tan x = sin x/cos x.
On this note, it follows that;
cos x⁰ = sin x⁰/tan x⁰.
cos x⁰ = 6/h ÷ 6/g
cos x⁰ = g/h
Ultimately, the value of Cos x⁰ by evaluation is g/h.
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Answer:
cos x° = g divided by h
Step-by-step explanation:
Find the area of a circle with a radius of 9. Leave the answer in terms of π.
Answers
Answer:
A = 81π units²
Step-by-step explanation:
the area (A) of a circle is calculated as
A = πr² ( r is the radius ) , then
A = π × 9² = 81π units²
What fraction of a clock is represented if the hands are at the 12 and 3
Answers
Answer:
fraction :4
Step-by-step explanation:
Which equation is y = 9x2 9x – 1 rewritten in vertex form? y = 9 (x one-half) squared minus thirteen-fourths y = 9 (x one-half) squared minus 1 y = 9 (x one-half) squared five-fourths y = 9 (x one-half) squared minus five-fourths
Answers
Answer:
A
Step-by-step explanation:
You flip a coin and you roll a standard 6 sided number die. What is the probability that your flip heads and roll a number less than 3?
Answers
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
p(H and <3)= [tex]\frac{1}{2}[/tex]×[tex]\frac{2}{6}[/tex]
= [tex]\frac{1}{6}[/tex]
10 10 x 10 10 x 10x10 x10
Answers
So basically I did the most easiest way possible with is multiply 1 and 1 and then add the zero and I got 10 so if u add the zeros up 6 more times then we get 10 million or 10,000,000.
Answer:
Step-by-step explanation:
The answer is 10,000,000 because u have to do 10x10x10x10x10x10x10
So basically I did the most easiest way possible with is multiply 1 and 1 and then add the zero and I got 10 so if u add the zeros up 6 more times then we get 10 million or 10,000,000.
Simplify 12 raised to 2/5 into 5 raised to 2/5
Answers
Answer:
60^2/5
Step-by-step explanation:
2^2/5 × 5^2/5
=(12×5)^2/5
=60^2/5
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{12}}^ \mathsf{^ {\dfrac{2}{5}}}\ \huge\boxed{\times}\ \huge\textsf{5}^\mathsf{^ \dfrac{2}{5}}[/tex]
[tex]\huge\boxed{=}\huge\textsf{ 2.70192 }\huge\boxed{\times}\huge\textsf{ 1.903654}[/tex]
[tex]\huge\boxed{= }\huge\textsf{ 60}^\mathsf{\dfrac{2}{5}}[/tex]
[tex]\huge\boxed{\approx}\huge\textsf{ 5.143521}[/tex]
[tex]\huge\text{Therefore, the answer is: \boxed{\textsf{60}^\mathsf{^\dfrac{2}{5}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Cara brought $34.50 to the art supply store. she bought a brush, a sketchbook, and a paint set. the brush was 1 3 as much as the sketchbook, and the sketchbook cost 1 2 the cost of the paint set. cara had $2.00 left over after buying these items.
Answers
Using a system of equations, it is found that the cost of a paint set is of $19.50.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
Variable x: cost of a paint set.Variable y: cost of a sketchbook.Variable z: cost of a brush.Cara brought $34.50 to the art supply store, bought one of each item, and had $2.00 left, hence:
x + y + z = 32.50.
The sketchbook cost half the cost of the paint set, hence:
y = 0.5x.
The brush cost one third of the sketchbook, hence:
z = 0.3333(0.5x) = 0.1667x.
Then, to solve for x:
x + y + z = 32.50
x + 0.5x + 0.1667x = 32.50
x = 32.50/1.6667
x = 19.50.
The cost of a paint set is of $19.50.
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if a = 5+2√6 then find a²-1÷a²
Answers
Answer:
a²+1/a² = 7
Step-by-step explanation:
Given, a = (3+√5)/2
We have to find the value of a² + 1/a².
1/a = 1/((3+√5)/2) = 2/(3+√5)
By taking conjugate,
2/(3+√5) = 2/(3+√5) × (3-√5)/(3-√5)
= 2(3-√5) / (3+√5)(3-√5)
By using algebraic identity,
(a - b)(a + b) = a² - b²
(3+√5)(3-√5) = (3)² - (√5)²
= 9 - 5
= 4
2(3-√5) / (3+√5)(3-√5) = 2(3-√5) / 4
So, 1/a = (3-√5)/2
Now, a² = [(3+√5)/2]²
= (3+√5)²/4
By using algebraic identity,
(a + b)² = a² + 2ab + b²
(3+√5)² = (3)² + 2(3)(√5) + (√5)²
= 9 + 6√5 + 5
= 14 + 6√5
a² = (14+6√5)/4
= 2(7+3√5)/4
a² = (7+3√5)/2
Now, 1/a² = [(3-√5)/2]²
= (3-√5)²/4
By using algebraic identity,
(a - b)² = a² - 2ab + b²
(3-√5)² = (3)² - 2(3)(√5) + (√5)²
= 9 - 6√5 + 5
= 14 - 6√5
1/a² = (14-6√5)/4
1/a² = (7-3√5)/2
a²+1/a² = (7+3√5)/2 + (7-3√5)/2
= 7/2 + 3√5/2 + 7/2 - 3√5/2
= 7/2 + 7/2
= 7
Therefore, a²+1/a² = 7
What is the ratio of lines b : c if A is 77°
Answers
Answer:
3rd option
Step-by-step explanation:
the ratio of b : c is the cos77° , that is
cos77° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{c}[/tex] ≈ 0.224951054.
HELP ASAP PLSSSSSSS
Clara surveyed the students at her school to find out if they like pies and/or sandwiches. The results of her survey are shown in the two-way table below:
Like Pies
Do Not Like Pies
Total
Like Sandwiches
25
43
68
Do Not Like Sandwiches
26
6
32
Total
51
49
100
If a student does not like sandwiches, what is the probability that student also does not like pies?
81.3%
26.0%
23.1%
18.8%
Answers
Answer:
18.8%
Step-by-step explanation:
For calculating this, focus on one part of the table :
The row where students do not like sandwichesThere are 32 students who do not like sandwiches, and 6 of them do not like pies. Take this a proportion :
P (does not like pies, do not like sandwiches) = 6/32P = 3/16P = 18.8%Students who don't like sandwiches also don't like pie is the 2 nd box on 2 nd line
Probability
P(E)=6/32P(E)=6/32×100=3/16×100=18.8%Option D
If f(x) = 2x + 7, find f(5)
Answers
Answer:
17
Step-by-step explanation:
f(x) = 2x+7
Let x =5
f(5) = 2*5 +7
= 10+7
= 17
Which equation represents the directrix? y = –3 y = 3 x = –3 x = 3
Answers
The equation that represents the directrix of y² = 12x is x = -3
How to determine the directrix?The parabola is given as:
y² = 12x
The general equation of a parabola is
(y-y₀)² = 4a(x-x₀)
Where the equation of the directrix is x = x₀ - a
By comparing (y-y₀)² = 4a(x-x₀) and y² = 12x, we have:
4a = 12 and x-x₀ = x
Solve for a in 4a = 12
a = 3
Solve for x₀ in x-x₀ = x
x₀ = 0
Substitute a = 3 and x₀ = 0 in x = x₀ - a
x = 0 - 3
Evaluate
x = -3
Hence, the equation that represents the directrix is x = -3
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Consider the summary statistics from the previous question. The residents pay $0.015 per gallon of usage. What is the standard deviation of the amount paid for monthly water usage
Answers
The standard deviation of the amount paid for monthly water usage is $35.25
How to determine the standard deviation?From the summary statistics, we have:
Standard deviation, σ = 2350
Rate = $0.015
The standard deviation of the amount is calculated using:
σ = Standard deviation * rate
This gives
σ = 2350 * $0.015
Evaluate
σ = $35.25
Hence, the standard deviation of the amount paid for monthly water usage is $35.25
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There are 125 people in a sport centre.
59 people use the gym.
70 people use the swimming pool.
55 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
17 people use the gym and the track.
6 people use all three facilities.
A person is selected at random.
What is the probability that the person uses exactly one of the facilities?
Answers
Answer: 97/125
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words
In circle A. DB has a length 6.47 centimeters. What is m DAB in radians? Round your answer to two decimal places.
2.9 cm B m DAB= radians
I NEED HELP ASAP!
Answers
The measure of angle DAB in the circle shown with the given arc length is: 2.23 radians.
What is the Length of an Arc?Arc length = θ × r, where r is the radius of the circle, and θ is the central angle in radians.
Given the following:
Length of arc = 6.47 cm
Radius (r) = 2.9 cm
θ = m∠DAB
Plug in the values into the arc length formula:
6.47 = θ × 2.9
6.47/2.9 = θ
θ = 2.23 radians
m∠DAB = 2.23 radians
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Answer:
DAB = 2.23 radians
Hope this helps!
Step-by-step explanation: