A sphere has a surface area of 803.84 cm^2. What is the volume?
Answers
Answer:
V≈2143.03cm³
Step-by-step explanation:
The volume of the sphere is 2143.57 cm³.
What is the surface area of the sphere?A = 4 × π × r², where 'r' is the radius of the sphere.
What is the volume of the sphere?V = (4/3) × π × r³
For given example,
a surface area of the sphere is 803.84 cm^2.
⇒ A = 803.84 cm²
Using the formula of the surface area of the sphere,
⇒ 4πr² = 803.84
⇒ r² = 64
⇒ r = 8 cm
Using the formula of the volume of the sphere,
⇒ V = (4/3) × π × r³
⇒ V = (4/3) × 3.14 × 8³
⇒ V = 2143.57 cm³
Therefore, the volume of the sphere is 2143.57 cm³.
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Related Questions
11 point)
Hospital records show that patients suffering from a specific disease die 40% of the
time. If 5 patients have this disease, how many would you expect to survive?
Answers
Answer:
3
Step-by-step explanation:
If 40% of the patients die, then 60% of the patients survive.
60% of 5 = 0.6 * 5 = 3
Factorise fully the following x2+2x
Answers
Answer:
x(x+2) is the answer
Step-by-step explanation:
x²+2x
x(x+2)
During April, he charges $387.92 to the card, and at the end of April, he makes a payment of $400.00. What will be the new balance on his card?
Answers
Samir buys T-Shirts for $10 each and markups the price by 35%. Samira claims that Samir has to mark each shirt up by $3.50.
Is she correct?
Answers
Answer: she is correct
Step-by-step explanation:
35% in decimal form is 3.50
HELP PLEASE FAST
Select the ordered pairs that are solutions to y<2x+5
(-6,6_ (0,8) (2,-1) (-1,3)
Answers
Answer:
c & d
Step-by-step explanation:
[tex]x = - 6 \: \: 6 \leqslant - 12 + 5 \\ \ \\ 6 \leqslant - 7 \: \: \\ \\ \\ x = 0 \: \: 8 \leqslant 5 \\ \\ \\ x = 2 \: \: - 1 \leqslant 4 + 5 \\ - 1 \leqslant 9 \\ \\ x = - 1 \: \: 3 \leqslant - 2 + 5 \\ 3 \leqslant 3[/tex]
hi please help i’ll give brainliest
Answers
Answer:
The answer is B
Step-by-step explanation:
IT SHOWS THAT A SOLAR ECLIPSE OCCURS WHEN THE MOON CASTS A SHADOW OVER EARTH.
Simplify: 6^6/6^−3 Leave your answer in exponential form
Answers
Answer:
6⁹
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Exponential Rule [Dividing]: [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{6^6}{6^{-3}}[/tex]
Step 2: Simplify
Exponential Rule [Dividing]: [tex]\displaystyle 6^{6 - -3}[/tex]Rewrite: [tex]\displaystyle 6^{6 + 3}[/tex]Add: [tex]\displaystyle 6^{9}[/tex]Abdul rented a truck for one day. There was a base fee of $19.99, and there was an additional charge of 76 cents for each mile driven. Abdul had to pay
$181.87 when he returned the truck. For how many miles did he drive the truck?
miles
х
?
Answers
Answer:
The truck drove 213 miles.
Step-by-step explanation:
181.87-19.99= 161.88
161.88÷0.76= 213
helpppppppppppppppppppp
Answers
Answer:
6:5:4
Step-by-step explanation:
6 + 5 + 4 = 15
3000/15 = 200
200 x 6 = 1200 = eldest
200 x 5 = 1000 = 2nd eldest
1200 + 1000 = 2200
3000 - 2200 = 800
200 x 4 = 800 = youngest
Answer 6 : 5 : 4
Step-by-step explanation:
Its simply because
1200 ÷ 6 is 200 which is a whole number... If you divide for example 1200 by 7 it wont give you a whole... And also the first number of the ratio should be the greatest since the first child got the most money and the last the least which means the least should be the smallest number.
The distance between A (-4, 2) and B(4, 2) is.
Answers
Step-by-step explanation:
the answer is 8 units
I remember I had this
hi please help i’ll give brainliest thanks
Answers
Answer:
point A
Step-by-step explanation:
Hope this helps you dude.
Ramsay cuts out a piece from a circular cardboard for a school project. The radius of the cardboard is 10 inches and the measure of the central angle is 54 degrees, as shown.
What is the length of the curved boundary of the piece of the cardboard Ramsay cuts out?
Leave in terms of π.
Answers
Answer:
34 inches
Step-by-step explanation :
54/360 X 20
Use the diagram to answer, given that line LM is a common tangent to circle P and circle Q. Leave answers in simplified radical when necessary. (Please let me know if the first blank is correct and answer the second one.)
Answers
Answer:
PL = 9
PN = 5√5
Step-by-step explanation:
8/12 = 6/PL
8PL = 72
PL = 9
PN² = 10² + 5² = 100 + 25 = 125
PN = √125 = 5√5
Help fast as you can worth 7 points
Answers
Answer:
d
Step-by-step explanation:
Answer: B
Step-by-step explanation: you have to multiply the 4 and 2
The rectangle QPRS is translated 4 units to the up and 6 units to the left. Which rule describes the transformation that was applied to
rectangle QPRS to create rectangle QP'R'S?
o (x,y) → (X-6, y + 4)
o (x,y) → (x-4, y+6)
o (x,y) → (x+4, y-6)
o (x,y) → (X+6 Y-4)
Answers
Answer:
C. (x + 4, y - 6)
Step-by-step explanation:
Going up means to add.
When you go up you are in the positives.
When you go left or down on a graph you are in the negatives.
Hey can you help me fast!!!
Answers
Answer: -15 + 42
Step-by-step explanation:
This is due today please help.
What is the area of the shape.
Answer choices:
24 yd2
36 yd2
39 yd2
30 yd2
Answers
24+6=30
9-6=3
3x4=12/2=6
6x4=24
30 yd^2
circle P is representing by the equation (x - 2)^2 + (y + 2)^2 = 9.
plot point P on the given coordinate plane.
Answers
Answer:
Solution given.(x - 2)^2 + (y + 2)^2 = 9.
comparing above equation with (x-h)²+(y-k)²=r²
we get
centre(x,y)=(2,-2)
radius [r]=3units
H E L P
what is the slope??
Answers
X= 12-6=6
Y= 4-2=2
I got the slope 1/3 I used the points (6,2), (12.4)
pleaseeee help me, i dont have much time to finish
Answers
Answer:
[tex]\sqrt{80} \\OR \\ 5\sqrt{4}[/tex]
Step-by-step explanation:
pythagorean theorm
and then simplify with a factor tree or leave it as is.
BRAINLIEST PLEASE IF RIGHT
Please answer correctly! I will Mark you Brainliest!
Answers
Answer:
the height is 9
Explanation:
8 × 10 = 80
720 ÷ 80 = 9
Omealio received a grade of 80 on Exam 1. If his grade in Exam 2 was 15% higher, what was his grade in Exam 2? Please help
Answers
Answer:
well if the max grade he could get was 100 then you need to find 15% of 100 which is 15, after that add 15 to 80 and you get 95.
his grade for exam 2 was 95
Step-by-step explanation:
15% of 100 = 15
80 + 15 = 95
Answer:
92
Step-by-step explanation:
15 percent of 80 is 12 percent
80 + 12 = 92
Solve using substitution x=-6 6x+10y=14
Answers
Answer:
(-6 , 5)
Step-by-step explanation:
6x + 10y = 14
6(-6) + 10y = 14
-36 + 10y = 14
10y = 50
y = 5
Debbie McAdams paid 6% interest on a $14,500 loan balance. Jan Burke paid $12,480 interest on a $97,500 loan. Based on 1 year
a. What was the amount of interest paid by Debbie?
Interest paid by Debbie
b. What was the interest rate paid by Jan? (Round your answer to the nearesi tenth percent.)
Interest rate paid by Jan
c. Debbie and Jan are both in the 28% tax bracket. Since the interest is deductible, how much would Debbie and Jan each save in
taxes? (Round your answers to the nearest cent.)
Debbie
Jan
Save in taxes
Answers
Answer:
C
Step-by-step explanation:
It cost 0.17 to mail a postcard and 0.25 to mail a letter. If Dykov spent $4.35 and wrote postcards and letters to 19 friends, how many postcards did he mail?
Answers
Answer:
14 Letters and 5 Postcards
Step-by-step explanation:
Plz answer quick! Will give brainiest! <3 No bull answers
Which statement is NOT an accurate comparison of the two dot plots?
A) There is a gap from 7 to 11 for Class A and there is no gap for Class B.
B) Class A is clustered around two areas, while Class B is clustered around the center. C) Class A spreads from 4 to 14, while Class B is spread from 3 to 9.
D) The median for both dot plots is 6.
Answers
Answer:
D
Step-by-step explanation:
The statement which is not an accurate comparison of the two dot plots is stated as: Option D) The median for both dot plots is 6
What are clusters in data?Clusters are groups in data. Each group is like clustered or grouped around some number, usually the mean of that cluster.
Spread, also called range of a data, tells the difference between the maximum and minimum value of that data, thus showing how much widely is it spread.
Thus, spread = maximum value - minimum value
For this case, we see that there are two clusters for class A and for class B there is only single cluster which is almost separated but not distinctly forming two clusters.
Class A spreads from minimum 4 to maximum 16, thus its spread is 16-4 = 12 units wide.
Class B spreads from minimum 3 to maximum 9, thus, its spread is 9-2 = 6 units wide.
Also, we can see that for class A, there is a gap from 7 to 11.
So all three options A, B and C are correct.
Now, let we find median.
Median is that value which is in mid of ordered (ascending or descending data set).
For class A, we have the data as:
4,4,4,4,4,5,5,5,6,6, 12,13,13,13,14,14
They are total 16 observations. The middle observation pair is 8th and 9th observation, which are 5 and 6
We can take any of the number between 5 and 6, so 5 < median < 6
That means median of class A's data is smaller than 6, thus, not being 6.
Thus, option D is incorrect and we don't need to find median of class B.
Thus, the statement which is not an accurate comparison of the two dot plots is stated as: Option D) The median for both dot plots is 6
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Brenya Estate produces a high quality tea branded A, B and C in the ration 1.5: 5: 1. Originally Type A tea costs 1600, type B costs 800 and type C costs 1700 per kg to produce. Brenya Tea Estate packs Super tea in packets of 825g each. Blending and packing costs are 40 per kg. Determine the production cost for a packet of super tea
Answers
Answer:
The production cost for a packet of super tea is 924.
Step-by-step explanation:
The production cost of the Super tea is given as
[tex]Cost_{super\ tea}=Cost_{A}+Cost_{B}+Cost_{C}+Cost_{packaging\ and\ blending}[/tex]
Here the costs are given as following
[tex]Cost_A=\dfrac{Ratio\ of\ A}{Sum\ of \ ratios} \times Weight \times Cost\ of\ A\ per\ kg[/tex]
Here
Ratio of A is 1.5Sum of Ratios is 1.5+5+1=7.5Weight is 825 g or 0.825kgCost of A per kg is 1600So
[tex]Cost_A=\dfrac{Ratio\ of\ A}{Sum\ of \ ratios} \times Weight \times Cost\ of\ A\ per\ kg\\Cost_A=\dfrac{1.5}{7.5} \times 0.825 \times 1600\\Cost_A=264[/tex]
The cost of A is 264.
Similarly
[tex]Cost_B=\dfrac{Ratio\ of\ B}{Sum\ of \ ratios} \times Weight \times Cost\ of\ B\ per\ kg[/tex]
Here
Ratio of B is 5Sum of Ratios is 7.5Weight is 825 g or 0.825kgCost of B per kg is 800[tex]Cost_B=\dfrac{Ratio\ of\ B}{Sum\ of \ ratios} \times Weight \times Cost\ of\ B\ per\ kg\\Cost_B=\dfrac{5}{7.5} \times 0.825 \times 800\\Cost_B=440[/tex]
The cost of B is 440.
Also
[tex]Cost_C=\dfrac{Ratio\ of\ C}{Sum\ of \ ratios} \times Weight \times Cost\ of\ C\ per\ kg[/tex]
Here
Ratio of C is 1Sum of Ratios is 7.5Weight is 825 g or 0.825kgCost of C per kg is 1700[tex]Cost_C=\dfrac{Ratio\ of\ C}{Sum\ of \ ratios} \times Weight \times Cost\ of\ C\ per\ kg\\Cost_C=\dfrac{1}{7.5} \times 0.825 \times 1700\\Cost_C=187[/tex]
The cost of C is 187.
Now the packaging and blending cost for the given package is calculated as
[tex]Cost_{packaging\ and\ blending}=Weight*Cost_{packaging\ and\ blending\ per\ kg}[/tex]
Here
Weight is 825 g or 0.825kgCost of packaging and blending per kg is 40[tex]Cost_{packaging\ and\ blending}=Weight*Cost_{packaging\ and\ blending\ per\ kg}\\Cost_{packaging\ and\ blending}=0.825*40\\Cost_{packaging\ and\ blending}=33[/tex]
Cost of packaging and blending per packet is 33.
So now substituting values of costs in the following equation gives:
[tex]Cost_{super\ tea}=Cost_{A}+Cost_{B}+Cost_{C}+Cost_{packaging\ and\ blending}\\Cost_{super\ tea}=264+440+187+33\\Cost_{super\ tea}=924[/tex]
The production cost for a packet of super tea is 924.
Complete the table below to classify the triangles as scalene or isosceles.
Triangle
Classification
2
2
3
5
10
9
<
3
Answers
Answer:
1) Isosceles
2) Scalene
3) Scalene
Step-by-step explanation:
The 1st choice is isosceles because 2 side lengths are equal.
The 2nd and 3rd choice are scalene because none of the sides equal the other sides.
A simulation is done to represent kicking 5 field goals in a single game with a 72% probability of making each one. A 1 represents making the kick and a 0 represents missing the kick.
trial
result
1
10101
2
11010
3
00011
4
11111
5
10011
Based on these results, estimate the probability that 3 or more kicks are made.
Answers
Answer:
You are correct that the cross section is a rectangle, because a rectangular pyramid has 4 sides connected to the top of the rectangle.
Step-by-step explanation:
We can estimate that the probability of making 3 or more kicks in a game is approximately 0.8 or 80%.
What is simulation?Simulation is the process of creating a computer model or a physical system that behaves like a real-world system or process, in order to study its behavior or performance under various conditions.
We have,
To estimate the probability that 3 or more kicks are made, we need to count the number of trials in which 3, 4, or 5 kicks were made, and divide that by the total number of trials (which is 5 in this case).
From the table,
We can see that there are three trials in which 3 kicks were made
(trials 1, 3, and 5), one trial in which 4 kicks were made (trial 4), and no trials in which all 5 kicks were made.
The total number of trials in which 3 or more kicks were made is:
= 3 + 1 + 0
= 4
To estimate the probability, we divide the number of successful trials by the total number of trials:
P(3 or more kicks made) ≈ 4/5
Therefore,
We can estimate that the probability of making 3 or more kicks in a game is approximately 0.8 or 80%.
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What is the volume of this square pyramid?
Answers
Answer:
400m^3
Step-by-step explanation:
Answer: [tex]400m^{2}[/tex]
Step-by-step explanation:
In order to solve this square pyramid's volume, we use the formula:
V = 1/3(B)(h)
Now, we plug in what we know. Since it has a square base, the sides of the base are all the same:
1/3(10*10)(12)
Now we solve:
1/3(100)(12)
1/3(1200)
400