Answers
Answer:
314
Step-by-step explanation:
A=4πr^2
A= (4)(3.14)(5)^2
A=314
Question :-
What is the surface area of the sphere that has a radius of 5 inches?Answer :-
The surface area of the sphere is 314 inches².[tex] \rule{180pt}{3pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bold{5 \: inches}}\end{picture}[/tex]
Solution :-
As per the provided information in the given question, we have been given that the radius of the sphere is 5 inches. We have been asked to find or calculate the surface area of the sphere.
To calculate the surface area of the sphere, we will use the formula below :-
[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Sphere)} = 4\pi r^2 \:\:}}[/tex]
Substitute the given values into the above formula and solve for surface area:
[tex]\sf:\implies Surface \: Area_{(Sphere)} = 4\pi r^2[/tex]
[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(3.14)(5 \: in)^2[/tex]
[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(3.14)(25 \: in^2)[/tex]
[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(78.5 \: in^2)[/tex]
[tex]\sf:\implies \bold{Surface \: Area_{(Sphere)} = 314 \: inches^2}[/tex]
Therefore :-
The surface area of the sphere is 314 inches².[tex]\\[/tex]
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Related Questions
Question 6
1 pts
If there are initially 12,000 bacteria in a culture, and the number of bacteria double
each hour, the number of bacteria after t hours can be found using the formula
N = 12,000 (24). How many bacteria will be present after 7 hours?
O 1,536.000
O 768,000
168,000
384.000
Previous
Next >
Answers
Answer:
The input for the method is a continuous function f, an interval [a, b], and the function values f(a) and f(b). The function values are of opposite sign (there is at least one zero crossing within the interval). Each iteration performs these steps: Calculate c, the midpoint of the interval, c = a + b2.
Step-by-step explanation:
trust
Pls only help if you know the correct answer! Thanks! :)
Answers
Answer:
Line C.
Step-by-step explanation:
Negatives are supposed to be on the left side of the 0, not the right side, so we can determine that lines B and D are wrong. On line A, -3/5 is on -2 which is wrong, so line C is the correct answer.
Pleaseee help ASAP !!!!!!!!!!!
Answers
Given:
The dimensions of base are 5 cm and 5cm.
The height of the pyramid is 3 cm.
To find:
The volume of the pyramid.
Solution:
The volume of a pyramid is:
[tex]V=\dfrac{1}{3}Bh[/tex] ...(i)
Where, B is the base area and h is the height of the pyramid.
The base area of the given pyramid is:
[tex]B=length \times width[/tex]
[tex]B=5 \times 5[/tex]
[tex]B=25[/tex]
Substituting [tex]B=25[/tex] and [tex]h=3[/tex] in (i), we get
[tex]V=\dfrac{1}{3}(25)(3)[/tex]
[tex]V=25[/tex]
Therefore, the volume of the given pyramid is 25 cm³. Hence, the correct option is A.
What is the domain of the function on the graph
Answers
Answer:
The domain is all x-values or inputs of a function. hope this helps!
Step-by-step explanation:
A. 6
B. 2
C. 0.4
D. -6
Answers
Answer:
6
Step-by-step explanation:
Hope thats the correct answer.
How much growth or decay is 50(1.05)^t<100
Answers
Answer:
5% growth.
Step-by-step explanation:
1.05 = 1 + 0.05 = 1 + 5%
It is 5% growth.
6 friends go out for dinner and the bill for food and drink comes to £140.
The friends decide to add a 20% tip on top of this total.
If they divide the expense equally between them, how much does each friend pay?
Answers
Answer:
£28
Step-by-step explanation:
140 x .2 = 28
28+140 = 168
168/6 = 28
You earn $30 for washing 5 cars. How much do you earn
per car?
Answers
Answer:
You get 6 dollars per car
Step-by-step explanation:
I divided 30 by 5
Answer: $6 per car
Step-by-step explanation:
If it's 30 dollars for 5 cars and we want to know how much it is for 1 car we need to divide both by 5
[tex]\frac{30}{5} =6\\\frac{5}{5} =1[/tex]
$6 per one car
6 of 10
?
What fraction of an hour is 51 minutes?
Give your answer in its simplest form.
Answers
We need to make sure that the United sets the same so there are 60min in one hour and the fraction of time that is In an hour in 51 so
51/60
51 is prime so it’s can’t be simplifyied
If X = 13 units, Y = 15 units, and h = 11 units, what is the area of the parallelogram shown above?
Answers
Answer:
the area of the parallelogram = base times the height
For the given parallelogram :
x = 8 units, y = 13 units, and h = 11 units
1) If x is the perpendicular to h
So, the base = 8 and the height = 11
So, the area = 8 * 11 = 88 square units
2) If y is the perpendicular to h
So, the base = 13 and the height = 11
So, the area = 13 * 11 = 143 square units
Step-by-step explanation:
solving system by substitution
Answers
Given the system of equations below:
[tex] \large{ \begin{cases} x + 2y = 12 \\ x = y - 12 \end{cases}}[/tex]
For the second equation, x-term is isolated and can be substituted in the first equation.
[tex] \large{(y - 12) + 2y = 12}[/tex]
The equation above is when we substitute x = y-12 in the first equation. Cancel the brackets.
[tex] \large{y - 12 + 2y = 12}[/tex]
Add up the like term and isolate y-term.
[tex] \large{3y - 12= 12} \\ \large{3y - 12 + 12 = 12 + 12}[/tex]
Add both sides by 12 to get rid of 12 from the left side to isolate y-term.
[tex] \large{3y = 24}[/tex]
Divide both sides by 3 so we can finally isolate the term.
[tex] \large{ \frac{3y}{3} = \frac{24}{3} } \\ \large{ \frac{ \cancel{3}y}{ \cancel{3}} = \frac{ \cancel{24}}{ \cancel{3}} } \\ \large{y = 8}[/tex]
Next, find the x-value because in system of equations - we have to answer as in an ordered pairs or coordinate point. We know y-value now but we don't know x-value yet. To find x-value, we substitute the y-value in one of two equations that are given. You can substitute in both equation but it's not necessary to substitute in both equations at one. I will choose to substitute in x = y-12.
[tex] \large{x = y - 12}[/tex]
Substitute y = 8 in the equation.
[tex] \large{x = 8 - 12} \\ \large{x = - 4}[/tex]
Now that we know the both values. We finally have an answer to this problem. Hence.
Answer
x = -4, y = 8(-4,8)The second answer is in ordered pair form. Let me know if you have any doubts!
What should be the first step in adding these equations to eliminate y?
Answers
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Since you want to eliminate y, the y value on the bottom equation has the be the opposite of the y value on the top one. So it's 4y on the top one, so the bottom one has to be -4y to eliminate y. The bottom one is -2y, so -2 times 2 =-4, so multiply the bottom one by 2 omg i miss linear combination
One integer is 10 more than another, Their sum is 4. What are the 2 integers? PLEASE HELP!
Answers
Answer:
The two integers are : -3 , 7
Step-by-step explanation:
Let the integers be x and y
Given one of the integer is 10 more than the other, Let x = y + 10 -----(1)
Also Given sum of integers . x + y = 4 ----------- (2)
Substitute ( 1 ) in (2)
x + y = 4
(y + 10) + y = 4
y + 10 + y = 4
2y + 10 = 4
2y = 4 - 10
2y = -6
y = -3
Substitute y = -3 in ( 1 ) : x = - 3 + 10 = 7
what is the simplified form of the following expression?
[tex]7( \sqrt[3]{2x} ) - 3( \sqrt[3]{16x}) - 3( \sqrt[3]{8x} ) [/tex]
Answers
Answer:
Step-by-step explanation:
edge 2021
PLEASE HELP ME!!! I NEED THIS TO BE CORRECT THANK YOU
EXPLAIN UR ANSWER = BRAINLIEST
A trapezoid with an area of 54 cm² is dilated by a factor of 2/3.
The area of the dilated trapezoid is ___ square centimeters.
(this is just a word question!)
Answers
Answer:
The area of the image is equal to the area of the pre-image multiplied by the scale factor.
The area of the dilated trapezoid is __54*2/3=36_ square centimeters.
THERE ARE 18 RED CRAYONS
AND 24 GREEN CRAYONS IN A
BASKET. WHAT IS THE RATIO OF
RED TO GREEN CRAYONS
Answers
Answer:
4 : 3
Step-by-step explanation:
So to answer this, we must find the greatest common factor(GCF) of 18 adn 24 , then divide by that to get the ratio.
So, what are the factors of 18?
2369118Now what are the factors of 24?
2368124All of these work, but we need to GCF, which is the largest factor that goes into both numbers.
Looking at them, it would be 6.
So lets divide both numbers by 6 and see what we get:
18/6
=
3
24/6
=
4
So now there are 3 red crayons and 4 green crayons.
OR
For every 3 red crayons there are 4 green crayons.
This makes the ratio:
3 : 4
Hope this helps!
Ration of red to green crayons is 3:4
Given that;Number of red crayons = 18
Number of green crayons = 24
Find:Ration of red to green crayons
Computation:Ration of red to green crayons = Number of red crayons / Number of green crayons
Ration of red to green crayons = 18 / 24
Ration of red to green crayons = 3/4
Ration of red to green crayons = 3:4
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Q= 4+0.8p what value of p would make the equation true if q was 70
Answers
Answer:
82.5 = p
Step-by-step explanation:
Q= 4+0.8p
Let q = 70
70= 4+0.8p
Subtract 4 from each side
70-4= 4-4+0.8p
66 = .8p
Divide each side by .8
66/.8 = .8p/.8
82.5 = p
How many solutions does the system have?
-87 + 2y = 8
- 40 +y=4
Answers
Answer is : No solution
A system of two equations can be classified as follows:
If the slopes are the same but the y-intercepts are different, the system has no solution.
If the slopes are different, the system has one solution.
If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.
Definition Linear Equation in One Variable
A linear equation in one variable is an equation that can be written in the form ax+b=c, where a, b, and c are real numbers and .
Linear equations are also first-degree equations because the exponent on the variable is understood to be 1.
Objective 3: Identify Equations That Are Contradictions and Those That Are Identities
A conditional equation is an equation that is true for some values of the variable but not for others. Every linear equation that is a conditional equation has one solution. However, not every linear equation in one variable has a single solution. There are two other cases: no solution and the solution set of all real numbers.
Consider the equation x x 1. No matter what value is substituted for x, the resulting value on the right side will always be one greater than the value on the left side. Therefore, the equation can never be true. We call such an equation a contradiction. It has no solution. Its solution set is the empty or null set, denoted by { }
or , respectively.
Now consider the equation xx2x. The expression on the left side of the equation simplifies to the expression on the right side. No matter what value we substitute for x, the resulting values on both the left and right sides will always be the same. Therefore, the equation is always true. We call such an equation an identity. It
Which of the following is most likely the next step in the series?
Answers
⁺˚*･༓☾✧.* ☽༓･*˚⁺‧
❀ [tex]\huge\underline{ \underline{ \text{Answer :-}}}[/tex]
➺ It's likely to be option D.
[tex]\underbrace{ \overbrace{ \mathfrak{Explanation}}}[/tex]
➺ The first figure has a line which divides the circle ⭕ into 2 parts. The 2nd figure divides the circle ⭕ into 3 parts while the 3th figure divides the circle ⭕ into 4 parts. Obviously, the 4th figure then should divide the circle ⭕ into 5 parts. Checking all the given options,
Option A. doesn't divide the circle ⭕ into any parts.Option B. divides the circle ⭕ into 3 partsOption C. divides the circle ⭕ into 4 parts.Option D. divides the circle ⭕ into 5 parts.⟹ So, option D. is the correct answer.
⁺˚*･༓☾✧.* ☽༓･*˚⁺‧
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ ツ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
which of the following is equivalent to 2cos^2(x) - cos(2x)? A. sin(2x) B. Sin^2(x) C. 1 D. 2
Answers
Answer:
C. 1
Step-by-step explanation:
2cos²(x) - cos(2x) = 1
Answer:
C
Step-by-step explanation:
Using the identity
cos2x = 2cos²x - 1 , then
2cos²x = cos2x + 1
Given
2cos²x - cos2x
= cos2x + 1 - cos2x
= 1 → C
A rectangular flower pot is 30 cm long, 16 cm wide and 12 cm high. How much soil is needed to fill the flower pot?
Answers
This question is asking for the volume of a rectangular prism (length x width x height):
30 • 16 • 12 = 5,760
The volume is measured in cubic feet in this case.
Final answer: 5,760 cubic feet of soil
Hope this helps!
Complete the Steps to Solve the Equation -13x-11=-37
-13x-11=-37
-13x=
Answers
Answer:
x=2
Step-by-step explanation:
-13x-11=-37 Original equation
-13x=-26 Add 11 to both sides
x=2 Divide both sides by -13
find the volume of the prism please
Answers
Step by step: 4*2*9=72
Answer:
the answer is 72
Step-by-step explanation:
when your finding volume use the formula length x width x height
Three friends go to the movies and spend a total of $75.00. Each friend bought a ticket and a small popcorn that cost $8.25 how much was each ticket
Answers
Answer:
16.75 Dollars for each Ticket
Step-by-step explanation:
They are three friends so the total money they spent is 75 Dollars so a popcorn costs 8.25 EACH friend so
8.25 x 3
= 24.75
24.75 dollars was spent on the 3 popcorns.
Subtract the total money spent and the total money spent on the 3 popcorns so
75. 00 - 24.75
= 50.25
50.25 dollars were totally spent on the tickets but we're looking for each ticket so divide it by 3.
50.25/3
= 16.75
16.75 dollars each were spent on each ticket.
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Enter the coordinates of the point on the unit circle at the given angle. 135° (-VII, VI Enter
Answers
The coordinates of the point on the unit circle at the given angle. 135° is (-√2 / 2, √2 / 2).
What is a unit circle?A circle on the Cartesian Plane with a radius of one unit and a center position is referred to as a unit circle (0, 0). When working with angles and trigonometric functions, the unit circle is a useful tool that makes reference much simpler. The Pythagorean Theorem can be used with the unit circle.
Given:
The unit circle at the given angle 135°,
Calculate the value of sin45 as shown below,
sin (180 - 135) = 1 / √2
sin 45 = 1 / √2
cos(180 - 135) = 1 / √2
cos45 = 1 / √2
Write the coordinates as shown below,
Coordinates = (1 / √2 × √2 / √2, 1 / √2 × √2 / √2 ) (Second quadrant is (-x, y))
Coordinates = (-√2 / 2, √2 / 2)
Thus, the coordinates are (-√2 / 2, √2 / 2).
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Give m || n, find the value of x and y
Answers
Answer:
Step-by-step explanation:
2x + 4 + 7x - 13 = 180 degree
9x - 9 = 180
9x = 180 + 9
x = 189/9
x = 21 degree
2x + 4 + 3y + 14 = 180 degree (being linear pair)
2*21 + 4 + 3y + 14 = 180
42 + 18 + 3y = 180
60 + 3y = 180
3y = 180 - 60
y = 120/3
y = 40 degree
PLEASE HELP QUICKLY - ATTACHED BELOW MATHS
Answers
Answer:
113.081 mm²
Step-by-step explanation:
A semicircle is the half part of a circle. And we know that the semicircle have 24 mm of diameter, and the radius is 24/2 = 12 mm. The small circle is inside the semicircle, so its diameter is equal to the radius of the semicircle, and its radius is 12/2 = 6mm
Now, consider π = 3.141, the area of the small circle is:
π•6² = 3.141 • 36 = 113.076 mm²
The area of the semicircle is (π•12²)/2 = (3.141•144)/2 = 226.151 mm²
Now, you just subtract the areas:
226.151 - 113.076 = 113.081 mm²
Kevin's class just held a class election. 75% of the 28 students in the class voted. How many students voted?
THANKS, IM DESPERATE
Answers
Answer:
21
Step-by-step explanation:
75÷100×28=21
if its correct please mark as brainliest answer
Find the sum of the numbers. Express your answer in scientific notation.
(6.94 x 10-7)+(2.7x10-)
O 7.21x 10-
O 9.64 x 10-
O 7.21x10-2
O 9.64 x 10-7
Answers
Answer:
7.21 × 10⁻⁷
Step-by-step explanation:
(6.94 × 10⁻⁷) + (2.7 × 10⁻⁸) = 7.21 × 10⁻⁷
At 9:30 am, Hudson and Colin leave on a bicycle trip. Their average speed is 20 km/ h. At 11:30 am, Danielle leaves from the same place and starts driving after them in her car. Her average speed is 60 km/ h. Create a system to determine how long will it take Danielle to catch up with Hudson and Colin?
Answers
Answer:
Step-by-step explanation:
11:30-9:30=2
so Danielle starts 2 hrs late.
let Danielle catches them after x hrs.
x×60=(x+2)×20
divide by 20
3x=x+2
3x-x=2
2x=2
x=1
so Danielle takes 1 hour to catches them.