The surface area of a igloo with a 20 ft. diameter is [tex]628ft^{2}[/tex]
According to question statement, we are supposed to find the surface area of an igloo with a 20ft. diameter.
Before solving this question, we should be aware of the fact that an igloo is of a Hemispherical shaped object usually made up of ice.
So for finding out area of igloo we find the surface area of of the hemisphere.
Curved Surface area : [tex]2\pi r^{2}[/tex]
Total Surface area: [tex]3\pi r^{2}[/tex]
where r is the radius of igloo.
Radius is half of the diameter therefore [tex]r=\frac{diameter}{2}[/tex]
[tex]r=\frac{20ft}{2} \\r=10ft[/tex]
Therefore radius is 10 ft.
Curved Surface Area: [tex]2*3.14*10^{2} =628ft^{2}[/tex]
Total Surface Area: [tex]3*3.14*10^{2} =942ft^{2}[/tex]
But as we are supposed to find the surface area therefore the answer is [tex]628ft^{2}[/tex].
Hemisphere: A hemisphere is a 3-Dimensional figure which is obtained by bisecting a sphere into two equal halves through its diameter.If you want to learn more about surface areas, click on the link given below:
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Write a function to describe the following scenario.
A taxi driver charges a flat rate of $7.25 plus
$0.65 per mile.
y = [?] + [?]x
Answer: Taxi driver has at most $10 to spend on the cab ride, he can travel at most 12.7 miles.
Step-by-step explanation:
A Taxi driver charges a flat rate = 7.25 dollars
taxi fare for 1 mile = 0.65 dollars
Suppose we consider Total money taxi driver can spend = 10 dollars
Let taxi driver travel x miles
Total charges = flat rate charge + taxi fare for each mile(distance) travelled
Find the value y = [?] + [?]x
suppose these two question marks indicate z1,z2
replace with y=10 and z1=1.75 and z2=0.65 values
Then y = [z1] + [z2]x
10 = 1.75 + 0.65(x)
0.65(x) = 10 - 1.75
0.65(x)= 8.25
x = 8.25/0.65
x = 12.7 miles
If Taxi driver has at most $10 to spend on the cab ride, he can travel at most 12.7 miles.
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The sears tower in chicago is 443 m tall. Joe wants to set the world’s stair climbing record and runs all the way to the roof of the tower. If joe’s average upward speed is 0. 60 m/s, how long will it take joe to climb from street level to the roof of the sears tower?.
Joe is going to [tex]12[/tex] minutes and [tex]18[/tex] seconds to ascend to the Sears tower's roof from street level.
How are time, distance, and speed related?Speed indicates how quickly something or someone is moving. Speed is calculated as follows: speed = distance * time. Following are the relationships between time, distance, and speed: Distance is directly related to speed and time. Time and speed are also negatively related. Speed is what it means. the speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity. Distance is the sum of an object's movements, regardless of direction. The flow of events from the past into the future is known as time. Time only ever moves in one way. Time can go either forward or backward, but not both.
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A pair of cars, 70 miles apart, begin at the same time to run toward each other. If car A
from city A runs at a rate that is 5 mph faster than car B from city B, and if they meet 2
hours later, how far is the place they meet away from city A?
Answer: car a must be meet to cannot be so your aner is a
Step-by-step explanation:
Help please this is kinda hard and important for me.
Applying the angle relationship, the measures of the angles are:
m<a = 126°
m<b = 54°
m<c = 126°
m<d = 54°
m<e = 126°
m<f = 54°
m<g = 126°
What are Angles formed by Transversal and Parallel Lines?The diagram shows different angles that are formed when a transversal crosses two parallel lines. To find the measure of the missing angles, we would apply the angle relationship.
m<a = 180 - 54 [linear pair]
m<a = 126°
m<b = 54° [vertical angles pair]
m<c = m<a [vertical angles pair]
m<c = 126°
m<d = 54° [corresponding angles]
m<e = m<a [corresponding angles]
m<e = 126°
m<f = m<d [vertical angles pair]
m<f = 54°
m<g = m<e [vertical angles pair]
m<g = 126°
Therefore, applying the angle relationship, the measures of the angles are:
m<a = 126°
m<b = 54°
m<c = 126°
m<d = 54°
m<e = 126°
m<f = 54°
m<g = 126°
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How many units from zero is 0 on the number line? What is the opposite of 0?
Answer:
The absolute value of a number is the distance between the number and zero on a number line. Every number and it opposite are the same distance from zero on the number line.
I-phones have been in such demand that their price goes up by $25 every year. If they were $430, what is the
new price 6 years later?
Given f(n) = 6n - 5
Evaluate f(-3)
Is
a² + b²
______
a-b
if a = 3 and b = 4
Please help!
Answer:
Step-by-step explanation:
3^2+4^ / 3-4 = -25
What is the quotient of 7 over 8 divided by 2 over 5?
Answer: 6
Step-by-step explanation:
got it right
A taxi driver's total income is AED 100 per day, less AED 600. Her expenses are AED 35 per day, plus
AED 450.
Which of the following statements is true?
Let x represent the number of days and y represent the total income or expenses.
Answer:
the AED450
Step-by-step explanation:
I don't know what to say about my answer but I think it's just the best way to anwers
[tex]x-2\ \textgreater \ 3 \\[/tex]
The solution set of the inequality is the set of all real numbers larger than 5, written in interval form as (5, ∞)
How to solve the inequality for x?Here we have a simple inequality:
x - 2 > 3
To solve this we need to isolate x in one side of the inequality.
Now, remember that we can do the same operation in both sides of the inequality. So, if we add in both sides the same number, then the truth value of the inequality does not change.
Then if we add 2 in both sides of the inequality we get:
x - 2 + 2 > 3 + 2
x > 5
Then the solution set of the inequality is the set of all real numbers larger than 5, written in interval form as (5, ∞).
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A group of friends enjoys playing miniature golf together. here are a set of final scores from a recent outing: 39, 41, 44, 50, 54, 56, 56, 56, 61 what is the mean?
The mean of a set of final scores from a recent outing is 50.77
Here,
A group of friends enjoys playing miniature golf together.
Here are a set of final scores from a recent outing:
39, 41, 44, 50, 54, 56, 56, 56, 61
We have to find the mean.
What is Mean?
The mean of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.
Now,
Set of final scores from a recent outing:
39, 41, 44, 50, 54, 56, 56, 56, 61
Then, Mean = 39 + 41 + 44 + 50 + 54 + 56 + 56 + 56 + 61 / 9
= 457/9
= 50.77
Hence,
The mean of a set of final scores from a recent outing is 50.77
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how to write 0.5.5555.., 0.77777.., 0.288888… and 0.711111… as a fraction
Answer:
In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation i2 = −1; every complex number can be expressed in the form a + bi, where a and b are real numbers. Because no real number satisfies the above equation, i was called an imaginary number by René Descartes. For the complex number a + bi, a is called the real part and b is called the imaginary part. The set of complex numbers is denoted by either of the symbols {\displaystyle \mathbb {C} }\mathbb {C} or C. Despite the historical nomenclature "imaginary", complex numbers are regarded in the mathematical sciences as just as "real" as the real numbers and are fundamental in many aspects of the scientific description of the natural world.[1][a]
Step-by-step explanation:
Answer:
iakajakakam kwokwmajsj kakajnsnsj wjjsjajsj sjsjjsjs
Step-by-step explanation:
A 2-pound bag of carrots costs $7.68. What is the price per ounce?
The price of carrots per ounce is $0.24 .
Ounce is an unit of mass in the Imperial System. It is widely used throughout the world and is one of the oldest units of measurement to still exist. The unit ounce is derived from uncia, a unit of measurement in roman times.
The ounce(abbreviated oz) is equal to approximately 28.35 grams and 16 ounces make up a pound.
Now it is given that a 2-pound bag of carrots cost $7.68 .
Therefore price per pound of carrots=$7.68÷2
Price per pound=$ 3.84 .
Now we know that 16 ounces make up a pound.
Price of carrots per ounce= $3.84 ÷16
Price per ounce= $ 0.24
Therefore the price of carrots per ounce is $0.24
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Classify the angle as acute , obtuse , right , or straight
Answer:
1. right
2. obtuse
Step-by-step explanation:
Answer:
Acute and obtuse
Step-by-step explanation:
The first picture is acute as the angle is less than 90 and the second picture is obtuse as the angle is greater than 90 but less than 180.
write and solve an equation to answer the question Alan bought 3 pencils and a notebook. the notebook cost $6,and he spent a total of $12. how much did each pencil cost use p to represent the cost of each pencil.
Answer:
Each pencil costs $2
Step-by-step explanation:
3p + 6 = 12
3p = 6
p = 2
3 pencils for 2 dollars is 6 dollars, plus the 6 dollars he spent on a notebook, equals the 12 dollars he spent total.
2. Determine whether each of the following expressions is equivalent to 4a + 5(b-2)
i. 2(-5+2a) + 5b
ii. 9ab-10
iii. 4a +56 + 10
Prove by C/D formulas that cos 6°×cos66°×cos42°×cos78° = 1/16
Answer:
True.
Step-by-step explanation:
(LHS) cos 6∘ cos 42∘ cos 66∘ cos 78∘
1/4 [cos(66∘+6∘) = cos(66∘-6∘)] • [cos(78∘+42∘)+cos(78∘-42∘)]
= 1/4(sin18∘+12)(-12+cos36∘)
[∵cos72∘ = cos(90∘−18∘) = sin18∘]
1/4[(5-√-1)/4+1/2][−1/2+(5-√+1)/4]
[∵sin(18∘ = (5-√-1)/4, and, cos 36∘ = (5-√+1)/4]
1/4(5-√+1)/4(5-√-1)/4 = (5-1)/64
= 4/64 = 1/16 (RHS)
Therefore, the cosine is equal to 1/16.
please help !!!! ASAP Thank you in advance :) !
PLEASE HELP THIS IS SO CONFUSING TO ME!!!
According to the American Sleep Disorders Association, the average teenager needs around 9.5 hours of sleep per night, possibly because of hormones that are critical. Yet studies show that teenagers generally get an average of only 7.4 hours a night or less. Calculate the number of seconds of sleep that an average teenager is lacking for the 180 days of school in one year.
Answer:
A
Step-by-step explanation:
The two sentences relate like They establish a contrast. As American Sleep Disorders Association is considering the teenager sleep and adult sleep.
What is sleeping disorder?
Sleep Disorders are mostly common nowadays as people are more busy in their scheduling, they don't get proper and sufficient time to sleep. This creates many problems in the human body.
The common type of sleeping disorder are insomnia, restless toughnesses' syndrome, narcolepsy and sleep apnea.
Thus, option A is correct.
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5 positive integers are arranged in
ascending order, as follows:
5, 6, 7, 7, x
The mode and the range are equal.
Find x.
x
Answer: x=12
Step-by-step explanation:
The range is: x-5
The mode is: 7
Hence,
x-5=7
x-5+5=7+5
x=12
1/2 % to simplified fraction
=50
Step-by-step explanation:
=1/2×100
=1×50
=50
Miesha is saving the same amount of money each week. After 2 weeks she saves 85$. After 4 weeks she saves 135. Which equation models the amount of money Miesha will have saved, y after x weeks?
Answer:
work is shown and pictured
49^((1)/(2))- 25^((3)/(2))
Answer: -118
Step-by-step explanation:
49^((1)/(2))- 25^((3)/(2))=
49^(1/2) -25^(3/2)=
7-25^((2+1)/2)=
7-25^((2/2)+(1/2))=
7-25^(1+1/2)=
7-25^(1) *25^(1/2)=
7-(25*5)=
7-125=-118
which of the relations represent y as a function of x
For given relations, relation (1) and relation (3) represent y as a function of x.
And relation (2) does not represent y as a function of x.
In this question, we have been given some relations.
We need to determine which relations represent y as a function of x.
We know that a relation is function when there is unique output for each input.
Consider the first relation.
y = -3.4x
For each value of x there's unique and distinct output. Here x can take any real value.
so, the above relation is a function.
Consider the second relation.
We can observe that, for x = 1 there are two outputs i.e., y = 1 and y = -1.
Similarly for x = 4, there are two outputs y = 2 and y = -2.
this means, the second relation is not a function.
Now, consider the last relation.
From this graph we can see that from x = -∞ to x = ∞, there are unique outputs.
So, above graph represents a function.
Also, by vertical line test, the graph represents a function.
Therefore, for given relations, relation (1) and relation (3) represent y as a function of x.
And relation (2) does not represent y as a function of x.
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Need help on this question ASAP please
The equations ordered from the least to greatest is
y = (-3/4)x + 2
y - 3 = 1/2(x - 4)
3x - 4y = 7
y = 12(x - 19) + 5
Order of equationsFrom the question, we are to order the equations from least to greatest by the value of the slope
The given equations are
y = (-3/4)x + 2
3x - 4y = 7
y = 12(x - 19) + 5
y - 3 = 1/2(x - 4)
To determine the slopes of the line, we will compare the equations to the general form of the equation of a line
The general form of the equation of a line is
y = mx + b
Where m is the slope
and b is the y-intercept
y = (-3/4)x + 2By comparison,
m = -3/4
∴ Slope = -3/4
3x - 4y = 7First, rearrange
3x - 7 = 4y
4y = 3x - 7
y = (3/4)x - 7/4
By comparison,
m = 3/4
∴ Slope = 3/4
y = 12(x - 19) + 5First, simplify
y = 12x - 228 + 5
y = 12x - 223
By comparison,
m = 12
∴ Slope = 12
y - 3 = 1/2(x - 4)
First, simplify
y - 3= (1/2)x - 2
y = (1/2)x -2 + 3
y = (1/2)x + 1
By comparison,
m = 1/2
∴ Slope = 1/2
Now,
The slopes ordered from the least to greatest is
-3/4 < 1/2 < 3/4 < 12
Thus,
The equations ordered from the least to greatest is
y = (-3/4)x + 2
y - 3 = 1/2(x - 4)
3x - 4y = 7
y = 12(x - 19) + 5
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Given AB with A(8, -4) and B(-6, 11), if P partitions AB such that the ratio of AP to AB is 2:7, find the coordinates of P
Problems.
87. the 4550 men in the arena comprised 85% of the people in
the arena. how many people were in the arena?
There are 5354 people were in the arena.
Percentage:
The term percentage is referred as a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.
The formula for calculating the percentage is,
Percentage = (Actual value/Total value) x 100
Given,
Here we have that, 4550 men in the arena comprised 85% of the people in the arena.
Now we need to find how many people were in the arena.
Let p be the number of people in Arena.
So, based on the percentage formula,
It can be written as,
=> 85% = (4550 / p) x 100
=> 85/100 = 4550 /p
=> 0.85 = 4550/p
=> 4550/0.85 = p
=> p = 5354
Therefore, there are 5354 people were in the arena.
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I need to find the following limits
The solution are-
(a) lim h (x) = -2
x → -2⁻
(b) lim h (x) = -2
x → -2⁺
(c) lim h (x) = -2
x → -2
What is defined as the limits of the functions?A limit describes the value which a function approaches as its inputs get increasingly closer to a certain number.
The concept of a limit is at the heart of all calculus.
(a) lim h (x) = -2
x → -2⁻
Put x = 2 at the place of x in h(x).
This limit is called the left hand limit of the function as there is negative sign over 2.
(b) lim h (x) = -2
x → -2⁺
Put x = 2 at the place of x in h(x).
This limit is called the right hand limit of the function as there is positive sign over 2.
(c) lim h (x) = -2
x → -2
Put x = 2 at the place of x in h(x).
This limit exists just at x = 2.
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HELPP PLEASE. THANK YOU!!
Graph the following system of equations.
2x + 6y = 12
6x + 18y = 18
What is the solution to the system?
Answer:
A. No solution
Step-by-step explanation:
Please see attachment for the graph.
Hope this helps!
Please mark as brainliest if correct!
The equation has No Solution.
What is solution of equation?The points at which the lines representing the intersection of two linear equations are defined as the solution to a linear equation. In other words, the set of all possible values for the variables that satisfy the given linear equation is the solution set for the system of linear equations.
The set of linear equations can be solved in one of three ways
Unique Solution, No Solution and Infinitely Many Solutions.
Given equations
2x + 6y = 12
x 0 6
y 2 0
6x + 18y = 18
x 0 3
y 1 0
The graph of equations is attached,
for solution of equation,
we can find it by graph, the graph shows the parallel line for both equation since equations have No Solution.
The system of linear equations does not have a solution if the graphs of the linear equations are parallel. In this instance, there is no point at which lines do not cross.
Hence there is no solution for equations.
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