B=6,c=7.5 what is A in Pythagorean therom
Answers
Answer: 4.5
Step-by-step explanation:
A^2 +B^2 =C^2
A^2 + 6^2 =7.5^2
A^2 + 36= 56.25
A^2= 20.25
A= square root of 20.25
A= 4.5
Related Questions
Suppose that a country's population is 20 million and it has a labor force of 10 million people. If 8 million people are employed, the country's unemployment rate is a. 20% b. 13.3% c. 10%. d. 6.7%. e. 14.5%
Answers
The country's unemployment rate is 10 percent. Therefore, option C is the correct answer.
Given that, a country's population is 20 million and it has a labor force of 10 million people.
8 million people are employed
So, the number unemployed people = 10 million - 8 million
= 2 million
So, the country's unemployment rate = 2/20 ×100
= 10 %
Therefore, option C is the correct answer.
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30% of 6th grade student made honor roll. if there are 248 students in 6th grade, how mant students were on the honor roll
Answers
Answer:
74.4
Step-by-step explanation:
what is 8.21 x 10^5 m in Mm
Answers
Name an angle that is supplementary to
Answers
Answer:
to what?
Step-by-step explanation:
Pleassssseee heelelllppp
Samantha and her children went into a grocery store and she bought $7 worth of bananas and peaches. Each banana costs $0.40 and each peach costs $0.50. She bought a total of 15 bananas and peaches altogether. Determine the number of bananas and the number of peaches that Samantha bought.
Answers
Answer:
Ten Peaches and five bananas.
Step-by-step explanation
To solve the problem increase the cost by adding more peaches and less by adding more bananas
7 peaches = 3.50
8 bananas = 3.20 + 3.50 = 6.70
We need 30 more cents so add three more peaches
10 peaches = 5
5 x 0.4 = 2
2 + 5 = 7
1. 81 1/2 x 27 1/3
2. 32x = 729
Answers
Answer:
1.
Step-by-step explanation:
1. 1.811/2=3.622 271/3=813
3.622*813=2,944.686
this is number one
2. 32x=729
divide both sides by 32
32x=729/32=
22.78125 approximate=22.8 or 23
Suppose Aaron is going to build a playlist that contains 5 songs. In how many ways can Aaron arrange the 5 songs on the playlist?
Answers
The number of ways Aaron can arrange the 5 songs on the playlist is equal to 120 ways.
Number of songs = 5
Consider that there are 5 options for the first song.
4 options for the second song since one song has already been used.
3 options for the third song.
2 options for the fourth song.
And only 1 option for the last song.
So the total number of arrangements is equal to,
= 5 × 4 × 3 × 2 × 1
= 120
Alternatively, use the formula for permutations of n objects taken x at a time,
ⁿPₓ= n! / (n - x)!
Here,
The number of songs n = 5
The number of slots on the playlist x = 5
⁵P₅ = 5! / (5 - 5)!
= 5!
= 120 ways
Therefore, the total number of ways Aaron can arrange his 5 songs on playlist is 120.
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Rewrite 7 and 1/8 as an improper fraction.
Answers
Answer:
57/8
Step-by-step explanation:
choosing the pivot row by requiring that the ratio associated with that row be the smallest non-negative number ensures that the iteration will not take us from a feasible point to a non-feasible point.
Answers
Answer:
This statement is true.
In the simplex method, choosing the pivot row involves selecting a row with a negative value in the right-hand column and dividing the elements in the last column by the corresponding elements in the selected row to obtain the ratios. The row with the smallest non-negative ratio is then chosen as the pivot row.
By choosing the pivot row in this way, we ensure that the new solution will still be feasible, meaning that all the constraints will still be satisfied. This is because choosing the smallest non-negative ratio ensures that the new solution will not violate any of the non-negativity constraints.
Therefore, requiring that the ratio associated with the pivot row be the smallest non-negative number is an important step in the simplex method to ensure that the iteration will not take us from a feasible point to a non-feasible point.
Step-by-step explanation:
This statement is true when using the simplex method to solve a linear programming problem.
In the simplex method, we start with a feasible solution and iteratively improve it until we reach an optimal solution. At each iteration, we choose a pivot row and a pivot column to pivot around. The pivot row is chosen based on the ratio of the right-hand side value to the coefficient of the entering variable in that row. This ratio is called the pivot ratio.
Choosing the pivot row with the smallest non-negative pivot ratio ensures that we pivot to a new feasible solution. This is because the pivot row represents a constraint in the linear programming problem, and the pivot ratio represents how much we can increase the value of the entering variable while still satisfying that constraint. If the pivot ratio is negative, it means that increasing the entering variable would violate the corresponding constraint, and so we cannot pivot in that direction.
Therefore, by choosing the pivot row with the smallest non-negative pivot ratio, we ensure that we pivot in a direction that preserves feasibility and does not take us to a non-feasible point.
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Estimate Jupiter’s mass using a one-digit whole number times a power of 10. Be sure to include units.
Answers
The most appropriate choice for exponent will be given by-
Mass of jupiter = 1.898 \(\times\) \(10^{27}\) kg
What are exponent?
Exponent tells us how many times a number is multiplied by itself.
For example : In \(2^4 = 2 \times 2 \times 2 \times 2\)
Here, 2 is multiplied by itself 4 times.
If \(a^m = a\times a \times a\times....\times a\) (m times), a is the base and m is the index.
The laws of index are
\(a^m \times a^n = a^{m+n}\\\\\frac{a^m}{a^n} = a^{m - n}\\\\a^0=1\\\\(a^m)^n = a^{mn}\\\\(\frac{a}{b})^m =\frac{a^m}{b^m}\\\\a^{-m} = \frac{1}{a^m}\)
Here,
Mass of jupiter = 1.898 \(\times\) \(10^{27}\) kg
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Solve the equation 24 - 1/8p = 3/8p
Answers
Answer: p = 48
Step-by-step explanation:
24 - 1/8p = 3/8p Add 1/8p to both sides
+ 1/8p 1/8p
24 = 4/8p Divide both sides by 4/8
p = 48
I need help solving this problem , I don’t understand how or what it’s asking me .
Answers
Answer:
Step-by-step explanation:
99
First correct answer will get brainliest!!!!!!
Lakesha has $63 to spend at a supermarket. She spends 1/3 of her money buying vegetables. How much money does she spend on vegetables?
incorrect answers, etc will be deleted and reported.
Answers
Answer:
$21
Step-by-step explanation:
We need to find out 1/3 of 63.
63*1/3=21
So 63-21=$42
Lakesha spent $21 on vegtables (and has $42 left.)
can you please help me :)
Answers
Answer:
0; 3; 9.
Step-by-step explanation:
If x=20 then y=0.5x20-10 so: 20x0.5=10 10-10=0
If x=26 then y=0.5x26-10 so: 26x0.5=13 13-10=3
If x=38 then y=0.5x38-10 so: 38x0.5=19 19-10=9
Combine like terms to create an equivalent expression.
3.4 - 2.8d +2.8d - 1.3
Answers
Answer:
2.1
Step-by-step explanation:
Simplifying
3.4 + -2.8d + 2.8d + -1.3 = 0
Reorder the terms:
3.4 + -1.3 + -2.8d + 2.8d = 0
Combine like terms: 3.4 + -1.3 = 2.1
2.1 + -2.8d + 2.8d = 0
Combine like terms: -2.8d + 2.8d = 0.0
2.1 + 0.0 = 0
2.1 = 0
Solving
2.1 = 0
Couldn't find a variable to solve for.
This equation is invalid, the left and right sides are not equal, therefore there is no solution.
The town of Mathville is triangular in shape and has a perimeter of 104 km. The interstate borders the southern part of the town, but town residents want to build two more roads, one on each side of the town. The length of one side of the town is ½ the length of the interstate. The length of the other side is 2/3 the length of the interstate. Determine the length of road necessary to complete the town’s task. That is, determine the length of each of the two sides of the town not bordered by the interstate.
Answers
Let's solve this step by step.
Let's denote the length of the interstate as "x".
According to the given information, one side of the town is 1/2 the length of the interstate, which means its length is (1/2)x.
Another side of the town is 2/3 the length of the interstate, which means its length is (2/3)x.The perimeter of the town is the sum of the lengths of all three sides:
Perimeter = (1/2)x + (2/3)x + x
We know that the perimeter is 104 km, so we can set up the equation:
104 = (1/2)x + (2/3)x + x
To simplify the equation, let's find the common denominator of 2 and 3, which is 6:
104 = (3/6)x + (4/6)x + (6/6)x
Now, we can add the fractions:
104 = (13/6)x
To isolate x, we multiply both sides of the equation by 6/13:
104 * (6/13) = x
48 = x
So, the length of the interstate is 48 km.
Now we can find the lengths of the other two sides of the town:Length of one side = (1/2) * 48 = 24 km
Length of the other side = (2/3) * 48 = 32 km
Therefore, the length of the side not bordered by the interstate are 24 km and 32 km, respectively.
Given that the town is triangular in shape with a perimeter of 104 km, one side of the town is half the length of the interstate, while the other side is two-thirds the length of the interstate. By solving the equations derived from these conditions, we find that the length of each of the two sides not bordered by the interstate is 24 km and 32 km, respectively.
Let's denote the length of the interstate as "x" km. According to the given information, one side of the town is half the length of the interstate, so its length is x/2 km. The other side is two-thirds the length of the interstate, making it (2/3)x km.
Since the town is triangular, the sum of all three sides must equal the perimeter of the town, which is 104 km. Therefore, we can write the equation:
x + x/2 + (2/3)x = 104
To solve for x, we can simplify the equation:
(6/6)x + (3/6)x + (4/6)x = 104
(13/6)x = 104
To isolate x, we multiply both sides by 6/13:
x = (6/13) * 104
x = 48 km
Now that we have the length of the interstate, we can determine the lengths of the other two sides. One side is half the length of the interstate, so it is (1/2) * 48 = 24 km. The other side is two-thirds the length of the interstate, so it is (2/3) * 48 = 32 km.
Therefore, the length of each of the two sides of the town not bordered by the interstate is 24 km and 32 km, respectively.
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the snellen letter chart is commonly used to test for
Answers
The snellen letter chart is commonly used to test for visual acuity or clarity of vision.
The Snellen letter chart, named after the Dutch ophthalmologist Herman Snellen, is a widely used tool to assess visual acuity or clarity of vision. It consists of rows of letters or optotypes that decrease in size from top to bottom. The chart is typically displayed at a standardized distance of 20 feet (or 6 meters) from the person being tested.
When an individual reads the Snellen chart, the process involves the following steps:
1. Light enters the eye through the cornea, the transparent front surface of the eye.
2. The cornea focuses the incoming light onto the lens, which further refines the light rays.
3. The lens adjusts its shape to ensure that the light is accurately focused onto the retina, the light-sensitive layer at the back of the eye.
4. The retina contains specialized cells called photoreceptors, which convert light into electrical signals.
5. Among the photoreceptor cells, cones are primarily responsible for color vision and visual acuity. When a person focuses on a specific optotype (such as the letter "E" on the Snellen chart), the light reflecting from that optotype enters the eye and forms an image on the retina.
6. The cones in the retina, specifically in the central area called the macula, respond to the light stimulus and generate electrical signals.
7. These electrical signals are then transmitted via the optic nerve to the visual cortex in the brain for further processing and interpretation.
8. The brain processes the received signals and translates them into the perception of the letter "E" or any other optotype being viewed.
The clarity of vision is assessed by determining the smallest line of letters that can be accurately identified. The Snellen chart assigns a visual acuity measurement based on the ratio of the distance at which the chart is viewed and the distance at which a person with normal vision can read the line accurately. For example, if a person can read the 20/20 line from a distance of 20 feet, it indicates that they have normal visual acuity.
The Snellen chart is an essential tool in optometry and ophthalmology for diagnosing and monitoring vision problems such as nearsightedness (myopia), farsightedness (hyperopia), astigmatism, and other visual impairments. It helps determine the level of visual acuity and guides the prescription of corrective lenses or other treatments to improve vision.
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at a student government fundraiser, a notebook costs $6 and a t-shirt costs $12. if the total received for 90 items was $600, how many notebooks were sold?
Answers
As per the given costs, 80 notebooks were sold at the student government fundraiser.
Let the number of notebooks sold be = N
Let the number of t-shirts sold be = T
Setting the equation, representing the total number of items sold
N + T = 90
or N = 90 - T.
Setting the equation, representing the total amount -
6N + 12T = 600
Substituting this value of N into the second equation -
6(90 - T) + 12T = 600
540 - 6T + 12T = 600
6T = 600 - 540
6T = 60
T = 60 / 6
T = 10
Substituting the value of T back into the first equation to find the value of n or total notebooks -
N + 10 = 90
N = 90 - 10
N = 80
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A student council collects aluminum pop tabs to raise money to purchase a wheel chair. A company buys the pop tabs for $0.88 per kilogram. If 1267 pop tabs have a mass of one pound, how many pop tabs are needed to purchase a wheel chair worth $1500? (Hint 1 kilogram = 2.2 pounds) Show your work
Answers
Answer:
1,520
Step-by-step explanation:
2.2x1,267=2,787 and 2,787-1,520=1,267 therefore the answer is 1,520 because you subtract 1,520 to get 1,276
A chi-square test should not be used if any expected frequency is less than five. true or false
True False
Answers
Answer:
True
Step-by-step explanation:
mike wants to buy the same number of balloons for 2 of his friends. her has $59, and each balloon costs $7. What is the largest number of balloons that mike buys for each friend
Answers
Answer:
4
Step-by-step explanation:
7x8=56 wich is the highest number it can go to
so 8/2=4
4 pts
Find the perimeter of each polygon. Assume that lines which appear tangent
are tangent.
13.8
5.8
5.5
Answers
Answer:
25.1
Step-by-step explanation:
for perimeter you just add them all together
WILL GIVE BRAINLY
If sin (x) =3 cos(x), then what is sin(x) times cos (x)?
Answers
sin^2(x) + cos^2(x) = 1
Dividing both sides by cos^2(x):
tan^2(x) + 1 = sec^2(x)
Substituting sin(x) = 3cos(x) into the left-hand side:
tan^2(x) + 1 = (1/9)sec^2(x)
Multiplying both sides by cos^2(x):
(sin(x)/cos(x))^2 + cos^2(x) = (1/9)(1/cos^2(x))
Expanding the left-hand side:
sin^2(x)/cos^2(x) + cos^2(x) = 1/9cos^2(x)
Rearranging and factoring out cos^2(x):
sin^2(x) = (1/8)cos^4(x)
Multiplying both sides by cos(x):
sin^2(x)cos(x) = (1/8)cos^5(x)
Using the identity sin(x)cos(x) = (1/2)sin(2x):
(1/2)sin(2x) = (1/8)cos^5(x)
Multiplying both sides by cos(x):
(1/2)sin(2x)cos(x) = (1/8)cos^6(x)
Using the identity sin(2x) = 2sin(x)cos(x):
sin(x)cos(x) = (1/16)cos^6(x)
Therefore, sin(x)cos(x) is equal to (1/16)cos^6(x).
How many real fifth roots does -0.00243 have?
Answers
Answer:
I get 3 so i don't know
Step-by-step explanation:
Verify the property a x (b+c) =(a x b)+(a x c) by taking: a = -7, b = (2/5), c = (-3/7)
Answers
= -14/5 + 3
=1/5
Pls help I’m struggling with this question.
Answers
Answer:
{1000, 1100, 1200, 1300, 1400, 1500, 1600}
Step-by-step explanation:
\(\text{Domain is the set of x values}\) (The input)
\(\text{andRange is the set of y values}\) (The output)
\(\text{In this case, y = pay per month}\)
\(\text{so Range = {1000, 1100, 1200, 1300, 1400, 1500, 1600}}\)
Help me, please, please!
Answers
x° = 118°
y° = 180° - (22° + 180° - x°)
y° = 180° - (22° + 180° - 118°)
y° = 180° - 22° - 180° + 118°
y° = 118° - 22°
y° = 98°
Which algebraic expression is equivalent to the expression below?
3(5x + 7) - 6(4 - 25)
Answers
Answer:
15x+21-24+150
15×+147
Answer:
15x + 147
Step-by-step explanation:
The given algebraic expression to us is ,
⇒ 3(5x + 7) - 6(4 - 25 )
On opening the brackets ,
⇒ 15x + 21 - 24 + 150
⇒ 15x + 147
There are 180 puppies in the shelter with 9 kids. How many students puppies per kids?
Answers
The number of puppies per kids is 20 puppies.
Given that, there are 180 puppies in the shelter with 9 kids.
Number of puppies per kids = Total number of puppies/Number of kids
= 180/9
= 20 puppies
Therefore, the number of puppies per kids is 20 puppies.
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What is 94 inches in feet ?
Answers
94 inches is equal to 7.83333 feet.
To convert inches to feet, you can use the conversion factor
1 inch = 0.08333 feet. To convert 94 inches to feet, you simply divide 94 by 12 as there are 12 inches in 1 foot, which gives you 7.83333 feet.
It's important to note that inches (in) and feet (ft) are both units of measurement for length. The inch is a unit of measurement in the imperial system, which is primarily used in the United States, while the foot is also a unit of measurement in the imperial system but it's commonly used in United States and several other countries.
When measuring length, it is essential to be aware of which unit of measurement is being used to ensure accurate conversion. Additionally, it's important to note that 94 inches is approximately equal to 7.83333 ft, but it's not exactly 7.83333 ft due to rounding and approximation in the conversion.
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