Find the hypotenuse of an isosceles right triangle when the legs each measure 3\sqrt{x} 2inches.
Answers
The hypotenuse of the right triangle measures 3 units.
How to find the hypotenuse?
Here we know that both legs measure:
\(L =\frac{3}{\sqrt{2} }\)
If we use the Pythagorean theorem, we will see that the hypotenuse H can be written as:
\(H^2 = (\frac{3}{\sqrt{2} } )^2 + (\frac{3}{\sqrt{2} } )^2 \\\\H^2 = \frac{9}{2} + \frac{9}{2} = \frac{18}{2} = 9\\\\H = \sqrt{9} = 3\)
Then we conclude that the hypotenuse of the right triangle measures 9 units.
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Related Questions
Please help me pretty please I been stuck on this for a while now
Answers
50 pts PLZ HURRY AND HELP IM TIMED
How many faces does the solid made from the net below have?
5
6
10
15
Answers
Answer: 10 is your answer
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Just keep looking at the faces.
Hopefully im correct, this is my 1st one :)
How many cubes in the shape below?
Answers
Answer:
18 x 6 = 108 so 108
Step-by-step explanation:
Question 23 of 25
What is the value of x in the diagram below?
49
IN
14
2
A. 6
B. 9
C. 8
D. 7
HELP ASAPPPPPP
Answers
Answer: D
Step-by-step explanation:
because 7x7= 49
pls answer and ill give brainliest
Answers
Answer:
185
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
3885=21d
21d=3885
d=185
A shipping company uses a formula to determine the cost for shipping a package: c = 2.79 + 0.38p, where c is the cost of shipping and p is the number of pounds. What is the cost of shipping a package that weighs 8 pounds?
Answers
Using the formula they gave us:
Cost of shipping = 2.79 + 0.38(8)
Cost of shipping = 2.79 + 3.04
Cost of shipping = 5.83(currency unit)
Which situation would best be represented by positive 6?A. Taking an elevator down 6 floors in a buildingB. Deleting 6 photos from a camera's memory cardC. A plant growing 6 inchesD. A group of 6 students getting off a bus
Answers
Given
The situation would best be represented by positive 6
Solution
Let us look at the first option
A. Taking an elevator down 6 floors in a building
Since it is coming down, this situation represents negative 6
B. Deleting 6 photos from a camera's memory card
Since we are removing, it also represent negative 6
C. A plant growing 6 inches
This is increasing and gaining height, so it represent positive 6
D. A group of 6 students getting off a bus
This also is a situation of negative 6, since the students are coming off the vehicle.
Therefore the right option is C
Option C
I will mark as brillianest...plzz solve the question.
Factorize:
1) 6x²+x-2
Answers
Answer:
( 2 − 1 ) ( 3 + 2 )
Step-by-step explanation:
6 ² + − 2
6x² + 4 - 3 -2
2 ( 3 + 2 )− 1 ( 3 +2 )
( 2 − 1 ) ( 3 + 2 )
4²times 4² is ? Explain how you know and simplify please
Answers
Answer:
For me, it always helps to break down equations like this. Divide it up into two separate parts.
4^2*4^2=x
4^2=16
Replace both 4^2 with 16
16*16=256
Given the following electronic configurations, identify how many valence electrons each atom has.
A =
B =
C =
A 3-column table with 3 rows. Column 1 is labeled Element with entries Sodium (upper N a), Oxygen (upper O), and Iron (upper F e). Column 2 is labeled electron configuration with entries 1 s superscript 2, 2 s superscript 2, 2 p superscript 6, 3 s superscript 1; 1 s super 2; 2 s super 2, 2 p super 4; and 1 s super 2, 2 s super 2, 2 p super 6, e p super 6, 4 s super 2, 3 d super 6. Column 3 is labeled number of valence electrons with entries A, B, and C.
Answers
Answer:
a= 1
b= 6
c= 8
Step-by-step explanation:
Answer:
Here's the correct answer for Edge 2021
Step-by-step explanation:
Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 3 < x < 6. х f(x) 0 8 3 10 6 12 9 14 12 16
Answers
in the interval
\(3\le x\le6\)we can see that
\(\begin{gathered} \text{when x=3, y=f(x)=10} \\ \text{when x=6, y=f(x)=12} \end{gathered}\)the average rate of change is the slope m. The formula for m is
\(m=\frac{y_2-y_1}{x_2-x_1}\)where
\(\begin{gathered} (x_1,y_1)=(3,10) \\ \text{and} \\ (x_2,y_2)=(6,12) \end{gathered}\)By substituying these values, we have
\(m=\frac{12-10}{6-3}\)hence,
\(m=\frac{2}{3}\)Therefore, the average rate of change is 2/3=0.667
A department store manager wants to estimate the mean amount spent by all customers at this store at a 97% confidence level. The manager knows that the standard deviation of amounts spent by all customers at this store is $59. What minimum sample size should he choose so that the estimate is within $5 of the population mean
Answers
In statistics, the estimation of a population parameter based on the statistics of a sample is known as a point estimate.
A point estimate is an estimation of a population parameter based on a single statistic obtained from a sample. The formula for a point estimate is given as:Point estimate = Sample statisticIn the given question, the department store manager wants to estimate the mean amount spent by all customers at this store at a 97% confidence level, and the manager knows that the standard deviation of amounts spent by all customers at this store is $59. The minimum sample size should be chosen so that the estimate is within $5 of the population mean.
The formula for calculating the minimum sample size required to estimate the population mean with a certain level of confidence is given as: n = (z^2 * σ^2) / E^2Where,n = the minimum sample size required to estimate the population meanz = the z-value for the desired level of confidenceσ = the population standard deviationE = the maximum allowable errorSo, the first step is to find the value of z at the 97% confidence level using the z-table.The z-value for the 97% confidence level is 1.8808 approximately.
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Where is the solution to a system of linear inequalities?
Answers
Expressions that use the inequality symbols to compare two linear expressions are known as linear inequalities.
How to Solve the System inequalities ?Follow the procedures listed below to graph each linear inequality in a system of inequalities on the same x-y axis and solve the system of inequalities:For y, resolve the inequality.Consider the inequality to be a linear equation, and depending on the inequality sign, graph the line as either a solid line or a dashed line.Draw the line as a dashed line if the inequality symbol is missing an equals sign (or).Draw the line as a solid line if the inequality sign contains an equals sign (or).Shade the area where the inequality is satisfied.For each inequality, repeat steps 1-3.The region where all of the inequalities intersect will be the solution set.To learn more about System inequalities refer to:
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joseph omuederiay = E Homework: Quiz 2 Question 13, 19.1-12 > HW Score: 41.33 points O Points: 0 of 1 In order to determine the economy's real GDP growth rate between two time periods, we should look at ... OA. real national income in each time period, which is equal to nominal national income corrected for price - level changes. OB. nominal national income, because it compares actual output in each time period. OC. only the real national product from the latest time period. OD. potential national income, corrected for price -level changes. OE. real national income in each period, which is equal to nominal national income corrected for quantity changes. ہے joseph omuederiay = E Homework: Quiz 2 Question 13, 19.1-12 > HW Score: 41.33 points O Points: 0 of 1 In order to determine the economy's real GDP growth rate between two time periods, we should look at ... OA. real national income in each time period, which is equal to nominal national income corrected for price - level changes. OB. nominal national income, because it compares actual output in each time period. OC. only the real national product from the latest time period. OD. potential national income, corrected for price -level changes. OE. real national income in each period, which is equal to nominal national income corrected for quantity changes. ہے
Answers
In order to determine the economy's real GDP growth rate between two time periods, we should look at real national income in each time period, which is equal to nominal national income corrected for price-level changes.
Therefore, the correct option is A.
What is real national income?Real national income is the total income generated by the economy in a particular time frame. It reflects the total output of the economy during a given period of time adjusted for inflation. It's calculated by adjusting nominal national income for price changes or inflation.
To calculate real national income, economists use a deflator index, which is a price index. It calculates the difference in price level between the base year and the current year for each item produced.
As a result, economists can figure out how much of the change in nominal national income from one year to the next is due to price level changes.
Hence, the answer of the question is A
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Trey took 5/4
hours to clean the bedroom. He took1/2
hours to clean the den. How much longer did it take Trey to clean the bedroom?
Write your answer as a mixed number in simplest form.
Answers
Answer:
3/4 more hours
Step-by-step explanation:
Hours taken to clean bedroom = 5/4
Hours taken to clean den = 1/2
How much more = 5/4 - 1/2
5-2/4 (common denominator)
3/4 more hours (It's a propper fraction, so we can't write it as a mixed number)
Answer from Gauthmath
Help me please I am having trouble figuring out the answer. Help me find the ratio.
Answers
Answer:
not equivalent to meteorologists ratio
Step-by-step explanation:
meteorologists ratio is
rainy days : sunny days = 2 : 5
last months weather is
rainy days : sunny days
= 10 : 20 ( divide both parts by LCM of 10 )
= 1 : 2 ← not equivalent to 2 : 5
Write the quadratic equation in standard form:
5x2 + 7 + 3x = -3x
Answers
Answer:
Add 3x to both sides of the equation.
5x²+7+3x+3x=0
Add 3x and 3x .
5x²+7+6x=0
To write a polynomial in standard form, simplify and then arrange the terms in descending order.
ax²+bx+c=0 Move 7.
5x²+6x+7=0
Step-by-step explanation:
Michael is a CE student. During his surveying class he determined his pace factor by walking on a 50 m line with the following results; 62, ... 61, 62.25, 61, and 62. His family owns a rectangular lot and it is known that the lines AB and BC are perpendicular to each other. Michael paced from A-B and B-C in order to determine the area of the said lot. Using the following data, and the given area is 177.74 m ^2 , what is the missing pacing? TABLe line =AB & BC are average number of paces = 15 & 18
Answers
The missing pacing is approximately 0.811.
To determine the missing pacing, we can use the concept of the pace factor. The pace factor is the average distance covered in one pace.
Given data:
- Line AB: Average number of paces = 15
- Line BC: Average number of paces = 18
- Area of the lot: 177.74 \(m^2\)
First, we need to calculate the total distance covered for lines AB and BC. Since we know the pace factor, we can multiply the average number of paces by the pace factor to find the total distance:
Distance AB = Average number of paces (AB) * Pace factor
Distance AB = 15 * Pace factor
Distance BC = Average number of paces (BC) * Pace factor
Distance BC = 18 * Pace factor
Since the lines AB and BC are perpendicular to each other, the area of the lot can be calculated as the product of the distances AB and BC:
Area of lot = Distance AB * Distance BC
Now we can solve for the missing pacing:
177.74 = (15 * Pace factor) * (18 * Pace factor)
177.74 = 270 * \((Pace factor)^2\)
Dividing both sides by 270:
\((Pace factor)^2\) = 177.74 / 270
\((Pace factor)^2\) ≈ 0.658
Taking the square root of both sides:
Pace factor ≈ √0.658
Pace factor ≈ 0.811
Therefore, the missing pacing is approximately 0.811.
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how you can graph an exponential function with the help of doubling time or half-life
Answers
The doubling time or half-life and understanding the properties of functions, you can graphically represent the behavior of the quantity over time.
To graph an exponential function using the doubling time or half-life, follow these steps:
Understand the exponential function: An exponential function is of the form f(x) = a * bx, where 'a' is the initial value, 'b' is the base, and 'x' is the independent variable.
Doubling time: If you know the doubling time, which is the time it takes for the quantity to double, you can use it to determine the value of 'b'. The formula to calculate 'b' is b = 2(1/doubling time).
Half-life: If you know the half-life, which is the time it takes for the quantity to reduce to half its initial value, you can use it to determine the value of 'b'. The formula to calculate 'b' is b = 0.5^(1/half-life).
Determine the initial value 'a' based on the given information or observation.
Use the values of 'a' and 'b' to create ordered pairs (x, y), where 'x' represents time and 'y' represents the quantity. Choose several values of 'x' to calculate 'y' using the exponential function formula.
Plot the ordered pairs on a graph, with 'x' on the horizontal axis and 'y' on the vertical axis.
Connect the plotted points with a smooth curve to represent the exponential growth or decay. By using the doubling time or half-life and understanding the properties of exponential functions, you can graphically represent the behavior of the quantity over time.
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Find the quotient and remainder when p (x) divides with g (x) question (i) P (x) = x raise to 4 - 3 x square +4x + 5, g (x) = x square +5
Answers
Answer: \(x^2-8+\dfrac{4x+5}{x^4-3x^2+4x+5}\)
Step-by-step explanation:
P(x) = x⁴ - 3x² + 4x + 5
g(x) = x² + 5
_x²_- 8
x² + 5) x⁴ + 0x³ - 3x² + 4x + 5
-(x⁴ + 0x³ + 5x²) ↓ ↓
-8x² + 4x + 5
-(-8x² + 0x - 40)
4x + 45
\(\dfrac{x^4-3x^2+4x+5}{x^2+5}=\large\boxed{x^2-8+\dfrac{4x+5}{x^4-3x^2+4x+5}}\)
you would like to determine if candidate barton will win the upcoming senate race. a randomly sampled poll shows candidate barton ahead of candidate smith. candidate barton is projected to win 45% of the votes and candidate smith is projected to win 43% of the votes. select the best answer - if the margin of error is 3% for the poll, are you confident that candidate barton will win the election?
Answers
It cannot be confidently stated that candidate Barton will win the upcoming senate race, despite being projected to receive 45% of the votes with a 2% lead over candidate Smith. This can be solved by the concept of Probability.
To determine the confidence level for candidate Barton's victory, we need to calculate the confidence interval for the poll results. The formula for the confidence interval is:
CI = p ± z * (sqrt(p * (1-p) / n))
where CI is the confidence interval, p is the proportion of support for candidate Barton (0.45 in this case), z is the z-score corresponding to the desired level of confidence (e.g. 1.96 for a 95% confidence level), and n is the sample size (which is not given in the question). Assuming a 95% confidence level, we can use the z-score of 1.96 and plug in the values to get:
CI = 0.45 ± 1.96 * (sqrt(0.45 * 0.55 / n))
Simplifying this expression, we get:
CI = 0.45 ± 0.03
This means that there is a 95% chance that the true proportion of support for candidate Barton falls within the range of 0.42 to 0.48. Since candidate Smith is projected to receive 43% of the votes, there is a significant overlap between the confidence intervals for both candidates, indicating that the election outcome is uncertain.
Therefore, we cannot be confident that candidate Barton will win the election
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A.If you deposit $10 into an empty bank account, and then withdraw $10 from the account, how much money is left in the account? B.. If you start at zero and add 7, then subtract 7, where do you end up?
Answers
Answer:
A. $0
B. 0
Step-by-step explanation:
A. If you deposit $10 in an empty bank account and you withdraw $10 from the account, the amount of money left in the account will be:
10 - 10 = $0
B. If you start at 0, add 7 and subtract 7, you'll end up at:
0 + 7 - 7 = 0
I need help make sure to round it to the nearest 10th
Answers
Answer:
10.52
Step-by-step explanation
Step by step explanation: in order to find the missing side you need to use sin=opposite/hypotenuse, which gets you sin26*=x/24, multiply both sides by 24 which will get you 24(sin26*)=x once rounded to the nearest tenth will give you the result of 10.5
Match each whole number with a rational, exponential expression.
Answers
Answer:
1. 343^2/3 = 49
2. (2197^1/3)² = 169
3. 729^2/3 = 81
4. (1000²)^1/3 = 100
5. (³√9261)² = 441
6. ³√216² = 36
Hope this helps.
if two numbers will be randomly chosen without replacement from $\{3, 4, 5, 6\}$, what is the probability that their product will be a multiple of $9$? express your answer as a common fraction.
Answers
The probability that the product of two numbers randomly chosen without replacement from ${3, 4, 5, 6}$ will be a multiple of 9 is $\frac{1}{6}$.
To find the probability that the product of two numbers randomly chosen without replacement from a set will be a multiple of a certain number, we can count the number of pairs of numbers in the set that have a product that is a multiple of the given number and divide this number by the total number of pairs of numbers that can be chosen without replacement.
In this case, the set of numbers is ${3, 4, 5, 6}$, and the number that we want the product to be a multiple of is 9. There is only one pair of numbers in this set whose product is a multiple of 9, which is 3 and 9. There are a total of $\binom{4}{2} = 6$ pairs of numbers that can be chosen without replacement from this set.
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5p + 3 = 15
Write a situation that this equation could help you solve and explain how each part of the equation relates to the situation you create.
Answers
The given expression represents a number whose 5 times is 3 less than 15 which is 12/5.
Given that,
An expression is given we have to discuss what the expression 5p + 3 = 15 implies.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
5p + 3 = 15
5p = 15 - 3
p = 12 / 5
Thus, the given expression represents a number whose 5 times is 3 less than 15 which is 12/5.
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Hellohello, if you able to help me then please do. (:
Answers
Answer:
7 + 1.5 = 8.5
Step-by-step explanation:
hopefully i got that right
Select all of the following statements that are true. Real Numbers
Answers
The only statement that is true from the options provided is All whole numbers are integers.
What are the true statements?Here's an explanation for each statement:
All real numbers are natural numbers: This statement is false. Real numbers include all rational and irrational numbers, whereas natural numbers are a subset of the integers that start from 1 and go up infinitely. Thus, not all real numbers are natural numbers.All whole numbers are integers: This statement is true. Whole numbers are non-negative integers, including 0. Thus, all whole numbers are integers.All integers are whole numbers: This statement is true. Integers include both positive and negative whole numbers, and thus are a superset of whole numbers.All natural numbers are rational numbers: This statement is false. Natural numbers are a subset of integers, and while all integers are rational numbers, not all natural numbers are rational numbers. For example, the square root of 2 is an irrational number and not a rational number.All irrational numbers are dense: This statement is false. While it is true that irrational numbers are dense, meaning that between any two irrational numbers there is another irrational number, this is not a property that only irrational numbers possess. In fact, all real numbers, both rational and irrational, are dense on the number line.Note: This question is incomplete. Here is the complete information:
Options:
All real numbers are natural numbersAll whole numbers are integersAll integers are whole numbersAll natural numbers are rational numbersAll irrational numbers are denseLearn more about numbers in: https://brainly.com/question/17429689
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What is the first step in solving this system of equations using elimination?
3
y = -x+3
4
2x - 4y = 6
A. Write the second equation in slope-intercept form.
B. Subtract 2x from both sides of the second equation.
C. Write the first equation in standard form.
D. Multiply the first equation by 3.
Please select the best answer from the choices provided
Answers
Answer:
C. Write the first equation in standard form.
ℎ () = || − 1
) , ℎ , ()ℎ ℎ | |
) ℎ ℎ ℎ
2) ℎ , ℎ ℎ ()
ℎ : ⟶ −²
Answers
Answer:
gsuwiehjdsjkwebskwkahska