Answer:
y = \(\sqrt{19^2 + 8.2^2}\)
Step-by-step explanation:
to get the hypotenuse:
use the Pythagorean theorem:
a² + b² = c²
where a = 19, b = 8.2 c = y
plugin values:
19² + 8.2² = y²
y = \(\sqrt{19^2 + 8.2^2}\)
Answer:
y = \(\sqrt{19^2+8.2^2}\)
Step-by-step explanation:
Find the hypotenuse
As the economic prosperity of the 1990s decreased, what changes would one expect in the design of houses?
Answer:
immagrants would start to make houses out of stone sticks and hay
Step-by-step explanation:
pls mark brainlyest
Answer:
They don't like the look or it doesn't fit the style of their home. I could argue back and say that if they at least look at all the options, they might change their mind. Also, people are making new Eco-friendly products that might fit their house style every day
Step-by-step explanation:
20
19) A frame is 4 in tall and 2 in wide. If it is
enlarged to a width of 6 in, then how tall
will it be?
Answer:
12 in
Step-by-step explanation:
the scale factor of the enlarged frame is found by comparing the widths
original width : enlarged width = 2 : 6 = 1 : 3
That is 3 times the original width , then
enlarged height = 4 × 3 = 12 in
A wheel with a radius of 45.0 cm rolls without slipping (c) the
along a horizontal floor At time ty, the dot P painted
on the rim of the wheel is at the point of contact between the
wheel and the floor. At a later time tz, the wheel has rolle
through one-half of a revolution. What is the displacement of wheel
during this interval?
Therefore, the displacement of the wheel during this interval is approximately 141.372 cm.
To find the displacement of the wheel during this interval, we need to determine the distance traveled by a point on the rim of the wheel.
Given:
Radius of the wheel: 45.0 cm
The wheel rolls without slipping
The wheel rolls through one-half of a revolution
Since the wheel rolls without slipping, the distance traveled by a point on the rim of the wheel is equal to the circumference of the wheel for each complete revolution. Therefore, the distance traveled for one-half of a revolution is equal to half the circumference of the wheel.
The circumference of a circle can be calculated using the formula: C = 2πr, where r is the radius of the circle.
Using the given radius of the wheel, we can calculate the circumference:
C = 2π(45.0 cm) ≈ 2π(45.0) cm ≈ 282.743 cm (rounded to three decimal places)
Since the wheel rolls through one-half of a revolution, the displacement is equal to half the circumference of the wheel:
Displacement = 0.5 × 282.743 cm ≈ 141.372 cm (rounded to three decimal places)
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The wheel's displacement is equal to the 282.6 cm that it has covered in its voyage.
To find the displacement of the wheel during this intervalWe must ascertain the wheel's distance traveled and the displacement's direction.
Since the wheel has completed one-half of a revolution, the distance it has gone is equal to half its circumference. The formula: can be used to determine a circle's circumference:
Circumference = 2 * π * radius
In this case, the radius of the wheel is 45.0 cm. Let's calculate the circumference:
Circumference = 2 * π * 45.0 cm
Circumference ≈ 2 * 3.14 * 45.0 cm
Circumference ≈ 282.6 cm
So, the distance traveled by the wheel is approximately 282.6 cm.
The wheel's displacement is the angular separation between its starting point, where it first makes contact with the ground, and its finishing point, where it stops after rolling through one-half of a rotation. The point of contact with the floor does not move since the wheel is moving without slipping.
Therefore, the wheel's displacement is equal to the 282.6 cm that it has covered in its voyage.
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The price of an item has been reduced by 60%. The original price was $45. What is the price of the item now?
Answer:
$27
Step-by-step explanation:
PLEASE HELP ME QUICKLY!!!!! Which ordered pair is a solution to the system of inequalities graphed here? Thanks (:
Answer:
B. (3,-1)
Step-by-step explanation:
Well we have to find the ordered pair that is in the blue.
So let’s look at all the choices.
A. (-4,2) this is on the point where both lines connect but it is not a solution.
B. (3,-1) this is in the blue so it is correct.
C. (-3,4) it is in the white so it is not correct.
D. (-2,-1) This is completely out of the blue so it it wrong.
So B. (3,-1) is the correct answer.
An enclosure at a zoo contains giraffes and ostriches. All together the zookeeper counts 70 heads and 200 legs. How many of each animal are there?
By solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.
A mathematical statement known as an equation is made up of two expressions joined by the equal sign.
A formula would be 3x - 5 = 16, for instance.
When this equation is solved, we discover that the number of the variable x is 7.
So, calculate as follows:
Let g represent giraffes and o represent ostriches.
g + o = 70 ...(1)
4*g + 2*o = 200 ...(2)
g = 70 - o, according to equation 1, therefore we may enter that number in place of g in equation 2 to obtain:
4*g + 2*o = 200
4*(70-o) + 2*o = 200
280 - 4o + 2o = 200
-2o = 200 - 280
2o = 80
o = 80/2
o = 40
Ostriches are 40 then giraffes will be:
70 - 40 = 30
Therefore, by solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.
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What angular resolution would you need to see the Sun and Jupiter as distinct points of light? Express your answer in arcseconds to two significant figures. Jupiter 195| ΑΣΦ % ? 11 Suppose you were looking at our own solar system from a distance of 6.0 light-years.
An angular resolution of 0.56 arcseconds is required to see the Sun and Jupiter as separate objects. This is an extremely small angle and would necessitate the use of a large telescope.
Angular resolution is defined as the minimum angle between two objects that enables a viewer to see them as distinct objects rather than as a single one. A better angular resolution corresponds to a smaller minimum angle. The angular resolution formula is θ = 1.22 λ / D, where λ is the wavelength of light and D is the diameter of the telescope. Thus, the angular resolution formula can be expressed as the smallest angle between two objects that allows a viewer to distinguish between them. In arcseconds, the answer should be given to two significant figures.
To see the Sun and Jupiter as distinct points of light, we need to have a good angular resolution. The angular resolution is calculated as follows:
θ = 1.22 λ / D, where θ is the angular resolution, λ is the wavelength of the light, and D is the diameter of the telescope.
Using this formula, we can find the minimum angular resolution required to see the Sun and Jupiter as separate objects. The Sun and Jupiter are at an average distance of 5.2 astronomical units (AU) from each other. An AU is the distance from the Earth to the Sun, which is about 150 million kilometers. This means that the distance between Jupiter and the Sun is 780 million kilometers.
To determine the angular resolution, we need to know the wavelength of the light and the diameter of the telescope. Let's use visible light (λ = 550 nm) and assume that we are using a telescope with a diameter of 2.5 meters.
θ = 1.22 λ / D = 1.22 × 550 × 10^-9 / 2.5 = 2.7 × 10^-6 rad
To convert radians to arcseconds, multiply by 206,265.θ = 2.7 × 10^-6 × 206,265 = 0.56 arcseconds
The angular resolution required to see the Sun and Jupiter as distinct points of light is 0.56 arcseconds.
This is very small and would require a large telescope to achieve.
In conclusion, we require an angular resolution of 0.56 arcseconds to see the Sun and Jupiter as separate objects. This is an extremely small angle and would necessitate the use of a large telescope.
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1. Solve for “P” A=P+Prt
2. Solve for “x” ax+3=bx-5
Please help me work out these equations
Answer:
P = A/1+rt
Step-by-step explanation:
Given: A = P + Prt
Applying the distributive principle: A = P( 1 + rt)
Dividing both sides by (1 + rt):
A/1 + rt = P
$1,200 is invested at a compound interest rate of 4% for 2 years. how much is the account at the end of the 2-year period? round to the nearest cent, if necessary.
After compounding annually, the balance amount after 2 years is $1298.
What is compound interest?
The amount of interest we earn after taking interest on interest is called compound interest.
Given,
Principal amount = $1200
Interest Rate = 4%
Time period N = 2 years
Assuming compounding is done annually, we can find the amount after 2 years using the following formula,
\(P_{N} = P_{0} (1+\frac{r}{k} )^{Nk}\)
where,
\(P_{N\\}\) is the amount in the account after N years
\(P_{0}\) is the principal amount
r is the annual interest rate
k is the number of compounding periods
Substituting the values in above equation,
\(P_{2} = 1200( 1 + \frac{0.04}{1}) ^{2*1}\) = $1297.92 = $1298
Therefore the amount in the account after 2 years, compounding annually is $1298.
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A couple buys a \( \$ 200000 \) home, making a down payment of \( 22 \% \). The couple finances the purchase with a 15 year mortgage at an annual rate of \( 2.75 \% \). Find the monthly payment
The monthly mortgage payment will be approximately \(\$1,054.84\).
To find the monthly mortgage payment, we need to calculate the principal amount and the monthly interest rate.
Given:
- Home price: \(\$200,000\)
- Down payment: \(22\%\) of \(\$200,000\)
- Loan amount (principal): \(\$200,000 - (22\% of \$200,000)\)
- Mortgage term: 15 years
- Annual interest rate: \(2.75\%\)
Calculating the principal amount:
Down payment = \(22\% of \$200,000 = \$44,000\)
Principal = $200,000 - $44,000 = $156,000
Calculating the monthly interest rate:
Monthly interest rate = Annual interest rate / 12
Monthly interest rate = \(2.75\% / 12 = 0.0022917\)
To find the monthly mortgage payment, we can use the formula for the monthly payment on an amortizing loan:
\(Monthly payment = (Principal * Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Total number of months))\)
Total number of months = \(Mortgage term * 12 = 15 * 12 = 180\)
Calculating the monthly mortgage payment:
\(Monthly payment = (\$156,000 * 0.0022917) / (1 - (1 + 0.0022917)^(-180)) = \$1,054.84\)
Therefore, the monthly mortgage payment will be approximately \(\$1,054.84.\)
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What is the equation of a line, in slope-intercept form, which passes through (4, -1) and has a slope of 1/3
The equation, in slope-intercept form of the line is: y = 1/3x - 7/3.
How to Find the Equation of a Line in Slope-intercept Form?The equation that represents a line, where m is the slope and b is the y-intercept, is written in the slope-intercept form as y = mx + b.
Given the following:
Slope of the line (m) = 1/3
The line passes through a point, (4, -1).
Find the value of the y-intercept (b) by substituting m = 1/3, x = 4, and y = -1 into y = mx + b:
-1 = 1/3(4) + b
-1 = 4/3 + b
-1 - 4/3 = b
b = -7/3
Write the equation in slope-intercept form by substituting m = 1/3 and b = -7/3 into y = mx + b:
y = 1/3x - 7/3.
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-
Find all complex solutions of 3x -3x+7=0.
+=.
(If there is more than one solution, separate them with commas.)
= 1
0/0
i 0,0,...
Х
?
Answer:
Step-by-step explanation:
3x² - 3x + 7 = 0
a = 3 ; b = -3 and c = 7
D = b² - 4ac = (-3)² - 4*3*7
D = 9 - 84 = - 75
D = 75i²
√D = √75i² = \(\sqrt{5*5*3 * i * i}= 5i\sqrt{3}\)
\(x = \dfrac{-b+\sqrt{D}}{2a} \ ; \ x=\dfrac{-b-\sqrt{D}}{2a}\\\\ \\x=\dfrac{3+5i\sqrt{3}}{6} ; \ ; x = \dfrac{3-5i\sqrt{3}}{6}\\\\\\x =\dfrac{3}{6}+\dfrac{5i\sqrt{3}}{6} ; \ ; x=\dfrac{3}{6}-\dfrac{5i\sqrt{3}}{6}\\\\\\Solution:\\\\x=\dfrac{1}{2}+\dfrac{5\sqrt{3}}{6}i ; \ ; x=\dfrac{1}{2}-\dfrac{5\sqrt{3}}{6}i\)
Can someone Please help me on this question!?
B. \( |2x + 1| + 1\)
Step-by-step explanation:\(( |2x + 1| + 3) - 2\)
\( |2x + 1| + 3 - 2\)
\( |2x + 1| + (3 - 2)\)
\( = |2x + 1| + 1\)
Can someone help with this?
Answer:
35
Step-by-step explanation:
There 3 sides of a triangle.There are three corners called verticals in a triangle.So you will need to add 62+45=107.The you need to divide.107/3=35.
Hope this helps you
Is 63 ÷ –7 positive or negative?
Answer:
Negative
Step-by-step explanation:
Answer:
Negative
Step-by-step explanation:
A positive divided by a negative is a negative.
If these two shapes are similar, what is the measure of the missing length s?
there are 32 students in ms keys he homeroom. of the students 3/8 are boys. how many boys are in the homeroom
Answer: 12 out of the 32 would be boys. Hope this helps.
Answer:
Step-by-step explanation:
Ok from scratch
32*3/8=12
So 12 boys
If you wanted to know girls subtract boys from total. (B= boys, G=Girls, T=Total).
So formula=G=T-B
B=3/8T
T=B+G
Hope this helps you very much!
Solve for j.
–9.3j + 12.34 = –14.64 − 5.2j − 6j
So the value of j is -14.2
look at the attached picture
Hope it will help you
Good luck on your assignment
Using the net below, find the surface area
of the triangular prism.
7 cm
5 cm
15 cm
4 cm
Surface Area =
5 cm
7 cm
[?] cm²
Enter
The Surface area of the triangular prism with the net shown below is 106 cm²
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Surface area of the triangular prism = 2(0.5 * 5 * 3) + (7 * 3) + 2(7 * 5) = 106 cm²
The Surface area of the triangular prism with the net shown below is 106 cm²
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A store sells a 1 1/4 pound package of turkey for $9
.What is the unit price of the turkey in the package?
If 1(1/4) pound of turkey is sold for $9, then the unit-price of the turkey is $7.20 per pound.
The "Unit-Price" is defined as the price of a single unit or item of a product, typically expressed in terms of a standard unit of measurement, such as price per pound, price per liter, or price per piece.
To find the unit price of turkey in the package, we need to divide the total cost of the package by the weight of the turkey in the package.
First, we need to convert 1(1/4) pounds to a decimal, which is 1.25 pounds.
Then, we can find the unit price by dividing the total-cost of $9 by the weight of the turkey in the package:
⇒ Unit price = (Total cost)/(Weight of turkey in package),
⇒ Unit price = $9/1.25 pounds,
⇒ Unit price = $7.20 per pound,
Therefore, the unit price of turkey in the package is $7.20 per pound.
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The given question is incomplete, the complete question is
A store sells a 1(1/4) pound package of turkey for $9. What is the unit price of the turkey in the package?
Please help meeeeeeeeeee !!!!!!!!!!!!!!!!
There are 7 ounces of applesauce in each container
What is an equation?An equation consists of numbers and variables linked together by mathematical operations to form an expression.
Let x represent the quantity of Newton applesauce
Descartes makes 72.5 ounces of applesauce, which is 2.5 times of Newtons, hence:
2.5x = 72.5
x = 29 ounce
Newton eats 8 ounces, hence:
Remaining = 29 - 8 = 21 ounces
The remaining is placed into 3 containers. If y represent the amount per container:
3y = 21
y = 7 ounces
There are 7 ounces in each container
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Please help
:)
Thank you
Answer:
x = 8
Step-by-step explanation:
Take x as 8:
8 - 1 = 7
I hope that's right :)
if two angles are complementary then they are not congruent T/F
If two angles are complementary, then they cannot be congruent. This statement is true. Complementary angles are two angles whose sum is 90°. They do not have to be equal in measure.
On the other hand, congruent angles are angles with equal measure.What are complementary angles?Two angles are said to be complementary when they add up to 90 degrees. This means that the sum of the measures of these angles is 90 degrees.
The measures of complementary angles need not be equal.What are congruent angles? Congruent angles are two or more angles with the same measure. In other words, they have the same angle measurement.
Hence, if two angles are congruent, it means they are exactly equal in measure. If two angles are complementary, they cannot be congruent.
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fill in the blank. two samples are ________________ if the sample values are paired. question content area bottom part 1 two samples are ▼ if the sample values are paired.
Two samples are paired if the sample values are paired.
Paired samples are a type of dependent samples where each observation in one sample is uniquely paired or matched with an observation in the other sample. The pairing is usually based on a natural association, such as measuring the same variable on the same subject before and after a treatment, or measuring two variables on the same subject at the same time. Paired samples are often analyzed using methods such as paired t-test or Wilcoxon signed-rank test, which take into account the dependency between the samples. Pairing can also help to reduce variability and increase statistical power in the analysis.
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Use the given information to sketch the graph of f. Domain: All real x, except x-8 and x 8. f-12)=-1; f(0) = 0; f(12) 1. F(x) 0 on (-8, 8) F'(x)
The shape of the graph between the points (-12, -1) and (12, 1) will depend on the behavior of f'(x), which is not provided in the given information. Therefore, we cannot determine the precise shape of the graph in that region without additional information.
To sketch the graph of f(x) using the given information, we have the following data:
Domain: All real x, except x = -8 and x = 8.
f(-12) = -1
f(0) = 0
f(12) = 1
We are also given that f'(x) exists.
Based on this information, we can make the following observations:
At x = -12, f(x) = -1. This indicates that the graph of f(x) passes through the point (-12, -1).
At x = 0, f(x) = 0. This indicates that the graph of f(x) passes through the point (0, 0).
At x = 12, f(x) = 1. This indicates that the graph of f(x) passes through the point (12, 1).
The domain of f(x) is all real numbers except x = -8 and x = 8. This means there are vertical asymptotes at x = -8 and x = 8.
With this information, we can sketch the graph of f(x) as follows:
On the left side of x = -8, the graph approaches the vertical asymptote but does not touch it.
At x = -8, there is a discontinuity in the graph.
Between x = -8 and x = 0, the graph is decreasing from -1 to 0.
At x = 0, the graph reaches a minimum point.
Between x = 0 and x = 8, the graph is increasing from 0 to 1.
At x = 8, there is another discontinuity in the graph.
On the right side of x = 8, the graph approaches the vertical asymptote but does not touch it.
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Please help mehhhhhh T^T
Answer:
Step-by-step explanation:
We can see the graph has an y intercept of 1 and from there the slope goes up one and to the right one so the slope is 1
Select all the correct answers, Consider functions and g. /(x) = –2008(– 1) + 3 g(1) = 2cos(t + 3) – 3
Which statements describe transformations of the graph of fresulting in the graph of function g? A.The graph of function Fhas been reflected over the x-axis. B. The graph of function Fhas been reflected over the v-axis. C. The graph of function fhas been translated 3 units down. D. The graph of function has been translated 3 units left E. The graph of function fhas been translated 4 units left. F. The graph of function has been vertically stretched by a factor of 4
Answer:
Reflected over the x axis and translated 4 units left
Step-by-step explanation:
Just took the test and got 5/5 :)
Answer:
Reflected over the X axis
Tanslated 4 units left.
Step-by-step explanation:
Plato 5/5
Use the distributive property to evaluate the expression. Which statement is equal to 8(26)? Which expression shows the result after using the distributive property? Evaluate the expression.
Answer:
8(20 + 6)
8(20) +8(6)
208
Step-by-step explanation:
Got it right EDGE 2021
The value of 8(26) after using the distributive property will be 208.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
As per the given, 8(26)
8(26) = 8(20 + 6)
By using the distributive property of multiplication,
8(26) = 8 × 20 + 8 × 6
⇒ 160 + 48
⇒ 208
Hence "The value of 8(26) after using the distributive property will be 208".
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There are 20 rows of seats in a concert hall: 25 seats are in the 1st row, 27 seats in the 2nd row, 29 seats in the 3rd row, and so on. How many seats are in the 19th row?
Answer:
61
Step-by-step explanation:
you add 2 seats for every row
can i get brainilest
Kobe has a pair of Jordans that are worth $24,000 in 2021. The shoe increases in price 5.5% per year. What is the show worth in 2041? (Use geometric summation).
The price of the worth of the shoes in 2041 is $836839.63
The geometric summation formula is:
\(P(\frac{c^N-1}{c-1})^{}\)Where P is the initial value, c is the growth of worth by period and N is the times of periods. In this case, the period is in years. 2041-2021=20. Then N = 20
now we calculate c:
\(c=1+\frac{\text{percentage}}{100}=1+\frac{5.5}{100}=1.055\)\(P(\frac{c^N-1}{c-1})^{}=24000(\frac{1.055^{20}-1}{1.055-1})=836836.63\)