Answer:
The perimeter is 16 yards.
_
Step-by-step explanation:
♤You can solve using the pythagorean theorem.
♡We will be using the variable 'x' to represent the variable 'b' in the picture provided.
◇In the pythagorean theorem, a and b represents bases while the c represents the hypotenuse (diagonal).
\( {a}^{2} + {b}^{2} = {c}^{2} \\ {x}^{2} + {12}^{2} = {20}^{2} \\ {x}^{2} + 144 = 400 \\ \frac{ \: \: \: \: \: - 144 = - 144}{ {x}^{2} = \sqrt{256} } \\ x = 16\)
Beginning the e-commerce development process with a mobile presence rather than a desktop website is referred to as which of the following?
1. A) RWD 2. B) AWD 3. C) mobile rst design 4. D) RESS
Beginning the e-commerce development process with a mobile presence rather than a desktop website is referred to as Mobile First Design.Mobile First Design is a strategy for designing responsive websites that prioritize mobile devices over desktop computers. This means that when designing a site, the mobile experience comes first, followed by the tablet and desktop experiences.
Mobile First Design has become a popular design strategy due to the increasing use of mobile devices to access the internet. It acknowledges the fact that mobile devices have smaller screens, slower internet connections, and limited processing power, which means that websites must be designed to work well on these devices
Mobile First Design includes a variety of design strategies to optimize sites for mobile devices, including responsive design, adaptive design, and progressive enhancement. Responsive design involves using flexible grids, images, and media queries to create a website that responds to the screen size of the device it's viewed on.Adaptive design uses a combination of flexible and fixed elements to create a website that adapts to different screen sizes.
Progressive enhancement involves designing a website with basic functionality that works well on any device, and then adding additional features for more capable devices as they become available.
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Which expression means the same as 25 less than 5y
Answer: 5<y
Step-by-step explanation:25<5y divide both sides by 5 and you get the answer.
Point A has coordinates (−4,1), and point 8 has coordinates (0,13). What is the siope of a line segment connecting the two?
Answer:
3
Step-by-step explanation:
Slope m = (y2 - y1)/(x2 - x1)
m = (13 - 1)/(0 - -4) = 12/4 = 3
123 degrees
3x degrees
Answer:
Step-by-step explanationthe answer is 19 because your trying to find 180 and your timing that 3 by what ever gets you the extra of 180 so you do 19 ×3 equaling 57 and then you add in that 123 and it all equals 180
The value of x is 19°.
What are linear pairs?A linear pair of angles are formed when two lines intersect each other at a single point.
Given a pair of angles which are on a straight line and so, making a linear pair,
123°+3x=180°
3x = 57°
x = 19°
Hence, x = 19°
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The submarine is at an elevation of feet. The explorers spot a humpback whale and dive downward an additional feet. The new elevation of the submarine is?
The new elevation of the submarine is -427 6/7 feet.
What is Elevation?
Elevation is distance above sea level.
Given that;
The submarine is at an elevation of = -355 2/7 feet.
And, Dive downward an additional feet = 92 4/7 feet.
Now, The submarine is at an elevation of feet = -355 2/7 feet.
Hence, First location of submarine= -335 2/7 feet
And, Dive downward for whale = -92 4/7 feet
So, The new elevation of the submarine = -355 2/7 + (-92 4/7)
= -355 2/7 - 92 4/7
= -2347/7 - 648/7
= -2995/7
= - 427 6/7
Therefore, The new elevation of the submarine is -427 6/7 feet.
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The complete question is this;
The submarine is at an elevation of -355 2/7 feet. The explorers spot a humpback whale and dive downward an additional 92 4/7 feet. The new elevation of the submarine is?
20 points Mathematics find the corresponding congruent angle
The corresponding congruent angles are ∠DKH and ∠ENH. The correct option is B.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Corresponding angles are angles that are equal in size and occur on the same side of the transversal line. They're either both obtuse or acute.
Here the two corresponding angles are ∠DKH and ∠ENH joining the two lines JD and IE.
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a basketball player makes 80% of her free throws. what is the standard deviation of the successes from 100 free throws?
Since 80 out of 100 free throws were successful, the standard deviation of the success rate would be 8, and the standard deviation of a binomial distribution is the square root of (p*q)/n, where p is the probability of success, q is the probability of failure (1-p), and n is the total number of trials.
Standard deviation is calculated as follows:
p*q/n = 0.8*0.2/100 = 0.0016 = 0.04 = 8
Since 80% of 100 equals 80 successful free throws, the standard deviation of the successes from 100 free throws would be 8. The dispersion in a set of data is measured by standard deviation. A binomial distribution's standard deviation is equal to the square root of (p*q)/n, where p is the success probability, q is the failure probability (1-p), and n is the number of trials. Since the success rate in this instance is 80%, p = 0.8, q = 0.2, and n = 100. The standard deviation is then equal to the square root of (p*q/n): (0.8*0.2/100) = (0.0016) = (0.04), which equals 8. Therefore, the standard deviation of the successes from 100 free throws for a basketball player who makes 80% of them would be 8.
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Which product of prime polynomials is equivalent to 30x3 – 5x2 – 60x? a. 5(2x2 – 3)(3x 4) b. x(10x 3)(3x – 4) c. 5x(2x – 3)(3x 4) d. 5x(2x 3)(3x – 4)
The product of prime polynomials which is equivalent to 30x3 – 5x2 – 60x is option C) 5x(2x – 3)(3x + 4).
We have 30x³ - 5x² - 60x
We take common value out so
5x(6x² - x - 12)
By following the factorization method we get,
6x² - x - 12
b²-4ac = -1² - 4x6x(-12)
= 289
x = -b ± √289/2a
= 1 ± 17/-2
x = 3/2 or x = -4/3
So,
6x² - x - 12
6(x-3/2)(x-(-4/3))
(2x-3) (3x+4)
Therefore,
30x³ - 5x² - 60x = 5x(6x² - x - 12)
= 5x (2x-3) (3x+4)
The product of prime polynomials is equivalent to 30x3 – 5x2 – 60x is 5x(2x – 3)(3x + 4).
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If sin theta <0 and tan theta >0 then:
Answer:
Step-by-step explanation:
If the sine is negative then theta must be in Quadrant III or Quadrant IV.
If the tangent is positive then theta must be in Quadrant I or III.
If both conditions must be satisfied, then we conclude that thera is in Quadrant III.
Note that \(\tan\theta=\frac{\sin\theta}{\cos\theta}.\) Thus, if \(\sin\theta<0\) and \(\tan\theta>0,\) then we must have \(\cos\theta<0\) as well. The sine function is negative when \(\theta\) lies in Quadrant III or IV, and the cosine function is negative when \(\theta\) lies in Quadrant II or III. Thus, the two are both negative when \(\theta\) lies in Quadrant III, or \(\pi+2\pi n<\theta<\frac{3\pi}{2}+2\pi n\) for integer values of \(n.\)
HELPPPP PLEASSEEEEE Literal Equations and Formulas
Answer:
Im pretty sure A
Step-by-step explanation:
multiply both sides by 3/4 (reciprocal)
3/4X=pie(r)cubed
divide by pi on both sides
3/4X
-------- = r(cubed)
pi
cube root both sides
Simplify the expression. (n^7)^2
Answer:
n^14
Step-by-step explanation:
Simplify. Note that when you have a power on top of a power, you multiply the two powers.
(n^7)^2 = n^(7 * 2) = n^14
n^14 is your answer.
~
Use power rule: (a^b)^c = a^b*c
Solve.
= (n^7)^2
= n^7*2
= n^14
Best of Luck!
A party will have pentagonal tables placed together. The number of people, P, who can sit at the tables is a function of the number of tables, n.
A. Explain why the equation
P=3n+2 defines this function.
B. How many tables are needed if 47 people come to the party?
C. How many tables are needed if 99 people come to the party?
D. Write the inverse of this function and explain what the inverse function tells us?
a) The number of tables increases, the number of people who can sit at the tables will increase as well, and this relationship is captured by the function.
b) 15 tables are needed for 47 people to sit at pentagonal tables placed together.
c) 33 tables are needed for 99 people to sit at pentagonal tables placed together.
d) 6 tables are needed to seat 20 people at pentagonal tables placed together.
A. The equation P=3n+2 defines this function because it tells us that the number of people who can sit at the tables is equal to three times the number of tables plus two.
B. To determine how many tables are needed if 47 people come to the party, we need to use the function P=3n+2 and solve for n. We substitute 47 for P and get:
47 = 3n + 2
45 = 3n
n = 15
C. Similarly, to determine how many tables are needed if 99 people come to the party, we substitute 99 for P and get:
99 = 3n + 2
97 = 3n
n = 32.33 ≈ 33
D. To find the inverse of the function P=3n+2, we need to solve for n in terms of P. This gives us:
P = 3n + 2
P - 2 = 3n
n = (P - 2)/3
The inverse function, denoted by f⁻¹, is then:
f⁻¹(P) = (P - 2)/3
The inverse function tells us the number of tables needed to seat a certain number of people. For example, if we want to seat 20 people, we can use the inverse function to determine how many tables are needed:
f⁻¹(20) = (20 - 2)/3
f⁻¹(20) = 6
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in this problem we consider an equation in differential form mdx ndy=0. (4x 5y)dx (5x 5y)dy=0 find
My=
Nx=
If the problem is exact find a function F(x,y) whose differential, dF(x,y) is the left hand side of the differential equation. That is, level curves F(x,y)=C, give implicit general solutions to the differential equation.
If the equation is not exact, enter NE otherwise find F(x,y) (note you are not asked to enter CC)
F(x,y)=
The level curves of F(x,y) = C give the implicit general solutions to the differential equation.To find My and Nx, we need to rearrange the differential equation in the form of Mdx + Ndy = 0, where M and N are functions of x and y.
Starting with the given differential equation:
mdx + ndy = 0
We can plug in the values of m and n from the equation given:
(4x + 5y)dx + (5x + 5y)dy = 0
Now we can identify M and N:
M = 4x + 5y
N = 5x + 5y
Therefore:
My = dN/dy = 5
Nx = dM/dx = 4
Since My is not equal to Nx, the equation is not exact. To find the function F(x,y), we can use an integrating factor.
First, we find the integrating factor, u:
u(x) = e^(∫(My - Nx)/Nx dy) = e^(∫(5-4)/4 dy) = e^(y/4)
Multiplying both sides of the differential equation by u(x):
e^(y/4)(4x + 5y)dx + e^(y/4)(5x + 5y)dy = 0
We can rewrite this as:
d(e^(y/4)(4x + 5y)) = 0
Integrating both sides with respect to x:
e^(y/4)(4x + 5y) = F(y)
Therefore:
F(x,y) = e^(y/4)(4x + 5y)
Therefore, The level curves of F(x,y) = C give the implicit general solutions to the differential equation.
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The sides of a △ are 12, 16, and 22. Find the longest side of a similar △ with perimeter 40.
To find the longest side of a similar triangle with a perimeter of 40, we need to determine the scale factor between the two triangles.
The perimeter of the original triangle is given by the sum of its three sides:
Perimeter of original triangle = 12 + 16 + 22 = 50.
Now, we can calculate the scale factor as the ratio of the perimeters:
Scale factor = (Perimeter of new triangle) / (Perimeter of original triangle) = 40 / 50 = 0.8.
To find the longest side of the similar triangle, we multiply the longest side of the original triangle by the scale factor:
Longest side of new triangle = 22 * 0.8 = 17.6.
Therefore, the longest side of the similar triangle with a perimeter of 40 is 17.6 units.
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The "Pick 3" at horse racetracks requires that a person select the winning horse for three consecutive races. If the first race has eleven entries, the second race nine entries, and the third race seven entries, how many different possible tickets might be purchased?
Answer:
693
Step-by-step explanation:
To find the number of possible tickets that would be purchased we simply multiply the total number of choices that each race provides together. This would tell us how many combinations exist which in term is the same as the different possible tickets that can be purchased. Since the choices for the first race are 11, the second race 9, and the third race 7, we multiply these numbers together...
11 * 9 * 7 = 693 possible tickets
find the lengths of the three sides
Answer:
u can add or mutiply all them together
The digit 6 in which number represents a value of 6?
Choose 1 answer:
1)906
2)644
3)565
Answer:
1) 906
Step-by-step explanation:
It's in the ones value making it represent the value of 6
Find the slope of the line that passes through each pair of points.
(5, 9), (3, 9)
Answer:
0
Step-by-step explanation:
Complete this statement with an expression in terms of m. 18m^3 + 9m^2 + 4m + 7 = (9m^2 + 7) (...........................)
Step-by-step explanation:
18m^3+ 9m^2 + 4m + 7=(9m^2 + 7)
18m^3+9m^2+4m+7=9m^2 + 7
18m^3+9m^2+4m+7-7=9m2+7-7
18m^3+9m^2+4m=9m^2
18m^3+9m^2+4m-9m^2-9m^2
18m^3+4m=0
factor 18m^3+4m:. 2m(9m^2+2)
2m (9m^2+2)=0
using the zero factor principle: if an=0 then a=0 or b=0
m=0 or 9m^2+2=0
solve 9m^2+2=0:. m= i√2 m= -i√2
__, __
3 3
The solutions are:
m=0, m= i√2 m= -i√2
__, __
3 3
please Mark me as brainliest
Add the rational expressions and type your answer in simplest form, multiplying any factors you may have in the numerator or denominator. When typing your answers, type your terms with variables in descending power and in alphabetical order without any spaces between your characters. If needed use the carrot key ^ (press shift and 6) to indicate an exponent. \frac{4}{a+1} + \frac{5}{a-3}
Given:
The expression is,
\(\frac{4}{a+1}+\frac{5}{a-3}\)Simpify the expression,
\(\begin{gathered} \frac{4}{a+1}+\frac{5}{a-3} \\ \text{Adjust fractions based on least common multiple,} \\ =\frac{4\left(a-3\right)}{\left(a+1\right)\left(a-3\right)}+\frac{5\left(a+1\right)}{\left(a+1\right)\left(a-3\right)} \\ =\frac{4(a-3)+5\mleft(a+1\mright)}{(a+1)(a-3)} \\ =\frac{4a-12+5a+5}{(a+1)(a-3)} \\ =\frac{9a-7}{(a+1)(a-3)} \end{gathered}\)Answer:
\(\begin{gathered} \text{Numerator}=\text{ 9a-7} \\ \text{Denominator}=\text{ (a+1)(a-3)} \end{gathered}\)what is 8n to the 3 power times n to the 4th power?
Answer:
\(8n^7\)
Step-by-step explanation:
Here is something to remember:
\(a^b\) × \(a^c=a^{b+c}\)
Start with:
\(8n^3\) × \(n^4\)
Multiply your bases.
\(8n\) × \(n=8n\)
Add your powers.
\(3+4=7\)
Put them together.
\(8n^3\) × \(n^4=8n^{3+4}\)
Rewrite your answer.
\(8n^7\)
i need help hurry please
Answer:
It should be 54 units
Step-by-step explanation:
I'm just typing here so brainly let's me post
find the surface area for a sphere with a radius of 10 feet. round to the nearest whole number. a. 1,256 ft2b. 4,189 ft2c. 1,089 ft2d. 1,568 ft2
The surface area of a sphere with a radius of 10 feet is approximately 1,256 ft².
The surface area of a sphere refers to the total area that covers the surface of the sphere. It is the sum of all the areas of the small flat faces that make up the sphere.
To find the surface area of a sphere with a radius of 10 feet, we need to use the formula:
Surface Area = 4πr²
Where r is the radius of the sphere.
Plugging in the value of r=10 into the formula, we get:
Surface Area = 4π(10) = 400π
Since π is an irrational number, we cannot calculate its exact value. However, we can approximate it to 3.14. Therefore,
=> Surface Area = 400 * 3.14 = 1256
Rounding to the nearest whole number, we get the surface area of the sphere with a radius of 10 feet as 1,256 ft², which is option (a).
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Identify each value of x that makes 11 + 2x < 13
Answer:
x < 1
Step-by-step explanation:
This is the answer because:
1) 11 + 2 = 13 and 13 is not less than 13, it is equal to 13. Therefore, x has to equal anything less than 1 because then only inequality statement will be true.
Therefore, the answer is x < 1.
Hope this helps! :D
The value of x that makes 11 + 2x < 13 is x < 1
Given:
11 + 2x < 13
< means less than
11 + 2x < 13
Subtract 11 from both sides11 + 2x - 11 < 13 - 11
2x < 2
divide both sides by 2x < 2/2
x < 1
x less than 1
Therefore, the value of x that makes 11 + 2x < 13 is x < 1
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Help and show work please<3
The value of the variable 'x' is 48 degrees. Then the correct option is B.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
In the figure, the side NP is parallel to the side MQ. Then the quadrilateral will be a parallelogram.
We know that the sum of the adjacent angles of the parallelogram will be 180 degrees.
x + 32 + 100 = 180
x = 180 - 132
x = 48
The value of the variable 'x' is 48 degrees. Then the correct option is B.
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Select the correct inequality to make a true statement.
6
2
?
10
> Next Question
Is 6/10 smaller or bigger than 2/4
Your equation is 6/10<X>2/4
I think it will help you.
suppose y varies directly with x. write a direct vairation equation that relates x and y. y=-10 when x=2
Answer:
y = - 5x
Step-by-step explanation:
given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
to find k use the condition y = - 10 when x = 2 , then
- 10 = 2k ( divide both sides by 2 )
- 5 = k
y = - 5x ← equation of variation
How do I multiply fractions?
Multiply the numerator by numberator and denominator by denominator.
a/b multiplied by c/d is ac / bd.
Answer:
Multiply the top numbers
Multiply the bottom numbers
Simplify if needed
Example:
4/5×6/8= 24/40=3/5
The original price of an item is $25, but after the discount, you only have to pay $18.50. What is the discount (as a percent)
The discount is 26%.
What is Discount?The discount equals the difference between the price paid for and it's par value. Discount is a kind of reduction or deduction in the cost price of a product.
Given:
\(\bold{Marked} \ \text{price} = \$25\)
\(\bold{Selling} \ \text{price} = \$18.50\)
So,
\(\text{Discount = MP - SP}\)
\(\text{Discount} = 25-18.50\)
\(\bold{Discount} = 6.50\)
Now,
\(\text{D}\% = \dfrac{\text{D}}{\text{MP}} \times100\)
\(\text{D}\% = \dfrac{6.5}{25} \times100\)
\(\text{D}\% = 26\%\)
Hence, the discount percent is 26%.
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Work out the surface area of this cylinder radius 2cm and height 4cm pls help
Step-by-step explanation:
surface area of cylinder is
2×pi×r (h+r)
2×22/7×2 (4+2)
88/7 (4+2)
75.4 cm square