Answer:
45 degrees
Step-by-step explanation:
Since we have a right triangle, we use the appropriate trigonometric ratio
The angle marked P faces QR and that makes it the opposite side
PR faces the right angle and that makes it the hypotenuse
The trigonometric ratio that links the opposite and the hypotenuse is the sine
It is the ratio of the opposite to the hypotenuse
Thus;
sin P = √26/2 √13
Sin P = √2/2
P = arc sin √2/2
P = 45 degrees
In one hour, Frank earns the money shown below. How much does he earn in 7 weeks if he works 3 hours each week?
↓↓
$12
↑↑
ITS DUE TODAY HELP PLEASE
Answer:
$252
Step-by-step explanation:
If Frank earns $12 an hour and works 3 hours a week, he makes $36 a week. So for 7 weeks, he earns $252 because $36x7 weeks= $252 in 7 weeks
Find the common difference-3, -3, -300, -3000,
help !!
I can't understand it
1.
a.) The color of Aqueous solution turns light green from blue, due to formation of iron sulphate .
b.) The color of the Aqueous solution turns colorless from blue due to formation of zinc sulphate.
2. Bells used in temples aren't made up of wood because wood isn't sonorous and hence can't produce ringing sound, and hence metals are used in making bells.
3. phosphorous is kept in water because it is highly reactive and reacts vigorously with air if left free in atmosphere .
4.
a.) CuSO4 + Mg =》MgSO4 + Cu
this is a single displacement reaction, where Magnesium being more reactive than Copper, displaces copper from its compound (copper sulphate) to form magnesium sulphate.
b. H2SO4 + Zn =》ZnSO4 + H2
this is a single displacement reaction,
where Zinc being more reactive than
hydrogen, displaces hydrogen from its
compound (sulphuric acid) to form Zinc sulphate.
a.) The color of Aqueous solution turns
The color of Aqueous solution turnslight green from blue, due to formation
The color of Aqueous solution turnslight green from blue, due to formationof iron sulphate.
b.) The color of the Aqueous solution
The color of the Aqueous solutionturns colorless from blue due to
The color of the Aqueous solutionturns colorless from blue due toformation of zinc sulphate.
2.
Bells used in temples aren't made upof wood because wood isn't sonorousand hence can't produce ringing sound,and hence metals are used in makingbells.
3.phosphorous is kept in water becauseit is highly reactive and reacts vigorouslywith air if left free in atmosphere
4.a.) CuSO4+ Mg MgS04 +Cu
this is a single displacement reaction,where Magnesium being more reactivethan Copper, displaces copper from itscompound (copper sulphate) to formmagnesium sulphate.
b. H2S04 +Zn =) ZnS04+H2
b. H2S04 +Zn =) ZnS04+H2this is a single displacement reaction,where Zinc being more reactive thanhydrogen, displaces hydrogen from itscompound (sulphuric acid) to form Zincsulphate.
Step-by-step explanation:
I hope it helps
have a great day
#Liliflim
if the correlation between x and y is equal to -1.0, what do we know about the prediction of y by x?
if the correlation between x and y is equal to -1.0, then we know that the prediction of y by x is perfect
The correlation coefficient is a unitless number and must always lie between –1.0 and +1.0, inclusive.
The correlation coefficient, r , gives us information about the strength and direction of a linear relationship between any two variables. (r > 0 is a positive correlation, r < 0 is negative, and |r| closer to 1 means a stronger correlation.
The larger r is in absolute value, the stronger the relationship is between the two variables.
If r is the correlation between two variables x and y then -r is the correlation between y and x
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I need help with this math question it would be greatly appreciated.
Answer
equation of L₁ is y = 2x - 7
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given L₂
x + 2y = 3 ( subtract x from both sides )
2y = - x + 3 ( divide through by 2 )
y = - \(\frac{1}{2}\) x + \(\frac{3}{2}\) ← in slope- intercept form
with slope m = - \(\frac{1}{2}\)
given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{2} }\) = 2
slope of L₁ = 2 and passes through (3, - 1 ) , then
y = 2x + c ← is the partial equation of L₁
to find c substitute (3, - 1 ) into the partial equation
- 1 = 6 + c ⇒ c = - 1 - 6 = - 7
y = 2x - 7 ← equation of L₁
the table layout and relationship structure of a relational database is called its:
The table layout and relationship structure of a relational database is called its schema.
A schema in a relational database refers to the overall structure and organization of tables, their attributes (columns), and the relationships between them. It defines the blueprint for how the data is organized and stored in the database.
The schema includes information such as the table names, column names, data types, constraints, and the relationships established through keys (such as primary keys and foreign keys). It provides a logical representation of the database structure and helps ensure data integrity and consistency.
The schema serves as a guide for creating, modifying, and querying the database tables. It defines the structure that enforces rules and relationships between tables, facilitating data manipulation and retrieval.
By designing a well-defined schema, database administrators and developers can establish the foundation for efficient data storage, retrieval, and management within a relational database system.
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1000m divide by 100n written in form of 10z
The expression 1000m ÷ 100n in the form of 10z is 10m/10n, which simplifies to m/10n.
What is an expression?
In mathematics, an expression is a combination of one or more numbers, variables, and operations such as addition, subtraction, multiplication, division, exponentiation, and so on.
We can simplify the expression 1000m ÷ 100n as follows:
1000m ÷ 100n = (1000 ÷ 100) × (m ÷ n)
= 10 × (m ÷ n)
= 10m/n
To write this in the form of 10z, we need to find a value of z that makes 10z equal to 10m/n. Since 10z is equal to 10 times z, we can set 10 times z equal to 10m/n and solve for z as follows:
10z = 10m/n
Dividing both sides by 10, we get:
z = m/10n
Therefore, the expression 1000m ÷ 100n in the form of 10z is 10m/10n, which simplifies to m/10n.
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Juan invested $3,100 in an account paying an interest rate of 3.6% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 19 years?
Answer:
A=6143.54( to the nearest dollar A=6144)
Step-by-step explanation:
A=Pe^(r(t))
P=3100 r=0.036 t=19
A=3100e^0.036(19)
A=3100e^(0.684)
There will be $6070 money in the account of Juan after 19 years.
What is Compound Interest?It is the interest on a loan or deposit calculated based on both the initial principal and accumulated interest from previous periods. It is calculated as:
\(Amount=P(1+\frac{r}{n} )^{nt}\)
where,
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of periods elapsed
We have
principal, P= $3100
Rate, r = 3.6%=\(\frac{3.6}{100}\)
time, t = 19years
number of times interest compounded per year, n=1
Formula Used:
\(Amount=P(1+\frac{r}{n} )^{nt}\)
Substitute the values in the above formula
\(Amount=3100(1+\frac{3.6}{100} )^{19}\)
\(Amount=\)$6070
Hence, there will be $6070 in account after 19 years.
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multiply the number of mittens lost by 3 kittens by the voting age in the u.s. what is the answer?
We can explain the process of multiplying the number of mittens lost by 3 kittens and then multiplying the result by the voting age in the U.S.
To calculate the answer, we first need to know the number of mittens lost. Let's assume it is represented by "M." Next, we multiply M by 3 kittens, which results in 3M. Finally, we need the voting age in the U.S., denoted by "V." By multiplying 3M by V, we obtain the answer, which is 3M * V.
Without specific values for M (number of mittens lost), the number of kittens, and V (voting age in the U.S.), we cannot provide a numerical answer. However, the multiplication process is outlined above. To find the actual answer, you would need to substitute the appropriate values into the equation 3M * V.
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A ship leaves port at 10 miles per hour, with a heading of N 35° W. There is a warning buoy located 5 miles directly north of the port. What is the bearing of the warning buoy as seen from the ship after 7.5 hours?
The value of the angle subtended by the distance of the buoy from the
port is given by sine and cosine rule.
The bearing of the buoy from the is approximately 307.35°Reasons:
Location from which the ship sails = Port
The speed of the ship = 10 mph
Direction of the ship = N35°W
Location of the warning buoy = 5 miles north of the port
Required: The bearing of the warning buoy from the ship after 7.5 hours.
Solution:
The distance travelled by the ship = 7.5 hours × 10 mph = 75 miles
By cosine rule, we have;
a² = b² + c² - 2·b·c·cos(A)
Where;
a = The distance between the ship and the buoy
b = The distance between the ship and the port = 75 miles
c = The distance between the buoy and the port = 5 miles
Angle ∠A = The angle between the ship and the buoy = The bearing of the ship = 35°
Which gives;
a = √(75² + 5² - 2 × 75 × 5 × cos(35°))
By sine rule, we have;
\(\displaystyle \frac{a}{sin(A)} = \mathbf{ \frac{b}{sin(B)}}\)
Therefore;
\(\displaystyle sin(B)= \frac{b \cdot sin(A)}{a}\)
Which gives;
\(\displaystyle sin(B) = \mathbf{\frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }}\)
\(\displaystyle B = arcsin\left( \frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }\right) \approx 37.32^{\circ}\)
Similarly, we can get;
\(\displaystyle B = arcsin\left( \frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }\right) \approx \mathbf{ 142.68^{\circ}}\)
The angle subtended by the distance of the buoy from the port, C is therefore;
C ≈ 180° - 142.68° - 35° ≈ 2.32°
By alternate interior angles, we have;
The bearing of the warning buoy as seen from the ship is therefore;
Bearing of buoy ≈ 270° + 35° + 2.32° ≈ 307.35°
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\(\frac{tan(\frac{-2π}{3}} {sin\frac{7π}{4}} -sec (-π)\\\)What is the exact value of the trigonometric expression? State your answer in simplified radical form
The exact value of the trigonometric expression \(\frac{tan-(2\pi/3) }{sin(7\pi /4)} - sec(-\pi )\) in the simplified radical form is √6 + 1.
\(\frac{tan-(2\pi/3) }{sin(7\pi /4)} - sec(-\pi )\)
We have the angle,
-2π/3 = -120° = (360 - 120)° = 240° = 60°
Put the value of -2π/3 in tan -2π/3, we get
tan -2π/3 = tan (60) = √3
7π/4 × 180/π = 7 × (180/4) = 7 × 45 = 315° = 45°
Put the value of 7π/4 in sin 7π/4, and we get
sin 7π/4 = sin (45°) = √2/2
sec (-π) = sec (π) = -1
Now, substitute all the values in the given equation,
= {√3/(√2/2)} - (-1)
= (2√3/√2) + 1
= (2√3 × √2/√2 × √2) +1
= (2√6/2) + 1
= √6 + 1
--The given question is incorrect, the correct question is
''What is the exact value of the trigonometric expression? \(\frac{tan-(2\pi/3) }{sin(7\pi /4)} - sec(-\pi )\) State your answer in simplified radical form."--
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Triangle ABC is congruent to triangle EFG
Answer:
C 82 degrees
Step-by-step explanation:
Since triangle, ABC is congruent to EFG which means that the measurement for A is the same measurement for C.
As an estimation we are told 5 miles is 8 km.
Convert 55 miles to km
Answer:
88 km.
Step-by-step explanation:
If 5 miles is 8 km,
55 miles is 88 km.
What you need to do is 55/5 = 11.
Then multiply that 11 to 8.
11 * 8 = 88.
Basically, if you are multiplying 5 by 11 to get 55, you need to multiply 8 by 11 to get 88.
Simplify Each Radical Expression. Leave in radical form. (Do not use decimals.)
3√(8) – 3√(16)
\(3\sqrt 8 - 3\sqrt{16}\\\\=3\sqrt{4 \times 2} -3 \sqrt{4^2}\\\\=3\cdot 2 \sqrt 2 - 3\cdot 4\\\\=6\sqrt 2 - 12\\\\=6\left(\sqrt 2-2 \right)\)
what is x and y equal to if x divided by y = 6
Answer:
x=12 a and y=2
Step-by-step explanation:
Which number satisfies the inequality? 3/11 < x <sqrt 0.25
A. 30%
B. 7/9
If Colorado Springs, Colorado, has 1.2 times as many days of sunshine as Boston, Massachusetts, how many days of sunshine does each city have if there are a total of 482 days of sunshine between the two in a year?
Colorado and Boston have 263 and 219 days of sunshine respectively.
What is the solution to the Equation?Let the number of days of sunshine in Colorado is x and the number of days of sunshine in Boston is y.
Total number of days of sunshine=482
Also, the number of days of sunshine in Colorado is 1.2 times the number of days of sunshine in Boston.
So, the equation is formed as follows:
x+y=482 -(1)
The other equation is formed as:
x=1.2y -(2)
Substitute the value x from equation (2) in (1),
1.2y+y=482
2.2y=482
y=482/2.2
y=219
Substitute the value of y in equation (1),
x+219=482
x=482-219
x=263
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Which of the following is true?
100 x 1,000 = 107
10 x 1,000 = 105
0.01 x 103 = 100
0.001 x 105 = 100
Answer:
the second one
Step-by-step explanation:
hope helpful
The true expression is,
⇒ 0.001 x 10⁵ = 100
Here,
We have to find the true expression.
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
Now,
Since, In first expression;
100 x 1000 = 10⁵
Which is not equal to 10⁷.
Hence, The first expression is not true.
In the second expression;
10 x 1000 = 10⁴
Which is not equal to 10⁵.
Hence, The second expression is not true.
In the third expression;
0.01 x 10³ = 10
Which is not equal to 100.
Hence, The third expression is not true.
In the Fourth expression;
0.001 x 10⁵ = 100
Hence, The fourth expression is true.
Therefore, The true expression is,
⇒ 0.001 x 10⁵ = 100
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What is the area of the semicircle
Answer:
Apply the formula πr^2/2
Answer:
56.52
Step-by-step explanation:
The forst thing to do is find the area of the entire circle.
\( {r}^{2} \times 3.14\)
So add the radius to the equation.
\( {6}^{2} \times 3.14\)
Solve for the equation.
\(36 \times 3.14 \\ 113.04\)
Now that is the area of the entire circle, so all is needed is to divide that by 2.
\(113.04 \div 2 \\ 56.52\)
Now you have the area of the semicircle.
Does anybody understand this question? Thank you
2(5x7)+2(4x7)+2(4x5)
Answer: The answer is 166
Step-by-step explanation:
i used a calculator on my phone!!!!! Hope this helps!!!!
Answer: 166
Step-by-step explanation:
Complete the paranthesis first
2(35)+2(28)+2(20)=
Multiply
70+56+40=
Add
=166
What is the circumference of the circle shown below?
Answer:
A. 25.12 meters
..........
Find an equation for the surface obtained by rotating the line x = 4y about the x-axis.
The equation: \(\frac{x^{2}}{6^{2}}={y^{2}+z^{2}\), represents a circle with radius r = y = x/6, and the surface that results is a cone, as obtained with the help of surface of revolution.
What is surface of revolution?A surface created by rotating a two-dimensional curve about an axis is known as a surface of revolution. As a result, the final surface is always symmetric along the azimuth.Now,
If we consider the point (6y, y, 0) in the xy plane, it appears to be a circular path that is a cone when the curve is rotated about the x axis. The cone's equation takes the following form:
\(\frac{x^{2}}{c^{2}}=\frac{y^{2}}{a^{2}}+\frac{z^{2}}{b^{2}}\)
Given that x = 6y, we square x = 6y to give the equation the form shown above, which results in:
x² = (6y)²
x² = 36y²
Circular paths go parallel to the y-axis, hence the equation should be circular in nature. 36z² needs to be added, so:
x² = 36y² + 36z²
=> \(\frac{x^{2}}{6^{2}}={y^{2}+z^{2}\)
Hence, This equation represents a circle with radius r = y = x/6, and the surface that results is a cone, as obtained with the help of surface of revolution.
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Which expression represents the total perimeter of her sandwich, and if x = 1.2, what is the approximate length of the crust? 8x2 34; 43.6 centimeters 8x2 34; 45.52 centimeters 4x2 17; 21.8 centimeters 4x2 17; 22.76 centimeters
The correct answer is option 3. \(4x^2 + 17\) expressions represent the total perimeter of her sandwich, and if x = 1.2, the approximate length of the crust is 21.8 centimeters.
The first expression, \(4x^2 + 17\) , represents the total perimeter of the sandwich. When x = 1.2, the expression evaluates to\(4 * 1.2^2 + 17 = 21.8\).
So the total perimeter of the sandwich is 21.8 cm. However, this length is not the length of the crust, since the length of the crust would only be a portion of the total perimeter.
The expression \(4x^2 + 17\) represents a mathematical formula for the total perimeter of the sandwich. The variable x represents the thickness of each slice of bread. The expression \(4x^2\) represents the total length of the four edges of the bread slices, and the 17 represents the total length of the filling. When x = 1.2, the expression evaluates to 21.8, which represents the total perimeter of the sandwich.
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Three hermit crabs at a pet store cost $ 21. 75. If each hermit crab, h , costs the same amount, which equation can be used to find the cost per hermit crab correctly?
This equation divides the total cost of $21.75 by the number of hermit crabs, which is 3, to give us the cost per hermit crab, which is $7.25.
To find the cost per hermit crab, we can divide the total cost by the number of hermit crabs.
Let's assume the cost per hermit crab is represented by the variable 'h'.
We know that the total cost of the three hermit crabs is $21.75.
To find the cost per hermit crab, we divide the total cost by the number of hermit crabs:
h = $21.75 / 3
h = $7.25
Therefore, the equation that can be used to find the cost per hermit crab correctly is h = $7.25.
This equation divides the total cost of $21.75 by the number of hermit crabs, which is 3, to give us the cost per hermit crab, which is $7.25.
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Given x = 1, y = 1, w = 1, and z = 1 and this expression: what is the evaluation of the logical expression?
The evaluation of the expression is 2, if the expression is x - y + z(x + w).
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
Given that x = 1, y = 1, w = 1, and z = 1
We have been given expression
⇒ x - y + z(x + w)
Substitute the values of x = 1, y = 1, w = 1, and z = 1 in the above expression,
⇒ 1 - 1 + 1(1 + 1)
⇒ 0 + 1(2)
⇒ 2
Hence, the evaluation of the expression is 2.
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Your question is incomplete, probably the missing part is:
Given x = 1, y = 1, w = 1, and z = 1 and this expression x - y + z(x + w): what is the evaluation of the logical expression?
Please I really need help, ASAP
Step-by-step explanation:
the volume of a pyramid is
base area × inner height / 3
we have the base area : 7×7 = 49 in²
so, we need to get the inner height h.
fit this we need to get the outer height l.
the surface area is
base area (49 in²) + 4×side triangle area = 185 in².
one of these 4 side triangle area is
baseline (7 in) × l / 2
so, we have a surface area
49 + 4×7×l/2 = 185
49 + 2×7×l = 185
49 + 14×l = 185
14×l = 136
l = 136/14 = 68/7 = 9.714285714... in
h we get now via Pythagoras
c² = a² + b²
with c being the Hypotenuse (side opposite of the 90° angle), a and b being the legs.
l² = h² + 3.5²
94.36734694... = h² + 12.25
h² = 94.36734694... - 12.25 = 82.11734694...
h = 9.061862222... in
so, the volume of the pyramid is
49 × 9.061862222... / 3 = 148.0104163... in³ ≈
≈ 148.01 in³
find the perimeter of a rectangular frame with sides of 4x - 1 and 6x +5
Answer:
p = 20x
hope it's helpful ❤❤❤❤❤
THANK YOU.
Answer: 20x+8
Step-by-step explanation
Got it correct!
An airplane moves velocity of (200 km/Hr) for (45 min) then changes its velocity to (240 km/Hr) for (35 min) calculate the average velocity of the airplane during its journey
The average velocity of an airplane during its journey when it moves at a velocity of 200 km/hour for 45 minutes and changes its velocity to 240 km/hour for 35 minutes can be calculated as follows:The first step is to convert the time from minutes to hours.
We can do this by dividing the number of minutes by 60 (since there are 60 minutes in an hour).So, time taken to move at a velocity of 200 km/hr for 45 minutes = 45/60 = 0.75 hoursTime taken to move at a velocity of 240 km/hr for 35 minutes = 35/60 = 0.583 hoursNow we can find the total distance traveled by the airplane. We can do this by multiplying the velocity of the airplane with the time it traveled at that velocity.Distance traveled at 200 km/hr = 200 x 0.75 = 150 kmDistance traveled at 240 km/hr = 240 x 0.583 = 139.92 kmTotal distance traveled by the airplane = 150 + 139.92 = 289.92 km.
The average velocity of the airplane during its journey can now be found by dividing the total distance traveled by the total time taken to travel that distance. Total time taken = 0.75 + 0.583 = 1.333 hours Average velocity of the airplane = Total distance traveled.
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what is the median of these numbers 17 12 54 36 71 28 31 55
Answer:
The median is 33.5
Step-by-step explanation:
In order to solve for a median it would either be the middle or it would be the average of the middle if there are even amount of numbers. First you would put them in order. 12 17 28 31 36 54 55 and 71. This would mean the the middle number would be 31 and 36. Since you can't have two medians you would find the average of the two so add 31 and 36 which would be equal to 67 then divide by 2 which would equal to 33.5.
The median of numbers 17, 12, 54, 36, 71, 28, 31, 55 is 33.5.
What is the median of a set of numbers?The median of a set of numbers is the middle value when the numbers are arranged in ascending or descending order.
If there are an even number of numbers, the median is the average of the two middle values. If there is an odd number of numbers, the median is the middle number.
To find the median of the given numbers, we first need to arrange them in ascending order:
12 17 28 31 36 54 55 71
Since there are an even number of numbers (8), the median will be the average of the two middle values, which are 31 and 36.
To find the average, we add the two numbers and divide by 2:
(31 + 36) / 2 = 67 / 2 = 33.5
Therefore, the median of the given numbers is 33.5.
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