Answers
Answer:
21.1
Step-by-step explanation:
sin 49 = x / 28
0.75470958 = x/28
x = 21.1
Answer:
x=18.4
y=35
Step-by-step explanation:
So to solve for x, you're going to use one of the six trigonometric functions (you really only need to use the three main ones, sin, cos, and tan, to solve these problems). In this case you know the adjacent of the angle 49 degrees, and the hypotenuse. There is a trigonometric function which is defined as: \(\frac{adjacent}{hypotenuse}=cos(\theta)\). So let's plug in the known values:
\(cos(49) = \frac{x}{28}\)
Multiply both sides by 28
\(cos(49) * 28 = x\\\)
Calculate cos(49) using a calculator (make sure it's in degree mode):
\(0.656 * 28 \approx x\)
\(18.4 \approx x\)
So the second problem, you need to use the inverse of one of the trigonometric function, which essentially takes what f(x) is, and returns x. So in this case we're looking for a trigonometric function that is defined using the opposite and adjacent side, which tan is. \(tan(\theta)=\frac{opposite}{adajcent}\). In this case opposite=19, and adjacent=27. So plug in the known values:
\(tan(y)=\frac{19}{27}\)
Apply the inverse of tan to both sides
\(y=tan^{-1}(\frac{19}{27})\)
Calculate inverse of tan of 19/27 using a calculator:
\(y\approx35\)
Related Questions
At a school number of boys :number of girls11:9 there are 124more boys than girls.work out the total number of students at the school
Answers
How many 1/10's are in 3?
Answers
There are 30 of 1/10's in the number 3
How many 1/10's are in 3?From the question, we have the following parameters that can be used in our computation:
How many 1/10's are in 3?
The above statement is a quotient expression that has the following features
Dividend = 3
Divisor = 1/10
So, we have
Quotient = Dividend /Divisor
Substitute the known values in the above equation, so, we have the following representation
Quotient = 3/(1/10)
Evaluate
Quotient = 30
Hence, there are 30 1/10's
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Please help me I am confused
Answers
3. The value of x is 2√15
4.the triangle is obtuse
5.the triangle is obtuse
6.the triangle is acute
About triangleA triangle with side lengths a, b and c with c>= a and c>=b would only exist if the longest side c was lower than or equal to the sum of the two shorter sides, that is:
c≤ a+b
It is also true that if:
c² < a²+b², the triangle is acute c² = a² + b², the triangle is a right triangle c²>a²+ b², the triangle is obtuse3) To find x, we use Pythagorean theorem at:
x²=16² - 14²
x²= 256 - 196
x= √60
x= 2√15
4) There are 3 sides of triangle.
We prove:
(15.6)² =243.36
(5.8) ²+(9.3) ²=86.49+33.64=120.13
243.36=86.49+33.64
because c²>a²+ b², the triangle is obtuse.
5) There are 3 sides of triangle.
We prove:
16²= 256
7²+12²= 49+144=193
because c²>a²+ b², the triangle is obtuse.
6. There are 3 sides of triangle.
We prove:
(5.2) ²=27.04
(3.8) ²+(4.1) ²=14.44+16.81=31.35
because c² < a²+b², the triangle is acute.
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the given set is a basis for a subspace w. use the gram-schmidt process to produce an orthogonal basis for w.
Answers
y₁ = [1 -4 0 1] and y₂ = [5 1 -6 -1] is the orthogonal basis for w using Gram-Schmidt process.
Given,
The set;
x₁ = [1 -4 0 1]
x₂ = [7 -7 -6 1]
We have to produce the orthogonal basis for w using the Gram-Schmidt process;
Here,
y₁ = x₁ = [1 -4 0 1]
Now,
Solve for y₂
y₂ = x₂ - [x₂y₁ / y₁y₁] y₁
That is,
y₂ = [7 -7 -6 1] - ( [7 -7 -6 1] [1 -4 0 1] / [1 -4 0 1] [1 -4 0 1] ) × [1 -4 0 1]
y₂ = [7 -7 -6 1] - (7 + 28 - 0 + 1) / (1 + 16 + 0 + 1) × [1 -4 0 1]
y₂ = [7 -7 -6 1] - 36/18 × [1 -4 0 1]
y₂ = [7 -7 -6 1] - 2 × [1 -4 0 1]
y₂ = [7 -7 -6 1] - [2 8 0 2]
y₂ = [5 1 -6 -1]
That is,
The orthogonal basis for w using Gram-Schmidt process is,
y₁ = [1 -4 0 1] and y₂ = [5 1 -6 -1]
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what is the circumference of the circle shown below?
Answers
\( \bold{CIRCUMFERENCE \: OF \: THE \: CIRCLE}\)
The circumference of a circle is the distance around the outer edge of a circle. With other shapes, we can find the perimeter of the circle. The perimeter is the distance around a polygon. Circles are not polygons because they are not made of line segments.----------------------------------------------------------------------------------------------
\( \bold{P=2 \times \pi \times r}\)
\( \bold{P=2×3.14×19.50}\)
\( \bold{P=6.28 \times 19.50}\)
\( \bold{P=122.46}\)
----------------------------------------------------------------------------------------------
\( \boxed{ \boxed{ \boxed{ \bold{c. \red{122.4 \: cm}}}}}\)
⭐----------------------------------------------------------------------------------------------⭐
\( \bold{BRAINLYMENTALMENTE}\)
On a map of a town, 3 cm represents 150 m.
Two points in the town are 1 km apart.
How far apart are the two points on the map?
Answers
Answer:
20cm
Step-by-step explanation:
We know that on the map, 3 cm represents 150 m.
To find how far apart two points are on the map when they are 1 km (1000 m) apart in reality, we can set up a proportion using the given scale:
(3 cm) / (150 m) = (x cm) / (1000 m)
We can cross-multiply and solve for x:
3 cm * 1000 m = 150 m * x cm
3000 cm * m = 150 m * x cm
The unit "m" cancels out, leaving us with:
3000 cm = 150 * x cm
Divide both sides by 150 cm:
3000 cm / 150 cm = x
20 = x
Therefore, the two points are 20 cm apart on the map.
Kavitha thought of constructing 2 more rooms in her house. She enquired about the labor. She
came to know that 6 men and 8 women could finish this work in 14 days. But she wish to complete that work in only 10 days. When she enquired, she was told that 8 men and 12 women could
finish the work in 10 days. Find out that how much time would be taken to finish the work if one
man or one woman worked alone ?
Answers
From the given information, we can write equations as follows:
1) 6X + 8Y = (1/14) (To complete the work in 14 days, 6 men and 8 women are required)
2) 8X + 12Y = (1/10) (To complete the work in 10 days, 8 men and 12 women are required)
Solving the above equations, we get:
X=16 and Y=21
Therefore, one man can complete the work in 16 days and one woman can complete the work in 21 days.
To find out how much time would be taken to finish the work if only one man or one woman worked alone, we can use the formula:
Total work = (number of workers) x (time taken to finish the work)
Let's calculate the time taken by one man alone:
Total work = 1 (because one man is working alone)
Time taken = (total work) / (work done by one man in one day)
Time taken = 1 / 16 = 0.0625 days (or approximately 1.5 hours)
Similarly, let's calculate the time taken by one woman alone:
Total work = 1 (because one woman is working alone)
Time taken = (total work) / (work done by one woman in one day)
Time taken = 1 / 21 = 0.0476 days (or approximately 1.1 hours)
Thus, it would take approximately 1.5 hours for one man to complete the work alone, and approximately 1.1 hours for one woman to complete the work alone.
Determine which expressions represent real numbers and which expressions represent complex numbers.
0 + 91
7 - 51
V-6
-12
- 2 + 19 (5)
2 - 72
16
Real Numbers
Complex Numbers
Answers
There seems to be a mistake in typing. You probably type the letter "i" as "1", so it is difficult to tell which numbers are complex numbers.
I will however explain what complex numbers look like, which will help you in determining which numbers are complex numbers, and the rest are real numbers.
Step-by-step explanation:
Complex numbers are numbers that include the square root of a negative number.
It is not possible to have a value for an expression with a square root of a negative number, then the letter j or i were introduced to help represent these kinds numbers.
√-1 = i or j (anyone is fine)
Knowing the square root of -1 is i, we can write the square root of any negative number with ease.
√(-6) = √(-1) × √6, right?
= i × √6
= i√6
And so on.
So, basically, the numbers that include the letter 'i', or √(-1) in them are the complex numbers. The rest are real numbers.
12x 12 please I need help
Answers
Answer:
12 × 12 =144
Step-by-step explanation:
144 :)
how do you graph 24x−6y=18
Answers
Answer:
You will graph a function with the equation being y = 4x - 3, to plot this function read step by step explanation.
Step-by-step explanation:
First we have to find the equation of the line so we do....
24x - 6y = 18
24x = 18 + 6y
6y = 24x - 18
y = 4x - 3
Now that we know the equation we just have to find two point by using this equation and connect them between each other in order to graph the function represented by this equation. For example
For x = 0
y = 4x - 3
y = -3
So we know that there is a point (0, - 3)
For x = 1
y = 4x - 3
y = 4 - 3
y = 1
So we know that there is a a point (1, 1)
Connect the two point and you will get the function graph
A 10 litre container has 830ml of water in it what percentage is water
Answers
Answer:
8.3%
Step-by-step explanation:
10 Liters is 10,000ml
(830/10,000)*100=8.3
How does self-reflection affect how you learn? Does it make you pay attention to the way you learn? Does it help you focus on overall concepts? Does it give you information about what you need to study? Explain your answer.
Answers
Answer:Self-reflection can help you recognise the progress you made in a lesson, whilst simultaneously allowing you to consider improvements that you could make. We learn by experiences and mistakes. ... Self-reflection enables you to move from just experiencing, into understanding
Step-by-step explanation:bECAUSE IM SMARTTTT
Which statement about 3 multiplied by 23 must be true?
A
The product is less than 23 .
B
The product is between 23 and 3.
C
The product is greater than 4.
D
The product is between 3 and 4
Answers
Answer:
(C) because the answer is 69
Step-by-step explanation:
you make 3 groups of 23 and u get 69
its greater then 23 and 4
and its not between 3 and 4 or between 23 or 3
so it can only be (C)
1. 1. Under a dilation
of scale factor 2 with the center at the origin, if S (6, 7), what will
be the coordinates of the point S'?
2. What is the scale factor of the group dilation (with center at the origin) if point E (5,3)
becomes E' (15,9)?
3. Under a dilation of scale factor 5 with the center at the origin, if M (3,6), what will be
the coordinates of the point M'?
4. What is the scale factor of the dilation (with center at the origin) if point H (4,6)
becomes H' (24, 36)?
5. Under a dilation of scale factor 4 with the center at the origin, if J (2, 3), what will be
the coordinates of the point J'?
6. What is the scale factor of the dilation (with center at the origin) if point U (5,7)
becomes U' (25, 35)?
7. Under a dilation of scale factor 7 with the center at the origin, if K (5,6), what will be
the coordinates of the point K'?
8. What is the scale factor of the dilation (with center at the origin) if point A (4,5)
becomes A' (16, 20)?
Answers
Answer:
I know number 1
Step-by-step explanation:
Number one is ( 12,14)
the second one is 3 because i did the second one
plz help !!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
3rd option: 2 1/2 ÷ 1/6
Step-by-step explanation:
2 1/2 ÷ 1/6 = 5/2 × 6/1 = 15mph
I’m confused on what number 4 means. Can someone please help?
Answers
Answer:I think you can say like the most bought music in class B is alternative and the lowest one is classical and so on
Step-by-step explanation:
A: 15
B: 21
C: 26
D: 105
Answers
Answer:B=21
Step-by-step explanation:
it is because combined J an N are 105 across from that is the same so x is 21 because 5(x) = 21 u do 105 divided by 5 to get the answer
What is the value of x?
4
5
X-
11
10
3
10
ST
8 25
1
(i will mark brain list, also there is a picture)
Answers
Answer:
1/2
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable
Answer: x = 1/2
Step-by-step explanation too lazy to write that
please someone help me asap i will give brainliest to correct answer!
Answers
Answer:
C
Step-by-step explanation:
it's c because this is a false statement, which means that the original statement is also a false one
so it doesn't have any answer
Identify the correct values for a 4f orbital. O n = 2, 1 = 0, m = +1 O n = 1, 1 = 0, m = 0 O n = 3,1 = 1, m, = 0 O n = 2, 1 = 1, m, = -1 O n = 4,1 = 3, m = -2
Answers
The correct values for a 4f orbital are:
n = 4, ℓ = 3, m = -2
The quantum number "n" represents the principal quantum number, which determines the energy level of the electron. In this case, it is 4.
The quantum number "ℓ" represents the azimuthal quantum number, which determines the shape of the orbital. For an f orbital, the value of ℓ is 3.
The quantum number "m" represents the magnetic quantum number, which determines the orientation of the orbital in space. In this case, it is -2.
Therefore, the correct values for a 4f orbital are n = 4, ℓ = 3, and m = -2.
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The dot plot represents the scores of a group of students on an English test. If the dot plot is converted to a box plot, the first quartile would be drawn at
, and the median would be drawn at
.
Answers
The first quartile would be drawn at 3 and the median would be drawn at 4.
It is required to find the first quartile and the median.
What is statistics ?Statistics are defined as numerical data, and is the field of math that deals with the collection, tabulation and interpretation of numerical data. It is the study and manipulation of data, including ways to gather, review, analyze, and draw conclusions from data.
Given that:
Given data :
Scores of group of students Frequency
1 0
2 2
3 2
4 4
5 3
6 1
7 1
First three set of scores from 1 to 3 comes under first quartile.
Median is in the center.
Last three set of scores comes under third quartile.
Therefore, the first quartile would be drawn at 3 and the median would be drawn at 4.
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figure is missing
find the area of the given Shape
Answers
Answer: 84 ft
Step-by-step explanation:
First, split the shape into a rectangle and triangle
Then find the dimensions for the shape
Find the area for the rectangle and triangle
formula for the rectangle would be Length(8) multiplied by Width(6) L*W
The area of the rectangle would be 48
Then find the area of the triangle
Formula for triangle would be Length(6) [14-8 is how I got this number] then multiply that by width (6) finally divide you answer by 2 L*W/2, and your answer would be 36
To finally find your final answer add 36 and 48
Answer:
Step-by-step explanation:
The dotted line shows where you can find the area of two different shapes in order to find the total area. There is a rectangle and a triangle.
Rectangle:
A= lxw
l=6
w = 8
6*8=48
Triangle:
A= (lxw)/2
l=6
w= 6 (14-8=6; Subract the total length of the shape by the given length to find whats missing)
(6*6)/2=18
Add 48 and 18 to get the combined area of both shapes.
(48+18=66 sq ft)
Kendra surveyed 100 people who own a dog or a cat, or both. Of those surveyed, 15 own both a dog and a cat, and the number of people who own a dog is four times the number of people who own a cat. How many people surveyed own a cat?
Answers
Answer:
17 people surveyed own a cat.
Step-by-step explanation:
Let d stand for dog, c stand for cat, and b stand for both. In total, d + c + b = 100 people. The number of people who own a dog is four times the number of people who own a cat, so d = 4c. In the problem, it's given that 15 people own both a dog and a cat. So, b can be replaced with 15. Now, d + c + 15 = 100. This system of equations can be solved by substitution.
d = 4c
d + c + 15 = 100
4c + c + 15 = 100
5c + 15 = 100
5c = 85
c = 17
Check:
The number of dog owners is 4 * 17, or 68.
68 + 17 + 15 = 100
This pattern follows the rule multiply by 2. what other feature do you observe? 4, 8, 16, 32, 64, 128
group of answer choices
all terms are even because even x even = even.
all terms are odd because even x even = odd.
all terms are even because odd x odd = even.
all terms are even because odd x even = even.
Answers
Answer:A. All terms are even because even x even = even.
Step-by-step explanation:Hope It helps you have a good day.
consider the closed curve in the xy-plane given by x^2+2x+y^4+4y=5
a. Show that dy/dx=−(x+1)/2(y3+1),
b. Write an equation for the line tangent to the curve at the point (−2,1),
c. Find the two points on the curve with vertical line tangents.
Answers
(a) The derivative of the implicit function are y' = - (x + 1) / [2 · (y³ + 1)].
(b) The equation of the tangent line is y = (1 / 4) · x + 3 / 2.
(c) The two points on the curve with vertical line tangents are (x, y) = (- 4, - 1) and (x, y) = (2, - 1).
How to analyze and interpret the derivative of an implicit function
In this problem we find the definition of an implicit function of the form f(x, y) = C, where C is a real number. (a) First, we determine the first derivative of the implicit function:
2 · x + 2 + 4 · y³ · y' + 4 · y' = 0
2 · (x + 1) + 4 · (y³ + 1) · y' = 0
y' = - 2 · (x + 1) / [4 · (y³ + 1)]
y' = - (x + 1) / [2 · (y³ + 1)]
(b) The equation of the tangent line is described by:
y = m · x + b
Where:
m - Slopeb - Interceptx - Independent variable.y - Dependent variable.First, we determine the slope of the tangent line:
m = - (- 2 + 1) / [2 · (1³ + 1)]
m = - (- 1) / 4
m = 1 / 4
Second, the intercept is finally found:
b = y - m · x
b = 1 - (1 / 4) · (- 2)
b = 1 + 1 / 2
b = 3 / 2
Third, write the equation of the tangent line:
y = (1 / 4) · x + 3 / 2
(c) A point on the curve has a vertical line tangent if and only if y³ + 1 = 0. Then,
y³ = - 1
y = - 1
Now we determine all possible x-values:
x² + 2 · x + (- 1)⁴ + 4 · (- 1) = 5
x² + 2 · x - 8 = 0
(x + 4) · (x - 2) = 0
x = - 4 or x = 2
The two points are (x, y) = (- 4, - 1) and (x, y) = (2, - 1).
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Y=x-10 Y=-4x-5
Solve using substitution
Answers
Answer:
x = 1
Step-by-step explanation:
Both equations can be set equal to each other since they are both equal to y:
\(x-10=-4x-5\\5x-10=-5\\5x=5\\x=1\)
equate both equations !
x - 10 = -4x - 5
5x - 10 = -5
5x = 5
x = 1
therefore x = 1
22. A box containing 40 marbles weighs 280 grams. When 30 marbles are added, the box weighs 430 grams. How many grams does the box weigh when empty? A 80 B 120 C 150 D 490 E 710
Answers
Answer:
A/ 80 grams
Step-by-step explanation:
We know that 430 - 280 = 150, so each marble weights 5 grams. Then we take 5 times 40 = 200 grams. Then we take 280 subtract 200 = 80 grams
if = 3i^ - j^ + 4k^ and = x i^ + j^ - 5k^, find x so will be perpendicular to a.
Answers
Therefore, x = 7 is the value that makes vector b perpendicular to vector a.
To find the value of x such that vector b is perpendicular to vector a, we can use the dot product. The dot product of two vectors is zero when they are perpendicular.
Given:
Vector a = 3i^ - j^ + 4k^
Vector b = xi^ + j^ - 5k^
The dot product of a and b is:
a · b = (3i^ - j^ + 4k^) · (xi^ + j^ - 5k^)
= 3x + (-1)(1) + 4(-5)
= 3x - 1 - 20
= 3x - 21
To make vector b perpendicular to vector a, the dot product a · b must be zero:
3x - 21 = 0
Solving this equation for x:
3x = 21
x = 21/3
x = 7
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Anyone here that can help me with?
Answers
Answer:
D. 16 years old
Step-by-step explanation:
Step 1: Let T be Tien's age and J as Jordan's age (today),
\(T=\frac{1}{4}J\)
Step 2: Let T be Tien's age and J as Jordan's age (in 2 years),
\(T+2=\frac{1}{3} (J+2)\)
\(T=\frac{1}{3}(J+2)-2\)
Step 3: As their age differences will always be similar we can have the two equations above equal to find Jordan's age,
\(\frac{1}{4} J=\frac{1}{3}(J+2)-2\\\frac{1}{4}J-\frac{1}{3}J=\frac{2}{3} -2 \\-\frac{1}{12}J= -\frac{4}{3} \\\\J=16\)
If the Canadian dollar buys 82¢ in US currency, what would it cost, in Canadian dollars to buy a scooter advertised for $164. 00 in the USA?
HELP ME PLEASE
Answers
Answer: 200
Step-by-step explanation:
1 Canadian dollar buys 82c in US
1 dollar = 100c
=> 100 c Canadian = 82c in US
=> 100 Canadian dollar buys 82 dollar in US
Canadian dollar required to buy 82 dollar in US = 100
=> Canadian dollar required to buy 1 dollar in US = 100/82
=> Canadian dollar required to buy 164 dollar in US = 164 x 100/ 82
= 2 x 100
= 200 $
cost 200 in Canadian dollars to buy a Walkman advertised for $164.00 in the USA