Answer:
sin(A) = cos(C)
Step-by-step explanation:
Trig ratios:
\(\mathsf{\sin(\theta)=\dfrac{O}{H} \ \ \ \cos(\theta)=\dfrac{A}{H} \ \ \ \tan(\theta)=\dfrac{O}{A}}\)
(where \(\theta\) is the angle, O is the side opposite the angle, A is the side adjacent to the angle, H is the hypotenuse, of a right triangle)
\(\mathsf{\sin(A)=\dfrac{BC}{AC}}\)
\(\mathsf{\cos(C)=\dfrac{BC}{AC}}\)
Therefore, sin(A) = cos(C)
A 9th grade teacher at a local high school wants to know which subject the 9th grade students in the high school like best which group of people should make up a sample that will best answer her question a, other 9th grade teachers in her school
B, parents of 9th graders in her school
C, 9th graders in her school
D,9th graders in her homeroom
The group of people who should make up a sample that will best answer her question is the 9th graders in her school. The correct option is C.
What are subjects?Subjects are the different sets of information which is studied.
9th graders in her school will be perfect because the question is specifically asking about the opinions of 9th-grade students in the high school, so it makes sense to sample this group directly.
The other options may provide some insights, but they may not be as accurate or representative of the opinions of the 9th-grade students in the school.
Thus, the correct option is C, 9th graders in her school.
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How do you simplify the fraction 18/72
Answer:
1/4
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator GCD of 18 and 72 is 18
Divide both the numerator and denominator by the GCD 18 ÷ 18 / 72 ÷ 18
Reduced fraction: 1 / 4 Therefore, 18/72 simplified to lowest terms is 1/4.
If m∠1 = 3x + 15, m∠2 = 4x - 5, and m∠3 = 5y, find the value of y. *
Answer:
from the election of wine and decor is he going is nuryslam is he going
Step-by-step explanation:
eye on r and I have to go back and I have to khow hasgot is he still is a good time for me e and decor ☺️ and I have to do some research is a good idea for you khow
What is the volume of the pyramid? Show all work.
6 m
8 m
4 m
-42/7 what is the answer
Answer: -6
Step-by-step explanation: the answer that's correct is -6. trust me. If you got it correct mark me brainlest.
I need this please help
graph the line passing through (−4,−1) whose slope is m=-4/5
Answer:
\(y=-\frac{4}{5}x-\frac{21}{5}\)
Step-by-step explanation:
The fastest way is to use point-slope form with \(m=-\frac{4}{5}\) and \((x_1,y_1)=(-4,-1)\):
\(y-y_1=m(x-x_1)\\y-(-1)=-\frac{4}{5}(x-(-4))\\y+1=-\frac{4}{5}(x+4)\\y+1=-\frac{4}{5}x-\frac{16}{5}\\y=-\frac{4}{5}x-\frac{21}{5}\)
To graph the line passing through (-4,-1) with slope m = -4/5, we can use the slope-intercept form of the equation of a line, which is:
y = mx + b
where m is the slope and b is the y-intercept.
Substituting m = -4/5, x = -4, and y = -1, we can solve for b:
-1 = (-4/5)(-4) + b
-1 = 3.2 + b
b = -4.2
Therefore, the equation of the line is:
y = (-4/5)x - 4.2
To graph the line, we can plot the given point (-4,-1) and then use the slope to find additional points. Since the slope is negative, the line will slope downwards from left to right. We can find the y-intercept by setting x = 0 in the equation:
y = (-4/5)x - 4.2
y = (-4/5)(0) - 4.2
y = -4.2
So the y-intercept is (0,-4.2).
Using this point and the given point (-4,-1), we can draw a straight line passing through both points.
Here is a rough sketch of the graph:
|
|
| *
| /
| /
| /
-----*--------
|
|
|
|
|
The point (-4,-1) is marked with an asterisk (*), and the y-intercept (0,-4.2) is marked with a dash. The line passing through these two points is the graph of the equation y = (-4/5)x - 4.2.
please help the Marshmello
So the value of X is 2.
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
\(x = 2\)
First answer is correct
Step-by-step explanation:
\(9 = 1 + 8x - 8 \\ 9 - 1 + 8 = 8x \\ 16 = 8x \\ \frac{16}{8} = \frac{8x}{8} \\ x = 2\)
hope this helps
brainliest appreciated
good luck! have a nice day!
Use the graph of f(x) to find the solutions to the equation f(x)=0.
Answer:
x = -4, 7
Step-by-step explanation:
Pre-SolvingWe are given the graph of the function f(x), and we want to find the values that make the statement f(x) = 0.
f(x) = 0 means that there are certain values that make the value of f(x) (which can be considered as y) equal to 0.
SolvingWe can look to the graph to help us - we should look at where y is equal to 0, which is the x-axis.
On the x-axis, we can see that the function passes through both -4 and 7 (the graph goes up by 1) on that line.
As coordinate points, they are written as (-4,0) and (7,0).This means that when either -4 or 7 are substituted into the function (i.e. when they are equal to x), they will make the function equal 0.
So, it means that x = -4, 7.
HELP SRSLY I JEED TO GET THIS RIHT ILL MARK AS BRAINLYIST AND ILL GIVE 40 POINTS 14 yd-
12 yd
30 yd
2
The triangular prism above undergoes a dilation whose scale factor is
3
What is the volume of the image? Round your answer to the nearest tenths place.
A triangular prism is a three-dimensional geometric shape that consists of two triangular bases and three rectangular faces connecting them. It is a polyhedron with six faces, nine edges, and six vertices.
The two triangular bases of a triangular prism are congruent and parallel to each other. The rectangular faces are perpendicular to the triangular bases, and their lateral edges connect the corresponding vertices of the triangular bases.
The triangular bases are identical and parallel to each other. Each base has three vertices, three edges, and one face.There are three rectangular lateral faces connecting the corresponding vertices of the triangular bases. Each lateral face has two edges and one face.
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Hi I need help finding the degree measure of Radian on a triangle with hypotenuse =7 and opposite =3
Answer:
24.6 degrees.
Step-by-step explanation:
To find the degree measure of the radians in a right triangle with hypotenuse = 7 and opposite = 3, we need to use trigonometric ratios. Since the opposite and hypotenuse are given, we can use the sine ratio.
sin(θ) = opposite/hypotenuse
sin(θ) = 3/7
Now we need to find the angle measure θ. We need to use the inverse sine or arcsine function to do this.
θ = sin^-1(3/7)
θ ≈ 0.429 radians
To find the degree measure, we must convert radians to degrees by multiplying by 180/π.
θ ≈ 0.429 x 180/π
θ ≈ 24.6 degrees
Therefore, the degree measure of the radians in the given triangle is approximately 24.6 degrees.
After examining the reciprocal identity for sect, explain why the function is undefined at
certain points.
The function is undefined for those values of x where the denominator is zero.
What informs the function to be undefined?The reciprocal identity for sine, cosine, and tangent states that:
sin(x) = 1/csc(x)
cos(x) = 1/sec(x)
tan(x) = 1/cot(x)
It is important to note that csc, sec, and cot are only defined for values of x where the denominator is not equal to zero.
For example, csc(x) is defined as 1/sin(x), so it is undefined for x = kπ where k is any integer and sin(x) = 0.
Similarly, sec(x) is defined as 1/cos(x) and is undefined for x = (k+1/2)π where k is any integer and cos(x) = 0. Finally, cot(x) is defined as 1/tan(x) and is undefined for x = kπ where k is any integer and tan(x) = 0.
Therefore, the reciprocal identity for sine, cosine, and tangent is only defined for certain input values, and it is undefined for those values of x where the denominator is zero.
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(2x + 25) y
(3x - 10)
solve to get the answers of the variables
Answer:
y = 65 degrees
Step-by-step explanation:
(this is what i remember from geometry at least so let me know if i got anything wrong)
2x+25 and 3x-10 are opposites which means they are equal to each other.
2x+25 = 3x-20 get the x values on the same side by subtracting 2 from both sides
25 = x-20 to get the x value alone add 20 to both sides
45 = x
now you can plug in x to either equation to find out what their degree is
2(45)+25 = 115 degrees
and since this equation and y are on the same line you can subtract 115 from 180 (a line is equal to 180 degrees) to find y
180-115 = 65 degrees
Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle. The value of the variables x and y are 35 and 85, respectively.
What are vertical angles?Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle.
The angle measuring (2x+25)° and (3x-10)° are vertical angles. Therefore, we can write,
(2x + 25) = (3x - 10)
2x + 25 = 3x - 10
25 + 10 = 3x - 2x
x = 35
Also, in the given image the angle measuring (2x + 25)° and y° are supplementary angles, therefore, we can write,
(2x + 25)° + y° = 180°
2x + 25 + y = 180°
Substitute the value of x,
2(35) + 25 + y = 180
70 + 25 + y = 180
95 + y = 180
y = 85°
Hence, the value of the variables x and y are 35 and 85, respectively.
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What is the volume of this sphere? help plz.
Answer:
3821057.63 m³
Step-by-step explanation:
volume of sphere : V=(4/3)πr³
here given r is 97 and π is 3.14
volume = (4/3) * 3.14 * 97³
= 3821057.63 m³
Answer:
3821057.63 m³Step-by-step explanation:
We know that:
Volume of Sphere = (4/3πr³)π = 3.14Work:
Volume of Sphere = 4/3πr³=> Volume of Sphere = 4/3 x π x r³=> Volume of Sphere = 4/3 x π x r x r x r=> 4/3 x π x r x r x r=> 4/3 x 3.14 x 97 x 97 x 97=> 3821057.626=> 3821057.63 m³Hence, the volume of sphere is 3821057.63 m³.
In the triangles below, m/B = m/P and m/T = m/J. What is the length of pq
Answer:
5 1/3
Step-by-step explanation:
Apply +133.3% to the sides
I will show you a pic
first we can separate the values with exponents that having the same base can be reduced
so
\(\begin{gathered} \frac{4.8\times2.2}{1.2}\times\frac{10^8\times10^{-6}}{10^4} \\ \\ \frac{4.8\times2.2}{1.2}\times10^{8-6-4} \\ \\ \frac{4.8\times2.2}{1.2}\times10^{-2} \end{gathered}\)now do the multiplication between 4.8 and 2.2 and reduce the fraction
\(\begin{gathered} \frac{10.56}{1.2}\times10^{-2} \\ \\ 8.8\times10^{-2} \\ =0.088 \end{gathered}\)so, the right option is B
what is the greatest common factor of 6d² and 18d
gcd = 6 ⋅ d
Step-by-step explanation:
We have that
6 d ^2 = 6 ⋅ d ⋅ d and 18 d = 3 ⋅ 6 ⋅ d hence the gcd = 6 ⋅ d
(Hope this helps <3)
2) √51 is closest to which whole
number?
After cοmpleting the task, we can state that The whοle number clοsest tο expressiοn 7.141 is 7. Therefοre, √51 is clοsest tο the whοle number 7.
What is whοle number?The whοle numbers are the part οf the number system which includes all the pοsitive integers frοm 0 tο infinity. These numbers exist in the number line. Hence, they are all real numbers. We can say, all the whοle numbers are real numbers, but nοt all the real numbers are whοle numbers.
Thus, we can define whοle numbers as the set οf natural numbers and 0. Integers are the set οf whοle numbers and negative οf natural numbers. Hence, integers include bοth pοsitive and negative numbers including 0. Real numbers are the set οf all these types οf numbers, i.e., natural numbers, whοle numbers, integers and fractiοns.
√51 is apprοximately equal tο 7.141. The whοle number clοsest tο 7.141 is 7.
Therefοre, √51 is clοsest tο the whοle number 7.
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Question Help
Challenge Last month, Dani's neighbors paid her to take care of their fish when they went on
vacation. She spent $4 of her earnings on an afternoon snack and $12 on a new book. Afterward,
she had at most $7 left. How can you best describe how much Dani's neighbors paid her?
Select the correct choice below and fill in the answer box to complete your choice
Answer:
They paid her $23 at most
Step-by-step explanation: 4+12+7=23
The Boolean expression
A >= B
is equivalent to which of the following expressions?
(A) !(A < B)
(B) !(B >= A)
(C) !(A <= B)
(D) A != B
(E) B >= A
The Boolean expression A >= B is equivalent to !(A < B) (option A)
To simplify a Boolean expression, use De Morgan's Law.
De Morgan's Law is used to simplify or find the equivalent of a negation of compound expressions.
The principle is:
NOT (A AND B) is equivalent to (NOT A) OR (NOT B)
NOT (A OR B) is equivalent to (NOT A) AND (NOT B)
When the expression involves >, <, = signs, then to simplify the expression, move the not and flip the sign.
! is the symbol of negation or NOT.
Hence,
! (>) becomes <=
! (<) becomes >=
Here are some examples:
!(A > B) is equivalent to (A <= B)
!(A <= B) is equivalent to (A > B)
!(A >= B) is equivalent to (A < B)
!(A == B) is equivalent to (A != B)
!(A != B) is equivalent to (A == B)
!(A < B) is equivalent to (A >= B)
From the above list we can conclude that A >= B is equivalent to !(A < B) (option A)
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A
B
C
D
If AC = 16x-15, find x. Round your answer to the nearest tenth if necessary.
AB= 5x + 13
BC = 24
Answer:
x = 4.7
Step-by-step explanation:
AB + BC = AC
5x+13+24 = 16x-15
5x+37 = 16x-15
52 = 11x
x = 4.7272727 = 4.7
1. Write fraction as a mixed number.
5/4
1 1/4
4 fits into five once, leaving 1/4 left making it a mixed number.
How many complex roots (zeros) does f(x) have shown below? f(x)= -3x^3+5x-2
The number of complex roots (zeros) f(x) have shown from the function f(x)=-3x³+5x-2 is 2
How to find number of complex zeros?The number of complex zeros is the number or orders of differentiation of the function given
The given function is f(x)=-3x³+5x-2
Differentiate we have
dy/dx= -3*3x²+1*5-0
This gives the first zero
dy/dx=-9x²+5
The second order derivative is
d2yd2x=-18x+0
This gives the second zero
⇒d2y/d2x=-18
Therefore the second order derivative gives the answer to be 18
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Use the equation 80.4 ÷ d = 0.804
Answer:
The answer is 100
Step-by-step explanation:
Just divide 80.4 by 0.804
find the geometric sequence with a common ratio... 500, 50, 5, 0, 0.5
To find the common ratio,
divide a number by a number before it
common ratio = 50/500 = 1/10 or 0.1
Please help ASAP!!!!!!!!!!!!!
Answer:good luck yo
Step-by-step explanation:2 times 5
Melvin's bank account has a balance of $9685.06. The previous balance was $6955.01. Melvin made
deposit of $2815.85 and withdrew $100.00. How much did he earn in interest?
$18.40
$16.20
O$18.04
O $14.20
Melvin earned interest of $14.20.
The compensation a lender or financial institution receives for lending out money is called interest. The percentage of a stockholder's ownership in a company that is also referred to as interest.
The current balance is the previous balance increased by the deposit and interest and decreased by the withdrawal. Let x be the interest.
$6,955.01 + $2,815.85 + x − $100.00=$9,685.06
Combine like terms
$9,670.86 + x = $9,685.06
Subtract $ 9,670.86 from both sides of the equation
x = $14.20
Hence, Melvin earned interest of $14.20.
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An interior designer is redecorating a room that is 26 feet long by 18 feet wide by 9 feet high. At one end of the room is a door that is 6 feet 6 inches high and 4 feet wide. One of the walls contains 2 windows, each of which is 2 feet wide by 2 feet 6 inches high.
A: How much will it cost to carpet the floor if the carpet sells for $18.00 a square yard? $
B: How much will it cost to wallpaper all four walls if wallpaper costs $0.75 per square foot? $
C: How much will it cost to paint the ceiling using paint that sells for $25 per gallon if a quart of paint will cover 88 square feet? $
D: What will be the cost of the entire project? $
Answer: A: It will cost $936.00 to carpet the floor.
B: It will cost $297.00 to wallpaper all four walls.
C: It will cost $33.25 to paint the ceiling.
D: The cost of the entire project will be $1266.25.
Step-by-step explanation:
To calculate the costs for carpeting, wallpapering, painting, and the overall cost of the project, we need to determine the areas that need to be covered and the corresponding prices for each material.
Given dimensions:
Room length: 26 feet
Room width: 18 feet
Room height: 9 feet
Door dimensions:
Height: 6 feet 6 inches
Width: 4 feet
Window dimensions (each):
Width: 2 feet
Height: 2 feet 6 inches
A: Carpeting the floor:
To find the area of the floor, we multiply the length and width of the room:
Floor area = Length × Width = 26 feet × 18 feet = 468 square feet.
To convert to square yards (since the carpet is sold per square yard), we divide by 9:
Floor area in square yards = 468 square feet / 9 = 52 square yards.
Cost to carpet the floor = Floor area in square yards × Cost per square yard = 52 square yards × $18.00 = $936.00.
B: Wallpapering the walls:
To find the area of the walls, we calculate the perimeter of the room (2 × (Length + Width)) and multiply it by the height of the room:
Wall area = Perimeter × Height = 2 × (26 feet + 18 feet) × 9 feet = 396 square feet.
Cost to wallpaper the walls = Wall area × Cost per square foot = 396 square feet × $0.75 = $297.00.
C: Painting the ceiling:
To find the area of the ceiling, we multiply the length and width of the room:
Ceiling area = Length × Width = 26 feet × 18 feet = 468 square feet.
Since a quart of paint covers 88 square feet, we need to determine the number of quarts required:
Number of quarts = Ceiling area / Coverage per quart = 468 square feet / 88 square feet = 5.32 quarts.
Since a gallon contains 4 quarts, the number of gallons required is 5.32 quarts / 4 quarts = 1.33 gallons.
Cost to paint the ceiling = Number of gallons × Cost per gallon = 1.33 gallons × $25.00 = $33.25.
D: Cost of the entire project:
Total cost = Cost to carpet the floor + Cost to wallpaper the walls + Cost to paint the ceiling
= $936.00 + $297.00 + $33.25 = $1266.25.
Therefore:
A: It will cost $936.00 to carpet the floor.
B: It will cost $297.00 to wallpaper all four walls.
C: It will cost $33.25 to paint the ceiling.
D: The cost of the entire project will be $1266.25.
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Malcolm and Theo's families are both traveling to the same vacation resort.
The equation d=65t models the distance, d, that Malcolm's family travels after t hours.
The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.
Solution :
Equation for Malcom's family travels after t hours is d = 65 t
From the graph, equation for Theo's family travels after travels after t hours is
\($d=\frac{225}{4.5}t$\)
\($d=50 t$\)
For Malcom's family, speed \($= \frac{d}{t}$\) = 65 miles per hour
For Theo's family, speed \($= \frac{d}{t}$\) = 50 miles per hour
Malcom's family traveled faster than Theo's family by
= (65-50) miles per hour
= 15 miles per hour
asap help please on this question thanks