When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other. The correct option is C.
What are Complementary Angle?When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other.
for example, ∠x + ∠y = 90°, therefore, the ∠x and ∠y are the complementary angles of each other.
The two angles which are complementary angles are 1° and 89° because their sum is 90°.
Hence, the correct option is C.
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Each statement describes a transformation of the graph of y = ln x. Which statement correctly describes the graph of y = ln(x - 7) + 3?
The statement correctly describes the graph of y = ln(x - 7) + 3 is translated 3 units up as well as 7 units to the right.
what is the graph of logarithmic function?The graph of a logarithmic function has a vertical asymptote at x = 0. The graph of a logarithmic function will decrease from left to right
if 0 < b < 1. And if the base of the function is greater than 1, b > 1, then the graph will increase from left to right.
Given graph : y = ln(x), has a vertical and horizontal translation.
As we know, y = ln(x - h) + k | where h is the vertical shift, and k is the horizontal shift.
If ln(x - k), then the graph is translated right k units.If ln(x + k), then the graph is translated left k units.If ln(x) + h, then the graph is translated up h units.If ln(x) - h, then the graph is translated down h units.Therefore, comparing y = ln(x - 7) + 3 it with different function we can write the graph of y = ln(x - 7) + 3 is translated 3 units up as well as 7 units to the right.
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the mean of the data set is 18. what number is missing? 21,11,_,27,22,13,16
The missing number given the mean of the data set is 16.
What is the missing number?Mean is the average of a data set. It is determined by adding all the numbers in the data set and dividing the sum by the numbers in the data set.
Missing number = (mean x total number in the data set) - sum of numbers in the data set
(18 x 7) - ( 21 + 11 + 27 + 22 + 13 + 16)
126 - 110
= 16
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Which expression is not a polynomial?
Answer:
the first choice is not a polynomial because you can't divide by a variable.
Please help. Trigonometric ratios
Question 2.1.1
Answer: 5 unitsReason:
Use the distance formula to find the distance from the origin (0,0) to the terminal point (-3, 4)
[tex](x_1,y_1) = (0,0) \text{ and } (x_2, y_2) = (-3,4)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-(-3))^2 + (0-4)^2}\\\\d = \sqrt{(0+3)^2 + (0-4)^2}\\\\d = \sqrt{(3)^2 + (-4)^2}\\\\d = \sqrt{9 + 16}\\\\d = \sqrt{25}\\\\d = 5\\\\[/tex]
The pythagorean theorem is a similarly related alternative path you can take.
This triangle is a 3-4-5 right triangle.
====================================================
Question 2.1.2
Answer: 1/5Reason:
r = distance from origin to terminal point
r = 5, calculated back in the previous problem above.
sin(alpha) = y/r = 4/5
cos(alpha) = x/r = -3/5
sin(alpha)+cos(alpha) = (4/5)+(-3/5) = 1/5
====================================================
Question 2.1.3
Answer: 1Reason:
Recall that tangent is the ratio of sine over cosine
tan = sin/cos
Therefore,
[tex]\tan(\alpha) *\frac{\cos(\alpha)}{\sin(\alpha)}\\\\\frac{\sin(\alpha)}{\cos(\alpha)}*\frac{\cos(\alpha)}{\sin(\alpha)}\\\\\frac{\sin(\alpha)*\cos(\alpha)}{\cos(\alpha)*\sin(\alpha)}\\\\1[/tex]
This assumes that neither sin(alpha) nor cos(alpha) are zero. Otherwise, we have a division by zero error.
An airplane flight has 374 seats. The probability that a person who buys a ticket actually goes on that flight is about 85%. If the airline wants to fill all the seats on the flight, how many tickets should it sell?
Taking into account the definition of ratio and proportion, the airline should sell 440 tickets.
What is ratio and proportionThe ratio is the comparison of two quantities and is measured from the division of two values.
The relationship of equality that exists between two ratios, that is, between two comparisons between two determined quantities, is known as a proportion. So if [tex]\frac{a}{b}[/tex] corresponds to the ratio, then [tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex] equals a proportion.
Amount of tickets soldAn airplane flight has 374 seats. The probability that a person who buys a ticket actually goes on that flight is about 85%. The airline wants to fill all the seats (100%) on the flight.
This can be represented by the proportion:
[tex]\frac{374}{85}[/tex] = [tex]\frac{amount of tickets}{100}[/tex]
Solving:
amount of tickets= 100×[tex]\frac{374}{85}[/tex]
amount of tickets= 440
Finally, the airline should sell 440 tickets.
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Problem is in the picture
The height of a woman whose femur (f) measures 49 centimeters is equal to 173.15 centimeters.
What is a function?A function can be defined as a mathematical expression that defines and represents the relationship that exists between two or more variable of a data set.
In order to determine the height of a woman whose femur (f) measures 49 centimeters, we would substitute this numerical value into the first function as follows:
G(f) = 2.57f + 47.22
G(49) = 2.57(49) + 47.22
G(49) = 125.93 + 47.22
G(49) = 173.15 centimeters.
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Lucky Champ owes $204.00 interest on a 8% loan he took out on his March 17. The loan is due on August 17. What is the principal?
Answer:
2,550 dollars hope u get a good grade
Step-by-step explanation:
the andswer is 220.32
Step-by-step explanation:
when you take 204 times the 8percent interest
204 x .08
you get 16.32
now add 16.32 and 204 and thats what you owe for your loan
What is the solution to √6x-3 = 2√x?
Answer:
the answer is B
Step-by-step explanation:
the answer is B if it correct can i have brainalliest
Which function is being graphed below?
The absolute function will be f(x) = | x - 5 | - 4.
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
The absolute function is given as
f(x) = | x - h | + k
Where h,k is the vertex of the absolute function.
f(x) = | x - 5 | - 4
Therefore the absolute function will be f(x) = | x - 5 | - 4.
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Solve the system of equations by substitution.
-3x - 2y + 2z = 19
2x + y + 3z = -20
Z = -2
Answer:
Step-by-step explanation:
-3x - 2y + 2(-2) = 19
-3x -2y - 4 = 19
-3x - 2y = 23
2x + y - 6 = -20
2x + y = -14
-3x -2y = 23
2x + y = -14
-3x - 2y = 23
4x + 2y = -28
x = -5
-10 + y = -14
y = -4
x= -5, y = -4, z= -2
Which clock shows 11:22?
A.
A clock shows the hour hand slightly past 11 and the minute hand at one mark past the 3.
B.
A clock shows the hour hand slightly past 11 and the minute hand at 6.
C.
A clock shows the hour hand slightly past 11 and the minute hand at two marks past the 4.
D.
A clock shows the hour hand slightly past 11 and the minute hand at one mark past the 2.
Answer:
Option C
Step-by-step explanation:
A clock shows the hour hand slightly past 11 and the minute hand at two marks past the 4.
Find the solutions of each equation on the interval
(SHOW WORK)
im not in collage but I'll try ok so its most likely
Factor then solve to find the complex solutions.
x=2πn, for any integer n
if i was right could i get brainly?
5) Kerjakan perkalian dibawah ini
82
44
X
Answer:
1. 3608
2.3956
3. 714
Step-by-step explanation:
jap darab ke apa ni
Match each expression on the left with an equivalent expression on the right. Some answer choices on the right will not be used.
Answer:
The answer is below :
What is the measure of x
Answer:
58 degrees
Step-by-step explanation:
XYZ is 90 degrees. XYO is 32 degrees. Angle x takes up the space leftover in the right angle, so simply subtract 32 from 90.
90-32= 58
Hope this help! (if it does pls consider giving me brainliest)
Sketch the graph of y = –1.5(4)x. Then state the function’s domain and range.
The plot of the graph y = –1.5(4)^x is shown below of which its domain and range exist on all real values
Exponential equationThe standard exponential function is expressed as y = ab^x
where
a is the base valuex is the exponentThe exponential function shows an increase along the y-axis and towards the x-axis
According to the equation, we are to plot the graph y = –1.5(4)^x of which its domain and range exist on all real values
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I need help with this problem
Answer:
sorry i can't see it properly I am very sorry
The graph of function g (x) predicts the profit of jimmy's famous Jer*y for a week. The x-axis represents the number of employees earning overtime for the week. The y-axis is the business's profit for the week in hundreds of dollars.
By identifying the maximums, we see that in each blank we need to write:
1) 2
2) 2
3) greater.
How to complete the given statement?
First, we need to find the maximum of the function g(x).
You can see that for x = 2 we have the maximum of the parabola, which gives y = 9.
Then the maximum profit is got when 2 employees earn overtime.
We also need to find the maximum for the table. Notice that the maximum value of the table also happens for x = 2, and this time the maximum is y = 16.
So we can see that the maximum of Cathy's cupcakes is larger than the maximum of Jimmy's.
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rotation 180° about the origin
Answer:
The rule for a rotation by 180° about the origin is (x,y)→(−x,−y).
Step-by-step explanation:
The rotation of angle 180 degree about origin is described below.
Rotation 180° about the origin is a geometric transformation that involves rotating a figure or shape around the point (0,0),
Also known as the origin, by an angle of 180 degrees.
This means that every point on the shape is moved to an equal distance away from the origin but on the opposite side of the origin.
This transformation is a reflection where the shape is flipped along,
the x-axis or y-axis or both, depending on the shape's orientation.
The rotation 180° about the origin is a common transformation in various geometrical applications, such as computer graphics, engineering, and physics.
It is a simple transformation that can be easily represented and performed using matrices or complex numbers.
Therefore,
rotation 180° about the origin is a geometric transformation that is important in various applications and involves rotating a shape around the origin by an angle of 180 degrees, resulting in a reflection of the shape across the x or y-axis.
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How to calculate the area of trapezium B using the scale factor
Answer:
612.5 cm²
Step-by-step explanation:
The ratio of areas of similar figures is the square of the scale factor. The scale factor is the ratio of corresponding side lengths. Here, we must find the scale factor.
__
missing side of AThe only given side of trapezium B corresponds to an unknown side of trapezium A. We can find the length of that unknown side using the area formula.
A = 1/2(b1 +b2)h . . . . . parallel sides b1, b2; height h
98 cm² = 1/2(16 cm +b2)(7 cm) . . . . use known values
28 cm = 16 cm +b2 . . . . . . . . . . divide by 3.5 cm
b2 = 12 cm . . . . . . . . . . . . . . subtract 16 cm
The top side of trapezium A is 12 cm long.
scale factorNow we have the lengths of corresponding (top) sides, so we can find the scale factor. It is their ratio. We choose to express it as (size of B)/(size of A).,
k = (30 cm)/(12 cm) = 2.5
area of BThe area of trapezium B will be that of trapezium A multiplied by the square of the scale factor:
area B = (k²)(area A) = (2.5²)(area A)
area B = 6.25×98 cm² = 612.5 cm²
The area of trapezium B is 612.5 cm².
What is the area of this rectangle? (4 points)
A rectangle completely covered in square units is partitioned into two rectangles. The first rectangle has a measurement of four centimeters along the top and seven centimeters along the side. The second rectangle has a measurement of two centimeters along the top and seven centimeters along the side.
Answer:
42 cm
Step-by-step explanation:
The first rectangle has a length of 4 and a Width of 7. the second rectangle has a length of 2 and a width of 7.
The formula for area of a rectangle is A=l*w
SO,
Rectangle 1: A= L*W
A=4*7
A=28
Rectangle 2:
A=L*W
A=2*7
A=14
Now, add both areas since they are both part of one whole recatngle.
28+14
= 42
Need help ASAP
Stuck on this question and need help
Answer:
Factory A = 1200
Factory B= 1350
Factory C= 1050
Factory D = 1100
Step-by-step explanation:
Factory B as the fastest rate of production
vehicle A has a final sale price of $25,000 at 5% interest and financing up to 60 months and vehicle B has a final sale price of $29,000 at 4% interest and financing up to 60 months
how do I solve this and do I have enough information to answer the question and what step would take to solve the problem and how do I calculate the results
The calculation of the interest based on the price given shows that vehicle B has a lower interest.
How to calculate the price?From the information given, vehicle A has a final sale price of $25,000 at 5% interest and financing up to 60 months. The interest will be:
= (25000 × 5 × 5)/100
= $6250
Vehicle B has a final sale price of $29,000 at 4% interest and financing up to 60 months. The interest will be:
= (29000 × 4 × 5)/100
= $5800
Therefore, the calculation of the interest based on the price given shows that vehicle B has a lower interest.
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for each circle , work out
Answer:
Formulas
[tex]\textsf{Area of a circle}=\pi r^2 \quad \textsf{(where r is the radius)}[/tex]
[tex]\textsf{Area of a semicircle}=\dfrac{1}{2}\pi r^2 \quad \textsf{(where r is the radius)}[/tex]
[tex]\textsf{Circumference of a circle}=\sf 2 \pi r\quad\textsf{(where r is the radius)}[/tex]
[tex]\textsf{Radius of a circle}=\sf \dfrac{1}{2}d\quad\textsf{(where d is the diameter)}[/tex]
[tex]\textsf{Perimeter of a semicircle}=r(\pi +2) \quad \textsf{(where r is the radius)}[/tex]
Use the above formulas to calculate the various measurements, remembering to calculate the radius first when given the diameter.
Question 9a) Radius = 2.7 cm
[tex]\implies \textsf{Area}=\sf \pi (2.7)^2=22.9\:\:cm^2\:(1\:d.p.)[/tex]
[tex]\implies \textsf{Circumference}=\sf 2 \pi (2.7)=17.0\:\:cm\:(1\:d.p.)[/tex]
-----------------------------------------------------------------------
b) Diameter = 45 mm
[tex]\sf \implies Radius =\dfrac{45}{2}=22.5\:\:mm[/tex]
[tex]\implies \sf Area= \pi (22.5)^2=1590.4\:\:mm^2\:(1\:d.p.)[/tex]
[tex]\implies \sf Circumference= 2 \pi (22.5)=141.4\:\:mm\:(1\:d.p.)[/tex]
Question 10a) Radius = 8.5 cm
[tex]\implies \sf Area=\dfrac{1}{2}\pi (8.5)^2=113.5\:\:cm\:(1\:d.p.)[/tex]
[tex]\sf \implies Perimeter=8.5(\pi +2)=43.7\:\:cm\:(1\:d.p.)[/tex]
-----------------------------------------------------------------------
b) Radius = 24 mm
[tex]\implies \sf Area=\dfrac{1}{2}\pi (24)^2=904.8\:\:mm\:(1\:d.p.)[/tex]
[tex]\sf \implies Perimeter=24( \pi +2)=123.4\:\:cm\:(1\:d.p.)[/tex]
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c) Diameter = 32 cm
[tex]\sf \implies Radius =\dfrac{32}{2}=16\:\:cm[/tex]
[tex]\implies \sf Area=\dfrac{1}{2}\pi (16)^2=402.1\:\:cm\:(1\:d.p.)[/tex]
[tex]\sf \implies Perimeter=16( \pi +2)=82.3\:\:cm\:(1\:d.p.)[/tex]
-----------------------------------------------------------------------
d) Diameter = 15 m
[tex]\sf \implies Radius =\dfrac{15}{2}=7.5\:\:m[/tex]
[tex]\implies \sf Area=\dfrac{1}{2}\pi (7.5)^2=88.4\:\:m\:(1\:d.p.)[/tex]
[tex]\sf \implies Perimeter=7.5( \pi +2)=38.6\:\:m\:(1\:d.p.)[/tex]
What are the coordinates of the point on the directed line segment from (−3,8) to (6, -4) that partitions the segment into a ratio of 1 to 5?
let's say the segment is A(-3,8) and B(6,-4) and point C splits it on a 1:5 ratio from A to B, let's check for C coordinates.
[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(-3,8)\qquad B(6,-4)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:5} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{5}\implies \cfrac{A}{B} = \cfrac{1}{5}\implies 5A=1B\implies 5(-3,8)=1(6,-4)[/tex]
[tex](\stackrel{x}{-15}~~,~~ \stackrel{y}{40})=(\stackrel{x}{6}~~,~~ \stackrel{y}{-4})\implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-15 +6}}{1+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{40 -4}}{1+5} \right)} \\\\\\ C=\left(\cfrac{-9}{6}~~,~~ \cfrac{36}{6} \right)\implies C=\left( -\cfrac{3}{2}~~,~~6 \right)[/tex]
JK ∥ NM. If JL = 32, LM = 20, and JK = 60, what is the length of NM
Answer:
NM= JL + LM + JK
NM= 32 + 20 + 60
NM= [112]
NM= 10,58
Step-by-step explanation:
Hope it helps!!
sanjana wrote the cross multiplication property for her proportion: xt=uy
Answer:
what does this mean. oh wAit iM dematerializinG mvxhkgd
hdgxmgxmgxkgzkgsktxktdktdktdktdtdkgd
What is answer? (-4589)+(+7658)=
Answer: Heyaa! ~
Your Answer is 3069
Step-by-step explanation:
(-4589)+(+7658)= 3069
Simplify the expression.Add together.
Hopefully this helps you! ~
Solve the proportion 60/n = 20/7
Answer:
The answer is zero there is no solving.
Step-by-step explanation:
cause you do
60/n=20/7, and then you move all the terms to the left
now it is: 60/2-(20/7)=0
the domain to this is n=0
add the numbers and variables together and get
60/n-(+20/7)=0 now get rid of the parentheses and now you got
60/n-20/7=0
and all that is 0
kinda hope this help lol
what percentage of 5/2 hours is 15 minutes?
Answer:
10 %
Step-by-step explanation:
15 mn = 1/4 h
We have :
[tex]\frac{\frac{1}{4} }{\frac{5}{2} } =\frac{1}{4} \times \frac{2}{5} =\frac{2}{20} =\frac{1}{10}=0.1[/tex]
Then the percentage that 15 mn represents of 5/2 h is :
0.1 × 100 = 10 %