Answer:
Step-by-step explanation:
(cos 4a*cos 2a+sin 4a*sin 2a)/sin 4a
=[cos (4a-2a)]/sin 4a
=(cos 2a)/sin 4a
=(cos 2a) /(2 sin 2a cos 2a)
=1/(2 sin 2a)
=1/2 csc 2a
x/-2-3>2
SOlve the inequality
Answer:
x ∠ -10
Step-by-step explanation:
Answer:
[tex]x>-10[/tex]
Step-by-step explanation:
[tex]\frac{x}{-2} -3>2[/tex]
[tex]\frac{x}{-2} > 5[/tex]
[tex]x=-2[/tex] × [tex]5[/tex]
[tex]x>-10[/tex]
The following are the ages (years) of 5 people in a room: 16, 25, 23, 12, 17 A person enters the room. The mean age of the 6 people is now 20. What is the age of the person who entered the room?
Answer: 27
Step-by-step explanation:
Set the age of the person who entered the room as x[tex]Mean=\frac{16 + 25 + 23 + 12 + 17 + x}{6}=20 \\16 + 25 + 23 + 12 + 17 + x=20(6)\\93+x=120\\x=120-93=27[/tex]
Answer:
27 years old
Step-by-step explanation:
There are originally 5 people in the room.
Their ages are: 16, 25, 23, 12, 17
The sum of their ages is: 93
One person enters the room. That person's age is unknown, so we call it x.
The sum of the ages of the 6 people is:
x + 93
There are 6 people in the room now, so the mean age is (total age divided by number of people):
(x + 93)/6
We are told the mean age is 20.
(x + 93)/6 = 20
x + 93 = 120
x = 27
Answer: 27 years old
How many numbers of the set {1, 2, 3, 4, . . . , 297, 298, 299, 300} are multiples of 10 but not multiples of 15?
Answer:
I get 20
Step-by-step explanation:
While there probably is some logical way to go about this I just did it in excel
screenshot below
Answer:
20
Step-by-step explanation:
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answer for brainlyyyyyy
PLSSS
[tex]\huge\mathsf\green{ANSWER}:—[/tex]
[tex]option \: \: c \: \: \: \frac{3}{4} \: is \: the \: correct \: option[/tex]
Know more :-Rational numbers are numbers which can be represent in the form of p/q where p and q are integers and q≠0 that's why 3/4 is the correct option
plz mark me as brainliest answerMathematical Connections The triangle shown
is isosceles. Find the length of each side and the
perimeter.
#14
--------------------------------------
If a triangle is isosceles, it means that two sides have equal measures.The perimeter of a polygon is the sum of the lengths of all its sides.--------------------------------------
Value of n:
The two legs have the same length.One is [tex]5n - 17[/tex], and the other is [tex]2n + 1[/tex], thus:[tex]5n - 17 = 2n + 1[/tex]
[tex]5n - 2n = 1 + 17[/tex]
[tex]3n = 18[/tex]
[tex]n = \frac{18}{3}[/tex]
[tex]n = 6[/tex]
--------------------------------------
Lengths:
The lengths are given as functions of n, since n = 6:
[tex]5n - 17 = 5(6) - 17 = 30 - 17 = 13[/tex][tex]2n + 1 = 2(6) + 1 = 12 + 1 = 13[/tex][tex]n = 6[/tex]The length of the sides are: 13 cm, 13 cm and 6 cm.
--------------------------------------
Perimeter:
The perimeter is the sum of the lengths of all sides, so: 13 + 13 + 6 = 32 cm.
A similar question is given at https://brainly.com/question/6139098
Which inequality is represented by the graph?
Will give branilest
Answer:
It will be -6≤×≤4
Which series represents this situation? 1+1*7+1*7^ 2 +...1*7^ 6; 1+1*7+1*7^ 2 +...1*7^ 7; 7+1*7+1*7^ 2 +... 1*7^ 6; 7+1*7+1*7^ 2 +...1*7^ 7
Answer:
Step-by-step explanation:
The series is missing from the question. I will answer this question with a general explanation by using the following similar series:
[tex]\sum\limits^6_{n=0} 7^n[/tex]
Required
The series
To do this, we simply replace n with the values
[tex]\sum\limits^6_{n=0}[/tex] means n starts from 0 and ends at 6
[tex]\sum[/tex] means the series is a summation series
So, we have:
[tex]\sum\limits^6_{n=0} 7^n = 7^0 + 7^1 + 7^2 + ...... + 7^6[/tex]
[tex]\sum\limits^6_{n=0} 7^n = 1 + 7 + 7^2 + ...... + 7^6[/tex]
Could someone help me out?
Answers:
DE = 1.1DF = 1.6BC = 4.8===========================================================
Explanation:
I recommend drawing the two triangles as shown below. The diagram isn't to scale, but all that matters is that we get the general idea down.
Your teacher gave you this info:
angle A = angle E (red angles)angle C = angle F (blue angles)These two pieces of info are enough to prove that triangle ABC is similar to triangle EDF. Use the angle angle (AA) similarity theorem to do this proof. The order of the lettering matters because it helps us see how the letters pair up.
A and E go firstB and D in the middleC and F go lastSince the triangles are similar, the scale factor to go from ABC to EDF is EF/AC = 2/6 = 1/3
In other words, the side lengths of triangle EDF are exactly 1/3 that of the corresponding lengths of ABC. Or we can reverse things to say the sides of ABC are 3 times longer than the sides of EDF.
----------------------
Use this scale factor to help determine the missing length ED.
(ED)/(AB) = scale factor
(ED)/(AB) = 1/3
(ED)/(3.3) = 1/3
ED = (1/3)*(3.3)
ED = 1.1
Note how ED/AB = (1.1)/(3.3) = 11/33 = 1/3
----------------------
While we don't know how long sides BC or DF are, we are told that DF is 3.2 units shorter compared to BC.
This means
DF = BC - 3.2
DF = x - 3.2
Then we can say,
(DF)/(BC) = scale factor
(x-3.2)/(x) = 1/3
3(x - 3.2) = x*1
3x - 9.6 = x
3x - x = 9.6
2x = 9.6
x = (9.6)/2
x = 4.8
So BC is x = 4.8 units long and DF is x-3.2 = 4.8-3.2 = 1.6 units long
Given point P=(2,-4), determine its transformation after it goes through the composite transformation
Show all your work. P"=(
)
PLEASE HELP
Answer:
(2,-7)
Step-by-step explanation:
The point moves down 3 units resulting in (2,-7)
Teresa has $451 in a personal bank account,and then withdraws $10 per week.Andrew has $10 in a personal bank account,and then deposits $53 earned from dog grooming each week.After how many weeks will they have the same amount of money in the bank.
Given:
Teresa has $451 in a personal bank account,and then withdraws $10 per week.
Andrew has $10 in a personal bank account,and then deposits $53 each week.
To find:
After how many weeks will they have the same amount of money in the bank.
Solution:
Let x be the number of weeks after which they have the same amount.
Teresa has $451 in a personal bank account,and then withdraws $10 per week. So, the amount in Teresa's account is:
[tex]\text{Teresa's account}=451-10x[/tex]
Andrew has $10 in a personal bank account,and then deposits $53 each week. So, the amount in his account is:
[tex]\text{Andrew's account}=10+53x[/tex]
They have equal amount after x weeks. So,
[tex]451-10x=10+53x[/tex]
Isolate variable terms.
[tex]451-10=10x+53x[/tex]
[tex]441=63x[/tex]
Divide both sides by 63.
[tex]\dfrac{441}{63}=x[/tex]
[tex]7=x[/tex]
Therefore, they will have the same amount of money in the bank after 7 weeks.
On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 3 kg weighs 30 N. Find the weight of an object whose mass is 5 kg
Answer:
[tex]50 N[/tex]
Step-by-step explanation:
To help us find our answer, we need to use Newton's Second law
[tex]F = m \times a[/tex]
Where F is the force (N), m is the mass (Kg) and a is the acceleration (m/s^2, on a planet this would just be the gravity)
So if we know that a person has a mass of 3Kg and weighs 30N, the acceleration (or the gravity on that planet is)
[tex]30 = 3 \times a\\a = 10 m/s^2[/tex]
Now that we know the acceleration we can easily find the weight of the person.
[tex]F = 5 * 10 = 50 N[/tex]
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The students in Shawn's class got to choose whether to visit the zoo or the aquarium. 3 students went to the zoo and 15 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo?
A. 1:6
B. 1:1
C. 1:3
D. 1:5
Answer:
D. 1:5
Step-by-step explanation:
3 students went to the zoo
15 students went to the aquarium, which is no the zoo
students who went to the zoo : students who did not go to the zoo =
= 3:15
Now we simplify the ratio by dividing both numbers by 3.
= 1:5
Answer: D. 1:5
Question 5(Multiple Choice Worth 1 points) (03.03 LC) If a figure has been dilated by a scale factor of 4, which statement explains how a translation can be used to prove the figures are similar using the AA similarity postulate? A translation can map one side onto another since dilations preserve side lengths of triangles. A translation can map one angle onto another since dilations preserve angle measures of triangles. A translation can map the center of a triangle onto another since dilations preserve the location of the center of triangles. A translation can map the vertices of one triangle onto another since dilations preserve the size of triangles.
Answer:
A translation can map one angle unto another since dilations preserve angle measures of triangles
Step-by-step explanation:
The dilation of the figure by a scale factor of 4 gives an image that is 4 times the size of the original figure. However, the interior angles of the image and the original figure remain the same
A translation is a rigid transformation, such that the image and the preimage of a translation transformation have the same dimensions and angles
A translation of three consecutive non-linear points of the dilated image to the vertex and the two lines joining the corresponding point on the image, translates the angle at the given vertex
The above process can be repeated, to translate a second angle from the image to the preimage, from which it can be shown that the two figures are similar using Angle Angle, AA, similarity postulate
Answer:
A translation because it can map one angle onto another since dilations preserve angle measures of triangles.
Step-by-step explanation:
Solve each of the following exponential equations using common bases:
1.) 4^(3x+5)=8^(4x-3)
2.) 9^(2x+3)=〖(1/27)〗^(3x+1)
3.) 4^(x+6)∙8^(x-9)=64
Answer:
x=19/6, x=-9/13, x=33/4
Step-by-step explanation:
1) 2^(6x+10)=2^(12x-9), 6x+10=12x-9, x=19/6
2) 3^(4x+6)=3^(-9x-3), 4x+6=-9x-3, x=-9/13
3) 2^(x+6)*2^(3x-27)=2^(6), 4x-27=6, x=33/4
RSM wants to send four of its 18 Math Challenge teachers to a conference. How many combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan?
Answer:
1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.
Step-by-step explanation:
The order in which the teachers are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
1 from a set of 2(Either Mrs. Vera or Mr. Jan).
3 from a set of 18 - 2 = 16. So
[tex]C_{2,1}C_{16,3} = \frac{2!}{1!1!} \times \frac{16!}{3!13!} = 1120[/tex]
1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.
answer all three please
Answer:
Triangular prism
Volume = 100cm³
Rectangular prism
Volume = 480³
Total volume of Composite Figure 580cm³
Step-by-step explanation:
Algebra
factorize
a4 - 3a2b2 + b4
Answer:
The term a⁴-3a²b²+b⁴ can't be factorised
Explain how the concepts of perimeter and circumference are related
A window
A door
A carpet
A fence
Answer:
A fence
Step-by-step explanation:
Multiply reciprocal of (-4/5) and 25/16 and add additive inverse of (-4/5) we get _____________
Luz made a semicircular pendant with a radius of 8 centimeters to use on a key chain. She attached a wire around the edge of the pendant.
What is the approximate length of the wire she attached to the pendant?
41.13
50.27
The approximate length of the wire she attached to the pendant is 50.27
What is the approximate length of the wire she attached to the pendant?The radius is given as:
r = 8 cm
The approximate length of the wire she attached to the pendant is calculated as:
Length = 2pi r
Where
pi = 3.14
So, we have:
Length = 2 * 3.14 * 8
Evaluate the product
Length = 50.24
Hence, the approximate length of the wire she attached to the pendant is 50.27
Read more about circumference at:
https://brainly.com/question/14283575
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Answer: The answer is 41.13.
Step-by-step explanation: I took the quiz and none of the other answers were correct.
Total rs 5000 amount shared between sunil and raj in ratio 3:2
Answer:
Sunil = 3000 and raj = 2000
Step-by-step explanation:
there are total 5000 and if it will be divided into 5 parts( total of ratio ) then 3 will be equal to 3000 and 2 equal to 2000
In the picture below, which lines are lines of symmetry for the figure?
A. 1 and 3
B. 2 and 4
C. 1, 2, and 3
D. none
Answer:
None
Step-by-step explanation:
No lines can be folded over to match up with the opposite side
On a coordinate plane, a curved line with a minimum value of (negative 2.5, negative 12) and a maximum value of (0, negative 3) crosses the x-axis at (negative 4, 0) and crosses the y-axis at (0, negative 3).
Which statement is true about the graphed function?
F(x) < 0 over the interval (–∞, –4)
F(x) < 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –4)
Answer:
f(x) > 0 over the interval (–∞, –4)
Step-by-step explanation:
We know that:
Our curve has a minimum at (-2.5, -12)
Our curve has a maximum at (0, - 3) (I assume that is a local maximum).
We know that the curve crosses the x-axes at (-4, 0)
We know that the curve crosses the y-axis at (0, -3)
Notice that when our curve crosses the x-axis at (-4, 0), it goes from above the axis to below the axis.
How we know this?
Remember that "crossing" the x-axis means that the sign of f(x) changes.
At the value x = -2.5 (which is larger than x = -4) the function is negative.
f(-2.5) = -12
and:
f(-4) = 0
So we can see that after f(x) crosses the x-axis at x = -4, the function is negative.
This means that before that point, the function must be positive.
So for values of x smaller than -4, the function should be larger than zero.
f(x) > 0 if x < -4
From this, we can conclude that in the range (-∞, –4), the function is above the x-axis.
Then we would write this as:
f(x) > 0 over the interval (–∞, –4)
The correct option is the last option.
Answer:
Its D
Step-by-step explanation:
40 POINTS I’ll give brainlist
Answer:
I don't understand the equation, please state it differently
Find the area of sector TOP in (O using the given information. Leave your
answer in terms of π.
13. r = 5 m, m = 90 degrees
Answer:
Pls give me the answers as soon as possible and make sure that the answers are correct.
Plz help me to find the answer to 4th question..plz help me
Answer:
I got that AE^2 = 8EC^2
Step-by-step explanation:
Here's what I did. I probably did this wrong, but this might give you an idea on how to solve it.
First, create equations:
AB = BC = AC = DE = 2EC
BD= BC = EC
Then, I used pythagorean theorem (since AD is perpendicular to BC): AD^2 + DE^2 = AE^2
Substitute: (2EC)^2 + (2EC)^2 = AE^2
Simplify: 4EC^2 + 4EC^2 = AE^2
AE^2 = 8CE^2
Describe the effort of translating tringle abc to tringle a'b'c
Answer:
Each x-coordinate increased by 6 and each y-coordinate decreased by 3.
Step-by-step explanation:
Let us use the coordinates of a and a' as an example
a = (-3, 5) a' = (3, 2)
So -3 is for the x-axis in coordinate a and 3 is for the x axis in coordinate a'
Then -3 + 6 = 3 ( This is the x coordinate for a' )
So 5 is for the y -axis in coordinate a and 2 is for the y axis in coordinate a'
Then 5 - 3 = 2 ( This is the y coordinate for a' )
HOPE THIS HELPED
If yk please help thank you
Answer: No real solution
Step-by-step explanation:
Times for an ambulance to respond to a medical emergency in a certain town are normally distributed with a
mean of 450 seconds and a standard deviation of 50 seconds.
Suppose there are 97 emergencies in that town.
In about how many emergencies are the response times expected between 400 seconds and 500 seconds?
31
33
47
66
Answer:
66
Step-by-step explanation:
The Empirical Rule states that 68% of data is between 1 standard deviation in a dataset of normal distribution, 95% falls between 2 standard deviations, and 99.7% between 3.
The mean is 450, and one standard deviation is between 450 ± 50 = 400 and 500. Therefore, we can say that 68% of the data falls between 400 and 500 seconds.
The data includes 97 emergencies, so we just need to find 68% of that, which is 0.68*97 = 65.96 (rounding up to 66)
There are 66 emergencies are the response times expected between 400 seconds and 500 seconds.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
mean = 450 sec
standard deviation = 50 sec
Hence, We get;
450-50 =400
450+50=500
Now, In Between 400 sec and 500 sec means one deviation above and one deviation below the mean, and it is 68%.
68% = 0.68
Thus,
0.68 x 97 = 65.96 ≈ 66
Learn more about the addition visit:
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Find the square root of 167281 by division method
Answer:
square root of 167281 is 409
Here's the Step-by-step explanation using division:
