Answer: 7/8
Cos2x has 3 formulas, Sinx is given in the question, we should use the formula with sinus. I guess that's the solution.
Multiply the binomials:
(y+2)•(y+9)
Answer:
y² + 11y + 18
Step-by-step explanation:
y² + 9y + 2y + 18
y² + 11y + 18
Which of the expressions below is equivalent to
4x²
12x2 - 4
X
x²
3x²
3x
4
1
12x
1
12
A
B
D
Answer:
The choose (B)
[tex] \frac{4 {x}^{2} }{12 x^{2} - 4 } \\ \frac{4 {x}^{2} }{4(3 {x}^{2} - 1)} \\ \frac{ {x}^{2} }{3 {x}^{2} - 1} [/tex]
Please help ASAP!!!!
========================================================
Explanation:
The two points mentioned in bold are midpoints of segments AB and AC respectively.
To find the coordinates of a midpoint, you add up the x coordinates and divide by 2. Do the same with the y coordinates.
For example, points A and B are at (7,6) and (1,-2)
If we add up the x coordinates and divide by 2, then we get (7+1)/2 = 4. Do the same for the y coordinates to get (6+(-2))/2 = 2. So that's how (4,2) is the midpoint of segment AB. You'll use similar logic to find that (8,2) is the midpoint of segment AC.
A slight alternative is that once you find one midpoint is (4,2), you can draw a horizontal line until you reach (8,2). We're using the idea that the midsegment is parallel to BC which is also horizontal.
Find the values of the variables and please give the reasons
180 ÷3 = 60 ° (angles on a straight line equals to 180 ° )
a+b+60 =180°
a+ b= 180 ° - 60° = 120°
(a+b) are 2 variables
so 120 ÷2 =60 °
therefore a and b =60 °
c +b+ 60° = 180° ( co - interior angles are supplementary angles )
c+60° +60° =180°
c +120° =180°
c =180°-120°
c=60 °
d=60° (alternate angles are equal )
or
c+b+d=180°
60° +60° + d = 180°
d=180°-120°
d=60°
Solve the inequality.
-14> x-32
A. x>18
B. x< 46
C. x<-46
D. x < 18
Answer:
Option D
Step-by-step explanation:
-14 > x - 32
Add 32 to both sides;
18 > x OR x < 18
What is the value of y?
Answer:
C, 40 degrees
Step-by-step explanation:
All the angles of a triangle add to 180 degrees according to the Triangle Sum Theorem.
Since all angles sum to 180, we can set all the values to add to 180.
We have:
[tex]2y+y+10+50=180[/tex]
Combining like terms, we have:
[tex]3y+60=180[/tex]
Subtracting 60 from both sides gets us
[tex]3y=120[/tex]
Dividing by 3 from both sides equals
[tex]y=40[/tex]
Answer:
I think the value of y is 40
Step-by-step explanation:
Here, 2y+ y+ 10+50=180°( sum of all angles of triangle)or, 3y+ 60=180or, 3y=180-60or, 3y=120or, y= 120÷3:.y= 40Brian rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is prime
The sum of the faces is going to fall in the range {2, 3, 4, …, 12}, which contains five prime numbers {2, 3, 5, 7, 11}. You can only have one sum at a time, so these outcomes are mutually exclusive. Then
Pr[sum is prime] = Pr[sum = 2] + Pr[sum = 3] + … + Pr[sum = 11]
• sum = 2 can only happen in 1 way (1 + 1)
• sum = 3 can happen in 2 ways (1 + 2, 2 + 1)
• sum = 5 can happen in 4 ways (1 + 4, 2 + 3, 3 + 2, 4 + 1)
• sum = 7 can happen in 6 ways (1 + 6, 2 + 5, …, 6 + 1)
• sum = 11 can happen in 2 ways (5 + 6, 6 + 5)
There are a total of 6² = 36 possible sums that can be rolled, each with probability 1/36 of occurring, so the probability of getting a prime sum is
(1 + 2 + 4 + 6 + 2)/36 = 15/36 = 5/12
What is the interquartile range of the following data set? 78,90,456,676,111,381,21
Answer
The IQR of the data set is 368.
Explanation
To find the interquartile range, you first need to find the median of the data set. Then, you find the median of the median and subtract them. This might be a little confusing but I'll walk through everything.
First, put the data set in order from least to greatest; 21 78 90 111 381 456 676. Find the median. The median of this data set is 111, since it is the middle number when the data set is ordered from least to greatest.
To find the Q1 and Q3 of the set, you have to find the median of the median.
The set right now is 21 78 90 111 381 456 676. Remove the 111 (if there were an even amount of numbers in the set, you wouldn't remove the 111 and you would just split the data set in half). Now you have two sets: 21 78 90 and 381 456 676. The median of the first set is 78 (this is the Q1) and the median of the second set is 456 (this is the Q3).
To find the interquartile range, subtract the Q1 from the Q3. 456-78=368.
write 7 pi divided by 60 in degrees
Answer:
You have reached the concluding section of our information about (7/60)×π rad to deg.
7pi/60 rad = 21°.
The radian measure is the standard unit of measure in the areas of math involving a circle like the sine and cosine function, just to name two trigonometric functions.
Using our calculator, formula and information, you have everything for changing the angle measurement at your disposal.
If you have found our post searching for 7pi/60 radian to degrees or a similar term, then you have gotten your answer as well: 7pi/60 rad ⇔ 21°.
Answer:210
Step-by-step explanation: took the test
HELPPPP PLSSSS Which is true about the polynomial ? It is a binomial with a degree of 2. It is a binomial with a degree of 3. It is a trinomial with a degree of 2. It is a trinomial with a degree of 3.
i am not getting it what are you asking
The length of the sides of a triangle are 1115 and 20 classify the triangle
Answer:
isocles
Step-by-step explanation:
The sides are not equal
which of the following is not an outcome for JUK ?
Answer:
it would be B
Step-by-step explanation:
PLS HELP ME ITS EASY JUST WANT TO MAKE SURE IM RIGHT Calculate the answer to the correct number of significant figures: (1.705 + 0.5067) / (0.2 * 1.243) = ______.
8.897
8.8966
8.9
9
8.90
Answer:
8.90
Step-by-step explanation:
this and the other answers are the rounded ones
A student bought 84 pencils. If he sharpened 35 pencils, what is the ratio of the unsharpened pencils to the sharpened pencils?
Hello!
Sharpened => 35
Unsharpened => 84-35 = 49
49:35= 7:5Good studies!
Answer:
7: 5
Step-by-step explanation:
unsharpened to sharpened
First we need to determine the number of unsharpened
84 - 35 =49
There are 35 sharpened
49:35
Divide each by 7
49/7 : 35/7
7: 5
Solve for x. X/5-x/6=1/3 x = 10 x = 1/90 x = 1/10
Answer:
x=10
Step-by-step explanation:
I hope this will help you
Determine the constant of variation for the direct variation given. (0, 0), (3, 12), (9, 36)
12
4
3
Answer:
4
Step-by-step explanation:
y = kx
Use point (3, 12).
12 = k * 3
k = 12/3 = 4
y = 4x
Answer: 4
Divide y by x:
12/3 = 4
36 / 9 = 4
The constant of variation is 4
What is an approximate average rate of change of the graph from X =22 and x = 26
Answer:
it is (22+26)/2=24
Step-by-step explanation:
Sally is serving lemonade to four friends. She is serving 4/7 cup per person.
Estimate how much lemonade she needs. Then calculate exactly how much she needs. What is the difference between the estimate and actual amount?
pls help, :)
Answer:
oi ngl levi is hawt I like your pfp ^^
Step-by-step explanation:
my name is Riley
HELP?p?P?p?p?p?P?P?p?p?p?p?P?p?p?p?p?p?p?pp?p?p?P
Answer:
Yes, its a rational number.
Step-by-step explanation:
Rational numbers can be whole numbers, fractions, and decimals, and in this case it is a decimal.
Hope this helped!
Answer: yes
Step-by-step explanation:
yes 1.86 is a rational number
CAN SOMEONE PLEASE HELP ME!!!! I NEED THIS AND I DO NOT GET IT AT ALL
Answer:
LN ≈ 14.2
Step-by-step explanation:
Given that the triangles are similar then corresponding sides are in proportion, that is
[tex]\frac{LN}{IK}[/tex] = [tex]\frac{MN}{JK}[/tex] , substitute values
[tex]\frac{LN}{41}[/tex] = [tex]\frac{9}{26}[/tex] ( cross- multiply )
26 LN = 9 × 41 = 369 ( divide both sides by 26 )
LN = [tex]\frac{369}{26}[/tex] ≈ 14.2 ( to the nearest tenth )
What is the initial value of 34.2 x 3^x
Initial value is your y intercept, and to find that you just need to substitute 0 for x. Anything to the power of 0 is just 1. So you get 34.2(1), which means that your initial value is 34.2.
Colin drove 45 minutes to the airport. He arrived 90 minutes before his flight departed, and then he spent 70 minutes in the air. Once he landed, Colin spent 20 minutes gathering his luggage, and then he drove 35 minutes to his hotel. What must be true of any expression that represents the total time that Colin spent traveling from his house to the hotel?
Prachi was 555 kilometers east of her home when she began driving farther east at 707070 kilometers per hour. Let f(n)f(n)f, (, n, )be Prachi's distance from her home at the beginning of the n^\text{th}n th n, start superscript, start text, t, h, end text, end superscript hour of her drive. fff is a sequence. What kind of sequence is it
Answer:
The answer is "[tex]\bold{f(n) = 70n + 5}[/tex]"
Step-by-step explanation:
The complete question is defined in the attached file Please find it.
She started driving further east, 70 kilometers an hour, 5 km east of her home. Allow f(n) at the outset of its nth hour drive to just be Prachi's length from home.
F is a series of arithmetic.
Construct the series with an explicit formula.
[tex]\bold{f(n) = 70n + 5}[/tex]
Answer:
Arithmetic and it is f(n)=5+70(n-1)
Step-by-step explanation:
Khan Academy
(⅔)-⁴ (two over three to the power minus 4)
I need answer asap pleaseeeee
Answer:
81/16
Step-by-step explanation:
(⅔)-⁴
81/16
= 5.0625
Plz help me with this thank you
Answers:
One possible equation to solve is tan(x) = 4/15That solves to roughly 15 degrees==============================================================
Explanation:
Refer to the diagram below.
The segment AB is the player's height of 6 ft.
The segment CD is the hoop's height, which is 10 ft.
There is a point E on CD such that rectangle BACE forms. This will help us form ED later.
Angle EBD is what we're after, which I'll call x.
Since the free throw line is 15 ft from the basket, this means segments EB and AC are 15 ft each.
In rectangle BACE, the side EC is opposite AB. So both of those sides are 6 ft each.
Since CD = 10 and EC = 6, this must mean ED = CD-EC = 10-6 = 4.
---------------------------------------
To summarize, we found that ED = 4 and EB = 15.
We'll focus our attention entirely on triangle EBD
We have two known legs of the triangle, specifically the opposite and adjacent sides.
So we'll use the tangent ratio.
tan(angle) = opposite/adjacent
tan(B) = ED/EB
tan(x) = 4/15 .... is the equation to solve
x = arctan(4/15) .... same as inverse tangent or [tex]\tan^{-1}[/tex]
x = 14.931417 ..... make sure to be in degree mode
x = 15 ..... rounding to the nearest whole degree
So that unknown angle in the diagram is approximately 15 degrees
10. Two planes are flying one directly behind the other. Both planes are at an alttude of 1.7 miles. The angle
of depression to the airport from the plane closer to the airport is 58. The angle of depression to the
airport from the plane farther from the airport is 37. What is the distance between the two planes to the
nearest tenth of a mile?
A 1.0
B 23 -
C 12
D Not here
Can you answer this math homework? Please!
Answer:
Height is equal = Y = 1.8 X + 3.1 = 2.3 X + 1.9
=> 2.3 X - 1.8 X = 3.1 - 1.9
=> 0.5 X = 1.2
=> x = 1.2/0.5 = 2.4
Time = 2.4 weeks
Step-by-step explanation:
Answer:
2.4
Step-by-step explanation:
B) Construct a Rhombus MARS where MR = 6.8 cm & AS = 7 cm. Write the measurement of each side of Rhombus.
Answer:
Length = 4.88
Step-by-step explanation:
Given
[tex]MR = 6.8cm[/tex]
[tex]AS = 7cm[/tex]
First, we calculate the lengths of each side of the rhombus.
Diagonals of a rhombus are bisected at right-angled.
So, the lengths (x,y) of the right-angled triangle formed are:
[tex]x = \frac{1}{2}MR = \frac{1}{2} * 6.8 = 3.4[/tex]
[tex]y = \frac{1}{2}AS = \frac{1}{2} * 7 = 3.5[/tex]
The length of the sides (z) is calculated using:
[tex]z^2 = x^2 + y^2[/tex]
[tex]z^2 = 3.4^2 + 3.5^2[/tex]
[tex]z^2 = 11.56 + 12.25[/tex]
[tex]z^2 = 23.81[/tex]
Take square roots
[tex]z = \sqrt{23.81[/tex]
[tex]z = 4.88[/tex] --- approximated
write a fraction of the probability of rolling a multiple two
Answer: 1/2
Step-by-step explanation:
there are 6 sides all together and 3 of those are multiples of two. this fraction is 3/6 but that can be simplified to 1/2
Answer:
1/2
Step-by-step explanation:
For this we will be assuming a die size of six. With that in mind, all even numbers are divisible by two. There are a total of three numbers on a six sided die, those being two, four, and six. We then put this number over the total possibilities, which would be six. It is good form to simplify, which we can. We take three out from our 3/6 to leave us with 1/2.
which two consecutive integers does q lie
Answer:
it lies between P and R because I tootk the test