Answer:
Step-by-step explanation:
Begin by dividing both sides by -4 to get:
[tex]\frac{\sqrt{2} }{2}=sin2\theta[/tex] and then take the inverse sin of both sides to get
[tex]sin^{-1}(\frac{\sqrt{2} }{2})=2\theta[/tex] (the inverse sin undoes the sin on the right). Now we need to look on our unit circle to find the angles where [tex]sin(\frac{\sqrt{2} }{2})[/tex] is positive. There are 2 places. Sin is positive in both QI and QII. The angles are
[tex]\frac{\pi}{4},\frac{3\pi}{4}[/tex]. Therefore, our 2 equations are
[tex]\frac{\pi}{4}=2\theta[/tex] and [tex]\frac{3\pi}{4}=2\theta[/tex]. Solving the first equation:
[tex]\theta=\frac{\pi}{8}[/tex]
and the second equation:
[tex]\theta=\frac{3\pi}{8}[/tex]
please i just need number 2 a b and c pleaseeeeeee
Answer:
i dont care
Step-by-step explanation:
irdc
REALLY NEED HELP. WILL GIVE BRAINLIEST.
Answer:
Question 1
Blank 1: 24m
Blank2: 42n
Question 2
Blank 1
164,340
Answer:
1rst Blank: 24 m
second blank :42
question 2 , Blank 1 : 164 , 340
I hope this helps!
find the value of x (URGENT/GIVING BRAINLIEST)
Answer:
x=25
Step-by-step explanation:
The angles 126 and (5x+1) are equal. The equation that is used is 5x+1=126.
To solve the equation, subtract 1 from both sides
5x+1-1=5x 126-1=125.
Simplify the equation. 5x=125
Divide both sides by 5. 5x/5=x 125/5=25
You would get x=25 eventually.
Find the distance between the points (15,-6) and (10,3). I need to show my work PLEASE HURRY 15 points CORRECT ANSWERS ONLY PLEASE
Step-by-step explanation:
d = √(15-10)²+(-6-3)²
=√5²+(-9)²
= √25+81
=√106
10.3 units
is 0.2777775 an irrational number?
Answer:
an irational number is a number that can't be represented as a fraction but
0.2777775 can be represented as the fraction
111111 /400000
so no its not
Hope This Helps!!!
Vanderbilt University has this data set: 305, 315, 285, 285, 290, 280, 300, 310, 310, 315, 305
The MEAN of this data set is
Answer:
300
Step-by-step explanation:
305
[tex]305 + 305 + 315 + 315 + 285 + 285 + 310 + 310 + 290 + 280 + 300 = 3300 \div 11[/tex]
Find the area of the decagon.
Answer:
A=5/2a^2(5+2√5)
Step-by-step explanation:
Help !!!!!!!!!!!!!!!!!!!!!!!
Answer:
<ADB = 75 degrees
Step-by-step explanation:
We know, a straight line has an angle of 180 degrees.
A = (180-143) = 37 degrees.
A + C = (37 + 38) = 75 degrees.
The angles of a triangle will always add up to 180 degrees.
<ADC = (180-75) = 105 degrees.
So,
<ADB = (180-105) = 75 degrees.
Hope, this will help. Please mark me brainliest.
Thank you.
You roll two six-sided dice numbered from one through six. What is the probability that the sum of the two dice is greater than or equal to six? Round your answer to two decimal places.
Answer:
ok so so here are the numbers equal to 6
1,5
5,1
2,4
4,2
3,3
so five options and there are 36 possible outcomes(6*6)
so 5/36 or 0.14
Hope This Helps!!!
The solution is, the probability that the sum of the two dice is greater than or equal to six is 0.14.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we get,
You roll two six-sided dice numbered from one through six.
so here are the numbers equal to 6
1,5
5,1
2,4
4,2
3,3
so five options and there are 36 possible outcomes(6*6)
we get, sample space = 36
favorable outcome = 5
probability = 5/36
so 5/36 or 0.14
To learn more on probability click:
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Need help plz thanks
Answer:
x= 128
Step-by-step explanation:
x and 128 are vertical angles and vertical angles are equal
x= 128
Find the value of unknown angles.
Х
50
Answer:
[tex]x = 70^o[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Find x
To solve for x, we make use of:
[tex]x + 50^o + 60^o = 180^o[/tex] --- angles in a triangle
[tex]x + 110^o = 180^o[/tex]
Collect like terms
[tex]x = 180^o-110^o[/tex]
[tex]x = 70^o[/tex]
The measure of the angle turns through 1 over 9 of the cicle the angle measure can be found using the expressions
Answer:
1-9 the answer is -8of the circle
Step-by-step explanation:
solve all for brainiest
Answer:
a =55
b =16
c = 25
d = 9
Step-by-step explanation:
of means multiply is means equals
20% of a is 11
.20 a = 11
Divide by .20
a = 11/.20
a=55
75% of b is 12
.75 b =12
Divide by .75
b = 12/.75
b = 16
80% of c is 20
.80 c =20
Divide by .80
c = 20/.80
c =25
200% of d is 18
2.00 d = 18
Divide by 2.0
d = 18/2
d =9
You are interested in getting an investment portfolio started with any extra money you make from your part time job while also going to school. While flipping through the latest edition of Money magazine, you read an article that of a survey of magazine subscribers, 164 were randomly selected and analyzed. A 95% confidence interval was constructed for the proportion of all subscribers who made money in the previous year in their investments, which was ( 0.6904 , 0.8218 ). What is the correct interpretation of this confidence interval
Answer:
We are 95% confident that the proportion of all Money magazine subscribers that made money in the previous year from their investments is between 0.6904 and 0.8218
Step-by-step explanation:
The confidence interval gives a range of values for which a population proportion will fall based on a given level of confidence, in this case it is 95%. This interval is calculated using the sample proportion. The sample proportion in this case is based on a number of samples examined. The interval we obtain in this case (0.6904; 0.8218) is the estimated range which we expect the population proportion to fall ; with a 95% confidence.
true or false? like terms have the same variable and the same exponent.
Hiện nay mẹ hơn con 24 tuổi cách đây 3 năm tuổi con bằng 1/4 tuổi mẹ tính tuổi của con
Answer:
mẹ 35 tuổi con 11 tuổi
Step-by-step explanation:
8) Solve the system of equations by substitution
y = x + 2
3x + y = 10
Answer:
(2, 4)
Step-by-step explanation:
y = x + 2
3x + y = 10
3x + (x + 2) = 10
4x + 2 = 10
4x = 8
x = 2
y = (2) + 2
y = 4
Step-by-step explanation:
3x + y = 10
substituting the value of y = x + 2
=>3x + x+2 = 10
=>4x= 10-2
=>4x= 8
=>x= 8/4
=>x= 2
And, y= 2+2 = 4
Susan made $208 miles in 13 hours. At the same rate, how many hours would she have to work to make $114
Find the area of a circular pool whose radius is 2 meter.
Answer:
Step-by-step explanation:
area of a circular pool=πr^2
=3.14*(2)^2
=3.14*4
=12.56 m^2
Answer:
12.56 inches squared
Step-by-step explanation:
Radius= 2
Diameter= 4 (double the radius)
Pi= 3.14
Formula for finding area of circle= Pi x r squared
2 x 2= 4 (to find diameter)
4 x 3.14= 12.56
(to find area)
:)
2. Use (<, >, =) to compare 23 and 34.
Answer:
Step--step explanation:
2/3 = 0.67
3/4= 0.75
So 2/3 < 3/4
Answer:
Option B is correct.
Step-by-step explanation:
[tex] \frac{2}{3} = 0.6666....[/tex]
[tex] \frac{3}{4} = 0.75[/tex]
[tex]0.666... < 0.75[/tex]
[tex]∴ \frac{2}{3} < \frac{3}{4} [/tex]
Hope it is helpful...Choose the best answer. If necessary, Question 12,9,16,1, 6,5, 84 What is the median of the data set shown?
Answer:
The median of this problem is 9
Desenați cinci puncte coliniare a b c d e în această ordine așa încât AB egal 5 cm BC egal 5 mm CD egal 15 mm și d egal 0,7 dm
A Aflați lungimile segmentelor ac ad ae bd be ce
B Calculați ac + ce - ae ; ad-bd
C A câta parte din lungimea segmentului AE reprezintă lungimea segmentului ad dar DB
Answer:
me no speak espanol sorry
(102)^2-(98)^2
Factories it
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{102^2 - 98^2}[/tex]
[tex]\mathsf{102^2}[/tex]
[tex]\mathsf{= 102\times 102}[/tex]
[tex]\boxed{\mathsf{= \bf10,404}}\large\checkmark[/tex]
[tex]\mathsf{\bold{10,404} - 98^2}[/tex]
[tex]\mathsf{98^2}[/tex]
[tex]\mathsf{= 98\times 98}[/tex]
[tex]\boxed{\mathsf{=\bf 9,604}}\large\checkmark[/tex]
[tex]\mathsf{10,404 - \underline{9,604} = \boxed{\bf800}}\large\checkmark[/tex]
[tex]\rightarrow\mathsf{102^2 - 98^2 = \boxed{\bf 800}}\large\checkmark[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 800}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Suppose you obtain a $3,000 T-note with a 3% annual rate and maturity in 5 years. How much interest will you earn?
Tom used the following steps to find the inverse of f(x), but he thinks he made an error.
Answer:
4
Step-by-step explanation:
He made the mistake in step 4
The correct step should be x +2 as two had the sign "-" when it was on the other side
Tom made a mistake in step 4, and to correct the mistake he should add 2 on both sides in step 4.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
Step 1: f(x) = 4x - 2
Step 2: y = 4x - 2
Step 3: x = 4y - 2
Step 4: x + 2 = 4y (add 2 on both sides)
Thus, Tom made a mistake in step 4, and to correct the mistake he should add 2 on both sides in step 4.
Learn more about the function here:
brainly.com/question/5245372
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Use the Normal model N(1112,56) for the weights of steers.
a) What weight represents the 66th percentile?
b) What weight represents the 94th percentile?
a) The weight representing the 66th percentile is pounds.
(Round to the nearest whole number as needed.)
b) The weight representing the 94th percentile is pounds.
(Round to the nearest whole number as needed.)
Answer:
See below for answers
Step-by-step explanation:
a) invNorm(0.66,1112,56) = 1153.097936 ≈ 1153 lbs
b) invNorm(0.94,1152,56) = 1199.067321 ≈ 1199 lbs
A bag contain 5 red marbles, 4 blue marbles and 6 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be red?
Answer:
2/91.
Step-by-step explanation:
There are 15 marbles in the bag.
Prob(First draw is red) = 5/15 = 1/3.
Prob(Second draw is red) = 4/14 = 2/7.
Prob(Third draw is red) = 3/13.
So probability that all 3 are red = .1/3 * 2/7 * 3/13
= 6/273
= 2/91.
The systolic blood pressure (BP) of adults in the USA is nearly normally distributed with a mean of 121 and standard deviation of 16 . Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher. (a) Around what percentage of adults in the USA have stage 2 high blood pressure
Answer:
Around 0.73% of adults in the USA have stage 2 high blood pressure
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 121 and standard deviation of 16.
This means that [tex]\mu = 121, \sigma = 16[/tex]
Around what percentage of adults in the USA have stage 2 high blood pressure
The proportion is 1 subtracted by the p-value of Z when X = 160. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{160 - 121}{16}[/tex]
[tex]Z = 2.44[/tex]
[tex]Z = 2.44[/tex] has a p-value of 0.9927.
1 - 0.9927 = 0.0073
0.0073*100% = 0.73%
Around 0.73% of adults in the USA have stage 2 high blood pressure
Rachael bought a snorkel and ear plugs for shallow diving. The snorkel cost $28.96, and the ear plugs cost $2.56. The sales tax of both items is 5%. How much did she pay in total?
Answer:
$33.10
Step-by-step explanation:
$28.96 + $2.56 = $31.52
$31.52 * .05 = $1.576 (round up) $1.58
$31.52 + $1.58 = $33.10
Answer:
Step-by-step explanation:
Total without sales tax
Snorkel = 28.96
Ear Plugs 2.56
Total 31.52
Sales tax = 5% of Total = 5/100 *31.52
Sales tax = 1.58 Rounded.
Total purchase = 33.10
Karly buys a model car for $64. Then she spends 2 times as much on supplies to build the model car. How much does Karly spend altogether?
Answer:
192
Step-by-step explanation:
Supplies = 2 model cost
= 2*64 = 128
Total cost = model + supplies
= 64 + 128
=192