Please find the missing side of the triangle and round the answer to the nearest tenth. Thanks.
Answers
Answer:
x = 74.3
Step-by-step explanation:
Using the trigonometric ratio formula, the missing side, x, of the right angled triangle, can be found as follows:
Ѳ = 22°,
adjacent side length = x
Opposite side length = 30
Thus, we would apply the formula:
tan Ѳ = opposite length/adjacent length
[tex] tan 22 = \frac{30}{x} [/tex]
Multiply both sides by x
[tex] tan 22*x = \frac{30}{x}*x [/tex]
[tex] tan 22*x = 30 [/tex]
[tex] 0.4040*x = 30 [/tex]
Divide both sides by 0.4040 to make x the subject of the formula
[tex] \frac{0.4040*x}{0.4040} = \frac{30}{0.4040} [/tex]
[tex] x = \frac{30}{0.4040} [/tex]
[tex] x = 74.26 [/tex]
x ≈ 74.3 (to the nearest tenth)
Related Questions
Elif is arranging 28 chairs in rows in a room. Each row must be the same
length. The room is wide enough to make a row of 9 chairs, but no more
The room is deep enough to make 8 rows, but no more. What are the
possible numbers of rows and chairs in each row that Elif can make?
Answers
Answer:
Hey there!
Elif can only arrange the chairs like: 4 by 7, and 7 by 4.
Hope this helps :)
The relative frequency distribution of the number of phobias reported by a hypothetical sample of 500 college students is given as follows.
0–2 0.48
3–5 0.26
6–8 0.12
9–11 0.09
12–14 0.05
Required:
a. What is the probability that a college student expresses fewer than three phobias?
b. What is the probability that a college student expresses more than eight phobias?
c. What is the probability that a college student has between 3 and 11 phobias?
Answers
Answer:
a. 0.48
b. 0.14
c. 0.47
Step-by-step explanation:
Data provided in the question
0 - 2 0.48
3 - 5 0.26
6 - 8 0.12
9- 11 0.09
12- 14 0.05
Based on the above information
a. The probability for fewer than three phobias is
= P( x < 3)
= 0.48
b. The probability for more than eight phobias is
= P( x >8)
= 0.09 + 0.05
= 0.14
c. Probability between 3 and 11 phobias is
= P(3 < x < 11)
= 0.26 + 0.12 + 0.09
= 0.47
rounded to the nearest whole, what is the radius length if minor arcYZ = 12 and angleYXZ is one-third of a full circle? (i guessed it idk if it’s right)
Answers
Answer:
Option (1)
Step-by-step explanation:
Since the length of arc YZ = 12 units
m∠YXZ = one third of the full circle = [tex]\frac{360}{3}[/tex] = 120°
From the formula of arc length,
Length of arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]
Where θ = Central angle subtended by the arc
r = radius of the circle
By substituting these values in the formula,
12 = [tex]\frac{120}{360}(2\pi r)[/tex]
12 = [tex]\frac{2}{3}\pi r[/tex]
[tex]18=\pi r[/tex]
r = [tex]\frac{18}{\pi }[/tex]
r = 5.73
r ≈ 6 units
Therefore, Option (1) will be the answer.
According to an airline, flights on a certain route are on time 80% of the time. Suppose 17 flights are randomly selected and the number of on-time flights is recorded.
Required:
a. Explain why this is a binomial experiment.
b. Find and interpret the probability that exactly 11 flights are on time.
c. Find and interpret the probability that fewer than 11 flights are on time
d. Find and interpret the probability that at least 11 flights are on time.
e. Find and interpret the probability that between 9 and 11 flights, inclusive, are on time.
Answers
Answer:
a) Check Explanation
b) Probability that 11 out of the 17 randomly selected flights are on time = P(X = 11) = 0.0680
c) Probability that fewer than 11 out of the 17 randomly selected flights are on time
= P(X < 11) = 0.0377
d) Probability that at least 11 out of the 17 randomly selected flights are on time
= P(X ≥ 11) = 0.9623
e) Probability that between 9 and 11 flights, inclusive, out of the randomly selected 17 are on time = P(9 ≤ X ≤ 11) = 0.1031
Step-by-step explanation:
a) How to know a binomial experiment
1) A binomial experiment is one in which the probability of success doesn't change with every run or number of trials. (Probability of each flight being on time is 80%)
2) It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure. (It's either the flights are on time or not).
3) The outcome of each trial/run of a binomial experiment is independent of one another.
All true for this experiment.
b) Probability that exactly 11 flights are on time.
Let X be the random variable that represents the number of flights that are on time out of the randomly selected 17.
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = 17 randomly selected flights
x = Number of successes required = number of flights required to be on time
p = probability of success = Probability of a flight being on time = 80% = 0.80
q = probability of failure = Probability of a flight NOT being on time = 1 - p = 1 - 0.80 = 0.20
P(X = 11) = ¹⁷C₁₁ (0.80)¹¹ (0.20)¹⁷⁻¹¹ = 0.06803777953 = 0.0680
c) Probability that fewer than 11 flights are on time
This is also computed using binomial formula
It is the probability that the number of flights on time are less than 11
P(X < 11) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0376634429 = 0.0377
d) Probability that at least 11 out of the 17 randomly selected flights are on time
This is the probability of the number of flights on time being 11 or more.
P(X ≥ 11) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17)
= 1 - P(X < 11)
= 1 - 0.0376634429
= 0.9623365571 = 0.9623
e) Probability that between 9 and 11 flights, inclusive, are on time = P(9 ≤ X ≤ 11)
This is the probability that exactly 9, 10 or 11 flights are on time.
P(9 ≤ X ≤ 11) = P(X = 9) + P(X = 10) + P(X = 11)
= 0.0083528524 + 0.02672912767 + 0.06803777953
= 0.1031197592 = 0.1031
Hope this Helps!!!
What is the slope of the line between (−4, 4) and (−1, −2)?
Answers
Answer:
-2
Step-by-step explanation:
The slope of a line is
m = (y2-y1)/(x2-x1)
= (-2 -4)/(-1 - -4)
= -6/ ( -1 +4)
= -6 /3
=-2
Answer:
[tex]= - 2 \\ [/tex]
Step-by-step explanation:
[tex]( - 4 \: \: \: \: \: \: \: \: \: \: \: 4) = > (x1 \: \: \: \: \: \: y1) \\ ( - 1 \: \: \: \: - 2) = > (x2 \: \: \: \: \: \: y2)[/tex]
Now let's find the slope
[tex]slope = \frac{y1 - y2}{x1 - x2} \\ = \frac{4 - ( - 2)}{ - 4 - ( - 1)} \\ = \frac{4 + 2}{ - 4 + 1} \\ = \frac{6}{ - 3} \\ = - 2[/tex]
hope this helps you.
brainliest appreciated
good luck! have a nice day!
Find the measure of each angle: Supplementary angles with measures (2x+3)° and (3x+2)°.
Answers
Answer: 73 degrees and 107 degrees.
Step-by-step explanation:
The total of supplementary angles are 180 degrees. So you add 2x+3 and 3x+2. Then you get 5x+5=180.
Subtract 5 from both sides. Now the equation is 5x=175.
Divide 5 on each side. x=35
Replace x with 35 in the equations. The angles are 73 and 107.
They both add up to 180 degrees so it is correct.
find the probability of being delt 5 clubs and 3 cards with one of each remaining suit in 8 card poker
Answers
Answer: 0.003757(approx).
Step-by-step explanation:
Total number of combinations of selecting r things out of n things is given by:-
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Total cards in a deck = 52
Total number of ways of choosing 8 cards out of 52 = [tex]^{52}C_8[/tex]
Total number of ways to choose 5 clubs and 3 cards with one of each remaining suit = [tex]^{13}C_5\times^{13}C_1\times^{13}C_1\times^{13}C_1[/tex] [since 1 suit has 13 cards]
The required probability = [tex]=\dfrac{^{13}C_5\times^{13}C_1\times^{13}C_1\times^{13}C_1}{^{52}C_8}[/tex]
[tex]=\dfrac{\dfrac{13!}{5!8!}\times13\times13\times13}{\dfrac{52!}{8!44!}}\\\\=\dfrac{24167}{6431950}\\\\\approx0.003757[/tex]
Hence, the required probability is 0.003757 (approx).
Hurrryy!!!
What is the value of x in the solution to the system of linear equations?
y=3x+2
y=x-4
O-7
O-3
0 1
O 5
Answers
Answer:
-3
Step-by-step explanation:
I'm not sure what the 0s are all about, but I can help with the equation;
To do this, we can do substitution. By equaling x-4 to 3x+2, we get
x-4=3x+2
By isolating the x, we get
-2x=6
x=-3
Hope this helped!
The radius of a sphere is 3 inches. Which represents the volume of the sphere?
12 cubic inches
362 cubic inches
647 cubic inches
817 cubic inches
Answers
Answer:
Volume of the sphere= 113.112 cubic inch(Inch ³)
Step-by-step explanation:
First of all the formula for the volume of a sphere Is given as 4πr³
Already the radius r is already given as 3 inches
While π = 3.142
Volume of the sphere = 4/3πr³
Volume of the sphere = 4/3(3.142)(3)³
Volume of the sphere= 4/3(3.142)(27)
Volume of the sphere= 4/3(84.834)
Volume of the sphere= 339.336/3
Volume of the sphere= 113.112 Inch ³
Volume of the sphere= 113.112 cubic inch
The public radio show "A Prairie Home Companion," features news from the fictional town of Lake Wobegon, MN, home to many Norwegian bachelor farmers, and where "all the women are strong, all the men are good looking, and all the children are above average." Suppose average means average for the town. Such a town could not possibly exist, because (select all that apply)
a. not all women are strong
b. not all the children can be above average
c. not all Norwegian bachelor farmers are good looking
d. half the children must be below average
Answers
Answer:
b. not all the children can be above average
d. half the children must be below average
Step-by-step explanation:
In theory, all women could be strong and all men could be good looking, however, since the average is calculated based on the town children, it is not possible for all children to be above average.
Assuming a normal distribution, half the children must be at or below average, while the other half must be at or above the average.
Therefore, the correct answers are:
b. not all the children can be above average
d. half the children must be below average
Answer:
Second and last options are correct choices.
Step-by-step explanation:
If all the children are above average, then the average should not include the average of the children. Because it is impossible for a data set to be have values greater than it's average.
Best Regards!
Solve for X. (nearest WHOLE degree)
Answers
Answer:
x = 32°Step-by-step explanation:
To solve for x we use sine
sin ∅ = opposite / hypotenuse
From the question
38 is the hypotenuse
20 is the opposite
So we have
sin x = 20/38
sin x = 10/19
x = sin-¹ 10/19
x = 31.75
x = 32° to the nearest degreeHope this helps you
A taxi charges a flat rate of $3.00 plus $1.50 per mile. If Xander has $45.00, which inequality represents m, the distances in miles he can travel in the taxi? m less-than-or-equal-to 10 m greater-than-or-equal-to 10 m less-than-or-equal-to 28 m greater-than-or-equal-to 28
Answers
Answer:
m less-than-or-equal-to 28
Step-by-step explanation:
Xander's charge for m miles will be (3 +1.50m). He wants this to be no more than $45, so ...
3 +1.50m ≤ 45
1.50m ≤ 42 . . . . . . subtract 3
m ≤ 28 . . . . . . . . . .divide by 1.5
Answer: M is less than or equal to 28 or C
Step-by-step explanation:
GOT RIGHT ON E D G
You can retry this question below
A6 inch personal pizza has 610 calories, with 240 of those from fat. A 12 inch pizza is cut into 8 slices.
Estimate the number of calories in one slice of a 12 inch pizza.
Answers
Answer:
305 calories, 120 from fat
Step-by-step explanation:
The ratio of the area of the larger pizza to that of the smaller pizza is the square of the ratio of the diameters. So, the larger pizza has an area that is ...
(12/6)² = 4
times that of the smaller pizza. When that area is divided into 8 parts, each part has an area that is 4/8 = 1/2 the area of the smaller pizza.
We expect a slice of the larger pizza to have 1/2 the calories of a smaller pizza, so 305 calories, 120 from fat.
__
610/2 = 305; 240/2 = 120.
Pleaseeeeeee helppppppp
Answers
Answer:
[tex]\boxed{Option \ D}[/tex]
Step-by-step explanation:
The combination of a rational number (3) and an irrational no. ([tex]4i[/tex]) is called a complex number.
So,
[tex]3+4i[/tex] is a complex no.
Answer:
D. Complex number.
Step-by-step explanation:
This number is not irrational, since 3 is rational.
The number is not entirely rational, since 4i is irrational.
The number is not real because i is not real.
So, the number is a Complex number, since it includes both real and nonreal numbers.
Hope this helps!
You and 3 of your friends decide to sell lemonade around town, and then split the money you make evenly. You decide to sell each cup of lemonade for 50 cents. In total, you all sell 120 cups of lemonade. How much money will each of you earn? Write an expression for the problem too.
Expression:
Answers
Answer:
$15
Step-by-step explanation:
Each cup is 50 cents which is basically $0.50
Multiply $0.50 by 120= $60
Because you and your three friends equal 4 total people,
divide 60 by 4 to get your own profit:
60/4=15
3. What is the explicit formula for the arithmetic sequence 2, 7, 12, 17, ...?
Answers
Step-by-step explanation:
The given sequences are;
2,7,12,17......
difference =5
by using formula,
we get,
tn=a+(n-1)d
tn= 2+(n-1)5
Therefore, tn is 5n-3 is required formula for this arithmetic sequences.
Hope it helps....
Beverly drove from the Atlantic City to New York she drove 284 miles at a constant speed of 58 mph how long did it take Beverly to complete the trip
Answers
Answer:
4.9 hours = 4 hours 54 minutes
Step-by-step explanation:
speed = distance/time
time * speed = distance
time = distance/speed
time = (284 miles)/(58 mph) = 4.9 hours
4.9 hours - 4 hours = 0.9 hours
0.9 hours * (60 minutes)/(1 hour) = 54 minutes
4.9 hours = 4 hours 54 minutes
Solve the system of equations for the variables: 5x+2y=13 x+2y=9
Answers
Answer:
x = 1
y = 4
Step-by-step explanation:
5x + 2y = 13
x + 2y = 9
Add both equations.
6x + 4y = 22
Solve for x.
6x = 22 - 4y
x = 22/6 - 4/6y
Put x as 22/6 - 4/6y in the second equation and solve for y.
22/6 - 4/6y + 2y = 9
-4/6y + 2y = 9 - 22/6
4/3y = 16/3
y = 16/3 × 3/4
y = 48/12
y = 4
Put y as 4 in the first equation and solve for x.
5x + 2(4) = 13
5x + 8 = 13
5x = 13 - 8
5x = 5
x = 5/5
x = 1
Answer:
x = 1, y = 4
Step-by-step explanation:
5x+2y = 13
x+2y = 9
Subtracting both equations
=> 5x+2y-x-2y = 13-9
=> 4x = 4
=> x = 1
Now, Putting x = 1 in the first equation
=> 5(1)+2y = 13
=> 2y = 13-5
=> 2y = 8
=> y = 4
Please answer this correctly
Answers
Answer:
75%
Step-by-step explanation:
There are 3 numbers that fit this rule, 3, 5, and 6. There is a 3/4 chance spinning one or a 75% chance.
Answer:
75%
Step-by-step explanation:
The numbers 6 or odd are 3, 5, and 6.
3 numbers out of a total of 4 numbers.
3/4 = 0.75
Convert to percentage.
0.75 × 100 = 75
P(6 or odd) = 75%
Draw a graph of f(x) =3^-x+3
Answers
Answer:
Use a graphing calc or desmos
Step-by-step explanation:
Q1. 12.5g of medicine cost 1,075 naira. What is the cost of 1g of medicine. Q2. What is the total pay for someone who works 42 hours and gets 645 naira per hour
Answers
Step-by-step explanation:
Q1. 1,075÷12.5 =8
So Therefore 1g of medicine cost 8 naira
Q2.645÷42=15.3
so therefore 1 hour cost 15.3 naira
The cost of 1g of medicine is 86 naira and the total pay for someone who works 42 hours is 27090 naira.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that 12.5g of medicine cost 1,075 naira.
We have to find the cost of 1g of medicine.
12.5g=1075 naira
1g=1075/12.5
1g=86 naira.
the total pay for someone who works 42 hours and gets 645 naira per hour
The cost for 42 hours
42×645
27090 naira
Hence, the cost of 1g of medicine is 86 naira and the total pay for someone who works 42 hours is 27090 naira.
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ2
In a 2-card hand, what is the probability of holding only face cards?
Answers
Answer:
12
Step-by-step explanation:
( J , Q, K 4 each)
so prob that for 2 cards, both cards are face
= C(12,2)/C(52,2) = 66/1326 = 11/221
divide
a) 21564÷2
b)40565÷5
c)6365÷8
d)1436÷7
answer please fast
Answers
Answer:
21564 ÷ 2 = 10782
40565 ÷ 5 = 8113
6365 ÷ 8 = 795.625
1436 ÷ 7 = 205.142857143
Karen, Pete, Rose, and David are comparing their solutions to a homework problem below.
(+ + 8
(-2)
1
Select the student who correctly subtracted the rational expressions,
Karen:
Pete:
+ 8 - 7
2
2)
5
(1 + 8)(x + 5) - 7
(1 - 2)(+ 5)
12 + 135 + 40 - 77 + 14
2 + 3x - 10
1? +61 + 54
12 + 91 - 10
Rose:
David:
(1 + 5
(1 + 8)
(r
+3+*5
(+216-6= x2 + 35 – 10
1 + 1
x2 + 3x - 10
7: + 8) + (x - 2)(= + 5)
7(: - 2)
II
75 + 8 + 12 + 91 - 10
78 14
2 + 101 - 2
70 - 14
Answers
Answer:pete
Step-by-step explanation:
ab = cde
In order to solve the equation above for c, you must multiply both sides of the equation by the same expression
ab x _? = cde x _?
The resulting equation is
C= _?
Answers
Answer:
1) We have to multiply both sides by 1/(de)
2) c=ab/(cd)
Step-by-step explanation:
We have to achieve the right side expression be c only. To do that we have to multiply cde by 1/(de) . However we have to multiply the left side by
1/(de) as well.
So the resulting left side expression is:
ab *1/(de)=ab/(de)
So c= ab/(de)
Given equation in the question is,
ab = cde
To solve the given equation for the value of c, follow the algebraic rules,
1). Multiply both the sides of the equation with [tex]\frac{1}{de}[/tex],
[tex]ab\times \frac{1}{de} = \frac{cde}{de}[/tex]
[tex]\frac{ab}{de}= \frac{cde}{de}[/tex]
[tex]\frac{ab}{de}=c[/tex]
Therefore, resulting equation for c will be,
[tex]c=\frac{ab}{de}[/tex]
Learn more,
https://brainly.com/question/11496615
Phoenix hiked the Rocky Path Trail last week. It took four days to complete the trip. The first two days she hiked a total of 26 miles. The second and third days she averaged 12 miles per day. The last two days she hiked a total of 28 miles. The total hike for the first and third days was 22 miles. How many miles long was the trail?
Answers
Answer:
50 miles
Step-by-step explanation:
let he hiked a,b,c and d miles on each of the four days respectively.
then, according to the question.
a+b=26...i
b+c= 24...ii
c+d=28...iii
a+c=22...iv
now, adding i,ii,iii,iv we get
2(a+b+c+d) = 100
a+b+c+d= 50 miles.
Hence, he traveled in all 50 miles.
Please answer it now in two minutes
Answers
Answer:
3/4
Step-by-step explanation:
Rise over run.
Go up 3 units and 4 units to the right to find the next point
Answer:
Using points ( 8 , 9 ) and ( 4 , 6)
Slope = 6-9/4-8
= -3/-4
= 3/4
Hope this helps
6 drinks make a six-pack. Marty has 23 drinks. name the mixed number of 6- packs Marty has.
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
[tex]3\frac{5}{6}[/tex]
▹ Step-by-Step Explanation
6 drinks = 6 Pack (one pack)
23 ÷ 6 = [tex]\frac{23}{6} = 3\frac{5}{6}[/tex]
Mixed number - [tex]3\frac{5}{6}[/tex]
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer: It's 3 5/6
but isn't this 4th-grade work?
Step-by-step explanation:
A football coach compared the yards per game of two of his running backs over the course of 10 games. Based on the data represented in the box plots, which football player had greater success during the 10 games? Nasir was more successful because he had the greatest number of yards in one game. Aaron was more successful because he had the greater total spread. Nasir was more successful because he had the greater measure of center. Aaron was more successful because he had an outlier.
Answers
Answer:
C Nasir was more successful because he had the greater measure of center
Step-by-step explanation:
Answer: C
Step-by-step explanation:
What is the measure of C?
Answers
Answer:
C.) 60°
Step-by-step explanation:
The triangle is an equilateral triangle. So that means that all the angles measure the same. And we have to remember that a triangle always equals 180°
So, to find out the measure of an angle. We must divide 180 by 3. Which is 60
=60°
Hope this helps you out! : )