Answers
Answer:
The correct option is D) [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
we need to find sin 30° with the reference of provided figure
Since, [tex] sin\theta=\frac{perpendicular}{hypotenuse}[/tex] .....(1)
In fig , perpendicular is 1 and hypotenuse is
now put [tex]\theta=30\degree[/tex] in (1)
[tex] sin\theta=\frac{1}{2}[/tex]
Hence, The correct option is D) [tex]\frac{1}{2}[/tex]
Related Questions
One 10-ounce soft drink contains about 8 teaspoons of sugar. How much sugar would be in three 10-ounce drinks ?
Answers
since 1 10-ounce is 8 teaspoon
8 x 3 = 24
Three consecutive integers have a sum of 114. what are the three integers
Answers
x+(x+1)+(x+2)=114
3x+3=114
3x=111
x=37
the three consecutive integers are: 37,38,39
Our three consecutive integers are 37, 38, and 39.
Work is provided in the image attached.
Anna is 4ft 9in tall. Express Anna's height in feet only by using a mixed number. If necessary, simplifyvthe fraction part of the mixed number
Answers
The perimeter of the isosceles ΔABC with the base
BC is equal to 40 cm. Perimeter of the equilateral ΔBCD is 45 cm. Find BC and AB.
Answers
|BC| = |CD| = |DA|
and
[tex]P=|BC|+|CD|+|DA|\\\\45=|BC|+|BC|+|BC|\\\\45=3\cdot|BC|\quad|:3\\\\|BC|=45:3\\\\\boxed{|BC|=15\text{ cm}}[/tex]
ΔABC is isosceles and
|AB| = |CA| (legs)
[tex]P=|AB|+|BC|+|CA|\\\\P=|AB|+|BC|+|AB|\\\\40=2\cdot|AB|+15\\\\40-15=2\cdot|AB|\\\\25=2\cdot|AB|\quad|:2\\\\\boxed{|AB|=12.5\text{ cm}}[/tex]
The length of BC is 15 cm and the length of AB is 12.5 cm.
The given parameters;
perimeter of isosceles ΔABC = 40 cmbase of the isosceles triangle = BCPerimeter of the equilateral ΔBCD = 45 cmAn equilateral triangle has three equal sides and the length of each side is calculated as;
[tex]|BC| = |BD| = |CD| = \frac{45}{3} = 15 \ cm[/tex]
Thus, the length of BC is 15 cm.
An isosceles triangle has two equal sides and a third side of different length. This third side is usually the base of the triangle.
The base of the isosceles triangle = BC = 15 cmThe two remaining sides = AB and AC[tex]|AB| = |AC| =\frac{Perimeter \ - \ |BC|}{2} = \frac{40 - 15}{2} = 12.5 \ cm[/tex]
Thus, the length of AB is 12.5 cm.
Learn more here: https://brainly.com/question/11296804
the angles formed by two perpendicular lines have a measure of _______.
A.45°
B.90°
C.135°
D.180°
thank in advance!! ☺
Answers
What is the reciprocal of each mixed number? Drag and drop the answer into the box to match each number.
10 1/3
2 2/3
5 1/3.
Answers
First, we are going to find the improper fraction of each mixed number.
10 1/3 >>>>> 10*3+1=31 31/3
2 2/3 >>>>> 2*3+2=8. 8/3
5 1/3 >>>>>> 5*3+1 = 16. 16/3
TO find the reciprocal, we switch the numerator with the denominator.
31/3 changes to 3/31, 8/3 changes to 3/8, and finally 16/3 changes to 3/16.
Your answer is:
3/31
3/8
3/16
Hope this helps! Let me know if you have any questions:)
Answer:
10 1/3 = 3 /31. 2 2/3 = 3/8. 5 1/3 = 3/16.
Step-by-step explanation:
i took the k12 test and got 100 percent hope this helps!!
Simplify the expression, if possible. (if the expression cannot be simplified, enter the given expression.) (k − 5)13 (k − 5)
Answers
Graph y-5 = -2/3 (x+9)
Answers
y=-2/3x-1
not sure how to graph this on here, but I guess I can describe the graph to ya:
~the line intersects the y-axis at -1 and the x intersect at -1.5
~draw your line
30 POINTS!!
Find the measure of angle B in isosceles triangle ABC.
Answers
Triangles must equal 180 degrees. The given 50 means the rest of the triangle is equal to 130. I believe because of the Side-Angle-Side theorem of triangles (if my knowledge of proofs from 3 years ago is still with me), the two remaining angles are equal to each other. Let's call them X. 2x = 130. Divide both sides by 2. 130/2 = 65. So x=65
3 angles inside a triangle = 180 degrees
since the 2 sides are equal
angle B and C are the same
180 - 50 = 130 degrees
130 / 2 =65
Angle B is 65 degrees
Jill bought items costing $3.45 , $ 1.99, $6.59 , and $ 12.98 . she used a coupon worth $2. 50. if jill had $ 50.00 when she went into the store , how much did she have when she left
Answers
$3.45
$1.99
$6.59
$2.50
$12.98
which the sum of that is $27.51 then you subtract the coupon with the total which is $25.01 and then you take $25.01 and subrtact $50.00 thn your answer is $24.99
A certain mutual fund has net assets of $1,359,600. One share of this fund has a net asset value of $11.33. How many shares make up the fund?
Answers
So the answer is 120,000 shares
Answer:
B
Step-by-step explanation:
Does this figure have rotational symmetry?
A) No, pentagons cannot be rotated.
B) No, it has five lines of symmetry.
C) Yes, it has five lines of symmetry.
D) No, it only looks the same if it is rotated 360°.
Answers
Calculus: Help ASAP
Evaluate the integral of the quotient of the secant squared of x and the square root of the quantity 1 plus tangent x, dx.
Answers
Answer:
[tex]2\sqrt{1+tan(x)} +C[/tex]
Step-by-step explanation:
To start solving this you need to use substitution. I let u = 1+tan(x). Next you need to find du/dx, which is sec^2(x) using trigonometric properties. Solve for dx and get dx = du / sec^2(x). Next put the new dx back in. This gives you integral sec^2(x) / sqrt u * du / sec^2(x). The sec^2(x) cancels and the new expression is integral 1/sqrt u * du, which can be simplified to integral u^-1/2 * du. You then take the integral and get 2u^1/2. Lastly, substitute the original u back in and get 2 sqrt 1+tan(x) + C.
In a country where prices are rising quickly, bread that now costs $1.39 will cost 2.4 times as much next year. How much will the bread cost next year
Answers
multiply the current price by the increase
1.39 * 2.4 = $3.34 ( price next year)
Represent real-world situations a rectangular piece of sheet metal is rolled and riveted to form a circular tube that is open at both ends, as shown. the sheet metal has a perimeter of 36 inches. each of the two sides of the rectangle that form the two ends of the tube has a length of x inches, and the tube has a circumference of x - 1 inches because an overlap of 1 inch is needed for the rivets. write a volume function for the tube in terms of x. then, to the nearest tenth, find the value of x that maximizes the volume of the tube. answer
Answers
Is the probability of contamination more than twice the mean of 14.4 unusual, or can it be considered typical variation? explain?
Answers
The probability is 0.000463 and this is really small, but I really don't understand what is the meaning of typical in this problem.
To determine if a probability of contamination more than twice the mean of 14.4 is unusual, the standard deviation must be considered. In a normal distribution, occurrences more than two standard deviations from the mean are typically unusual.
Whether a probability of contamination more than twice the mean of 14.4 is unusual or not depends on the standard deviation of the data. In a typical normal distribution, values more than two standard deviations away from the mean could be considered unusual. Considering a mean of 14.4, if the standard deviation is small, then a value twice as large would likely be an outlier. However, if the standard deviation is large, such a value could fall within the realm of normal variation.
To ascertain if a value is unusual, one would compare it to the range defined by a certain number of standard deviations from the mean. A common rule of thumb is the empirical rule, which states that for a normally distributed dataset, roughly 68% of data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.
In this context, if a probability of contamination is more than twice the mean (greater than 28.8), and assuming a normal distribution, it would be considered unusual if it falls outside of two standard deviations from the mean.
Ari writes 2 + 4 on the left-hand side of his paper. Then he writes 6 to the right of the expression. Which symbol should Ari write between the two sets of numbers?
A.
+
B.
?
C.
=
Plz help will rate 19 pts
Answers
The correct symbol that Ari should write between the two sets of numbers is C. =.
When Ari writes "2 + 4" on the left-hand side of his paper and then writes "6" to the right of the expression, he is indicating that the sum of 2 and 4 is 6. The symbol "=" is used to denote equality, meaning that the value on the left side of the equation is the same as the value on the right side. In this case, the sum of 2 and 4 indeed equals 6, so the complete equation should be written as:
[tex]\[ 2 + 4 = 6 \][/tex]
This shows that the operation of adding 2 and 4 results in the number 6, which is a true statement. Therefore, the correct answer to the question is option C, the equals sign "=".
Suppose that the time it takes to do a job is inversely proportional to the number of workers. that is, the more workers on the job the less time required to complete the job. if it takes 2 workers 8 days to finish a job, how long will it take 8 workers?
Answers
in a experiment investigating the growth of spores in varying soil conditions a certain spore colony grew an average of 3 times larger during each 24 hours period.if the colony contained 50 spores at the beginning of the experiment how many spores were there at the end of the 4th day?
Answers
Given that the certain type of spore colony having 50 spores and a rate of growth of 3 times in 24 hour or one day period, it would grow to (3 times 50) 150 spores at the end of the first day, (3 times 150) 450 in the 2nd day, (3 times 450) 1350 in the third day, and (3 times 1350) 4050 spores at the end of the fourth day.
The spore colony, which triples in size each day, will contain 4050 spores at the end of the 4th day starting from an initial count of 50 spores.
This question involves exponential growth, where the size of the spore colony triples every day.
To solve this, we will calculate the number of spores at the end of each day:
Initial spores= 50
End of Day 1,
50 * 3 = 150
End of Day 2,
150 * 3 = 450
End of Day 3,
450 * 3 = 1350
End of Day 4,
1350 * 3 = 4050
Therefore, at the end of the 4th day, the spore colony would contain 4050 spores.
4x-8y=24 find the x-intercept and y- intercept on the graph
Answers
the y intercept is the value of y when x=0
when y=0: 4x-0=24 => x=4
when x=0: 0-8y=24 => y=-3
so the x intercept is 4, and the y intercept is -3
4x-8y=24
move variables to the right side and change its sign
4x=24+8y
divide both sides by 4
x=6+2y
4x-8y=24
move variable to the right and change the sign
-8y=24-4x
divide both sides by -8
y=-3+1/2x
solving with systems of equations using elimination! please help me. thank u!
Answers
Mrs. Reid is going on a trip. She has 9 books that she hasn't read yet, but she wants to bring only 3 on the trip. In how many ways can she choose 3 books to bring on the trip?
♦27
♦84
♦504
♦60,480
Answers
Answer:
Option B is right.
Step-by-step explanation:
Given that there are totally 9 books unread by Mrs. Reid. OUt of these she wants to take only 3 books on the trip.
For books order does not count.
Hence combinations would be appropriate to calculate.
3 books out of 9 can be selected in
9C 3 ways
No of ways of selecting 3 books for the trip out of 9 = [tex]\frac{9(8)(7)}{1(2)(3)} =84[/tex]
There are just 84 ways of choosing 3 books to bring on the trip out of 9 unread books.
Option B is right.
The correct answer is 84.
To solve this problem, we can use the concept of combinations from combinatorics. A combination is a way of selecting items from a collection, such that the order of selection does not matter. In this case, Mrs. Reid wants to select 3 books out of 9 without regard to the order in which they are chosen.
The number of ways to choose 3 books from 9 is given by the combination formula:
[tex]\[ C(n, k) = \frac{n!}{k!(n-k)!} \][/tex]
where[tex]\( n \)[/tex] is the total number of items to choose from, [tex]\( k \)[/tex]is the number of items to choose, and [tex]\( ! \)[/tex] denotes factorial, which is the product of all positive integers up to that number.
For Mrs. Reid's situation:
[tex]\[ n = 9 \] \[ k = 3 \][/tex]
So we plug these values into the formula:
[tex]\[ C(9, 3) = \frac{9!}{3!(9-3)!} \][/tex]
Calculating the factorials:
[tex]\[ 9! = 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 \] \[ 3! = 3 \times 2 \times 1 \] \[ (9-3)! = 6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1 \][/tex]
Now we simplify the expression by canceling out the common terms in the numerator and the denominator:
[tex]\[ C(9, 3) = \frac{9 \times 8 \times 7 \times 6!}{3! \times 6!} \] \[ C(9, 3) = \frac{9 \times 8 \times 7}{3 \times 2 \times 1} \][/tex]
Divide out the common factors:
[tex]\[ C(9, 3) = \frac{9}{3} \times \frac{8}{2} \times \frac{7}{1} \] \[ C(9, 3) = 3 \times 4 \times 7 \][/tex]
Now we multiply the remaining numbers [tex]\[ C(9, 3) = 3 \times 4 \times 7 = 84 \][/tex]
Therefore, Mrs. Reid can choose 3 books to bring on the trip in 84 different ways.
5(1+4m)=2(3+10m)
Please help. Show work please
Answers
6+10m
Combine light terms
12+14m
5(1)=5
5(4m)=20m
So for the left side it's 5+20m
Now u have to do the same thing for the right side
2(3)=6
2(10m)=20m
So for the right side it's 6+20m
Now that u have solved both sides u have to isolate the m
5+20m=6+20m
-5 -5
----------------------
20m=1+20m
-20m -20m
------------------------
0=1
Therefore there is no solution
a family went on a vacation and used 5.4 gallons of gasoline to travel 150 miles. how many total gallons of gasoline will they need to travel 200 more miles?
Answers
ALGEBRAAA
1. What is the average rate of change? How do you find it?
2. Whats the difference between recursive and explicit formulas?
Answers
1. The average rate of change is the slope of a line to find it divide the vertical change by the horizontal change
2. recursive is a formula to calculate the next term, depending on what the previous term was
Explicit is a formula to calculate any term depending on the term number
What is the length of each side of a cube if its surface area is 486 in2?
Answers
area = side^2 * 6
486 = side^2 * 6
side^2 = 486 / 6
side^2 = 81
side length = 9 inches
More than half of which climate type averages between 40 and 59 inches of precipitation a year?
Answers
The Cfa climate is the humid subtropical climate. This climate has hot muggy summers and frequent thunderstorms. Winters are mild and precipitation during this season comes from mid-latitude cyclones. The southeastern USA good example for Cfa climate . The Cfa climate receives precipitation throughout the year.
All real numbers that are less than -3 or greater than it equal to 5
Answers
<-3 or x > 5
evaluate the expression if a=3 and b=5
4(a+2b)
Answers
4(3+10)
4(13)
52
Can someone please help?
thanks :)
Answers
(6-3)^2
breakdown: (6-3) (6-3)
Now using the distributive property you can further solve this problem. This means you multiply everything by each other.
6*6, 6*-3, -3*6, -3*-3
36 -18 -18 +9
Now solve what's above.
You should find 9 as your final answer.
Please vote my answer brainliest. thanks!