Answers
Answer:
[tex]5\sqrt{3}[/tex]
Step-by-step explanation:
the sides of a 30 60 90 triangle are x, 2x, and [tex]x\sqrt{3}[/tex], with [tex]x\sqrt{3}[/tex] being opposite to the 60 degree angle, and x being adjacent to the 60 degree angle. If [tex]x\sqrt{3}[/tex] = 15 (as given from the image), you can calculate x to be [tex]5\sqrt{3}[/tex].
Related Questions
You work as an assistant for a local musical theatre group, the Main Street Theatre Company. The company is putting on a production of Les Misérables this year, and they need your help planning it.
All the roles have now been cast, and the lead actors playing the following parts are gathered around a large circular table for their first read: Jean Valjean, Inspector Javert, Thénardier, Enjolras, Marius, Fantine, adult Cosette, adult Éponine, and Madame Thénardier. It is your job to seat these 9 actors, the 3 producers, and the director around the table.
Remember that there are 5 lead male roles and 4 lead female roles. If you must seat the male leads together, the female leads together, the 3 producers together, and the director by himself, how many different ways can you seat the 13 people around the circular table?
103,680
479,001,600
6,227,020,800
17,280
Answers
Answer:
6227020800
is mi answer
There’s a garden in the neighborhood, and the number of bushes in the garden can be determined by the equation B = 2s, where B is the number of bushes and s is the number of seeds planted. How many seeds were planted if there are 10 bushes?
Answers
Can someone help me?
Answers
Answer:
m∠R = 112°
m∠S = 112°
m∠T = 68°
Step-by-step explanation:
Quadrilateral QRST is a cyclic quadrilateral.
A cyclic quadrilateral is a quadrilateral drawn inside a circle where every vertex touches the circumference of the circle.
The opposite angles in a cyclic quadrilateral sum to 180°.
⇒ m∠Q + m∠S = 180°
⇒ m∠R + m∠T = 180°
Given:
m∠Q = 68°m∠R = (3x + 40)°m∠T = (5x - 52)°Measure of angle Q
⇒ m∠Q + m∠S = 180°
⇒ 68° + m∠S = 180°
⇒ m∠S = 180° - 68°
⇒ m∠S = 112°
Measure of angles R and T
⇒ m∠R + m∠T = 180°
⇒ (3x + 40)° + (5x - 52)° = 180°
⇒ )8x -12)° = 180°
⇒ 8x° = 192°
⇒ x = 24
Substituting the found value of x into the expressions for angles R and T:
⇒ m∠R = (3(24) + 40)°
⇒ m∠R = 112°
⇒ m∠T = (5x - 52)°
⇒ m∠T = 68°
Which is the solution set of the compound inequality 3,5x-10 >-3 and 8x-9<397
-2
-2
2
2
Answers
Answer:
2
Step-by-step explanation:
Find the coordinates of the intersection of the diagonals of the parallelogram with the vertices W(−2, 5), X(2, 5), Y(4, 0),
and Z(0, 0)
.
Answers
Using the midpoint formula, the coordinates of the intersection of the diagonals of the parallelogram is: (1, 2.5).
What are Diagonals of a Parallelogram?The diagonals of a parallelogram bisect each other, therefore, the coordinates of their intersection can be determined using the midpoint formula, which is: [tex]M(\frac{x_2 + x_1}{2}, \frac{y_2 + y_1}{2})[/tex].
A diagonal is XZ.
X(2, 5) = (x1, y1)
Z(0, 0) = (x2, y2)
Plug in the values
[tex]M(\frac{0 + 2}{2}, \frac{0 + 5}{2})[/tex]
= (1, 2.5).
Learn more about the diagonals of a parallelogram on:
https://brainly.com/question/12167853
#SPJ1
What is the range of the exponential function shown below?
Answers
Answer:
D. y>0.
Step-by-step explanation:
1) the domain of the given function is any real numbers, then
2) if x→+∞, then y→0; if x→-∞, then y→+∞;
3) finally, the required range is y>0; answer D.
Whats the correct answer answer asap for brainlist
Answers
because artifacts tell you the most about how people lived
The graph of y = |2x – 2| – 4 is shown. On a coordinate plane, an angled line opens up. It approaches the grid line at (negative 4, 6), crosses the x-axis at (negative 1, 0), the y-axis at (0, negative 2), has a vertex of (1, 4), and crosses the x-axis at (3, 0). Which statement about the graph is accurate? An x-intercept of the graph is (0, 3). The graph has two y-intercepts. A y-intercept of the graph is (0, –2). The graph has no x-intercepts.
Answers
76.89 sjsbs austere. Sisson whenever. Ebenezer oe eie h rur fuf 8r r earned e 3epoe9 r rur 8e e aonwowne e7 rjr or
please help
f (5) = x2
Answers
Answer:
25
Step-by-step explanation:
f(5)=x2
=25
What is the value of h(a) when a = 2 in the
piecewise function
3a + 2
4a +5
3
h(a) =
when a > 3
when a = 3
when a <3
Answers
=========================================================
Explanation:
This is the given piecewise function
[tex]h(a) = \begin{cases}3a+2 \text{ when } a > 3\\4a+5 \text{ when } a = 3\\3 \text{ when } a < 3\\\end{cases}[/tex]
We can rewrite things like this
[tex]\text{when } a > 3, \ \ h(a) = 3a+2\\\text{when } a = 3, \ \ h(a) = 4a+5\\\text{when }a < 3, \ \ h(a) = 3\\[/tex]
I personally prefer this format better because it mentions the inputs first, and that leads to which function definition we go for.
The input a = 2 fits the description of [tex]a < 3[/tex] since [tex]2 < 3[/tex] is a true statement. Therefore we go for the third line and can see that [tex]h(a) = 3[/tex] becomes [tex]h(2) = 3[/tex]
-----------
As another example, if we had the input a = 7, then we'd go for the first line (since 7 > 3) and get
h(a) = 3a+2
h(7) = 3(7)+2
h(7) = 23
Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x?
Ox=8
Ox= 10
Ox=13
Ox=18
Answers
Willey’s Grill & Restaurant Corporation wholesales ovens and ranges to restaurants throughout the Southwest. Willey’s Grill & Restaurant, which had 335,000 shares of common stock outstanding, declared a 2-for-1 stock split. This information has been collected in the Microsoft Excel Online file. Open the spreadsheet, perform the required analysis, and input your answers in the questions below.
Answers
a. The number of shares outstanding after the stock split by Willey’s Grill & Restaurant Corporation is 670,000 (335,000 x 2).
b. If the common stock had a market price of $510 per share before the stock split, the approximate market price per share after the split is $255 ($510/2).
What is a stock split?A stock split is a way that a corporation increases the number of its shares by increasing or decreasing the number of shares outstanding.
When a stock split increases the number of outstanding shares, the market price reduces proportionately.
Question Completion:a. What will be the number of shares outstanding after the split? Round your answer to the nearest whole number.
b. If the common stock had a market price of $510 per share before the stock split, what would be an approximate market price per share after the split? Round your answer to the nearest dollar.
Thus, the stock split increased the outstanding shares to 670,000 while reducing the market price to $255.
Learn more about stock splits at https://brainly.com/question/14247504
#SPJ1
The sum of product of two and nine and product of two and thirty-six is divided by nine and then the quotient is multiplied by the sum of the first three prime numbers.
Answers
The sum of the product of two and nine and the product of two and thirty-six is divided by nine and then the quotient is multiplied by the sum of the first three prime numbers is 100.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression can be written as,
[tex]\dfrac{(2 \times 9)+(2 \times 36)}{9} \times (2+3+5)[/tex]
The result of the above expression will be,
[tex]\dfrac{(2 \times 9)+(2 \times 36)}{9} \times (2+3+5)\\\\=\dfrac{18+72}{9} \times (10)\\\\[/tex]
= (90/9) × 10
= 10 × 10
= 100
Hence, the sum of the product of two and nine and the product of two and thirty-six is divided by nine and then the quotient is multiplied by the sum of the first three prime numbers is 100.
Learn more about Expression:
https://brainly.com/question/13947055
#SPJ1
CHECK
n =
Solve the equation.
−4(n − 6)= 12
Answers
[tex] - 4(n - 6) = 12 \\ (n - 6) = \frac{12}{ - 4} \\ n - 6 = - 3 \\ n = - 3 + 6 \\ n = 3[/tex]
A small town's population, P, can be modeled by the equation P (t) = 45,000(2.66), where t is the time in years. Is the statement below true of false. The rate of population growth each year is 166% O True O False
Answers
A function assigns the values. The statement "The rate of population growth each year is 166%" is true.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the function of the population for the town is [tex]P (t) = 45,000(2.66)^t[/tex], where t is the time in years. Comparing the given function to the general function of the population,
P(x) = a(1+b)ˣ
Then, the value of b will be 166%.
Hence, the statement "The rate of population growth each year is 166%" is true.
Learn more about Function:
https://brainly.com/question/5245372
#SPJ1
The elementary school lunch menu repeats every 20 days; the middle school lunch menu repeats
every 15 days. Both schools are serving pizza today. In how may days will both schools serve pizza
again?
Answers
Answer:
60 Days.
Step-by-step explanation:
Alright. We're told that the elementary menu repeats every 20 days. All right. And the middle school repeats every 15 days. And today they're both serving pizza. It asks how long until they're both saving it serving pizza again. Alright. So we can kind of just write them out and say well, if it's every 20 days, it repeats. Well then in 20 days from now we're going to get pizza again. And then after that another 20 days, so 40 days and then after that another 60 days. Okay. And we're just adding 20 each time. Uh you know, to see when would we get pizza again at the elementary school? Well, we can do the same thing here with middle school. And when are they going to get pizza again? Well, in 15 days from now they would get pizza again and then another 15 days from that. So that's 30 And then 45 and then 60 and then 75 and so on. And the first time that they're going to repeat is well, this is the common factor that are the common multiple that they have, which is 60. This is really just a complicated way of asking what is the least common multiple of 20 and 15. Alright. And your answer is going to be 60. So it'll be 60 days until they serve the same pizza again.
Use the Histogram below to answer
Answers
Considering the given histogram, we have that:
1. Chebyshev's Theorem.
2. At least 89%.
3. At least 75%.
What does Chebyshev’s Theorem state?When we have no information about the population distribution, Chebyshev's Theorem is used. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.At least 89% of the measures are within 3 standard deviations of the mean.An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
We can see from the histogram that the distribution is not normal, hence Chebyshev's Theorem can be used.
-15 and 105 are within 3 standard deviations of the mean, hence the percentage is of at least 89%.
As stated in the bullet points, at least 75% of the measures are within 2 standard deviations of the mean.
More can be learned about Chebyshev's Theorem at https://brainly.com/question/25303620
#SPJ1
You are flying a kite and have let out 30 feet of string but it got caught in an 8ft tree. What is the angle of elevation to the location of the kite? Show your work finding the angle of elevation and state the measure of the angle. You are flying a kite and have let out 30 feet of string but it got caught in an 8ft tree . What is the angle of elevation to the location of the kite ? Show your work finding the angle of elevation and state the measure of the angle .
Answers
Answer:
15.47 degrees
Step-by-step explanation:
12
intent attribution
QUESTION 5 1 POINT
.
Tickets for a basketball game cost $3 for students and $5 for adults. The number of students was 11 less than 8 times
number of adults. The total amount of money from ticket sales was $895. How many of each ticket were sold?
Provide your answer below:
adult tickets,
FEEDI
student tickets
Answers
Answer:
32 adult245 studentStep-by-step explanation:
The given relations between numbers and prices can be used to write a system of equations for the number of each kind of ticket. One equation will describe ticket numbers; the other will describe ticket revenue.
SetupLet x represent the number of adult tickets, and y the number of student tickets. The given relations can be written as the general-form equations ...
8x -y -11 = 0 . . . . . . . . . ticket numbers
5x +3y -895 = 0 . . . . . ticket revenue
SolutionThe setup using general form equations lends itself to solution using the "cross multiplication method." Using this method, we define three numbers used in the solution:
Δ = 8(3) -5(-1) = 24 +5 = 29
Δx = -1(-895) -3(-11) = 895 +33 = 928
Δy = -11(5) -(-895)(8) = -55 +7160 = 7105
And the solutions are ...
x = Δx/Δ = 928/29 = 32
y = Δy/Δ = 7105/29 = 245
32 adult tickets and 245 student tickets were sold.
__
For more about the Cross Multiplication Method, see ...
https://brainly.com/question/26397343
8. Jess walked for 45 minutes at 3 km/h and then ran for half an hour at x km/h. At the end
of that time she was 6 km from the starting point. Find the value of x.
Answers
Answer:
x = 7.5 km/h
Step-by-step explanation:
• First calculate the distance covered by walking at 3 km/h for 45 minutes ( 0.75 h):
distance = speed × time
= 3 × 0.75
= 2.25 km
• Therefore, she covered 2.25 km of the total journey by walking. Since she was 6 km from the starting point at the end of the entire journey, we can calculate the distance remaining, which she had to run:
distance she had to run = 6 - 2.25
= 3.75 km
• Now we can calculate the speed of the 30 minute (0.5 h) run:
speed = distance ÷ time
= 3.75 ÷ 0.5
= 7.5 km/h
This means that she ran at 7.5 km/h for half an hour.
∴ x = 7.5
Which relation is also a function?
O {(1,0), (2,2), (1,3)}
O {(1, 2), (1, 4), (2, 6) }
○ {(2, 1), (2, 2), (2, 3) }
○ { (0, 0), (4, 0), (6, 0) }
Answers
Answer: Option 4
Step-by-step explanation:
Each value of x maps onto one value of y, meaning the relation is a function.
1. What is the Importance of Finance in a Business?
2. What is the impact of Business in our economy?
Answers
Answer:
1) Finance is very important in a business as to meet the expenses from manufacturing a product to solding it capital is required. without finance one cannot run a business . even a small scale business requires some finance.
2) Business has a great impact in our economy. it increases the overall economy and contributes somewhere between 70 to 72% to the GDP.
Solve x2 – 8x + 15 < 0. Select the critical points for the inequality shown. –15 –5 –3 3 5
Answers
The critical points are within rthe range 3<x<5
Quadratic equationsThese are equations that has a leading degree of 2. Given the expression below.
x²-8x+15<0
Factorize
x²-3x-5x+15<0
Factor out the GCF
x(x-3)-5(x-3) <0
Group
(x-3)(x-5)<0
Find the solution
x < 3 and x <5
Hence the critical points are within rhe range 3<x<5
Learn more on inequality here;https://brainly.com/question/24372553
#SPJ1
Help!! A semi circle sits on top of a rectangle to form the figure below. Find this area in parameter use 3.14 for
Answers
The area of the figure in the task content is; 14.28in².
What is the area of the figure in the task content?The area of the figure in the task content can be evaluated as the area of the semicircle and the rectangle.
Hence, the area of the semicircle is; (3.14/2) × (4/2)² = 6.28in².
The area of the rectangle can be evaluated as; 2 × 4 = 8in².
Hence, the area of the entire figure is; 8+ 6.28 = 14.28in².
Read more on area of a semicircle;
https://brainly.com/question/15822332
#SPJ1
Justin's box of crayons was full. He gave half the crayons in the box
to Daniel. How much remained in Justin's box?
Answers
Half of the crayon box is left
What is the measure of n?
28
n = [?]
n
7
3
Answers
Answer: 14
Step-by-step explanation:
By the geometric mean theorem,
[tex]\frac{n}{28}=\frac{7}{n}\\\\n^{2}=196\\\\n=\boxed{14}[/tex]
Sadie made a playlist for her road trip to Arizona. She added the same number of songs from each of her 6 favorite bands. In all, Sadie added 72 songs to the playlist.
Answers
Answer: 12 each
Step-by-step explanation: 72 divided by 6 = 12
Q.17> In how many ways 4 arts students and 4 science Students be arranged alternative at a round table?
Answers
Using the arrangements formula, it is found that there are 1152 ways for the students to be arranged alternatively at the table.
What is the arrangements formula?The number of possible arrangements of n elements is given by the factorial of n, that is:
[tex]A_n = n![/tex]
In this problem, we have that:
With the art students at the odd numbered places and the science students at the even numbered places, there are 4! x 4! ways.Same number of ways if they exchange, art even and science odd.Hence the number of ways is:
2 x 4! x 4! = 1152
More can be learned about the arrangements formula at https://brainly.com/question/24648661
#SPJ1
please help me with this
Evaluate: 2^-4 =
Answers
Answer: [tex]\frac{1}{16}[/tex]
Step-by-step explanation:
Whenever an exponent is negative, you flip the solution.
For this, [tex]2^4 = 2*2*2*2 = 4*4 = 16[/tex], however the exponent is negative, so flip 16 to get your final answer of [tex]\frac{1}{16}[/tex]
A banana grows from a tiny flower that is called "a finger". Each row of
bananas is called a "hand" and can contain 14 to 20 "fingers". Each banana
bunch can grow 9 to 12 hands.
1) What is the least amount of bananas that can grow from each bunch?
Answers
The smallest number of bananas that can grow in a bunch is 126.
How to calculate the least amount of bananas that can grow in a bunch?To calculate the least amount of bananas that can grow in a bunch, we must identify which are the smallest possibilities, in this case they are 14 fingers per hand and 9 hands per bunch.
According to the above, the least amount of bananas per bunch would be:
14 × 9 = 126Learn more about bananas in: https://brainly.com/question/11031873
#SPJ1