The value of [tex]\sin \beta[/tex] in the given triangle ABC is [tex]\dfrac{4}{5}[/tex]. Option D is correct.
What are the trigonometric ratios?Trigonometric ratios are the ratio of sides of a right angled triangle. There are 6 types of trigonometric ratios: sin, cos, tan, cosec, sec, and cot.
Sine trigonometric ratio is the ratio of perpendicular (side opposite to the angle) to the hypotenuse.
In the given figure, the side opposite to the angle [tex]\beta[/tex] is AC = 4 and the hypotenuse is AB = 5.
So, the sine ratio will be equal to,
[tex]\sin \beta=\dfrac{4}{5}[/tex]
Therefore, the value of [tex]\sin \beta[/tex] in the given triangle ABC is [tex]\dfrac{4}{5}[/tex]. Option D is correct.
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Lara has been hired for a new sales position at a local store. The salaries of the seven people who have been working at the store for one year are listed in this table.
Which statistic(s) can Lara use to predict what her salary most likely will be after one year?
Answer:
The Median or The Mode
Step-by-step explanation:
I had the same question on a quiz and got it right
Sam is using the expression 2x/6y in class. What is the value of the expression when... x=15 and y= 1/3?
Answer:
the value of the expression will be 15.
Step-by-step explanation:
equation giver : 2x/6y
value of x given: 15
value of y given: 1/3
on putting the values in the equation,
2×15 / 6×1/3
= 30 / 6/3
on simplification,
= 30/2
= 15
therefore, the value of the expression will be 15
hope it helps!!please mark brainliest ♡Construct a 90% confidence interval for the population mean, . assume the population has a normal distribution. a sample of 15 randomly selected students has a grade point average of 2.86 with a standard deviation of 0.78
Answer:
[tex]CI=\{2.5053,3.2147\}[/tex]
Step-by-step explanation:
Assuming the conditions for constructing a t-confidence interval are true, we use the formula [tex]\displaystyle CI=\bar{x}\pm t^*\biggr(\frac{s}{\sqrt{n}}\biggr)[/tex] where our sample mean is [tex]\bar{x}=2.86[/tex], our sample standard deviation is [tex]s=0.78[/tex], our sample size is [tex]n=15[/tex], and a 90% confidence level is equivalent to a critical value of [tex]t^*=1.7613[/tex],
[tex]\displaystyle CI=\bar{x}\pm z^*\biggr(\frac{s}{\sqrt{n}}\biggr)\\\\CI=2.86\pm 1.761\biggr(\frac{0.78}{\sqrt{15}}\biggr)\\\\CI=2.86\pm0.3547\\\\CI=\{2.5053,3.2147\}[/tex]
Hence, we are 90% confident that the true population mean of a student's grade point average is between 2.5053 and 3.2147
What is the product? startfraction x squared minus 16 over 2 x 8 endfraction times startfraction x cubed minus 2 x squared x over x squared 3 x minus 4 endfraction
The product of the given expression is [tex]\frac{x(x-1)(x-4)}{2(x+4)}[/tex] OR [tex]\frac{x(x^{2} -5x+4)}{2x+8}[/tex] OR [tex]\frac{x^{3} -5x^{2} +4x}{2x+8}[/tex]
Simplifying fractionsFrom the question, we are to determine the product of the given expressions
The given expressions are
[tex]\frac{x^{2} - 16}{2x+8}\times \frac{x^{3}-2x^{2} +x}{x^{2} +3x-4}[/tex]
[tex]\frac{(x+4)(x-4)}{2(x+4)}\times \frac{(x^{2} -x)(x-1)}{(x-1)(x+4)}[/tex]
[tex]\frac{(x-4)}{2}\times \frac{(x^{2} -x)}{(x+4)}[/tex]
[tex]\frac{(x-4)}{2}\times \frac{x(x-1)}{(x+4)}[/tex]
[tex]\frac{x(x-1)(x-4)}{2(x+4)}[/tex]
OR
[tex]\frac{x(x^{2} -5x+4)}{2x+8}[/tex]
OR
[tex]\frac{x^{3} -5x^{2} +4x}{2x+8}[/tex]
Hence, the product of the given expression is [tex]\frac{x(x-1)(x-4)}{2(x+4)}[/tex] OR [tex]\frac{x(x^{2} -5x+4)}{2x+8}[/tex] OR [tex]\frac{x^{3} -5x^{2} +4x}{2x+8}[/tex]
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Here is the complete and correct question:
What is the product? StartFraction x squared minus 16 Over 2 x + 8 EndFraction times StartFraction x cubed minus 2 x squared + x Over x squared + 3 x minus 4 EndFraction
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Answer:
A. StartFraction x (x minus 4) (x minus 1) Over 2 (x + 4) EndFraction
Step-by-step explanation:
correct on edge :)
julie buys a bike for $2700 and sells it a year later, making a 15% profit
How much profit did Julie make?
Answer:
$405.
Step-by-step explanation:
That would be 15% of $2700
= 2700 * 0.15
= $405
100 divided by 360 please help I’m gonna cry
360 ÷ 100 = 3.6
[tex]\bf{\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace3.\emptyspace6\:\:\:\:\:\:\:\:\:\\ 100\overline{|\smallspace360.0}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace3\emptyspace0\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace6\emptyspace0\emptyspace0\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace6\emptyspace0\emptyspace0}\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\end{matrix}}[/tex]
I hope it helps you...Salu2!!!!
Answer:
0.277778
Step-by-step explanation:
hope this helps also please don't cry everyone loves you
Amina thinks of a number and subtracts 5/2 from it. she multiplies the result by 8. the result now obtained is 3 times another number she thought of.what is the number?
Answer:
The way the problem is written: y = 8x/3 - 20/3
If the two numbers are the same: the number is 4.
Step-by-step explanation:
She thought of 2 numbers.
The first number is x.
The second number is y.
8(x - 5/2) = 3y
We have one equation with two variables, so we do not have enough information to find the two numbers.
We can just express one number in terms of the other number.
8x - 20 = 3y
3y = 8x - 20
y = 8x/3 - 20/3
If the problem were:
"Amina thinks of a number and subtracts 5/2 from it. She multiplies the result by 8. The result now obtained is 3 times the same number she thought of. What is the number?",
then there is only one variable, and we can find the number.
8(x - 5/2) = 3x
8x - 20 = 3x
5x = 20
x = 4
The number is 4.
Jake joins a soccer club. There is a registration fee of $35 dollars, and a charge of $60 a month. If m is the number of months that Jake plays in the club and c is the total amount he pays, write an equation to represent the relationship between c and m?
whats the answer??
Answer:
c=60m+35
Step-by-step explanation:
c is the cost so it should be equal to and 60 a month so 60m and +35
Make sure your answer is in degrees. you should be able to find this without a calculator.
sin-1 -1/2 = ?
Answer:
Below.
Step-by-step explanation:
sin-1 1/2 = 30 degrees in the first quadrant.
As the sin is negative in Quadrants 3 and 4,
sin01 -1/2
= 210, 330 degrees, in the range 0-360 degrees
Answer: -30°
Step-by-step explanation:
right on acellus
You chose an EXPONENTIAL model with the equation:
y=4.04·0.56x
In the context of the tennis balls:
(1) What does 4.04 mean?
(2) What does 0.56 mean?
Equation: y = 4.04·0.56^x
(1) What does 4.04 mean?Solution: Here in the exponential model, the height is 4.04 feet when the bounce number is 0. It represents the initial height. (original, starting value)
(2) What does 0.56 mean?Solution: 0.56 represents the represents the growth rate of how much the height will decrease with the amount of bounces. (growth factor)
Extra's :x represents the unit of measure of bounces.
General equation
y=ab^x#1
Here
a is 4.04So it represents the initial value where x is 0 as any number⁰ is 1#2
0.56 is bit's the rate of change with respect to xcan someone help me with this question?
Answer: The sample of the survey was 3000 teenagers
The population of the survey was teenagers across the state
Step-by-step explanation:
"3000 randomly selected teenagers"
"3000 randomly selected teenagers across the state"
Can someone please answer this, ill give you brainliest Would be very appreciated.
Answer:
No
Step-by-step explanation:
If you look at the graphs of the two expressions when x > 8
you will see that 2^x is greater
Yes that's true
because
As we can observe the table
The values of 5x²
5204580The values of 2^x
24816Clearly Tyler is correct
But
This is just according to table
After some while 2^x will shift gears to go ahead of 5x² side
Example
2^9=256=5125(9)²=5(81)=4054. Write an expression to find the perimeter
of the rectangle below. 6x
3x-5
Answer:
Down below
Step-by-step explanation:
If I am correct, it would be 6x + 6x + 3x - 5 + 3x - 5. I am almost positive this is what they are asking for. If I am incorrect, I will answer three questions for free, on any topic of your choosing. In advance, sorry if I'm incorrect.
An isosceles triangle has an angle that measures 52°. What measures are possible for the other two angles?
100 and 28 (a lot of others)
Step-by-step explanation:
Since the inside angles of a triangle equals 180 we can just do 180-52 which is 128 after that you can make any pair you want :)
3. Ramu finishes 1/3 part of a work in 1 hour. How much part of the work will be finished in 1 2/5 hours?
Passengers, who are travelling in a car west along a road that runs east-west, see a mountain 9 km away on a bearing of 290°. When they have travelled a further 5 km west along the road, what will be the distance to the mountain?
if a area of a rectangle is 45...
set up an equation that must be true:
w = x
L = x-4
Answer: x times (x-4)=45
Step-by-step explanation:
First since the area is 45 that’s what the equation has to be equal to.
To find the area you always have to do length times width. So the width (x) times the length (x-4) equals 45.
What is the sum of the following equation: (9+5)*43x(23,550-32)*655
Answer:
1,012,632....I'm sure that's is answerFind the distance between the points (9, –6) and (–4, 7).
Question 19 options:
A) [tex]2\sqrt{85}[/tex]
B) [tex]3\sqrt{39}[/tex]
C) [tex]13\sqrt{2}[/tex]
D) [tex]3\sqrt{39}[/tex]
The distance between the points (9, –6) and (–4, 7) will be 13√2. Then the correct option is C.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
D² = (x - p)² + (y - q)²
The points are (9, –6) and (–4, 7). Then the distance will be
D² = (-4 - 9)² + (7 + 6)²
D² = 13² + 13²
D² = 169 + 169
D² = 338
D = √338
D = 13√2
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Marcia has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate. the table below shows the information about the two credit cards marcia currently uses. card a card b amount $1,389.47 $1,065.32 apr 16% 12% monthly payment $39.38 $28.05 after 4 years, approximately how much will marcia have saved in interest by consolidating the two balances? a. $1,890.24 b. $133.92 c. $543.84 d. $1,346.40 please select the best answer from the choices provided. a b c d
The amount save by Marcia in interest by consolidating the two balances is $133.92.
What is the total payment for APR of 16%?
The total monthly payment for APR of 16% is calculated as follows;
Total monthly payments for 16% =$39.38x48 = $1890.24
What is the total payment for APR of 12%?Total monthly payments for 12% APR = $36.59*48 = $1756.32
Amount saved by MarciaA = $1890.24 - $1756.32
A = $133.92
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evaluate the expression when m=5 and n=29 n-4m
Answer:
9
Step-by-step explanation:
substitute m = 5 and n = 29 into the expression
n - 4m
= 29 - 4(5)
= 29 - 20
= 9
A cross section of an attic is shaped like a trapezoid. It has an area of 37.4 square meters one base is 6.4 meters and the other base is 12.3 meters long. What is the height of the cross section.
I’m really confused, please give an easy and understanding answer.
Answer:
4meters
Step-by-step explanation:
friend ,for you to calculate this question you have to know the formula which is 1/2 h (a + b) x height. then use the procedure written in the picture of which you should end up dividing as I have then you will eventually get your answer but the key point is that you should know the formula and the number at the right side is the one dividing the area (37.4) not the area dividing the number at the right side which is 9.35 good day.
What is the total amount that Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 percent, compounded annually? TA= P (1+i)^t
Answer:
10,099.80
Step-by-step explanation:
Given: The principal amount (P)= $8,000
The rate of interest (i)= 6 % = 0.06
Time = 4 years
The formula to calculate the compound amount in x years is given by :-
Then the compound amount received by Matthew after 4 years will be:_
Hence, the total amount that Matthew's bank will receive afeter 4 years =$10,099.80
Answer:
$10,099.82
Step-by-step explanation:
Given formula: [tex]\sf TA = P (1+i)^t[/tex]
where:
TA = total amountP = principal amounti = interest rate (in decimal form)t = time (in years)Given:
P = $8,000i = 6% = 0.06t = 4 yearsSubstituting the given values into the formula:
[tex]\implies \sf TA=8000(1+0.06)^4[/tex]
[tex]\implies \sf TA=10099.81568[/tex]
Therefore, the total amount the Matthew's bank will receive is $10,099.82
Write 75 as a product of primes. Use index notation when giving your answer.
Answer:
3 times 5 times 5
need some help!
please be specific on how to do it
Answer:
Your first step in solving the system would be to substitute the value of a variable into one of the equations
Step-by-step explanation:
We know that x = 2y + 2 and y = -1/3x + 4, so we could insert one of these values as the variable in one of the equations
If we were to insert -1/3x + 4 for y, our new equation would be:
x = 2(-1/3x + 4) + 2 (as you can see, the value of y was inserted into the equation)
NEED HELP ASAAAAP
What is the formula of g in terms of f?
A.f(x+2)
B.f(x)-2
C.f(x)+2
D.f(x-2)
Answer:
D.f(x-2)
g is f shifted to the right by 2. So, f(x-2) is the correct answer.
Hope this helps!!!
Please mark me as brainliest!!!
Jodie started washing her car at 10:15 am she finished at 10:50 am how long did it take jody to wash her car.
Answer:
35 minutes
Step-by-step explanation:
this requires us to find out how long it took and because both times given to figure this out are within the same hour it is easy to figure out in this case, 50 - 15 = 35. This is not as simple with all problems like this but because of the times given in this problem its much easier.
GIVING BRAINLIEST!!!!!
What is the probability of pulling a card from a deck of 52 cards and getting a king and a queen?
Answer:
4/52 or 1/13
Step-by-step explanation:
In a standard deck of 52 cards, there are 4 suits and each suit has 13 cards.
There are 4 kings, 4 queens, 4 aces, and 4 jacks.
So the probability of drawing a king would be:
4/52 = 1/13
Answer:
The probability of drawing a King is 4/52 or about . 0769, which is also the probability of drawing a Queen. The probability that a card drawn from the deck will be both a King and a Queen is zero. The probability that a card will be either a King or a Queen is 8/52.
Step-by-step explanation:
52 cards in a deck 4 queens and 4 kings
Keisha has two dogs. The larger dog weighs 1.2 pounds more than the smaller dog. The combined weight of the two dogs is 13.6 pounds. What is the weight, in pounds, of the smaller dog?
Answer:
x = 6.2
Step-by-step explanation:
let ‘x’ denotes the weight of a smaller dog.
“1.2″ + x” be the weight of the larger dog
combined weight = 13.6
smaller dog weight =
x+x+1.2 = 13.6
2x + 1.2 = 13.6
2x = 13.6–1.2
2x = 12.4
x = 12.4/2
x = 6.2 pounds.
Hope you understood it, Happy Learning.