Answer:
See explanation
Step-by-step explanation:
Given
The attached triangle
Required
Complete the ratios
(a) sin B
[tex]\sin(B)[/tex] is calculated as:
[tex]\sin(B) = \frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin(B) = \frac{b}{c}[/tex]
(b) cos B
[tex]\cos(B)[/tex] is calculated as:
[tex]\cos(B) = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos(B) = \frac{a}{c}[/tex]
(c) tan B
[tex]\tan(B)[/tex] is calculated as:
[tex]\tan(B) = \frac{Opposite}{Adjacent}[/tex]
[tex]\tan(B) = \frac{b}{a}[/tex]
(d) tan A
[tex]\tan(A)[/tex] is calculated as:
[tex]\tan(A)= \frac{Opposite}{Adjacent}[/tex]
[tex]\tan(A) = \frac{a}{b}[/tex]
(e) cos A
[tex]\cos(A)[/tex] is calculated as:
[tex]\cos(A) = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos(A) = \frac{b}{c}[/tex]
(f) sin A
[tex]\ain(B)[/tex] is calculated as:
[tex]\sin(B) = \frac{Opposite}{Adjacent}[/tex]
[tex]\sin(B) = \frac{a}{c}[/tex]
Milauskasville Middle School's Crazy Hair Club sold tickets to it's "Hair Today, Gone Tomorrow" talent show. A total of 55 tickets were sold in the amount of $176.50. If adult tickets cost $3.75 and student tickets cost $2.00, how many adult tickets and student tickets were sold?
Answer:
I'm not 100% positive, but I think it's 30
Need help asap! Please and thank you
Answer:
the solutions are _2 and 3/4 so the answer is option D
Assume that y varies inversely with x. If y = 7 when x = 2/3, find y when x = 7/3.
y = [?]
Answer:
y = 2
Step-by-step explanation:
varies inversely
xy = k
y = 7 when x = 2/3
(2/3)7 = k
14/3 = k
k = 14/3
--------------------
find y when x = 7/3
(7/3)y = 14/3
multiply both sides by 3/7
y = 14/3 * 3/7
y = 2
Answer: y = 2
Step-by-step explanation: When we have two sets of inversely related coordinates, x₁ and y₁, and x₂ and y₂, we can use the product rule, shown below, to find the missing value.
x₁y₁ = x₂y₂Since we know that y = 7 when x = 2/3, one set of coordinates will be 7 and 2/3 and since we want to find the value of y when x = 7/3, our other coordinates will be 7/3 and y.
(2/3)(7) = (7/3)(y)
So we have 14/3 = 7/3y and solving for y from here, we find that y = 2.
What line describes the line parallel to y= -1/3x+5 ?
Answer:
C. y = -1/3 + 1
Step-by-step explanation:
Parallel equations have the same slope.
Question 4 of 10
In a group of 30 students, the probability that at most 25 of them like to swim
is 56%. What is the probability that at least 26 of them like to swim?
A. 38%
B. 44%
C. 55%
D. 62%
Answer:
its a
Step-by-step explanation:
If f(x) = x + 1, and g(x) = 2x,
then
f(g(x)) = [ ? ]x + [ ]
Answer:
2x+1
Step-by-step explanation:
f(g(x))= (2x)+1
(2)x+1
A triangle has sides with lengths of 12 yards, 16 yards, and 20 yards. Is
it a right triangle? Yes or No
m to third power
n if m = 4 and n= 5
solution to 3/x + 2/(x+1) = 3/5x?
9514 1404 393
Answer:
x = -6/11
Step-by-step explanation:
We assume you want the solution to ...
3/x +2/(x+1) = 3/(5x)
Subtracting the term on the right, we get the form f(x) = 0.
[tex]\displaystyle\frac{3}{x}+\frac{2}{x+1}-\frac{3}{5x}=0\\\\\frac{15-3}{5x}+\frac{2}{x+1}=0\\\\\frac{12(x+1)+10x}{5x(x+1)}=0\\\\22x+12=0\quad\text{numerator must be zero}\\\\x+\frac{6}{11}=0\quad\text{divide by 22, simplify}\\\\\boxed{x=-\frac{6}{11}}[/tex]
_____
If you really intend 3/x +2/(x+1) = (3/5)x as you have written, the solution is 3 irrational values for x. I find a graphing calculator a convenient way to find them.
Please help song for b
A special offer at the grand opening of a new theater has tickets discounted at 8%.
If the tickets sell for $12, how much will you pay after the discount?
Answer:
you would pay $11.04
Step-by-step explanation:
$12 x .08= .96
$12 - 0.96 = $11.04
Answer:
11.04
Step-by-step explanation:
So, a ticket cost 12$.
We need to find the price when it of 8% off, whihc is tecnically 92% of the orginal price.
Putting this into decimal form:
0.92
So to find this price, we need to multiply the orginal price by the percentage:
12*0.92
0.02*12 is 2*24 adding 2 decimals which equals 0.24
0.9*12 is 12*9 adding 1 deecimal which equals 10.8
Add them together: 0.24+10.8 = 11.04
So 11.04 is our new cost.
Hope this helps!
What is the circumference
Answer:
37.68 cm
Step-by-step explanation:
Formula = 2πr
2 * 3.14 * 6
3.14 * 12 = 37.68
37.68 cm
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
37.68 the first answer
Step-by-step explanation:
30 ponts
9x+1-7x=20 what does x equal?
Answer:
[tex]x = 9.5[/tex]
Step-by-step explanation:
Combine like terms
[tex]9x + 1 - 7x = 20 \\ 2x + 1 = 20[/tex]
Now simply solve
[tex]2x + 1 = 20 \\ 2x = 20 - 1 \\ 2x = 19 \\ \frac{2x}{2} = \frac{19}{2} \\ x = 9.5[/tex]
hope this helps you.
Which function has a period of 4pi
Answer:
y=1/2sin(1/2x)
Step-by-step explanation:
because i use my brain to count
Compare the quantity in Column A with the
quantity in Column B.
It Is My Work From My Laptop
An unconditional acceptance into a graduate program at a university will be given to students whose GMAT score plus 100 times the undergraduate grade point average is at least 1075. Robbin's GMAT score was 800. What must her grade point average be in order to be unconditionally accepted into the program?
Robbin's grade point average must be at least ___ in order to be unconditionally accepted into the program.
Answer:
Robbin's grade point average must be at least 2.75 in order to be unconditionally accepted into the program.
Step-by-step explanation:
An unconditional acceptance into a graduate program at a university will be given to students whose GMAT score plus 100 times the undergraduate grade point average is at least 1075.
This means that:
[tex]x + 100y \geq 1075[/tex]
In which x is the GMAT score and y is the GPA.
Robbin's GMAT score was 800.
This means that [tex]x = 800[/tex]
What must her grade point average be in order to be unconditionally accepted into the program?
We have to solve the inequality for y. So
[tex]x + 100y \geq 1075[/tex]
[tex]800 + 100y \geq 1075[/tex]
[tex]100y \geq 275[/tex]
[tex]y \geq \frac{275}{100}[/tex]
[tex]y \geq 2.75[/tex]
Robbin's grade point average must be at least 2.75 in order to be unconditionally accepted into the program.
determine using pascal's method. (2p-3q)^5=(p-q)^5
If AABC ~ ADEF, what is the length of DE?
WILL GIVE BRAINIEST TO THE RIGHY ANSWER NEED HELP ASAP check the picture
Answer:
21 units
Step-by-step explanation:
[tex] \triangle ABC\sim \triangle DEF... (given) [/tex]
[tex]\huge \therefore \frac{AB}{DE} =\frac{BC}{EF}.. (csst) [/tex]
[tex] \huge \therefore \frac{8.4}{x} =\frac{10}{25} [/tex]
[tex] \huge \therefore x=\frac{25\times 8.4}{10} [/tex]
[tex] \huge \therefore x=\frac{210}{10} [/tex]
[tex]\huge \therefore x=21 [/tex]
Hence, length of DE = 21 units
Which number is a multiple of 9? A) 47 B) 56 C) 64 D) 72
Answer
72is the multiple of 9
can someone help me please! it's dude today in 30 minutes & i am having a hard time .
x = 109
Step-by-step explanation:
1. All of a triangles angles will add up to 180 degrees
2. Take 180 then subtract 48 from 180
3. Your new number is now 132. Take 132 then subtract 23.
4. Answer is 109
Answer:
x=109°
Step-by-step explanation:
In a triangle, all the angles have to add up to 180° and so add and then subtract to find x
48+23=71
180-71=109
so, x=109°
at a Noodles & Company restaurant the probability that a customer will order a non alcoholic beverage is .48. find the probability that in a sample of 12 customers none of the 12 customers order a non-alcoholic beverage.
How do I find this?
Answer:
Probability is 0.00039, or about a 0.039% chance of occurrence
Step-by-step explanation:
Because you know that p=0.48 is the probability that a customer will order a non-alcoholic beverage, then q = 1-p = 1-0.48 = 0.52 is the probability that a customer won't order a non-alcoholic beverage. Because 12 customers are involved, then by the binomial theorem, the probability that none of the 12 customers order a non-alcoholic beverage is p = (0.48)⁰(0.52)¹² ≈ 0.00039 or 0.039%
Surface area of a cylinder. (see attached image please)
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
Firstly you need to remember the formula to find out surface area of a cylinder - Surface area of a cylinder = 2πr ( r + h ) where r is the radius of a circular face and h is the height of the cylinder.We're provided : Diameter of cylinder = 12 which means radius ( r ) = 6 cm [ Radius is the half of diameter ] & Height ( h ) = 25 cm & we know pi ( π ) = 22/7.[tex] \large{ \tt{❁ \: LET'S \: SOLVE}} : [/tex]
[tex] \large{\boxed{ \tt{☄TOTAL \: SURFACE \: AREA \: OF\: CYLINDER= 2\pi \: r \: ( \: r + h)}}}[/tex]
- Plug the values & then simplify !
[tex] \large{↦2 \times \frac{22}{7} \times 6(6 + 25) }[/tex]
[tex] \large{↦2 \times \frac{22}{7} \times 6 \times 31}[/tex]
[tex] \boxed{\large{↦1169.14 \: \tt{ {cm}^{2} }}}[/tex]
Hence , The surface area of given cylinder is 1169.14 cm²✺ Stay dedicated because great things takes time! ♪
シHope I helped! ♡
☃Have a wonderful day / evening ! ☼
# StayInAndExplore !☂
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Which expression is equivalent to the expression -3(4x - 2) - 2x ?
Answer:
-14x + 6
Step-by-step explanation:
-3(4x - 2) - 2x
-12x + 6 - 2x
-14x + 6
A store offered a buy one get one free sale for a popular shirt. The manager noticed that 35% of consumers bought a red shirt, 25% a blue, and 40% a green. Assume all consumers bought either two shirts or none at all, but no consumer buys two shirts of the same color. How many consumers did not buy any of these shirts
Answer:
50%
Step-by-step explanation:
Let X = Green and red
Y = Red and blue
Z = Green and blue
( Buy green or red or blue )
⇒ (x + y) + (y + z) + (z + y) = 25 + 40 + 25
⇒ 2( x + y + z) = 100
∴ x + y + z = 50
Buy at least one shirt = 50%
So, did not buy any shirt = 100 - 50
= 50%
4. If z, a+bi and z, c+di represent two complex numbers with real components a, b, c and d, then which of the following represents the coefficient of i in the product of z, and z,?
(1) ac-bd
(2) ad-be
(3) ab+cd
(4) be+ad
Answer:3
Step-by-step explanation:
Before you factor you should check what two things?
Answer:
I put all the steps to factoring, hopefully this helps! ^^
Step-by-step explanation:
-Check for common factors. If the terms have common factors, then factor out the greatest common factor (GCF) and look at the resulting polynomial factors to factor further.
-Determine the number of terms in the polynomial.
-Look for factors that can be factored further.
-Check by multiplying.
I need help
Cristina and Kori both leave the restaurant at the same time, but in opposite directions. If Kori travels 9 mph faster than Cristina and after 6 hours they are 186 miles apart, how fast is each traveling?
Carrie left the restaurant traveling 12 mph. Then, 4 hours later, Leah left traveling the same direction at 24 mph. How long until Leah catches up with Carrie?
Paige started biking to the mall traveling 8 mph, after some time the bike got a flat so Paige walked the rest of the way, traveling 5 mph. If the total trip to the mall took 8 hours and it was 46 miles away, how long did Paige travel at each speed?
Answer:
Question 1)
Cristina is traveling 11 miles per hour and Kori is traveling 20 miles per hour.
Question 2)
Four hours.
Question 3)
Paige spent two hours biking and six hours walking.
Step-by-step explanation:
Question 1)
Let Cristina's speed be x.
Kori travels 9 miles per hour faster than Cristina. So, Kori's speed is (x + 9).
After six hours, Cristina would have traveled 6x miles and Kori would have traveled 6(x + 9) miles.
Since Kori traveled in the opposite direction, we can place a negative to represent this. So, after six hours, Kori is -6(x + 9) miles away from the restaurant while Cristina is 6x miles away from the restaurant.
Since the distance between them is 186 miles, the difference of the two expressions is 186. Hence:
[tex](6x)-(-6(x+9))=186[/tex]
Distribute:
[tex]6x-(-6x-54)=186[/tex]
Distribute:
[tex]6x+6x+54=186[/tex]
Simplify:
[tex]12x=132[/tex]
Hence:
[tex]x=11[/tex]
Cristina's speed is 11 miles per hour. Thus, Kori's speed is 20 miles per hour.
Question 2)
Let h represent the amount of time that has passed in hours.
Carrie left the restaurant traveling 12 miles per hour.
Four hours later, Leah left traveling in the same direction at 24 miles per hour.
After four hours, Carrie would have traveled 12(4) = 48 miles.
Carrie would still be traveling at 12 miles per hour. So, her distance from the restaurant is given by:
[tex]12h+48[/tex]
Since Leah just left and is traveling at a rate of 24 miles per hour, her distance from the restaurant is given by:
[tex]24h[/tex]
Leah will catch up when the two expressions are equivalent. Hence:
[tex]12h+48=24h[/tex]
Solve for h:
[tex]12h=48\Rightarrow h=4[/tex]
Leah will catch up with Carrie in four hours.
Question 3)
Let x represent the amount of hours spent biking and y represent the amount of hours spent walking.
The total trip to the mall took eight hours. Hence:
[tex]x+y=8[/tex]
The mall is a total of 46 miles away. Since Paige bikes at a rate of 8 miles per hour and walks at a rate of five miles per hour:
[tex]8x+5y=46[/tex]
Solve the system. We can use elimination. Multiply the first equation by -5:
[tex]-5x-5y=-40[/tex]
We can add this to the second equation:
[tex]3x=6[/tex]
Hence:
[tex]x=2[/tex]
Using the first equation again:
[tex](2)+y=8\Rightarrow y=6[/tex]
So, Paige spent two hours biking and six hours walking.
which of the following values are in the range of the function graphed below?
Answer:
f)0
Step-by-step explanation:
For the sample standard deviation(s) for situations involving means, explain whether it affects the width of a confidence interval, the center of a confidence interval, neither, or both.
Answer:
Affects the width of a confidence interval, as the margin of error is a function of the sample standard deviation.
Step-by-step explanation:
When we have the standard deviation for the sample, the t-distribution is used to solve the question.
It does not affect the center of the interval, which is a function only of the sample mean.
Width of a confidence interval:
The width of a confidence interval is a function of the margin of error, which is:
[tex]M = t\frac{s}{\sqrt{n}}[/tex]
In which s is related to the sample standard deviation. Thus, since s and M are directly proportional, a higher standard deviation makes the interval wider, lower standard deviation makes the interval narrower, and thus, the sample standard deviation affects the the width of a confidence interval.
With sales tax, it costs $707 to buy a $700 dining room table. What is the sales tax
percentage?
Write your answer using a percent sign (%).
Answer:
1%
Step-by-step explanation:
707-700=7 tax
700 x tax percentage=7
tax percentage =7/700
Tax percentage= .01 0r 1%
