Answers
Answer:
[tex]AC=15.9976[/tex]
Step-by-step explanation:
Law of Sines: [tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]
Step 1: Define
a = 8 ft
A = 30°
b = ?
B = 89°
Step 2: Substitute and Evaluate
[tex]\frac{sin(30)}{8} =\frac{sin(89)}{b}[/tex]
[tex]bsin(30)=8sin(89)[/tex]
[tex]b=\frac{8sin(89)}{sin(30)}[/tex]
[tex]b=16cos(1)[/tex]
[tex]b=15.9976[/tex]
[tex]AC=15.9976[/tex]
Related Questions
What is the least common denominator for the fractions 1/6and3/4?
Answers
6 x 2 = 12
4 x 3 = 12
How does 5(x - 3) = 7x ÷ 2 become 10(x - 3) = 7x?
a.) Division Property
b.) Addition Property
c.) Multiplication Property
d.) Subtraction Property
Answers
subtract 8 from the input to get the output
divided the input by 3 to get the output
Answers
Answer: that will be 5
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
"An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. Suppose that the mean income is found to be $20.3 for a random sample of 2333 people. Assume the population standard deviation is known to be $11.3. Construct the 98% confidence interval for the mean per capita income in thousands of dollars. Round your answers to one decimal place."
Answers
Answer: ($19.8, $20.8)
Step-by-step explanation:
Confidence interval for mean : [tex]\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}[/tex] , where [tex]\overline{x}[/tex] = Sample mean, n= sample size, [tex]\sigma[/tex] = population standard deviation, z* = two tailed critical z-value.
Given: [tex]\overline{x}[/tex] = $20.3
n= 2333
[tex]\sigma[/tex] = $11.3
For 98% confidence, z* = 2.326
Then, the98% confidence interval for population mean will be:
[tex]20.3\pm (2.326)\dfrac{11.3}{\sqrt{2333}}\\\\=20.3\pm (2.326)\dfrac{11.3}{48.3011387}\\\\=20.3\pm (0.544165224825)\\\\\approx 20.3\pm 0.5\\\\=(20.3-0.5,\ 20.3+0.5)\\\\=(19.8,20.8)[/tex]
Hence, the 98% confidence interval for the mean per capita income in thousands of dollars = (19.8, 20.8)
how do you solve 1/2x=6
Answers
Answer:
x=12
Step-by-step explanation:
multiply 2 from both sides to isolate x
then u should end up with 1x=12
what is the constant in 15-8y
Answers
Answer:
15
Step-by-step explanation:
15 doesn’t have variable next to it
8 would be a coefficient
I don't understand this question can you help pls
Answers
Answer:
yes, it would change because the place value
Find three nonzero vectors a, b, and c such that a × b = a × c != 0 but b != c.
Answers
9514 1404 393
Answer:
a = {1, 2, 3}, b = (2, 4, 7}, c = (-3/14, -3/7, 5/14}
Step-by-step explanation:
For the above vectors, ...
a × b = a × c = (2, -1, 0)
__
Here, c is found to be a scaled version of (a×(a×b)).
A closet is 3 yards wide. What is its width in inches?
Answers
Answer:
The closet is 108 inches wide.
Step-by-step explanation:
Because 1 yard is 36 inches, and 36 times 3 is 108.
A population has standard deviation g = 17.2.
Part 1 of 2
(a) How large a sample must be drawn so that a 99.8% confidence interval for I will have a margin of error equal to 3.8?
Round the critical value to no less than three decimal places.
Round the sample size up to the nearest integer.
A sample size of is needed to be drawn in order to obtain a 99.8% confidence interval with a margin of error equal to
3.8.
Part 2 of 2
(b) If the required confidence level were 80%, would the necessary sample size be larger or smaller?
(Choose one) because the confidence level is (Choose one)
х
Answers
Answer:
idk
Step-by-step explanation:
a rectangular room has an area of 384 sq feet with floor tiles covering one part of it and carpet covering the rest. the tile part is 8 ft long. the carpeted part is 24 ft long. what is the width of the room?
Answers
8 + 24 = 32 feet long
Area = length x width
384 = 32 x width
Width = 384/32
Width = 12 feet
Answer: The room is 12 feet wide.
Step-by-step explanation: 8+24= the total length of the room. The area of anything divided by either the width or the length always gives you the missing measurement. So, 8+24=32. 384/32=12. You can check any answer you get doing one operation by taking the information you get and preforming the inverse (opposite) operation. Since the opposite of division is multiplication, all you have to do to check your answer is this: 32*12=384.
check whether the given value of x in the solution to the equation.
Answers
Answer: Yes
Step-by-step explanation: Here, we want to decide
if 2 is a solution for the equation 4n - 3 = -2n + 9.
We can do this by simply plugging in 2 for n.
If the statement holds true, then 2 is a solution.
Plugging in 2 for n, we have 4(2) - 3 = -2(2) + 9.
Remember that a negative times a positive is a negative.
So we have 8 - 3 = -4 + 9.
Simplifying further, we have 5 = 5.
Notice that 5 = 5 is a true statement.
So yes, 2 is a solution for the equation 4n - 3 = -2n + 9.
The inverse of a function is a function. True or False
Answers
Answer:
false
Step-by-step explanation:
Answer:
TrueStep-by-step explanation:
The inverse of a function may not always be a function! The original function must be a one-to-one function to guarantee that its inverse will also be a function.
If the graph does not pass the Horizontal Line Test, then the graphed function's inverse will not itself be a function
Find the slope and y-intercept of the line
f(x) = 4x - 6
Answers
Slope: 3/2
Y-intercept: -6
Answer:
y=mx+b m= rise/run b= y-intercept (0,b)
hope this helps
Step-by-step explanation:
Plz do fast I need it for a test The front view of a tent is.shown below if a zipper.is going to be put in along the length x how long should the.zipper be
Answers
Answer:
x=15ft
Step-by-step explanation:
a^2+b^2=c^2
8^2+b^2=17^2
b^2+64=289
b^2=225
b=15
1
6 + 10 ÷ 2 − 32 = ?
A.
2
B.
1
C.
0
D.
−1
E.
−2
Answers
Answer:
b
Step-by-step explanation:
its b
Which expression has the same value as -18÷(-9)?
A-18-2
B-12÷(-3)
C-10÷5
D-6÷(-4)
Answers
Answer:
None of the followingStep-by-step explanation:
-18 ÷ (-9) = 18 ÷ 9 = 2
A. -18 - 2 = -(18 + 2) = -20 ≠ 2
B. -12 ÷ (-3) = 12 ÷ 3 = 4 ≠ 2
C. -10 ÷ 5 = - 2 ≠ 2
D. -6 ÷ (-4) = 6 ÷ 4 = 1.5 ≠ 2
Silvi has a coupon for $5 off any one item at her favorite store. She must pay 6% sales tax on the discounted price. Which of the following functions represents Silvi's final cost, c, for an item with an original price of x dollars?
Answers
Answer:
vz
Step-by-step explanation:
The requried function that represents Silvi's final cost for an item with an original price of x dollars is c(x) = 1.06x - 5.3.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Let's break down the problem into steps to determine the function that represents Silvi's final cost:
Apply the $5 discount to the original price x:
New price = x - 5
Calculate the amount of sales tax on the discounted price:
Sales tax = 0.06 * (x - 5)
Add the sales tax to the discounted price to get the final cost:
Final cost = (x - 5) + 0.06 * (x - 5)
Simplifying this expression, we get:
Final cost = 1.06x - 5.3
Therefore, the function that represents Silvi's final cost for an item with an original price of x dollars is c(x) = 1.06x - 5.3.
Learn more about function here:
brainly.com/question/21145944
#SPJ3
f(x) =2x-4 and g(x) =-3x+2 find: f(g(x))
Answers
Answer:
f(g(x))=6x-8
Step-by-step explanation:
To keep it simple lets say if , for example
[tex]f(x)=2x-4[/tex]
then f(2) would be what?
[tex]f(2)=2(2)-4\\f(2)=0[/tex]
which means we plugged in x=2 in our f(x) this goes for same as the composite function [tex]f(g(x))[/tex] where we plug in g(x) in f(x) and replace x with g(x). I'll show you
[tex]f(x)=2x-4\\g(x)=-3x+2\\[/tex]
now we insert g(x) in f(x) cause we need f(g(x)) which means we replace x with the function g(x).
[tex]f(g(x))=-2(-3x+2)-4[/tex]
[tex]f(g(x))=6x-4-4\\f(g(x))=6x-8[/tex]
so that is our final answer.
Hope i helped
A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 2 in a thousand. Identify the type I error for the test.
A. Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually less than 2 in a thousand.
B. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.
C. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually less than 2 in a thousand.
D. Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually greater than 2 in a thousand.
Answers
Answer:
B. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand
Step-by-step explanation:
The type I error is rejection of true null hypothesis.
In the given scenario our hypothesis are
Null hypothesis: The proportion of Americans that have seen a UFO is equal to 2 in a thousand.
Alternative hypothesis: The proportion of Americans that have seen a UFO is less than 2 in a thousand.
Type I error is the rejection of true null hypothesis so, in this case type I error is rejection of claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.
You have $150 in a savings account and you have some cash. The tape diagram represents the ratio of the amounts of money. You want to have twice the amount of money in your savings account as you have in cash. How much of your cash should you deposit into your savings account?
Answers
Answer: $200
Step-by-step explanation:
We know that:
You have $150 in a savings account.
This is represented with two tiles.
Then each tile represents:
$150/2 = $75
And in cash you have 5 tiles, then in cash you have:
5*$75 = $375.
Then the problem is:
You have $150 in the savings account
You have $375 in cash.
You want to deposit a quantity such that you have twice the amount of money in your savings account as you have in cash.
Suppose that you move a quantity X from cash to the savings account, then now we have the situation:
Sav. Acc. = $150 + X
Cash = $375 - X
And we want that:
Sav. Acc. = 2*Cash
($150 + X) = 2*($375 - X)
Let's solve this for X.
$150 + X = $750 - 2*X
3*X = $750 - $150 = $600
X = $600/3 = $200
You should deposit $200 in the Savings acount.
Tape diagrams are used to represent numbers as a ratio
$200 from the cash should be deposited into the savings account
Represent the amount in the savings account with s, and the cash with c.
So, we have the following ratio from the tape diagram
[tex]\mathbf{s : c = 2 : 5}[/tex]
You have $150 in the savings account.
So, the ratio becomes
[tex]\mathbf{150 : c = 2 : 5}[/tex]
Express as fractions
[tex]\mathbf{\frac c{150}= \frac 52}[/tex]
Multiply both sides by 150
[tex]\mathbf{c= \frac 52 \times 150}[/tex]
[tex]\mathbf{c= 375}[/tex]
Let the deposited amount be x.
Twice the amount in the savings account as cash means that:
[tex]\mathbf{150 + x = 2 \times (375 - x)}[/tex]
Open brackets
[tex]\mathbf{150 + x = 750 - 2x}[/tex]
Collect like terms
[tex]\mathbf{2x + x = 750 - 150}[/tex]
[tex]\mathbf{3x = 600}[/tex]
Divide both sides by 3
[tex]\mathbf{x = 200}[/tex]
Hence, $200 from the cash should be deposited into the savings account
Read more about tape diagrams at:
https://brainly.com/question/22960561
There are (26)3⋅ 20 bacteria in a sample. What is the total number of bacteria in the sample? (1 point)
Answers
Answer: If we multiply then I guess it’s 26*3=78 and 78*20=1,560
Step-by-step explanation:
PLSSSSSS 15 POINTS
create a discount booklet using
actual advertisements available right
now. Use newspaper or flyers. Must
have actual ads for the work. You
must show your calculations for each
ad.
Answers
It's supposed to represent half of what the people who answer are getting but in total you ow 15 or 16 so it takes that amount
Answer:
You cant make this..
Step-by-step explanation:
I mark as brainliest
Answers
Answer:
D
Step-by-step explanation:
Its d Reason is if she has 5 and he has 10 he has twice as much
What is the equation of the polynomial graphed below? NEED HELP ASAP! Will give Brainliest!
Answers
Answer: The answer I believe is 4
Which equation represents a line which is parallel
to the line y
=
-2 +62
Answers
YOU ARE GIVEN AN APPLE AS A WEAPON...WHAT DO YOU DO NEXT?
(A) Keep the doctor away?
(B) Throw it hard enough to keep people away
DAILY DOSE OF MEMES TRY NOT TO OD PEEEPS
Answers
Answer:
a
Step-by-step explanation:
If you make your enemy's doctor away he will die of sickness
5x-(x+3)=1/3(9x+18)-5
Answers
Answer: x=4
Step-by-step explanation:
slope = 3/2, (2,7) is on the line
Answers
Answer:
The answer would be 4.5
Omar made $144 for 12 hours of work.
At the same rate, how much would he make for 8 hours of work?
Please help
Answers
Answer:
96
Step-by-step explanation:
144/12= 12 ( each hour)
12( times) 8=96
Since they got 144 for 12 hours you have to divide the hours by the money to get the amount earned ever hour so you divide the total amount by the hour then use the information you got and then you multiply the amount of money by 8