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
A fashion designer wants to know how many new dresses women buy each year. Assume a previous study found the standard deviation to be 1.3. He thinks the mean is 5.5 dresses per year. What is the minimum sample size required to ensure that the estimate has an error of at most 0.1 at the 95% level of confidence? Round your answer up to the next integer.
Answers
Answer:
649
Step-by-step explanation:
Given that
Mean number of dresses is 5.5
Standard deviation of the sample, S.D is 1.3
Margin of error, M.E is 0.1
Level of confidence is 95% or 0.95
The formula for margin of error, M.E is
Z * (S.D/√n) , where
Z = Value for level of confidence which is 1.96
Proceeding further, we have
0.1 = 1.96 * (1.3/√n)
0.1 = 2.548 / √n, making √n subject of formula, we have
√n = 2.548 / 0.1
√n = 25.48, squaring both sides
n = 25.48²
n = 649.23
Therefore the number of sample size we're looking for is n = 649.23, when rounded to the nearest integer, we have it to be 649
Your economics instructor assigns you and a student you do not know a joint project. Assume that you and your partner are both interested in maximizing your grade, but you are both very busy and get more happiness if you can get a good grade with less work. Since you do not know the student, making a credible commitment to how much you are going to work is impossible. Note that on the payoff matrix below, 10/10 is happiest and 1/10 is least happy. This level of happiness is a combination of how much you work and the grade you achieve. Assume that you will have to work on only one project with this partner.
You Work Hard Work Less Hard Grade-A, but you had to work 6 hours. Happiness-6/10 [Grade A, and you only worked 2 hours. Happiness-10/10 Your Partner Work Har Grade-A, but your partner had to work 6 hours. Happiness-6/10 Grade-A, but your partner had to work 10 hours. Happiness 4/10 Work Less Hard Grade-A, but you had to work 10 hours. Happiness-3/10 Grade B, but you only worked 4 hours. Happiness 5/10 Grade A, and your partner only worked 2 hours. Happiness-8/10 Grade- B, but your partner only worked 4 hours. Happiness-5/10 In this game, both you and your partner will collectively work a total of hours on the project.
Answers
Answer:
can you shorten down the question its too long to understand
Step-by-step explanation:
is 3.4567 irrational or rtional
Answers
Answer:
3.4567 is a rational number
Step-by-step explanation:
An irrational number has no ending while a rational number does. An irrational number can not be written as a fraction while a rational number can. Basically, all you have to do to figure out if a number is rational or irrational is to figure out if it has an ending.
For example, if you had 234.888888888 irrational but if the number was 234.98989654 then it would be rational
PLEASE HELP!!!!AND FAST NOT TO RUSH BUT AS SOO.N AS POSSIBLE
Answers
Answer:
I really hope this helps :), 68
The correct Standard Form of the equation y=−2/7x−11/7
Answers
Answer:
y=-(2)/(7)x-5
Step-by-step explanation:
Simplify the algebraic expression by combining like (or similar) terms.
5+9x+2
Answers
Answer:
7 + 9x
Step-by-step explanation:
add 5 and 2 and 9x doesn't have a like term so it stays the same
Answer:
9x + 7
Step-by-step explanation:
Like terms are terms that have the same variables and powers. Here, for 9x, there is no other term that is multiplied by x. So, the only terms we can combine is 2 and 5 which leaves us with 9x+7.
What is the inverse of the function? *
f(x)=3x+1
Answers
Answer:
The inverse of f(x)=3x+1 is f(x)−1=13x−13
Step-by-step explanation:
Answer:
[tex]f(x)^{-1} = \frac{1}{3}x - \frac{1}{3}[/tex]
Step-by-step explanation:
Inverse means the opposite of the original function.
A line has a slope of 9 what is the slope of a line it is perpendicular to this line? *
9
-9
1/9
-1/9
Answers
Answer: -1/9
Explanation: Perpendicular lines have negative reciprocal slopes.
A negative reciprocal slope is a fancy way of
saying flip the fraction and change the sign.
Notice that our slope is an integer.
We can turn it into a fraction by putting it over 1.
So we have 9/1.
A line perpendicular to this would be a negative reciprocal.
So flip the fraction, giving us 1/9, and change the sign to get -1/9.
(4.3 x 10^-3)(2 x 10^-2) in standard form
Answers
Answer:
8.6•10^-5 or 0.000086
PLEASE ANSWER THIS ASAP! SUPER EASY! PLEASE PLEASE WILL MARK YOU BRANLIEST!
Answers
Identify the holes, vertical asymptotes, and horizontal asymptotes of the following.
[tex]f (x) = \frac{2}{x-3}[/tex]
Answers
Answer:
Horizontal asymptote: y = 0
Vertical asymptote: x = 3
Step-by-step explanation:
The vertical asymptote in this graph would be when x = 3 because it would make the denominator 0, which would make the equation undefined.
There will not be any holes in the graph, because there won't be any point undefined in the function except for when x = 3, but that's a vertical asymptote.
Now, for the horizontal asymptote, we see what value y approaches as x approaches plus and minus infinity. Since x is in the denominator, y will approach 0 when it's plus or minus infinity.
Horizontal asymptote: y = 0
Vertical asymptote: x = 3
Find the slope of the line y=-3x+3
Answers
Answer:
Step-by-step explanation:
M = -3
y= mx +b
m stands for slope and -3 is in that position so -3 is your slope
Answer:
⇝ Slope = -3Step-by-step explanation:
The question is asking us to find the slope of the line y = -3x + 3.
Note that the equation is written in slope-intercept form:
y = mx + b
Where:
m = slope (coefficient of x)b = y-intercept (constant)For this problem the coefficient of x is -3, and the constant is 3.
Therefore, the slope is -3.
A coin is about to be tossed 50 times. Determine the probability the 8th heads occurs on the 12th toss
Answers
Answer:
0.0806
Step-by-step explanation:
From the given information:
Number of toss = 50
The probability of having a head = 1/2 = 0.5
The Probability of 8th head occur on 12th toss can be computed as :
Pr(8th head occur on 12th toss) = Pr(7 heads in 11 toss) × P(8th head on 12th toss)
Pr(8th head occur on 12th toss) = C(11,7) × 0.5⁷ × (1 - 0.5)⁴ * 0.5
Pr(8th head occur on 12th toss) = [tex]\dfrac{11!}{7!(11-7)!}[/tex] × 0.5⁷ × (1 - 0.5)⁴ × 0.5
Pr(8th head occur on 12th toss) = 0.0806
Answer:
The probability of 8th heads,
That is occurred on 12th toss.
Step-by-step explanation:
A coin is tossed 50 times.
There are two possible outcomes of occurring a head or tail.
Probability of occurring head = no.of head/ possible outcomes
= 1/2
Total number of tossing a coin= 50 times
Probability of 8th heads occurs on 12th toss:
12C8 (1/2)8 (1/2)9 (1/2)10 (1/2)11 (1/2)12
= 12C8 (1/2)8+9+10+11+12
= 12C8 (1/2)50
= 12C8 / 250
= 495 / 1125899906842624
= 4396.48317752 x 10-16
This is the probability of 8th heads,
That is occurred on 12th toss.
is 1.05 a terminating decimal
Answers
Answer:
No
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
solve the following equation for a: -g + 3/4a = y
Answers
9514 1404 393
Answer:
a = (4/3)(y+g)
Step-by-step explanation:
Isolate 'a' term, then multiply by the reciprocal of its coefficient.
[tex]-g+\dfrac{3}{4}a=y\qquad\text{given}\\\\\dfrac{3}{4}a=y+g\qquad\text{add $g$}\\\\\boxed{a=\dfrac{4(y+g)}{3}}\qquad\text{multiply by $4/3$}[/tex]
whats 62.7×2.45......?
Answers
Answer:
153.615
Step-by-step explanation:
62.7 × 2.45=153.615
Evaluate 8 ÷ -2 · 4²+9. Thanks! Will give brainiest if possible
Answers
I need help I don't understand
Answers
Answer:
96.9
Step-by-step explanation:
A little bit of this and allit;e bit of that
i mark as brainliest
Answers
Answer:
I want to say 6.75 just because it's to small tho
Step-by-step explanation:
Answer:It's -6.75 because you can see the halfway point and how the dot is closer to -7 than -6 meaning it's bigger than -6.5
Step-by-step explanation:
Which inequality is true?
Answers
Answer:
8 pi > 24 true
Step-by-step explanation:
12/pi >4
12 > 4pi
pi is slight greater than 3
12 > 4* a number greater than 3
12 > a number greater than 12 false
pi + 3 < 6
a number slightly greater than 3 + 3 < 6
a number lightly greater than 6 < 6 false
8 pi > 24
8 * a number slightly greater than 3 > 24
a number greater than 24 > 24 true
6 - pi > 3
6 - a number slightly greater than 3 > 3
a number less than 3 > 3 false
Alice has x dollars in her bank account. She deposits $75 in her account. After the deposit, the account has $550. Write an equation that could be used to figure out how much money was in her account before the deposit.
Answers
Answer:
$475
Step-by-step explanation:
$550 - $75 = $475
$475 = x
Answer:
The answer would be $550-$75
Step-by-step explanation:
This would give you how much money was in her account before she adds the deposit.
how to construct cuboid net? what should be the measurement (around 1-5)?
Answers
the measurement should be 4
What operation is happening in an additive pattern??
Multiplication
Subtraction
Addition
Division
Answers
Answer:
Addition
Step-by-step explanation:
If it has the word "add" in it it's probably addition.
Answer:
The answer is addition.
Step-by-step explanation:
iiii need heeelllppp with this one
Answers
Step-by-step explanation:
line passes through the point (5,0) and another one (0,3)
equation of the line passing through two points is
x-x1/x2-x1=y-y1/y2-y1
so
x-5/0-5=y-0/3-0
(x-5)*3=y*(-5)
3x-15+5y=0
this is the equation of the line shown in the graph
How many sandwiches must you sell to make $100 profit
Answers
Answer:
About 25 sandwiches...
Step-by-step explanation:
Answer:
67 sandwiches
Step-by-step explanation:
If you invest 250 dollars to start, you're currently -250. If you gain 5.25 per sandwich you sell, you'd need to sell about 67 sandwiches.
I'm not entirely sure what your question meant though. If the question is simply asking how many sandwiches it would take to make 100 dollars, it would be about 20 sandwiches. If the question is asking how many sandwiches you'd need to sell to gain 100 dollars in profit, covering the cost of the cart, it would be about 67 sandwiches.
The five young women who live in the houses shown on the plan below are currently at the salon, having their hair styled. Where does each woman live, and what is the color of her hair?
Clues:
1. The young woman with blonde hair lives next to and south of Arianna, who lives directly east of LaDonna.
2. Sara lives next to and south of Martha.
3. One of the five lives directly east of Joi, who lives farther north than the woman with silver hair.
4. The young woman with purple hair lives next to and north of the woman with black hair.
Answers
Answer:
Sara lives next to south of Maratha and has black hairs.
One women lives at the east of joi has purple hairs.
One women who has silver hairs lives in Moldova which is north to Joi.
The young women with blond hairs lobe to south of Arianna.
Step-by-step explanation:
There are five women who are at the salon for their hair care services. All of the women have different colored hairs. The women with blonde hairs live in Arianna which is south wast to the women who lives in Joi. The women who lives in Joi has purple hairs.
What is a reasonable estimate of -3 4/5 + (-5.25) and the actual value?
Answers
Answer:
The actual value is -181/20. Estimate could be -200/20
Step-by-step explanation:
Anita is baking dinner rolls and pumpkin bread. She needs 4 cups of flour for the rolls. She needs at least 7 cups of flour left for the pumpkin bread. Write
and solve an inequality to determine how much flour Anita needs before she
starts baking.
Answers
Answer:
x-4>=7
Step-by-step explanation:
x- how much flour needed at the start
x-4 used for rolls
How do I solve this?
Answers
Answer:
Step-by-step explanation:
Slope= -3/1
plot from point (-2,4)
Answer:
Step-by-step explanation:
Just so that we have something to work with, the length of the longest day (June 22) in Acron Ohio is 15 hours 8 minutes and 9 seconds on the 20th of June of this year. The number we get won't be this accurate, but it will tell us if we have done it correctly. The tricky part is when to use the radians.
cos(0.1309 H) = -0.4336 tan (40o 46 minutes) I have assumed this is in radians. It won't work any other way. The measurement cannot be in degrees which will give a negative tan from the minus sign out in front. The cos being minus will make things even worse.
cos(0.1309 H) = -0.4336 tan (40 46/60 )
cos(0.1309 H) = -0.4336 tan (40.766666667)
cos(0.1309 H) = -0.4336 * -0.074173405
cos(0.1309 H) = 0.032161588
0.1309 H = cos-1(0.032161588)
0.1309 H = 1.538629191
H = 1.538629191 / 0.1309
H = 11.754 which is no where near 15 hours, but it is what the numbers give.
I would suggest that you go to your instructor for the other two. Work this one out until you get somewhere near 11.7 hours.
The other two cities should come to something near this answer.
Given parallelogram ABCD, the measure of angle C
Answers
Answer:
70 is the answer to the question
Answer:
[tex]70^{o}[/tex]
Step-by-step explanation:
Opposite angles in a parallelogram are equal. The opposite angle to A is C and we are trying to find angle C. Therefore, <C = <A, therefore, <c= 70 degrees