Answer:
y = 3,254.3 yd
Step-by-step explanation:
Lets denote with 'x' and 'y' the distances we need to find.
Using the Law of Sines we can write:
x/(sin 76) = 1175/(sin(180 - (83 + 76))
x/(sin 76) = 1175/(sin 21)
x = 3,181.4 yd
y/(sin 83) = 1175/(sin(180 - (83 + 76))
y/(sin 83) = 1175/(sin 21)
y = 3,254.3 yd
The platform is 3,181.4 yards far from one end of the beach and 3,254.3 yd far from the other.
The distance of the oil platform is 3708.82 yards, from each end of the beach.
Given that,
The figure shows a 1300-yard-long sand beach and an oil platform in the ocean.
The angle made with the platform from one end of the beach is 84 degrees and from the other end is 76 degrees.
We have to determine,
The distance of the oil platform, to the nearest tenth of a yard, from each end of the beach.
According to the question,
Let x be the distance of the sand beach,
And y be the distance of oil platform.
The distance of the oil platform of a yard, from each end of the beach, is determined by using the sin rule,
[tex]\rm \dfrac{x}{sina} = \dfrac{y}{sinb}\\\\ \dfrac{x}{sin76} = \dfrac{1300}{sin(180-(84+76))}\\\\ \dfrac{x}{0.97} = \dfrac{1300}{sin(180-160)}\\\\\dfrac{x}{0.97} = \dfrac{1300}{sin20}\\\\\dfrac{x}{0.97} = \dfrac{1300}{0.34}\\\\ \dfrac{x}{0.97}= 3823.52 \\\\ x = 3823.52 \times 0.97\\\\x = 3708.82[/tex]
Hence, The distance of the oil platform is 3708.82 yards, from each end of the beach.
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A study is conducted to determine the extent to which drinking alcohol impairs driving ability. Forty volunteers are each tested twice on a computer simulated driving course, once while sober and once while intoxicated. The tests took place over two days and the order of the treatments were randomly assigned to each volunteer. One of the variables measured is the response time (in seconds) to a certain stimuli. The mean difference in response times measured while intoxicated versus sober is 0.914 seconds with standard deviation 1.496 seconds. Calculate the 99% confidence interval for the mean difference between the response times measured while intoxicated versus sober. Use t*
Answer:
The 99% confidence interval for the mean difference between the response times measured while intoxicated versus sober is between 0.274 and 1.554 seconds.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 40 - 1 = 39
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.7079
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.7079\frac{1.496}{\sqrt{40}} = 0.64[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 0.914 - 0.64 = 0.274 seconds
The upper end of the interval is the sample mean added to M. So it is 0.914 + 0.64 = 1.554 seconds
The 99% confidence interval for the mean difference between the response times measured while intoxicated versus sober is between 0.274 and 1.554 seconds.
What are the next two terms of the sequence 1, 2, 5, 14, -..?
A 41, 122
B 29,41
C 40, 123
D 61, 142. please help
5x - 3.3 = 7.2
What is the solution to the
equation?
A. X = 2.1
B. X = 5
C. X = 0.65
D. Not Here
Answer:
A
Step-by-step explanation:
5x=10.5
x=2.1
Please help!!! I’ll give you best answer!!!
Solve each equation with the quadratic formula.
6) 4v2 + 6v - 88 = 0
Step-by-step explanation:
The quadratic equation given to us is ,
→ 4v² + 6v - 88 = 0 .
So , wrt to standard form of a quadratic equation ax² + bx + c = 0 , the Zeroes are given by using the Quadratic formula as ,
⇒ x = -b ± √ ( b² - 4ac) / 2a
⇒ x = -6 ± √ [6² - 4 × 4 × (-88) ] / 2×4
⇒ x = -6 ± √ [ 36 + 1408 ] / 8
⇒ x = -6 ± √ 1444 / 8
⇒ x = -6 ± 38 / 8
⇒ x = -6 +38/ 8 , -6 -38 / 8
⇒ x = 32/8 , -44/8
⇒ x = 4 , -11/2
Here I took v as x . So we can replace it .
Hence the value of v is 4 , -11/2 .What is the 12th term in the geometric sequence -9,27,-81...?
A) -531441
B) 1594323
C) -4782969
D) 177147
Answer and I will give you brainiliest
Answer:
B) 1594323Step-by-step explanation:
Given GP -9, 27, -81, ...To find12th termSolutionnth term formula
aₙ = a₁rⁿ⁻¹, where r- common ratio, n- number of the termWe have
a₁ = -9r = 27/-9 = -81/27 = -3Find a₁₂
a₁₂ = (-9)*(-3)¹¹ = 1594323Correct choice is B
in the following diagram HI || JK what is the measure of
Answer:
118
Step-by-step explanation:
1 straight line equals 180 degrees minus 62 makes it 118
A company is going to make an oil container in the shape of a cylinder. As shown below, the container will have a height of 5m and a radius of 3m. The container will be made from steel (including its top and bottom). If the steel costs $24 for each square meter, how much will the steel cost in total? If necessary, refer to the list of geometry formulas. For your calculations, do not round any intermediate steps, and use the π button on the ALEKS calculator. Round your answer to the nearest cent.
Answer:
1,172.3 cm³
Step-by-step explanation:
Find the volume of one rod, then divide the total volume of steel used by the volume of one rod. The volume of one rod is
V = (πd²/4)h
d = 4 cm
h = 20 cm
Plugin the numbers and get V in cm³, then divide the given total volume of 28,134.4 cm³ by V. If the result is not an integer, then round down.
Add
20 + 4 = 24
Then
28,134.4 ÷ 24 = 1172.26
Rounded to the nearest 0.1 or the Tenths Place = 1,172.3
Therefore, 1,172.3 rods will be made per hour.
What is the equivalent ratio of 3 6
Answer:
1:2
Step-by-step explanation:
Combine any like terms in the expression. If there are no like terms, rewrite the expression. (NO TROLL ANSWERS, OR ELSE!)
Answer:
48+36r³
Step-by-step explanation:
There are two pairs of like terms in this expression: 19r³ and 17r³, 44 and 4
Combining the two pairs, you get 48+36r³
What is the value of the contangent of
Given:
In triangle WXY, [tex]m\angle W=90^\circ, WX=8, XY=17, WY=15[/tex].
To find:
The Cotangent of [tex]\angle X[/tex].
Solution:
In a right angle triangle,
[tex]\cot \theta=\dfrac{Base}{Perpendicular}[/tex]
It can be written as:
[tex]\cot \theta=\dfrac{Adjacent}{Opposite}[/tex]
For triangle WXY,
[tex]\cot (\angle X)=\dfrac{WX}{WY}[/tex]
[tex]\cot (\angle X)=\dfrac{8}{15}[/tex]
Therefore, the Cotangent of [tex]\angle X[/tex] is [tex]\dfrac{8}{15}[/tex].
Help me please, I don’t understand this at all
Answer: d
Step-by-step explanation:
aint no 90 cuz
Answer:
Not a right triangle
Step-by-step explanation:
root 4^2 + 6^2 is not equal to 7.5
Could someone help me please?
Answer:
600
Step-by-step explanation:
So lets rememer the formula for volume of a pyramid to sovle this:
LxHxW/3
Now lets plug in our values, for L, H, and W.
15x12x10/3
So, 15x12x10 is 1800. That is the height times the length times the width.
Now, since this isnt volume of a cube, we must divide the total my 3. This is how you find the volume of a pyramid, as I said above.
So it should be:
1800/3
=
600
This is your answer.
I hope this helps : )
Good luck!
A ceramic vase was originally priced at $100 but went on sale for 50% off. If Ernesto bought the ceramic vase and paid 12% sales tax, how much did he pay in total?
Ernesto bought the ceramic vase for $56 including 12% tax.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, A ceramic vase was originally priced at $100 but went on sale for 50% off.
∴ The discounted price is (50/100)×100 = $50.
Now after Ernesto bought the ceramic vase he had to pay a tax of 12%.
∴ {(100 + 12)/100}×50.
= (112/100)×50.
= 56.
So he paid $56 including 12% tax.
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There are 6 balls in a bucket and 3 of them
are white. If you choose a ball at random,
what is the probability that it will not be
white?
Answer:
[tex] \frac{3}{6} [/tex]
Anna has n number of nickels. She has less than 45 cents. Which inequality could be used to the find the value of n?
A 0.05n < 0.45
B 0.05n > 0.45
C 0.05n < 0.45
D 0.05n > 0.45
Answer:
The correct answer is A or C 0.05n < 0.45
Step-by-step explanation:
Nickels cost $0.05 and n is the number of nickels, so you multiply the two to get 0.05n. Since this value is less than $0.45, we put a less than sign.
Please help me with this math problem
Answer:
The table is a quadratic function
Step-by-step explanation:
Given
The attached table
Required
Tell if it is a quadratic function
The difference in the x values are uniform (i.e. difference of 1), so the following method can be applied.
(1) Subtract adjacent y values.
[tex]d_1=2 - 16 = -14[/tex]
[tex]d_2=-2 - 2 = -4[/tex]
[tex]d_3 = 4--2 = 6[/tex]
[tex]d_4 = 20 - 4 = 16[/tex]
(2) Subtract adjacent differences in (1) above
[tex]d_5 = d_2 - d_1 = -4 --14 = 10[/tex]
[tex]d_6 = d_3 - d_2 = 6 --4 = 10[/tex]
[tex]d_7 = d_4 - d_3 = 16 -6 = 10[/tex]
Notice the calculated differences in (2) are the same.
Hence, the table is a quadratic function
The number 312.8 is 34% of x. What is the value of x rounded to the nearest whole number
Answer:
X = 920
Step-by-step explanation:
To start off, we have to find how many times 34% can go into 100%. It can go in precisely 2.94117647059 times. Then, we take that number and multiply it by 312.8, since 312.8 is 34% of 100%. We get 920 from that, which is the answer.
Hope this helped!
A percentage is a way to describe a part of a whole. The value of x rounded to the nearest whole number is 920.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that the number 312.8 is 34% of x. Therefore, we can write,
34% of x = 312.8
(34/100) × x = 312.8
Multiply both the sides of the equation by 100,
(34/100) × x × 100 = 312.8 × 100
Divide both the sides of the equation by 34,
[(34/100) × x × 100] ÷ 34 = (312.8 × 100) ÷ 38
x = (312.8 × 100)/34
x = 920
Hence, the value of x rounded to the nearest whole number is 920.
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Which of the following statements is true
Answer:
2nd one and the last one
Step-by-step explanation:
PLZ HELP ASAP NO LINKS AND NO STEALING POINTS OR ELSE I WILL REPORT IT HAS TO BE AN IMPROPER FRACTION.
Answer:
Hello Love!
8 ÷ 3/5 = 13 1/3 sense thats a mixed fraction I'll convert it and it converts to 13 x 3 + 1 = 40 so 40/3 is our answer
PLEASE HELP!!! Needed ASAP!
Answer:
6x - 3 y = 6
6x + 8y = -16
multiply equation 2 by -1
-6y -8y = 16
6x - 3y = 6
-11y =22
y = -2
substitute the value of y in 1
6x - 3(-2) = 6
6x + 6 =6
6x =0
x = 0
(x;y)
[0; -2]
9) 4x + 3y = 19
6x + 3y =33
multiply equation 2 by -1
4x + 3y = 19
-6x - 3y = -33
eliminate one variable by adding the equations
-2x =-14
x = 7
substitute the value of x in the equation
4(7) +3y = 19
28+ 3y = 19
3y =-9
y = -3
(x;y)
[7 ; -3]
10 ) 2x + 6y = 17
2x - 10y = 9
multiply by -1 in equation2
2x +6y = 17
-2x + 10 y = -9
eliminate one variable by adding the equations
16 y = 8
y = 1/2
substitute the value of y in the equation.
2x +6 (1/2) = 17
2x + 3 = 17
2x = 14
x = 7
x:y
[7 ; 1/2 ]
at the doctor's appointment a baby weight 10 pounds how many ounces did the baby weigh
Answer:
160 ounces
Step-by-step explanation:
A pound = 16 ounces
16x10=160 ounces
At one farmer’s market, bananas cost $0.80 per pound. At another farmer’s market, bananas are sold in 5-pound bags for $4.50 per bag. Which explains how to find the better buy?
Divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0.80 per pound.
Divide 0.80 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0.80 per pound.
Multiply 4.50 by 5 to find the cost for 5 pounds, and compare to $4.50 per bag.
Multiply 4.50 by 0.80 to find the cost for 5 pounds, and compare to $4.50 per bag
Answer:
Divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0.80 per pound.
Step-by-step explanation:
please help me here dudes and dudettes
Answer:
what!!!!!!!!!!!!!!!!!! so only for dudesssssssss
can someone give me a simple answer to this problem
In testing hypotheses, which of the following would be strong evidence against the null hypothesis?
a. obtaining data with a low test statistic.
b. using a small level of significance.
c. using a large level of significance.
d. obtaining data with a large p-value.
e. obtaining data with a small p-value.
Answer:
e. obtaining data with a small p-value.
Step-by-step explanation:
In the null hypothesis, we test if the mean respects certain condition, and on the alternate hypothesis, we test the opposite of the null hypothesis.
The decision depends on the pvalue:
If the pvalue is smaller than the level of significance, that is, the pvalue has small values, the null hypothesis is rejected, that is, it is strong evidence against the null hypothesis. Large pvalues do not give evidence against the null hypothesis.
So the correct answer is given by option e.
PLS HELP IMA GIVE BRAIN LISTTT!!!
Which model is 85% shaded?
Done
Answer:
First left
Step-by-step explanation:
17/20 = 0.85 = 85/100 = 85%
Consider the line segment LP with endpoint at L (-3, -5) and P (9, 7) and midpoint M.
What is the x—coordinate of N, the point that partitions segment MP in a 1 : 1 ratio?
A. 4
B. -4
C. -6
D. 6
Hey did you find the answer to it yet ? Because I’m having a hard time as well
HELP answer this question please help a girl out
Answer:
37.3 ft
Step-by-step explanation:
x/56 = 32/48
cross multiply:
56x32 = 1792
48x
1792/48 = 37.3
You are comparing cell phone plans at two cell phone companies. The probability that you buy a plan from company A is 0.2. The probability that you buy a plan from company B is 0.4. Assuming these events are mutually exclusive, what is the probability that you buy a plan from company A or company B?
A. 0
B. 0.16
C. 0.2
D. 0.6
Answer:
the answer for this question is option 0.16
34% of a shirt order for a department store arrived damaged. If the order
was for 500 shirts, how many of the shirts were damaged? *
Answer:
170 shirts
Step-by-step explanation:
500×0.34
170