Answers
Answer:
Step-by-step explanation:
Since this is a 30-60-90 triangle, we need the Pythagorean triple for such a triangle. the side length across from the 30 degree angle is labeled as x, the side across from the 60 degree angle is x√3, and the hypotenuse is 2x. Since we know the side length of the side across from the 60 degree angle, we use that identity and solve for x:
[tex]x\sqrt{3}=18[/tex] and
[tex]x=\frac{18}{\sqrt{3} }[/tex] and rationalizing the denominator,
[tex]x=\frac{18}{\sqrt{3} }*\frac{\sqrt{3} }{\sqrt{3} }=\frac{18\sqrt{3} }{3}=6\sqrt{3}[/tex]
This is the side length of the side across from the 30 degree angle. In order to find the hypotenuse, we have to multiply this value by 2 to get
12√3, the third choice down.
Related Questions
Listed below are the budgets (in millions of dollars) and the gross receipts (in millions of dollars) for randomly selected movies. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using alphaequals0.05. Is there sufficient evidence to conclude that there is a linear correlation between budgets and gross receipts? Do the results change if the actual budgets listed are $65 comma 000 comma 000, $89 comma 000 comma 000, $51 comma 000 comma 000, and so on? Budget (x) 65 89 51 35 204 98 85
Answers
The data Given is incomplete, question with exactly similar data could not be found. However, similar questions with different data are numerous. Using one of this questions to take you through the solution to your question :
.
Question :
Listed below are the budgets (in millions of dollars) and the gross receipts (in millions of dollars) for randomly selected movies. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using alpha = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between budgets and gross receipts? Do the results change if the actual budgets listed are $61,000,000, $92,000,000, $48,000,000, and so onBudget(x) 61 92 48 36 135 58 93Gross(y) 69 62 53 58 627 144 42
a. What are the null and alternative hypotheses?i) H_0: rho = 0, H_1: rho < 0
ii) H_0: rho = 0, H_1: rho notequalto 0
iii) H_0: rho notequalto 0, H_1: rho = 0
iv) H_0: rho = 0, H_1: rho > 0
b. Construct a scatterplot. Choose the correct graph below.
c. The linear correlation coefficient r is.
d. The test statistic t is.
e. The P-value is.
Answer:
Pvalue > α ; Hence, we fail to reject the null.
Step-by-step explanation:
When testing for correlation :
Correlation Coefficient r is always between - 1 and 1. The alternative is always the opposite of the null. To claim that correlation exists, the r will not be equal to 0, because 0 means no correlation.
1.)
H_0: rho = 0,
H_1: rho notequalto 0
2.)
Given the data :
Budget(x) : 61 92 48 36 135 58 93
Gross(y) : 69 62 53 58 627 144 42
Scatter plot is attached below
3.) The linear correlation Coefficient as obtained using technology is 0.751 ; which depicts a strong positive correlation
4.)
Test statistic :
T = r / √(1 - r²) / (n - 2)
r² = 0.751² = 0.564
T = 0. 751 / √(1 - 0.564) / (7 - 2)
T = 0.751 / 0.2952964
T = 2.543
E.)
Using the Value from Tscore calculator :
Pvalue(2.543, 5) ; two tailed
Pvalue = 0.0517
At α = 0.05;
Pvalue > α ; Hence, we fail to reject the null. there is no sufficient evidence to conclude that there is a linear correlation between budgets and gross receipts.
find three consecutive odd integers such that the sum of the last two is 15 less than 5 times the first
Answers
2n + 1 , 2n + 3 , 2n + 5
____________________________
( 2n + 5 ) + ( 2n + 3 ) = 5 × ( 2n + 1 ) - 15
4n + 8 = 10n + 5 - 15
4n + 8 = 10n - 10
Add both sides 10
4n + 8 + 10 = 10n - 10 + 10
4n + 18 = 10n
Subtract both sides 4n
4n - 4n + 18 = 10n - 4n
18 = 6n
Divide both sides by 6
18 ÷ 6 = 6n ÷ 6
n = 3
_________________________________
Thus that three numbers are :
2(3) + 1 , 2(3) + 3 , 2(3) + 5
6 + 1 , 6 + 3 , 6 + 5
7 , 9 , 11
And we're done ....
A website 500,000 members in 2010. The number y of members increases by 15% each year. Write an exponential growth function that represents the website membership t years after 2010. How many members will there be in 2016? Round your answer to the nearest ten thousands
Answers
Answer:
a = 500,000(1.15)^t
1,160,000
Step-by-step explanation:
a = 500,000(1.15)^t
in 2016
a = 500,000(1.15)^6
a = 1,156,530
Rounded
1,160,000
The number of members present in 2016 is 1,156,530. It can be rounded to 1,160,000.
What is an exponential function?
The function is expressed in the form like f(x) = a^x are called exponential function. Where x is a variable and a is a constant.
The number of members in the website in 2010 is 500,000.
Each year y members increased by 15%.
The exponential relation of members and year is
y = 500,000(1.15)^t
Then in 2016 the number of members present are given by,
y = 500,000(1.15)^6 = 1,156,530.
Hence, 1,156,530 members present in 2016. It can rounded to 1,160,000.
To learn more about exponential function, use the link given below:
https://brainly.com/question/29162975
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Help pleasee want asap
Answers
Answer:
I'm pretty sure it is D since all the other ones are maximum value parabolas (and the questions asks for a minimum) other than D.
ILL MARK BRAINLIEST 15 PTS!!! HURRY
If the function rule is to multiply by 4, and there is an output value of 8, what is the input value?
16
02
08
O 32
Answers
Answer:
02
Step-by-step explanation:
Answer:
Input Value = 02
Step-by-step explanation:
2 multiplied by 4 is 8.
You could also divide 8 by 4 to get 2 to check your work.
I need Answer Immediately!!!!!!
Answers
Answer:
24.2424242424242%
Step-by-step explanation:
16+17+33=66
16÷66=0.2424242424242
What is the average rate of change for this quadratic function for the interval from x = 0 to x = 2?
Answers
Answer:
8
Step-by-step explanation:
The average rate of change for this quadratic function for the interval from x = 0 to x = 2 is -2
What is a function?A relation is a function if it has only One y-value for each x-value.
The average rate of a function f(x) from x=a to x=b is given as:
= f(b)-f(a)/b-a
Clearly we are asked to find the average rate of change from x=0 to x=2.
i.e. a=0 and b=2
Also, from the graph it could be observed that:
f(0)=1
and f(2)=-3
=f(2)-f(0)/2-0
=-3-1/2
=-4/2
=-2
Hence, the average rate of change for this quadratic function for the interval from x = 0 to x = 2 is -2
To learn more on Functions click:
https://brainly.com/question/30721594
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Adam wants to save as much money as he can in one month. He started with -$2 in his bank account at the beginning of the month and he put $3 each day into the savings account.
Answers
Need help
Pls explain
Answers
9514 1404 393
Answer:
y = -1.5x +3
Step-by-step explanation:
The two points marked on the line are ...
(-4, 9) and (6, -6)
The slope formula can be used to find the slope:
m = (y2 -y1)/(x2 -x1)
m = (-6 -9)/(6 -(-4)) = -15/10 = -1.5
The intercept formula can be used to find the y-intercept:
b = y -mx
b = 9 -(-1.5)(-4) = 9 -6 = 3
The slope-intercept form of the equation for a line is ...
y = mx + b . . . . . . . line with slope m and y-intercept b
y = -1.5x +3
_____
Additional comment
We can see that the line crosses the y-axis at y=3, so this is the value of b. We only need to read it from the graph. We don't really need the formula shown above.
The line also crosses the x-axis at x=2. This means the line decreases 3 units (from y=3 to y=0) as x increases by 2 units (from x=0 to x=2). Then the slope is ...
m = rise/run = (-3)/(2) = -3/2 = -1.5 . . . . as calculated above
That is, we can find the parameters of interest by simply counting grid squares on the graph.
Please help me!!!! I have been stuck on this question for like a half an hour now.
Answers
You can simplify by taking out the GCF for each term which is 3. So divide each term by 3, which leaves you with
3(3x^2+7x+2)
Simplify & factor and you get
3(3x+1)(x+2)
Jack took out a 6-year loan for $25,000 to purchase a boat at a 4.5% interest rate. If the interest is compounded monthly, what will he have paid total over the course of the loan?
Answers
Answer: $32,732.58
Step-by-step explanation:
To calculate the total loan payment over the course of the loan period, use the future value formula:
= Loan amount * (1 + rate) ^ number of years
As this loan is compounded monthly, you need to convert certain terms to monthly figures:
Number of periods = 6 * 12 months = 72 months
Interest = 4.5 / 12 = 0.375%
Total payment:
= 25,000 * ( 1 + 0.375%)⁷²
= $32,732.58
He will have to pay $34,236.31 over the course of the loan.
Using the compound interest formula expressed as:
[tex]A =P(1+r/n)^{nt}[/tex]
P is the principal = $25000
r is the rate = 4.5% = 0.045
t is the time in years = 6 years
n is the compounding amount = (12)monthly
Substitute into the formula:
[tex]A =25000(1+0.045/12)^{12(7)}\\A=25000(1.36945)\\A = \$34,236.31[/tex]
Hence he will have to pay $34,236.31 over the course of the loan
Learn more on compound interest here: https://brainly.com/question/24274034
Find the value of x (Best answer is brainliest)
Answers
Answer:
35
Step-by-step explanation:
180-110=70
70/2=35
x=35
You take 180-110=70 and divide it by two because you have to know each angle measure. That causes you to get 35. Therefore, X=35
Hope this helps:)
please helppp!!
For the equation y = 3x – 6 Complete the table for the x values given.
Answers
Answer:
Step-by-step explanation:
y = 3x -6
x = -2, y = -12
x = -1, y = -9
x = 0, y = -6
x = 1, y = -3
x = 2, y = 0
x= 3, y = 3
x -2 -1 0 1 2 3
y -12 -9 -6 -3 0 3
Samar gets Rs 150 as pocket money per month. On his 15th birthday, his father increased it by 20%. How much more money will he get every month now? A
Answers
Answer:
180
Step-by-step explanation:
150/100*20=30 +150=180
Biscuits are sold in in packs of 8. How many packs should you buy if you need 56 biscuits.
Answers
Answer:
7
Step-by-step explanation:
you just divide 8/56= 7
-----------------------------------------------------------------------------
Step 1:
Start by setting it up with the divisor 56 on the left side and the dividend 8 on the right side like this:
56⟌8
Step 2:
The divisor (56) goes into the first digit of the dividend (8), 0 time(s). Therefore, put 0 on top:
0
56⟌8
Step 3:
Multiply the divisor by the result in the previous step (56 x 0 = 0) and write that answer below the dividend.
0
56⟌8
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (8 - 0 = 8) and write the answer below.
0
56⟌8
-0
8
the answer to 8 divided by 56 calculated using Long Division is: 7
Think 8 times BLANK equals 56… the answer would be 7 packs
1/7h=3
What is the value of h in the equation?
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{1}{7}h= 3}[/tex]
[tex]\large\text{MULTIPLY 7 to BOTH SIDES}[/tex]
[tex]\mathsf{7\times\dfrac{1}{7}h = 7\times3}[/tex]
[tex]\rm{CANCEL: 7\times\dfrac{1}{7}\ because\ that\ gives\ you\ 1}[/tex]
[tex]\rm{KEEP: 7\times3\ because\ that\ gives\ you\ the\ h-value}[/tex]
[tex]\larg\text{TEMPORARY new EQUATION: }\mathsf{7\times3=\bf h}[/tex]
[tex]\mathsf{7\times3=h}[/tex]
[tex]\mathsf{7\times3=\bf 21}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf h = 21}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Solve for r. r - 76 = 9
Answers
Answer:
r=85
Step-by-step explanation:
r-76=9
add 76 to both sides
r=85
hope this is helpful
Answer: 85
Step-by-step explanation:
Since we're finding the placeholder of r and we're already subtracting, we need to add! What we need to do is add 76 + 9 which equals 85!
Hope this helps you! Good luck with your future work!
PLEASE HELPP!!! NO FLIE OR LINKS
decide whether each is a rhombus, rectangle, square, none of these, or all of these
Answers
Answer:
The first one is a square! The second is none of these because its a trapezoid
Step-by-step explanation:
Answer:
7. all of the above
9. none of these
Step-by-step explanation:
graph number 7
you will see from the diagonal test that the diagonals of this shape are congruent. All four angles in the interior are congruent making it a rhombus. The outside side lengths are all equal to 6.71. Making it a rectangle. The definition of a square is if it is both a rectangle and a rhombus then it is a square.
graph number 9
you can plainly see that this is a trapazoid which is none of either of these choices.
hope this helps.
Find the greatest common factor of 12x and 15x^3”.
Answers
The city is planting new trees in its downtown to make the streets more comfortable for visitors.They are planting each tree 12 feet apart.How many trees can they plant on 2 miles of streets? 5280 feet = 1 mile.
Answers
This equation shows how the cost of renting a moving van depends on how many hours it is rented for. c = 5h; The variable h represents the number of hours the moving van is rented for, and the variable c represents the cost in dollars. If a moving van is rented for 3 hours, what is the cost?
need help ^_^
Answers
Answer:
3/5 c
Step-by-step explanation:
_________________
Select all of the expressions that are equal to 8 x 35
Answers
Answer:
What expressions?
Step-by-step explanation:
Find the value of X.
Answers
Answer:
x = 34
Step-by-step explanation:
Angle Formed by Two Secants= 1/2(DIFFERENCE of Intercepted Arcs)
x = 1/2(100-32)
x = 1/2 (68)
x =34
The period of function is 4 pie how many cycles of the function occur in a horizontal length of 12 pie
Answers
Answer: 3
Step-by-step explanation:
Given
The period of the function is [tex]4\pi[/tex] i.e. function completes a full cycle in this zone.
For a horizontal length of [tex]12\pi[/tex]
Number of cycles is
[tex]\Rightarrow \dfrac{12\pi }{4\pi }=3[/tex]
So, there are 3 ycles of the function in length of [tex]12\pi[/tex].
Answer:
3
Step-by-step explanation:
I just did it and it was correct.
CAN SOMEONE HELP WITH THESE 2 questions please!! Reposting cause someone said too !!! Will mark u brainlist and give u points!!!
Answers
Answer:
do u need help with the whole page?
Step-by-step explanation:
Given: 2x^2 = 5x + 3
Find f(3)
Answers
Answer:
18 = 18
Step-by-step explanation:
f(3) =
2(3)^2 = 5(3) + 3
2 × 9 = 15 + 3
18 = 18
plug 3 into the x of the equation
what is the formula of gradient
Answers
Answer:
m=slope
(x_1, y_1)=coordinates of the first point in the line
(x_2, y_2)=coordinates of the second point in the line
Step-by-step explanation:
help me plsssssssssssss
Answers
Answer:
do you still need help
Step-by-step explanation:
???
The volume of a gas held at constant temperature varies inversely with the pressure of the gas. If the volume of the gas is 1200 cubic centimeters then the pressure is 200 millimeters of mercury, what is the volume when the pressure is 800 ml?
Answers
Answer:
300
Step-by-step explanation:
The volume of the gas varies inversely as the pressure
V= k/p
K= VP
= 1200×200
= 240,000
Therefore the volume when the pressure is 800
K= VP
240000= V×800
V= 240000/800
= 300
Hence the volume is 300 cubic centimeters
Help me solve this! |2x-8|+4>-3
Answers
Answer:
true for all x
Step-by-step explanation:
|2x-8|+4>-3
Subtract 4 from each side
|2x-8|+4-4>-3-4
|2x-8|>-7
An absolute value is always positive so this is true for all x