Answer:
D. 7040 yards
Step-by-step explanation:
(sin^2x+tan^2x+cos^2x)/(sec^2x) What trig identities are used in solving this as well.
The main one is the Pythagorean identity,
sin²(x) + cos²(x) = 1
By dividing both sides by cos²(x), you get the tan-sec variant:
sin²(x)/cos²(x) + cos²(x)/cos²(x) = 1/cos²(x)
tan²(x) + 1 = sec²(x)
since tan(x) = sin(x)/cos(x) and sec(x) = 1/cos(x).
So the given expression reduces to
(sin²(x) + tan²(x) + cos²(x)) / sec²(x)
= (1 + tan²(x)) / sec²(x)
= sec²(x) / sec²(x)
= 1
Principle $1950 rate 4 1/2% time 9
Answer:
Interest = [tex] \boxed{\$ 789.75} [/tex]
Explanation:
Interest [I] = principle × rate × time [prt]
______________________________
x% = x/100
a b/c = a + (b/c) = (ac + b) / c
______________________
I = prt
I = ($1,950)(4 ½%)(9)
I = ($1,950)(0.045)(9)
I = ($87.75)(9)
I = ($789.75)
I = $789.75
Kevin can walk 14 miles in 5 hours. How far can he walk in 3 1/2 hours?
Step-by-step explanation:
If he can walk 14 miles in 5 hours, take 14÷5 to find out how long he can walk in 1 hour. (2.8)
Then take 2.8 miles times 3.5 hours is 9.8 miles
In circle P with m NPQ = 46 and NP=20 units find area of sector NPQ.
Round to the nearest hundredth.
i will give brainly
Answer:
Round to the nearest hundredth.
Answer:
160.57
Step-by-step explanation:
The formula is:
[tex]angle/360 *\pi *radius^2[/tex]
Because you find the total area of the circle, but the sector only represents NPQ/360 so you have to multiply the area with that.
[tex]46/360 * \pi *20^2[/tex] = [tex]23/180 * \pi *400[/tex]
= [tex]160.57029...[/tex]
Rounded to the nearest hundredth this would be 160.57
Let f be defined by the function f(x) = 1/(x^2+9)
(a) Evaluate the improper integral [tex]\int\limits^{∞}_3 {f(x)} \, dx[/tex] or show that the integral diverges
(b) Determine whether the series ∑n=3∞ f(n) converges or diverges State the conditions of the test used for determining convergence or divergence
(c) Determine whether the series ∑n=1∞(−1)n(en⋅f(n))=∑n=1∞(−1)n(n2+9)en converges absolutely, converges conditionally, or diverges (image put below)
(a)
[tex]\displaystyle\int_3^\infty \frac{\mathrm dx}{x^2+9}=\lim_{b\to\infty}\int_{x=3}^{x=b}\frac{\mathrm dx}{x^2+9}[/tex]
Substitute x = 3 tan(t ) and dx = 3 sec²(t ) dt :
[tex]\displaystyle\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\frac{3\sec^2(t)}{(3\tan(t))^2+9}\,\mathrm dt=\frac13\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\mathrm dt[/tex]
[tex]=\displaystyle \frac13 \lim_{b\to\infty}\left(\arctan\left(\frac b3\right)-\arctan(1)\right)=\boxed{\dfrac\pi{12}}[/tex]
(b) The series
[tex]\displaystyle \sum_{n=3}^\infty \frac1{n^2+9}[/tex]
converges by comparison to the convergent p-series,
[tex]\displaystyle\sum_{n=3}^\infty\frac1{n^2}[/tex]
(c) The series
[tex]\displaystyle \sum_{n=1}^\infty \frac{(-1)^n (n^2+9)}{e^n}[/tex]
converges absolutely, since
[tex]\displaystyle \sum_{n=1}^\infty \left|\frac{(-1)^n (n^2+9)}{e^n}\right|=\sum_{n=1}^\infty \frac{n^2+9}{e^n} < \sum_{n=1}^\infty \frac{n^2}{e^n} < \sum_{n=1}^\infty \frac1{e^n}=\frac1{e-1}[/tex]
That is, ∑ (-1)ⁿ (n ² + 9)/eⁿ converges absolutely because ∑ |(-1)ⁿ (n ² + 9)/eⁿ| = ∑ (n ² + 9)/eⁿ in turn converges by comparison to a geometric series.
simplify the following.
12x-3 (y-x)
Answer:
Divide both with 3.
12/3 = 4x
-3 divided by 3 = -1.
You end up with 4x-1 which is the final simplification.
Step-by-step explanation:
Answer:
This is your answer ☺️☺️☺️. If I'm right so,
Please mark me as brainliest. thanks!!!
PLEASE HELP DUE IN 3 minutes
Answer:
Answer is B
Step-by-step explanation:
can someone please help me ? :)
Answer:
9.32millimetres
10. 7inches
Step-by-step explanation:
9. r=½diameter
r=½×64
r=32
10. volume=length×width×height
336=6×8×h
336=48h
h=336/48
h=7
Plz I really need help
Answer:
.. it's 30 or 50
Step-by-step explanation:
HELP ASSAP I NEED TO FINISH THIS TEST AND TIS THE LAST ONE
Answer:
a=4
b=5
Step-by-step explanation:
Can someone actually helped me? People will answer and deleted their comment I really need help
Congruent Angle
Vertical Angle
Adjacent Angle
Complementary Angle
Supplementary Angle
Answer:
14) ∠CBE = 118° supplementary to 62°
15) ∠ABF = 28° complementary to 62°
16 ∠CBA = 152° because it is vertical to ∠DBF
Step-by-step explanation:
14) ∠CBE = 180° - 62° = 118°
15) ∠ABF = 90° - 62° = 28°
16) ∠DBF = 90°+ 62° = 152°
∠CBA = ∠DBF
What is the area of this figure
Rewrite the number in Standard form
1.37 x 10-7
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 0.000000137
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
You are building a frame for a window. The window will be installed in the opening shown in the diagram. Determine whether the opening is a rectangle. Then give the length of the diagonals.
Answer:
dfffffdf
Step-by-step explanation:
(10k0)(7k–1)(6k–4)
^ k to the 0 power
Answer:
1
Step-by-step explanation:
every single thing to the power of 0 is 1
Answer:
0
Step-by-step explanation:
What is the mean?
1 2 1 3 6 3 6 2
What ratio is not equivalent to the ratio 10:35 please help
Step-by-step explanation:
Personally I think the answer is 2:7
I might be wrong but that is my opinion
Write the polynomial in standard form: I need help with this
Write the polynomial in standard form:
18
A person locked or android phone with a swipe code on a phone with a 3 x 3 gridlock that’s considered an example where the swipe code must start with the top left button and must pass through two more buttons each executive button is adjacent up down left right or diagonal how many swipe codes are they possible
Answer 15,18
Answer:
15
Step-by-step explanation:
Answer:
It says 15 18 is correct
Step-by-step explanation:
Which expression is equivalent???
Answer:
Step-by-step explanation:
x² + 2x + 2 = 0
x = -1 ± i
x² + 2x + 2 = (x+1+i)(x+1-i)
Find x
I got 5 but I don’t know if that’s correct. Please help
PLS HELP WILL MARK BRAINLEST
Answer:
uhhhhhhhhh help with what ?
HELP ME PLS ITS URGENT .. !❗❗❗❗❗❗❗❗❗❗❗❗❗
The commuting distances, in miles, of 10 employees were used to make the box plot shown above. Which of the sets of distances below matches the given box plot?
A.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 30, 45, 45
B.
Commuting Distances: 10, 15, 15, 20, 20, 30, 30, 30, 45, 45
C.
Commuting Distances: 10, 15, 20, 20, 20, 20, 30, 30, 45, 45
D.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 45, 45, 45
Answer:
A the answer is A ^w^ hope this helps
The math department started a fundraiser with $20 and added $10 every week where the science department started with $50and added $5 every week how many weeks will it take for both departments to have the same amount of money ?
Answer:
4 weeks
Step-by-step explanation:
To find the answer, we have to look at the weeks that follow to see if they have the same amount of money.
Week 1
Math: $30
Science: $55
Week 2
Math: $40
Science: $60
Week 3
Math: $50
Science: $65
Week 4
Math: $60
Science: $70
Hope this helped!
Stay safe <3
Which is greater 1.56 or 1.29
Answer:
1.56 is greater than 1.29. (Check after the decimal point, 5 is greater than 2, so 1.56 is greater than 1.29)
Answer:
I believe that 1.56 is grater than 1.29.
hope this helps.
Just look at the pic for the question
Answer: C
Step-by-step explanation:
A poll of 803 adults in the United States found that a majority—60%—said that changes should be made in government surveillance programs. The poll reported a margin of error of 3.5%.
Explain in plain English what we can conclude from this poll.
We can conclude that most American adults want changes in government surveillance programs. But we can't conclude what specific changes in those programs they want (more surveillance? less? it doesn't say.)
Please help me! How much would you expect gas to cost in 2030. Show your work.
Answer:World Bank expects the natural gas price at Henry Hub to increase to $4 per MMBtuStep-by-step explanation:
Find the length of the hypotenuse. Round your answer to the nearest 100th.
A. 8.06
B. 9.95
C. 11
D. 3.32
Step-by-step explanation:
C = root of 7^2 + 4^2
= 8.06
Ans = A
2x+5/3=8 solve this equation
Answer:
x = 19/6
Step-by-step explanation:
5/3 = 1 whole and 2/3
8 - 1 whole and 2/3 = 19/3
2x = 19/3
x = 19/3 ÷ 2 = 19/6
I hope im doing it right.