Answer:
h = 79 m
Step-by-step explanation:
The length of the string, H = 125 m
The kite forms 39° angle.
We need to find the height of the kite. Let it is h. We can find it using trigonometry i.e.
[tex]\sin\theta=\dfrac{P}{H}[/tex]
Where
P is perpendicular and H is Hypotenuse
So,
[tex]\sin\theta=\dfrac{h}{H}\\\\h=H\times \sin\theta\\\\h=125\times \sin(39)\\\\h=78.66\ m[/tex]
or
h = 79 m
So, the kite is flying at a height of 79 m.
Find the least common denominator of 11/10 and 1/6
You deposit $200 in an account earning 3.5% simple interest. How many years will it take for the balance of the account to be $221
Evaluate the expression: 20 - 2^4
Answer:
4
Step-by-step explanation:
1) Simplify 2⁴ to 16.
[tex]20 - 16[/tex]
2) Simplify.
[tex]4[/tex]
Therefor, the answer is 4.
Answer:
20 - 2^4 =4
Step-by-step explanation:
PLEASE ANSWER THIS QUESTION
Show that 4x – 7 is equivalent to 4(x - 1) – 3 when x = 3.
Answer:
4(3) - 7 = 4(3 - 1) - 3
12 - 7 = 4(2) - 3
5 = 8 - 3
= 5
They are equivalent because when they are both simplified they have the same answer 5
All the prizes for the contest were won by Josh. Rewrite in an active voice.
Answer:
Josh won all the prizes for the contest
Step-by-step explanation:
(1 point)
Find the area enclosed by the curve r=2 sin(0) + 3 sin(90).
If the 0's are indeed zeroes, then it would appear that you're using degrees, so that the equation
r(θ) = 2 sin(0°) + 3 sin(90°)
describes a circle r = 3 (since sin(0°) = 0 and sin(90°) = 1). In this case, the area would simply be π r ² = 9π.
But I suspect you meant to use θ, so the curve has the far more interesting equation,
r(θ) = 2 sin(θ) + 3 sin(9θ)
Since sin(9θ) has a period of 2π/9 and sin(θ) has a period of 2π, their sum has a period of 2π. (That is, 2π times the LCM of 1 and 1/9, which is 1.) But we observe r(θ) is odd, since
r(-θ) = 2 sin(-θ) + 3 sin(-9θ)
… = -2 sin(θ) - 3 sin(9θ)
… = - r(θ)
which tells us that the curve closes itself over a half-period. So the area bounded by the curve is given by the integral,
[tex]\displaystyle\int_0^\pi\int_0^{r(\theta)}r\,\mathrm dr\,\mathrm d\theta[/tex]
If you're not familiar with double integrals yet, all you need to know is that this reduces to the area formula you may/should be familiar with,
[tex]\displaystyle\frac12\int_0^\pi r(\theta)^2\,\mathrm d\theta[/tex]
Compute the integral:
[tex]=\displaystyle\frac12\int_0^\pi(2\sin(\theta)+3\sin(9\theta))^2\,\mathrm d\theta[/tex]
[tex]=\displaystyle\frac12\int_0^\pi(4\sin^2(\theta)+12\sin(\theta)\sin(9\theta)+9\sin^2(9\theta))\,\mathrm d\theta[/tex]
Apply some identities:
sin²(θ) = (1 - cos(2θ)) / 2
sin(θ) sin(9θ) = (cos(9θ - θ) - cos(9θ + θ)) / 2 = (cos(8θ) - cos(10θ)) / 2
sin²(9θ) = (1 - cos(18θ)) / 2
[tex]=\displaystyle\frac14\int_0^\pi(4(1-\cos(2\theta))+12(\cos(8\theta)-\cos(10\theta))+9(1-\cos(18\theta))\,\mathrm d\theta[/tex]
[tex]=\displaystyle\frac14\int_0^\pi(13 - 4\cos(2\theta) + 12\cos(8\theta) - 12\cos(10\theta) - 9\cos(18\theta))\,\mathrm d\theta[/tex]
[tex]=\dfrac14 \left(13\theta-2\sin(2\theta)+\dfrac32\sin(8\theta)-\dfrac65\sin(10\theta)-\dfrac12\sin(18\theta)\right)\bigg|_0^\pi[/tex]
[tex]=\dfrac1{40} \left(130\theta-20\sin(2\theta)+15\sin(8\theta)-12\sin(10\theta)-5\sin(18\theta)\right)\bigg|_0^\pi[/tex]
[tex]=\dfrac{130\pi-20\sin(2\pi)+15\sin(8\pi)-12\sin(10\pi)-5\sin(18\pi)}{40}[/tex]
= 13π/4
Pls help this is due today! Find the value of x, then the value of each angle:
Answer:
x = 29
angles are 90 degrees, 56 degrees, and 34 degrees
Step-by-step explanation:
90 + (2X-2) + (X+5) = 180
3X + 93 = 180
3X = 87
X = 29
s + 10.7 = 7.2
s = ?
how do i solve
What is the initial value of the equation shown? (1 point) y = −7x − 6 −13 −7 −6 −1
Answer:
-6
Step-by-step explanation:
The equation is y = -7x - 6.
The initial value is found when x = 0.
y = -7(0) - 6
y = 0 - 6
y = -6
19. Frank and Jenny want to cut a plank for a sandbox they are making. If the plank is
12 inches long, and they want four pieces of equal size, how long will each piece measure?
A. 44 inches
44 in
B. 3 inches
C. 8 inches
0.3 inches
Answer:
it is 3 inches
3 x 4 = 12
Please answer <3 thanks
Answer:
The slope of the line would be 3/6 or 1/2
Step-by-step explanation:
To get from point (1,2) to point (7,5) you have to rise 3 places and run (move to the right) 6 times. Rise/run=3/6
hope this helps. ; )
Circumference = 69.1yd
Answer:
What do you want us to find?
Step-by-step explanation:
A developer has 24.5 acres of land. She buys an adjacent plot of land and increases the total
acreage she owns by 20%. Circle the numbers that make the statements true.
Answer:
The developer bought 4.9 acres of land, increasing its property to 29.4 acres.
Step-by-step explanation:
Given that a developer has 24.5 acres of land, and she buys an adjacent plot of land and increases the total acreage she owns by 20%, to determine the amount of acres she bought and the total acres she now owns, the following calculations must be done:
24.5 x 1.2 = 29.4
24.5 x 0.2 = 4.9
Thus, the developer bought 4.9 acres of land, increasing its property to 29.4 acres.
Francine can ride 16 miles on her bicycle in 45 minutes. At this speed, how many minutes would it take Francine to ride 60 miles?
Answer:
2000 minutes on 16 miles
Answer:
168.75 minutes
Step-by-step explanation:
Francine's speed (the unit rate) is (16 miles) / (45 minutes), or 16/45 miles/min.
Recalling that distance = speed times time, we recognize that
time = distance / speed
which here is
(60 miles) / (16/45) miles/min = 168.75 minutes, or 168 min 45 sec
Work out the size of angle x.
Answer:
First: 105
Second: 65
Third: 133
Fourth: 129
Fifth: 60
Which one of these grids is shaded red and blue in the ratio 0.5: 1?
A
B
D
E
F
Answer:
B
Step-by-step explanation:
Answer:
Its E
Step-by-step explanation:
Helpppppp please i need help on this question
Step-by-step explanation:
K=12 if you want explanation i will
6t/9-22;t=60
please help me
Answer:
if t=60, then 6(60)/9-23. (360-198)/9
=18
please help helppppppp
PLEASE HELP THIS ASSIGNMENT IS OVER DUE
Answer:
91m + 13n + 52
Step-by-step explanation:
13(n + 4 + 7m)
= (13) (n+4+7m)
= (13) (n) + (13) (4) + (13) (7m)
= 13n + 52 + 91m
= 91m + 13n + 52
hope this helps and is right :)
p.s. i really need brainliest
Answer:
13n + 52 +91m
Step-by-step explanation:
As far as I can tell, all you are doing is distributing the 13 into the numbers. You multiply 13* 1n, 13*4, and 13*7m to give you 13n +52+91m.
Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches
What is the greatest possible whole-number length of the unknown side?
Answer:
Step-by-step explanation:
If you add the lengths of two sides, 12 and 14, you will get 28. Using the above theorem, the third side cannot be greater than or equal to 28. Therefore, the greatest possible whole-number length of the unknown side is 27.
Answer:
Step-by-step explanation:
7 or C
Need answers for 1 and 2. Please
Answer:soultion
Step-by-step explanation: solution
Please help I don't get this
Answer:
18n+9
Step-by-step explanation:
9(2n+1)
multiply the 9 with the numbers in the parenthesis18n+9
1) Heather writes a number that shows 30 parts of 100. Select all that could be Heather's number. 0 0.30 3/100 30/10 0.3 30/100 ! This is a required question
Answer:
im guessing .30, .3, and 30/100
Step-by-step explanation:
im not sure how to explain it but fractions. yes.
I will venmo if someone can please help me
Answer: 14.967
Step-by-step explanation:
Use Pythagorean Theorem to find the missing length.
a² + b² = c²
x² + 10² = 18²
x² + 100 = 324 [Subtract 100 from both side]
x²= 224
√x² = √224 [solve the square root from both sides]
x ≈ 14.967
Solve for b. —11b + 7 = 40 b =
Answer:
-3
Step-by-step explanation:
-11(-3)+7=40
33+7=40
Dexter deposited 6,300 into a saving account that earns 2.60% simple interest per year. How much interest will she earn in 4 years
Answer:
2
Step-by-step explanation:
HELP PLEASE PLEASE HELP, also show work!
Answer:
1 6 3b 0ny 5i bhk
Step-by-step explanation:
I need some gosh darn help because I will fail my math test. Suppose two angles in a coordinate plane, one measuring 80 and the other measuring 160, were both rotated 180 about the origin and then translated 40 units down. which of these would be a measure of one of the resulting angles? Select 2 answers
Answer:
120 and 40
Step-by-step explanation:
Because when we subtract 80 and 40 is equal 40 or 160 and 40 is 120.
r+6<10 what’s the answer?
Answer:
r < 4
Step-by-step explanation:
r+6<10
r < 4