Answer:
P= 8π cm
Step-by-step explanation:
hello :
the perimeter is P= 2πr r is the radius
so : P= 8π cm
An airplane is flying at a speed of 350 mph at an angle of 100 degrees. A wind is blowing at 50 mph at an angle of 40 degrees. Find the resulting speed and direction.
The resulting speed and direction of the airplane are approximately 377.492 miles per hour and 93.413°, respectively.
How to apply vectors to find absolute velocity of the airplane
In this question we must apply vectors in rectangular form to determine the absolute velocity of an airplane. which is the sum of velocity at still air ([tex]\vec v_{A/W}[/tex]) and wind velocity ([tex]\vec v_{W}[/tex]), both in miles per hour. If we know that [tex]v_{W} = 50\,\frac{mi}{h}[/tex], [tex]\theta_{W} = 40^{\circ}[/tex], [tex]v_{A/W} = 350\,\frac{mi}{h}[/tex] and [tex]\theta_{A/W} = 100^{\circ}[/tex], then resulting velocity is:
[tex]\vec v_{A} = 50\cdot (\cos 40^{\circ}, \sin 40^{\circ}) + 350\cdot (\cos 100^{\circ}, \sin 100^{\circ})[/tex]
[tex]\vec v_{A} = (-22.474, 376.822)[/tex]
Whose magnitude ([tex]v_{A}[/tex]), in miles per hour, and direction ([tex]\theta[/tex]), in degrees, are, respectively:
[tex]v_{A} = \sqrt{(-22.474)^{2}+376.822^{2}}[/tex]
[tex]v_{A} \approx 377.492\,\frac{mi}{h}[/tex]
[tex]\theta_{A} = \tan^{-1} \left(\frac{376.822}{-22.474} \right)[/tex]
[tex]\theta_{A} \approx 93.413^{\circ}[/tex]
The resulting speed and direction of the airplane are approximately 377.492 miles per hour and 93.413°, respectively. [tex]\blacksquare[/tex]
To learn more on vectors, we kindly invite to check this verified question: https://brainly.com/question/21925479
What is 232 divided by 4
Answer: 58
Step-by-step explanation:
1st step: Start by setting it up with the divisor 4 on the left side and the dividend 232
2nd step: The divisor (4) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:
3rd step: Multiply the divisor by the result in the previous step (4 x 0 = 0) and write that answer below the dividend.
4th step: Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.Move down the 2nd digit of the dividend (3)
5th step: The divisor (4) goes into the bottom number (23), 5 time(s). Therefore, put 5 on top
6th step: Multiply the divisor by the result in the previous step (4 x 5 = 20) and write that answer at the bottom. Subtract the result in the previous step from the number written above it. (23 - 20 = 3) and write the answer at the bottom.
7th step: Move down the last digit of the dividend (2). The divisor (4) goes into the bottom number (32), 8 time(s). Therefore put 8 on top
8th step:Multiply the divisor by the result in the previous step (4 x 8 = 32) and write the answer at the bottom. Then Subtract the result in the previous step from the number written above it. (32 - 32 = 0) and write the answer at the bottom.
Therefore, the answer to 232 divided by 4 is by using long division
The required quotient is 58.
Given that 232 ÷ 4.
The long division states that divident = divisor × quotient + remainder.
Let a and b be any real numbers. Consider a ÷ b gives a = b × q + r, that implies q is quotient and r is remainder such that 0 [tex]\leq[/tex] r [tex]\leq[/tex] b.
That implies,
[tex]\begin{array}{ccc}4)&232&(58\\_-&20\\&32&\\_-&32&\\&00&\end{array}[/tex]
Therefore, the required quotient is 58.
Learn more about long division click here:
https://brainly.com/question/28748299
#SPJ6
Given: Segment AD is an altitude
Find: BC
Answer:
[tex]BC=71\text{ units}[/tex]
Step-by-step explanation:
Since AD is an altitude, we know that AD⊥BC by the definition of altitudes.
Then, this means that ∠ADC will be 90° by the definition of perpendicular lines. Therefore:
[tex]12x+6=90[/tex]
Solve for x. Subtract 6 from both sides and then divide by 12:
[tex]12x=84\\[/tex]
[tex]x=7[/tex]
Therefore, the value of x is 7.
BC is the addition of the segments BD and DC. In other words:
[tex]BC=BD+DC[/tex]
We already know the equations of BD and DC. Substitute:
[tex]BC=(5x-7)+(2x+29)[/tex]
Since we know that the value of x is 7, substitute 7 for x and evaluate for BC:
[tex]BC=(5(7)-7)+(2(7)+29))[/tex]
Evaluate:
[tex]BC=(35-7)+(14+29)[/tex]
Evaluate:
[tex]BC=28+43=71[/tex]
Therefore, the value of BC is 71 units.
Answer:
BC = 71
Step-by-step explanation:
12x + 6 = 90
x = 7
5x - 7 + 2x + 29 = 7x + 22
7(7) + 22 = 49 + 22
49 + 22 = 71
BC = 71
A mom shared $180 between her 2 daughters in the ratio of 4 : 5 respectively. Calculate how much money is the smaller share?
the mom cut 180 in 9 parts (4+5)
the smaller share is 180 x 4/9 = $80
Which expression is equivalent to StartFraction 5 y cubed Over (5 y) Superscript negative 2 Baseline EndFraction? y5 y6 125y3 125y5.
Answer:
bb
Step-by-step explanation:
Answer:
should be D
Step-by-step explanation:
1. Find the volume of the prism below. *
22 in
U! 6L
5.5 in
A 294.8 cubic inches
O B 955.9 cubic inches
O C 35.4 cubic inches
OD 179.3 cubic inches
Answer:
B
Step-by-step explanation:
V= breath times height times width
[tex]22 \times 7.9 \times 5.5 = 955.9[/tex]
help por favor how do i Multiply. Enter the product in simplest form.
3/4 x 2/11 = 3/22
Step by step explanation
multiply both numerators together: 3 x 2 = 6
multiply both denominators together: 4 x 11 = 44
3 x 2 = 6 4 x 11 = 44 = 6/44
Divide 6 by 2 and 44 by 2.
6 / 2 = 3
44 / 2 =22
thus your answer is 3/22
Hope this helps! :)
Element X decays radioactively with a half life of 10 minutes. If there are 110 grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 18 grams?
The time taken to the nearest tenth for the element X to decay from 110 g to 18 g is 26.1 mins
How to determine the number of half-lives Original amount (N₀) = 110gAmount remaining (N) = 18 gNumber of half-lives (n) =?2ⁿ = N₀ / N
2ⁿ = 110 / 18
2ⁿ = 55/9
Take the log of both side
Log 2ⁿ = Log (55/9)
nLog 2 = Log (55/9)
Divide both side by Log 2
n = Log (55/9) ÷ Log 2
n = 2.61
How to determine the time Number of half-lives (n) = 2.61Half-life (t½) = 10 minsTime (t) =?t = n × t½
t = 2.61 × 10
t = 26.1 mins
Learn more about half life:
https://brainly.com/question/26374513
What is the lenght of the side opposite the 45 degree angle?
Answer: 5√2
Step-by-step explanation:
the opposite sides on a 45 45 90 triangle
Look at the image:
how can we use the study of time measurement's in our time Management?
Answer:
We can measure the amount of time it takes us to complete a task and plan our day accordingly to fit that task in.
What is the exact volume of the cone?
0 4077 cm
10 cm
80
3
π cm²
O
160
3
TT cm
4 cm
o 160 cm
(Please help!!)
Answer:
[tex]40\pi \: {cm}^{3} [/tex] will be your answer
[tex]\tt V=\dfrac{1}{3}h\pi r^2\\\\V=\dfrac{1}{3}\times 10\times \pi 4^2\\\\V=\dfrac{160\pi }{3}[/tex]
I’m super confused about this question as it’s a new topic please help me
Check the images for steps.
Therefore, the large jar costs less per gram as it is only 0.0035 compared to the small one which is 0.0037 per gram.
Thus, the large jar is the best value for money.
PLEASE HELP ASAP!! . Identify the vertex of the parabola given by f(x) = 2x^2 – 12x + 7.
The vertex of the parabola will be;
⇒ (3, - 11)
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ f (x) = 2x² - 12x + 7
Now,
Since, The equation is,
⇒ f (x) = 2x² - 12x + 7
It can be written as;
⇒ f (x) = 2(x² - 6x) + 7
⇒ f (x) = 2(x² - 6x + 9 - 9) + 7
⇒ f (x) = 2(x² - 6x + 9) - 18 + 7
⇒ f (x) = 2 (x - 3)² - 11
By comparing with standard form of parabola y = a (x - h)² + k, we get;
⇒ (h, k) = (3, - 11)
Thus, The vertex of the parabola will be;
⇒ (3, - 11)
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
The radius of a circle is 3 m. Find its circumference in terms of pi.
The circumference of a circle is [tex]2\pi r[/tex]
r is the radius --> 3mCircumference = [tex]2\pi (3) = 6\pi[/tex]
It says to leave in terms of pi which means that we won't solve [tex]6\pi[/tex]
Thus the answer is [tex]6\pi[/tex].
Hope that helped!
-
If y varies inversely as the square of , and Y =4/63 when x=3 find y when x=5
Answer: 20/189
Step-by-step explanation: Y is proportional to x which states that 4/63 is proportional to 3 so when x=5 then it will be 5*4/63/3=20/63/3=20/63*1/3=20/189
A class of 20 students is visiting the fair today. Each student is 16 years old or younger and will participate in either the Hay Bale Toss or the Pie Eating Contest. If all 20 students joined the same event, how would the shape of the histogram change compared to the original?
Histogram with title Hay Bale Toss, horizontal axis labeled Age Group (year) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79 and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 40, the second goes to 50, the third goes to 30, and the last goes to 20. Histogram with title Pie Eating Contest, horizontal axis labeled Age Group (year) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79 and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 20, the second goes to 40, the third goes to 60, and the last goes to 50.
The Hay Bale Toss would be more symmetrical.
The Pie Eating Contest would be less symmetrical.
The Hay Bale Toss would be more skewed.
The Pie Eating Contest would be more skewed.
Answer:
C
Step-by-step explanation:
Got it right on the flvs
Mandy works construction. She knows that a 555 meter long metal bar has a mass of 40 \text{ kg}40 kg40, start text, space, k, g, end text. Mandy wants to figure out the mass (w)(w)left parenthesis, w, right parenthesis of a bar made out of the same metal that is 333 meters long and the same thickness. What is the mass of the shorter bar?
Answer:
Answer:
Proportion b. 5/3 = 40/w is the answer and w = 24 kg.
Step-by-step explanation:
it is given in the question that a metal bar was 5 meter long and has a mass of 40 kg. Mandy makes a bar again by using same metal of length 3 meters and mass w.
Since metal of the rods are same so weight per meter of the rod will be same.
mass per meter of 5 meter rod = 40/5
mass per meter of 3 meter rod = w/3
Both are same so
40/5 = w/3 is the proportion Mandy will use.
By using this proportion Mandy will get w = 3×40/5 = 24 kg
Step-by-step explanation:
what is 15 < −5x because i keep getting stuck on this and its really getting me mad
Answer:
its 3 fam just divide 15 by 5
Step-by-step explanation:
Alexa can bike home from school an hour and a half faster than she can walk home. her biking speed is 9 miles per hour faster than her walking speed. her school is 6 miles from her home. write an equation that can be used to find her walking speed, w.
The equation that can be used to find the walking speed is as follows:
w = 6 / x
How to calculate speedspeed = distance / timeTherefore,
let her walking speed = w
The time she can walk home = x hours
time she can bike home = (1.5 + x) hours
bike speed = (9 + w) miles per hours
Her school is 6 miles from her home.
Therefore, the equation that can be used to find the walking speed is as follows.
speed = distance / timew = 6 / x
learn more on speed here: https://brainly.com/question/9373193
Consider the equation x – 10 = 11 – 2x.
What is the answer to this?
Answer:
-26
Step-by-step explanation:
y=mx+c
x and y are coordinates
m is gradient
c is y-intercept
if x^2 has a number before it, divide c by that number
so -26/1 = -26
Factor out the greatest common factor in the following polynominal. x^4-8x^3+x^2
Answer:
The greatest factor of the polynomial is x^2.
To factor out x^2, we divide each term by x^2:
x^2 - 8x + 1
Don't forget to multiply back the x^2:
x^2(x^2 - 8x + 1)
I hope this helped you.
karen has 2 gallon bucket that is half full of water. when she poured the water into another bucket, that bucket was one fourth full. how much water will the second bucket hold
Answer:
1 3/4 gallons
Step-by-step explanation:
If chocolate chips have 20 calories in 2t how many calories in 3 cups
Answer:
Please Specify if the chocolate chips are measured in teaspoon or tablespoon?
Step-by-step explanation:
Assuming that the chocolate chips are measured in Teaspoons
given: 20 calories= 2 teaspoons
Now we can say that 48 teaspoons= 1 cup
therefore if 2 teaspoons make 20 calories , how many does 48 teaspoons make?
(48x20)/2 = 480 calories
we can now say that 48 teaspoons =1 cup = 480 calories
3x480=1440
so, 3 cups= 1440 calories
Hope this helps! :)
What is the surface area of the cube shown?
square centimeters
The area of one face is length x width:
Area of one face = 6.5 x 6.5 = 42.25 square cm.
There are 6 total faces on a cure.
Total surface area = 42.25 x 6 = 253.5 square cm.
Bella wants to tile a wall measuring 1.2 m by 2.16 m. She finds square tiles she likes with side lengths of 10 cm, 12 cm or 18 cm.
Which of these tiles will fit the wall exactly?
Answer:
Step-by-step explanation:
1.2m = 120 cm
2.16 m = 216cm
120×216 =25920cm
2) 10×18 = 180
25920/180= 144
√144 = 12
PLEASE HELP Solve the right triangle.
Round your answers to the nearest tenth.
Answer:
A = 40°
a = 9.0
b = 10.7
Step-by-step explanation:
The sum of interior angles of a triangle is 180°
⇒ m∠A + 50° + 90° = 180°
⇒ m∠A + 140° = 180°
⇒ m∠A = 180° - 140°
⇒ m∠A = 40°
[tex]\mathsf{\cos(\theta)=\dfrac{adjacent\ side}{hypotenuse}}[/tex]
Given:
[tex]\theta[/tex] = 50°side adjacent to the angle = ahypotenuse = 14[tex]\implies \mathsf{\cos(50)=\dfrac{a}{14}}[/tex]
[tex]\implies \mathsf{a=14\cos(50)}[/tex]
[tex]\implies \mathsf{a=9.0\ (nearest\ tenth)}[/tex]
[tex]\mathsf{\sin(\theta)=\dfrac{opposite\ side}{hypotenuse}}[/tex]
Given:
[tex]\theta[/tex] = 50°side opposite to the angle = bhypotenuse = 14[tex]\implies \mathsf{\sin(50)=\dfrac{b}{14}}[/tex]
[tex]\implies \mathsf{b=14\sin(50)}[/tex]
[tex]\implies \mathsf{b=10.7\ (nearest\ tenth)}[/tex]
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Let consider the given triangle be ABC
Here, It is given in the question that ,
[tex]\sf{ {\angle} B = 90° }[/tex][tex]\sf{ {\angle} C = 50° }[/tex][tex]\sf{ AC = 14 }[/tex]Therefore,By using Angle sum property
It states that the sum of all angles of triangles are equal to 180°That is,
[tex]\bold{\pink{ {\angle} A + {\angle}B + {\angle}C = 180{\degree}}}[/tex]
Subsitute the required values,
[tex]\sf{ {\angle}A + 90{\degree} + 50{\degree}\: =\: 180{\degree} }[/tex]
[tex]\sf{ {\angle}A + 140{\degree}\: = \:180{\degree} }[/tex]
[tex]\sf{ {\angle}A\: = \: 180{\degree} - 140{\degree} }[/tex]
[tex]\sf{ {\angle}A \: =\: 40{\degree} }[/tex]
Thus, The angle A is 40°
Now,We have to find the side a and b
We know that,
[tex]\bold{\red{ Sin{\theta} \:=\: }}{\bold{\red{\dfrac{Perpendicular }{Hypotenuse }}}}[/tex]
[tex]\bold{\red{ Cos{\theta} \:=\: }}{\bold{\red{\dfrac{ Base }{Hypotenuse }}}}[/tex]
For side A[tex]\sf{ Sin\: 40 {\degree} \:= \:}{\sf{\dfrac{ a}{ 14 }}}[/tex]
[tex]\sf{ Sin(}{\sf{\dfrac{2{\pi}}{9}}}{\sf{) \:= \:}}{\sf{\dfrac{ a}{14 }}}[/tex]
[tex]\sf{Sin(}{\sf{\dfrac{2{\times} 3.14 }{9}}}{\sf{) \:= \:}}{\sf{\dfrac{ a}{14 }}}[/tex]
[tex]\sf{sin(}{\sf{\dfrac{6.28}{9}}}{\sf{) \:=\: }}{\sf{\dfrac{ a}{14 }}}[/tex]
[tex]\sf{ a \:= \:14 {\times} 0.64}[/tex]
[tex]\sf{ a \: = \:14 {\times} 0.64}[/tex]
[tex]\bold{ a\: =\: 8.96\: \: or \:\:9\:\: (approx) }[/tex]
For Side B[tex]\sf{ Sin\: 50 {\degree} = }{\sf{\dfrac{ b }{ 14 }}}[/tex]
[tex]\sf{Sin(}{\sf{\dfrac{5{\pi}}{18}}}{\sf{)\: =\: }}{\sf{\dfrac{ b}{14 }}}[/tex]
[tex]\sf{Sin(}{\sf{\dfrac{5{\times} 3.14 }{18}}}{\sf{ ) \: = \:}}{\sf{\dfrac{ b}{14 }}}[/tex]
[tex]\sf{Sin(}{\sf{\dfrac{15.7}{18}}}{\sf{ )\: = \:}}{\sf{\dfrac{ b}{14 }}}[/tex]
[tex]\sf{ b\: = \:14 {\times} 0.76}[/tex]
[tex]\bold{ b\: = \: 10.64\:\: or \:\:10.7\:\: (approx) }[/tex]
Hence, The value of angle A , side a and b is 40° , 9 and 10.7 .
Identify a possible value for X that would make the relation shown in the table not A function. Explain.
Answer:
A possible value for X that would not make the table a function would be 5
Step-by-step explanation:
For a table to have a function, you must have a constant rate of change, changing from -1 to 5 and then to 2 would not be a constant rate of change.
Hope this helps!
Please give brainliest!
PLEASE HELP 64 POINTS!! I WILL AWARD BRAINLIEST
Answer:
no solution
Step-by-step explanation:
There are no values of x that make the equation true.
No solution
Answer:
5 divide by 8 equal 0.625 + 2 = 2.625 + x= 2.625x and 1-3x equal = 2x(5/6)= 17x
Step-by-step explanation:
A Step-by-step means moving slowly from one stage or level to the next
Don’t worry, we’ll take things one step at a time.
Just some hw. Also idk hows is your day?
Answer:
1) 3n²+11n+6
2) 2n²-4n+2
3) 4x²-9
4) r²-2r-3
5) 4n²+8n+3
6) 3p²-6p+3
Step-by-step explanation:
FOIL
plz tell me u know how to do this
my day will be amazing todayyyyyyyyyyyy bc im getting a new phone aslkdjhfajshdf