The ground speed (G) is given as
.[tex]G=\sqrt{(600\dfrac{\sqrt{3}}{2}+20)^2+(300+40\dfrac{\sqrt{3}}{2}})^2}[/tex]
The correct potion is B.
What is a vector?The quantity which has magnitude, direction and follows the law of vector addition is called a vector.
An airplane is flying in the direction of 30 degrees South of West at 600 mph. A wind is blowing in the direction of 60 degrees North of East at 40 mph.
It means the airplane is flying in the opposite direction of the wind.
The component of an airplane will be
[tex]x=-600sin30\\\\x=\dfrac{-600}{2}=-300\\\\y=-600cos30\\\\y=\dfrac{-600 \sqrt{3}}{2}}[/tex]
The component of wind will be
[tex]x=40cos60\\\\x=\dfrac{40}{2}=20\\\\y=40sin45\\\\y=\dfrac{40\sqrt{3}}{2}}[/tex]
Then the ground speed will be
.[tex]G=\sqrt{(600\dfrac{\sqrt{3}}{2}+20)^2+(300+40\dfrac{\sqrt{3}}{2}})^2}[/tex]
Then the correct potion is B.
More about the vector link is given below.
brainly.com/question/13188123
Answer:
C and B
Step-by-step explanation:
C and B
(3x^2-10x+4)+(10x^2-5x+8)
(3x
2
−10x+4)+(10x
2
−5x+8)
Answer:
30x^4-115x^3+127x^2+115x+44
Step-by-step explanation:
This is what I got, let me know if I'm right.
Use the long division method to find the result when 4x3 + 11x2 + 30x + 18 is
divided by 4x + 3.
Which property was used to simplify the expression?
3c+9+4c+=3c+4c+9
distributive property
commutative property
associative property
inverse property
Answer:
(b) commutative property
Step-by-step explanation:
The "simplified" expression has the positions of the last two terms in the sum swapped. The property of addition that lets you change the order of the terms is the commutative property of addition.
Harry's kitchen table is round and has a radius of 2 feet. What is the tabletop's diameter?
Answer:
4
Step-by-step explanation:
An object's radius is half of the object's diameter.
Solving for diameter
d = r * 2Solving for radius
r = d/2d = r * 2
= 2 * 2
= 4
The diameter of Harry's table is 4 feet.
Last Question HELP
What is the inverse of `y = 5x + 7
Show Steps!
Answer:
[tex]\sf y' = \dfrac{x-7}{5}[/tex]
Explanation:
⇒ y = 5x + 7
⇒ 5x + 7 = y
⇒ 5x = y - 7
⇒ x = (y-7)/5
replace x with y
⇒ y' = (x-7)/5
Take this and solve for x
5x=y-7x=y-7/5Interchange y and x
y=x-7/5So
The inverse is
[tex]\\ \rm\dashrightarrow y^{-1}(x)=\dfrac{x-7}{5}[/tex]
Find the measurement for x.
Answer:
x=120 degrees
Step-by-step explanation:
All triangle add up to 180 degrees so first you need to finnish the triangle which is 60 degrees. X and 60 degrees is on a straight line which means something + 60= 180.
(180-60=120)
x= 120
Choose Your Own Solution
3x + 8 = 3x +?
What would make it true for just one value of x?
Answer:
Your answer would be
x = 8
Solve the system.
2x + y = -3
-2y = 6 + 4x
Write each equation in slope-intercept form
Answer:
y=−3−2x
Step-by-step explanation:
y=−2x−3
Answer:
The answer for both is y=-2x-3
Step-by-step explanation:
I hope this helps!
Please help!! Will mark brainlyest.
Answer:
Reflected on the Y axis
Step-by-step explanation:
x axis is 0, while y axis is both 7 and -7.
Two solids are described in the list below.
• One solid is a sphere and has a radius of 6 inches.
• The other solid is a cylinder with a radius of 6 inches and a height of 6 inches.
What is the difference between the volumes, in cubic inches, of the solids in terms of it?
Answer:
72pi
Step-by-step explanation:
Someone earned 24$ in two years by investing 400$ what is the simple intrest
Please help me asap
Answer:
One tank can hold, on average, 108.1 gallons of water. A half tank will hold 54.05 gallons of water.
Step-by-step explanation:
432.4 galloons in total in 4 tanks
432.4 : 4
? : 1
432.4/4=108.1, so 108.1 gallons in each tank
Half of 108.1 is 54.05, so half a tank would have 54.05 gallons.
Please help me with this question.
Answer:
C
Step-by-step explanation:
C, because the second line keeps adding 6 to it and, the third line keeps adding 7.
Can someone help me with this pls
Answer:
10^4 * 4^5
Step-by-step explanation:
4^5 and 4^10 cancell out by the rule of exponents, so the denominator becomes 1. what is left is 10^4 * 4^5 in the denominator.
Answer:
[tex]{10^4*4^5}[/tex]
Step-by-step explanation:
Use the Qoutient of Powers Property: [tex]\frac{a^m}{a^n} =a^{m-n}[/tex]
[tex]\frac{10^4*4^{10} < ==a^m}{4^5 < ==a^n}\\\\{10^4*4^{10-5}}\\\\{10^4*4^5}[/tex]
Hope this helps!
What is the answer and how to solve?
You start at (6, 7). You move right 3 units and left 3 units. Where do you end?
Answer: (6,7)
Step-by-step explanation: (6,7) because if you move right 3 and then move back 3, you end up where you started. So it's the number you started with. (6,7)
ryan bought a wii game for 34.00 at the mall. he had to pay 6 % sales tax. How much did he pay in all
Answer:
$36.04
Step-by-step explanation:
34 * 1.06 = 36.04
La siguiente tabla presenta las frecuencias absolutas y relativas de las distintas caras de un dado cuando se simulan 300 lanzamientos en una página web: Si ahora se simulan 600 lanzamientos en la misma página web, Marcos cree que la frecuencia relativa de la cara con el número 6 será 0,36, porque se simula el doble de los lanzamientos originales. Por otro lado, Camila cree que la frecuencia relativa de la cara número 6 se acercará más al valor 0,166, tal como el resto de las frecuencias relativas de la tabla
La opinión correcta es la de Camila que argumenta que la frecuencia relativa de la cara con el #6 será un valor cercano a 0,166.
Qué es la frecuencia relativa?La frecuencia relativa es un término matemático que se utiliza en la estadística para referirse al número de veces que un evento se repite durante un experimento.
Por otra parte, es necesario aclara que la frecuencia relativa no se modifica en gran medida si se aumenta el número de veces de una prueba, debido a que la probabilidad de ocurrencia de este evento va a ser la misma.
De acuerdo a lo anterior, Camila tiene razón debido a que considera que el valor de la frecuencia relativa no se modifica en gran medida entre 300 o 600 lanzamientos de los dados.
Nota: Esta pregunta está incompleta porque no está la tabla. No obstante, la puedo responder basado en mi conocimiento previo.
Aprenda más sobre probabilidad en: https://brainly.com/question/16019390
The shopping center has a parking lot that is 210.12 feet by 155.13 feet. What is the perimeter of the parking lot
The shopping center has a parking lot that is 210.12 feet by 155.13 feet. The perimeter of the parking lot is 730.5 ft. P = 2(l + w); P = 2(210.12 + 155.13); P = 2(365.25); P = 730.5
Answer:
Step-by-step explanation:
b is the answer i first i was confused with the other answer but its b
Landon Wallin is an auto mechanic who wishes to start his own business. He will need $4100 to purchase tools and equipment. Landon decides to finance the purchase with a 60-month fixed installment loan with an APR of 6%.
a) Determine Landon's finance charge.
b) Determine Landon's monthly payment.
Answer:
a.$1230
b.$20.50
Step-by-step explanation:
Assuming Landon only makes the minimum payments for the sixty months this is how you would find it
Multiply loan by percentage over the five years: 4100 x .3 = 1230
Then divide that amount by months paid: 1230/60= 20.5
A triangle is inscribed in a rectangle, as shown below. What is the area of the shaded region?
option C
47.5 cm²
hope it helps...!!!
help mee!eeeeeeeee please
Answer:
50.24
Step-by-step explanation:
4²=16
16×3.14=50.24
Firstly, we must use the equation to solving a circle which is [tex]A = \pi r^2[/tex]. Since we already know pi (3.14) and the radius (4), we must plug the numbers into the formula. Here is how it should look like with the plug-ins: [tex]A = 3.14 * 4^2[/tex].
Next, we solve the formula. After solving, we get 50.24. The final answer to the problem is 50.24 inches squared.
ou are taking a multiple choice test that has 5 questions. Each of the questions has 5 answer choices, wth one correct answer per question. If you select one of these choices for each question and leave nothing blank, in how many ways cm
ou answer the questions?
ou can answer the questions in ways.
Answer:
it's 1,024
Step-by-step explanation:
4x4x4x4x4
Shade 2/3 of this grid
Answer:
The answer is in the attachment
Step-by-step explanation:
!!PLEASE PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!!
Step-by-step explanation:
Hope its helpful for you!!
Mr. Hasson is buying barbie dolls and stands for his barbie dolls. Dolls are sold in packs of 10 and stands are sold in packs of 6. What is the least number of dolls and stands he can buy so that there is a doll for every stand?
Answer:
3packs of dolls and 5packs of stands
Step-by-step explanation:
1 pack = 6stands
3packs =3×6
=30 stands
1 pack =10 dolls
3packs =3×10
=30 dolls
What is the solution to 31–3x + 91 = -18?
O x= -5
O x = 5 or x = 1
O x= -5 or x = 1
O no solution
The option will be d) no solution
Please check the attachment for full solution
The dimensions of a rectangle are:
-8x and -7x
Write the simplified expression for the rectangle's area.
Step-by-step explanation:
area=L×W
so
Area= (-8x)(-7x)
= 56x^2
Andrew is building a ramp for a snowboarding competition. The rules of the competition say that the height of the ramp must be 8 feet. Andrew has decided to make the base of the ramp and the piece of the ramp that forms the height meet at a 90° angle. The third piece of the ramp will be a straight line connecting the highest point of the ramp to the furthest point of the base, forming a 30° angle across from the 8 foot piece of the ramp. What will be the length of the third piece of the ramp?
A. 13.86 feet
B. 10 feet
C. 16 feet
D. 9.24 feet
What is 18x98 and if you were to choose between which one would you choose A)1764 B)1976 C)5676 Thank you!
Answer:
1764
Step-by-step explanation:
10 x 98 = 980
8 x 98 = 784
980 + 784 = 1764
Answer:
I would choose A) 1764
Step-by-step explanation:
I know this because I used a calculator;)
IF SAM BUY'S A CHOCOLATE AT PRICE 8 DOLLER AND SELLS THE CHOCOLATE AT PRICE 8.5 DOLLER. HOW MUCH CHOCOLATE WOULD SAM HAVE TO SELL TO MAKE A PROFIT 25 PERCENT.
Answer:
................... Sam should sell 25 chocolate
Step-by-step explanation:
hahaha