A plane is flying due east in still air at 395 km/h. Suddenly, the plane is hit by wind blowing at 55 km/h toward the west. What is the resultant velocity of the plane?
Answers
The resultant velocity relative to the passengers is still zero.
The resultant velocity relative to the ground is (395 east) + (55 west) = 340 km/hr east.
v towards passengers is 0.
so the v towards the ground is (395 kn/hr)east + (55km /hr)west = 340
hence solved
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The sales tax on the model rocket shown is $1.92. What is the percent of sales tax? A drawing of a model rocket with a tag labeled 24 dollars.
Answers
x=25
the square root of 25 is 5
that means x=5
Square root 4x^2=square root 100
4x=plus or minus 10
4x/4=plus or minus 10/4
X= -2.5, x= 2.5
18
12
20
Answers
B) 17 feet
C) 18 feet
D) 19 feet
Answers
Answer:
Answer is option b
17 feet.
Step-by-step explanation:
Given that A tree casts a 25 foot shadow. At the same time of day, a 6 foot man standing near the tree casts a 9 foot shadow.
for man actual height = 6 foot
Shadow = 9 foot
At a particular time, the height/shadow ratio would be constant
Hence 6/9 =x/25
Or x = 25(6)/9
x=16.67feet
Rounding off x=17 feet
x = (6 * 25)/9 = 16.67feet
x = approx. 17 feet
Answers
Answer:
Step-by-step explanation:
8,031,426,100
=8,000,000,000
=8×(10)^9
if (x,y) is a solution to the system of equations above, what is the value of x-y?
A)-20
B)-8
C)-4
D)8
can you show your work please
Answers
Answer:
Step-by-step explanation:
The given system of equations :
Multiply equation (1) with 3 and equation (2) with 2 , we get
Now subtract equation (4) from equation (3), we get
Substitute the value of y in equation (1), we get
Hence, the solution of the system : (x,y)=(2,6)
Now, consider and substitute the value of x and y , we get
The solution to the equation is x - y = -4
Given data ,
To solve the system of equations, we can use the method of substitution or elimination. Let's use the method of elimination:
Multiply the first equation by 3 and the second equation by 2 to make the coefficients of x in both equations equal:
(3)(2x-3y) = (3)(-14)
(2)(3x-2y) = (2)(-6)
Simplifying these equations gives:
6x-9y = -42
6x-4y = -12
Now, subtract the second equation from the first equation:
(6x-9y) - (6x-4y) = (-42) - (-12)
-5y = -30
Divide both sides by -5:
y = 6
Substitute this value of y back into one of the original equations, let's use the first equation:
2x - 3(6) = -14
2x - 18 = -14
2x = 4
x = 2
Now , the value of x - y is given by
A = x - y
A = 2 - 6
A = -4
Hence , the equation is solved
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8x12
27x9
100x3
125x5
Answers
When a number is multiplied by itself three times, then the resultant number is called a perfect cube. It is also a number with an exact cube root.
Out of the given options, and
are perfect cubes.
=
(2's are multiplied and powers are added)
=
(3's are multiplied and powers are added)
The monomials that are perfect cubes out of the options given are: B. 8x^12, and C. 27x9.
What is a Perfect Cube?
A perfect cube is a number that can give you a precise cube root, i.e. a³ = a × a × a = ∛a³ = a.
27x^9 can be expressed as: ∛(27x^9) = 3x³
8x^12 can be expressed as: ∛(8x^12) = 2x^4
Therefore, the perfect cubes are: B. 8x^12, and C. 27x9.
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