Answer:
41 minutes 40 seconds
Step-by-step explanation:
10km = 10000m
10000/4 = 2500 seconds
2500/60 = 41.6666...
Hence, 41 minutes 40 seconds.
To solve such type of problems in math's we must know the formula related to motion specifically speed. The time taken for Cameron to complete the race is 2500s
What is time of motion?When any object cover a particular distance with particular speed then it takes a particular time and this time is called time of motion. The unit of time can be seconds, minutes or hours.
The time of motion is calculated as follows;
time = distance/speed
As distance is given in kilometer so we need to convert kilometer to meter as our speed is in meter per second, so to cancel out the units we must do the conversion and the substituting the values in the above formula
time = 10000/4
time = 2500s
Thus, the time taken for Cameron to complete the race is 2500s when average speed is 4 m/s
Learn more about time of motion, here:
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A plane leaves an airport traveling at 400 mph in the direction N 45° E. A wind is blowing at 40 mph in the direction N 45° W. What is the ground speed of the plane?
400 mph
402 mph
429 mph
440 mph
Answer:
402 mph
Step-by-step explanation:
Draw a right triangle with 400 and 40 as the two legs.
You know this is a right angle because 45 degrees NE is perpendicular to 45 degrees NW. (imagine a compass)
So, the two side lengths are 400 and 40
Using the Pythagorean theorem, (a^2 + b^2 = c^2) you can see that the answer is 401.995, or 402
The ground speed of the plane is 402 mph , Option B is the correct answer.
What is a Right Angled Triangle ?A right angle triangle is a triangle with one of its sides 90 degree.
It is given that
airplane is travelling at speed of 400mph in the direction N 45° E
wind is blowing at 40 mph in the direction N 45° W
The resultant of these two vectors will be the ground speed of the plane.
As they both are travelling in perpendicular directions ( NE is perpendicular to NW)
A right angled Triangle as attached in the image will be formed
Hypotenuse by Pythagoras theorem will give the ground speed of the plane
Hypotenuse = [tex]\sqrt { 40 ^2 + 400^2}[/tex]
Hypotenuse = 401.99 mph
Therefore the ground speed of the plane is 402 mph.
To know more about Right Angled Triangle
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A cone has a volume of 414.48 cubic yards and a height of 11 yards. What is its radius?
Answer:
r ≈ 6
Step-by-step explanation:
r= 414.78
π x 11
≈ 5.99848
Because of this, the answer is rounded up to 6, but the exact answer is about 5.99848
Answer:
this isnt related to the question but i hope ur having a good day
Step-by-step explanation:
solve the formula for x
Gx +Hy=J
Answer:
x = [tex]\frac{J-Hy}{G}[/tex]
Step-by-step explanation:
This question is from the topic subject of formula. It implies expressing x in terms of G, H y and J.
Given that: Gx + Hy = J
Subtract Hy from both sides to have;
Gx + Hy - Hy = J - Hy
⇒ Gx = J - Hy
Then divide both sides by G, so that we have;
x = [tex]\frac{J-Hy}{G}[/tex]
Therefore,
x = [tex]\frac{J-Hy}{G}[/tex]
how many solutions does the equation 7x-4=7x+15
Answer:
No solution
Step-by-step explanation:
7x-4=7x+15
-4 = 15 = not true
Answer:
0 because is you -7x from both sides you get -4=15 which doesn't work.
Step-by-step explanation:
What is the standard form equation 9(g-5h)
Answer:
9g - 45h
Step-by-step explanation:
9 (g - 5h)
= 9g - 45h
y= 14 - 0.5x what does y=
238% of what number is 47,600?
Answer:
I think 200
Step-by-step explanation:
47600/238=200
200*238=47600
Answer:
the answer is actually 20000
Step-by-step explanation:
238% x =47,600
2.38x=47,600
47,600/2.38= 20000
choose the point slope form of the equation
Answer:
Step-by-step explanation:
y+3=1/2(x-6)
The area (A) of a rectangle varies jointly as the length (l) and the width (w), and whose A = 60 sq. cm when l = 4 cm and w = 3 cm. What is the area of rectangle if the length is 6 cm and whose width is 3 cm?
Answer:
The area is 90 sq. cm
Step-by-step explanation:
Given
The variation can be represented as:
[tex]A\ \alpha\ l * w[/tex]
Area = 60, when l = 4 and w = 3
Required
Find Area, when l = 6 and w = 3
Represent the variation as an equation
[tex]A = k(l * w)[/tex]
Where k is the constant of variation.
Substitute 60 for A, 4 for l and 3 for w
[tex]60 = k * (4 * 3)[/tex]
[tex]60 = k * 12[/tex]
Make k the subject
[tex]\frac{60}{12} = k[/tex]
[tex]5=k[/tex]
[tex]k=5[/tex]
To get the value of Area when l = 6 and w = 3.
Substitute 5 for k, 6 for l and 3 for w in [tex]A = k(l * w)[/tex]
[tex]A = 5 * 6 * 3[/tex]
[tex]A = 90[/tex]
The area is 90 sq. cm
3
:) A plane has 14 First Class seats, 70 Premium seats and 168 Economy seats
Find the ratio First Class seats : Premium seats : Economy seats.
Give your answer in its simplest form.
2
Answer:
70-14=56 168-56=112
Step-by-step explanation:
i need help with finding slopes from graphs
Y=2+-4x
Step-by-step explanation:
Hope ot helps
The midpoint of AB is M (4,-2) . If the coordinates of A are (3,-6) , what are the coordinates of B
Answer:
The coordinates of B are (5,2).
Step-by-step explanation:
Given that,
The midpoint of AB is M (4,-2).
The coordinates of A are (3,-6)
We need to find the coordinates of B. Let the coordinates of B are (x,y).
The mid point is given by :
[tex]M=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})\\\\(4,-2)=(\dfrac{3+x}{2},\dfrac{y-6}{2})\\\\\dfrac{3+x}{2}=4\ \text{and}\ \dfrac{y-6}{2}=-2\\\\3+x=8\ \text{and}\ y-6=-4\\\\x=5,y=2[/tex]
So, the coordinates of B are (5,2).
How many 3/4 inch pieces can be cut from a ribbon that is 7 1/2 inches in length?
Answer:
10 pieces
Step-by-step explanation:
7 1/2 / 3/4 =
7.5 / .75 =
10 pieces
Hope that helps!
For which equation is x=5 a solution?
2+x=3
2 plus x is equal to 3
3x=15
3 x is equal to 15
x2=10
, x over 2, is equal to 10
x−7=12
x minus 7 is equal to 12
7. Which of the following expressions contains like terms?
5xy - 13y
5x - 13xy
5xy - 13x
5xy - 13xy
Answer:
The last one
Step-by-step explanation:
Due to there being xy's in both terms
2^14=16,384 use this information to work out 2^15
Answer:
32768
Brainiest plz :)
A garden box has a perimeter of 18½ feet. If the length is 5 feet, what is the area of the garden box?
Answer:
[tex]area=\frac{85}{4}feet^{2}[/tex]
Step-by-step explanation:
1. Approach
Since it is given that the garden box is a rectangle, then the opposite sides are congruent. One can use this to their advantage, by setting up an equation that enables them to solve for the width of the rectangle. After doing so, one will multiply the width by the given length and solve for the area.
2. Solve for the width
It is given that the garden box is a rectangle. As per its definition, opposite sides in a rectangle are congruent. The problem gives the length and the perimeter of the rectangle, therefore, one can set up an equation and solve for the width.
[tex]perimeter=18\frac{1}{2}\\\\length=5[/tex]
[tex]2(length+width)=perimeter[/tex]
Substitute,
[tex]2(5+width)=18\frac{1}{2}[/tex]
Conver the mixed number to an improper fraction. This can be done by multiplying the "number" part of the mixed number by the denominator of the fraction. Then add the result to the numerator.
[tex]2(5+width)=\frac{37}{2}[/tex]
Inverse operations,
[tex]2(5+width)=\frac{37}{2}\\/2\\\\5+width=\frac{37}{4}\\-5\\\\width=\frac{17}{4}[/tex]
3. Solve for the area
Now that one has solved for the width of the box, one must solve for the area. This can be done by multiplying the length by the width. Since the width is a fraction, one must remember, that when multiplying an integer by a fraction, one will multiply the integer by the numerator (the top of the fraction), and then simplify by reducing the fraction, if possible. Reducing the fraction is when one divides both the numerator and the denominator by the GCF (Greatest Common Factor).
[tex]length=5\\\\width = \frac{17}{4}[/tex]
[tex]length*width=area[/tex]
Substitute,
[tex]5*\frac{17}{4}\\\\=\frac{85}{4}[/tex]
[tex]area=\frac{85}{4}feet^{2}[/tex]
4. What's the least common multiple of each group of numbers?
a. 5 and 6
b. 2 and 9
C. 6 and 8
d. 2,5, and 6
Answer:
5 and 6: 30
2 and 9: 18
6 and 8: 48
2, 5, and 6: 30
the sales tax rate in new york city is 8.9%. Find the tax charged on a purchase of $208, and the total cost
Answer:
$18.51 tax
$226.51 total cost
Step-by-step explanation:
208 x 0.089 = 18.51 tax
An example of an irrational number is
O A. V16
B. V25
C V36
O D. V47
Answer:
i think b is the answer
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
from what I gathered, the V is supposed to be a square root. if this is the case, then D is the only answer that does not produce a rational number. V16 is equal to 4, V25 is equal to 5, and V36 is equal to 6.
By stips please ........
Answer:
6x + 3h
Step-by-step explanation:
F(X) = 3x^2
F(X+h) = 3(X+h)^2
then F(X+h) - F(X) / h
= 3(X+h)^2 - 3x^2 / h
= 3(x^2 + 2hx + h^2) - 3x^2 / h
= 3x^2 + 6hx +3h^2 - 3x^2 / h
= 6hx + 3h^2 / h
= h (6x +3h) / h
= 6x + 3h
I hope this answer is correct
Solve for x.
3(2)x−24=0
Answer:
I love algebra anyways
the steps are in the picture with the ans
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Definition: This is a number whose value we are trying to figure out. It is often represented by a letter or
some other symbol.
Answer:
deed
Step-by-step explanation:
Find the equation of a line that passes through the points (-2, -1) and (0, -5)
Answer:
Step-by-step explanation:
slope = (-5-(-1))/(0-(-2)) = (-4)/2 = -2
y+5 = -2(x-0)
y = -2x - 5
Answer:
-2x - 5
Step-by-step explanation:
puzzle times what kind of cheese comes with a house
Answer:
WHAT DOES TGAT EVEN MEAN
Step-by-step explanation:
Answer:
Step-by-step explanation:
Kevin plants a total 72 flowers in a equal row. He plants 6 rows of yellow flowers and 2 rows of red flowers. How many flowers are in each row?
Answer:
9
Step-by-step explanation:
9 is the answer bc
6+2=8
72/8=9
(lol I hope I helped)
pls help pls pls pls help
pls help him Step-by-step explanation:
Help plz I don’t know the answer!!
Answer:201 11/21
Step-by-step explanation:
The number 4232 is called the numerator or dividend, and the number 21 is called the denominator or divisor.
The quotient of 4232 and 21, the ratio of 4232 and 21, as well as the fraction of 4232 and 21 all mean (almost) the same:
4232 divided by 21, often written as 4232/21.
Read on to find the result of 4232 divided by 21 in decimal notation, along with its properties.We provide you with the result of the division 4232 by 21 straightaway:
4232 divided by 21 = 201.523809
The result of 4232/21 is a non-terminating, repeating decimal. The repeating pattern above, 523809, is called repetend, and denoted overlined with a vinculum.
This notation in parentheses is also common: 4232/21 = 201.(523809): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 4232 / 21 = 201.523809… .
4232 divided by 21 in decimal = 201.523809
4232 divided by 21 in fraction = 4232/21
4232 divided by 21 in percentage = 20152.38095238%
Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 4232 and 21, of course. Repetends, if any, are denoted in ().
The conversion is done automatically once the nominator, e.g. 4232, and the denominator, e.g. 21, have been inserted. No need to press the button, unless you want to start over.
i put jericho but it’s wrong so i’m not sure
=================================================================
Explanation:
This is because the value -16 is closest to 0, which represents sea level.
I recommend drawing out a vertical number line. Positive numbers are above 0, to indicate elevations above sea level. Negative numbers represent elevations below sea level.
The diagram is shown below. The diagram is not to scale because the red tickmarks shouldn't be equally spaced out; however, the order is correct, and that's all we need to worry about.
Note how -16 is the highest of the four choices, which makes it the closest to sea level. Also note how as you move further down, the negative values get larger in absolute value. It might be helpful to think of a thermometer.
During a cross-country road trip, Nathan predicts that he will average 22.6 miles per gallon.
During the trip, he drives 2,882 miles and uses 131 gallons of gas. Calculate his percent error,
rounded to the nearest whole percent.
3%
6%
13%
22%
Answer:
22
Step-by-step explanation: