Answer:126.4285714
Step-by-step explanation:
Answer:
60km
Step-by-step explanation:
75/10=x/8
Solve For X
75*8=600, 600/10=60
THEREFORE
75/10=60/8
You could ALSO Divide 75 by 10, get 7.5, and multiply THAT by 8, as the car is assumed to have constant gas usage
Answer:
60km
Step-by-step explanation:
Let x represent the required distance.
Since the quantity of petrol is directly proportional to the distance:
x : 75 = 8 : 10
i.e. =
x =
x = 60
∴ The distance is 60 km.
Hope this helps!!!
y = arccosx and y = arctanx
y = arctanx and y = arccotx
y = arcsinx and y = arctanx
The function are symmetric with respect to the origin is y = arcsinx and y = arctanx and this can be determined by using the trigonometric property.
The following steps can be used in order to determine which functions are symmetric with respect to the origin:
Step 1 - Check all the options given in order to determine which functions are symmetric with respect to the origin.
Step 2 - Substitute (x = 0) in option a), that is:
Step 3 - Substitute (x = 0) in option b), that is:
Step 4 - Substitute (x = 0) in option c), that is:
Step 5 - Substitute (x = 0) in option d), that is:
For more information, refer to the link given below:
Answer:
The correct option is;
y = arcsinx and y = arctanx
Step-by-step explanation:
The given options are;
1) y = arcsinx and y = arccosx
Here, we have at the origin, where x = 0, arccosx ≈ 1.57 while arcsinx = 0
Therefore arccosx does not intersect arcsinx at the origin for it to be symmetrical to arcsinx or the origin
2) y = arccosxy and y = arctanx
Here arctanx = 0 when x = 0 and arcos x = 1.57 when x = 0 therefore, they are not symmetrical
3) y = arctanx and y = arccotx
Similarly, At x = 0, arccotx = 1.57 therefore, they are not symmetrical
4) y = arcsinx and y = arctanx
Both functions arcsinx and arctanx pass through the origin and their shapes are similar but inverted as they go from negative to positive.
The statement 'Half of j minus 5 is the sum of k and 13' represents an algebraic equation and it can be written in the mathematical form as j/2 - 5 = k + 13. To solve for j, the equation can be rearranged to j = 2*(k + 13 + 5).
The question seems to involve solving an algebraic equation. First, let's convert the statement, 'Half of j minus 5 is the sum of k and 13', into its mathematical form.
Here 'half of j' can be written as j/2, 'minus 5' as '- 5', and 'the sum of k and 13' can be written as k + 13.
So the mathematical equation is: j/2 - 5 = k + 13.
If you need to solve this for j, you can rearrange the equation like so: j = 2*(k + 13 + 5). This formula will give you the variable j with respect to variable k.
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