Answer:
Step-by-step explanation:
Given that a car mechanic rounds a car's weight to the nearest thousand
By rounding off to nearest 1000, we mean we look at the last three digits. If these digits are 500 or greater, then we round the thousands digit up, and if they are less than 500, then we round down, keeping the thousand's digit the same.
To simplify the above we can say the 100th digit if greater than or equal to 5, we round off the 1000th digit by 1 up otherwise leave it as it is
Example, 18765 is rounded off as 19000 while
15462 is rounded off as 15000
Here the answer after rounding off is 4000
This is possible if the weight was atleast 3500 because in this case he would round off to 4000 or highest 4499.
If 3499 or 4500 the rounding off would not have been 4000
So least number is 3500 and greatest number is 4499.
Answer:
y=8x+5
Step-by-step explanation:
Answer:
1. From sin²θ +cos²θ =1 and sinθ=-2/3, we see that cosθ=√(1-sin²θ) or cosθ=√5/3, where the sign of cosine is positive as it is in Quadrant IV. x lies in 4th quadrant , cos x is +ve. , cos x = √5/3. Answer.
answer : cos x = √5/3
2. 4/3
3. sin (- theta) = - sin (x) so sin x = 1/6
tan = sin / cos = 1/6 / cos = - sqrt35/35 solve for cos
cos = 1/6 * (-35/sqrt35)
= -35 sqrt35 /210
answer : −35/√210
4. The cosine function is an even function, so cos(θ) = cos(-θ).
The relationship between sin(θ) and cos(θ) is sin(θ) = ±√(1 -cos(θ)^2)
For sin(θ) < 0 and cos(θ) = (√3)/4, sin(θ) = -√(1 -3/16) = -√(13/16)
sin(θ) = -(√13)/4 For sin(θ) < 0 and cos(0) = √(3/4), ...
sin(θ) = -√(1 -3/4) = -√(1/4) sin(θ) = -1/2
answer : -13/√4
5. answer : tan^2 θ ⋅ cos^2 θ = 1 − cos^2 θ would be the first step
Answer: 1. No 2. yes 3. yes 4. no
Step-by-step explanation:
If you locate the points on the graph, 1 and 4 are not in the shaded and 2 and 3 are, which means they are not solutions.
Answer:
Step-by-step explanation:
g(x) is vertical translation of f(x) by -12 units