Answer:
D) cot(C) = 1/2.
Step-by-step explanation:
We can go through each choice and examine is validity.
Choice A)
We have:
Recall that secant is the ratio of the hypotenuse to the adjacent.
With respect to B, the adjacent is 6 and the hypotenuse is 7.
Therefore, sec(B) should be 7/6 instead.
A is incorrect.
Choice B)
We have:
Cotangent is the ratio of the adjacent side to the opposite.
With respect to B, the adjacent side is 6 and the opposite side is 3.
Therefore, cot(B) = 6/3 = 2.
B is incorrect.
Choice C)
C is incorrect for the reasons listed in A.
Choice D)
We have:
Again, cotangent is the ratio of the adjacent side to the opposite.
With respect to C, the adjacent side is 3 and the opposite side is 6.
So, cot(C) = 3/6 = 1/2.
Therefore, D is the correct choice!
To find this out first we will see how many cars they assemble in 1 hour. Lets do it:-
150 / 3 = 50
50 cars per hr
50 * 8 = 400
400 cars in 8 hrs
CHECK OUR WORK;-
400 / 8 = 50
We were RIGHT!!
So, in 8 hrs the factory can assemble 400 cars.
Hope I helped ya!! xD
Answer:
d) intersecting, but not perpendicular lines
Step-by-step explanation:
Changing the sign of one of the variable terms causes the line to be reflected across one of the axes. The slope is the opposite of what it was. Since the original slope was not 1 or -1, the resulting line is not perpendicular to it. Lines with different slopes will be intersecting.
The two lines are intersecting, but not perpendicular.
The answer to 1. Is c
The answer to 2. Is 176
Answer:Tara will need to buy more 8 2/3 pint of green paint.
Step-by-step explanation:
Total amount of green paint Tara has =24 pints
Amount used to to paint a landscape =1/4 x 24= 6
Amount used To painting a clover.= 5/8 x 24= 15
Amount of paint remaining = Total paint - Amount used up in painting landscape and clover
= 24 - ( 15+ 6)
24-21
=3 pints left
Since she needs 11 2/3 pints of green paints , she will need
11 2/3 - 3 = 8 2/3 .
Therefore she will need to buy more 8 2/3 pint of green paint.
