Answer:
The dependent variable is the number of plays he carries the ball.
The independent variable is the number of touchdowns he scores.
The dependent variable is the number of yards he gains.
Step-by-step explanation:
Tom's coach keeps track of the number of plays that Tom carries the ball and how many yards he gains. Select all the statements about independent and dependent variables that are true.
The dependent variable is the number of plays he carries the ball.
The independent variable is the number of plays he carries the ball.
The independent variable is the number of touchdowns he scores.
The dependent variable is the number of yards he gains.
The dependent variable is the number of touchdowns he scores.
y = kx
y = dependent variable. it is the variable that is explained by the dependent variable
x = is the variable that explains the dependent variable
Answer: 250 miles
Step-by-step explanation:
I am not sure what grade level you are, but this is how it is done in college.
I hope it can give you an idea and be of some help.
First you have to convert 150 minutes to hours. Then you multiply your new hours to 100 miles.
150 minutes x <u> 1 hour </u> x<u> 100 miles </u>= 250 miles
60 mins. 1 hour
Answer:
C
Step-by-step explanation:
Once

We know that 
There are infinity values for
, but considering 
Below we have all the solutions for 
Negative:

Positives:

We can see that 
Answer:
√5.
Step-by-step explanation:
Tan A = 1/2 means that the right triangle containing angle A has legs of length 1 and 2 units. So the hypotenuse = √(1^2 + 2^2) = √5 (using the Pythagoras theorem). The side opposite to < A = 1 unit and the adjacent side = 2 (as tan = opposite / adjacent).
so cos A = adjacent / hypotenuse = 2/√5.
and sin A = opposite / hypotenuse = 1 / √5
cos A / sin A = 2/√5 / 1/ √5 = 2.
sin A / (1 + cos A) = 1/√5 (1 + 2/ √5)
= 1 / √5 ( (√5 + 2) /√5)
= 1 / (√5 + 2)
So the answer is:
2 + 1 /(√5 + 2).
We can simplify it further by multiplying top and bottom of the fraction by the complement of √5 + 2 which is √5 - 2.
2 + 1 / (√5 + 2)
= 2(√5 + 2) + 1 / (√5 + 2 )
= { 2(√5 + 2) + 1 } / (√5 + 2)
Multiplying this by √5 - 2 / √5 - 2 we get:
(2(5 - 4) + √5 - 2) / (5 -4)
= 2 + √5 - 2 / 1
= √5.
Answer:
<u> Consecutive Interior Angles </u>
Consecutive interior angles equal 180 degrees and they are the ones in between(inside) the parallel lines, so that means that these angles..
∠2+∠9= 180
∠4+∠11= 180
∠6+∠13= 180
∠8+∠15= 180
<u> Consecutive Exterior Angles </u>
Consecutive exterior angles also equal 180 degrees, but they are on the outside of the parallel lines. They are...
∠1+∠10= 180
∠3+∠12= 180
∠5+∠14= 180
∠7+∠16= 180