Answer:
Dependent variable: total distance (d)
Independent variable: number of hours (h)
Equation: d = 6h
Step-by-step explanation:
In this case given, the dependent variable, total distance (d), is dependent on the independent variable, number of hours (h). This is because, a change in the value of h leads to the change in the value of d. In order words, total distance (d) is a function of the number of hours (h).
Therefore:
Dependent variable: total distance (d)
Independent variable: number of hours (h)
Rate: 6 miles/hr
Equation: d = 6h
Answer:
Step-by-step explanation:
5 - x < 8
-5 - 5
________
-x < 3
x > -3 [Whenever you <em>divide\multiply</em> by a <em>negative</em><em>,</em><em> </em>you reverse the inequality symbol.]
* The above answer is written in reverse, which is the exact same result.
I am joyous to assist you anytime.
We want to find the probability that Berenice gets all the answers correct.
<u>1 question:</u>
Each question has 4 options, each option has the same probability of being the correct option, so she has a 25% of<u> randomly selecting the correct option.</u>
Then the probability here will just be equal to the number of correct options (1) over the total number of options (4)
p = 1/4
2 questions:
We already know the probability for one question, then the probability of getting two questions correct will be equal to the <u>product of the individual probabilities</u> for each question:
p = (1/4)*(1/4 = 1/16
3 questions:
Similar approach as before:
p = (1/4)*(1/4)*(1/4) = 1/64
4 questions:
p = (1/4)*(1/4)*(1/4)*(1/4) = 1/256
If you want to learn more, you can read:
brainly.com/question/23044118
Answer:
see explanation
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan A = 
= 
= 
, then
∠ A = 
( ) ≈ 41° ( to the nearest degree )
The sum of the angles in the triangle = 180° , then
∠ B + 41° + 90° = 180°
∠ B + 131° = 180° ( subtract 131° from both sides )
∠ B = 49°
Using Pythagoras' identity in the right triangle
AB² = BC² + AC² = 7² + 8² = 49 + 64 = 113 ( take square root of both sides )
AB = 
≈ 10.6 ( to the nearest tenth )
Answer:
15cm
Step-by-step explanation:
