Answer:
See below.
Step-by-step explanation:
When Brian passes Alex they both have travelled the same distance.
Call this distance d.
Let the speed that Brian passes = x miles/hour.
Distance = speed * time so:
For Alex:
d = (x - 5) * 1.5 ( Alex cycles for 1 + 30 minutes = 1.5 hours)
For Brian:
d = x * 1
So substituting d = x in Alex's equation:
x = 1.5(x - 5)
x = 1.5x - 7.5
7.5 = 0.5x
7/5 / 0.5 = x
15 = x.
ANSWER:
Brian's speed is 15 miles/hour.
Alex's speed is 15 - 5 = 10 miles/hour.
A researcher's design of an experiment is to make clearer already known
facts, or to discover new knowledge.
The responses are:
- Experimental units: <u>The customers</u>
- Explanatory variable: The <u>type of checkout used</u>
- Treatments: The <u>checkout to which a customer is sent to</u>
- Response variable: The <u>time it takes to check out</u>
Reasons:
The aim of the experiment is to determine if self-check out is faster than
regular checkout.
The number of customers sent to one of the checkout options = 100
The experimental units are the subject of the experimental treatment.
Therefore;
- <u>The experimental units are the customers</u> that are sent to a particular checkout.
An explanatory variable is the manipulated variable in an experiment. An explanatory variable is known as an independent variable.
- In the question, <u>the explanatory variable are the type of checkout</u>; Self-checkout or regular checkout
Treatments are the levels of the explanatory variable available in the experiment, or a combination of the levels. The treatment is what the experimental units are subjected to.
- In the question, <u>the treatment are the use of self-checkout or regular checkout</u>.
The response variable, is also known as the dependent variable, that depends on the treatment an experimental unit is subjected to.
- <u>The response variable in the question is the times it takes to checkout</u>
Learn more about experimental design here:
brainly.com/question/2118275
Answer:
Step-by-step explanation:
Given:
Right ∆ with,
Hypotenuse = x
Opposite = 9
Reference angle 
= 39°.
Required:
The value of x
Solution:
Since we are given a reference angle with opposite length, and we are to find the hypotenuse length, x, apply the following trigonometric ratios formula:
Plug in the values into the equation
Multiply both sides by x
Divide both sides by sin(39)
(to 2 decimal places)
<h2>X = 9</h2><h3></h3><h3>All of the equations are equal since it is an equilateral triangle.</h3><h3>So, just pick two equations and solve them.</h3><h3 /><h3>3x - 1 = 2(x + 4)</h3><h3>distribute</h3><h3>3x - 1 = 2x + 8</h3><h3>add 1 to both sides</h3><h3>3x = 2x + 9</h3><h3>subtract 2x from both sides</h3><h3>x = 9</h3><h3 /><h3>DOUBLE-CHECK (If you want to)</h3><h3>4x ÷ 2 + 8 = 3x - 1</h3><h3>subtract 8 from both sides</h3><h3>4x ÷ 2 = 3x - 9</h3><h3>simplify</h3><h3>2x = 3x - 9</h3><h3>subtract 3x from both sides</h3><h3>-x = -9</h3><h3>divide both sides by -1</h3><h3>x = 9</h3><h3 /><h3>TRIPLE-CHECK (If you want to)</h3><h3>4x ÷ 2 + 8 = 2(x + 4)</h3><h3>simplify</h3><h3>2x + 8 = 2x + 8 (It's already equal)</h3>
Given radius,
A = 4•pi•r^2
1. 452.39
2. 3216.99
3. 2827.43
