Answer: 57 ft²
Step-by-step explanation:
Find the areas of the two individual rectangles and then add that up to find the area of the figure:
Rectangle A: Rectangle B:
= Length * Width = 11.5 * 3
= 7.5 * 3 = 34.5ft²
= 22.5 ft²
Area of figure:
= 22.5 + 34.5
= 57 ft²
Answer:
183 miles to the nearest mile.
Step-by-step explanation:
Distance =Speed X Time
Distance of Truck B from point A=45 X2 =90 miles
Distance of Truck C from point A=55 X2 =110 miles
Angles between them, BAC=132°
We want to find the Distance BC denoted by a between the trucks.
Using Cosine Rule,
a²=b²+c²-2bcCos A
=90²+110²-(2X90X110XCos132°)
=33448.79
a=√33448.79
BC=182.89 miles
The distance between the trucks is 183 miles to the nearest mile.
<h2>
Answer:</h2>
The conditional statement is:
- If two lines are parallel then they lie in the same plane.
<h2>
Step-by-step explanation:</h2>
We know that a conditional statement is the statement which is written in the form of:
If p then q i.e. p → q
where p is the hypothesis of the statement.
and q is the conclusion of the statement which is based on the hypothesis.
Here we are given a statement as:
Two parallel lines lie in the same plane.
i.e. the hypothesis of the conditional statement is:
Two lines are parallel.
and conclusion is: They will lie in the same plane
( Because if two lines lie in the same plane then we can't conclude that they will be parallel )
<u>Answer:</u>
E(n) = n + 5
<u>Explanation:</u>
The profit is the difference between the amount of money received as a revenue and the amount of money spent as expenses.
<u>This means that:</u>
Profit = Revenue - Expenses
<u>Rearrange the formula to solve for the expenses, we get:</u>
Expenses = Revenue - Profit
<u>We are given that: </u>
Revenue = R(n) = 18n
Profit = P(n) = 17n - 5
<u>Substitute in the above formula to get the formula for expenses as follows:</u>
E(n) = R(n) - P(n)
E(n) = 18n - (17n-5)
E(n) = 18n - 17n + 5
E(n) = n + 5
Hope this helps :)
