Answer:
-5.65
Step-by-step explanation:
Answer:
Step-by-step explanation:
The distance between points and is
Hence, the distance between points and is
A gardener is building a flower garden with a border of mulch around it. A model of the design is shown.
A large rectangle with dimensions of 10.5 feet by 16 feet. A smaller rectangle with dimensions of 5.5 feet by 8 feet inside of the larger one.
Part A: Find the area of the mulch border that surrounds the 5.5 ft by 8 ft flower garden. Show all work.
Part B: If the mulch cost $3.64 per sq ft, how much will the mulch for this project cost? Show all work.
Answer:
Part A:
To find the area of the mulch border, we need to subtract the area of the smaller rectangle (flower garden) from the area of the larger rectangle.
The area of the larger rectangle is given by:
Area = length * width = 10.5 ft * 16 ft = 168 sq ft
The area of the smaller rectangle (flower garden) is given by:
Area = length * width = 5.5 ft * 8 ft = 44 sq ft
Therefore, the area of the mulch border is:
Area of mulch border = Area of larger rectangle - Area of smaller rectangle
Area of mulch border = 168 sq ft - 44 sq ft = 124 sq ft
Part B:
To find the cost of the mulch for this project, we need to multiply the area of the mulch border by the cost per square foot.
Cost of mulch = Area of mulch border * Cost per sq ft
Cost of mulch = 124 sq ft * $3.64/sq ft
Multiplying the values gives:
Cost of mulch = $451.36
Therefore, the mulch for this project will cost $451.36.
Answer:
negative
Step-by-step explanation:
Left to Right, The line is pointing downwards, therefore is negative. When the line is pointing up it is positive. :)
Hope I helped,
PumpkinSpice1
Answer:
Negative slope.
Step-by-step explanation:
It is a rule in slope.
Hope this helps! Have a nice day!
Answer:
The lighthouse is 424 feet away.
Step-by-step explanation:
There is no other way to do this but to use one of the 6 trigonometry functions.
Drawing
Draw a dotted horizontal line.
judge an angle that could be 23o. Let it slant downward from the left side of the dotted line.
Draw another horizontal line that represents sea level.
Join the left side of the dotted line to the last line you drew. The angle on your right is also 23o.
Function
You have 6 trig functions to choose from. You have the lighthouse height (180 feet) the angle on your right, and the length on the horizontal representing the distance from the lighthouse base to the boat.
You have an angle
You have an opposite side
You have a horizontal line (the adjacent side)
You want to use the tangent function.
Tan(23) = opposite / ad
Tan(23) = 180 / adjacent Multiply both sides by the adjacent
adjacent*Tan(23)= 180 Divide by Tan(23)
adjacent = 180/Tan(23)
adjacent = 180 / 0.42447
adjacent = 424 feet.
As for a specific equation, I could not say. However, I can tell you how to find x!
The first thing to remember is that a straight line has a 180 degree angle.
You see on the bottom side that we have a 146 degree angle. Now look at the top side. Look closely, and you will see that the two sides are actually identical!
Don't see it? Look at the line on top between x and 56, and imagine it is not there. You see that we actually have the same 146 degree angle, just flipped right side up!
However, this angle does not say 146, but makes an extra line between them with x and 56. This means that x + 56 equals 146!
So we can find x by subtracting 56, from 146, which is... 90!
Explain.