The answer is shown below:
Rectangle JKLM has an area of 36 square centimeters. The side is at least 4 centimeters long. Prove: KL is 9 centimeters. Assume that a. "KL > 0". Then the area of rectangle JKLM is greater than b.) "40 centimeters² ", which contradicts the given information that c. the area is 40 centimeters². So the assumption must be false. Therefore, d.) "KL <= 10".
Answer:
The area of this park is 130.60 square miles.
Step-by-step explanation:
Given : The scale of a certain map is
inch = 16 miles. A square park is represented on the map by a square with side length
inch.
To find : What is the actual area of this park?
Solution :
The scale of a certain map is
inch = 16 miles.
Let the side length of
inch = x miles.
So, 




The side length of a square is 11.428 miles.
The area of the square is
.


To nearest hundredth,
The area of this park is 130.60 square miles.
Answer:
69.01 m
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you ...
Tan = Opposite/Adjacent
The tangent function is useful for problems like this. Let the height of the spire be represented by h. The distance (d) across the plaza from the first surveyor satisfies the relation ...
tan(50°) = (h -1.65)/d
Rearranging to solve for d, we have ...
d = (h -1.65)/tan(50°)
The distance across the plaza from the second surveyor satisfies the relation ...
tan(30°) = (101.65 -h)/d
Rearranging this, we have ...
d = (101.65 -h)/tan(30°)
Equating these expressions for d, we can solve for h.
(h -1.65)/tan(50°) = (101.65 -h)/tan(30°)
h(1/tan(50°) +1/tan(30°)) = 101.65/tan(30°) +1.65/tan(50°)
We can divide by the coefficient of h and simplify to get ...
h = (101.65·tan(50°) +1.65·tan(30°))/(tan(30°) +tan(50°))
h ≈ 69.0148 ≈ 69.01 . . . . meters
The tip of the spire is 69.01 m above the plaza.
The answer is 223.75 because you multiply 12.5 and 17.9
1. 4^2 +x^2 = 6^2
16 + x^2 = 36
x^2 = 20, x = sqrt(20) = 4.47 miles
2. using the same equation as above: 20 inches
3. needs to be a right triangle so A
4. using distance formula answer is 7.07 units
5.volume cylinder: 62.82, volume sphere: 33.51, difference:=62.82 -33.51 = 29.31 cubic inches