Answer:
314 ft²
Step-by-step explanation:
(100 × pi) ft²
100 × 3.14 ft²
314 ft²
The angle of depression is 29.0521°. So it is a safe landing.
Step-by-step explanation:
Step 1:
The plane is flying at a height of 25,000 feet and 45,000 feet away from the landing strip. Assume it lands with an angle of depression of x°.
So a right-angled triangle can be formed using these measurements. The triangle's opposite side measures 25,000 feet while the adjacent side measures 45,000 feet. The angle of the triangle is x°.
To determine the value of x, we calculate the tan of the given triangle.

Step 2:
The length of the opposite side = 25,000 feet.
The length of the adjacent side = 45,000 feet.

So x = 29.0521°. Since x < 30°, it is a safe landing.
Answer:
1. Radius = 84.65 in
2. Circumference = 531.65 in
3. Diameter = 169.3 in
Step-by-step explanation:
1] In order to find the area of a circle, we use the formula
Area of a circle = πr²
Where r is the radius. So substitute the value of the area of the circle in the formula, to find the radius r.
22511 = π r²
r² = 22511 ÷ π
r = 
<u>r = 84.65 in</u>
2] Now that we found the radius, we can easily find the circumference using the formula:
Circumference of a circle = 2πr
Substitute the value of r in the formula.
Circumference = 2 × π × 84.65
<u>Circumference = 531.87 in</u>
3] The diameter is twice the radius, so:
diameter = r × 2
diameter = 84.65 × 2
<u>diameter = 169.3 in</u>
Answer:
B.) 27ft
Step-by-step explanation:
The labeled points given: (5,18) and (1.5, 7.5)
Slope = (18 - 7.5)/(5-1.5) = 10.5 / 3.5 = 3
A linear model:
y - 18 = 3(x - 5)
y - 18 = 3x - 15
y = 3x + 3
If x = 8 seconds then the distance in feet (y) would be: (plug in x = 8 into the equation y = 3x + 3)
y = 3(8) + 3
y = 24 + 3
y = 27 ft
Answer:
B.) 27ft
Answer: 8
<u>Step-by-step explanation:</u>
x² - 2x + ___ - 4y² = 15 + ___
x² - 2x + <u> 1 </u> - 4y² = 15 + <u> 1 </u>
(x - 1)² - 4(y)² = 16



width of rectangle is 2
= 2(4) = 8