Answer:
(1)55.5 feet
(2)7.5 feet
Step-by-step explanation:
<u>Question 1</u>
The diagram is attached below.
Using Trigonometric ratio

The height of the house is 55.5 feet to the nearest tenth.
<u>Question 2</u>
In the diagram, we are required to find the distance the bird must fly to be directly above the fish. This has been represented by x.
Using Trigonometric ratio

The distance the bird must fly to be directly above the fish is 7.5 feet.
Answer:
B.y = 3x2 - 6x - 3 is the second option of the options provided as the solution.
Write y+6=3(x2-1)2=> y+6=3x2-6x+3=> y=3x2-6x-3 as the justification.
2x + 2(x + 2) = 24
2x + 2x + 4 = 24
4x = 24 - 4
4x = 20
x = 20/4
x = 5
The value of x that holds true for the equation is : x = 5.
So the width of the rectangle is 5 inches and the length is (x + 2 = 5 + 2) = 7 inches
Answer:
-8 ≤w ≤-2
Step-by-step explanation:
8, 10, 12
A helpful equation:
x+x+1+x+2 = 30
Combine like terms
3x + 3 = 30
Subtract 3 from each side
3x = 27
Divide each side by to isolate x
x = 9
x = 9. However, 9 is not an even number. Let’s subtract 1 from 9 to get the first even number.
The first number is 8. The best two even numbers after 8 are 10 and 12.
8 + 10 + 12 = 30, thus this is the sequence.