First we would need to make a diagram, and from the given it would seem like it is a right triangle with the height as 760 ft. We have an angle given 89°18' which would need to be converted to degrees form, which is 89.3<span>°.
Now we would need to look for the ground distance, meaning the adjacent of the triangle. Since we have been given the angle and the height (which is the opposite side from the angle) we use the trigonometric function cotangent.
</span><span>760 Cot <span>[<span><span>(<span>89.3</span>)</span>∘</span>]</span>= 9.29 ft, that is the answer.</span>
Answer:
$295,245
Step-by-step explanation:
Each year the value is 0.9 times what it was the year before. After 5 years, the value is ...
$500,000 × 0.9^5 = $295,245
Answer:
x = - 4, x = 6
Step-by-step explanation:
Given
f(x) = x² - 2x + 3 and f(x) = 27, then equating the 2 gives
x² - 2x + 3 = 27 ( subtract 27 from both sides )
x² - 2x - 24 = 0 ← in standard form
Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 2)
The factors are - 6 and + 4, since
- 6 × 4 = - 24 and - 6 + 4 = - 2, thus
(x - 6)(x + 4) = 0
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 4 = 0 ⇒ x = - 4
Answer:
216.66
Step-by-step explanation:
If the diameter is 26 feet, then the area is half of 26, which is 13.
then you find the square root of the radius which is 169.
Then you multiply 169 by pi, which is described as 3.14.
And you get 216.66, so therefore, the answer is 216.66.
Answer:
21. B
22. D
23. C
24. y = 3x - 12
Step-by-step explanation:
21. it has to be a positive slope since the graph shows it is increasing/positive slope. Has to be A or B. But it isn't A because where x = 1 1/2, y doesn't equal 0 like the graph shows.
22. It is D if you rewrite the equation starting with y=, so you subtract 2x on both sides to get y = -2x +6. Parallel means slopes are the same, so the slope has to be -2, which is D.
23. The only one that fits the description is C.
24.
in standard form, rearrange the equation so only y is on one side, the rest on the other.
-4x + 2y = 2x - 24
first add 4x on both sides so -4x cancels out on the left hand side.
-4x + 4x + 2y = 2x + 4x - 24
simplify it and get 2y = 6x - 24
divide both side by 2
y = 3x - 12
plot this as shown with arrows on lines.
please give thanks :)