Answer:
QR = 65.4 m
Step-by-step explanation:
a. Apply Law of Cosines to find QR:
p² = q² + r² - 2qr × Cos P
p = QR = ?
q = PR = 150 m
r = PQ = 120 m
P = 25°
Plug in the values
p² = 150² + 120² - (2)(150)(120) × Cos(25°)
p² = 22,500 + 14,400 - 36,000 × 0.9063
p² = 36,900 - 32,626.8
p² = 4,273.2
p = √4,273.2
p ≈ 65.4 m (nearest tenth)
QR = 65.4 m
The distance from their house the Bensons' after 412 hours will be 18, 640 miles
<h3>What is a function?</h3>
A function is an expression or rule that explains the relationship between a dependent and independent variable.
Given the function;
d= 45 t + 100
Where;
- d is the total distance
- t is the time taken
If t = 412 hours
Substitute into the formula
d = 45 ( 412) + 100
d = 18540 + 100
d = 18, 640 miles
Thus, the distance from their house the Bensons' after 412 hours will be 18, 640 miles
Learn more about functions here:
brainly.com/question/2456547
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<span>Write 7.4 as a mixed number and as an improper fraction. Do not try to simplify your answers.
</span>
The answer is 37/5
Answer:
The equation that can be used to determine the maximum height is given as h = 15tan4.76°
Step-by-step explanation:
The question given is lacking an information. Here is the correct question.
"By law, a wheelchair service ramp may be inclined no more than 4.76 degrees. If the base of the ramp begins 15 feet from the base of a public building, which equation could be used to determine the maximum height, h, of the ramp where it reaches the building's entrance"
The whole set up will give us a right angled triangle with the base of the building serving as the adjacent side of the triangle and the height h serving as the opposite side since it is facing the angle 4.76°
The side of the wheelchair service ramp is the hypotenuse.
Given theta = 4.76°
And the base of the building = adjacent = 15feet
We can get the height of the building using the trigonometry identity SOH CAH TOA.
Using TOA
Tan(theta) = opposite/Adjacent
Tan 4.76° = h/15
h = 15tan4.76°
The equation that can be used to determine the maximum height is given as h = 15tan4.76°
5 2/7 is the answer.
37÷7= 5 remainder 2. Then it will be 5 2/7.
