m∠C= __∘
In the given right triangle ABC, m∠A ≈ 26.44° and m∠C ≈ 63.56°.
To solve the right triangle ABC, we can use trigonometric ratios. In a right triangle, the three main trigonometric ratios are:
1. Sine (sin):
2. Cosine (cos):
3. Tangent (tan):
Given:
AC = 38
AB = 17
To find the angles m∠A and m∠C, we can use the sine and cosine ratios, respectively.
1. For m∠A:
2. For m∠C:
Let's calculate the angles:
Therefore, m∠A ≈ 26.44° and m∠C ≈ 63.56° (rounded to the nearest degree).
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Answer:
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of the triangle is called the hypotenuse and the other two sides are called the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
The cosine ratio is defined as:
Note the angle A of the figure has 17 as the adjacent leg and 38 as the hypotenuse, so we can directly apply the formula:
Using a scientific calculator, we get the inverse cosine:
Since A+B+C=180°, we can solve for C:
C = 180° - A - B
C = 180° - 63° - 90°
C = 26°
Thus:
Answer:
Step-by-step explanation:
hello :
The equation of a linear function in point-slope form is y – y1 = m(x – x1)
The point is A (x1 , y1)
in this exercice : y + 3 = -4(x - 5) the slope is m= -4
Answer: f(-9)= 243
Step-by-step explanation:
f(x) = 4x²+7x -18
f(-9) = 4(-9)²+7(-9)-18
= 4(81) -63-18
= 324- 81
= 243
2
+ 3x - 4, and the speed of the walkway is W(x) = x
2 - 4x + 7.
20. What is his total speed as he walks along the moving walkway?
21. Carlos turned around because he left his cell phone at a restaurant.
What was his speed as he walked against the moving walkway?
His speed was 2x² + 7x - 11 as he walked against the moving walkway.
Function is a type of relation, or rule, that maps one input to specific single output.
We are given that Carlos is walking on a moving walkway. His speed is given by the function
C(x) = 3x² + 3x - 4,
The speed of the walkway is W(x) = x² - 4x + 7.
The total speed as he walks along the moving walkway is;
x² - 4x + 7+ 3x² + 3x - 4,
= 4x² - x + 3,
Given Carlos turned around because he left his cell phone at a restaurant.
If he walked against the moving walkway
- x² + 4x - 7 + 3x² + 3x - 4,
2x² + 7x - 11
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