Answer:
34
Step-by-step explanation:
17(2)=34
Answer:
A) sin θ = 3/5
B) tan θ = 3/4
C) csc θ = 5/3
D) sec θ = 5/4
E) cot θ = 4/3
Step-by-step explanation:
We are told that cos θ = 4/5
That θ is the acute angle of a right angle triangle.
To find the remaining trigonometric functions for angle θ, we need to find the 3rd side of the triangle.
Now, the identity cos θ means adjacent/hypotenuse.
Thus, adjacent side = 4
Hypotenuse = 5
Using pythagoras theorem, we can find the third side which is called opposite;
Opposite = √(5² - 4²)
Opposite = √(25 - 16)
Opposite = √9
Opposite = 3
A) sin θ
Trigonometric ratio for sin θ is opposite/hypotenuse. Thus;
sin θ = 3/5
B) tan θ
Trigonometric ratio for tan θ is opposite/adjacent. Thus;
tan θ = 3/4
C) csc θ
Trigonometric ratio for csc θ is 1/sin θ. Thus;
csc θ = 1/(3/5)
csc θ = 5/3
D) sec θ
Trigonometric ratio for sec θ is 1/cos θ. Thus;
sec θ = 1/(4/5)
sec θ = 5/4
E) cot θ
Trigonometric ratio for cot θ is 1/tan θ. Thus;
cot θ = 1/(3/4)
cot θ = 4/3
Answer:
10.2cm
Step-by-step explanation:
Perimeter is the sum of the lengths of all sides.
1st side: 9cm
2nd side: 7.8cm
Perimeter: 27cm
Perimeter = 1st + 2nd +3rd side of a triangle
27cm = 9cm +7.8cm + 3rd side
3rd side = 27cm - 9cm -7.8cm
= 10.2cm
Answer:
M=2+2/1+5=2/3 is the slope
Step-by-step explanation:
Step 1. Convert 3 1/3 to improper fraction.
- 3 * 3 + 1/3 ÷ 9
Step 2. Simplify 3 * 3 to 9
-9 + 1/3 ÷ 9
Step 3. Simplify 9 + 1 to 10
-10/3 ÷ 9
Step 4. Use this rule: a ÷ b/c = a * c/b
-10/3 * 1/9
Step 5. Use this rule: a/b * c/d = ac/bd
-10 * 1/3 * 9
Step 6. Simplify 10 * 1 to 10
-10/3 * 9
Step 7. Simplify 3 * 9 to 27
-10/27
