Answer:
the number of silver medals won by Brazil is 14
Step-by-step explanation:
The computation of the number of silver medals won by Brazil is shown below:
Given that
Total number of gold and silver medal wons by Brazil was 35
And, the ratio of number of gold medals to the number of silver medals be 3 : 2
Based on the above information
The number of silver medals won would be
= 35 × 2 ÷ (3 + 2)
= 35 × 2 ÷ 5
= 14
hence, the number of silver medals won by Brazil is 14
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:
Step-by-step explanation:
First lets get the formula for a triangular prism

First lets plug in our numbers

It really doesnt matter how you multiply everything, but you end up with 119cubic feet.
Three million, one hundred and fifty two thousand, three hundred and eight.