Answer: The width of the court is 30 feet.
Step-by-step explanation:
We know that the area of a rectangle is given by :-
Area = length x width (1)
Given : A standard-size volleyball court has an area of 1,800 square feet.
The length of the court is 60 feet.
To find : The width of the court.
According to (1) , we have
Then,
Hence, the width of the court is 30 feet.
Answer: The first option.
Step-by-step explanation:
1. You need to remember that:
- An even function is a function with the following property:
f(-x)=f(x)
- An odd function is a function with the following property:
f(-x)=-f(x)
2. By definition, the contangent is an odd function, therefore you have that:
cot(-θ)=-cot(θ)
Then:
3. So, you can coclude that the first step is wrong. Therefore, the answer is the first option.
Answer:
d
Step-by-step explanation:
We can use these variables:
A = number of ounces for solution A
B = Number of ounces for solution B
A + B = 20
Now, we can use decimal conversions.
0.65A + 0.80B = 0.70(120)
Next step: We substitute A into 120 - B to show their relationship.
0.65(120 - B) + 0.80B = 84
Now onto the next equation:
78 - 0.65B + 0.80B = 84
0.80 - 0.65 = 0.15, so…
0.15B = 84 - 78
0.15B = 6
B = 6 divided by 0.15
B = 40 ounces
To find A, we can simply plug B into the starting equation.
A = 120 - 40
A = 60 ounces
Your final answer: The scientist should use 60 ounces of solution A and she should use 40 ounces of solution B. Yeah
To find the lengths of a right triangle, we can use what is called Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the legs of the triangle and c is the hypotenuse.
13^2 + b^2 = 17^2
169 + b^2 = 289
b^2 = 120
b = 11.0 cm
The length of the other leg of the triangle is 11.0 cm (rounded).
Hope this helps!