Answer:
Large books = 11
Small books = 6
Step-by-step explanation:
7x + 5y = 107
7x = 107 - 5y
x = 107/7 - 5y/7
5x + 7y = 97
5 (107/7 - 5y/7) + 7y = 97
535/7 - 25y/7 + 7y = 97
535/7 + 24y/7 = 97
535 + 24y = 679
24y = 679 - 535
y = 144/24 = 6: So x =
7x + 5(6) = 107
7x = 107-30
x = 77-7 = 11
Answer:
3): 14
Step-by-step explanation:
The problem states that ABC and DEF are similar. Therefore, dsue to similar triangles, we have 7x/7=4/x, so x^2=4. Therefore, x=2 (because x cannot be negative). Therefore, AB = 7x = 7*2=14
Answer:
See Below.
Step-by-step explanation:
We want to verify the equation:

To start, we can multiply the fraction by (1 - sin(θ)). This yields:

Simplify. The denominator uses the difference of two squares pattern:

Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:

Split into two separate fractions:

Rewrite the two fractions:

By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:

Hence verified.
Answer:
It's asking you to pick the answer that is closest to the circumference. But before you just pick any answer you need to find the circumference of the circle.
Step-by-step explanation: