Which of the following are remote interior angles of <6? check all that apply

Answer: y²z⁴ / x¹²

• The exponent for x is 12

• The exponent for y is 2

• The exponent for z is 4

Explanation:

1) The expression to simplify:

2) Rule: power of a power:

3) Rule: product of powers with identical bases

4) Add up the exponents

5) Transfer the negative exponent to the denominator:

The exponent attached to x is 12, for y it is 2, and for z it is 4.

Response:

The goat population will reach 1000 in a time span of 12.4 years

Detailed explanation:

After t years, the population of goats is described by

where indicates the initial count of goats and b is the growth rate per capita.

Based on the problem,

• 
• b = 0.5
• N = 1000

Answer:

C. The hypotenuse measures twice the distance of the shorter leg.

B. The longer leg is √3 times the length of the shorter leg.

Step-by-step explanation:

A 30-60-90 triangle is considered a right triangle. Triangles containing a right angle are classified as right triangles. Only one right angle can exist in such a triangle. The representation of this case is illustrated below. Let’s clarify why the proposed statements are valid:

The hypotenuse of a right triangle is always opposite to the right angle. If we designate as the shorter leg, the sine law affirms that the hypotenuse is:

This indicates that the hypotenuse is double the length of the shorter leg

The longer leg, which we can call , can be determined with the Pythagorean Theorem:

Thus, it is accurate that the longer leg is √3 times longer than the shorter leg.