Answer:
feet
Step-by-step explanation:
Consider the attached figure.
An isosceles triangle is a triangle in which two sides are equal.
feet
According to Pythagoras theorem,
square of hypotenuse is equal to sum of squares of other two sides.

feet
45 minutes = 3/4 hours
so his speed = 6 / 3/4 kph
= 8 km / h Answer
Answer:
y = 12
Step-by-step explanation:
Looking at the large triangle
tan 30 = opposite / adjacent
tan 30 = 4 sqrt(3)/ y
Multiply each side by y
y tan 30 = 4 sqrt (3)
We know tan 30 = sqrt(3)/3
y * sqrt(3)/3 = 4 sqrt(3)
Multiply each side by 3/ sqrt(3) to isolate y
y * sqrt(3)/3 * 3/ sqrt(3) = 4 sqrt(3) * 3 /sqrt(3)
y = 12
Answer:
The largest integer that belongs to the interval (-∞, 31] is 31
Step-by-step explanation:
The given interval is (-∞, 31], from which the round bracket indicates that the number next to the bracket is not included in the inequality while the square [] (closed) bracket indicates that the number next to the bracket is included in the inequality
Therefore, 31 is inclusive in the inequality while -∞ is excluded.
The find the largest integer that belongs to the interval (-∞, 31] the numbers are arranged on the number line as follows
The numbers presented in number line form -∞, .....-1, 0, 1, 2,..., 31
Giving 31 as the largest integer in the inequality