Answer:
1. 110°
2. 139°
Step-by-step explanation:
1. 180° in a triangle
180 - 40 - 30 = 110°
2. 180° in a triangle
angles on a straight line add up to 180°
180 - 64 - 75 = 41°
180 - 41 = 139°
Answer:
37.7 feet
Step-by-step explanation:
Given that:
Measurements of Frankie's yard = 20ft x 32ft
He wants to build a path from one corner to another.
To find:
The length of path = ?
Solution:
Let us consider a rectangle
as shown in the attached image in the answer area.
We are given the two adjacent sides of a rectangle and we have to find diagonal of the rectangle.
To find the diagonal, we can use the Pythagorean Theorem.
We are given the base and perpendicular of the right angled triangle and we have to find the hypotenuse.
According to Pythagorean theorem:


Answer:
2x -y ≥ 4
Step-by-step explanation:
The intercepts of the boundary line are given, so it is convenient to start with the equation of that line in intercept form:
... x/(x-intercept) + y/(y-intercept) = 1
... x/2 + y/(-4) = 1
Multiplying by 4 gives the equation of the line.
... 2x -y = 4
This line divides the plane into two half-planes. The half-plane that is shaded is the one for larger values of x and/or smaller values of y than the ones on the line. So, for some given y, if we increase x we will get a number from our equation above that is greater than 4. Hence, the inequality we want is ...
... 2x -y ≥ 4
We use the ≥ symbol because the line is solid, so part of the solution space.
Answer:
7.8. 10 ^ 3 m / s
Step-by-step explanation:
The computation of the average speed in m/s is shown below:
The average speed equation is
= ΔS ÷ Δt;
As We know that
an entire revolution would be40,000 km
and a satellite takes 85 minutes to complete a revolution,
So,
ΔS = 40,000 km = 40,000,000 m
Δt = 85 min = 5 100 s
Now the average speed is
= 40 000 000 ÷ 5 ÷ 5 100
= 7843.14 m / s
= 7.8. 10 ^ 3 m / s